diff --git "a/data/dm_maths/full_data_2/10357_11255.jsonl" "b/data/dm_maths/full_data_2/10357_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10357_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the hundreds digit of 573027324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1897*t**2 - 12720*t**2 - 4880*t**2.\nAnswer: -19497*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of i**6\/120 - i**5\/60 + i**4\/24 + i**3\/3 - 2*i**2. Suppose -7*s = -3*s. What is the units digit of r(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 6*v**2 + 4*v + 13. What is the tens digit of t(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 29215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 262560059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 + -77. Let r = k - -59. Let g = 2 + r. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t + 3*h + 88, -37*h - 1042 = 23*t + 3*t - 5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3567497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 207, 1.8, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 2406.\nAnswer: 2406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/13 - (-313632)\/(-4719). Let b(i) = -i - 1. Let s(t) = -11*t**2 + 22*t + 22. Determine a*b(p) - 3*s(p).\nAnswer: 33*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -6*w. Suppose 3*f - 7*f = -1080. Let k(a) = 273*a**2 - 528*a**2 + f*a**2. Give k(y(o)).\nAnswer: 540*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**4 + 7*l**4 + l**4)*(-1 - 4 + 2).\nAnswer: -27*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.087, -0.5 in decreasing order.\nAnswer: 0.087, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*j + u, u - 44 = -5*j - 70 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 5*d**2 + 2*d - 3. Suppose l + 4*g - 23 = 0, -1 = 3*l + 2*g - 4*g. Let h = -6 + l. Is 9 a factor of m(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q - 3*q + 10*q + 9*q + 1. Let f(r) = -60*r - 3. Let h(x) = -5*f(x) - 21*v(x). Differentiate h(a) with respect to a.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x - 9. Let q be t(-9). Let c = q - 9. Solve 0 = -z - 5*a + 12, -a + 3*a - 4 = c for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43 + 13827\/(-363))\/(9\/66).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 3) + (26 - -10 - 8)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -49*x - 289. Let g = -231 + 225. Let b be o(g). Let i(l) = 3*l. Let u be i(5). Solve c + h + h = 3, u = b*c - h for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 795 is divided by 114?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15953 + 0.07.\nAnswer: -15952.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7202\/(-1108))\/(-2 + 5*2\/4). Put 1, -1, -3, s, 5 in descending order.\nAnswer: 5, 1, -1, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 2*p - 2, 55 = -2*z - 549*p + 544*p for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2031.\nAnswer: 3, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c**3 - 5*c**3 + 2*c**3)*(-2*c - 2*c + 5*c).\nAnswer: -8*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -z + 7. Let y be (-7)\/35 - z\/5. Suppose 4*k - y = -0*k. Calculate the lowest common multiple of 11 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) 7842 (c) 0.5 (d) 0.4 (e) -28\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5*t - 11 = 0, -t - 1 = 2*f + 2*t. What is the remainder when 1\/(2 + -3)*f is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i - 16, -12*c = -7*c + i - 21 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 54*v**2 - 2*v - 1. Let x(a) = -15791*a + 63203. Calculate the remainder when z(-1) is divided by x(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -278, -98, 4, -1, 5, -2 in decreasing order.\nAnswer: 5, 4, -1, -2, -98, -278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 1638 divide 13695318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1529, 6061, 13583, 24095, 37597, 54089, 73571?\nAnswer: 96043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + w = -11, 24*m + 24 = 26*m - 3*w. Let b(c) = 3*c**2 + 10*c - 22. What is the hundreds digit of b(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-184 - (1 + 1))*(-5)\/15. Let d(m) = 3*m**2 + m - 17. Let b be d(5). Let a = b - g. Let f(o) = 8*o**2 + 1. Calculate f(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-14)*(0 + -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - v - 1. Let k be t(2). Let g be (k + -4)\/(-4 - -3). Suppose -d = -g*d + 26. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -61 (b) 0.309 (c) 1\/2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4*643819\nAnswer: -2575276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42164 and 2540?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*l + 77*l - 9*y - 100 = 0, 4*y + 72 - 18 = -2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvttvvtv. What is prob of sequence tv?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 4*s**2 + 2*s + 2. Let b be k(5). Let f = 4 - b. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2295*y + 579*y + 579*y + 570*y + 3*y**2 + 579*y. Let m(o) = -68*o. Determine m(l(s)).\nAnswer: -204*s**2 - 816*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((264\/825)\/(28\/10))\/((-4)\/10).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2 = q - 4, 4*q + 16 = 0. What is the smallest common multiple of w and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 152 and 20?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 129027906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -27*v**5\/4 - 9*v**4 + 15*v**3\/4 + 9*v**2 + 3*v = 0.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-2) - (-75)\/6. Suppose 4*o + 64 = 5*d, d - k = o + 3. Let s = -22 + 10. Is s smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40711275?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/7))**14*(v*v**15*v*v)\/v**8)**(-4) assuming v is positive.\nAnswer: v**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*a + 108*a = 56*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 13*g = 10*g + 366, 5*k + g - 590 = 0. Calculate the remainder when k is divided by 63.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5653 less than or equal to 5655?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/14848 and 41\/2.\nAnswer: 14848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y - 9 = 19*y. Solve -3*a = 24 - y for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (45\/(-30))\/((-2)\/4) - (-12 + 11). Solve v = t*j + 46 - 51, 5*j + 4*v - 1 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 10:20 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1470 + -2305?\nAnswer: -b65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of x**4\/2 - 4*x**3\/3 + 2*x**2 - 3*x + 11. Let k be n(2). Which is the biggest value? (a) 0.2 (b) -2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*x + 35*x + 7040 = -16*x for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 28*p**2 + 25*p - 9. Let y be l(-27). Let r be 63\/y - 3\/(-5). Solve -5*g + 5*a - 15 = 0, -r*a - 3 + 13 = 2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289389639 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (48 - (65 + -48)) + -4?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**3 + 2519*q**2 + 76606*q - 346664 = 0?\nAnswer: -34, 4, 2549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxxxzxxxxxxwpzxwzpxx. Give prob of picking 1 w and 2 p.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 288.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40230 + -443?\nAnswer: 34232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - r. Let o(y) = -y - 10. Let u be o(-13). Let j(k) = -19*k**3 - 4*k. Let b(l) = u*n(l) + j(l). Find the second derivative of b(i) wrt i.\nAnswer: -132*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16776301?\nAnswer: 31, 293, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-39)\/7 + (2 - 51\/21). Let m be (1 - 0)*10*(-11 - x). Is 18 a factor of (m\/(-14) + -1)\/((-3)\/(-84))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14534 and 1806?\nAnswer: 305214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -1300323?\nAnswer: 1300312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m**(-1\/5)*m)\/m))\/(m*m\/((m\/m**(-1\/3))\/m*m)))\/(m*m**(3\/7)*m\/m**(3\/4))*((m*m**(-1\/3))**(-32))**(-6\/5) assuming m is positive.\nAnswer: m**(10271\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 133813.985 and -4110?\nAnswer: 137923.985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i - 8. Let a(f) = -12*f + f**3 - 11 + 4*f**2 + 2*f + 6*f**2 - 2*f. Let s be a(-11). Determine h(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 10*p**3 + 15*p**2 + 52*p + 199. Is w(14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 12 = -2*g. Suppose -5*j - 47 + 573 = -2*f, -g*f = 3*j - 328. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9694 and 30.\nAnswer: 145410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l. Let g(q) be the first derivative of -99*q**2\/2 + 34. Calculate f(g(o)).\nAnswer: 99*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9*5\/315*-168\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 522161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(9) + sqrt(9)*3) + sqrt(2) + sqrt(2)*-1 + 5.\nAnswer: sqrt(2)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*o = -0*n + 17, 0 = -4*n + 4*o - 12. Solve -b = -0*b + n for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88369.0101 rounded to the nearest one hundred?\nAnswer: 88400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/42? (a) -3 (b) 6.75 (c) -0.3 (d) -3\/5 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 2380?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12220121 (base 3) in base 7?\nAnswer: 15364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(5\/2)\/h)**(29\/3)\/(h*h**(-2\/13)*h*h*h**1))**(-2\/17) assuming h is positive.\nAnswer: h**(-277\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a year in months?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**3 + 26*b**2 - 6*b + 37. Determine o(9).\nAnswer: 631","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*p + 4*t = 32*p - 48, 5*p - 58 = 3*t. Let 3600 + 20*c + 209*c + p*c + 4*c**2 = 0. Calculate c.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -c**7\/490 - c**6\/70 - 3*c**5\/140 + 3*c**2 - 4. Let m(v) be the second derivative of d(v). Solve m(s) = 0 for s.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11011 - -18802. Is 7 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 48 in decreasing order.\nAnswer: 48, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-94)\/(-18) - (-9)\/((-81)\/2). Suppose 0*z + 3762 = 3*z - 3*u, 4*z - w*u = 5011. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7521 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -197, -40, 117?\nAnswer: 274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -290 by -6.\nAnswer: 145\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -703\/5 - -139. Calculate the common denominator of u and 4 + -12 - (-135)\/(-60).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(18)\/sqrt(6)*1)**2.\nAnswer: 8*sqrt(3) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1691*o**2 + 676*o**2 + 590*o**2 - 1 + 629*o**2 - 3 to k*o**2 + a + h*o and give k.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 272, 271, 270, 269?\n\"Answer: -x + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 331 - 330.6317. Let a = -0.343 + k. Let h = a + -0.023. Round h to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - (0 + -21)) + 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 723583806?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38)\/(-10))\/((((-5832)\/270)\/(-27))\/2)?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1833*k**3 + 719*k + 359372240.\nAnswer: 5499*k**2 + 719","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z + 1. Let d(v) = -10*v + 926. Calculate -d(p) + 4*m(p).\nAnswer: -2*p - 922","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2994 - 5986 - x**2 + 2980 - 7*x. Determine l(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, 1\/3, 0.4, 3\/17, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1138 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 364231267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -33*l - 20. What is b(-3)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -32*x + 68. Let l(q) be the first derivative of -1\/3*q**3 + 3\/5*q**5 + 0*q - 4 + q**4 - q**x. Let l(p) = 0. Calculate p.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 16*d - 4. Let j(i) = -17*i + 4. Give 4*j(f) + 5*u(f).\nAnswer: 12*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3570*t**2 - 4792*t**2 + 445*t**2 + 375*t**2.\nAnswer: -7542*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 o when two letters picked without replacement from cccciciyicico.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**3 + h**2 + 2*h - 2. Let b be i(1). Solve 0 = b*p + t - 10, 0 = 2*p + 6*t - 2*t + 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -747 + 750. Suppose -5*s - 2488348 = -w + 6821637, -q*s + 9310009 = w. What is w rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 8*y + 11. Let l be (8\/(-20))\/(4\/50). Let w be 6 + 2 + l + -1 + -8. What is i(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 - 2*r**2 + r**2 + (r**2 - 2*r**2 + 0*r**2)*(3 + 0 + 0))*(4 + 1 + 5 + 2*r) + 16*r**3 + r**3 - 2*r**3.\nAnswer: 3*r**3 - 60*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49) - (-1*sqrt(49) - sqrt(49))*4)\/(sqrt(56)\/(sqrt(72)\/sqrt(9))).\nAnswer: 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 261 = 3*f, 109*m - 112*m = -5*f + 469. Calculate the remainder when 356 is divided by f.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + -61. Let i = -45 - v. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 4*z - 31, -38*u + 33*u + 33 = 2*z. Solve 0 = -3*w + v - 10, 7*w - u*v = 2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1199653 rounded to the nearest ten thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 402362284 to the nearest integer?\nAnswer: 20059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 518431.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fbvffbbfvffvf. Give prob of picking 3 v.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*v = 3*h - 25, -15 = -4*h + v. Suppose -5*r + 170 = h*j, -4*r + 48 = j - 100. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**3 + 30*w**2 + 34*w - 33. Let z be k(16). Put 2, 1, z, -4 in descending order.\nAnswer: 2, 1, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 4\/3, -2, 586, -6, 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 113, 1, -247 in increasing order.\nAnswer: -247, 1, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**8*((d**(2\/5)*d)\/d)\/d*(d*d*(d**(3\/2)*d)\/d)**29 assuming d is positive.\nAnswer: d**(1089\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4092 + -2923. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4781634964.54296 and 5.\nAnswer: -4781634959.54296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of y**4\/12 + 10*y**3\/3 - 7*y**2 - 143*y - 1. Give b(-20).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*(36\/6)\/30\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 5822.\nAnswer: 29110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1032 + 0.072. Round m to 3 decimal places.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 = -5*v - 18. Calculate the remainder when v is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 h when two letters picked without replacement from zzzzzhhhzzzhzhzzzzh?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3486 is divided by 438.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 39630 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -115 - -118. Let m = 0.03 - -2.97. Let f = -3.1 + m. Sort p, f, 0.5 in decreasing order.\nAnswer: p, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + (-2)\/2 - -366. Let x = p + -235. Suppose 0 = 3*c - 4*c + x. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48\/13 - 1130\/299. Suppose -8*i = -5*i - 12. Suppose -5*x - i = -x. Is x at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352249 is divided by 1061?\nAnswer: 1058","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + w + 1)*(-12 + 85 + 0) in the form i + l*w and give l.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 21\/18 - 76\/24?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of i**3*w**3 - 20371815*i**3*w + 3215*i**3 - 136 wrt w.\nAnswer: 3*i**3*w**2 - 20371815*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2 = -z, 0*z = 3*h + z - 18. Solve -4*a = -7 - h for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.49 and -0.10196?\nAnswer: 0.0499604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of 5\/2*m**2 - 1 + m. Differentiate j(f) wrt f.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15535 rounded to 3 decimal places?\nAnswer: 0.155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-205)\/(-82)*2\/(-70)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.663 + -0.6. Let i = a - 0.11292. Let g = i + 0.05. Round g to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-394)\/(-4925))\/(2\/(-1)*7\/(-14)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + u = 3*v, 4*u + 2*v = -2. Which is greater: u or 1\/184?\nAnswer: 1\/184","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 v when three letters picked without replacement from lkvvquqklqvqvlqulqqq.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7*q + 1. Suppose -4*r = 6 - 10. Calculate p(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -20*u + 9. Let d be i(-3). Suppose 0 = -5*c + d + 31. Is c less than 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196171.2 centuries in months?\nAnswer: 235405440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 72 = -10*f. Suppose 2*r - 2*b + 6 = 0, f = r - 0*r + 4*b. Let l(g) = 11 + r*g + 1 - g - 7. Calculate l(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 1.4, 2, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6187451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*p = 3, q = -0*p + p + 3. Let x = 1 - q. What is the third derivative of z**5 + 3*z**5 - 2*z**5 - 2*z**x wrt z?\nAnswer: 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 + -21. Let s = 6 - i. Let o = 5 + s. What is the third smallest value in o, -3, 0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 90 = 24*j. Solve 4*h - j*h + 4 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 286*w**2 + w - 3. Let r be l(-4). Let n = r + -1376. Let a = -13393 + n. What is a rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -66*l + 59. Let n(y) = -33*y + 22. Give 7*n(p) - 3*s(p).\nAnswer: -33*p - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**3 - 409341 - z**3 + 5*z**3 + 21*z**3 + 409341.\nAnswer: 24*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 - 2 - 3) + 3. Suppose -k*o - b - 48 + 7 = 0, 0 = o + 3*b + 13. Let g be (-24)\/(-1)*o\/(-20). Solve 0 = -3*q - m + g, -2*q + 10 + 12 = -4*m for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*b**3*p**3 + 565*b**3*p**2 - 2*b**2*p**2 - 13*b*p**4 + 62*b + 2868*p**4 - p**2 wrt p?\nAnswer: 72*b**3 - 312*b*p + 68832*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(((-5580)\/(-216))\/31)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 4 - (-18 - -23) - -32\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express a - 3*a**4 + 4*a - 2*a**3 - 4*a in the form z*a**4 + c*a**3 + j*a + b*a**2 + q and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11690a (base 11) to base 14.\nAnswer: -4b4a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 17\/(-4) + (-2 - 30\/(-24)). Let p be (-1 - (t - -3))*0\/2. Suppose 0 = 4*s, p*x + 371 = x - s. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 53*k**2 + 25066*k - 1421. Determine b(-473).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 263 = 5*o + 26, -5*l - 360 = 5*o. Which is greater: l or -75?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 4*w**3 + 56*w**2 - 380*w = 0.\nAnswer: -19, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 21*d**2. Let j(s) = 11*s**2. Determine -4*f(a) + 7*j(a).\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -140*f**2*p**3 - 3*f**2*p + 331*f*p**3 - 24*f*p**2 + 7*p**2 + 5*p wrt p.\nAnswer: -840*f**2 + 1986*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 6, -3, 2, 649 in ascending order.\nAnswer: -3, -2, 2, 6, 649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/7, -79, 0.022?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 75438 and -14.\nAnswer: -1056132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 2) to base 9\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/1380595 and -4\/139.\nAnswer: 191902705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -65 in ascending order.\nAnswer: -65, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*d - 71*d = -4475453. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9570 and 159720.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11966\/11 + -1088. Let h = -1.9 - -2.12. Let j = h + 0.08. Which is the nearest to 2\/7? (a) j (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 500 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -3, -4, -4073, -2, -5, 0 in descending order.\nAnswer: 23, 0, -2, -3, -4, -5, -4073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 - 40618211*b**2 + 412459786519235*b - 412459745901025.\nAnswer: (b - 20309105)**2*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 25948.281 to the nearest 1000.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - i = -77, 0*b - 156 = -2*b - i. Let l = -556\/7 + b. What is the nearest to 2\/7 in 3, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64 + 519. Suppose 4*p - 3*s = 616, -2*p + 4*s = p - q. Let z = 222 - p. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92 and 1196.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 7*c + 9. Let a be m(-6). Suppose a*y - 4*t - 18 = -t, -5*y + 4*t + 31 = 0. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -6*k**2. Let m(d) be the first derivative of -5*d**3\/3 - 985. Suppose 3*y = -0*y + 3. Let i = 3 - y. What is i*p(c) - 3*m(c)?\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (86\/(-12))\/(4\/(-6)*2) and -28\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2 - 23 = -3*x, 4 = x + 4*i. What is the highest common divisor of 952 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 12*f. Let g be q(1). Suppose -3*h + g = 4*w, 3*w - 2*h + 3 = 4*w. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -1\/3 (c) 1\/71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10381 = -292*l - 715 for l.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 590 is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 218, 448, 688, 944, 1222, 1528, 1868?\n\"Answer: r**3 - r**2 + 226*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2292811 to the power of 1\/2, to the nearest integer?\nAnswer: 1514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-149)\/((-118008)\/(-10989)))\/((-3)\/(-2))\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2752.98 + -2753. What is the smallest value in 2\/13, h, -1\/3, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in -0.3, -1.3, -2\/31, -1\/6?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 7*p = -12. Suppose -p*l - 1 = 5. Is (-1)\/l - (-102)\/12 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32476140 and 1080.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**4 + 1 + 3*p**3 - 7*p + 8*p + 3*p**4 in the form q + t*p**2 + o*p**4 + u*p**3 + y*p and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 + 3*k + 1. Let b be i(-2). Let g be (16\/(-4) + 3)\/(-1). Suppose 23 = b*l - g. What is the remainder when 22 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/3)\/(2\/(-6)). Let z = 4 + 20. Does 9 divide f\/((5\/z)\/(-5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and -0.158.\nAnswer: -0.00474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -244 - 2128?\nAnswer: -2373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -146213, 4, 1\/6, 2, 3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 483, 547, 657, 813, 1015?\n\"Answer: 23*p**2 - 5*p + 465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2094282, 2094287, 2094292, 2094297, 2094302?\n\"Answer: 5*g + 2094277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 17*j**2 - 84*j. Let b be y(21). Sort 5, -5, -1, -16, b in descending order.\nAnswer: 5, b, -1, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xc when two letters picked without replacement from zaaaxzzazc?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14178480 divided by -2835696.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125)*5)**2 - sqrt(5)) + -3.\nAnswer: -sqrt(5) + 3122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -10*m - 7. Let f be p(-5). Suppose f + 37 = h. Suppose -6*v = -v - h. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o**7\/14 - 4*o**6\/5 - 611*o**4\/2 + 2*o - 527. Find the third derivative of f(r) wrt r.\nAnswer: 180*r**2 - 576*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 38 = 8. Suppose -90 = -r*f + f. Is f greater than 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z. Let f(u) be the third derivative of 20*u**2 + 1\/5*u**5 + 0*u + 0*u**4 + 0*u**3 + 0. Determine f(x(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - u - 2*u)*(-4*u + 4*u + 2*u**2) - 40*u**3 - 75*u**3 - 155*u**3.\nAnswer: -274*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, 2\/7, 0, 20.29203?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -5*u + 73 - 25, 5*y = -5*u + 120. What is the hundreds digit of ((-8)\/y)\/(1\/(-285))*10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 124 and 434?\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112294 = -10464*g + 829466 for g.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3965 and -39365.157801.\nAnswer: -43330.157801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 y when two letters picked without replacement from jyawwjwwwjwwjy?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**2*v**2 + 8113*c**2 + 770*c*v**2 + c - v wrt v.\nAnswer: 6*c**2 + 1540*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 11133020?\nAnswer: -11133021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/9)*r)\/r*r*r*r*r*r**(-7)*r)\/((r\/(r*r**(2\/7)))\/r)**(-23)*(r**(1\/4)*r)**(1\/19)*r**1\/(r*r**(1\/9)\/r) assuming r is positive.\nAnswer: r**(-145529\/4788)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 106 in 2\/7, 1\/3, -22, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 minus 0.109?\nAnswer: 1.591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 19\/4 of a tonne?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k. Let b(f) = 15*f - 40*f - 35 + 5 + 23*f. What is b(m(w))?\nAnswer: -4*w - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2010034?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -29*j**3\/6 - 3*j**2\/2 + 5*j + 19005. Let d = -21 - -10. Let v(x) = 10*x + 1. Determine d*v(p) - 4*o(p).\nAnswer: 6*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 6 = -34. Suppose -d + 2 = -1. Solve -m = d*t - 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - 3666 + 3666.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 24\/7, -19 in decreasing order.\nAnswer: 24\/7, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 7*v - 15 = 0. Let h = v + 6. Suppose 0 = h*t - 8*t + 105. What is the greatest common divisor of 189 and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**(-4))\/q*((q*q**(-1\/6)*q)\/q)\/q*(q*q*(q*q*q**(-2\/5))\/q)\/q**(2\/9))**(-3\/23) assuming q is positive.\nAnswer: q**(71\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 22\/5, -0.3, 2\/31, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 6*c**2 + c + 13. Let p(x) = -x + 12. Let d be p(6). Let z be t(d). Let s = z + -4933\/21. Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 145\/3915 + 620*(-3)\/(-81).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14707 and 187?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2073066777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 30029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 10:04 AM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*d**2 + 55*d**2 + 54*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/115 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 54, 30, 8, -12, -30, -46?\n\"Answer: r**2 - 27*r + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28343521 and 368.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*o - 40*o + 128 = 0. Let b be o*((-15)\/6 - -2). Solve -3*z - 5*i = -34, -i + 3*i - 22 = -b*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2. Let v(t) = 3*t - 12. Let y(c) = c**2 - 10*c + 24. Let x be y(6). Let f(i) = 0 + x*i + 2*i - i - 1. Let z(q) = f(q) - v(q). What is h(z(g))?\nAnswer: -4*g**2 + 44*g - 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 0. Suppose c = 2*l - 4. Suppose l*i = 29 + 77. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 5*k + 5 = 0. Suppose -k*j + 4*j = -3. Suppose 0 = -w - 4*a - 10, -a = -w + j*w - 1. Let m(z) = -2*z**3 + 2*z**2 + 2. What is m(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2397 - 0.6\nAnswer: -2397.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/128*4*1\/(-3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -f + r, -f + 0*r + 8 = 4*r. Calculate the smallest common multiple of f and 23.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7386, 7405, 7424, 7443?\n\"Answer: 19*w + 7367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/(x\/(x**21\/x*x)*x))\/x)*(x**(2\/19)\/x)\/x)**(1\/7) assuming x is positive.\nAnswer: x**(-54\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/((-3)\/(-9))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + -208024.\nAnswer: -208024.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 108283285 to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35713 - -71427\/2. Let x(c) = 6*c + 4. Let g be x(4). Suppose h - g = 5*h. Find the common denominator of j and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yyjyjyj.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -13 + -1 + 0 + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45243 + 9184347\/203. Which is greater: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zn when two letters picked without replacement from zzznzn.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 d, and 1 f when three letters picked without replacement from {d: 1, z: 2, o: 10, h: 3, m: 2, f: 2}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11, 5, 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38.3 - -37. Let u = 0.2 - l. Which is smaller: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5991*g**4 + 46*g**3 + g**2 - 2721601*g.\nAnswer: -71892*g**2 + 276*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 4*l = -19, -53*g + 3*l = -50*g - 15 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 12:28 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 13 = -35. Differentiate w + 57*y**2 - 26*y**2 - 32*y**2 wrt y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -112221112?\nAnswer: 112221121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72880*m - 2*m**3 - 72880*m.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 1918.\nAnswer: 1\/1918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 + 40. Suppose 3*w = 4*w - 3*d, d = 3*w - 40. Let p = o + w. What is the lowest common multiple of 2 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 573457648.\nAnswer: 2, 35841103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 236749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - 6\/(-4))*90\/(-15). Let p be a\/24 - 2430\/80. Are p and -25 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56141884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 888329794.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237012 is divided by 158.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, b: 13}. Give prob of sequence bqqq.\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/((b\/((b\/(b*b*b**(-10)\/b))\/b)*b)\/b)*b*b)\/b)\/b**(-4\/9) assuming b is positive.\nAnswer: b**(103\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 64527 and -0.1.\nAnswer: -6452.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -0.3, -2588 in ascending order.\nAnswer: -2588, -1, -0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 996 + -976. What is the remainder when a is divided by (-1 + 0 - -2)*11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 4*f - 40, 2*f + 2*f + 2*f = 3*f - 0*f + 41*b - 234 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*c = 62. Let f = -13 + c. Calculate the greatest common factor of 2 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 5 - 2) + 1 + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 46.\nAnswer: 7\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ajk when three letters picked without replacement from tyjtkka?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1191?\nAnswer: 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**3 - 27 + 14 + 0*v**3 to r*v + l + i*v**2 + u*v**3 and give l.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 19*p**2 + 25*p - 4. Is h(-17) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert edb5 (base 15) to base 11.\nAnswer: 34909","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v - 34. What is the remainder when 8 is divided by j(-35)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22048 divided by -10?\nAnswer: 11024\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**2 + 207*h + 3534 = 0. What is h?\nAnswer: -38, -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8940 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5325 in 1\/6, -26, 5, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*50\/(-2625)*14\/12?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 217955 (base 13) in base 6?\nAnswer: 24520405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 7. Let i = 3 + -4. Let m be (-6)\/4 - 2*i. Is m greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -2 (c) -1 (d) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/4)\/7*(13 - 22\/6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 12, d: 1, a: 3}. Give prob of sequence adza.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -143*c + 91. Let t(p) = -8*p + 5. Give 91*t(w) - 5*v(w).\nAnswer: -13*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2352 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2 - 44*(-5)\/(-120).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k - 1406362 + 1406362.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 5*u + 2. Determine c(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94 - 134 = -5*k + 4*m, -3 = 3*k + 3*m for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20111 + 20110.4. What is the second smallest value in 1.3, 12, 5, j?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 654, -4, -3874, 3 in ascending order.\nAnswer: -3874, -4, 3, 654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*n + 3, 4*n - 24 = -x. Let o be 2\/(-6) - (-143)\/33. Calculate the smallest common multiple of x and (1 - -2) + 3 + o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of g**5\/60 - 5*g**4\/24 + g**3\/6 - 4*g**2. Let v be x(4). Let n be (-304)\/56 - v\/7. Sort n, -1, 2 in decreasing order.\nAnswer: 2, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18\/23 or 771?\nAnswer: 771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 54*o**3 - 85*o**2 + 1729*o - 45. Let w(v) = 27*v**3 - 43*v**2 + 864*v - 20. Let r(x) = -4*g(x) + 9*w(x). Find the second derivative of r(m) wrt m.\nAnswer: 162*m - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 344, 390, 436?\nAnswer: 482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 668329 * -420\nAnswer: -280698180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 284.38 - 290. Let v = c + 0.62. Let s = 0.21 + -0.01. What is the second biggest value in v, s, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**3 - 6*y**2 + 17*y - 30. Determine s(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7106 and 48374?\nAnswer: 9045938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 36 = -9. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -96, 2\/7, 0 in ascending order.\nAnswer: -96, -0.5, 0, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - -5.76107.\nAnswer: 6.76107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, z: 4, g: 3}. What is prob of sequence qq?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 187*t**2 + 14*t - 53. Is c(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-4)*8*(-4)\/(-160).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2561523 is divided by 1280727?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -899*a + 888*a - 44 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*a = -3*c - 12, 2*c - 2*a + 6 = 0. Solve -21*w + 28*w - 7 = c for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i + 2*i - 2*i + (-3 + 0 + 1)*(-i + 2*i - 2*i) - i - 2*i + 4*i)*(-83 + 3*i**2 + 83)*(2*i - 4*i + i) to g*i**2 + f + s*i**3 + y*i**4 + l*i and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of r**4\/12 - 5*r**3\/6 - 19*r**2\/2 - r. Let j be q(8). Suppose -6*f + 11 = -j*f. Is 8 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2374650 and 945?\nAnswer: 16622550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, e: 10}. What is prob of sequence eeb?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*1\/3 - (-59)\/(-3). Is (-1965)\/(-4) - (-5)\/r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 9*l - 3. Let y(i) = 8*i - 2. Suppose 43*o = 15*o - 168. Give o*y(g) + 4*m(g).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 374*r**2*w**2 - 2*r**2*w + 243*r*w + w**2 wrt r?\nAnswer: 748*w**2 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - -4. Let u be (1\/(-2))\/((-7)\/y). Factor -2*v**3 - 9*v**u + 21*v**2 - 14*v**2.\nAnswer: -2*v**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 22cc - -2?\nAnswer: 22d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from kqqkqkk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 9. Calculate the lowest common multiple of 18 and (-1 + -7)*(c - 3).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -73 - -86. Suppose s*a = 892 + 343. Let u = a - 92. Solve -5*m = 4*d + 17, u*d - 2*m = -5 + 21 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 14*g - 16. Calculate the remainder when s(-20) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i - 4*i + 7*i. Let h(m) = 8*m - 3. Let t(p) = 17*p - 7. Let z(r) = 7*h(r) - 3*t(r). What is z(o(y))?\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 126322105 a multiple of 3259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 12*u**2 - 47*u - 27. Let r = 277 - 292. Let h be k(r). Let l = 1 - -2. Solve -4*i = 2*y + h + 7, 9 = -4*y + l*i for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 4*y**2 - 3*y + 1. Let r be (3 + 2)*(0 + 1). List the prime factors of o(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -391 = -246*p - 1907 - 1190 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*d - 41*d**4 + 23*d**4 + 25*d**4 wrt d.\nAnswer: 84*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 294460 and 2355680?\nAnswer: 2355680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3001*n - 3001*n + 3*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.72 - 4.28. Let g = 3 + -4. What is the closest to g in v, 1\/4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -25*d**3\/3 - 2*d**2 + 6*d - 593. Let v(q) = 12*q**2 + 2*q - 3. Determine -6*a(l) - 13*v(l).\nAnswer: -6*l**2 - 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 31*6\/(-9)*-3. Suppose 0 = -4*m + x + h, -2*m + 20 = 3*x - 18. Suppose 7*p - 10*p = -240. Calculate the highest common divisor of m and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 220, 423, 598, 733, 816, 835?\n\"Answer: -2*m**3 - 2*m**2 + 223*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403 is divided by 389?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 7*m + 3*m - 3570. Calculate the greatest common factor of m and 210.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -22 + 118. Suppose -c - b = -5*m - 4*c, -3*m - 3*c = -24. List the prime factors of -40*(0 + (-2)\/m).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 = -666*l + 677*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259524567.\nAnswer: 3, 17, 29, 67, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(300)\/sqrt(5))\/sqrt(12) - sqrt(1125)*1)*5.\nAnswer: -95*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 20*a**2 + 12*a - 53. Let l be j(14). Suppose -n - 4*h + l = -2*h, n - 1291 = -h. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 3 + 18 - 4)*(w - 2*w - w)*(-334*w**3 + 334*w**3 + 13*w**4).\nAnswer: -806*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 6*n + 4. Let o(l) = l**2 - 25*l - 155. Let y be o(-5). Give k(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-4)*(-16)\/2. Suppose p + 0 = s. Solve 5*x - 20 = -p*w, -w - 2 = -7 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 14 = 4*w, -3*a + 15 = -0*a for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 7\/3*n**3 + 3*n - 22 + 2*n**2. Suppose -3*y - 5 = -u, -2 - 3 = y + 3*u. Determine d(y).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hahphhapvaa. Give prob of sequence aa.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2203734364124 - 236\nAnswer: -2203734364360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5252 + -5251.9. Put f, -0.16, -0.5, -7, 0.4 in decreasing order.\nAnswer: 0.4, f, -0.16, -0.5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(192))**2 + 1*sqrt(75).\nAnswer: 5*sqrt(3) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20323332 - -133?\nAnswer: 20324020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 170055469 and 0.4.\nAnswer: 68022187.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 5:06 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -345638 + a?\nAnswer: -34562a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -659088450285218*v**2\/11 + 72613412*v - 22 = 0 for v.\nAnswer: 11\/18153353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 4*q - 8, 0 = m + 2*q + 2 - 12. Suppose -106*i = -114*i. Solve i*t - m = -t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 2*l = -4*w + 80, 0 = -5*w - 4*l + 98. Is 4 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 10 - 2 = 0. What is the derivative of -5*k**4 + 0*k**4 + 2 + k**4 + 3*k**p wrt k?\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 8:44 AM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1181*z**2 + 1188*z**2 - 3 + 3.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2930, -2922, -2916, -2912, -2910, -2910, -2912?\n\"Answer: -m**2 + 11*m - 2940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4135645 is divided by 4409.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*t - 12*t + 1680. Is t*88\/(-1) - -3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -1, -32, 1, 1\/7, -5993 in decreasing order.\nAnswer: 1, 1\/7, -1\/2, -1, -32, -5993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 2714.824439?\nAnswer: 2714.724439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2403168, -2403164, -2403158, -2403150, -2403140, -2403128, -2403114?\n\"Answer: u**2 + u - 2403170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-3)\/2)*5\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*w**5 + 4*w**5 - 6*w**5 + w**5 - w**5 + 7*w**5 + 1 - 1 - 2*w**5 + (13*w**2 + 11*w**4 - 13*w**2)*(-4 + 2*w + 4) - 3*w**5 - w**5 + 3*w**5.\nAnswer: 15*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -43 - (-47 - -26 - -33) - -14\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aavlalvavaaa. What is prob of sequence vllv?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - -2. What is the remainder when 27 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36.9 - 47. Let d = z - -10. What is the biggest value in 1\/3, 2\/5, d?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmrmrmmmmfqmm. What is prob of sequence mqr?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1716827 and 1226305.\nAnswer: 8584135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 709443227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 0)\/3 + 0. Suppose 3*d - 7 - 2 = x. Suppose 6 = d*r - 2*r. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a week in minutes?\nAnswer: 2688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -276*h + 6. Calculate v(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 6\/14) + 1216\/4928?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 3\/4, -4, 21785, -0.4 in descending order.\nAnswer: 21785, 3\/2, 3\/4, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 + 0. Let w = -10 - n. Let a be (-36 - -24) + (-2 - -94). Calculate the greatest common factor of a and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 1399 = -1393 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/9)\/(6\/(-27)) + -6. Sort -5, 5, q in ascending order.\nAnswer: -5, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*d**2 - 34*d**2 + 29*d**2.\nAnswer: 43*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5133.\nAnswer: 3, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 1991\nAnswer: -1991.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + -17 + 129 + -66.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 14*p + 4. Let a(d) = 29*d + 9. Give 3*a(t) - 7*n(t).\nAnswer: -11*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oa when two letters picked without replacement from aqbgo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -22*a + 20*a. Let g(s) = 44*s**2 - s + 1. Calculate the remainder when g(1) is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26.8 + -38. What is v rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - -0.7. Let s = 17.5 - 18. Let k = -1 - s. Which is the closest to -2? (a) -2\/7 (b) m (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 9. Let g = 5.96 + l. Let n = g - -0.04. What is the second smallest value in 3\/7, 0.5, n?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(1872)*-2*-1 - sqrt(1872) - sqrt(1872))*-6 + 1)**2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 + -108. Let u = w - -133. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -115 in 4, -5, -2\/11, 89?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -7. Let q be (h\/6)\/(1\/6). Suppose 5*c = q*p, -5*c + 0*c = -p. Put c, 1, 5 in decreasing order.\nAnswer: 5, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*m + 294 - 318 = 0, -2*x - 3*m = 10. Solve d + x = t + 7, -12 = -3*t - 4*d for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -346 - 489. Let p = o + -251\/2. Calculate the common denominator of 146\/(-40) - (-1)\/(-4) and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 915 = -3*h, 151 = -3*f - h + 1070. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*a = -9, -3*a + 12 = -3*c + a. Suppose 16 = -c*k + 4*k, -4*l - 4*k + 4 = 0. Let f(j) = j - 32. Let r be f(10). Sort r, -5, l in decreasing order.\nAnswer: l, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 2*x - 4, -4*x + 0 = 3*i + 8. Let a be 1\/(-2) + (-11)\/(-22). Let a + 2\/5*s**3 + i*s**2 - 2\/5*s = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - 3*t + 3*t)*(2 + 3*t - 2 + 1 - 2*t - 1 + (3*t - 4*t + 3*t)*(2 + 1 - 5) + t - t - t).\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79053 is divided by 3437.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 16 = 2*v. Suppose -v*u = 2*p - 40, -5*p + 19 + 0 = u. Calculate the highest common factor of u and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 13 + 37. Let a = 3 - g. Let y be a\/(6\/(-1400000)) + 0. Round y to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3*g - 18 = -2*g, 3*g = 0. Let c be (75\/6)\/5*b. Solve 5*j + 0*j + x = -2, 5*x = c for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 18*u**2 + 438*u - 326. What are the prime factors of w(42)?\nAnswer: 2, 29, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4775 - 4775.040192. Round b to three decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2\/2 - 39215*a\/2 - 19605.\nAnswer: -5*(a + 1)*(a + 7842)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 5*u + 15 = 0, 5*m + 228377*u - 228373*u - 3 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/10)\/(513\/285).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/4, 3, -1\/3, 2\/9 in ascending order.\nAnswer: -1\/3, 2\/9, 5\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (2 + 4)) + -42 + 51?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 n when two letters picked without replacement from nruurunrurrrrrrrurr.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.25 * 3.7.\nAnswer: 4.625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 23*k**2 - 87*k + 39. What is p(3)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 23 - 8. Let i be 15\/(-12)*(j + -1). Suppose -6*l + l = -i, 4*s = -3*l + 83. Calculate the greatest common factor of s and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -245912 - -1721386\/7. Factor 10\/7*x + n*x**2 + 0.\nAnswer: 2*x*(x + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 914*x**3 + 3*x**2 - 6*x. Let k(o) = o**3 - o**2 + 2*o. What is 6*k(w) + 2*n(w)?\nAnswer: 1834*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18709223551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**5\/3 - 112*k**4 + 7384*k**3\/3 - 4592*k**2 + 6724*k\/3 = 0. What is k?\nAnswer: 0, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + z**2 + 11*z + 9. Let x be c(-1). What is the third smallest value in x, -0.5, -8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1311757 is divided by 19875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 5*d**4\/24 + 15*d**2 + 28. Let h(p) be the second derivative of r(p). Let c(f) = 2*f**2. What is h(c(a))?\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 596946846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44912763 and 1029?\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/106 (b) -79 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n = 32 - 56 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-33)\/22)\/(3\/(-4)). Let p be (-6*(-2)\/7)\/(b\/133). Calculate the highest common divisor of 38 and p.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 0. Suppose 14 = -g*j + 2*j. Calculate the remainder when j is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 15*w**2 - 23*w - 9. Suppose 0 = -22*g - 73 + 271. Does 45 divide u(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 10*f**2 - 7*f - 15. Let u be v(9). Let m(c) = 8*c + 5*c - 5*c - u*c + 1. What is m(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u - 55. Let f(p) = -21*p**2 - 3*p + 3. Let l be f(1). Let z be h(l). Solve 3*n = n + z for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of 0*j**3 + 1\/105*j**7 + 0 + 0*j**6 + 0*j + 1\/12*j**4 + 0*j**5 + 2*j**2. What is the second derivative of r(g) wrt g?\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1\/6 (b) -39 (c) -2\/11 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39693 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5*o**2. Let w(u) = 59*u - 11*u + 72*u + 7*u + 42*u - 1. Calculate w(s(p)).\nAnswer: 845*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 5*k - 35 = 0, -2910*k = 10*z - 2913*k + 38 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 + 0.7. Let p = n - 0.5. Let a = 3\/809 + 2412\/4045. What is the nearest to a in 0, p, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/77, -0.5, -5, 3, 6\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-28)\/(-84) + (-62)\/(-12) - 4. Which is the biggest value? (a) s (b) -3 (c) 3\/4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06886142169 rounded to 3 decimal places?\nAnswer: 0.069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 1446*k + 10. Let l be i(0). Let u(s) be the first derivative of -s**3\/3 + 2*s**2 + 4*s + 1. Let f(q) = q + 1. What is l*f(y) - 2*u(y)?\nAnswer: 2*y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d + 8. Let q be r(16). Is 24\/q*61*537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -87 in 9\/2, -0.11, -18\/5?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -7*w**4\/4 - 3*w**2\/2 + 3*w + 16. Let j(c) = 6*c**3 + 2*c - 2. Let l be (-2)\/8 + (-77)\/44. What is l*n(f) - 3*j(f)?\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 4:17 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3.014 * -1.5\nAnswer: 4.521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57632242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13079882 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 20*d**2 - 6*d**2 + 7*d**2 - d**3 + 28. Is b(21) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7144 = -238*w + 7603 - 1419 for w.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from glzzlgllllll. Give prob of sequence glzl.\nAnswer: 28\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 6*y**2 - 7*y - 6. Let d be p(-5). Suppose u = -4*x + 3 - 4, -5*u + d*x = -19. What is the derivative of h + 2 - h - h**3 + 2*h**u wrt h?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 304 (b) -4\/15 (c) 2\/63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -86887, -86884, -86881?\n\"Answer: 3*m - 86890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 20. Suppose -3*p + y = 0, d - 3*p + 27 = 8. Let z be (-6)\/4*d\/(-3). Is z less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 85 = 3*g, 3 = 3*d - 12. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.828449 nanometers?\nAnswer: 0.000000000828449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27864101527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 4968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -2203 to the nearest one hundred.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (1 - -1 - 1)) + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24.856 + 25. Let n = s - 0.14529. What is n rounded to 4 dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + (-10)\/7 + (-552)\/(-112))\/6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/15957926 and -36\/119089?\nAnswer: 15957926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 212289827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g - 318 = -12*g. What is the remainder when g is divided by (-1)\/((-14)\/328) - (-45)\/(-105)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + i**3 + 1 + (2*i**2 + i**2 - 2*i**2 + (0*i - 2*i + i)*(0 + 0 - 2*i) + 0 + 0 + 2*i**2 - 3*i**2 + 4*i**2 - 2*i**2)*(-3*i - 2*i - 6*i).\nAnswer: -43*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16\/(-7))\/(-8))\/(108\/42).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000385852 rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q = -q - 3, -6*r - 6 = -9*r + 5*q for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 382104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 16*w**2 + 74*w + 87. Determine z(0).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.82 + 1.21. What is q rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1894 - 2016) + 5 + 95?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 7*l + 5. Suppose 0 = -w + v - 3, 2*w - 5*w + 6 = 2*v. Suppose -u - 4*u + 30 = w. Give b(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/13*((-3525)\/275 + 13).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44268 and 27528?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 705045 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 11*j**2 + 79*j - 14. Let m be v(-16). Which is the nearest to 5.6? (a) m (b) -1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 240\/6660*((-2)\/12)\/((140\/(-90))\/(-7)).\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*x = 24*x + 120. Let k(d) = 35*d - 57*d - x*d**2 + 93*d**2 + 22 + 30*d. Is k(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/3))**(2\/7)\/(g**0*g*((g**(7\/2)\/g)\/g)\/g*g) assuming g is positive.\nAnswer: g**(-101\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 7913*r**2 - 4. Let t(h) = 32*h. Calculate t(n(m)).\nAnswer: 253216*m**2 - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11151.8 rounded to the nearest one hundred?\nAnswer: -11200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 3:21 AM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - 37 - (-8 + -14) - 17.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 109827 and 18?\nAnswer: 219654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**2 + 0*b**2 - 11*b**2 - 6*b**2.\nAnswer: -13*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36164 + 115?\nAnswer: 36312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15.79 - -14.4. Let j = 0.09 + h. Let p = j + 0.3. Which is the second biggest value? (a) 2 (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 7*d + 8. Let x be j(4). Let h be (1 + x)\/((-3)\/16). Suppose 4 - h = -4*w. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-280)\/(-6) + (-4)\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(70\/8))\/((39\/130)\/3).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.163 and -0.03612841406.\nAnswer: -0.19912841406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -37 + 109267032\nAnswer: 109266995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19739.4 micrograms in nanograms?\nAnswer: 19739400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -15 - 938\/(-686)*7\nAnswer: -38\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 4, 0, -4, 11144, 1, -5 in increasing order.\nAnswer: -5, -4, 0, 1, 4, 7, 11144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 - -87. Is h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 36*d - 328. Let n be o(9). Let l = 11 - 7. Let m(v) = v**2 - 4*v + 3. Let c be m(l). Sort c, -5, n in ascending order.\nAnswer: -5, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 435964.82701973 + -435347.82703. Let x = m - 617. What is x rounded to 7 dps?\nAnswer: -0.0000103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 1307*q - 4. Let f be (0 + -1)\/(3\/(-6)). Let c be j(f). Suppose -t = v - 526, -t + c = 5*v - 0*t. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 74 = -l. Suppose -l = -3*w + 58. Is w a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 33. Suppose 0 = 3*o - 6*o + 12. Suppose 2 = -a - c, 9 = a - o*a - 4*c. What is the remainder when q is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198202 is divided by 48812?\nAnswer: 2954","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 785 is divided by 31.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.11 in 1, -2\/9, 0, -7, 10, 197?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179665 is divided by 22455.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, p: 4, i: 5}. Give prob of sequence pggp.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -9. Solve 2 + 18 = -f*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 8:27 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -43078 rounded to the nearest one hundred?\nAnswer: -43100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 4*g + 13, 36*g - 39*g - 6 = -3*l. Let j(n) = -1349*n + 2 + 1349*n + l*n**2. Let u(p) = -16*p**2 - 7. Calculate 7*j(f) + 2*u(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7778 - 5050. List the prime factors of n.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 8:21 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64627694?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 23 + 3 = 0. Let p(v) be the third derivative of v**4\/6 - 5*v**3\/6 - 399*v**2. Determine p(f).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30672 - -23452. Which is greater: -3 or y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85493534.66 rounded to the nearest ten thousand?\nAnswer: -85490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -147 < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**5\/15 - 472*v**4\/3 - 19048*v**3\/15 + 3168*v**2 = 0?\nAnswer: -10, 0, 2, 1188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 7*o**2 + 9*o + 3. Let f be u(-4). Suppose -111 + f = -3*x. Is x - 1\/(-2)*-1*4 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10642523*a**5 - 56*a**2 - 1905*a + 1 wrt a.\nAnswer: -638551380*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -311603\/19880 + 1140\/71. Calculate the common denominator of y and 79\/651.\nAnswer: 26040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -73\/8 - -131\/8. Calculate the common denominator of s and -8\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4237.009 and 13.\nAnswer: 55081.117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 144*u - 140*u - 29 + 41 + 19. Calculate r(-17).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 62\/97?\nAnswer: 62\/97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -1. Let w(f) = -s + 1 + 0 + 0. Let d(n) = 3*n - 2*n - 3*n + 8. Calculate d(c) + 6*w(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-66)*(-63)\/105*5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -45351 and -45418 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 0 + 25*s**3.\nAnswer: 25*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.29 + 4.29. What is the nearest to -3\/4 in f, -2, 7, 1\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 324417016 divided by -154.\nAnswer: -2106604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5685*j - 1883*j - 1 - 1894*j - 1881*j.\nAnswer: 27*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d**3 - 50*d**2 + 20*d + 23. Determine a(-17).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1319, -4, 3, 10, -3 in ascending order.\nAnswer: -1319, -4, -3, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**3\/3 - 77156*q**2\/3 = 0?\nAnswer: -77156, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7.0492? (a) -0.4 (b) -0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -5*u**4 - 3*u**3 + 7*u**2. Let c(s) = 4*s**3 - 7*s**2 - 6 + 5*s**4 + 6. Let j(z) = 3*c(z) + 4*k(z). Find the third derivative of j(p) wrt p.\nAnswer: -120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 12 - (2 + 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (147 - -2)\/((-103)\/(-1957)) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttehhhhteththcttthh. What is prob of picking 4 t?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g*g*((g*g\/g**(-1\/2))\/g)\/g*g)))**(4\/3)*g**(1\/4)*g*g*g**(-5) assuming g is positive.\nAnswer: g**(23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*f + 22*f - 133*f = -1602 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60495813*r**2 + 29772592*r - 3.\nAnswer: 120991626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**3 + 41*w**3 + 4*w**3.\nAnswer: 46*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.9 + 5.9. Let u = 500.400024 - 504.4. Let l = y + u. Round l to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 170 and 1090?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lrllrrdld. What is prob of sequence ddrl?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 56.331556 - -0.169\nAnswer: 56.500556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/47)*t*t\/((t\/t**(-5)*t)\/t)*t assuming t is positive.\nAnswer: t**(-143\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a + 4*a + 2*a + (-8 + 6 - 2)*(2*a + a - 4*a) - 50 - 42*a + 55 + 12*a.\nAnswer: -24*a + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**4 + 112*k**3 + 432*k**2 + 322*k. Let c(t) = 2*t**4 + 112*t**3 + 430*t**2 + 320*t. Let i(y) = -5*c(y) + 4*j(y). Find w such that i(w) = 0.\nAnswer: -52, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1025*h**2*s**6 + 715*h**2 - 2*s**2 wrt s.\nAnswer: 123000*h**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**6\/i*(((i*i**4\/i)\/i)\/i)\/i)\/((i*i**(-1\/2))\/((i*i*i\/(i\/(i*i\/(i\/((i**(4\/7)*i)\/i))))*i)\/i)))**40 assuming i is positive.\nAnswer: i**(2540\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2835*d - 19*d**2 + 2642*d + 195*d.\nAnswer: -19*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u - 3*u + 0*u. Let y(b) be the first derivative of 30 + 0*b - 10\/3*b**3 + 0*b**2. Determine y(c(v)).\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4583229?\nAnswer: 3, 7, 218249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1123023241 (base 5) to base 2\nAnswer: -1001101110001101011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - 5*c + 2*c**2)*(-7*c - 23 + 23) - c**2 + c**2 - c**3 - 1.\nAnswer: -15*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009186346 to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2320 (base 6) to base 11\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3105 by 621.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (8*(-135)\/450)\/(3\/115)\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1350, 3749, 6468, 9507, 12866?\nAnswer: 16545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3 - 3354\/(-12) - (-2)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 605120000 to the nearest one hundred thousand.\nAnswer: 605100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 52327171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -7*o**6\/6 - 3*o**5\/20 + 101*o**2\/2 + 20*o - 4. Differentiate i(z) with respect to z.\nAnswer: -140*z**3 - 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0*r = 2*d - 55, -2*d + r + 45 = 0. Let g be (-8)\/3*(-3)\/2. Suppose 42 + 14 = g*x. Calculate the remainder when d is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -4*f + 335, -3*r + 9 = -3*f - 219. What is the remainder when r is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*s + 53 = 0, -2*s - s = 15. Let l = -16 + c. Sort -2, l, -3 in ascending order.\nAnswer: l, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 5) in base 6?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 + 11. Let c = y - -8. Let p be -2*c\/8*5. Solve 2*q = p*i - 4, -4*i - 4*q + 2*q = -14 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2376*k**2. Let n(u) = -u**2. What is n(h(x))?\nAnswer: -5645376*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -600b (base 13) in base 11?\nAnswer: -9a04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 2. Let z be r(-5). Let q(s) = 4*s**2 + 3*s - 4. Calculate q(z).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = 6*g - 64 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/87, -5, 123 in decreasing order.\nAnswer: 123, 1\/87, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-nine halves of a litre?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1444b (base 16) in base 10?\nAnswer: -83019","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 12) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1184 and 1261552.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.2065798 rounded to one dp?\nAnswer: 73.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 700 divided by 3.\nAnswer: 700\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h\/(h*h**(-2))))**(-34\/7)*(h**(3\/10))**(-4\/19) assuming h is positive.\nAnswer: h**(-6\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of j**4\/4 + j**3\/6 + 2*j. Let i be y(-1). Solve 3*c + 3*n = -3, -c + i*n - 7 = 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.073 (b) -1 (c) 83\/8 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 5*f = -40, -3*f + 17 + 17 = 5*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/6, -0.18, 6, -5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 836*q - 6431 - 14316 = 2661 for q.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 4914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/3)\/(83\/1743)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**3 + i**2 + 10*i - 12. Let w be v(4). Let t = 558 - w. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(y - 3*y - y)*(15*y + 28*y**2 - 15*y).\nAnswer: 168*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8813*s**3 - 885*s**2 - 3*s + 2?\nAnswer: 52878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*k - 24 = -4*i, -k - 1 = 2*i. Suppose 5*d + 16 = 4*w, -5*d + w - 12 = -i*w. Suppose 0 = 2*n + n - 24. Solve d = z + 3*z - n for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 7*m + 2 = -2*m, 3*x + 3*m = 66. Suppose 87 = -5*n - 23. Let i = n + x. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61160 divided by 1529\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176559*p**3 - 89231*p**3 - 87307*p**3.\nAnswer: 21*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.5 + -2.511. Which is smaller: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 502364 is divided by 96.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 100662.054 to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/6524 and -117\/5180.\nAnswer: 1206940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3009*i*u**4 + 253*i*u - 7*i - u**4 wrt u.\nAnswer: -36108*i*u**2 - 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/3*(30\/(-9) + 6). Let n(l) = -2*l**2 - 21*l - 14. Let w be n(-10). Which is the third biggest value? (a) r (b) w (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 7:14 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 6. Let x = d - 2. Let q = 10846 + -10845.6. Which is the closest to 1? (a) -4\/7 (b) q (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 15 + (-2 - -8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 9) to base 4.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 26066, -4, 190, -1, -3 in ascending order.\nAnswer: -4, -3, -1, 190, 26066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 20 = -7*m. Let t(a) = 10*a - m + 16 - 12. Calculate t(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3940143098?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 32784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 less than 520761?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9689.06 + -9578. Let o = f - 112. What is the third biggest value in 0.3, 3, o, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11558 + 11526. Which is smaller: 0.028 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18010963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*w + 20*w - 21 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60570267 to the nearest integer?\nAnswer: 7783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 11) to base 16.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 79889 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5 + -5*((1*sqrt(1377)*-3 - sqrt(1377))**2 + 3)) + 2 + -5.\nAnswer: -440723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 26 = 2*p - 5*r, -4*r = -2*p + 18. Let y = p - 9. Is y < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of b**5\/20 + 3*b**4\/2 - 19*b**3\/6 - b**2 - 72*b - 42. Let c(m) be the first derivative of a(m). Calculate c(-19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t + 12. Let b be c(10). Suppose u - 6 = 3*u - 4*r, -b*u + 22 = 3*r. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 788 = -22*b + 26*b. What are the prime factors of b?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40*u + 48*u + u**2 - 3 - 177*u + 48*u wrt u.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**0)\/k**(2\/11))**(-14) assuming k is positive.\nAnswer: k**(-126\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 942\/24021*(11\/(-2) - -1)?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29.99999971 - -30. What is w rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21466, 44180, 66894?\nAnswer: 89608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**2. Let o(a) = a**2 + 5*a. Let c(v) = 2*v**2 + 7*v. Let m(w) = 5*c(w) - 7*o(w). What is m(n(k))?\nAnswer: 27*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -515*n + 8058 = 848 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - n + 2*n**2)*(29*n**3 - 11*n**2 + 11*n**2) + (383 - 383 + 38*n**2)*(0*n**3 + 2*n**3 - 4*n**3).\nAnswer: -18*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 14*w - 10. Let f be s(13). Suppose -5*u - 51 = -f*t, 0*t + 5*u = -3*t + 51. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 3*g - 2*g)*(-3*g**2 - 2 + 2) - 8*g**3 - 11*g**3 - 13*g**3.\nAnswer: -26*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 10:09 PM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d = -146 - 64. Suppose 5*z - 5*s = d, z + s = 3*z - 9. Suppose 15*a = z*a + 9. Which is smaller: -4\/17 or a?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2275233 rounded to the nearest one hundred thousand?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1977 = 18*g + 1173. Let m = g - -179. Let f(o) = 3*o**2 + o. Let z be f(-2). Solve -c - z = -0*c - m*u, c + 3*u - 11 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 56821064\/9 or 6313453?\nAnswer: 6313453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 11:01 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 546\/728*(-1)\/(-3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*b**3 - 77*b**3 + 41*b**3.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/(-9))\/(9 - 6). Factor 4\/19 + 6\/19*i + m*i**2 - 2\/19*i**3.\nAnswer: -2*(i - 2)*(i + 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1926326 and -55.643.\nAnswer: 1926270.357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - z + 1 + 0*z)*(-z + 4*z**2 + 4*z - 2*z**2).\nAnswer: -2*z**3 - z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103813652 is divided by 51906821?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**3 - 44*z**2 - 189*z + 14. Give d(-13).\nAnswer: -571","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5148 and 858?\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 73 and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11361 is divided by 48.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/(-10) - (-6)\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 12:35 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1729501 + -1181428. Suppose -6*o = 216927 + j. Round o to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 49*r + 3. Let m be b(-49). Solve -k - m = -a, 19*a + 5 = 14*a + k for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((5 + sqrt(68)\/sqrt(4) + 3)*-4 + 4).\nAnswer: -168 - 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09 - -0.17.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/(-42))\/(51\/(-204)))\/((-4575)\/106750)?\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1217617 divided by -16\nAnswer: -1217617\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 448.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 220 and 8900?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 428767545 to the power of 1\/2, to the nearest integer?\nAnswer: 20707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4*t = 20, 19*t = 14*t - 15. Sort f, 1, 20, 3.\nAnswer: f, 1, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*j - 4*v, -3*j + 4*v + 2 = -5*j. Solve 27 = -4*q + 2*d + j*d, 0 = 3*q + d + 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 401296.\nAnswer: 2, 7, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-8))\/((-8)\/32)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of 0*n**3 + 0*n + 1\/12*n**4 + 10*n**2 + 0. Calculate u(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**2 + 29*k - 15*k - 15*k**2 - 14*k.\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206027.\nAnswer: 206027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**3 + 5*u**2 - 3*u**2 + u - 1 + u + (3*u**3 - 6*u**3 + 2*u**3)*(-4 + 6 - 3) as r + f*u + l*u**3 + t*u**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4 + 6 - 6 + 0 + 5 + (-2 - 3 + 3)*(2 - 1 - 3) + 4 - 3 + 0 + 2 - 2 + 2 - 1 - 3 + 3 - 1 + 1 + 2)*(h - 2*h + 3*h).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 6914019236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1. Let d be 32\/5 - 6\/(-75)*-5. Let l = d - 8. Sort q, -1, l in descending order.\nAnswer: q, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 903763 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 0.26, 1\/3, -0.4, 19?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 617259 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.337 - -26.387. Let f = x - 26. What is the third biggest value in f, -2\/9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 - 26. Suppose -15*l = -20*l + 520. Let i = 174 - l. What is the remainder when i is divided by q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -69 + 222*g + 129 - 60 in the form a + x*g and give x.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -127\/3 - -42. Let v = -3989 + 3986. Which is the closest to 0.3? (a) v (b) 2\/7 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**3 - 2*d + 1. Let m be w(1). Let q = -5 - m. Put 0, -0.2, q in descending order.\nAnswer: 0, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -5, -421349 in descending order.\nAnswer: 2, -3, -5, -421349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*t - 52*t - 22*t to the form i*t + b and give i.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -332 + 0?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -109184970*t**4 + 46416265*t.\nAnswer: -1310219640*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -225 + 242. Is a at least -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 4:13 PM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 35*j**2 - j - 28. Let g be m(-35). Let p(t) be the second derivative of -t**3\/2 + 5*t**2 + 27*t. Calculate p(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1d42 + -d1?\nAnswer: -1e13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -m + 25, 5*q - 2*m = -13 + 40. Let x(k) = 6 + k**2 - 5 - 3*k + 2 - 5. Let r be x(q). Calculate the greatest common divisor of r and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3*(d\/(d**(-3\/2)\/d))\/d)\/(d**0*(d*d\/(d*d**(7\/2)))\/d)*((d\/(d**(-6)\/d))\/d**(-11))**(-32) assuming d is positive.\nAnswer: d**(-599)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -4*c - 3*w, -c - 11 = 5*w + 1. Solve -3*z + 4*g + 16 = -z, -3*z + c = -3*g for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 338113490.\nAnswer: 2, 5, 11, 13, 67, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + -5. What is the units digit of 15\/2*h\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 5 + sqrt(208) + -2 + sqrt(208) - (1*sqrt(208) + -5 - (-3 + 2*sqrt(208))))**2.\nAnswer: 192*sqrt(13) + 1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 195?\nAnswer: 97.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + ((1 + sqrt(567))**2 - sqrt(567)) - (4 + sqrt(21)\/sqrt(3)).\nAnswer: 9*sqrt(7) + 564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, r: 1, f: 1}. What is prob of picking 1 f and 1 r?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l. Let g = 4 + -1. Suppose -8*p + 13 = -g. Let n(k) = 1 + 9*k**p + 4*k**2 - 7 + 5. Give o(n(x)).\nAnswer: 13*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*h**2*s**3 + 2*h**2 - 760*h*s**3 - 137 wrt s.\nAnswer: -9*h**2*s**2 - 2280*h*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 1, 8 in descending order.\nAnswer: 8, 1, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24242.182 - -24019.6. Round d to zero dps.\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert aa86 (base 14) to base 3.\nAnswer: 1111111021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -6*p + 1. Suppose 2*k - 6 = 2*y, -2*k - 1 + 3 = -y. Let c(x) = x. Let m(t) = k*j(t) - 5*c(t). What is the derivative of m(i) wrt i?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (532\/48*483\/1127)\/19?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 4*c + 1888, 4*p + 60*c = 57*c + 7590. List the prime factors of p.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 71*m + 27.\nAnswer: 71*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 2. Let r(z) = -z**3 + z - 1. Let h be r(v). Let k = 3\/644 - 2633\/12236. Do h and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + o - 3968 = 6149, 5*o + 10081 = v. List the prime factors of v.\nAnswer: 10111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 f when four letters picked without replacement from ugggguxguggfuufguux?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d60da - 59?\nAnswer: d6081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*11\/(-297)*-9*(-171)\/12.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.1 + -0.5. Let t = 0.4 - w. Let k = 0.23 + -0.03. Which is smaller: k or t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vqvq when four letters picked without replacement from vqcukqvc.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 3)*(1300 + 1000 - 2002)*(6 + 2*n - 4*n + 0).\nAnswer: 596*n - 1788","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -42 + 3*r - 11 - 21. Let k be c(22). Let i be (21 - 0)*k\/(-12)*2. Calculate the greatest common divisor of i and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-49 + 53 - 6\/4)\/(20\/8). Is -1 at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 4)*(-2*w**3 + 2*w**4 + 4*w**3 - w**4).\nAnswer: w**4 + 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53740.\nAnswer: 2, 5, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/15844 and 89\/8?\nAnswer: 31688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2284416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5*q - 12, 16*m + 2*q = 20*m - 12. Sort m, 10, 3.\nAnswer: m, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 15*k**2 - 17*k - 20. Let j be x(-16). Which is the closest to -0.1? (a) j (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*i**2 - 2179 - 25*i**4 - 6*i**6 + 2920 + 143*i**4 wrt i.\nAnswer: -720*i**3 + 2832*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 0.071, 1, -2, 0, 1\/15 in ascending order.\nAnswer: -2, -1\/5, 0, 1\/15, 0.071, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 18\/4*(-5)\/((-135)\/(-18))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 1293*n - 47743. What is b(37)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 7:29 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z*z**(3\/4))*z)**(-9\/8)\/((z*z*z**(1\/4)*z*z)\/(z**(-22)\/z)) assuming z is positive.\nAnswer: z**(-917\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 - 49. Let q(t) = 10*t**2 + t - 1. Let d be q(-2). Let c = i + d. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 21 = -8*i. Let t(u) = -u**3 + 7*u**2 - 14*u + 20. Let m be t(i). Solve b = m - 15 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, -3\/7, -9, 4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = 3*b - 14. Suppose 45*o - 168 = b*o. Suppose -38*i + o*i - 28 = 0. Put i, 2, -5 in increasing order.\nAnswer: -5, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1540 = -28*i + 42*i. Does 55 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*f - 1 + (1 + 0 + 2)*(-f + f - 3*f)*(3 - 2 - 2))*(f + 3*f**2 - f + (f + 0*f - 3*f)*(-2*f - 2 + 2)).\nAnswer: 84*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/10 + 69\/(-45).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6136 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 + 40 = 17*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 2 - 2)*(i**4 + 14*i**4 + 2*i**4) + 10*i**5 + 5*i**5 + 0*i**5.\nAnswer: -2*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/9 (b) -2\/13 (c) 314 (d) -0.1 (e) 21 (f) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -a - 8*w + 8*w - w, -5*w - 249 = 12*a for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*l - 1, 61 = 4*y + l - 2*l. Let s be y\/2*3\/12. Solve -s*b = 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/4234987 or -1?\nAnswer: 2\/4234987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 814 and 3180298.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -150344 * 0.02\nAnswer: -3006.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j - c + 16 = 0, -69*j + 5*c = -67*j - 8 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(24)\/(sqrt(6)*3)).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53 + 101. Let k be 2 + (-12)\/8 - 6\/(-4). Calculate the remainder when x is divided by k\/(-7) + (2325\/35)\/5.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13416122 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15249821*n**2 - 7*n + 1413759 wrt n.\nAnswer: 30499642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 19\/(4 - (-14)\/(-4)). Let h = c + -8. Find n such that h*n**2 - 2 - 16*n**2 - 15*n**2 + 3*n = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -91*p - 3763*p**2 + 7522*p**2 + 3 - 3760*p**2 as z*p**2 + c + b*p and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 117 = 99. Let o = -58 - i. Let p(z) = -z**3 - 4*z**2 - 1. Give p(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 281 - 311. Let r = -25 - s. Let x(n) = -35*n**3 - n**2 - 2*n - 1. Let m be x(-1). What is the highest common divisor of r and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 11*b - 50. Let d(c) = 2*c + 1. Let g(q) = -d(q) - n(q). Determine g(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 3:44 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26*l**4 - 4014 + 8504*l**4 + 12719 wrt l.\nAnswer: 33912*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 16 = -d. Let x = d - 6. Let -4*l - 2*l**2 + 0*l**2 + x*l = 0. Calculate l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 2*s + 1. Let r be p(4). Suppose 4*n + 5 = r*n. What are the prime factors of -11*((-2)\/2)\/n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -298 - -241. What is the closest to 1\/3 in 2\/7, q, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 76 = -79. Let n = 35 - c. Suppose o - 367 = -n*k, 3*k + 4*o - 209 - 63 = 0. What are the prime factors of k?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 4:35 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -138.6 + 139.1. Sort s, 9.3, 5 in ascending order.\nAnswer: s, 5, 9.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*5*(sqrt(405) + 1)*2)**2 - (2 + 1 + sqrt(405) + 0 + -3)**2.\nAnswer: 1800*sqrt(5) + 40195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*m - 10*m - 260. Let h = -115 - m. What is the highest common divisor of h and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - (31 + (22 - 36)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of 0*a**4 + 0 - 1\/60*a**5 - 77\/3*a**3 - 2*a**2 + 44*a + 101\/120*a**6. Differentiate y(q) wrt q.\nAnswer: 303*q**2 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1992 - 96?\nAnswer: 1896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 10*a**2 + 7*a + 24. Is k(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -758 + 788. What is the greatest common divisor of n and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d**2 + 214*d + 111. Let j be g(54). What is the nearest to -1\/4 in -0.8, j, 2, 4?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 108417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 - -30.9999958. What is m rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - -2*5*67\/134. Solve 0 = -5*w - 2*d - 8, -96*d + 100*d + 16 = -z*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15.7 + -18.2. Let o = -2.9 - q. Which is the fourth smallest value? (a) o (b) -5 (c) 8 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -668c7 (base 16) to base 4.\nAnswer: -1212203013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2218532143?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 - -11?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o**3 - o**2 - 6*o + 5. Let q be c(-5). Let s = 868 - q. Suppose 69 = 2*n - n + 3*a, 5*n - s = -2*a. Is 24 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5310?\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*s + 20 = 0, s + 4*s = -2*n + 13. What is the lowest common multiple of n - (4 - (-1 + 95)) and 18\/3 + (-79)\/(-316) + 34\/(-8)?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 282746244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 11*h**4 - 3*h**3 - 12*h**2 + 4*h - 12. Let l(i) = -10*i**4 + 2*i**3 + 12*i**2 - 4*i + 10. Let n(z) = -6*l(z) - 5*m(z). Find d such that n(d) = 0.\nAnswer: -2, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.08152 (b) 3 (c) 5 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 39927, 40180, 40445, 40728, 41035, 41372, 41745?\n\"Answer: d**3 + 246*d + 39680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 11*h**2 - 12*h + 4. Let c be a(12). Suppose 0 = -6*r + r, -c*p + 4*r = -8. Solve -p*k = -3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + y + 2*y)*(-6786*y**3 - 35*y**2 + 35*y**2 - 1974*y**3).\nAnswer: -17520*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6476, -12953, -19432, -25913, -32396, -38881?\nAnswer: -45368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -73 less than -168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -16*a - 90. Calculate g(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 38682 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**32)**(-1\/4)\/(n**(-2\/23)\/(n**(-38)\/n)) assuming n is positive.\nAnswer: n**(-1079\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34069\/11790 - 1\/1310. Let h be (-2 - 2 - -3)*60. Find the common denominator of n and (292\/h)\/((-12)\/20).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 4*g**2 - 3. Let b(j) = -17*j**2 + 13. Let c(q) = -6*b(q) - 26*x(q). Let l(z) = -4*z**2 - z**2 + 4*z**2. Calculate l(c(f)).\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100415 and 48622?\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 53*m**2. Let h(n) = -n + 40. What is h(l(w))?\nAnswer: -53*w**2 + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = -5*a + 4*d, 3*a + 46 = a + 4*d. Let v = -19 - a. What is the highest common factor of 2 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2 + 21*z - 10. Let d be x(10). Suppose -l - o = -4, 2*o = -d*l - l. Suppose 6*n = l*n. Let p(k) = k**3 + k + 19. Determine p(n).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -4, -8, 20264, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 5 = 4*j + a, 0 = 4*j - 4*a + 8 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = 22*c - 63 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 87 + 27 = 0. Let r(x) = 0*x + 7 + 5*x - 2*x - 4*x. Let h be r(3). Solve 0 = h*m - t, 0 - 9 = 4*n - 3*m for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**2\/3 - 8196*r + 25190406 = 0. Calculate r.\nAnswer: 6147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2212542 and -0.4.\nAnswer: 2212541.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 300.7 - 301. Let i = 0 - -1. Which is the nearest to i? (a) -1\/2 (b) t (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -682623 * -212\nAnswer: 144716076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -5 and -54 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 503543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 334070 = -5*f, 417604 = 5*b - 4*f + 2*f. Suppose 11*q - b = -q. What is q rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -23918, -23914, -23910, -23906?\n\"Answer: 4*q - 23922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -23, -45, -81, -131, -195, -273, -365?\n\"Answer: -7*d**2 - d - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 22786*a - 468. Let i be u(38). What is i rounded to the nearest ten thousand?\nAnswer: 870000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 458 + -80c3d?\nAnswer: -807c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -101443220 (base 6) in base 2?\nAnswer: -110101110011111011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3a6 + -32?\nAnswer: -408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.4, 1.04, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004626618 to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -b + 4. Solve -b = u, 5*u - 1 = -c - 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 89\nAnswer: 5\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -322 = 4*d - 41*d + 48. Let v(s) be the first derivative of -2*s**3\/3 + 21*s**2\/2 - 12*s - 2. What is v(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t**2 + 2*t**2 - t**2)*(t**2 - 3*t**2 + 0*t**2) + 0 - 2*t**4 + 0 - 40 + 33 - 4*t**4 + 74*t**4 to o*t**4 + m*t + d*t**3 + p*t**2 + s and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kq when two letters picked without replacement from {m: 1, q: 1, o: 2, s: 1, p: 2, k: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 5 + 4*x - 11 + 11 - x - 3*x + 4*x + 6*x + (3 + x - 3)*(-2 - 2 + 6) + 8*x + 26 - 26 as s + d*x and give d.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 157, 156, 155, 154?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 + 28*n + 14. Calculate y(-12).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00528847 rounded to 4 decimal places?\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4022 divided by 107679.\nAnswer: 4022\/107679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 5*v - 1 - 1 - 7*v + 6*v + 8*v + (4*v - 7*v + 0*v)*(0 + 4 - 2) + 0*v - v - v.\nAnswer: -6*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1\/((i*i**(-3))\/i))\/(i**(-2\/5)\/(i**1\/i)) assuming i is positive.\nAnswer: i**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 8*h + 659. List the prime factors of r(0).\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r + 2*r + 5*r**4 + (-2*r**2 + 2*r**2 + 4*r**3)*(0*r - 2*r + 4*r) + 1 - 1 - r**4.\nAnswer: 12*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -706 - 372 = 17*x - 1639 for x.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*g + 6*g + 3*g)*(-1 + 3 + 0 + 1 - 3 + 1 - 2 + 3 - 3 + (1 - 1 - 2)*(-4 - 2 + 4) + 0 - 2 + 1 + 0 + 4 - 2) to the form d*g + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 6*w - 5. Let h be x(6). Suppose 0*f - 5*f + 45 = 0. Let j = f - h. Does 14 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2 (b) -2\/321 (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**5\/60 + 5*n**4\/24 - 2*n**3\/3 + n**2. Let s be g(4). Suppose 5*u + s*h = 3*h + 122, 4*h = 4. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*b - 3*q - 5, -2*b - 31 = 5*q. Let j be (-4)\/1*b\/6. List the prime factors of (-1)\/2*-19*j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 27245582, 27245594, 27245606, 27245618, 27245630?\n\"Answer: 12*d + 27245570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 549 is divided by 63.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-0.31.\nAnswer: -1.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -18. Suppose -z + 3*g + 2 = u*g, -3*g - 1 = 4*z. Is -3\/8 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*y - 82*y - 245 = 13. Solve y = -13*w + 77 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5176 + -0.05?\nAnswer: -5176.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 - 65. Let u be 20\/(p - -4) - -15. Sort -4, 3, u in increasing order.\nAnswer: -4, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**4\/7 + 2936*p**3\/7 - 415636*p**2\/7 - 45185040*p\/7 - 947408400\/7.\nAnswer: -4*(p - 405)**2*(p + 38)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 11) to base 16\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 15 + (3 - 9) + -3 + -1?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 3*u - 4. Suppose 6*t - u*t = 36. Suppose t = 4*i - 67. What is the remainder when 73 is divided by i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -82\/1102565?\nAnswer: -82\/1102565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14976)\/4576*8\/(-12).\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2\/6 - 20*k\/3 - 40\/3.\nAnswer: -5*(k + 4)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, n: 1, h: 1, q: 3, w: 1}. What is prob of sequence mqq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 15, 0 = 2*n + 3*a - 140 - 353. Let o = n - 779. Round o to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -1) + 0 + (-68 - -66)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -9*i**5\/20 + i**4\/2 + 601*i**3 - 2*i**2 - 473*i. Find the first derivative of v(l) wrt l.\nAnswer: -54*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 195 and 1058031?\nAnswer: 5290155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2. Let f(r) = r**3 + r**2 + r + 6. Let k(u) = -u**3 - 2*u**2. Let m be k(-2). Let c be f(m). Let j(s) = -2*s**2. What is c*n(l) - 4*j(l)?\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z**3 - 7*z**2 - z + 9. What is k(-4)?\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35814376 and 564?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 49\/(-7) + (0 - -2). Let r(d) = -5*d**5 + 3*d**3 + 2*d**2 + 2*d. Let m(l) = -11*l**5 + 6*l**3 + 5*l**2 + 5*l. Let v(h) = b*r(h) + 2*m(h). Factor v(k).\nAnswer: 3*k**3*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(209) + sqrt(209)*5)*5*-5)\/(5*sqrt(33)\/sqrt(3) + sqrt(11) + sqrt(176)))**2.\nAnswer: 4275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 242250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(245)*1 - (-2*-1*sqrt(245))**2 - (4 + -4*(2*sqrt(245))**2).\nAnswer: 7*sqrt(5) + 2938","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69 and 11125767?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**4 - 271*d**3 + 189*d**2 + 639*d + 182 = 0.\nAnswer: -91, -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 1024 = -2*l + 2*s, 4*l - 839 = 5*s. Suppose -211*x + 525 = -l*x. Is x a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81032906 divided by -202?\nAnswer: -401153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 - -2 - (-1 + -2) - (347 - 357)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2887489 to the power of 1\/2, to the nearest integer?\nAnswer: 1699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -112 - -453\/4. Which is the biggest value? (a) 0 (b) z (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5152067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**3\/((v*v**(3\/7))\/v)*v**(2\/5)\/v**(4\/9) assuming v is positive.\nAnswer: v**(796\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-6))\/((-8)\/(-48)). Let x = 3461\/2 - 1763. Calculate the common denominator of x and (-33)\/(-15)*10\/w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-968)\/66)\/44)\/((-2)\/(-42)*-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m**2\/7 - 24*m + 990\/7 = 0. Calculate m.\nAnswer: -33, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**15*q**(1\/42) assuming q is positive.\nAnswer: q**(631\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-2)*(-33)\/(-9). Let o = d - 30. What is o rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0062096 rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 6 = -2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18315312 - 6?\nAnswer: 18315306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/42*413\/(-944).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59291 (base 11) to base 14.\nAnswer: 23250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -6. Suppose -g + 5*g - 27 = -5*w, 3*w - 4*g + 3 = 0. Sort a, w, -7.\nAnswer: -7, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.195 + -0.1657?\nAnswer: -3.3607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(-2)*(0 + -2). Suppose 3 = 4*p - 25. Calculate the greatest common factor of p and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) + -1*sqrt(33))*-1)\/sqrt(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + (-174 - -290) + 2 + 3.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -3803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -18, 1\/2, 0.4, -0.5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1983.\nAnswer: 3, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -345*d**2 - 6*d + 3. Let m be h(3). What is m rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 24 = -39*j + 34*j, 2*j = -2*i. What is the nearest to 3 in -3\/7, i, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.231555 litres?\nAnswer: 4231.555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 2:58 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 + 2*j**2 - 3*j**2)*((4*j**2 + j**2 - 6*j**2)*(j + j - j) + j**3 - j**3 + 2*j**3 - 2*j**3 + 0*j**3 + 4*j**3 + j**3 + j**3 - 4*j**3).\nAnswer: j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = 5*n - 3*f, -3*n + 4*f + 0 = -76. Let w = -21 + n. Let l = 18 + -7. What is the smallest common multiple of w and l?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19179000 to the nearest 1000000.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4835792 rounded to three decimal places?\nAnswer: 0.484","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 6)*(-6 + 1 + 3)*(-p + 2*p + 4*p) - 3*p + 2*p + 12*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 56305 + -1 + 355\/(-71) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f - 51. Let u be b(-17). Put 126, -5, u in ascending order.\nAnswer: -5, u, 126","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(130) + (sqrt(130) - 1*sqrt(130))))\/sqrt(10)*4.\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1305004 - -923106. Let i be t\/(-3) + 20\/30. What is i rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103341 - -101?\nAnswer: -103240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00038314902 rounded to five decimal places?\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1293454 and 716.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/((d\/(((d**(-1)*d)\/d)\/d)*d)\/d)*(d\/d**6)\/d*(d\/(d**(1\/4)\/d))**(-2\/27)*((d\/(d\/(d\/(((d**(-1)\/d*d)\/d)\/d))))**(10\/7))**22 assuming d is positive.\nAnswer: d**(44447\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -269 + 277. Suppose q - 5481 = -h*q. List the prime factors of q.\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 10, 0*o - 2*o + 232 = -x. Let m = o - -51. Which is greater: m or 169?\nAnswer: 169","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-74)\/148)\/(1\/(-6)). Solve 18 = -2*k - t*c, -k + 21 = -4*k - 3*c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200770337281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7*-405.\nAnswer: -283.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 10*n - 2*n. Suppose 4*b = 5*c - 659, -3*c - n*b = -7*b - 388. List the prime factors of c.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.023 or -103?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -p**4\/12 - 3*p. Let i(l) = l - 5. Let k(z) = -z + 7. Let s(j) = 7*i(j) + 5*k(j). Calculate s(y(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 - -51. Suppose 3*y - 42 = -3*r, 6*y = 2*y + 5*r + p. What is the greatest common divisor of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 6*u. Let q be x(-6). Let z(i) = -i**3 - i**2 + i + 9. Suppose -4*n = -n - 6. Calculate the lowest common multiple of n and z(q).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of s**8\/112 + 6*s**7\/35 + 9*s**6\/8 + 27*s**5\/10 + 7*s**2 + 6. Solve u(g) = 0 for g.\nAnswer: -6, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 4*i**2 - 7*i + 6. Let g(l) = 2*l + 41. Let x be g(-19). Suppose -2*n = -6*n + 8. Suppose -x*z = n*z - 25. Determine h(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 91001.\nAnswer: -182002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1372386.149 to the nearest one thousand.\nAnswer: 1372000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2. Suppose 0 = -3*h + 7 + 26. Let f(g) = h*g + 7*g - 13*g. Calculate f(y(u)).\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9470.43 and 0.09?\nAnswer: 9470.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -1 - (7 - 6) - 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.69508ml?\nAnswer: 0.00569508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10dc583 (base 14) to base 6\nAnswer: -444452315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 928 and 406?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131301 (base 5) to base 14.\nAnswer: 1c77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 n when two letters picked without replacement from nmnnmnmr.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*a = 8*n - 6*n + 16*a + 40, 0 = -5*n + 3*a - 91 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/4 - 109*c**2\/2 - 10961*c\/4 + 25538.\nAnswer: -(c - 8)*(c + 113)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1658.3 + 1658.3. Put -738, -0.1, k in increasing order.\nAnswer: -738, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = i + 4*l, -1674*l = -10*i - 1676*l - 10 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1869 a factor of 12072562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 z when four letters picked without replacement from zzzzzlzlz.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/1962 and -14\/27?\nAnswer: 5886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*m**3 - 554*m - 10*m**3 - 1119*m + 39*m + m**3 to z*m**3 + v*m**2 + q + x*m and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 811 divide 1956943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 17123486?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 533500 to the nearest integer?\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -973.1 and -3.\nAnswer: -976.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-75*u + 64*u - 88*u)*((2 - 5 + 1)*(-2 - 2 + 6) + 1 - 2 + 3) to n + y*u and give y.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9426040?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 4*g + 96, -5*g + 1062*f = 1064*f - 41 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48267340 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17\/4 + 1\/4*z**2 - 4*z.\nAnswer: (z - 17)*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/77, 16.9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7)\/(a**(-7\/5)*a))\/(((a*a\/a**(-2\/3))\/a)\/a*a*a\/a**8) assuming a is positive.\nAnswer: a**(-19\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*z + 6, 3*z + 3 = 2*z - p. Which is the closest to -0.1? (a) 1 (b) 3\/2 (c) -90 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -67 - -240?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 120020 (base 3) in base 7?\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 6, -3.4, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus -6626881?\nAnswer: -6626878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 104 + -190. Suppose 11*j + 64 = -13. Let p be t\/(-7) + 2\/j. What is the greatest common divisor of 108 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*o**6 + 4*o**2 - o**6 - 6*o**2 - 4*o**2 wrt o.\nAnswer: 360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 212 - 26. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q - 3*q - 4*q)*(-2*q**2 - 6*q**2 + 2*q**2)*(-3*q - 3*q + 4*q).\nAnswer: -12*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -20 - 6 + 25 - l - l**2. Let f(m) = 5*m**2 + 6*m + 6. Suppose -2*c + 9 - 33 = -5*k, 0 = -3*c - 4*k - 59. Let x = c - -12. What is x*f(j) - 30*v(j)?\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*q = 3, 2*j - j + 1 = -q. Let t = -168 + 2689\/16. Which is smaller: j or t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74893297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = h - 0*v + 3*v, -2*h + 4*v = 8. Let d = -1 + h. Suppose 2*o = 3*w + 43, 3*o - d*w - 94 = -2*o. Calculate the highest common factor of o and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 q when four letters picked without replacement from cccqqcccqqqqqqccqcq.\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 6*o**2 - o + 9. Let a be m(6). Suppose -5*j - 20 = 0, a*x - 604 = -x - 2*j. Let l = -109 + x. Does 22 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.295174 rounded to 0 decimal places?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*q - 260 + 140 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3391323579?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 21629 = 5*k - 0*k, -5*d + 12996 = 3*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23292 (base 12) in base 6?\nAnswer: 1001502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 2000 = 5*u, 400 = 3*u - 2*u - 3*n. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -779393*a**2 + 47*a + 60. Let z be o(-5). What is z rounded to the nearest 100000?\nAnswer: -19500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-193 - 271 - 8)*(-2*b**2 - b**5 + 2*b**2 + (-4*b**2 + 4*b**2 - 4*b**4)*(-1 + 1 - b)).\nAnswer: -1416*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2653863.\nAnswer: 3, 19, 46559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u - 5. Let w be p(0). Suppose -1315*y + 3864*y + 214354 = -55840. Which is the third smallest value? (a) 2 (b) w (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 7*d + 3. Let j be f(-6). Let k be 634\/(-120) - 3\/(-9). Let r = k + 21\/5. Which is the closest to -1? (a) 4 (b) r (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1210)\/9317)\/(10\/(-84))?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2297462393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 + 43 = 66*g - 198 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**3 - 2*z + 1. Let k(x) = -4*x**3 - 4*x + 3. What is -2*k(a) + 5*m(a)?\nAnswer: -2*a**3 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8988599?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 7*j. Let x be (-3)\/(3 + j)*-1. Which is greater: x or 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 2*w. Suppose 2*o + m + 187 = w, -5*o = -m + 524 - 46. Let j = o + 98. Solve -j*l + b - 1 = 0, 2*l + 4*b = -0*b - 10 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44630489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -308 - -378. Let y(h) = 23*h + 23*h + 2*h - u*h. Let d(o) be the second derivative of o**4\/12 + 3*o. Give d(y(a)).\nAnswer: 484*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 120931831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from svyyvvsysvsvssy. What is prob of picking 1 s and 2 v?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 759 + -745. Suppose 5*o = -w + 243, -3*w = c*o - 9*o - 759. Calculate the greatest common divisor of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1843.912 rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d + 7 + 0*d + 13 - 18 to v + l*d and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o - 999 + 496 + 498. Let h be p(5). Solve -3*j = 4*d - j - 6, 15 = -h*j for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28153411 to the nearest integer?\nAnswer: 5306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8199170 is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 17. Let p(b) = -48. Let s(u) = -6*p(u) - 17*y(u). Let j(i) = -2*i + 10. Let r(d) = j(d) + 12*s(d). What is r(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 0 = -t, -5*i + t = 22. Let j be 4 + 175\/(-20) - (-1)\/i. Which is the second biggest value? (a) -4 (b) j (c) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 7*k**3 - 2*k - 2. Let m(i) = 67*i**2 - 11*i - 28*i**2 - 11 + 35*i**3 - 12*i**2 - 27*i**2. Calculate 4*m(c) - 22*x(c).\nAnswer: -14*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millimeter in micrometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((138\/(-23))\/(8\/(-4)))\/(3\/15).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -3 + -5 + (17 - 18).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 300? (a) 0.1 (b) -0.15 (c) -902\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/6 + 22\/4. Suppose n - g*n = 0. Is n at least as big as 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -964 != 261400?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 12) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 - 27. Suppose z - 36 = -4*d, 0 = 2*z - 3*d + d - 22. Calculate the greatest common divisor of f and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.080185 and 109.\nAnswer: -117.740165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*n**3 - 34 - 185*n**3 - 12 - 22 - 25 + 95.\nAnswer: -164*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h - 1. Let g(u) be the second derivative of 11*u**3\/6 + 7*u**2\/2 - u. Suppose 10*w = 9*w + 6*w + 170. Let m(a) = w*o(a) - 6*g(a). Give m(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(304))**2*6 + -5.\nAnswer: 1819","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**2 + 30 - 3*z**2 + 15.\nAnswer: -3*z**2 + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/54626 and 115\/16768654.\nAnswer: 2397917522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1371916, -5487688, -12347308, -21950776, -34298092?\nAnswer: -49389256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12036339 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228*x - 237531 - 237535 - 237531 + 950135 - 237538.\nAnswer: 228*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -1946*q. Let c(i) = 467*i. What is c(h(n))?\nAnswer: -908782*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2)*o\/o**(-9)*o assuming o is positive.\nAnswer: o**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8008 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -774770*d**3 - 774773*d**3 + 1549550*d**3.\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 <= 525.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -654 - -141. List the prime factors of g\/(-5 - -2) - -4.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -90, -151, -226, -321, -442?\n\"Answer: -a**3 - a**2 - 51*a - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 - -35264.\nAnswer: 35263.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -1. Let k = -8 + y. What is the third biggest value in -3, k, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 393566*n**2 + 539*n - 539*n.\nAnswer: 393566*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**2 + 2*w**5 - 3*w**2 + (-w + w + 3*w**4)*(w - 4*w + w).\nAnswer: -4*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6898 - 3509. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, q: 2, l: 2, y: 2, n: 2, k: 3}. What is prob of sequence aak?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30737*t - 9269*t - 2 + 4 - 9916*t.\nAnswer: -49922*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 7*w = 0. Solve w = 3*c - 7 + 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, -1\/3, -61, -2, 5, 242\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -2*o - 14, -3*r + 19*o + 18 = 13*o for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1516, 1505, 1480, 1435, 1364, 1261?\nAnswer: 1120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, w: 4, h: 3}. What is prob of sequence wnw?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 4542861.\nAnswer: -18171444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2729 = c - v - 2726, -3*v + 169 = -23*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 5*c + 1. Let d(k) = -2*k - 3. Let u be d(-4). Let h be r(u). Solve n = -2 - h for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of s**4\/4 - s**3\/2 + s**2 + s. Let d be c(2). Suppose -26 = -3*a - d. What is the lowest common multiple of a and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**1\/r))\/r)**(-46)\/((r**(2\/37)\/r)\/(r**(2\/3)*r)) assuming r is positive.\nAnswer: r**(290\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**3 + 90*k**2 + 2*k - 82. What is y(45)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/9 + 6496*p\/3 - 19490\/9.\nAnswer: 2*(p - 1)*(p + 9745)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 405, 406, 407, 408?\n\"Answer: u + 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 54178\/17 in -3, 2\/7, 2\/3, 3, 2\/25?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 1:54 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/5 (b) 0 (c) 8.54 (d) -1510\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 0)\/(-2 - 0). Let n be i + 1 + (-22)\/11. Is n at most as big as -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*m = -139, d - m = -0*d - 77. Let i = d - -95. Calculate the remainder when 58 is divided by i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -3 + (2 - 12) + 18.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 814 divided by -1\nAnswer: -814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = b, 4*j - 25 = b - 33 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and -197172928?\nAnswer: 197172928.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -b23346 (base 12) in base 16?\nAnswer: -2a7c26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 163005286*z**3 + 3978*z + 37092 wrt z?\nAnswer: 978031716*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16544135 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(24)\/(sqrt(72) - (sqrt(72)*4 + sqrt(72))))**2 + -3.\nAnswer: 49\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.34 + 0.44. Which is bigger: 21 or q?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.5, -4\/207, -7, -4\/7?\nAnswer: -4\/207","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - -2) + 1 + 1142\/568. Are d and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6751175059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 (base 12) in base 2?\nAnswer: 1101101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 651\/4*y**2 + 10218313\/4 - 141267\/4*y - 1\/4*y**3.\nAnswer: -(y - 217)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 8 - 23*g + 22*g)*(2*g - 3*g + 2*g).\nAnswer: -g**2 - 23*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/21, -0.4, -481, 116 in increasing order.\nAnswer: -481, -0.4, -1\/21, 4, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 76614765 to the power of 1\/2, to the nearest integer?\nAnswer: 8753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/9 - (-2)\/(-6). Put -35, 2, k in decreasing order.\nAnswer: 2, k, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 12*r**2 - 55*r. Let b be a(-7). Let x(z) = 157*z**2 + 0 - b*z**2 + 0. Let v(f) = -10*f. Give x(v(n)).\nAnswer: 1700*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, o: 6, j: 10}. Give prob of picking 1 n and 2 o.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 - 1\/(32\/40)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/7 - 4\/(-14). Let v(b) = -4*b - 87. Let i be v(-21). Let l be (i - -7 - q) + -3. Which is bigger: l or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24860 + -25565. Put -1\/4, -0.09, r in ascending order.\nAnswer: r, -1\/4, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 290 + 3.63242.\nAnswer: 293.63242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10692a4 (base 13) to base 2\nAnswer: -10011001001001100110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1794515861.\nAnswer: 43, 151, 191, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d*i*j**2 - 56*d*i + 9*d*j**3 - 2*d*j - d + 2*i*j**2 - 13*i*j + 70*j**3 - 2*j wrt j?\nAnswer: 2*d*i + 54*d*j + 4*i + 420*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3497 - 3425. Solve -y*v + 13 = -59*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -53635?\nAnswer: 53636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/(sqrt(16)\/sqrt(4)*-4) + 1 + 3)**2 - (sqrt(132) - (sqrt(132) - 2*sqrt(132)*3))\/((sqrt(12) - (sqrt(12) + sqrt(300) + sqrt(12)))*-6).\nAnswer: -13*sqrt(11)\/6 + 267\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, t: 3, a: 3, c: 4}. Give prob of sequence hh.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**2 - 3*d - 5. Let j(y) = 4*y**2 - 3*y - 6. Let z(x) = 4*j(x) - 5*t(x). What is z(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 6*j - 4. Let g be x(9). Let f = 43 - g. Let m = -12 - -8. Sort m, f, -2 in descending order.\nAnswer: -2, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -14. Factor 0 + 6\/5*s**5 + 0*s**2 - 4\/5*s**3 + 0*s - 2\/5*s**h.\nAnswer: 2*s**3*(s - 1)*(3*s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*u = -0*l - 165, 49 = 2*l + 5*u. Let t = l - 28. Calculate the remainder when (46 - 9) + (2 - 5) is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1168414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 4*s + 3. Let o be h(-3). Suppose o*c + 6 = 3*c. Let t be (0 - c)\/((-90)\/(-27)). Put t, -1, -9 in descending order.\nAnswer: t, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1935365 divided by -387073.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-8)*-10*4\/30?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5*l = -28, 4*o - l + 10 = 7*o. What is the first derivative of 12*n**2 - 7*n**2 - 2*n**3 - 5*n**o + 120 - 12*n**3 wrt n?\nAnswer: -42*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 47*v**2 - 141*v + 145. What is the smallest common multiple of t(50) and 25?\nAnswer: 2975","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**7)**8)**(-21) assuming s is positive.\nAnswer: s**(-1176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -210*l + 15499. Give y(72).\nAnswer: 379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1 + sqrt(2057) + sqrt(2057) + 5 + (-2*sqrt(2057)*-5 - (sqrt(2057) + (sqrt(2057) - (sqrt(2057) + -1)*-1))))**2.\nAnswer: 1386*sqrt(17) + 166666","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**2\/2 + 12583*i\/2 - 106811 = 0. What is i?\nAnswer: 17, 12566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dp when two letters picked without replacement from {d: 1, r: 1, p: 10, f: 1}?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 57545409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 11) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170*t + 1712 = 174*t. Calculate the greatest common factor of 4 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*c**2 + 488*c - 488*c + (7*c - 3*c - 2*c)*(-4*c + 0*c + c))*(-4*c - 2*c + 4*c).\nAnswer: -16*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 4*u**2)*(0*u**3 - 5*u**3 + 2*u**3).\nAnswer: -12*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, k: 18}. Give prob of picking 2 m.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 3*s + 24603, 3*s + 41001 = -2*s + a. Round s to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7046, 14116, 21188, 28262, 35338, 42416, 49496?\n\"Answer: g**2 + 7067*g - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2988\/3735*(-66)\/(-55)*10\/(-3)?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28616220 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005070435 rounded to 6 decimal places?\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + -1)*(-2)\/(-5) - 1. Let z be (-8)\/(-6)*(-1)\/6. Let n = 2.5 + -2.5. What is the nearest to 2 in z, r, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*1*sqrt(65))\/sqrt(5))**2.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.0489 + -0.0489. What is the nearest to m in 64, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1982 or -1983?\nAnswer: -1983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2137 + -38.9937. Round x to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 7*u**2 - 1 - 2*u**2 - 3*u**2 + 2*u. What is the least common multiple of 5 and g(-3)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3216)\/268*1*1\/2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50*n + 11*n - 6*n**2 + 29*n**2 + n**4 + 51*n wrt n.\nAnswer: 12*n**2 + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d + 16?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4*(sqrt(500) - sqrt(500)*-2 - sqrt(500)) + (sqrt(500) + sqrt(500)*-2)*-2)**2.\nAnswer: 50000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/56 + (-18)\/((-8316)\/174)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n. Let a(o) be the first derivative of 2217*o**2\/2 - 509. Determine a(q(p)).\nAnswer: -4434*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + 2*t + 4*y - 282, 0 = -3*t - 3*y + 438. Let j = -106 + t. What is the remainder when 52 is divided by (-8)\/((-24)\/j) - -3?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 257.6 plus -651.3267?\nAnswer: -393.7267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*w**2 - 3*w**2 - 2*w**2 + 3*w**2 + w**2 - 2*w**2 + w**2 - w**2 - w**2 + (2 + 2 - 5)*(0*w**2 - w**2 - w**2) + 2*w**2 + w**2 + 0*w**2.\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.11827*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -221115158*x**3 - 337103*x**2 - x - 22 wrt x?\nAnswer: -1326690948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1215555 (base 7) to base 4\nAnswer: 212000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 957420851.\nAnswer: 227, 4217713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, v: 17}. What is prob of picking 2 r?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + (sqrt(110)*2*-4 + sqrt(110))\/(-5*2*sqrt(10))).\nAnswer: -7*sqrt(11)\/2 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (77*m - 164*m + 59*m)*(1 - 5 + 3) to the form t*m + x and give t.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*f**2 + 48*f**2 + 28*f**2 + 12*f**2.\nAnswer: 68*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6c + -3?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 18. Let z(o) = o**3 - 2*o**2 + 3*o - 4. Suppose -2*m = m - 6. What is the remainder when j is divided by z(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nfm when three letters picked without replacement from {w: 1, m: 5, n: 1, f: 3}?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 432 + -176. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1003 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: Suppose -9*l + 10 = -116. Let m(a) = -a**3 + 15*a**2 - 13*a - 7. What is the lowest common multiple of 18 and m(l)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**3 - 28*z**2 - 31*z + 21. Give r(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 965 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-3 - 2) + -13.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (288\/(-120))\/2*(-100)\/(-15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 - 79 - 19)*(-m + 5*m + 0*m).\nAnswer: -296*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -284*f**2. Let c(a) = a. Determine s(c(k)).\nAnswer: -284*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -302, 3, 1\/5, -7, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 4:23 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, z: 4}. What is prob of sequence zzq?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(-11)*(-40)\/(-30)*252\/48?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/3*(-14)\/(-28)*32\/128.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*p - 84 = 49*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*h**2 - 2 + 2 + 5*h**2.\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 330306 and -0.2?\nAnswer: -66061.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/48 - (-3)\/2. Suppose -3*w + 16 = v, -2 = 2*w - 3*v - 20. Let q = w + -3. Sort -1, z, q in decreasing order.\nAnswer: q, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5*x**2. Let i(j) = -12*j - 10*j + 2 - 14*j + 33*j. Give h(i(m)).\nAnswer: 45*m**2 - 60*m + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117322, -234642, -351962, -469282, -586602, -703922?\nAnswer: -821242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, b: 1, m: 2, r: 4}. What is prob of picking 2 m and 1 b?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1973010 divided by 5059?\nAnswer: -390","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 79*t**2 + 570*t - 127. Let y be z(71). Let a(x) be the second derivative of 7*x**2 + 0 + y*x - 7\/6*x**3. Differentiate a(u) with respect to u.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9142277 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8*(-2)\/(-4))\/(27\/(-3)). What is the nearest to -0.03 in y, -0.3, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6040275 to the nearest integer?\nAnswer: 2458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -54, -43, -8, 63, 182, 361, 612?\n\"Answer: 2*m**3 - 3*m - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 - -42. Suppose -17 - 1 = -3*v. What is the lowest common multiple of v and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/(t\/(t**2\/t)))\/t)**(-2\/63)*t**(-8)*t\/t**5)**(-46) assuming t is positive.\nAnswer: t**(34868\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 109524805*b**3 - 226599693*b wrt b.\nAnswer: 657148830*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -13. What is the units digit of (-20)\/8*r\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 218202847?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 36237 and 36237 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 589, 1083, 1565, 2029, 2469?\n\"Answer: -l**3 + 501*l + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2*g + 436494 = 5*g, -5*c - 2*g = 436504. What is c rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c. Let j be d(3). Let z be 2*(-3)\/((-3)\/j). Let s be z\/(-4) - (-12)\/8. Solve -5*b + 2*t + 13 = s, 3 - 13 = -5*b + 5*t for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 503, -11.\nAnswer: -11, 5, 503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62 + 5 - 27)*(-1 + 1 - m).\nAnswer: 84*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3328 and 164992.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 132 = -3*f. Let d be 2\/(-4 + (-357)\/f). Let g = 1\/25 + d. Calculate the common denominator of -18\/11 and g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11506, 92012, 310472, 735844, 1437086?\nAnswer: 2483156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*h**4 - 288*h**3 + 288*h**3 - 12*h**2 wrt h.\nAnswer: 312*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 1 = 5 + 21. Solve f*o = -267 + 276 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 7*i = 13, -349*i + 347*i - 3 = p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*3\/(-63))\/(38\/57)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12493454.899 rounded to the nearest 10000?\nAnswer: -12490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**3*o + 79*c**2*o**2 + 668*c**2 - c*o**2 - 65189*c*o - o wrt c?\nAnswer: 6*c*o + 158*o**2 + 1336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 10:47 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 67 - (63 + -49 + -5).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 279024764 by -86.\nAnswer: -3244474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, d: 2, k: 8, y: 4}. What is prob of sequence pkp?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.29 + -3.09. Let r = -3 - t. What is the closest to -1\/4 in -2, r, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2426388 = 231*b + 540273. Is b a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 111.\nAnswer: -55.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 645973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 908 a factor of 64909294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-2)*4\/(-2). Let j(n) = -n**2 - 3*n + 23. Let i be j(3). Suppose -5*d + 45 = 3*y + 2*y, i*y = -25. Solve -l = -3*g + d for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -s**8\/6720 + s**7\/1680 - s**6\/1440 + s**3\/6 + 2*s. Let m(g) be the second derivative of o(g). Factor m(t).\nAnswer: -t**2*(t - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -2. Suppose -t - 5 = -3*a, a = -4*t + t + 15. Solve -2*h - 3*u = -7, q = 4*h - a*u - 7 + 38 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -63*d**5 + 2*d**4 + 125548*d**3 + 4886001*d**2.\nAnswer: -3780*d**2 + 48*d + 753288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -z - 193, 0 = 2*l + 3*l - 5*z - 185. Is l a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 9 + 64 = 0. Calculate the remainder when ((-62)\/10)\/(1*(-3)\/15) is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*p + 38658 + 8494 = 0. Is 6 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 531.918 - 532. Let c = -0.582 - l. What is the nearest to 5 in 1, c, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/((d\/d**6)\/d))\/d)\/d**(2\/3))**(1\/2) assuming d is positive.\nAnswer: d**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 0 + 42 + 29 + -73 - 30\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + c - 1. Let m(f) be the first derivative of 22*f**3\/3 - 3*f**2\/2 + 3*f + 45. Calculate -3*a(o) - m(o).\nAnswer: -19*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11932 and 2128.\nAnswer: 334096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*r = -6903, 4*c - 19007 - 8605 = -r. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - y = 6220. Suppose 0 = h - 2*j + 7038 - y, 2*h + 4*j + 11556 = 0. Let r = h - -127387\/22. Calculate the common denominator of r and -41\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3831 is divided by 588?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*i - 341, 2*i + 6*m = 4*m + 234. What is the remainder when i is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*o + 8 = 0, -3*o = -5*u - 1 + 9. Let i(l) = l**3 - 3*l**2 - 4*l + 2. Determine i(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/5 - 29067*b\/5 - 58146\/5.\nAnswer: 3*(b - 9691)*(b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 6 = 7*z. Differentiate 58*r**z - 85 + 52 - 120 + 20 wrt r.\nAnswer: 174*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1486 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/8366 and 95\/1424?\nAnswer: 66928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(1300))**2 + 4)*-6 + (-4 + (4 + sqrt(1300))**2)*-3.\nAnswer: -74160 - 240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 6, -2, -3, 6.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of a**5\/20 + a**4 - 2*a**3 + 5*a**2 + 10*a. Calculate z(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-12\/7)\/n)\/n**14)\/(n**6*n*n*n*n*n**25\/n*n*n) assuming n is positive.\nAnswer: n**(-369\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*l*m**2*q - 503*l*m**2 + 2*l*q + 3*m*q**2 - 406*q**2 - 2*q + 1 wrt m?\nAnswer: 4*l*m*q - 1006*l*m + 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s + 5. Let u be (64 - (-3 + 15)\/(-4))*-1. Let a = 62 + u. Determine n(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1339558 minus 38136?\nAnswer: -38135.8660442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*h - 12176638 = -12178042 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 10*t + 36624 = -5*z, 3*z = -t + 9173. Suppose -26*o + 5451 + t = 0. What are the prime factors of o?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000511256 to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-27)\/(-9)*(-2 - 21\/(-9)). Let z be (1 + -2)\/1*0. Sort x, -3, z in increasing order.\nAnswer: -3, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161 = -23*y + 16*y. Suppose -y*l = 5*l - 27804. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-103 + 577 + 39)*(2 + c**4 + c**3 + 1 - 15) to a*c**4 + k*c + j + w*c**2 + p*c**3 and give p.\nAnswer: 513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0301 + 0.09053. Let i = f + -0.06. Round i to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + m - 2. Let x(r) = -5*r**3 - 14*r**2 - 14*r + 1. Give 14*c(g) + x(g).\nAnswer: -5*g**3 - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + -8 + -7 + 27.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, k: 1, g: 4, q: 5}. Give prob of picking 3 q and 1 m.\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23 and -1502637.\nAnswer: 34560651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 25*a - 24*a - 129360 = 0, n + 2*a = 32326. Is 103 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*a + 21206 = -21899, -2*n = 3*a - 28762. Does 125 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 624 by -2.\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of a**4\/12 + 587*a - 4. Let p(g) = -7*g + 302. Determine p(v(s)).\nAnswer: -7*s**2 + 302","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2564, 4249, 8838, 17783, 32536, 54549?\nAnswer: 85274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/77, -27.8, 0.1, -4, 0, -1\/4 in decreasing order.\nAnswer: 0.1, 1\/77, 0, -1\/4, -4, -27.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/6*2)\/((-7)\/21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in 2\/7, -31630, 5, -0.2, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 216085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/4 - (-1)\/(-4). Let y = -15 - -5. Let g = y - -7. Put o, g, 3\/5 in decreasing order.\nAnswer: 3\/5, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 836185.41ns?\nAnswer: 0.000000009678071875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2016) + 2*sqrt(2016))\/sqrt(8).\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 34*j**3 + 5*j**2 - 9*j - 5. Let u(x) = -x**3 + x**2 - 2*x - 1. Let s(w) = -p(w) + 5*u(w). List the prime factors of s(-1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 5:34 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 9650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2*g - 3*g + 4)*(-2 + 2 - 2*g) as y*g**2 + o + s*g and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 2372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67 + 69. Suppose -y*i + 125 = 3*i. Solve -i = 6*j - j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.75 at most as big as -4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 8 = 10. Let i(b) be the second derivative of b**3\/6 + b**2 - b. Let m be i(-3). Which is bigger: m or k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3628\/11 - 330. What is the smallest value in -0.01, -6, d, -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/1*(-10)\/3. Let q = 15 - k. Suppose 0 = 55*p - 36 - 184. Solve -p*j = -3*j - q for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 4.9. Let o(g) = 4*g**2 - 23*g + 17. Let k be o(5). Suppose k*y + y - 15 = -4*h, y + 5 = 2*h. Which is the nearest to u? (a) h (b) -5 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**5 + 904*z**4 + 271801*z**3 + 26997290*z**2 - 54813604*z + 27543608 = 0. Calculate z.\nAnswer: -302, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-252))\/(-6*15\/140)*(-3)\/2.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**5 - 7977*d**4 + 167129*d**3 - 421647*d**2 - 167130*d + 429624 = 0?\nAnswer: -1, 1, 3, 18, 7956","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3*u + u - 2455, 5*u + f = 3047. Let q = -604 + u. Let t = 4 - 0. Sort q, 1, t in increasing order.\nAnswer: 1, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/104 and 29\/156.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1901 or -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 6*u**2 + 48. Let d be y(7). Let k = -4.01 - -4. Which is the third biggest value? (a) d (b) -3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 9*d + 14. Let v be k(4). Sort 7, v, 0 in decreasing order.\nAnswer: 7, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4103328 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h - 4*h + 3*h - h - h + h + (0 + 2 - 4)*(-4 - h + 4) - h + 2*h + 0*h + 0*h - 6*h + 4*h + h + 0*h + h + (-4 + 5 + 4)*(-h + 3 - 3) + h - 42 + 42.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3164 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t - t + 29*t = 129265. Is 103 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 5*q**2 - q - 2. Let s be m(-5). Let b(o) = -5*o + 2 - s - 5. Calculate the remainder when b(-5) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 244*j**3 - 33*j - 2?\nAnswer: 1464*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/4 + 11634*r - 46537\/4.\nAnswer: (r - 1)*(r + 46537)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/3512 + 3681\/593528. Let y = 4234\/1521 - r. What is the common denominator of y and 71\/30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4774619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 50307403 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1705492.\nAnswer: 2, 647, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-5*36\/60).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -5*s**2 + 4 - 4*s + 3*s**2 - 4*s. Let f(r) = -r**2 - 3 - 1158*r + 0*r**2 + 1165*r - r**2 + 4*r**2. What is 5*c(v) + 6*f(v)?\nAnswer: 2*v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + sqrt(68) + 4*sqrt(68)*-1 + sqrt(68) - 2*1*sqrt(68))\/(-1*sqrt(144)*2) + 1.\nAnswer: 1 + sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101101010110001111010 (base 2) to base 14.\nAnswer: 2a9750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -126 - -160. Suppose j - 32 = -2*x. Which is smaller: x or -2\/441?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 2*q + 1. What is r(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1626 is divided by 148?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -304*d - 1. Let q(o) = -2*o + 3. Let g(u) = -3*u + 3. Let p(a) = 2*g(a) - 2*q(a). Calculate t(p(k)).\nAnswer: 608*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/11? (a) 2 (b) -0.7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (9\/(-60) - 0)*-9 and 258\/(-135) + -3 - (10 + -9 + -8).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 358*r**4 - 324*r**4 + 232*r**4 + 165*r + 36*r**4 wrt r?\nAnswer: 3624*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/2 - 1311415*m + 1719809302225\/2.\nAnswer: (m - 1311415)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 46995760 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) -0.4 (c) 119 (d) -4\/5 (e) 1 (f) 30 (g) 0.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3816 - -1983. Let h = 11733 + q. What is h rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180) - (0 + sqrt(180))*4 - ((sqrt(180) + 0)*-1 + sqrt(180)).\nAnswer: -18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30108502 is divided by 1373?\nAnswer: 1358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1058 less than 0.02?\nAnswer: -1057.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 17*q - 5. Let p be h(2). Let x = 35 - p. What is the smallest common multiple of 12 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 l when two letters picked without replacement from mdklcdmn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -119 + 112.54. Let x = -8016 - -8022.041. Let d = x + l. Round d to 2 decimal places.\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8024\/11 - 725. Let u(r) = -r**2 - 7*r + 8. Let b be u(-8). Calculate the common denominator of q and (25\/(-1) - -2) + b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24393 is divided by 87?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2359, 2347, 2323, 2281, 2215, 2119, 1987?\n\"Answer: -r**3 - 5*r + 2365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - n + 9 = n, -5 = -n for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**5 - 768*r**4 - 61272*r**3 - 1045088*r**2 + 2855808*r + 9414144 = 0.\nAnswer: -36, -2, 4, 454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 3\/2 (c) 0.4 (d) -5 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1141*a**3*j**2 - 670*a**3 wrt j.\nAnswer: -2282*a**3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 2:14 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*q - 99 = 0, -4*u - u = 4*q + 230. Let k be ((-3)\/20)\/(u\/(-35)). Sort -0.4, -0.1, 2\/9, k in decreasing order.\nAnswer: 2\/9, -0.1, k, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 4*a + 38, n - 4 = 4*a - 2*a. Let u be (-4)\/n - 6\/(-18). Sort -5, -3, u in decreasing order.\nAnswer: u, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 8:54 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, z: 1, r: 1, w: 5}. What is prob of picking 1 r and 2 v?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.9 and -143.6.\nAnswer: 129.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 7 - (-9 + 7). Let u(a) = 140*a + 1446. Let f be u(-3). Calculate the highest common divisor of f and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 11:27 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f**3 - 11*f**2 - 6*f**3 + 11 - 2.\nAnswer: f**3 - 11*f**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 e when two letters picked without replacement from {e: 4, v: 8, r: 1}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.0218 + -4371.3218. What is h rounded to the nearest 100?\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 18. Let l be m(10). Let z = l - 8. Suppose 3*j - 60 - 6 = z. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 - 8 - 20*n - n**3 + 4*n**4 - 9*n**2 + 2*n**3 + 3*n**3.\nAnswer: 4*(n - 2)*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (5 - (49 + -41))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50 or -3504\/71?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 4*b - 3*v + 1, -3*b = -4*v - 1. Let o(s) = -s**3 - 3*s**2 - 6*s - 6. Let z be o(-2). Solve z*f + 5 = b for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355098155 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001011010 - 0?\nAnswer: -1001011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 9*b - 1. Let s be -5 - (-2)\/(-4)*-2. Is p(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3 = 5. Let k = -3 + t. Let u be (k + 2)\/(5 - 3). Solve -q + 5*v + 19 = -u, 3*v + 9 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15088, -15112, -15160, -15244, -15376, -15568, -15832, -16180?\nAnswer: -16624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*((-191840)\/(-218))\/10?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 3:11 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -0.34.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14194 and -18.\nAnswer: 14176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 9*x + 12. What is s(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 326144 and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 370 = 394 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from lyyyllllylllll.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 412 + b - 637 + 430*b**2 + 340 wrt b.\nAnswer: 860","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -62340 and -3.\nAnswer: 187020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 4. Let v(i) = 3*i**2 - 8 - 1 + 4 - 4. Give 9*j(u) + 4*v(u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24623?\nAnswer: 24623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3379.883522 and 0?\nAnswer: 3379.883522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 106246 and 18?\nAnswer: 956214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + v**2 + v + 2. Let s(w) = -w**3 - 3*w**2 - 3*w. Let r be s(-2). Suppose a - r*a = 0. Let i be u(a). Which is greater: i or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1334 is divided by 189?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-46)\/4 - (2 - 18\/12). Let i be (5\/((-20)\/3))\/(3\/v). Factor -9\/2 + 12*n - 1\/2*n**4 + 4*n**i - 11*n**2.\nAnswer: -(n - 3)**2*(n - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence he when two letters picked without replacement from {h: 3, e: 12}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-7)*(-13188)\/24.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -318*k**5\/5 - 270*k**2 - 242. Find the second derivative of z(q) wrt q.\nAnswer: -3816*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**3 + 180 - 33*p**3 + 167 - 497 + 152.\nAnswer: -36*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 8 = -12*n + 10*n, -3*n - b = -8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -82*c - 487. Let i be x(-6). Let w(k) = -k**2. Let d(f) = 3*f**3 + 6*f**2. Determine i*d(y) + 30*w(y).\nAnswer: 15*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*k + 7 = 3*v, -5*k = 4*v + 9. Suppose -n = -2*p - 3*p - 435, -278 = 3*p - v*n. Let o = 97 + p. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.5, -1\/2, 27, -2\/3.\nAnswer: -5, -2\/3, -1\/2, 0.5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.065414 times -23?\nAnswer: 1.504522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c - 77. Let f be m(-26). Suppose 1 - 7 = -3*x. Calculate the smallest common multiple of x and (110\/30)\/(f\/6).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000009197 to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2 = 0, -4*d - 451 = -5*l - 782. What is the remainder when 494 is divided by d?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus -8356683?\nAnswer: 8356684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -14276.89303 - 37\nAnswer: -14313.89303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 21*f**2 + f + 21. Let z be s(-21). Suppose -i + 5*a - 11 = z, -2*a = 3*i + 2*i - 26. Solve 12 = -3*t, i*t + 13 = j - 0*t for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4575 by -183.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 88592353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of 139*q**8\/56 + q**4\/12 - 14*q**2 + 2*q. Find the third derivative of y(d) wrt d.\nAnswer: 16680*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 95270 + -48613. What are the prime factors of b?\nAnswer: 13, 37, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1134 and 141498?\nAnswer: 1273482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + sqrt(13)*-3).\nAnswer: -3*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 680791 to the power of 1\/2, to the nearest integer?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30467222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - r + 3*r = -21, 4*z - 2*r = 96. Suppose -5*g - 5*i - z = 0, 5*g - 3*i = -0*g + 15. Let c be 1*-1 - 21\/(-17). Is g < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6246798790 by 5.\nAnswer: -1249359758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, j: 8}. What is prob of sequence jpp?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2220, -4462, -6704, -8946?\nAnswer: -11188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) -13987 (c) -6 (d) 4 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 6:26 AM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 510625 is divided by 22200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -t, -t + 6 = -5*y + 47. Solve 0*s + y*s + 18 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*1*sqrt(114)\/(3*sqrt(96) + sqrt(6) + sqrt(6))*5.\nAnswer: 5*sqrt(19)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 261, 2\/11, -1\/5, 2\/7, -0.4, -192?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -29*f - 662. Calculate h(-23).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*w**3 - 3*w**3 + 680*w - 2317*w.\nAnswer: -15*w**3 - 1637*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6264573691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + 4*d + 15 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5138923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-60)\/350)\/(1\/(-14)))\/((-92)\/(-345)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 447211 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 314 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 0, 3*j + 873856 = -v + 183856. Round v to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4 + a + 0 - 3. Let s be x(11). Solve s*n - 6*n - f = -5, 5*n + 3*f - 10 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -h**3 - 20*h**2 - 13*h + 49. Let w be q(-13). Solve w = c + 3 - 7 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -13.9.\nAnswer: 1.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23525140 (base 7) to base 10.\nAnswer: -2090662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/9327 + -9323\/18654. Let o = 8 + -4. What is the nearest to 2\/5 in o, -5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssississii. What is prob of picking 4 s?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4528608 divided by -2264304?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18724906.\nAnswer: 2, 151, 62003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -26\/9 (b) 4 (c) -2\/5 (d) 0.02 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, 3, 79, 2, -96 in decreasing order.\nAnswer: 79, 6, 3, 2, -4, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**3\/5 + 4608*b**2 - 20065023*b\/5 - 12080502 = 0. Calculate b.\nAnswer: -3, 1005, 6678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -139170, -0.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 12:42 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n\/(n*n**(-5\/11)))\/n*n**(11\/2))\/((n\/(n\/(n\/((n\/n**(-12)*n)\/n))))\/n*n**(-30\/13)*n))**(-13) assuming n is positive.\nAnswer: n**(-5795\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11470 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*5\/270*-9.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 189413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 8:09 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -673?\nAnswer: -673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2. Let m(u) be the second derivative of 19*u**6\/180 + u**3\/3 - 6*u. Let r(a) be the second derivative of m(a). What is r(i(c))?\nAnswer: 38*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 1:20 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**3\/13 + 184*z**2\/13 + 882*z\/13 + 1044\/13 = 0. Calculate z.\nAnswer: -87, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 - -46. Let u(k) be the first derivative of -3*k**3 + 7\/2*k**2 + d*k + 2. Let q(p) = -4*p**2 + 3*p + 2. What is -5*q(t) + 2*u(t)?\nAnswer: 2*t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -3\/5 (b) 10437 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -686 = 7*z - 0*z. Let l = z - -100. Solve 5 = -4*c + l*c - t, -4*c = -3*t - 15 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*((sqrt(80) - ((sqrt(80)*-1 - sqrt(80)) + 0) - -2*sqrt(80)*2) + 4))**2.\nAnswer: 4480*sqrt(5) + 78720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Divide -15504 by 1.\nAnswer: -15504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -80578676, -80578669, -80578662, -80578655, -80578648, -80578641?\n\"Answer: 7*u - 80578683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*x - 8. Suppose -15 = -x*l - 2*f + 5, 0 = 3*l + 4*f - 12. Suppose -l*a = -24 - 12. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 17810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 0.01 (b) 21\/16 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/31 (b) -16 (c) -3 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-27) - (-3476)\/9. Let d be (-1477)\/(-6)*9\/c. Let s = 2\/193 + d. What is the common denominator of 23\/6 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1250622 and 594018?\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -2*x + 4*s - 5, 2 = 4*x - 2*s for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (5*(-48)\/200)\/((-165)\/(-50))\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b = 7 + 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3448637 >= 3448637?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(-o + o - o) + 2 - 2 - 2*o + 8 - 8 + 11*o.\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 179485553 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 227256 and 408.\nAnswer: 227256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -4*z**2 + 162024*z - 1640736036 = 0.\nAnswer: 20253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 + -49. Let x be ((-4)\/v)\/((-2)\/72). What is the greatest common divisor of 12 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 0*v + 1 = v, -3*i - v = -9 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**4 - h + h + (9*h + 6*h - 11*h)*(2*h**3 + 2*h**3 - 6*h**3).\nAnswer: -7*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1754, 1745, 1736, 1727, 1718?\nAnswer: 1709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*i**5 - i**4 + 673131*i**3 + 375529409*i**2 wrt i?\nAnswer: 660*i**2 - 24*i + 4038786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4513030 (base 6) in base 9?\nAnswer: 376020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + (-320)\/104)*46\/23?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36815237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - w + 11. Let m(f) = -4*f**2 + 2*f + 16. Let r be m(w). Round r to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -758 - -1099. Suppose 0 = 3*v - 180 + 87. What is the highest common factor of v and f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 683.911591 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2448)\/80)\/(-17)*10.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 6220 and 6815 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 5 - 3)*(0 - 1 + 3) + 0 - 2 + 3)*(80 + 1342 - 73)*(16*o + 3*o - 7*o) - 4*o + 0*o + 3*o.\nAnswer: -16189*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, -10, 3\/4, 2\/7 in decreasing order.\nAnswer: 46, 3\/4, 2\/7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 471464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-974)\/(-6) + 2\/(-6). Let t = -71 + a. Calculate the greatest common factor of 13 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-64)\/6)\/((-16)\/24). Let x = -14 + g. Suppose -x*y = 5*z - 614, -2*y - 2*y - 384 = -3*z. Is 31 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 7:18 AM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 37?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3895\/22 + -175. Let i be (-1 - 3) + 2 + (-1617)\/28. Let x = -58 - i. Calculate the common denominator of x and s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 77671647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6, 66, 174, 336, 558, 846, 1206, 1644?\n\"Answer: w**3 + 18*w**2 - w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1278053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vawvvvvvvwvvwvv. Give prob of picking 1 v, 1 a, and 2 w.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 16 + 525*y - 1586*y + 532*y + 530*y. Let u(v) = -1. Calculate i(g) + 2*u(g).\nAnswer: g + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/4))**(2\/11)*i**(-7)\/i*i**(4\/9))**(28\/3) assuming i is positive.\nAnswer: i**(-20818\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 1:15 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0)**(3\/14)*(x**(-1\/4))**33 assuming x is positive.\nAnswer: x**(-33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.5 + 11.5. Let d = -9.984 + i. Round d to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 5*w + 29. Let x be h(3). Let s(p) = 28*p - 123. Let y be s(x). Solve 3*t - 3 = 4*l - 34, t = 3*l - y for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 146306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -181*x + 2348. Let l be t(13). Let w = 7 + -3. Which is the closest to -1? (a) w (b) -0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 14. Let s = x + 10.4. Suppose v = 2 - 0. What is the closest to -2\/7 in 0, v, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-seven fifths of a millimeter?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 276352.599869 - 276204.6. Let c = 0.195 + 147.805. Let g = c - d. What is g rounded to five dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 3:53 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 127255312 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -341*l**2*n**2*o - 1701*l**2*o - 86700*n**2*o - 38*n**2 - 2*o wrt l.\nAnswer: -682*l*n**2*o - 3402*l*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -6*j**2. Let g(t) be the third derivative of -3*t**4\/8 - t**3\/6 - 2*t**2 + t. Give g(n(q)).\nAnswer: 54*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 12 + 13 = 3*r, 0 = -4*r - w + 16. Put r, 1, 2 in increasing order.\nAnswer: 1, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 53, 95, 161, 257, 389, 563, 785?\nAnswer: 1061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6558 + 6278. Are p and 3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 172, 195, 250, 343, 480, 667, 910?\nAnswer: 1215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 2*(-2)\/4 - (-48 + -1).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5672 + 5671.5. What is the third smallest value in 10003, 0.1, b?\nAnswer: 10003","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 - 456 = 12*p. Sort p, 3, -18.\nAnswer: p, -18, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**3\/4 - 205*j**2\/4 - 646*j - 1085 = 0.\nAnswer: -10, -2, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 209? (a) 0.204 (b) -4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1298.1099 months?\nAnswer: 0.108175825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 571017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16685.\nAnswer: 5, 47, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 2 + 7 - (-38 - -55) - 1\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1446\/(-19280))\/(1\/10*(-2)\/(-1))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007515 to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**2\/8 + 52761*r\/4 - 105546 = 0. What is r?\nAnswer: -35182, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/6, -1\/4, 0.2, -1\/44?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 726\/968*(64\/(-52))\/4.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -10, -63*s + 68*s - 2*r = 0. Suppose 2*m = -s*b - 49000, 6*m = -3*b + 7*m - 73500. Round b to the nearest 1000.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3217 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -12*w**3 + 8*w + 2. Let b(n) be the second derivative of -n**5\/20 + n**3\/6 + 853*n. What is -8*b(v) + s(v)?\nAnswer: -4*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2401458.7 less than -0.2?\nAnswer: 2401458.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239*m + 240730 = 179*m + 247*m. What is the lowest common multiple of m and 1810?\nAnswer: 1810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**3 + 0 + 4\/3*z**4 + 2\/3*z**2 + 0*z = 0. What is z?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 354*v**2 + 166 - 66 - 96.\nAnswer: 354*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18388962*n - 3690934?\nAnswer: -18388962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 310680228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(511*u**2 - 2*u**3 - 300*u**2 - 285*u**2).\nAnswer: 2*u**3 + 74*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -13, 0.1, -1, -0.03 in decreasing order.\nAnswer: 3, 0.1, -0.03, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -313 - -202220?\nAnswer: 201402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2156 times 1696\nAnswer: 3656576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-1 + 0 + 2). Is (-3 + s)\/(-1)*18 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -9, 3, 311, 4 in decreasing order.\nAnswer: 311, 4, 3, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/73, -2, 1\/6, 2\/11 in descending order.\nAnswer: 2\/11, 1\/6, 2\/73, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 884*o - 879*o - 137 = 0, 0 = g + 4*o - 97 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1554 divided by 7.\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.2923866 to three dps.\nAnswer: 2.292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22644 and 42624?\nAnswer: 724608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l - 5*l**2 - 8*l - 15*l**2 + 15 - l**3 + 7*l**2. Let q be x(-12). Factor 1\/4*n**q + 0*n - 1\/4*n**2 + 0.\nAnswer: n**2*(n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 246 and 369.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 47*c**2 - 20*c + 8. Does 34 divide g(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -35, -102, -181, -278, -399, -550?\n\"Answer: -l**3 - 60*l + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 17. Let b(m) = m**2 + 16*m + 35. Let u be b(-13). Let a = i + u. Calculate the least common multiple of a and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-4)\/(-20)))\/(3\/3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 420346463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -7923740 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2393134927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3923 or 3925?\nAnswer: 3923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 272527252?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -7*d**3 + 11*d**2 + 18*d + 22. Let q(z) = -15*z**3 + 22*z**2 + 37*z + 45. Let r(x) = 13*n(x) - 6*q(x). Does 7 divide r(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of c**4\/12 + 17*c**3\/6 - 83*c**2\/2 - c - 1962. Give j(-18).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 0 + 1, 3*d = -4*c + 115. Calculate the remainder when 55*(-4)\/(-6) - (-3204)\/2403 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 2 - 5) + 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-1) - 0*7\/21. Suppose f = -p, -6*f + 2*f + 118 = 2*q. Suppose q = 2*o - 3*z, -2*z = -0*o + 2*o - 58. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6942.29805 to the nearest 100.\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 10*r**2 + 10*r - 1. Let n be s(-9). What is the remainder when (-5)\/n + (-63)\/(-2) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 1:55 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/5, 0.2, -362605, -4\/7, 1\/6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 119 and 6?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1 + sqrt(2448)) + 4*(-1 + sqrt(2448)) + 0 + -5*(sqrt(187)\/(sqrt(11)*-1) + -1 + sqrt(2448)))**2.\nAnswer: -550*sqrt(17) + 51450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g**1\/g*g)))**(-6\/7)*g\/g**(1\/7)*g**(2\/9)*((g**(1\/2)*g)\/(g*g\/g**(1\/7)*g))**10 assuming g is positive.\nAnswer: g**(-841\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - p - 2*p)*(-6 + 4 + 0 - 2*p) + (p + 2*p + p)*(-p - 1 + 1).\nAnswer: -2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(7\/4)\/(a*a*a\/a**(7\/2)))\/(a**(2\/17)\/(a**(-4)*a))*((a**(-3\/10)\/a)\/(a\/(a**8*a)))\/((a**(-1\/3)*a)\/a)**(-5\/2) assuming a is positive.\nAnswer: a**(5099\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 - 24*y + 33. What is u(7)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(2\/(-6))*(185\/(-50))\/(261\/(-174)).\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of 5*t**5\/12 + 7*t**3\/6 + 24*t**2. Find the first derivative of o(x) wrt x.\nAnswer: 50*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -3. Let u = -2346\/7 + 11758\/35. Factor u*k**2 - 2*k + w*k**3 - 4\/5.\nAnswer: 2*(k - 1)*(k + 1)*(5*k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -464 - -778. Let a = -313.8 + c. Put -2, a, -12 in descending order.\nAnswer: a, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 7*c**2 - 8*c + 7. What are the prime factors of b(5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3 + -6*(sqrt(567) + 2) + sqrt(567) + -1)**2.\nAnswer: 900*sqrt(7) + 14277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6 + (-10)\/1000*591 and -119\/20?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -710355, -710356, -710357, -710358, -710359, -710360?\n\"Answer: -x - 710354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872)*-1 + sqrt(1872) + -5 - (sqrt(832) + sqrt(832)*-2 + sqrt(832))*4)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 3*x - 4*f, f - 5 = -4. What is the highest common divisor of x and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112, -141, -170, -199, -228, -257?\nAnswer: -286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -112932219\/12760 - -778821\/88. Let k = -2\/1595 + c. Let f = 3 + -2. What is the closest to k in 5, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232780565 to the power of 1\/2, to the nearest integer?\nAnswer: 15257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18569 or 18572?\nAnswer: 18569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 33?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*(2*sqrt(170)*-3*-1)\/(4*-1*sqrt(10)*2).\nAnswer: -3*sqrt(17)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -5*x**8\/504 - x**7\/45 + x**6\/60 + 7*x**5\/90 + x**4\/18 + 17*x**2. Find b, given that o(b) = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -74*w**2 + 3*w. Let a(h) = -2*h. What is a(z) + i(z)?\nAnswer: -74*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 23*h - 322. Let p be i(33). Solve -11*n = -7*n - p for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001100 (base 2) in base 9?\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 3) + 27\/3. Let n(w) = -10 - d*w - 17*w + w. Let h be n(-5). What is the greatest common divisor of h and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-4) + (-2)\/8. Suppose -c - 2*i + 4 = 0, x*c + 4 = c - 4*i. Let h be ((-4)\/(-10))\/(3\/45). Is h at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v + 7. Give d(10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1311 is divided by 73.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 5*n + 18. What is the derivative of -4 + b**n - 3 - 9*b**3 wrt b?\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/36 and 50\/4707.\nAnswer: 18828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 219 - 111. Does 36 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -6*c**2. Suppose 11*g + 86 = 86. Let b(j) be the second derivative of 0*j**3 + 1\/3*j**4 + 0 + j + g*j**2. Give z(b(m)).\nAnswer: -96*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1896 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4193477.\nAnswer: 409, 10253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-117)\/(-6) - (-29 - 1180\/(-40)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-6)*(5 + (-81)\/15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/4 (b) -2\/3 (c) 1\/7 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxq when three letters picked without replacement from xqqqx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 11\/((-495)\/(-44450)) - (-12)\/54?\nAnswer: 4940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17061 and 3337?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, w: 2, j: 3, p: 5, h: 1}. Give prob of sequence jwph.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*u - 2*a = 59*u - 2, 0 = -u - 4*a - 23. Suppose 5*w = 3*f - 104, -3*f - 2*w + 38 = -38. Calculate the remainder when f is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -88*x - 21. Let c be u(-3). What is the highest common factor of 9 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -3*x - 33, -1388*n = -1384*n - 3*x - 63 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 24 = -7*y. Suppose 4 = -4*z + y. Which is smaller: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 232 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 6:11 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.026023 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**2 + t - 1. Let s(g) = 36*g**2 + 4*g. Calculate s(z) - 2*x(z).\nAnswer: 40*z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -i**3 - 7*i**2\/2 + 3*i + 8. Let h be t(-2). Solve 5*q - 5 = 4*f + 12, -h*f + 4*q - 10 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 63881*i**3*j**2 - 843*i**3 + 28*i**2 - i*j**3 wrt j?\nAnswer: 127762*i**3*j - 3*i*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -184740823, -738963288, -1662667397, -2955853150?\n\"Answer: -184740822*i**2 + i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 7*b + 18 = 3*q, -4*q - 22 = -b. Suppose -3*f + f - 2 = 0. Calculate the least common multiple of b and -1 + 9 - (-3 - f).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176590 is divided by 43849.\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.04*-2293172\nAnswer: 91726.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, 11, -1\/3, -161, 0, 1 in descending order.\nAnswer: 11, 1, 0, -1\/3, -0.6, -161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(363) + 1 - (-4 + 1 + sqrt(3) - sqrt(9)\/sqrt(3)*4)**2.\nAnswer: -36 - 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11.8 and -0.37?\nAnswer: -4.366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p + 8*p - p)*(3*p + 3*p - 2*p + (4*p + 3*p + 0*p)*(0 + 2 + 0)) to w*p**2 + o*p + v and give w.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 197? (a) -9\/20 (b) 0 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*b = -17, 2*p = 6*b - 2*b + 2. Suppose r + 4*r = -p*x + 5, 4*x = r - 24. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -56 (b) -1.65 (c) 3\/32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 35*v**4 + 25*v**3 - 96*v**2 + 25*v. Let g(l) = 12*l**4 + 8*l**3 - 32*l**2 + 8*l. Let m(b) = -11*g(b) + 4*k(b). Factor m(j).\nAnswer: 4*j*(j - 1)*(j + 3)*(2*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 53?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - -4.9. Let d = 8 - 49. Let i = -43 - d. What is the third smallest value in i, z, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41982 - 20992 - 20990 - 5*d.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35712532?\nAnswer: 2, 43, 397, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59 - -66. Let w = m - 7. Let i be (15\/(-4))\/(-3) + -1. Which is the nearest to i? (a) 2\/9 (b) -0.5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1399, 3536, 9337, 20632, 39251, 67024?\n\"Answer: 305*t**3 + 2*t**2 - 4*t + 1096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**1)**(-4))**(5\/3))**(-5\/2) assuming h is positive.\nAnswer: h**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16222504?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 11.52 * -582\nAnswer: -6704.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 1dc00?\nAnswer: 1dc04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + 15. Let q = u - 25. Suppose 0 = -2*w + 4*n + 5 - 1, 4*w - q = -n. Solve b = 3*c - w, 3*c + 1 = 5*b - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/42)\/((-48)\/(-14))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -129 - -224.6. Let t = q + -15.6. Let a = t + -80.5. What is the fourth biggest value in 7, a, 2\/21, -1\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2511153\/26 + -96627. Is -43 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**0\/y))**(-6\/19) assuming y is positive.\nAnswer: y**(-12\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1020 and 4845?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = k + 2. Suppose k*i - 4*x = -i + 169, -3*x + 6 = 0. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-7\/5)\/(f\/f**(-3\/5)))**(2\/11))**(-37) assuming f is positive.\nAnswer: f**(222\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10481048?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2600472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from viysyysyy?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) 0.3 (b) 2 (c) 3944992\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/8 (b) 4 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 1\/7 (c) -3820711\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -46 + 114. List the prime factors of y.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333 is divided by (8\/(-6) + 1)*-126?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 + 5. Solve 3*w + c = 34 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 122310 and 8?\nAnswer: 489240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-30)\/10 - -3)*-1. Suppose -15 = -7*o + 2*o. Solve -2*b - 2*r - 8 = p, -13 = b + o*r - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 148 and 2.\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8543638134*h**2 - 1 + 3 - 2 - 8543638147*h**2.\nAnswer: -13*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-40)*970\/(-291))\/(((-110)\/(-8))\/5)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 1, 4 in decreasing order.\nAnswer: 4, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 2*j**6 + 5*j**2 - 24. What is the second derivative of b(h) wrt h?\nAnswer: 240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34080631.\nAnswer: 13, 17, 154211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 84?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -17. Suppose 0 = 5*v - 4 - 1, -108 = -n*m + 4*v. Suppose 0 = 4*q - 0*p - 3*p - 112, -5*p + m = 2*q. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**2\/9 - 764*p\/9 + 72962\/9 = 0. Calculate p.\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 8*c**2 + 835*c - 7439. Determine y(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 - -21.5. Let k = -2.8 + v. Which is smaller: -1\/4 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/4*(1 - -11). Suppose -5 - 6 = -w + 4*x, 4*w - 57 = 3*x. Find the second derivative of h*n**5 + n + w*n + 17*n wrt n.\nAnswer: 720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 1512 = 5*j - j, 5*b = 3*j + 3780. What are the prime factors of b?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**3*s**3 + 697*q**3*s + 2*q**2*s**3 - 85*q*s**3 - s**3 wrt q?\nAnswer: -12*s**3 + 4182*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 3*w**2 - 2*w - 5. Let p be y(4). Suppose 5*x + 163 = 4*b + 1940, -5*x - p*b + 1791 = 0. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2861.78 rounded to zero dps?\nAnswer: -2862","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*k = 35*k - 68 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 203787949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9.185196 months?\nAnswer: 0.00765433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, p: 5, k: 7}. What is prob of picking 1 j, 1 p, and 1 k?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138622086 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 153 = 2*a. Suppose s + d - 18 = 0, 3*s - 6*s + a = 4*d. Calculate the remainder when s is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2. Let c(u) = -22048758*u. Determine q(c(j)).\nAnswer: 486147729342564*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7869 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and -862.\nAnswer: -862.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 351273210 to the power of 1\/2, to the nearest integer?\nAnswer: 18742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 430592*q**5 - 5816704*q**4\/3 + 25239752*q**3\/9 - 3899468*q**2\/3 + 33460*q\/9 - 8\/3 = 0. Calculate q.\nAnswer: 1\/696, 1, 3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 39, 94, 173, 282, 427, 614, 849?\nAnswer: 1138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) 0.1 (c) 0.4 (d) -43 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(209)\/(-1*sqrt(11)) - sqrt(2736)*2) + (1*sqrt(19) + 0 - (1 + sqrt(19)*-3))**2.\nAnswer: -33*sqrt(19) + 301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jlydxjdyjjljddldyxy. Give prob of picking 2 y.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a**(-2)\/a)*a)**(-35)*(a**(3\/11)\/a)\/a**7)\/(((a*a**(-10))\/a)\/a*a**(-3\/7)*a)**(-25) assuming a is positive.\nAnswer: a**(-36840\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5969 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 408\/(-306)*6\/4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/4 - 2\/72. Let t = -485 + 639. Let i = t + -153. Which is the nearest to i? (a) 5 (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 191*r - 198*r**2 - 72*r - 30*r - 66*r in the form i + q*r + v*r**2 and give q.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 168887 or 168880?\nAnswer: 168880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 47215 divided by 1\nAnswer: 47215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/3 - (2 - (-152)\/6). Let k be ((-1)\/(-4))\/((-12)\/48)*q. Solve 0 = 5*p + 12 - k for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m - 9 + 21 = 35. Let b be (-13)\/22 - 1*-1. Is b greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-1\/2)\/((c\/(c\/c**(1\/5)))\/c))\/((c**1\/c)\/(c\/c**(2\/5))))**(2\/39))**(-39) assuming c is positive.\nAnswer: c**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245 - 29 = 134*r - 52. Let w(o) be the second derivative of 7*o**4\/6 + o**3\/3 - o. Let h(q) = 70*q**2 + 11*q. Give r*h(x) - 11*w(x).\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105884102?\nAnswer: 2, 52942051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 2*v - 15610 = 0, -2530 + 792 = -b - 2*v. What is the greatest common divisor of b and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002758 to five decimal places.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 511.\nAnswer: -6\/511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 9:30 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 660 = 2735. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 78 = 74 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 750000 and 5172?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (16\/(-6))\/(-8) - (-1949)\/3. Suppose -12*c + 934 = -p. Is 22 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 675943 - 1691055\nAnswer: -1015112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 1490 = -u - u, -q + 3*u - 735 = 0. Let g be (-560)\/q - (-4)\/(-6). Which is greater: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -871 at least as big as -56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 10*c + 8. Let h be m(-6). Let d be (h\/20)\/4*(82 + 2). Let x = d + -33. What is the third biggest value in x, -1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1278 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21210212200220 + -11?\nAnswer: 21210212200202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -7*s + 21. Calculate u(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -n - 20 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.02 + 0.22. What is the smallest value in -4\/7, 81, u?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y + 1. Calculate the remainder when 24 is divided by f(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 424 and 5989.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 6*q**3 + 6*q**2 - 2*q + 2. Let u(d) = 7*d**3 + 7*d**2 - 2*d + 3. Let m(x) = 4*u(x) - 5*v(x). Factor m(a).\nAnswer: -2*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 158.2 - 154.785. Let s = 0.775 + p. What is s rounded to one dp?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -236.08 + 236. What is the biggest value in 0.2, o, -1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2105490, -8422415, -18950624, -33690117, -52640894?\n\"Answer: -2105642*c**2 + c + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5\/51 + -4\/17. What is the closest to -2 in 0.2, 2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38040 and 4115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*-1*(-1)\/2. Suppose q - t*q = -20. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 12783909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 511520 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 66417373?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.02, 1\/4, -8\/9, 0.3, -3.8, -129?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 8:04 AM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (588\/(-686))\/((-6)\/(-56))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-23 + 5 - -7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 78aad9 + -8?\nAnswer: 78aad1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by 4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 4*a + 20 = 0, 4*a + 25 = o - a for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 540 and 90900?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 1080.4?\nAnswer: -432.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q - 2*q**3 + 1975*q**2 + 25*q - 21*q**2 + 582*q**2.\nAnswer: -2*q**3 + 2536*q**2 + 20*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*(-2)\/(-60))\/((-3)\/(-45))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**5\/2 - 97*t**4 + 6561*t**3 - 195426*t**2 + 4884165*t\/2 - 8085825.\nAnswer: (t - 90)*(t - 33)**3*(t - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 p when two letters picked without replacement from {p: 10, j: 4}?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -30. Suppose -s = -x*h + 30, -5*h - 2*s = -30 - 14. Calculate the lowest common multiple of 11 and h.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -5 (b) 4 (c) -42 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 3) to base 2.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h - 17. Let y be w(-7). Let t be 11283\/y*(-5)\/2. Let c = t + -2839. What is the common denominator of c and 43\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -67, -124, -171, -208, -235, -252, -259?\n\"Answer: 5*j**2 - 72*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -194*w**3 + 194*w**3 - 46*w**5 + (-3*w**2 - w**2 + 2*w**2)*(0*w**3 + 2*w**3 - 3*w**3) - w**5 + 3*w**5 + 5*w**5.\nAnswer: -37*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-eight fifths of a millennium?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2*l + 0)*(-2*l**2 + 2*l**2 - l**3) - 4*l**4 - 9*l**2 + 9*l**2 - 5*l**4 + l**4 - 7*l**4 to p*l**2 + v*l**4 + s*l**3 + c + r*l and give v.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) -42\/11 (c) 256 (d) 0 (e) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 6*h**2 + 34*h - 249. What is the remainder when d(6) is divided by 51?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -1.4 (c) -4 (d) 2\/3 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 11:23 AM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 - 19*v + 54. What is the remainder when 694 is divided by g(11)?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m\/(m\/m**22*m*m*m))))**42 assuming m is positive.\nAnswer: m**798","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -2 + 2\/3*k + 1\/6*k**2 - 2\/9*k**3 - 1\/12*k**4. Suppose h(u) = 0. Calculate u.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1130567.4, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 913 - 19?\nAnswer: 8b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -170 + 114. Let g = x - -53. Let j = 3.00000015 + g. What is j rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -6*h**3 + 5*h**2 + 5. Let s(r) = 3*r**3 - 2*r**2 - 2. What is 5*s(d) + 2*y(d)?\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-2 - (1 - (2 + -2))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 - -33. What is the units digit of 1\/((-5)\/(-10)*u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4*v + 280, -5*p - 150 = -2*v + 8. Suppose v = 5*y + 4*x - 0*x, 5*x = 5*y - 60. Solve y*w = 9*w - 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -615*x + 1879 + 617*x - 1879.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -4.16 (b) 1\/2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**5)**(20\/3))**(-44) assuming f is positive.\nAnswer: f**(-4400\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 5*k - 7. Let n(g) = -3*g + 4. Suppose 20 = -l - 4*c, -2*l - c = 4*c + 28. Let d(s) = l*y(s) - 7*n(s). Let u(a) = 2*a + 2. Determine d(u(v)).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 p, and 1 b when three letters picked without replacement from tbtjaajajpa?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7795 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 258430891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 139 = -m, 0*n + 3*m - 210 = -3*n. Suppose 2*w = n - 17. Calculate the remainder when 103 is divided by w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*g + 43 = 274 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 17*b**2 - 15*b - 15. Let g be m(16). Let s(z) = 144*z. Let r be s(g). Suppose 4*v = -0*v + r. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 348 divided by 116.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5*a + 76, -4*a - 68 = -4*c - 4. Let o = a + 23. Calculate the least common multiple of o and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21597766 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 36 - 184. Suppose -4*d - 41 = -r. Is 1669\/(-3)*3*d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52*25\/18200)\/((-8)\/(-98)).\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -16.8 (c) -4 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27751 - 27748. Let w(d) = 5*d - 6. Let q(i) = -i + 1. Let k(a) = 3*q(a) + w(a). Let n(m) = 15*m - 20. Calculate s*n(l) - 20*k(l).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6464.127 litres to millilitres.\nAnswer: 6464127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 350\/420 + (-2)\/12*233\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1569228*(38\/6 + -2). Suppose 4*c = -4*v - b, -2*c - 6800006 = 4*v - 4*c. What is v rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -634*k + 639*k - 5*l - 2300, -3*l + 2276 = 5*k. Calculate the remainder when k is divided by 61.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -506560, -506567, -506580, -506599, -506624, -506655, -506692?\nAnswer: -506735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -251\/6 + 42. Suppose -4*p + 4 + 0 = 0. Which is smaller: w or p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 29 + 0 = 0. What are the prime factors of j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p. Let a(m) = -395*m**2 - m + 7. What is y(a(f))?\nAnswer: -1580*f**2 - 4*f + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 + 0*b**2 - b**2)*(b - 6*b + 3*b) + (-4*b - 2*b + 3*b)*(-3 + 3 - 3*b**2).\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 16 = -0*p. Let u(x) = 3*x**2 - 10*x - 11. What is the units digit of u(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2000 - 2111?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 991992141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2*r - 437 + 51, -173 = -p - 4*r. What is the least common multiple of 7 and p?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fifteen quarters of a millisecond?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 1415*a**3 - 90*a**2 - 3. Let h(l) = 4246*l**3 - 273*l**2 - l - 10. Let r(u) = -3*h(u) + 10*q(u). What is the third derivative of r(o) wrt o?\nAnswer: 8472","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 4*n + 11 = 0, -72*s = -76*s - 5*n - 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 433, 0.5, 0.4?\nAnswer: 433","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/(-35)*3\/((-12)\/(-14)). Suppose -a*o + 51 = 5*t - 6, 5*t - 15 = 0. Calculate the remainder when 81 is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**8\/168 + 2507*l**7\/210 - 139*l**5\/3 - 1052*l**2. What is the third derivative of n(j) wrt j?\nAnswer: 120*j**2 + 60168*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 815699.3 decades in millennia?\nAnswer: 8156.993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - 17. Suppose -3*r - 3*z + 39 = c, 0 = r + 2*r - 5*z + 1. What is the remainder when 29 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1886835.6ns in days?\nAnswer: 0.000000021838375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/16772607 and -47\/44328.\nAnswer: 134180856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13*(-26)\/845*5\/(-11)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-6) - 153\/27. Does 8 divide 8\/(-4) - (3 + m) - -8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 14*t - 3*t - 60, 2*t = -5*j + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -534364.6?\nAnswer: -106872.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 7*b. Let p be w(3). Suppose 10*d - p = 3*d. Suppose 5 = -5*f - 5*g, -4*f - d*g + 1 = f. Solve 25 = 5*h + f*u, -5 = -h - u + 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 122 and 12?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2636 - -1056?\nAnswer: 4025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 7*w**2 - 9*w + 7. Let n(v) = -v**3 + 3*v**2 - 4*v + 4. Let r be n(3). Let j be i(r). Solve 5*x = 2*x - j for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.081 - 142.919. Let k = 142.9 + m. Which is the second biggest value? (a) k (b) -1 (c) -3 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143944308 is divided by 18145.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/8 and -59\/1254.\nAnswer: 5016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -3)\/3*6. Suppose -3*o = -u*o. What are the prime factors of (o + 4\/4)*13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 276.8 + -295.81. Let t = -19 - z. Let v = -7 + 5. Which is the nearest to 1? (a) t (b) v (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 93*c**2*d**2 + 15*c*d**2 + 358*d**2 wrt c?\nAnswer: 186*c*d**2 + 15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/281?\nAnswer: -1\/281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i - 4. Is 5 a factor of j(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-23)\/(-12) + -6*(-13)\/(-468). Factor -q*a - 1\/4*a**3 + 5\/4*a**2 + 3\/4.\nAnswer: -(a - 3)*(a - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 5. Suppose a + 14 = 4*t, -t - 4*a = a - 14. Let j be l(t). Let m be -21*(2\/3 + -1). What is the highest common factor of j and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18875 and 30450.\nAnswer: 22989750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 9, k: 6, s: 2}. Give prob of picking 2 v and 1 s.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a245 - -85?\nAnswer: 1a31a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7845554386 and -20.9.\nAnswer: -7845554406.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 - -31?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 310030 a multiple of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 18, 38, 66, 102, 146, 198?\nAnswer: 258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v**5 + 928*v**4 + 1762505*v**3\/7 - 1008732*v**2\/7 + 144180*v\/7 = 0. Calculate v.\nAnswer: -135, 0, 2\/7, 267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5836 divided by 30\nAnswer: 2918\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-4)*g*g)\/g)**(-7\/6)\/((g*g\/g**0*g)\/(g**0*g)) assuming g is positive.\nAnswer: g**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*n**2 - 3)*(-4*n**3 + n**3 - n**3) - 4*n**5 + 6*n**5 - 4*n**5 + (n + 1 - 1)*(4*n**4 - 3*n**4 - 2*n**4) - n**5 - 2*n**5 + 5*n**5.\nAnswer: 7*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*t = 5, 15*d - 12*d + 2*t - 5 = 0. Solve h - 7 = d*q, -18*h - q = -13*h + 29 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -15*q**2 + 167*q - 8. Let f(u) = -3*u**2 + 42*u - 2. Determine 9*f(a) - 2*z(a).\nAnswer: 3*a**2 + 44*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6563107\/960 + -34181\/5. Find the common denominator of s and 45\/32.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -3 - 6\/5*d**5 + 0*d + 2*d**2 + 5*d**4 - 6*d**3. Find b such that v(b) = 0.\nAnswer: 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 39 - 30. Suppose -f + 1012 = 3*f. Calculate the highest common divisor of w and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -422*m + 66*m + 508*m - 78*m - 73*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 54147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 3*d + d)*(4*d**4 - 3*d**4 + 3*d**4) + 3*d**5 - 5*d**5 + 3*d**5.\nAnswer: -15*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 12:13 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 2:06 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32*c*n**2 - 14*c*n*w**2 - 7*c*n*w - 4676*n**2 + w**2 with respect to c.\nAnswer: -32*n**2 - 14*n*w**2 - 7*n*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eyirvie. What is prob of picking 1 i, 1 e, and 1 v?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -225470 rounded to the nearest 10000?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 10 = 5*j - 3*f, -2*j + 8 = 5*f. Let h = -1 + j. Let w = h + 2. Solve 3*a + 3 = -3*t, w*a + a = 5*t - 19 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 263959 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 107, 139, 279, 581, 1099, 1887?\n\"Answer: 9*u**3 - 31*u + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 7*m**3 - 7*m**2 + 2*m + 5. Let s(a) = -a**3 - a**2 - 2*a - 6. Let w be s(0). Let i(r) = 8*r**3 - 8*r**2 + 2*r + 6. What is w*j(v) + 5*i(v)?\nAnswer: -2*v**3 + 2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 5, -1, -0.02, 11, -1\/10, 0.047, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1730 = 409*r - 503 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**4 - l**3 - 6*l**2 - 5*l + 1. Let k(q) = 6*q**2 + 4*q - 2. Suppose -3*z - z = -3*p - 30, 5*z = -2*p + 3. Let t(r) = p*k(r) - 4*f(r). Factor t(o).\nAnswer: 4*(o - 1)**2*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 - 80*w**2 + 84*w.\nAnswer: -4*w*(w - 1)*(w + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00058547655 rounded to 6 dps?\nAnswer: -0.000585","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 17 = -4*r, 7 = 3*r - 5*d - 10 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 1 - 2*p - 4*p**2 - p + 4*p. Let t be f(-1). Suppose 3*y - 9 + 6 = -3*g, 3*g = 5*y - 13. Which is the nearest to g? (a) 5 (b) -3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of 0*f**6 + 11\/210*f**7 - 5\/6*f**3 + 0 + 0*f - 16*f**2 + 0*f**4 + 0*f**5. What is the derivative of r(v) wrt v?\nAnswer: 44*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2012685633?\nAnswer: 3, 7, 23, 31, 37, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -150.4192 rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -13*u + 10*u - 2, -8 = -4*o for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 115, 510, 1177, 2122, 3351, 4870, 6685?\n\"Answer: j**3 + 130*j**2 - 2*j - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9476450 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = a, -2*s = -a - 3 - 3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + (-3 - 27) - 2) + -115 + 126?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9321 is divided by 4659.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 489310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -10530, -4 in ascending order.\nAnswer: -10530, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1061387.\nAnswer: 191, 5557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of x**6\/420 + x**5\/140 - 11*x**4\/168 - x**3\/7 - 26*x**2 + 80. Let u(q) be the second derivative of w(q). Factor u(r).\nAnswer: (r - 2)*(r + 3)*(2*r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8210*q**5 - q**4 - 2*q**3 + 10540*q**2 + 2*q wrt q?\nAnswer: -492600*q**2 - 24*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (1276\/232)\/((-2)\/(-4276)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of u**2\/2 + 7*u + 3. Let m be b(-3). Solve -m*o = -7*o - 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1517, -1498, -1465, -1418?\nAnswer: -1357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -815*s**2 + 978*s - 489. Let c(y) = -2*y**2 + 2*y - 1. Calculate 489*c(v) - m(v).\nAnswer: -163*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-16)\/(-10))\/((-2)\/(-440)). Suppose 91 = -3*r + v. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -6*b**3 - 138*b**2 + 515*b - 5. Determine a(4).\nAnswer: -537","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 + 695?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**3 - 5*i + 5*i)*(9035 - 9035 + 209*i)*(-1 - i + 1).\nAnswer: -836*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2279\/11 - -207. Which is the closest to z? (a) 5 (b) -2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gs when two letters picked without replacement from {e: 4, g: 4, x: 2, s: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47952713 + 2311.\nAnswer: -47950402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l + 12*l + 15*l - 7*l to the form i*l + a and give i.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 477888\/43 - 11113. Calculate the common denominator of ((-546)\/1456)\/(20\/608) and p.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2 + t - 2. Let i be -2 + 2 + -1 - (6 + -7). Suppose -2*q + 6 = -5*g + q, 4*g - 5*q - 3 = i. Give v(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19869048 and 1435664?\nAnswer: 13544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 113036, 113014, 112992, 112970, 112948, 112926?\n\"Answer: -22*k + 113058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2792, 2828, 2862, 2894, 2924?\nAnswer: 2952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-464 + 593 - 1606)*(6 + 0 - 2*w - 2).\nAnswer: 2954*w - 5908","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11353 * -4.401.\nAnswer: 49964.553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 + 398\/9. Let f = -6 + 5.7. Which is the nearest to f? (a) 2 (b) d (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42\/17 - 857\/340. Let g = 98 - 97. What is the biggest value in -0.3, i, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 693*a**5 - 6024*a**4 - 2476395*a**3 + 6694950*a**2 - 3490308*a + 86184 = 0. Calculate a.\nAnswer: -57, 2\/77, 2\/3, 2, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/2)\/((-12)\/16). Let f be g\/(-7) + 12\/(-42). Suppose -4*n - 3*i - 250 = -f*n, i = 3*n + 181. Round n to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.658 + 0.958. What is the nearest to c in 3, 0.4, 0.26?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*z**2 + 26 - 26 + 87*z**2.\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 43721462101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 23*p**2 - 84*p + 143. Determine l(26).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5683 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (824\/(-48))\/1 - (-6 - 11). Let w = 405383\/17940 - -79\/1380. Let r = w - 45\/2. Which is the second biggest value? (a) 1\/6 (b) r (c) p (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/4*(15246\/44)\/(-77)?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 11*p**2 - 12*p - 4. Let f be s(12). Let q be (-9)\/2*f\/(-6) + -10. Let v(c) = -22*c - 15. Is v(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 677415 - -1?\nAnswer: 677416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4*k + 416 = 0. Let t be (2 - 1)\/(4\/k). List the prime factors of -2 + 0 - t\/(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2. Let o(x) = -415*x. What is o(h(z))?\nAnswer: -415*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**5 - k**4 - k**3 + k + 1. Let p(o) = 5*o**5 + 44*o**4 - 248*o**3 + 452*o**2 - 353*o + 104. Let i(n) = 2*g(n) - p(n). Factor i(m).\nAnswer: -(m - 2)*(m - 1)**3*(m + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 337.066 to the nearest 10.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-1) + 2 + 0. Suppose -1 = u*d + 2. Does 9 divide 18\/1 - (-1 - d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/4 - 970271*v\/2 - 941425813441\/4.\nAnswer: -(v + 970271)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*a - 40. Let n be a\/(-14) + (-2)\/(-4). Let k be 4*-2 - 35\/(-5). Sort 0.1, k, n, -3\/7 in decreasing order.\nAnswer: 0.1, -3\/7, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 4:21 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 143 and 88957.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**1*l)**(-1\/34)\/(l**(2\/11)\/l**(8\/7)) assuming l is positive.\nAnswer: l**(1104\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-4) - (-3)\/(-12))*-1. Suppose 5*b + 2*j = 90, -b + 3*j = -0*b - m. Suppose -236 = 2*f - 6*f. Calculate the remainder when f is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from uukkkkujjjjkkjujukj.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -463437 by -699.\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -267831646, -267831650, -267831654, -267831658, -267831662?\n\"Answer: -4*n - 267831642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 122*p - 43. What are the prime factors of j(14)?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 3\/745?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.009092ml to litres.\nAnswer: 0.002009092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 255007937?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 61*w + 11. Let d(n) = -60*n - 7. Let x(s) = -5*d(s) - 6*z(s). Find the first derivative of x(y) wrt y.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 526, 2371, 7466, 17437, 33910, 58511?\n\"Answer: 271*u**3 - u**2 - 49*u + 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22907 or 3.08?\nAnswer: -22907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l + 7*l + 2 + 2*l to the form w*l + j and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 128412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**4*x**(1\/2))\/((x\/(x\/x**(-6\/11)*x)*x)\/(x**(-3)*x*x)))**(2\/15) assuming x is positive.\nAnswer: x**(89\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 1\/11, 0, -0.5, 8\/119, -0.1?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21\/(4284\/(-24)) - 19\/(-17) - -142. Calculate the highest common factor of 77 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23001 (base 5) in base 7?\nAnswer: 4512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -41*x**7\/42 - x**5\/2 + 511*x**4\/3 + 1527*x. Find the third derivative of j(g) wrt g.\nAnswer: -2460*g**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 549*s + 6999. Let d be v(-21). Which is greater: d or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-18)\/(-84))\/(24\/28)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + 16*v - 50. Suppose -2*f - 3*f + 25 = 0. Solve -4*y = v*a - 13, a + f*y - 1 + 11 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15498910 to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/sqrt(2) + -2 + sqrt(13) + (2 + sqrt(13))*1)**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/((-1274)\/525) + 12?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 2*p**2 + 5*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3538\/22 + 6\/(-198)*-6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3\/4 - 459*p**2\/2 + 462*p.\nAnswer: -3*p*(p - 2)*(p + 308)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.7316 micrograms to kilograms.\nAnswer: 0.0000000027316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 2*n = -48. Solve -3*t + 5*t + n = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 695 and 18061243?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/6)\/k**(-4)*(k*k\/(k*k**(1\/4)))**28 assuming k is positive.\nAnswer: k**(149\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3 = -5*u - 7, -4*u = -4*q + 8. Let g be 20\/8 + 2*-1. Which is the closest to g? (a) u (b) 2\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -1\/5 (c) -1\/62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -4, 4, 0 in increasing order.\nAnswer: -4, 0, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -15749.2537 rounded to the nearest integer?\nAnswer: -15749","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -78891 divided by 3?\nAnswer: -26297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04505929 to 4 decimal places.\nAnswer: 0.0451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - (-112)\/(-60) - 12206\/(-30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**2 - f**2 + f**2 - 1 + 1 + f**2 + (-2 + 2 - f)*(3*f - f - 3*f) to the form m*f**2 + t + x*f and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 780801.3 milligrams?\nAnswer: 0.0007808013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 z when two letters picked without replacement from zeyezsz.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 4 - 3)*(-2894*d - 1206*d - 909*d + 1314*d - 3196*d) to the form h + r*d and give r.\nAnswer: 13782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -a4 (base 16) to base 10\nAnswer: -164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 10 = -h. Suppose 6*l = -16*l + 110. Sort h, 7, -4, l in increasing order.\nAnswer: -4, h, l, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14855471531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t + 36. What is the smallest common multiple of k(-8) and ((-3)\/2)\/((-3)\/48)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 40*o**4 - 25*o**3\/3 - 955. Let x(u) = -20*u**3 + 3*u**2. Give -3*k(a) - 25*x(a).\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(450)\/sqrt(10) - sqrt(5)) + -4.\nAnswer: -8 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + 3363*-1 + 3. Let x be (2 - 0) + (1 - c). Suppose -5*b + x = 5*l, -5*b - 3*l + 3370 = -0*l. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 2. Let u(v) = v**2 + 4*v + 3. Let h(l) = -31*l - 273. Calculate the remainder when h(-9) is divided by u(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9507261 by 2649.\nAnswer: -3589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8 + (2 - -4)\/2. Let o be 2\/(-14) - (1 + -1). Let t = -3\/458 - 110\/687. What is the closest to -2\/7 in a, t, o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-78)\/4)\/(-1 + -2). Let j = q - 7. Let g = -773\/124 + 232\/31. What is the closest to 0 in j, g, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20111125?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 0*i + 2*i)*(-7*i + 1 - 311*i - 210*i).\nAnswer: -1056*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -7*y**2 - 3*y - 2. Let a(c) = -3*c**2 - c - 1. Let f(o) = 5*a(o) - 2*p(o). Suppose -2*h = h - 45. Suppose -6*b = -b - h. Calculate f(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 - 182992*c**2 - 16126528*c - 354953984.\nAnswer: 4*(c - 45836)*(c + 44)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u + 4 - 4 + (-2 - 1 + 5)*((2 + 0 + 0)*(-u + 2*u - 4*u) + 32 - 38*u - 32).\nAnswer: -86*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 2*m**2)*(-2*m**2 + 2*m - 2*m) - 2*m + 2*m**4 + 2*m - 15*m**4 - 6 + 13413*m - 13413*m in the form t + w*m + a*m**3 + n*m**4 + s*m**2 and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z**2 - 5*z - 7. Let n(y) be the first derivative of -y**3\/3 - y**2\/2 - y + 113. Give -3*n(q) + u(q).\nAnswer: -q**2 - 2*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3622474 (base 8) in base 15?\nAnswer: 149167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/55 - -163\/110. Let 9\/2*l**2 + b + 3\/2*l**3 + 9\/2*l = 0. Calculate l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15221973 - -0.08?\nAnswer: 15221973.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 53, 80, 105, 128, 149?\n\"Answer: -d**2 + 30*d + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -982 divided by 4?\nAnswer: -491\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 97*y + 18062. Let w be i(-182). Solve -w = -25*s - 26*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p - 5*p + 0*p + (-48 + 61 - 44)*(0*p + 2*p + 3*p) in the form t*p + s and give t.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b + 2. Let x(g) = -1. Let f(l) = 4*x(l) + z(l). Let m(o) = -4*o + 3. Let d(p) = 6*f(p) + 4*m(p). Let k(c) = -43*c + 3. What is d(k(y))?\nAnswer: -86*y + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 329226.5 kilometers?\nAnswer: 32922650000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6629822?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10452 and 208.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -863*u**2 - 44*u - 7227481.\nAnswer: -1726*u - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5\/2))**(-6\/17)*(a*a**(-2\/19))**(2\/9) assuming a is positive.\nAnswer: a**(3143\/2907)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5*q = 25, 2*s + 5*q = 6 + 4. Suppose 5*f + 0 = -s. Let z be ((-1)\/2)\/(f\/(-10)). Put -1, z, 2 in increasing order.\nAnswer: z, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14 + (42\/24 - 9\/12). Suppose -o - 4*o = d, -21 = -c + 4*o. Calculate the lowest common multiple of c and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-3))\/(16\/78). Which is the second smallest value? (a) 4 (b) 0 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 5*h + 5*z, 33*z - 34*z = -3. Calculate the greatest common divisor of h and 407.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**12*j*j**22)**(-7\/12))**(-2\/53))**26 assuming j is positive.\nAnswer: j**(3185\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 329563449 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18181.\nAnswer: 18181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5066.\nAnswer: 2, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2041878 + 11420*k - 2041878)*(-k - 3*k + 1 + 2*k) as j*k + z*k**2 + l and give z.\nAnswer: -22840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*h - 7*h + 29 = 0, t - 4*h = 29. Let f = t - -127. What is the greatest common factor of f and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 223*y - 10795. What is o(-71)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 188631924 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, 3, 2, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/321 and -11 + 88\/80 - -4.\nAnswer: 3210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 1:58 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*m - 63*m = -32*m - 292. Solve 274 - 274 = m*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-78) - (-3 + 74\/26).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 - 514*y**2 - 8560*y + 42400.\nAnswer: (y - 530)*(y - 4)*(y + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from www. Give prob of picking 2 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-20))\/(11 - (-5263)\/(-475))?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -75.73 and 0.3?\nAnswer: 76.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 7\/38, -3\/5, 6, 1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -2 (c) -2\/3 (d) -5 (e) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/224 and 11\/966882?\nAnswer: 15470112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 25\/(-2)*(-20)\/(-25). Let u be (-2)\/(-7) - (-107)\/(-7). Let g = q - u. Solve -2*n + g + 5 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-6))\/((-17 - -11)\/108). Let q(c) = -5*c + 5. Suppose 2*a + 4 = -z, -6*z - a + 5 = -2*z. Let l(b) = 6 - z*b + 0*b - 4*b. Determine d*l(h) - 7*q(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 583268 and 2660.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11\/26 + 683\/78. Let f = l + -7. Factor -26\/3*q - f - 6*q**3 - 16*q**2.\nAnswer: -2*(q + 2)*(3*q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*((sqrt(98) + 0 + (sqrt(98) - sqrt(98)*-1) + sqrt(98))**2 + 1*(sqrt(98) + 0)).\nAnswer: -3134 - 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 630533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*t = 346*t - 173*t + 703 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/9)\/((-2)\/318*2). Suppose i*m = 100*m + 54. What is the smallest common multiple of 35 and m?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 23 = 3*z. Suppose 4*u - 2*g - 16 = 0, 5 = -u - 2*g + 14. Let s = 0.4 - 0.2. Which is the third smallest value? (a) s (b) z (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -875183, -875185, -875187, -875189?\n\"Answer: -2*h - 875181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.05 - 0.45. Let w = -0.1 - q. Let r be 2\/12*45\/6. What is the closest to 0 in r, -1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 + 8148*p**2 + 97560*p + 292464.\nAnswer: 2*(p + 6)**2*(p + 4062)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*f - 2 = -106*f - 54 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1666\/1176 + ((-15)\/(-2))\/(-5).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - p = 86, 0*y + 5*p - 98 = -4*y. Suppose -u + 0*j + 22 = -2*j, -5*j + 66 = 3*u. What is the least common multiple of y and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - x**2 - 1. Let z(g) be the third derivative of 7*g**6\/30 + 7*g**5\/12 + 35*g**3\/6 + 69*g**2 - g. What is -140*r(p) - 4*z(p)?\nAnswer: 28*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -120*t**3 + 39*t**2 wrt t?\nAnswer: -720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 12:37 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1122 divide 54528078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 804\/(-1365) + (-9)\/(-15). Let z = -173\/819 - o. Let l = -155 - -156. Which is the nearest to z? (a) 3 (b) l (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/14680 and -149\/44040?\nAnswer: 44040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*w + 3*w - 2*w**2 + 4*w to p*w + y + s*w**2 and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56678?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 w when two letters picked without replacement from {w: 8, f: 3}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -94\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3845 (base 14) to base 9\nAnswer: 14466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42323 + -222203?\nAnswer: -320031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10394430, -20788852, -31183274, -41577696, -51972118, -62366540?\n\"Answer: -10394422*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p. Let y(o) = -o**2 - 7*o + 27. Let a(r) = -2*n(r) - y(r). Let m be a(-12). Suppose -2*c - m - 1 = 0. Sort -1, c, 1 in descending order.\nAnswer: 1, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 15 - ((1 - (-6 - -3)) + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i - 2. Give r(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvrvoogggog. What is prob of picking 1 o and 1 g?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*k - 4654 = -1384, j + 6*k - 1116 = 0. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, l: 11, c: 4}. What is prob of picking 2 p, 1 l, and 1 c?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -23*t**2. Let v(w) = 189*w. Calculate v(i(z)).\nAnswer: -4347*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.09 + 0.27. Let x = -0.12 - q. Let l be 1 - 2 - (0 + 1). What is the third smallest value in x, l, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4776245.\nAnswer: 5, 421, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 129*p - 142*p**2 - 143*p + 10*p to w + d*p + v*p**2 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 5*n**2 + n - 1. Let v be k(5). What is the derivative of 0*c - 5*c + 0*c - v wrt c?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1424.4 - 1424. Put 3, y, 0.21 in descending order.\nAnswer: 3, y, 0.21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272942659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 13*v + 20 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -52, 2 in decreasing order.\nAnswer: 2, -1, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in -2, -1\/4, 0.18, -2\/7?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 94*p**2 - 3950*p + 4. What is c(42)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*k = -225*k + 2582 - 3014 for k.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (5 + -3) - (-16)\/14?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*v**4 + 2565*v**3 + 116345*v**2 + 170010*v + 56240 = 0. Calculate v.\nAnswer: -38, -1, -1\/2, 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 43861 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -26. Suppose -8 = 2*p - 4*d, 2*p + d + 0*d - 2 = 0. Suppose 5*y = 4*w - b, 5*w + p*w = -5. Let l(z) = -z**3 - 4*z**2 + 7*z + 3. Determine l(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**4\/m)\/m)**(13\/3)*(m*m*m*m\/m**(2\/5))\/m*m*m*m**5 assuming m is positive.\nAnswer: m**(274\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*z**2\/5 - 542*z\/5 + 36.\nAnswer: 2*(z - 90)*(3*z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3221.\nAnswer: 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 247595944?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -110 - 1593*k + 1592*k - 2344 to u + q*k and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + q**2 - q - 1. Let z be a(-1). Let v be z\/(-1) + (-20)\/(-4). Let n = 2 + 2. Is v equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -124330 + 0?\nAnswer: -124330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -4. Let x = -12200 + 12201. Sort -1, q, x in descending order.\nAnswer: q, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/15*-5*5\/(20\/(-12))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 + -1.9. Let a = 0.6 - g. Let l = -108 + 328\/3. Sort a, l, 1\/2 in ascending order.\nAnswer: 1\/2, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34593 and 156?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 410124404?\nAnswer: 2, 3517, 29153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0648, 5, 2.9 in increasing order.\nAnswer: -0.0648, 2.9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**5 + 20*u**4 + 84*u**3 + 92*u**2 + 32*u = 0. What is u?\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134 divided by 8.\nAnswer: 67\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2baf (base 16) to base 13.\nAnswer: -5123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 8:48 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -83, -101, -147, -233, -371, -573, -851?\nAnswer: -1217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t**2 + 2*t**2 + t**2)*((4*t - 2*t - t)*(4 + 1 - 6) + 2318*t + 801*t - 1596*t).\nAnswer: -3044*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 537884?\nAnswer: 2, 134471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1747210 is divided by 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (-16)\/(-64)*12. Sort w, 6, 28 in decreasing order.\nAnswer: 28, 6, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 15*w + 4. Let n(z) = -14*z - 3. What is 6*n(i) + 5*v(i)?\nAnswer: -9*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 1219.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g**(-2\/3)*g)\/g))**(2\/11) assuming g is positive.\nAnswer: g**(10\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s - 10*s - 14*s = 255 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -293530, -587095, -880660, -1174225, -1467790?\n\"Answer: -293565*h + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 36*c - 167. What is v(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 451*r**2. Let d(n) be the second derivative of -19*n**3\/6 + 12*n + 142. Determine d(x(p)).\nAnswer: -8569*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 + 0 + 0. Let y(r) be the third derivative of r**5\/15 - 28*r**2. What is y(u(t))?\nAnswer: 16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - (2 - 16)) + -14\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1549035 divided by 145\nAnswer: -10683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18012*t**3 - 796*t**2 + t - 24526773?\nAnswer: -54036*t**2 - 1592*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3 + (-2*sqrt(104)*5 - sqrt(104))\/((sqrt(320)\/sqrt(10))\/sqrt(4))*-1*5.\nAnswer: -3 + 55*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*l**4 + 3*l**3 + 101*l?\nAnswer: -72*l**2 + 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/6*2\/(-24*(-5)\/90).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1549*w = 4413 + 4881 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 127956214 and 16?\nAnswer: 1023649712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 14) + 8 - 5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1487*y + 1488*y - 10 = -i, 38 = 4*i + 2*y. Let w(p) = p**2 - 12*p + 10. Let k(d) = 5*d**2 - 61*d + 49. Let h(u) = 2*k(u) - 11*w(u). Determine h(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 154 + -1080\/7. Suppose -1 = g + 1. Let f = 0.2 - 0.2. What is the closest to f in d, g, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-90))\/(124\/(-1922) - ((-26)\/(-558) + 0))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**3 + c**3 - 3*c**4 + 2*c - 1 - 4*c**3 - c**3. Let a(n) = -4*n**4 - 2*n**3 + 2*n - 2. Let j(w) = -2*a(w) + 3*b(w). Let j(k) = 0. Calculate k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 7 + -2 + 4 + -7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -3660?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 346, -297, -1360, -2843, -4746, -7069, -9812?\nAnswer: -12975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40013340 (base 6) to base 9.\nAnswer: -2088756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -3. Let u(x) = 4*x + 2*x**2 - 4*x**2 + x**3 - 8*x + a. Suppose -8 = 11*c - 41. Calculate u(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*b + 21*b - 268*b**2.\nAnswer: -268*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p. Let a(o) = -145*o - 1. Calculate u(a(m)).\nAnswer: 435*m + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 11) to base 15.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22721626 is divided by 3663.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -29 (b) 58\/59 (c) -0.3 (d) -2.6 (e) -5 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*s - 5250 = 17*s. List the prime factors of s.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h = -p + 8*h + 7, 4*p + 4*h = 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67 + -63. Suppose -q = 2*g - 707, 0 = 5*q + t*g - 2*g - 3503. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 216*j**4\/11 + 90*j**3\/11 - 114*j**2\/11 + 14*j\/11 + 2\/11 = 0. What is j?\nAnswer: -1, -1\/12, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from xbexoxoxoxoxxeeoxx?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**3\/7 - 17*j**2\/7 - 3186*j\/7 - 3168\/7 = 0. Calculate j.\nAnswer: -48, -1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 661.619071 to 0 decimal places.\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 842 - 843 - 1196*t**2 + 1434*t**2.\nAnswer: 238*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*c*t**3 + 275*c*t**2 + 2*c*t - 2*t**5 wrt t?\nAnswer: 108*c - 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*t**4 - 545*t**3 + 2540*t**2 - 1780*t - 2480 = 0. Calculate t.\nAnswer: -2\/3, 2, 4, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 - 12 - 606*u**2 + 52 - 22 as j*u + a + x*u**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 48 = -0*u + 2*f, 0 = -u - 4*f + 64. Calculate the remainder when 572 is divided by u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -3*g - 3*u + 2*u, -2*g - 3*u + 5 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1234 - 454?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 61\/165?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71255 is divided by 10177.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1277620, 1277622, 1277624?\n\"Answer: 2*u + 1277618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 87040 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 340915541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35770*x**4 - 44*x**3 + 4579640*x.\nAnswer: 429240*x**2 - 264*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.774 + 0.074. Let b = 1.3 - a. Let y = 33 + -32.98. Put b, 1\/4, y in ascending order.\nAnswer: y, 1\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -116249, -116257, -116269, -116285?\n\"Answer: -2*r**2 - 2*r - 116245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.5 in 1\/7, 68.7, -5, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.0543 + -0.0157. Let a = h + -10.94. Round a to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a10a (base 12) in base 8?\nAnswer: 163032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1037 is divided by 665?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 141, -70, -491, -1230, -2395, -4094, -6435?\n\"Answer: -18*d**3 + 3*d**2 - 94*d + 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -0.2 (b) 4.4 (c) -0.01 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1067 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -497991 less than -497991?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 324700 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -3*q**4\/4 + 4*q**3\/3 - 7. What is the third derivative of g(t) wrt t?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -187*u**3 + 0*u + 8 + 212*u**3 + 0*u to t*u**2 + z*u + d*u**3 + x and give d.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -2108630740 to the nearest one hundred thousand.\nAnswer: -2108600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4\/3 (b) -122 (c) 151\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 2*m + 0*m)*(-1 + 7 - 2)*(1 + 5 - 4)*(-1 + 1 - 3*m + (-2 - 1 + 6)*(-m + m - m) + 2*m + 0*m - m + 4*m - 3*m + m).\nAnswer: -72*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 834, 853, 900, 987, 1126, 1329, 1608, 1975?\n\"Answer: 2*p**3 + 2*p**2 - p + 831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -97.20033 + 97.2. What is l rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -25240, -50487, -75734?\n\"Answer: -25247*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q*u**3*z**3 + 3*q*u**3 + 30*q*z**2 + 10*u**4 + 2*u**2*z + 3*u*z**3 wrt u?\nAnswer: -12*q*z**3 + 18*q + 240*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 59*n + 22. Let w be u(17). Suppose -5*t + 740 = 3*b, 4*b - 2*t = -t + w. Let i be (3 + 2)*6\/b. Which is greater: 0.2 or i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/8)\/1)\/((-15)\/210).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 6*d**2 + 7*d - 1. Let h be (-399)\/(-9) - (-3)\/((-36)\/(-8)). Let q = h - 38. What is y(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25789 - -25892. What is the lowest common multiple of (-16)\/(-6) - 6\/(-18) and n?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 7*d**3 - 7*d**2 + 8*d + 5. Let b = 144 - 141. Is x(b) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c**2 - 3*c - c + 5*c**2 - 2*c**2 in the form y*c + r*c**2 + v and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20452 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 8*j**2 + 10*j + 32. Let p be f(-14). Let w be (2275\/p)\/7 + 2\/(-8). Does w = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -57 + -1366866?\nAnswer: -1366912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 441.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 240209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3803, -7609, -11421, -15239?\n\"Answer: -3*d**2 - 3797*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1355 divide 337395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -49, -98, -147?\n\"Answer: -49*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 + 68*z**2 - 290*z.\nAnswer: -2*z*(z - 29)*(z - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 18*p**2 - p + 19. Let m be g(18). Differentiate 46*k**2 - m - 78*k**2 - 53*k**2 - 29 wrt k.\nAnswer: -170*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eea when three letters picked without replacement from vvieiagzezevvieze?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -704 - -704.998. Let l = 0 + 1. Let k = l - y. What is k rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**2 + 2*b + 599493. Let z(y) = -5*y. Determine u(z(w)).\nAnswer: -50*w**2 - 10*w + 599493","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 112 + 640. Suppose 2*q - v = -2*q. What are the prime factors of q?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.091 + 1.091. Let l = 4 - 8. What is the smallest value in z, 0.4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0431 and 9.\nAnswer: 9.0431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29844075 is divided by 4463.\nAnswer: 4457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + 13 - (-31 + 55)) + 87.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 562910599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -0.5920262?\nAnswer: -1.1840524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/4 (b) -0.04 (c) -75 (d) -5 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-261)\/(-58) - 1\/2. Let f be ((-3)\/(-9))\/(c\/312). Let g(a) = 3*a**2 + a + 1. Let u be g(-1). Solve x + 4*v - f = u*x, 2*x - v = -11 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/6, 18, 304 in decreasing order.\nAnswer: 304, 18, -1\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v**2 + 3*v - 260. Let w(l) = 6*l. Calculate h(w(a)).\nAnswer: 144*a**2 + 18*a - 260","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 166.557 to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -596 + 596.32. Is v < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*u + 45 - 33. Suppose -2*k - 9 + 4 = -5*l, -2*k + u = -3*l. Solve -s = -3*c + c + k, -c + 3*s = 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 520842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-160)\/128*(-3)\/10.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -2*t - 476. Calculate the greatest common factor of t and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t - 3*t + 5*t)*(-3 + 3 + t) - 12 + 3*t**2 + 12 + 2*t + (t + 2*t - 2*t)*(9*t - 27*t + 16*t) to the form g + n*t**2 + f*t and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -19*r**3 - 8*r**3 - 20*r**3 + 73*r**3 - r - 27*r**3. Let i(v) = 50*v**3 + 5*v. Give i(n) + 5*k(n).\nAnswer: 45*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (-6 + (3 - 57) - -7)) + 9 + -11?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 0 + l**4 + 4\/3*l - 5\/3*l**3 - 4\/3*l**2 = 0.\nAnswer: -1, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -7. Let n = 1.8 + 2.6. Let l = -4 + n. Which is the closest to -1\/4? (a) l (b) -2\/15 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/62, 408, -8\/7, -5, 3, 4.\nAnswer: -5, -8\/7, 1\/62, 3, 4, 408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.87028 to three decimal places.\nAnswer: -0.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 9:40 AM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of 0 - 2\/15*m**7 + 0*m**4 + 40\/3*m**3 + 0*m**6 + 0*m + 190*m**2 + 1\/60*m**5. Differentiate n(a) with respect to a.\nAnswer: -112*a**3 + 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2516351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 502\/5 - 100. Which is the smallest value? (a) 5 (b) d (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100403508.\nAnswer: 2, 3, 8366959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*z = 100*z. Solve z = -2*i - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 6:10 PM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 15*f**2 + 24*f - 22. Let i be h(-13). Let v(q) = -i + 9*q - 8*q + 0*q + 15. Determine v(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1557.528 - 306904.\nAnswer: -305346.472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7925?\nAnswer: 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 9*q**2 + 6*q - 8. Let n be m(-8). Let c(l) = -n*l + 2*l + 5 + 4*l**2 + 7*l + l**3. Determine c(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w**2 + 3*w - 1 - 4 - 8*w**2 + 2*w**3 - 3*w**3. Determine z(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -14 + -32 + 27.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert ad (base 16) to base 15.\nAnswer: b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5603113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -51181 * 0.12975\nAnswer: -6640.73475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -m**3 + 10*m**2 - m + 2. Let u(v) = -v**2 + 7*v. Let x(t) = 8*u(t) - 3*z(t). Let n be x(4). Solve -d + 4 = n*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.02 from -0.063938.\nAnswer: -0.083938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 7:49 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**2 - 17*l + 14. Give a(-8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0578 and -270.\nAnswer: 15.606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 370, 5, -16291 in increasing order.\nAnswer: -16291, -4, 5, 370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 566*j + 5. Let s(n) = -n. What is h(s(d))?\nAnswer: d**2 - 566*d + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 16.3 (b) 2\/13 (c) -29 (d) -1\/6 (e) 3 (f) -62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3713 + 213 = -28*a. What is the remainder when 472 is divided by a?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3338.\nAnswer: 2, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2326954810 plus -252?\nAnswer: 2326954558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + i + 8 = 0, 10*i - 11*i + 22 = l - 11*i for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.6 - 26.4. Let q = r - -20. Let t = q + 11. Sort -1, 6, -3\/2, t.\nAnswer: -3\/2, -1, t, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 49, 148, 339, 652?\nAnswer: 1117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -32*o**2 + 0*o**3 - 1\/21*o**7 - 67*o - 2\/5*o**6 + 0 + 19\/3*o**4 + 1\/10*o**5. Find l, given that x(l) = 0.\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11456 and 895.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*sqrt(2299) - sqrt(2299)).\nAnswer: -33*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2. Let n(o) = o - 9. Let r(h) = 1. Let s(f) = 4*n(f) + 36*r(f). Give c(s(m)).\nAnswer: 32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28438710524 - -0.08.\nAnswer: 28438710524.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43209691 is divided by 14403226?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 17*l + 47. Sort -4, -5, 35, l.\nAnswer: -5, -4, l, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**8\/(t*t**(-2\/9)*t))\/(t*t**8*((t**(-2\/13)*t*t)\/t)\/t))**43 assuming t is positive.\nAnswer: t**(-13201\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.19, 1, -1, -0.3?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 4*j - 3. Let q = 6 - j. Solve -6*u + q*u = -6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -6*l + 4*l - 7*l. Let y(m) be the second derivative of -2*m**3\/3 - 35*m + 6. What is -3*v(j) + 7*y(j)?\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 144 + 115. Suppose -l*s - 643 = -260*s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33876?\nAnswer: 2, 3, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**2 + 16*d + 26. Give m(-6).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 + -48. Which is bigger: n or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**3 - 648*m**2 + 1284*m = 0.\nAnswer: 0, 2, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 11:05 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -339*h - 27169226523 + 27169226523.\nAnswer: -339*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.1 + -7. What is the closest to n in 0, -1\/3, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p - 60473 = -60528 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2790, 11507, 26036, 46377, 72530, 104495, 142272?\n\"Answer: 2906*u**2 - u - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-13 - -14) + (-1)\/1. Suppose 2 + 6 = 4*t. Suppose n = 4*y - 4, t*z - 4*y = 4*z + 2. Put 3, z, 0 in descending order.\nAnswer: 3, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9566, 38320, 86260, 153386, 239698, 345196, 469880?\n\"Answer: 9593*q**2 - 25*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 0 (c) 371.1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 502.12701 microseconds?\nAnswer: 0.000000139479725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47605*v**2 - 1797*v - 1 wrt v?\nAnswer: -95210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 451503 is divided by 149951?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*v = -0*v + 13, -v = 1. Let f = -5 - l. Solve -4*i + 16 + 0 = f for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 * 6\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 9*v + 5. Let h(j) = -j**2 + 10*j - 6. Let t(f) = 6*g(f) + 5*h(f). What is d in t(d) = 0?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 6 + -2 + -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 13*m - 6 = 0. Let s be (-6 - -6) + (m - -6). Suppose 0 = s*d + 4*i - 47, -4*d = -4*i + 20 - 92. What is the greatest common factor of d and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 88*f**2 - 10*f - 1567. Let h(q) = -92*q**2 + 11*q + 1565. Let l(p) = -2*h(p) - 3*z(p). What is the first derivative of l(j) wrt j?\nAnswer: -160*j + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x**3 - x**2 + 1. Let p be a(-1). Suppose 0 = -p*i - d + 1984, 2*d + 1586 = 4*i + 4*d. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1832?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.29 - 148328.989941.\nAnswer: -148341.279941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -66, -85, -106, -129, -154, -181?\nAnswer: -210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 535\/75 - 5 - 4\/30. Let t be w\/12 - 3\/36*-58. Solve t*r = -0*r - 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/14*30 - 28\/(-686)*14\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/128 + 303\/588 and -27\/28.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 7. Let g be (2\/(-4))\/(k\/42). Solve -g*q - 6 - 2 = -o, 4*o - 16 = 4*q for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 8:58 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**4 + 1824*z**3 - 277248*z**2.\nAnswer: -3*z**2*(z - 304)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-2) - (-233)\/2. Let v = 578\/5 - t. Which is the third biggest value? (a) v (b) 1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 112.9456.\nAnswer: 56.4728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (36\/27)\/(3\/3078) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 16*i + 14. What is the hundreds digit of z(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*n - 218*f = -220*f - 164, -2*f = 3*n + 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.39 - 1.38. Let x = 0.11 - h. Let r = x - 0.9. Is r bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166814617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.9 + 0.8. Let k = -0.89 - 0.11. Which is the closest to k? (a) 0 (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 20 = 5*u + 5, 2*a = u - 3. Let t(i) be the second derivative of i**3\/6 - i**2 - 9*i. Give t(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 24*b - 26*b - 1, 4*x + 5*b - 30 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16632 + 1562233568.\nAnswer: 1562250200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n + 1. Let s be 11\/2 + 3\/6. Let h(q) = 4 - 3 + s*q - 3. Let r(a) = a. Let w(g) = h(g) - 8*r(g). What is 4*c(i) + w(i)?\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/1*(-174)\/1392)\/(13\/(-10)).\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -10.4. Let y = i + -0.8. What is the closest to 0 in -2\/19, -1\/3, y?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**3 - v**3 - v**3)*(-27 + 58*v + 27).\nAnswer: 116*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 1:42 AM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**2\/5 + 151*c - 10800 = 0 for c.\nAnswer: 80, 675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 107546966*k*w + 637417432*k wrt w?\nAnswer: 107546966*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r + a - 17 = 18*r, -3*r - 13 = -2*a for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 41114*b + 164472. Give l(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-20\/3)*o**(-1)*o**(2\/41)*o**(-21) assuming o is positive.\nAnswer: o**(-3397\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 280229572 to the power of 1\/2, to the nearest integer?\nAnswer: 16740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(-12)\/432*-9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/((-15)\/(-10)*1\/((-24)\/(-128)))?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-4) - 1)*(-12)\/18.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*y**2 - 5*y**2 + 14*y**2 + (-1 + 1 + 8)*(0*y**2 + 0*y**2 - 5*y**2) - 2*y**2 + 3*y**2 + 0*y**2 to h + p*y + j*y**2 and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 101111111011 (base 2) in base 8?\nAnswer: 5773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 442 = 4*n + 3*k, 0 = -5*k - 10. Is n less than or equal to -111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 - 55. Suppose -5*l + 11 + 59 = 0. Calculate the lowest common multiple of o and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 990449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o. Let m(l) = -463144*l. Determine m(k(c)).\nAnswer: 1852576*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.612001059 - 1.612. Round m to 7 dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-11) - (-324)\/(-891).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 4*a**2 + 4*a - 3. Let b = 2706 + -2700. Calculate h(b).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*p - 12. Let o be 126\/(-28)*(-4)\/9. Let f(l) = 44 + 0*l - 40 + l**o - 5*l - 2*l**2. Give f(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41870490?\nAnswer: 2, 3, 5, 17, 19, 29, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 12 (b) -110 (c) -0.8 (d) -5 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 153144 divided by -25524?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 269913075 to the nearest integer?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcpcpppoccpcocpooccp. Give prob of sequence cp.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -5*x**2 + 3*x + 3. Let q(m) = 4*m**2 - 2*m - 2. Let i(y) = 2*n(y) + 3*q(y). Let g(o) = -o**2. What is g(i(k))?\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17399.983797 - -2.546203. Let p = 17317.5243 - g. Let a = 85 + p. Round a to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**40\/v*v*v**(-8\/5)\/v*v**(-7)*v**(-9\/7)*v assuming v is positive.\nAnswer: v**(1054\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 3, 26, -4, -0.089, 1\/4, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1928625 by -385725.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1009?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13, -127, -367, -707, -1147?\n\"Answer: -50*o**2 + 10*o + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -12*x - 1. Calculate the remainder when 91 is divided by c(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155175335.\nAnswer: 5, 7, 4433581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and -28963984.\nAnswer: -173783904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 94051833?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**(-11)))**(-1\/18)\/((p**(3\/14)*p)\/(p**(-1\/4)*p*p)) assuming p is positive.\nAnswer: p**(289\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36682, -293962, -992458, -2352778, -4595530, -7941322, -12610762?\nAnswer: -18824458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-4 + (0 - -2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -7*z + 17. Let f(a) = -2*a + 4. Let d be 4 - (21 + 7) - (-1 - 1). Let o(v) = d*f(v) + 6*k(v). Let q(j) = 2*j**2. What is o(q(w))?\nAnswer: 4*w**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.094011507 to 4 decimal places.\nAnswer: 0.094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + 0. Suppose v*g - 146 = 2*o + 128, -3*g + 183 = 5*o. Let l be 8\/g + 0 + 1. Is 1 at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 8:53 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*((-5)\/(-60)*6)\/(3\/(-6)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.02 + -0.02. Let y be (128\/(-4) + 7)*2\/(-10). Which is the second smallest value? (a) -5 (b) 45 (c) y (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 25*z**2 + 25*z - 2. Let d be k(-26). Let b be 3 + 139 + (-6)\/(-3). Suppose b = 3*t + t. What is the highest common divisor of d and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -15148\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 68, 100, 132, 164?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 10 = -2*b, -5*b + 3*w + 17 = w. Solve 3*t = -2*t + j - 10, -4*t + 3*j = -b for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 115.7 - 116. Let u be (-2)\/(-8) + (-33)\/36. Sort -2\/9, 10\/3, v, u.\nAnswer: u, v, -2\/9, 10\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -737*j**2*u - 63*j**2 - 2692858*j*u wrt j.\nAnswer: -1474*u - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 8:17 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n**4\/6 + 25*n**3\/6 - 5*n**2\/2 - 25*n\/6 + 10\/3 = 0. Calculate n.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 16210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0421 + 0.\nAnswer: -0.0421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 22*z - 5. Let l(t) = -t**3 - 6*t**2 - 5*t + 2. Let a be l(-5). Find the common denominator of -101\/8 and o(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 2*w + 3*w)*(54 - 43 + 42)*(0 - 3 + 2).\nAnswer: -53*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2341441 (base 5) in base 8?\nAnswer: 124553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**4 - 823*c**3 + 47627*c**2 + 77937022 with respect to c.\nAnswer: -8*c**3 - 2469*c**2 + 95254*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22? (a) -13 (b) 6 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.816 + -4.356. Let r = -3.14 - j. What is the fourth biggest value in 1\/5, 13, r, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.95 + 0.05. What is the third biggest value in 0.3, x, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -40961 - 57?\nAnswer: -409b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 408 - 407.9406. Round a to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1, 382, -20, 2\/9, 3.3?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 118476923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*g = 33. Let w(m) be the second derivative of m**5\/20 + m**4 + 7*m**3\/6 - 5*m**2 - 7*m. What are the prime factors of w(g)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -4*b + 280, -b - f = 2*b - 197. Suppose -5*z - w = -999, 8*z - 3*w - 125 - 1501 = 0. Calculate the highest common factor of z and b.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4*z - 25 = -9, 5*z = -2*c + 15. Is (1 - 4)\/((-1)\/c) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1331) + -4 + sqrt(1331) + 4)**2*-5*-5.\nAnswer: 532400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 - -0.30011. What is n rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 6*b - 42. Let z be v(8). Let q be (1 - 6\/z)\/(-2). Solve 4 = -4*o - q for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 39, 31, 21, 9?\n\"Answer: -l**2 - 5*l + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*y - y**2 - 12*y)*(y**3 + 5*y**3 - 3*y**3).\nAnswer: -3*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 1:51 PM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than or equal to -418414?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4923 and 547.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 18*y - 62. Let q be n(13). Solve 44*s - 47*s**q + 41 + 81*s**2 - 33*s**2 + 12*s**5 - 81 - 9*s**3 - 8*s**4 = 0 for s.\nAnswer: -2, -1, 1, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 648491906?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 - (11\/(44\/(-80)))\/2. Let m(u) be the second derivative of 0 + 0*u**4 - 1\/2*u**2 + 0*u**3 - 1\/10*u**p - 5*u. What is the derivative of m(t) wrt t?\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2635184 a multiple of 872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 7*o**2 + 7*o - 3. Let x be w(6). Suppose 0 = x*l - 2*l - 2. Suppose -l = -j + 1. Solve 0*n = -j*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 431 + -5610\/13. Let k = 38569\/8 - 4830. Calculate the common denominator of k and f.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 14, -17, 1, -4, -14 in descending order.\nAnswer: 14, 8, 1, -4, -14, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s. Let n(o) = -3*o**2 + o - 1. Let c be n(-2). Suppose -4*i + 57 = j - 4*j, j = -i + 23. Let r be (i\/c)\/(5\/(-25)). Give k(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -i**5 + 5*i**4\/4 + 65*i**3\/3 - 125*i**2\/2 + 60*i - 431. Factor p(j).\nAnswer: -5*(j - 3)*(j - 1)**2*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/11 and -45\/35963?\nAnswer: 395593","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + z + 1. What is v(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2538337\/171 or -14845?\nAnswer: -2538337\/171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h + 1. Let m be d(1). Suppose -l + 22 = 4*b, -5*b + l = 3*l - 29. Suppose -b*x + 11 = -2*a, -7 = x - 8*a + m*a. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 369*i**2 - 586*i - 590. Give x(-1).\nAnswer: 365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2475679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 18 = -4*m + 2, -5*x - 4*m = -29. Sort x, 8, -3 in descending order.\nAnswer: 8, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 342521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/((-3)\/(-7))*-1. Let a(f) = 2*f**2 + 4*f. Let y be a(v). Suppose 0 = -2*j + y - 22. What is the remainder when j is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 8.\nAnswer: -5, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (38\/(-4) - -8)*(1 - -1). What is the biggest value in p, 2\/17, 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*j**3 + 108*j**2 - 40036*j wrt j?\nAnswer: -246*j + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l - 8. Let p be k(6). Suppose 4*q - 68 = 4*z - 16, -p*z - 24 = -2*q. Let n = 34 + q. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pm when two letters picked without replacement from {f: 3, p: 11, m: 1}?\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 13) to base 12.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 13*z**2 - 14*z - 4. Let r be s(14). Let g be (r\/25 + 0)\/((-12)\/(-30)). Sort 2\/13, 1, -1, g in decreasing order.\nAnswer: 1, 2\/13, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 157 - 153. Solve -2*f = -0 + u for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y + 3. Calculate j(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (3 - 48\/(-14))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71050065 less than -858?\nAnswer: 71049207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5851020 and 6686880?\nAnswer: 46808160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - 0 - ((-13 - -17) + -11 + 5).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 3*x + 189 = 184, 4*y - 5*x = -7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -181 - -91?\nAnswer: -a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 - -340367413?\nAnswer: 340367425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a64377 (base 11) in base 10?\nAnswer: -5247249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(133)*1 - sqrt(133)) + sqrt(133)) - sqrt(133))\/(sqrt(7) - (sqrt(7) + (sqrt(112) - sqrt(7)) + sqrt(7) + sqrt(7))*-1).\nAnswer: 4*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 817541 - 602403 = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20556 and 36?\nAnswer: 20556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, s: 3, a: 4, u: 4}. What is prob of picking 1 a and 2 s?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssq when three letters picked without replacement from {x: 3, o: 1, z: 1, s: 7, l: 1, q: 7}?\nAnswer: 49\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4985, 5071, 5219, 5429, 5701?\n\"Answer: 31*z**2 - 7*z + 4961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/5))**39*(f**(2\/3))**(-2\/43)*((((f\/f**(3\/8))\/f)\/f)\/f*f\/(f\/((f\/f**(4\/3))\/f)))\/(f\/((f**(1\/5)\/f)\/f))**(20\/9) assuming f is positive.\nAnswer: f**(-395693\/15480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/6930 and -9\/413.\nAnswer: 408870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 10 = -3*q + 24, -5*j = q - 28. Let y(d) be the third derivative of d**4 - 7*d**3\/6 - 103*d**2. Does 7 divide y(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 3:56 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d - 2. Let n be c(-5). Suppose w + n = 4*w. Let b = 2 - -2. Solve b*l + 5*z = -2 - 25, l + z + w = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/18 - 978\/(-27). Suppose 2*r + 3*j + c = 4*r, 0 = 5*r + 2*j - 109. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*z - 122*z = -952. Put 5, -5, z, 3 in ascending order.\nAnswer: z, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(384)*-2))\/(sqrt(14)\/(sqrt(847)*-1 - sqrt(847) - sqrt(7))).\nAnswer: 23*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + sqrt(19) + 3).\nAnswer: 6 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346*k = 267*k + 1551*k + 149316 for k.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15742732 + 295*k - 317*k - 15742732.\nAnswer: -22*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 3:48 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7369 - 29260 + 7328 + 3*w - w + 7314 + 7591.\nAnswer: 2*w + 342","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.8*37\nAnswer: -29.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1132642561?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 122*i*o**3 - 12*i*o**2 - 4 wrt o.\nAnswer: 732*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (16 - 6 - 1)*(-2454 - 235*w**3 + 2454)*(-2*w - 1 + 0 + 3) as l*w**4 + o + y*w + v*w**3 + z*w**2 and give l.\nAnswer: 4230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 97820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 323 - 323 - (-5 + -1 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5989697 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2. Suppose 0 = -3*l + 2*l + 8. Suppose 0 = l*b - 6*b. Let t(j) = b*j**2 + 0*j**2 + 4*j**2 - 3*j**2. What is m(t(g))?\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-18)*(((-78)\/15)\/1)\/((-116)\/(-580)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 8*m - 43. Let l = 14 + -8. Let a be g(l). Sort a, -2, -3, -4 in ascending order.\nAnswer: -4, -3, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/23858 and -75\/604?\nAnswer: 47716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1000021021200201 (base 3) to base 8\nAnswer: -67221210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 5*h + 5. Let z be q(-4). Suppose 0*d + 3*d + 9 = 0. Let p be d\/5*4\/(-18). Is p < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (93 + -101 - (-5 - 1)) + (8 - 1). Let t(y) = -3*y**3 + 2*y**3 - 5*y**2 + 2*y**3 - y. Give t(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.66 - 1968.740093.\nAnswer: -1968.080093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**2 - 2899374*b - 14496920 = 0 for b.\nAnswer: -5, 1449692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of u**9\/37800 - u**8\/8400 + u**7\/6300 - u**4\/4 + 3*u. Let q(a) be the third derivative of l(a). Factor q(x).\nAnswer: 2*x**2*(x - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10.69071 - 99.68681. Let q = -84.57 + -4.43. Let f = c - q. What is f rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 1. Let l be j(-1). Let u = 0 + 0.1. What is the closest to l in 0, -1\/4, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56d5 (base 14) in base 4?\nAnswer: -3223223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 7 - 5 - 20 + 3*v**3 + 26.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 23 - 477*2\/42. Factor -2\/7*y**2 + 8\/7 + 8\/7*y - c*y**3.\nAnswer: -2*(y - 2)*(y + 1)*(y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 2.90388?\nAnswer: -2.40388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53*-6.115.\nAnswer: 324.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**2. Let t(j) = -4*j**2 - 6*j - 1. Let p(z) = -5*z**2 - 4*z - 1. Let o(d) = 3*p(d) - 2*t(d). What is o(r(s))?\nAnswer: -28*s**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 4779*u - 1.\nAnswer: 4779*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011011001 (base 2) in base 3?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hcc when three letters picked without replacement from {g: 4, h: 4, c: 3}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 4, -9.\nAnswer: -9, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a - 38930?\nAnswer: -3894a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 + 221100?\nAnswer: 221002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -5*y + 478, -4*y = 4*h - 78 - 290. Solve 93 - y = -o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 64 = 2*j. Calculate the remainder when j is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ihhz when four letters picked without replacement from heeeihdzeezzzzezz?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 30, 7, -11, -5 in ascending order.\nAnswer: -11, -5, 0, 7, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -2*m - z, 246 = 3*m + 5*z + 81. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1049150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/29)*i)**(-31) assuming i is positive.\nAnswer: i**(-837\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 876 and 118824?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21631 by -226.\nAnswer: -21631\/226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(125) - sqrt(125)*-2) + sqrt(125) + sqrt(125)*2 + 3 - -4*-1*(sqrt(125) + -1*sqrt(125)))**2.\nAnswer: 120*sqrt(5) + 4504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 5*l + 5, 33 = 3*w - 3*l. Let r = 3 + w. Suppose -55 = 2*i - 2*p - 175, 0 = 3*i - 4*p - 175. Calculate the greatest common divisor of i and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12093157?\nAnswer: 2617, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k + 5*k - k.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/27 or 0?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3713\/556 + 10\/139. Suppose 4*u = 4*c + 3*u - 912, -2*c + 5*u = -456. What is the common denominator of h and c\/(-32) - (-1)\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30\/(-45)*(-39)\/(-2). What is the units digit of (-21)\/35 + b\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -10, 33, 118, 251, 438, 685, 998?\nAnswer: 1383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194448049?\nAnswer: 23, 127, 66569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pbpo when four letters picked without replacement from {p: 6, i: 4, o: 2, b: 1, m: 2}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 78487 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -2122102211?\nAnswer: 2122102221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -1\/12, 0, -0.4, -1, 7, 6\/7, 2\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-56)\/(-14) - 115\/(0 + -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 245*h**4 - 105228130*h**3 + 11298547251305*h**2 + 83936420501700*h + 155884619884500 = 0.\nAnswer: -26\/7, 214755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15051 and 2249?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 2770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 194031690 divided by 15\nAnswer: 12935446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - z + 5*z - 18 = 0, 5*w = 5*z. Let i be (-4)\/6 - (-41)\/w. Solve c - i = -2*n, 4*c - 24 = -3*n + 2*n for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 44 = 6. Calculate the remainder when l is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11280560119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1809 + -2279a?\nAnswer: -20e91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 185*f**3 - 541?\nAnswer: 555*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p + 5*p - 2*i - 30, -2*p = 5*i + 31. Let c = -145 - -413\/3. Which is smaller: c or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l + 126. Let w(j) = -6*j + 118. Let m be w(18). What is the hundreds digit of n(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -154, 4, 1, -5, -3.\nAnswer: -154, -5, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**5 + q**5 + 3*q**5 + (28 + 7*q**4 - 28)*(-4*q + 4*q - 2*q) + 0*q**5 - 2*q**5 + 0*q**5 - 14*q**5 + 3*q**5 + q**5.\nAnswer: -25*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - 364. Let z = h + 385. Calculate the greatest common factor of 19 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 202 = -3*q, -5*q + 270 = 3*f - 85. Let k = q - 53. Is 20 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12395 is divided by 125?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((92\/69)\/(6\/1))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -954247, -954248, -954249?\nAnswer: -954250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*n + 2610 = 111*n. Let w = -3389\/4 + n. Calculate the common denominator of w and 1\/(-3) - 137\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -22047, -88187, -198421, -352749, -551171, -793687, -1080297?\n\"Answer: -22047*k**2 + k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*v + 3662 - 3676 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 3*n**2 - 2*n + 6. Let y be i(3). Let s = -6003\/17 + 353. Which is greater: y or s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 4:53 AM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19394 is divided by 9520?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-15) - (-3)\/(-5)*6. Calculate the common denominator of 149\/36 and (36\/v - -5) + (-37)\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5*l**2. Suppose 0 = z + o, -3*z - 2*o + 2 + 0 = 0. Let r(v) = 0*v**2 - 3*v**2 + 3*v**2 - 7*v**z. Calculate r(t(h)).\nAnswer: -175*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010000 - -10101110011011001?\nAnswer: 10101110100101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1451, -2910, -4369, -5822, -7263?\nAnswer: -8686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 8:14 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -3*m + l, 4*m + 94*l = 93*l + 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 times 7?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 458490 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 44 + (2 - 2) - 46\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3726 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**2 + 1017*a**3 - 1050*a**3 - 3*a**2.\nAnswer: -33*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 158 + -141. Suppose 545446 = v*x + 5*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/117300 and 45\/697?\nAnswer: 4809300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10943.79 + -11021. What is k rounded to zero decimal places?\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*p + 0*p - 5*p + (-1 + 0 - 3)*(6*p - 11*p - 8*p))*(-4 + 4 + p) to q + k*p + r*p**2 and give r.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 6:26 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1797929.\nAnswer: 7, 419, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2 + 472*h + 480. Let v(q) = -3*q**2 + 468*q + 479. Let p(x) = 8*r(x) - 6*v(x). Factor p(b).\nAnswer: 2*(b + 1)*(b + 483)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6833694 is divided by 5047.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-7 + 5 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/720079 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-104)\/(-910)*(1 - 6)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -11*r**3 - r**2 + 5*r + 7. Let q(z) = 5*z**3 - 2*z - 3. Let m(x) = -4*n(x) - 9*q(x). Give m(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 + 0)\/3 + (1 - -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 3*i + 35. Let b be g(-7). Find the second derivative of -39*w**3 - 2*w - 29*w**3 + 7*w**3 + b*w wrt w.\nAnswer: -366*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412 a factor of 6435610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*b - 109*b + 122 = 15*t, -t + 3*t + 60*b = -23*b - 3814 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -29*u + 15. Let r be t(10). Let p = r + 122. Is p\/(-4) + 1\/(-4) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u\/(u\/(u\/(u*u\/(u*u**3)))))))\/((u*u**(-1))\/u))\/(u**(-1\/3))**(28\/9) assuming u is positive.\nAnswer: u**(136\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18 - -2?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 378*83448.\nAnswer: 31543344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/1232293837?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 5*z + 9. Suppose k + 3*i = -3, 0*k - 24 = -2*k + 4*i. Suppose -5 + 0 = -5*o, o = 5*w - 39. Calculate the remainder when m(k) is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 31*c**2 + 5*c - 11. Let z(f) = 6*f**2 + f - 2. Let q(m) = -2*w(m) + 11*z(m). Let j be q(-1). Let g(i) = 2*i - 1. Calculate g(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 278, 14 in increasing order.\nAnswer: 5, 14, 278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 292c + 0?\nAnswer: 292c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -2) + 2 + 0. Let k = -15.8 + 15.17. Let v = 0.7 + k. Which is greater: v or f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 + 2 = -2*r - 11*s + 10*s, 18*s + 86 = 5*r for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*q + 58, 4*q - 22*g = -20*g + 110. Solve 0 = -5*d + q - 3 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 5 + 5. Suppose o + 342*n = 337*n - 8, o = -3*n - 4. Solve -i - o*q = -g*i - 3, -4*i - 4*q = -36 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 4*v - 3. Let t be z(-2). List the prime factors of 3\/((-9)\/(-21)) - t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 7. Suppose -s*g + 282 = 114. Calculate the remainder when g is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 8 = -1. Let v(f) = 5*f - 3. Suppose -12 = -4*q + 2*g - 6*g, 3*q = 2*g + 9. Let u(i) = i. Let a(n) = q*u(n) - v(n). What is a(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 30181878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -95.936 rounded to 1 dp?\nAnswer: -95.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21409200 divided by 4560.\nAnswer: -4695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1340437810.\nAnswer: 2, 5, 134043781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1384547.8 - -1\nAnswer: -1384546.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 125 = -2*m - 3*b + 127, -2 = 8*m - b for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(15)\/(-2*sqrt(45)).\nAnswer: -sqrt(3)\/6 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 9:25 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 + 8237798*v**2 - 16475590*v + 8237794.\nAnswer: -2*(v - 4118897)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**2. Let t(l) = -27*l**2 - 5*l. Let v(u) = u. Let b(k) = -t(k) - 5*v(k). Determine b(o(f)).\nAnswer: 108*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1)**31\/(k**(-3\/4)\/k**(-6))*(k*k\/k**(2\/3))**(-10)\/(k\/(k**1\/k))**(3\/5) assuming k is positive.\nAnswer: k**(709\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 p when two letters picked without replacement from mhcpppip.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2080801 is divided by 104037.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249*n - 2 - 81*n + 2 - 171*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 5*a + 6. Let d be (0\/(-2))\/(1 + 0\/2). Let o be d + (-4)\/(-10) + (-112)\/(-20). Let r be t(o). Sort -4, r, 3 in increasing order.\nAnswer: -4, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2311725000 rounded to the nearest 1000000?\nAnswer: 2312000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -803 - -815. List the prime factors of ((-1035)\/c)\/((-24)\/480).\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yqyw when four letters picked without replacement from qwqqqyyqyyq?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -5*l + 5, 0 = -3*l - 25 + 40. Let i be (v\/8*4)\/((-5)\/14). Solve 16 = i*q - 26 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 56\/(-7) - -8 - -7. Let r(q) = q + 4. Calculate r(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/(-1*sqrt(810)) - (sqrt(1377) + -1 + 1))**2.\nAnswer: 114308\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = 52*j - 57*j. Suppose 4*b + 0*b + t = -j, 0 = -2*b - 2*t - 20. Let a(g) = -g**3 - 5*g**2 + 5*g - 6. Determine a(b).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/12)\/(20\/600) - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 508062048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 + 2*g**2 - g**2)*(-3 + 3 - 2*g) - 4*g**3 + 5*g**3 + 0*g**3 + (13*g - 30 + 30)*(3*g - 3*g + g**2).\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1394406?\nAnswer: 2, 3, 13, 59, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/8*(-12)\/(-14). Let w = -2 - 2. Let u = 13.9 + -14. What is the closest to u in w, -0.4, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/((-14)\/12) + -1. Suppose w + b = -2*x, 4*w + x = -1 - 5. Let z be (w - (-2 + 2))*-4. Solve z*f + f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 198 and 297.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-6) + 0)\/(1\/(-10)). Suppose -8 = -3*f + 5*h, 0 = p*f + h - 59 - 1. What is the greatest common divisor of 77 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -3 + (6 - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-5\/3)\/(q**(-13)*q) assuming q is positive.\nAnswer: q**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 857 + -857. Solve -5*m - 23 + 33 = p for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002403518 to 7 dps.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11921\/2544 - 234\/53. Let v = s - -1\/16. What is the nearest to v in 2\/9, -5, 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 3. Suppose 246*f - 119*f = 122*f. Sort -2, -4, w, f in ascending order.\nAnswer: -4, -2, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -41.9. Let y = 29.3 + -4.3. Let b = y - l. What is the biggest value in 2, b, 1, 0.7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -204.318 - -0.818. Let i = b - -64.4. Let j = 132 + i. Round j to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 4*z**2 - 6)*(4*z**2 - 3*z**2 - 3*z**2)*(112*z + 5913 - 5913).\nAnswer: -896*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.092 * -0.1\nAnswer: 0.0092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -55*w**3\/6 - w. Is s(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1713606416 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1658526.72646 + 5\nAnswer: -1658521.72646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1. Let b(h) = -3*h**2 - 3*h + 2. Let q be b(2). Let m be (-5)\/(-15) - q\/6. Solve f = -r - m*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/((-432)\/(-6)))\/(5\/(-30))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 + 777*b**2 - 768*b - 1548.\nAnswer: -3*(b - 258)*(b - 2)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 times 6087422.4\nAnswer: 730490.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**2. Let m(c) = 144*c**2. Give q(m(k)).\nAnswer: -41472*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19239630*i**6 + 15112642*i**2 wrt i.\nAnswer: 2308755600*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -5*d**2. Let g(x) = -197*x. Determine -g(a) - n(a).\nAnswer: 5*a**2 + 197*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -3, -4, -13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z + 4. Let t be o(2). Let q = 4 - t. Factor -1\/2 + 1\/4*c + 1\/4*c**q.\nAnswer: (c - 1)*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23105 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.83 + 4.6. Let z = 0.079 - 0.609. Let j = z - m. What is the third biggest value in 0.3, -14, j?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w**2 - w. Let n be a(1). Suppose -4*y + n = -17. Solve -y*b = -8 - 7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1650015*u - 572628?\nAnswer: -1650015","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 + 48 + 13 + 3*k**2 + 10)*(-336*k - 145*k - k)*(-2 + 2 - k) to the form r*k + h + d*k**4 + a*k**2 + o*k**3 and give d.\nAnswer: 1446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of 3\/2*o**3 - 1\/12*o**4 + 0 + 3*o**2 - 107*o. Give f(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1220 and 7198.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 + 296*v**2 - 7216*v + 58080.\nAnswer: -4*(v - 30)*(v - 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 minus -1677?\nAnswer: 1695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -461, -3855, -13067, -31007, -60585, -104711, -166295?\n\"Answer: -485*b**3 + b**2 - 2*b + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 4. Find the second derivative of 0*w**2 - 3*w**i - 2*w + 0*w**2 wrt w.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2*h - 28196, -27322 + 97807 = 5*h - 5*u. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31 at least as big as -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.33157, 0, 0.1.\nAnswer: -2.33157, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -78*23\/(-138) - 25?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, a: 4, k: 2, n: 2}. Give prob of picking 2 l.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 131 + 19*a - 131 to the form f + b*a and give b.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5*z**2 + 15*z + 20. Let n(k) = -16*k**2 + 44*k + 60. Let i = 216 + -226. Let b(h) = i*p(h) + 3*n(h). Suppose b(o) = 0. Calculate o.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2590 (base 10) to base 12\nAnswer: -15ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -132 - -2?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-7)*h)\/(h**(-1\/12)\/h*h))**(-4\/15)\/(((h\/(h*h*h**3*h))\/h)\/(h**(-2)*h))**(-47) assuming h is positive.\nAnswer: h**(-10684\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 6*w**3 - w - 1. Let z be p(-1). Let k = z - -8. Let j(a) = -k*a**2 + 5*a - a**3 - 5*a**2 + 5*a**3 - 3*a**3 + 3. Give j(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 17*v - 15. Calculate the remainder when t(12) is divided by (-130)\/(-8) + 3\/(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 q when two letters picked without replacement from {f: 5, l: 1, q: 4}.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 239.2 - 273. Let o = -34 - f. What is the second smallest value in 5, o, -18\/13?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -301 - -304. Suppose x*r = -8*r - 33. Let c(u) = 3*u + 3. What is c(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 109133 + -109104.0071. Let p = 27.3 - -1.7. Let z = p - h. Round z to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 7*l**2 + l - 3. Let k = 10 + -3. Let z be j(k). What is the second derivative of -5*r**4 - 5*r + r**4 - r**4 + r**z wrt r?\nAnswer: -48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 219?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 522 a factor of 2231894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*r**2 - 40*r**3 + 14*r**3 + 465*r**2 + 24*r**3.\nAnswer: -2*r**3 + 595*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a**1\/a))\/(a**(-7)\/a))\/(a**(-2\/19)\/a**8))\/((a**(1\/3))**(-37)*a\/((a**8*a)\/a)*a*a\/(a*a**7)) assuming a is positive.\nAnswer: a**(2419\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 49 divided by 234553\nAnswer: 49\/234553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 54896951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -105 bigger than -103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.11 (b) 1.7 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 162, 144, 122, 96?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqvvvvv. What is prob of sequence qv?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 + 0.4. Let i be 18\/(-3)*-1 - 0. Let d be i + (-1 - (0 - -1)). Which is the nearest to o? (a) 1 (b) d (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -282, -281, -280?\nAnswer: -279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 12, l: 7}. What is prob of sequence leee?\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 757\/4 + -191. Let k = -1\/4 - f. Do 3 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 3*s - 6. Let u be l(5). Suppose -u*p + 1115 = p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 6:24 AM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.015471517 rounded to three decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.3, 3, -3\/14, -9, -0.116 in decreasing order.\nAnswer: 3, 0.3, -0.116, -3\/14, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 8. Suppose -o = -7*h + 19. Let g be (h\/(-6))\/(4\/(-16)). Solve -4*d = -g*r - 22, -2*d + 1 = 5*r + 2*d for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*q = 124*q + 6. Suppose 4*w + 20 = 3*z + 2*w, -8 = z + 3*w. Let v = -234 - -1873\/8. What is the third smallest value in -2, z, q, v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.023? (a) -0.3 (b) -26 (c) -7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 43056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/67, 13, -1, -5\/3, 1\/5 in ascending order.\nAnswer: -5\/3, -1, 2\/67, 1\/5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 147*c - 2*c**2 - 145*c + 4*c**2 as a + x*c + b*c**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iqijsqysyiqjiiijyjo. Give prob of picking 2 i and 1 y.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(28)\/sqrt(4)*6 - -5*(sqrt(7) + 1)).\nAnswer: -22*sqrt(7) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 98*w**5\/5 - 486906*w**4\/5 - 13008162*w**3\/5 + 5902786*w**2\/5 + 6513264*w\/5 + 215784 = 0?\nAnswer: -27, -2\/7, 1, 4995","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 60\/2909?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -7. Let t = 10 - 5. Suppose -2*v - t = 3*k, -4*v + 9*v + k = 20. Solve b = -2*x - v for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1195 divide 406709885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 3 - (-10 + 8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 250002758 or 250002763?\nAnswer: 250002758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -72*l**2 + 1504*l + 4418. Determine x(-3).\nAnswer: -742","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4150479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2282538859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 76558\/5454 + (-7)\/(-2)*-4\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 852139 is divided by 69.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146104?\nAnswer: 2, 7, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 126*m + 97*m + 90*m + (-5 + 2 + 1)*(-1 + 1 + 2*m) - 3*m + 4*m + 0*m as u + f*m and give f.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 334450 and 120402?\nAnswer: 3010050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5*(8\/(-3) - -2). Let a = -0.06 - -0.56. What is the nearest to 1 in p, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -12317427?\nAnswer: -12317422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 366434 to the nearest integer?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26209564177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 336 = 8*u + 7*u. Let t(o) = -o**3 - 20*o**2 + 20*o + 8. Determine t(u).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53932 is divided by 117?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of (-819)\/(-15) - (-9)\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -5*f + 93, 6*f - 70 = 2*f + c. Let l = 28 - f. Let q = l - 4. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*l**3*n**3 - 2442*l**3*n**2 + 23*l**3*n + 187*l**2*n**3 + 20*l**2*n**2 + 4*l*n**3 - 3*n**2 wrt l?\nAnswer: 48*n**3 - 14652*n**2 + 138*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/2*1\/((-40)\/8).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -25 + 2 + -4 + 0. Put -2, j, 2 in increasing order.\nAnswer: j, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 4*h**2 + 7*h - 1. Let y(a) = 15*a + 19. Let s be y(-1). Is 9 a factor of q(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*a = 41*a + 16. Suppose -7*j + 3*j = -180. What is the remainder when j is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v - 1. Let l(j) = -5*j - 4. Let x(z) = l(z) - 4*t(z). Let y(f) = 39*f + 43*f - 72*f. What is y(x(i))?\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 331917 to the power of 1\/2, to the nearest integer?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 620 = 3*k - 8*k, 5*x + 640 = 5*k. Let a be 4\/k*(-49)\/(-21). Let l = -3 + 2. Which is smaller: l or a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 1407?\nAnswer: -703.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 892, -0.1, -514, -1, 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-30)*-1*(-35)\/2*(-2175)\/725.\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(2) + sqrt(16)\/(sqrt(24)\/sqrt(3)).\nAnswer: -2 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -t**2 - 30692*t + 122784 = 0.\nAnswer: -30696, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 6:25 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/3)\/(28\/21 + -2). What is the tens digit of (1857\/(-6))\/(m\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 91803.48um?\nAnswer: 91803480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*k = 123836 + 176698. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -7*v - 42. Let w be b(-10). What is the second derivative of -185 + 184 - 46*f + 20*f - w*f - 118*f**3 wrt f?\nAnswer: -708*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 32 = -2*x. Let c be -1 - -6 - (5 + -2). Factor -1\/3*n**x + 0 + n**c - 2\/3*n + 0*n**3.\nAnswer: -n*(n - 1)**2*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62619 is divided by 294?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 1143666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -16*s**3 + s + 6. Is 33 a factor of d(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14134 - 24323?\nAnswer: -44012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -4. Let l be (242\/(-115) - -2)*-2. Let c = l - -9\/23. What is the third smallest value in c, -3\/5, b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 4. Suppose 4 = -3*x - 5*v, -9 = 5*v + f. Suppose 14 = -x*p + 2*b - 6*b, 3*p - b = 14. Calculate the highest common factor of 9 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 + -26. Put -1, d, -8, 2 in descending order.\nAnswer: d, 2, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 60 + 18 = 0. Suppose 0 = -4*m - m - 10. Let c(w) = 11*w**2 + 3*w + 2. What is the remainder when c(m) is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27854149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 809 divide 87266830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*q**2 + 23*q**2 - 45*q**2 to the form o*q**2 + z*q + x and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 486693 - -217748. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a day in seconds?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70675514?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/((-324)\/(-153)) + (11 - -8) + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 793861 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 323 + -2587\/8. Suppose -5 = -r + 1. Which is the second biggest value? (a) r (b) p (c) 5 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1738464449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-2)*(37\/(-370) - 7987\/(-1470)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 7*g + 6. Let n be t(6). Let d be (-4)\/10 + (-24)\/(-10). Suppose d*s = 2 + 4. Solve n = -s*w - w + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -21420244?\nAnswer: 21420242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -568 (base 10) in base 7?\nAnswer: -1441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42545357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -20007*c**2 + 7722*c + 3861. Let p(d) = 5*d**2 - 2*d - 1. Let r(m) = -2*h(m) - 7722*p(m). Let z(u) = -5*u**2. Give r(z(f)).\nAnswer: 35100*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*n = -25001, 5*n - 68442 = -5*k - 6002. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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: -17295684 divided by -4\nAnswer: 4323921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52 + -86. Let x = -271\/8 - n. Let r = -0.2751 - 0.0249. Which is the third smallest value? (a) x (b) r (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/35? (a) 0.13 (b) -6154 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275087?\nAnswer: 275087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 89*n + 4*n**2 - 47*n - n**2 + 2 + 3 - 46*n. Give o(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 - 22. Let z be (-1)\/2*(-6 - (-18)\/l). Solve -5*s - 12 - 8 = z for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20238 divided by -6\nAnswer: -3373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 57, 84, 111, 138, 165?\n\"Answer: 27*k + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -4*p - 10. What are the prime factors of r(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s - 2*s**2 - 3*s**4 + 2*s**4 - 13 + 12 to the form r*s**3 + h*s**2 + j*s**4 + o*s + v and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -131*p**4\/8 - p**3\/6 - 4*p**2. Let u(y) = 5*y - 1. Let r be u(-1). Is q(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 483.24 less than 2\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 540\/(-360)*(-17956)\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 392 and 207368?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 0. Suppose -11 = q + o*t, -5*t + 4*t = 2. Let w be 2 + (-38)\/18 + 38\/171. Which is the smallest value? (a) w (b) -1\/3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 309724 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2295*l + 536*l - 1293*l)*(0*l - 2*l + l).\nAnswer: 3052*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -487 = -81*n - 112 + 273. Solve -4*d - n = 0, -3*c + 23*d = 18*d - 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -1 - (2016\/(-2240))\/((-2)\/4)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -80, 0, 1, 2 in increasing order.\nAnswer: -80, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11023.\nAnswer: 73, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 3*k**2 + 3*k - 3. Suppose 0 = -85*p + 420 - 165. Calculate q(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 216 and 1656?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - z = -33, -174*n - 19 = -172*n - z for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8880.14 millimeters in meters?\nAnswer: 8.88014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2716 - 143. Let s = -1403 + i. Suppose -7*z = -2*z - s. What is the smallest common multiple of z and 2?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 119482*f**3*m**2 + 48*f**3 - 782*f**2*m wrt m?\nAnswer: 238964*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -286 + 265. Let w = -0.071 + -4.929. Sort 5, d, w in descending order.\nAnswer: 5, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 518551 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**9*h*h\/((h*h*h*h*h\/(h*h**(-2\/21))*h)\/h))**(-4) assuming h is positive.\nAnswer: h**(-580\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 332 and 398732?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*f - 107*f = 44. Calculate the highest common factor of f and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/100 + 98\/25. Let l(y) = -y**3 - 6*y**2 + y + 6. Let a be l(-6). Find the second derivative of a*h - h - 3*h**3 + t*h wrt h.\nAnswer: -18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 30 = 4*q. Let w be q + 1*(4 - 7). Let z = 20 + -17. Which is the nearest to z? (a) 2 (b) -3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -126 + 134. Suppose -26 + d = -2*u + 5*w, 0 = -5*u + 3*w + 45. What is the least common multiple of 18 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b + 6. Let o(h) = -h - 5. Let c(a) = 6*o(a) + 5*s(a). Let q(u) = 21*u. What is c(q(w))?\nAnswer: 84*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -7*a**6\/24 - 2*a**5\/15 + 3*a**2. What is the third derivative of x(r) wrt r?\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 100\/(-15)*(18\/(-15) + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1133)\/(-33)*-15*((-66)\/(-5) + 2). What is k rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xnn when three letters picked without replacement from nnxynyaxyyg?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 548992 and 5504?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 0*a**3 - 5 + 31*a**3.\nAnswer: 31*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 10:44 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3\/473 + -6014\/21285. What is the common denominator of a and -151\/30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 884*j - 1739. What is l(2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 87 + 7. Let s be (f\/235)\/(2\/10). Solve -r = -s*c + 10, 0*r - 4 = r for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0 - 3 = 0. Factor 12 + 7*x**2 + 45*x**2 - 47*x + 3*x - 30*x**l + 10*x**3.\nAnswer: -4*(x - 1)**2*(5*x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*g - 5*v, 2*g + v + 7 - 1 = 0. Let a be 3*(-5)\/(-120)*(-2)\/g. Put -0.2, a, -0.4, 0.3 in decreasing order.\nAnswer: 0.3, a, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10427 - 9509 = -54*j for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.05 - -0.75. Let z = 0.7 - k. Put z, 0.5, 1\/3 in descending order.\nAnswer: 0.5, 1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 5*s, 2*s + 10 = 3*s + 4*s for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 654882667152*t + 39*t**3 - 654882667152*t + 7*t**2.\nAnswer: 39*t**3 + 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 5*u**3\/6 + u**2\/2 + u. Let o be (-2)\/(-4)*0 - (5 + -6). Calculate the remainder when r(o) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.05 - 1.95. Let j = 0.0172 - -2.4128. Let r = j + -2.23. Put -4, c, r in descending order.\nAnswer: r, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8450301 + 8450301 + j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-20)\/15)\/(((-10)\/(-9))\/5). Which is the nearest to 1\/4? (a) -0.1 (b) 1 (c) 4 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z + 3*z + 40 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j - 28. Let f(k) = 4*k + 70. Let a(i) = 2*f(i) + 5*y(i). Let g(d) = -1036*d. Determine g(a(x)).\nAnswer: 2072*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*w + 139 + 125 = 0 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h - 8. Let c be i(-11). Suppose -4 = u - 5*u. Suppose -u = -2*v + c. Is 0 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 - 74. Let f = v - -70. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -2.6. Let b = 1.3 + p. Let t = b - -4.1. What is the closest to -0.3 in -4, 0.5, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -43? (a) -2 (b) 0.4 (c) 0.7 (d) -4\/5 (e) -240.41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 9:34 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - o + 1. Let a be d(-2). Let c(x) = 7*x**2 - 2*x - 1. Let n be c(a). Solve -20 = -n*g + 3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/15)\/((-4950)\/(-4125))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**4 + g**4 - 2*g**4)*(2 + 7 + 2).\nAnswer: -11*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 8380.\nAnswer: 8380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 6, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q - 61 = -6 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*m - 17*m - 102230 = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(132)\/sqrt(3)*6 - sqrt(44)))\/(1*sqrt(4)*3*-6) + -2.\nAnswer: -2 + 25*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 133237850 to the nearest integer?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -122147 * -7\nAnswer: 855029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2046*a - 25854. Calculate t(-12).\nAnswer: -1302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -704, -720, -736?\n\"Answer: -16*n - 688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -464852.461 rounded to the nearest 10?\nAnswer: -464850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1300)*2 + -4 + sqrt(1300) - 6*(sqrt(1300) - (1 + sqrt(1300)))))**2*-2.\nAnswer: -210672 - 2160*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -85*a**2 - a + 42. Let v be n(-6). What is the units digit of 1\/(-5) - v\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 46*p**2. Let c(s) = 32293*s. Calculate c(j(r)).\nAnswer: 1485478*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*y + 114*y - 672 = -3*y. Solve -10*l + y*d = -15*l - 9, 2*l = -d - 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, v: 17}. Give prob of picking 3 v and 1 h.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-17 - -2)\/(6\/(-4)). Suppose f = -5*d + 25. Solve 36 = -4*l + 5*y - y, 4*l + 1 = -d*y for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 202654 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 x = -1.6 - -2. Let k = 45.5 + -45. Which is the nearest to 0? (a) x (b) k (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317161 bigger than 6026033\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 184406263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = n + 2*o + 2*o, 5*n = -4*o + 22. Suppose n*v = -3*j + 278 + 3, 148 = v + 3*j. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6468644.\nAnswer: 2, 7, 13, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u - 3. Let v be z(-2). Suppose 3 + v = 2*m. Differentiate 2*r**3 - 4 - m*r**3 + 2*r**3 with respect to r.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -9e6b?\nAnswer: -9e68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212021110 (base 3) to base 13.\nAnswer: -7953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 - 100110?\nAnswer: -11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, s: 2, e: 4, v: 3, p: 2}. Give prob of sequence mpv.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 24 = -a, 0 = -5*k + 2*a - 6*a + 36 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(7488) + 4.\nAnswer: 4 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 112 times 0.09\nAnswer: 10.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + (-7 + -2)\/(-3). What is p rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3931 + 5654. What are the prime factors of d?\nAnswer: 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 221 and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5.68 * 0.05\nAnswer: 0.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of 0 - 7\/6*t**3 - 3*t**2 + 0*t + 1\/60*t**5 - 1\/6*t**4. Let x be y(6). Solve 4*h - 3 = -b, x*h + 0*b + 10 = -4*b for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ou when two letters picked without replacement from oxguugpooupuopuopp?\nAnswer: 25\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -13*(-16)\/156 - (0 - -3). What is the third biggest value in y, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-7)*(-1)\/(-2) + -3. Sort m, -35, -1 in decreasing order.\nAnswer: -1, m, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 4*w**2 - 4*w + 7. Let i(q) = 4*q - 1. Let j(c) = c**3 + 8*c**2 - 9*c - 1. Let a be j(-9). Let s be i(a). Give m(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -1.5. Which is the third biggest value? (a) -0.3 (b) m (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/28 and 167\/1512.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5 + 3 + sqrt(98) + 4)*-4.\nAnswer: -43 - 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -22*n**2. Let o(w) be the first derivative of -7*w**3 + 78. Calculate t(o(j)).\nAnswer: -9702*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-3 + 203\/70)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*t**5\/5 - 18*t**4\/5 + 18*t**3\/5 - 6*t**2\/5.\nAnswer: 6*t**2*(t - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/2 (b) 4 (c) -3 (d) 2.6 (e) 3\/227\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 995 and 1393.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kyyk when four letters picked without replacement from {k: 4, y: 6}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y - 78 = 17. Suppose 0 = 2*d + d + y*w - 35, -d + 7 = -3*w. Solve -4*n - 20*n**2 - 12*n - d - 6*n - 5*n**3 - 3*n = 0 for n.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45293?\nAnswer: 45293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4444? (a) 5 (b) 0.5 (c) -1\/4 (d) -9 (e) 1.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -13*x**7\/105 - 15*x**3\/2 - 2*x**2 + 41. Differentiate w(u) with respect to u.\nAnswer: -104*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-28)*j**(-32))\/(j**(-30)\/j*j)**(-2) assuming j is positive.\nAnswer: j**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 96539837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47.32856 - -45.129. Let r = 0.14 - -2.06. Let k = r + b. What is k rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -37*p**5\/60 + 10*p**2. Let n(s) = s**2. Determine o(n(j)).\nAnswer: -37*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16982346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/4)\/(g\/(g*g**1)*g))\/(g**(-1\/6)*g**4) assuming g is positive.\nAnswer: g**(-49\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 166, 163, 160, 157, 154, 151?\n\"Answer: -3*b + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 1808*b + 7. Let m(h) = 2*h**2 + 5425*h - 18. What is -8*i(c) - 3*m(c)?\nAnswer: 2*c**2 - 1811*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 11 + 737*o + 21.\nAnswer: 737*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52102, 104217, 156332?\nAnswer: 208447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m. Let h be 0\/(0 - 4) + 4. Suppose -5*g = -5*t - 20, -t - h = -3*g + 4. Let c(k) = g*k - k - 5*k + 2*k. What is p(c(w))?\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u = -74*u + 496 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -7 + 12 + 10\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 504 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -1. Let v = 48 - 32. Let c = -16.06 + v. Is c at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2. Let a(t) = 603*t - 16. Let n(g) = 1807*g - 56. Let c(o) = 14*a(o) - 4*n(o). Give r(c(b)).\nAnswer: -1473796*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15935 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*b + 5. Is -2 + 56 - (b + -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) -2 (c) 2 (d) 0.4 (e) -271\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccjr when four letters picked without replacement from rchrcjcrrkrhhkjr?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9200)\/(-1288) + 12\/14.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1568)*-3 - (sqrt(1568) + -4 + 4)**2) + -1 + -3.\nAnswer: -1571 - 84*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 10 = 2*d, -53570*d + 52 = -53558*d - 4*t for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ey when two letters picked without replacement from {e: 1, y: 5, n: 4}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41179 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 308.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*f**2 - 55*f**2 + 71 + 3*f**3 + 17 as m + x*f + p*f**3 + o*f**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from juujuujujuju. Give prob of picking 2 j.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01247865 times -0.5?\nAnswer: 0.006239325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**5\/7 + 51*a**4\/7 - 135*a**3\/7 + 25*a**2\/7.\nAnswer: -a**2*(a - 5)**2*(5*a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/4, 216, 0.5, 43, -2\/23?\nAnswer: 216","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 0, 4, -3, 5569 in descending order.\nAnswer: 5569, 5, 4, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*o - 20 = 0, 2*f - 7 = -0*o + o. Let v be f\/12*(-8)\/110. Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.108 + 6.\nAnswer: 6.108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56172.0169996 - -56172. Let h = v - -0.017. Round h to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3*o + 20 = -o, b + 20 = -4*o. Suppose -2*h + b*h = 0. Determine s so that -1\/2*s**4 - 1\/2*s**2 + h + 0*s - s**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -4\/9, -4, 1, -122?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 10 = 11*m. Solve -4*t - 3*q = -q + 10, 0 = -m*t - 2*q - 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -12. Suppose 1 = c - 2. What is the remainder when o is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) -1\/127 (b) 0.9 (c) -71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2155 + -2?\nAnswer: -2157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -318702.9999604394 - -318703. Round f to 7 decimal places.\nAnswer: 0.0000396","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 42, 2, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.35 * 273311.\nAnswer: -368969.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + (sqrt(931) - (sqrt(931) + 0))**2) + ((sqrt(931) - (sqrt(931) - (sqrt(931) + (1 + sqrt(931))*-1) - sqrt(931))) + -2)**2.\nAnswer: -42*sqrt(19) + 916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 340, 274, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1450)\/15 - (-4)\/6. Let q be ((-18)\/(-4))\/((-4)\/v). Suppose 3*l = -l + q. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -19, 1\/7, 5.\nAnswer: -19, 1\/7, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 610*g**3 - 33 wrt g.\nAnswer: 1830*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**3 - w**3 + 2*w**3 + (4*w**3 - 4*w**3 + w**3)*(4 + 8 + 1).\nAnswer: 14*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22122 (base 4) in base 8?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-1))**(-2\/37))**(-24))**(-13) assuming q is positive.\nAnswer: q**(624\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 44 - 166 = 0. Let q be (27 - -1) + 0\/1. What is the highest common factor of q and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -362, 4, 5, -136 in decreasing order.\nAnswer: 5, 4, -136, -362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*x = 157, x + 3 - 7 = 0. Solve c + 56 = n for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2352 + 41*m + 2352 in the form a + u*m and give u.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 2. Suppose b*s + 0*s - 5 = 0. What is the remainder when s is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 488227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -5 + -9 + 12\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 1, -43?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -67*h - 1605. What is the smallest common multiple of 1015 and q(-24)?\nAnswer: 3045","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**6\/1260 + h**5\/35 + 3*h**4\/7 + 7*h**3\/3 + 15*h**2. Let t(c) be the first derivative of f(c). Suppose t(z) = 0. What is z?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -351 + -3. Let z = f - -563. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 18*u - 656. Determine y(37).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 9, 3*t + t + 3*v - 25 = 0. Suppose 5*m - 100 = -5*a - 0*m, 2*m = -t*a + 74. Calculate the remainder when 31 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1254, 11, -3, 8, -2 in descending order.\nAnswer: 1254, 11, 8, 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-9)\/15)\/((-3)\/100). Solve -2*b + v + 17 = -5*b, -2*v = 4*b + d for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 66.54.\nAnswer: -19.962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/12)\/(12\/(-18)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/1718 and -53\/194.\nAnswer: 166646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 43 = -23. What is the remainder when t is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*f - 6, -4*d = -f + 4. Suppose -h - 2*u = d, 10 = -0*u - 2*u. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8924*j + 8938*j - 17869*j.\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010841 to three dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**5 + 2*j**5 + 10*j**5 + (2 + 0 + 0)*(2*j**5 - 4*j**5 + 4*j**5).\nAnswer: 16*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 32*s. Let n(t) be the second derivative of -t**3\/2 + 2*t. What is d(n(r))?\nAnswer: -96*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (1 + -1 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 10 = -5. Differentiate -2273*y**4 + 2 + 4*y**r + 2335*y**4 - 4*y**3 wrt y.\nAnswer: 248*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 4*z = 72, 6*o + 43856 - 43836 = 26*z for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 93 + -75. What is the lowest common multiple of f and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 + 6*y**2 - 3*y**2)*(47 - y**2 - 47 - 6*y).\nAnswer: -3*y**4 - 18*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -144589, -578359, -1301307, -2313433?\nAnswer: -3614737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -o**4\/2 - 5*o**3 - 6*o**2 + 5*o - 105. Suppose -126 = -3*q - 0*q. What is the remainder when v(-8) is divided by q?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d**2 + 199*d - 522. Let k be w(47). What is the second smallest value in 257, k, 0.3, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) + -2)*5 + sqrt(425) + -3 + -1 + sqrt(425))**2 + (-4 + 1*sqrt(425))**2*5.\nAnswer: -1180*sqrt(17) + 23226","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*k = -3*t + 34, -5*k + 17 = t. Suppose g - 3*g = -t. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 784 + -374. Let j = 1152 - r. Suppose -j = -10*q + 948. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 2*f + 9 + 13, -4*v = -4*f - 24. Solve v*c + 4*h - 20 = -h, 0 = -5*c + 5*h - 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.03525, 7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -9\/11 (b) 5 (c) -0.3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -349 = 56*c + 211 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/((-6)\/(-2))*2\/30*7630\/(-218)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*v - 21, 0 = 3*x - 4*v - 7 - 24. Let z(b) = 5 + 3*b**2 - b**3 - 2*b**2 + 3*b**2 + 5*b. Let r be z(5). Solve r*c - o - 40 = 4*o, 3*o = -x for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23342 (base 6) to base 16.\nAnswer: d2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5343 and 43977.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2180.\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**3 + 16*r**2 + 21*r - 21. What is a(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39089733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63 + 90. What is o in 0*o**2 - o**3 - 15 - 9*o**2 + q*o - 2*o**3 = 0?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 17*f + 21. What is q(-19)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1080, -2\/5, -1\/193?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2\/7 + 705980*x\/7 + 3529200.\nAnswer: 4*(x + 35)*(x + 176460)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t - 5. Give r(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1720 - 1720. What is the closest to -2\/7 in 4, -7, -0.7, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*p**3 + 0*p**3 + 4*p**3 + (8*p**2 - 26*p**2 + 2*p**2)*(3*p - p - 4*p) + 0*p**3 - 5*p + 3*p**3 + 4*p as y*p**2 + f*p**3 + d*p + h and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 4\/31, -0.5, -76, 0.6?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2 - 3*j + 7*j**2 + 0*j**3 - 1 + j**3 + 4*j. What is the tens digit of v(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + k**2 + 3*k**2 + 2*k - 2*k**2 - 2*k + (2 - 2 - 2)*(3*k**2 + 3*k**2 - 4*k**2))*(-k**3 - 7*k + 7*k).\nAnswer: 3*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.003 - 0.303. Is j greater than or equal to -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 w, and 1 r when three letters picked without replacement from rimjrwjjj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**4*i**2 + 635703*c**4*i + 3*c**3 + c**2*i**2 - 4*c**2*i + 8296*c*i**2 - 5 wrt c?\nAnswer: -24*c*i**2 + 15256872*c*i + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 10 = 3*d, 0 = d + 5*s + 8 + 17. Let h(u) = 2*u - 2 - 18*u**2 - 14*u**2 + d*u**2 + u**2. Let o be h(-6). Round o to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279 = 7*o + 272 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 95213, 381524, 858699, 1526732, 2385617, 3435348, 4675919?\n\"Answer: -r**3 + 95438*r**2 + 4*r - 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -10 (b) 4 (c) -0.12 (d) 1 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 4*d**3 + 1008*d**2 + 5940*d + 8856 = 0.\nAnswer: -246, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -875 - -1459. Let v be l\/14 - (-26)\/91. Suppose -6*p = -84 - v. Solve -5*y + 2*g = g, 4*g + p = -y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -5.3. Let f = v + 7. Which is the closest to -1? (a) 2 (b) -3\/5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x**2 + 7*x - 7*x + (0*x - 6*x + 4*x)*(4*x - 5*x + 3*x).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 857 and 1141524.\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 8:19 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/15 (b) 489 (c) -1\/4 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000202290948 to six decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**2 + 35*v + 5. Give d(14).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 155353861 and 962.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2 + ((sqrt(704) - (3 + 2*sqrt(704)) - sqrt(704))**2 - sqrt(704) - sqrt(704)) + 5 + 3 + -3)*-4.\nAnswer: -11316 - 320*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333767.\nAnswer: 7, 47681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3986412 by -6.\nAnswer: -664402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36.0000023 + -36. What is u rounded to seven decimal places?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and 544.\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 10*l**2 + 7*l - 14. Let o be g(5). Let u = 273 - o. Solve -7*d = -u*d + 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -25*j - 5. Let u be c(-3). Suppose 4*p + 2*i = i + u, 5*p = 3*i + 96. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.3, -182, -3, 3\/4 in ascending order.\nAnswer: -182, -3, -0.3, 0, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3648894449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1332256 and 9952?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-3 + 7)) + 18 + 2 + -5\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -63? (a) -1\/2 (b) -12\/7 (c) 1\/7 (d) -5 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 4*w = 24. Let s = -6 - w. Calculate the remainder when 10 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -12*g**2. Let f(i) = -4*i - 8 + 13 - 5. Give t(f(o)).\nAnswer: -192*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*l - 2419 - 119 = 0. What is the highest common divisor of l and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1996828 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 136918 (base 10) to base 16.\nAnswer: 216d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g**2 - 70*g - 660. Does 84 divide b(58)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*s + 25 = -74*s. Sort 0, s, 2 in descending order.\nAnswer: 2, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167059.\nAnswer: 17, 31, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -513*m + 26*m + 24*m**4 + 142*m**4 - m**5 + 38*m**4 + 44*m**4 wrt m?\nAnswer: -20*m**3 + 2976*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -725*h**2 + 222*h**3 + 242*h**2 + 243*h**2 - 44*h**3 + 243*h**2.\nAnswer: 178*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -674273, -674276, -674277, -674276, -674273?\nAnswer: -674268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**0)**(-38)\/(s*s**(-2\/7)*s**(-2\/3)) assuming s is positive.\nAnswer: s**(-1597\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 166005.262 to the nearest ten.\nAnswer: 166010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**3 + 45*i**2 + 73*i - 99. Let h be t(16). Which is smaller: h or -10\/13?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -1. Let f = 13 + r. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35442675*f**2 - 76286672*f wrt f.\nAnswer: 70885350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t - 3*t - 2*t + (-4 + 5 - 4)*(-2 + 2 - 11)*(-5*t + t + 3*t) as v + c*t and give c.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -278 + 23*g**3 + 278.\nAnswer: 23*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 - -0.6. Let y = f + 0. Let u = -2.9 + 3. Which is the closest to 1? (a) u (b) y (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**8*n)**39 assuming n is positive.\nAnswer: n**351","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 288, 285, 282?\nAnswer: 279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*s - 30*s - 7 - 100*s**2 - 16 to the form a*s + j + d*s**2 and give j.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(4\/17))\/i**(16\/7) assuming i is positive.\nAnswer: i**(-125\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**5 + 44400*x**4 - 266504*x**3 - 710592*x**2 = 0. Calculate x.\nAnswer: -22206, -2, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 121*j**2 + 1042*j - 65. What is d(8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -237120.2 and -17.4.\nAnswer: -237137.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 2\/3487 (b) 2\/5 (c) 0.3 (d) 119\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-256)\/192)\/((0 - 2) + -2)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -15.3, -2\/5, 0, -7 in descending order.\nAnswer: 0, -2\/5, -2, -7, -15.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 2.98. Let t = j + 0.18. Let x = 0.8 + t. Which is smaller: -1\/6 or x?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1899104117?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -296? (a) -2 (b) 0.06 (c) 0.02 (d) 3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 7*f + 6. Let b = 7 - 3. Determine g(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31478152.\nAnswer: 2, 17, 59, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + y + 0*y)*(0 - 3 - 3)*(2*y**3 + 3*y**3 - 6*y**3 + (17*y**2 - 10*y + 10*y)*(-4*y + 2*y - 2*y) + 2*y**3 + 7*y**3 - 4*y**3).\nAnswer: -768*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p + 46. Let q be t(11). Suppose q*x = x + 5. Suppose r = -0*f - 4*f + 172, 305 = 2*r - x*f. Does 20 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8979*t**4*y + 2*t**2*y**2 + 7*y**2 - 108 wrt t?\nAnswer: 35916*t**3*y + 4*t*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(8)\/(sqrt(4)*2))**2 + ((sqrt(242) - -1*sqrt(242)) + sqrt(2))**2*-5.\nAnswer: -10577\/2 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*0.04824.\nAnswer: 0.004824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 + -19. Let t be ((-435)\/a)\/(4\/5 - 1). Suppose -3*k + 30 = -t. What is the least common multiple of k and 6?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4508182 to 4 decimal places.\nAnswer: 0.4508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqxqqqqqqqq. Give prob of sequence qqx.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -342*n + 684. Let c be r(2). Solve g + m + 1 = -0*m, c = -g - 4*m - 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 2*u + 37. What is q(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239*h**2 + 463*h**2 - 230*h**2.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 256*y**3 + 17923*y**2 + 228*y + 1283. What is g(-70)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(sqrt(10) + sqrt(810)*1).\nAnswer: sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3968181 to the power of 1\/4, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -c**4\/12 + 5*c**3\/6 - c**2 + 2*c. Let i be o(3). Let q(v) = v**2 - 4*v + i*v. Let s(j) = j. Calculate q(s(t)).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -76335 divided by -15267?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*f - 725 = 615 - 31 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s. Let o(p) = -131*p + 123. Determine o(i(y)).\nAnswer: 393*y + 123","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(13) - sqrt(468)) + -5 + 4*(sqrt(637) - (sqrt(637) + -4)**2).\nAnswer: -2617 + 247*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 1\/3*h**3 - 18*h - 1\/6*h**4 + h**2 + 0. What is y(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 i when four letters picked without replacement from vvvvivvvvvvivvviii.\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -88*-2.5\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/140*2*(-1)\/2?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 915.8436 minutes in weeks?\nAnswer: 0.0908575","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - 3*q + 2, 5*l + 6*q - q = 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 8 + 4. Let t = v + 2. Suppose -14 - 26 = -t*c. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 82819332?\nAnswer: 82819332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 + (5 - 24))\/9.\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76636 or -76631?\nAnswer: -76636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 11*s**2 + 13. What is the tens digit of g(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 17 = -19. Suppose -39 + f = -5*v. Solve 4*u + 2 = -v for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (4 - (4 + 2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(15) - sqrt(45)\/sqrt(3))*5)\/((sqrt(384) - sqrt(24))\/sqrt(8)))**2 + (-2 + sqrt(40)\/sqrt(8) - sqrt(5)) + -3 + sqrt(5) + sqrt(40)\/sqrt(8).\nAnswer: -5 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*p + p - 147, -5*p + 177 = m. Let v(s) = -s**2 + 16*s + 18. Calculate the smallest common multiple of p and v(16).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(-1 - (-1 - -1)). Let d(q) = q**3 - 12*q**2 - 16*q + 11. Let t be d(13). Let i be 22\/t - 2\/(-4). Is s less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 5:22 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (10 - 8) + -4 + 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 12*w + 0 + 13*w - 34*w**2 + w**3 - 1 in the form a*w**3 + s + o*w + q*w**2 and give q.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1182*r**5 - 3*r**3 + 397*r**2 + 68859872*r wrt r.\nAnswer: 23640*r**3 - 18*r + 794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 4. Let t = 29 - 30. Which is the closest to i? (a) t (b) 0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29053, -58108, -87163, -116218, -145273?\nAnswer: -174328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7}. What is prob of picking 4 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {p: 2, s: 4, x: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 - 9*g)*(2*g - 43 + 43)*(-14*g**3 + 19 - 7 + 11*g**3).\nAnswer: 54*g**5 - 216*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 251273 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 275\/30 + 10\/(-60). Let d(f) = -8*f**3 + 2*f**2. Let w(i) = -33*i**3 + 9*i**2. Calculate y*d(j) - 2*w(j).\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 11 = -13. What are the prime factors of (45\/12 - 2)*z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 67174 and -1.\nAnswer: -67174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 4*z + 18. Give i(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19984660 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -f**5\/90 - 13*f**4\/9 - 676*f**3\/9 + 115*f**2\/2 + 2*f - 55. Let b(p) be the first derivative of o(p). What is x in b(x) = 0?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2110112 - 1220220001?\nAnswer: -2000100120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -13109, 0.1, -1\/5, -3, -0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*b + 35*b = 80*b - 1071 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.26083 to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 - 24*n**2 + 104*n + 8 + 39*n**2 + 8 - 8*n**4 - n**3 - 14*n**2 as f*n**3 + o + r*n**4 + h*n + u*n**2 and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 275 + -151. Calculate the remainder when r is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*c**3*z**2 - c**3 - 1502*c**2 - 176*z**2 wrt z?\nAnswer: -18*c**3*z - 352*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4}. Give prob of picking 2 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 20*i + 6 - 27*i**2 - 3 + 35*i**4 + 57*i**2 - 31*i**2 as j + x*i**2 + z*i**3 + v*i**4 + d*i and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77489801 to the nearest integer?\nAnswer: 8803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*(l\/(l\/(l*l**(5\/9))*l))\/l*l**15*l*l assuming l is positive.\nAnswer: l**(158\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**2 + 2*k**3 - 4*k**2 + 2*k**3 as f*k**3 + l*k**2 + a + g*k and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -6*o**2 - 71*o + 15. Let l be i(-12). Solve -g + 8 = 2*c, -l*g - 4*c = -0*g - 16 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 2*g = -g - 0*g + 8, g = -4*g - 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k, 5*k + 7 = -4*u - 13 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 386*o + 688*o - 105*o to u*o + a and give u.\nAnswer: 969","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11665309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/4)\/(2\/4). Is 1 + 0 + 167 + g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55929 and 2781.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1875*d**2 + 14173*d**2 + 2554*d**2 in the form z*d**2 + c + k*d and give z.\nAnswer: 14852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-64)\/12 + 12\/36. Let z be 13 - r*14\/(-10). What is the closest to -7\/2 in -0.5, 2\/11, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 3 (b) 0.5 (c) 1\/6 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 8*f**2 - 6*f + 6. Let l be 1 - ((2 - 0) + 7). Let s = -1 - l. What is the remainder when y(7) is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2342 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14405 + -141?\nAnswer: 14224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -1. Let z(g) = 28*g + 6. Let b(n) = -6*x(n) - z(n). Let j(a) = -11*a + 5. Let v(f) = 9*f - 4. Let k(s) = 4*j(s) + 5*v(s). Give k(b(l)).\nAnswer: -28*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -993*l**2 + 4570*l**2 + 2567*l**2 + 1710*l**2 as j*l + r*l**2 + c and give r.\nAnswer: 7854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13955?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 10*i + 28 = -6*i, 4*i = 16. Suppose -5*c + j - 22 = 0, -8*c = -r*c - 3*j + 26. Sort c, -28, -1.\nAnswer: -28, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83423*k**3 + 738033*k**3 - 209730*k**3.\nAnswer: 611726*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mlfl when four letters picked without replacement from {m: 7, f: 6, l: 2}.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -6. Suppose -2*j + 5*j = -z. Let w(d) = -4*d**3 + 7*d**2 + 7*d + 7. Let l(m) = 2*m**3 - 4*m**2 - 4*m - 4. What is j*w(f) - 7*l(f)?\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ur when two letters picked without replacement from {m: 1, r: 4, h: 1, u: 2, b: 3}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 326*n - 327*n + 4866 = 0, -n = u - 1221. Calculate the greatest common divisor of 1035 and u.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2030001300 (base 5) to base 15.\nAnswer: 56bda0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 357, -12, -5, -1\/4, 2\/17, -30?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 10:41 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49.6 - 57. What is a rounded to 0 dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.92 + 0.08. Let o = l - 8. What is the closest to -1 in o, 1, 1\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 0.076, 1\/41, 5\/3, -3\/7, 6?\nAnswer: 0.076","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -b + 25. Suppose 0 = 3*w - m - 127, 2*w - b*m - m = 88. Let u be 1\/(-6) - (-7)\/w. Is u at most 1\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-5))\/(1496\/16830).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -18*i, -3*n - 3*i = 42 - 36 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/91 + -81\/455. Let q be (-1)\/(-4)*(-8)\/(-2). Which is the closest to q? (a) h (b) -0.3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**4 + 70*c**3 + 194097*c**2 + 48*c**3 - 194095*c**2 - 219 wrt c.\nAnswer: -48*c + 708","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(40*b**5 + 34*b**2 - 34*b**2).\nAnswer: -80*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence exr when three letters picked without replacement from xermhsex?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -24728*(11\/((-484)\/187) - (-9 + 6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 14 = -o, -31*o + 5*v - 8*v - 1096 + 392 = 0 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -183699\/32 = -5740?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5562*c*d**3 - 11*c*d + 4*c - 11*d + 2 wrt d?\nAnswer: 33372*c*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3 - 17 - r**2 + 9 + 7. Let t = 486 + -482. Let x(o) = -3*o**2 + 7. Determine t*x(u) - 14*m(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 4:40 AM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 794.82627us?\nAnswer: 0.000000220785075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001327845 to 7 dps.\nAnswer: 0.0000133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.137904 times 7?\nAnswer: -0.965328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1.3 (b) 14\/23 (c) 0.01 (d) -2 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.7 + -1. Let r be (4\/(-6))\/((-1)\/6). Suppose -r - 8 = 4*v. Which is the closest to 2? (a) 4 (b) v (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 1 + 0*k**2 + 0*k**5 + 0*k**4 + 0*k + 2*k**3 - 1\/1620*k**6. Let p(d) be the third derivative of i(d). Solve p(o) = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 77 + -78. Let j be (7 + o)\/((-75)\/7700). Calculate the remainder when 91 is divided by (-2)\/3 + j\/(-24).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -63 + 93. Let x be 2454\/j + (0 - (-8)\/(-10)). Let k = x + -5. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, e: 11}. Give prob of picking 2 d.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 5*p - 4*t, 7*p + 2*t - 8 + 3 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -104980 divided by -4?\nAnswer: 26245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**3 - 4*d**2 - 136*d + 278. Determine a(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.13 in -18, -2, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15351)\/408*(-224)\/98.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 6549 - 249. Suppose 600 + n = 5*y. Does 17 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 109*j**3 + 514*j**2 + 133*j - 713. Give d(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1028 = 5*q + 3*p + 434 + 448, -3*q + 2*p = 72 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 147*u**2. Let j(v) = 2745*v. Give q(j(m)).\nAnswer: 1107648675*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 387*j**2*q*r**3 + 5*j**2*q*r + j**2*r + 8*j*q*r + 5917*q*r**3 wrt j?\nAnswer: 774*q*r**3 + 10*q*r + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 8. Let c(q) = -3*q + 15. Let p be c(v). Suppose -69 + p = -s. Is s a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/82674 and 19\/44.\nAnswer: 1818828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of p**6\/180 + p**5\/24 - p**4\/8 + p**3\/3 + 4. Let n(o) be the third derivative of v(o). Let c be n(-3). Solve -j = -c*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14931 divided by 189\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -583 + 750. Let k = a - -1248. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/61*21\/(-42)\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -n**6\/360 + n**5\/120 + 17*n**4\/24 + 4*n**3 + 3*n**2 - 14. Let r(k) be the first derivative of t(k). Determine r(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -676, -986, -1428, -2068, -2972, -4206?\nAnswer: -5836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 + 0 - 16\/16 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = c + 51, -4*d = c - 162857. What are the prime factors of d?\nAnswer: 3, 41, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.5 (b) 7 (c) 0.4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -9, -3\/11, 2 in descending order.\nAnswer: 33, 2, -3\/11, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q = 4*q + 32. Let o(i) be the third derivative of 1\/2*i**3 + 0*i + 0 - 3*i**2 - 5\/24*i**q. Find the first derivative of o(x) wrt x.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-5) - (-90)\/2. Let g(v) = -29*v + 5 + v**2 + a*v - 21*v. Let s be g(2). Solve -u - 5*c - 9 = 6, 2*c = s*u - 23 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.31 - 17?\nAnswer: -15.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76 and 137161.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17790 is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 275*w + 6387. What is g(-23)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9.65089 and 2.\nAnswer: 11.65089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s**2 - 229*s + 217. Suppose -4*b + 2 = 10. What is the remainder when v(-77) is divided by -5*(64\/(-10) - b)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -1\/15*u**5 + 1\/12*u**4 + 1\/9*u**3 + 0*u + 7 - 1\/6*u**2. Find d such that g(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((11552\/480 + -24)\/((-4)\/186))\/(9\/(-90)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z. Let h(q) = -156 + q - 837 - 664. Give a(h(j)).\nAnswer: 2*j - 3314","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -8*q**2 - 45*q + 797. Calculate f(12).\nAnswer: -895","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1102 - -10?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -93 or -837?\nAnswer: -837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 93*n - 1. Let m(g) = g - 10. Let w(u) = 4*u - 20. Let l(t) = -2*m(t) + w(t). What is b(l(f))?\nAnswer: 186*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 258 and 1381284?\nAnswer: 59395212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 2*u + 4, -3*u = -2*b + 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 - 41.01. Let c = -0.7 + 0.2. What is the closest to 0.1 in 1\/7, c, i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (209 - 0 - 0) + -2. Suppose 3*f = 93 + s. Calculate the highest common factor of 20 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4616991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 4*a**2 + 9*a - 1. Let g be l(-3). What is the highest common divisor of 35 and g?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9734 + -6565. Suppose 2106 = 2*h + 4*k, 4*k = 2*h - 5*h + x. What are the prime factors of h?\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1443522 - -2?\nAnswer: -1443520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103078 is divided by 2146.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/32 and (78\/1220)\/((-140)\/(-25) - 5).\nAnswer: 1952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 400449, 400448, 400447, 400446?\n\"Answer: -i + 400450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5*k = -19, 6*v - 10*v + 3*k + 39 = 0. Solve v*g - 5*g = -4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2006560?\nAnswer: 2, 5, 12541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4471817911?\nAnswer: 11, 2053, 198017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 + 11 - -29) + -19 + -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 44 and 1324909?\nAnswer: 1324865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41615*q - q**2 - 462 - 41615*q to the form t*q**2 + p + m*q and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c - 5. Let r be (2 - 1)*(0 + 5). Let b be l(r). Suppose h - 2 = -b. Solve -p = -0*p - h for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4698714690 to the nearest one million.\nAnswer: -4699000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 + 49489*o - 49489*o.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 51*z + 12. Let v(b) = -13*b - 3. Let g(p) = 4*q(p) + 15*v(p). Let l(i) = 5*i + 2. Suppose -7 = -j - 0*j. Suppose 3*x - 2 = j. Give x*g(a) - 5*l(a).\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -2481\/8263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 165129, 660493, 1486113, 2641995, 4128145, 5944569, 8091273?\nAnswer: 10568263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175010491.\nAnswer: 347, 504353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -105*u + 67*u - 164*u + 47066. What is the remainder when u is divided by 127?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -3, 13.\nAnswer: -3, -3\/4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 2:52 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3480357 > 3480350?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 768\/(-144)*(60\/(-8))\/5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05067274 rounded to 4 decimal places?\nAnswer: 0.0507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 177970109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 7 - 4)*(j**2 + 2*j**4 - j**2) + 241 + 23*j**4 - 241.\nAnswer: 31*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 1:03 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 - 7. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1364973 is divided by 491.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110000 (base 2) in base 9?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 408 = -10*y + 352 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**4 + 20*x**3 - 15*x**2 - 50*x + 40.\nAnswer: 5*(x - 1)**2*(x + 2)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0137 * -0.3.\nAnswer: -0.00411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/7, 2115, -10.1 in decreasing order.\nAnswer: 2115, 9\/7, -10.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 5*c = -17, 18*s = 21*s + c + 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 3)\/((-1)\/1). Let j be (-42)\/56*(-2 - 2). Let p be (-2)\/(-3)*(-27)\/(-6). Solve j*f + l*f = p for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.067 - 5138?\nAnswer: -5135.933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.62 + -4.58. Let r = -37.2 - m. Let t = r - -31.999926. What is t rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 1:10 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a century in months?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3\/20, -0.5, 3\/11, 0.\nAnswer: -5, -0.5, -3\/20, 0, 3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 4*k = -12. Let s(u) = 9*u**2 - 11*u + 10. Let h(z) = -z**2 - z. Let x(j) = k*h(j) - s(j). Find g, given that x(g) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fi when two letters picked without replacement from {f: 2, i: 1, y: 4, q: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by (-10)\/(-45) - -1*(-156)\/(-27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011201012110 - -2?\nAnswer: 1011201012112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 11, -32, 1, 0 in ascending order.\nAnswer: -32, -26, 0, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 180769129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 932165750*u**6 + 103067*u**2 + 3753*u?\nAnswer: 111859890000*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 556\/3 + 2\/3*h**2 + 186*h.\nAnswer: 2*(h + 1)*(h + 278)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - 2 - 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77627*k - 77623*k - 40 = -5*b, 10 = -2*k + 5*b for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n = 201 + 85. Let u(j) = 60*j - 213. What are the prime factors of u(n)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 = 5*g - 3*o, 3*g - 5*o = -0*o + 75. Find the second derivative of 436*u + 3*u**4 - 3*u**4 - 496*u + g*u**2 - 2*u**5 wrt u.\nAnswer: -40*u**3 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.11, 5\/6, -74 in descending order.\nAnswer: 5\/6, 0.11, -1, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -895.375 to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 52742484?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 60439114277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -870 or -60?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 184961, 369915, 554859, 739793, 924717?\nAnswer: 1109631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + k + k - 14, 2*k - 10 = 0. Suppose 4*m + 37 = -3*g, 2*g = 6*g - 2*m + 20. Let v be (-25)\/g + (-16 - -12). Is v at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -404034689.4 to the nearest one million.\nAnswer: -404000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**3 - w**3 + 8*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 11*d**2 + 24*d - 962. Let w(l) = 2*l. What is w(a(j))?\nAnswer: 44*j + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5888375\/7 + -841193. Factor -1\/7*z**2 - v - 38\/7*z + 3\/7*z**3.\nAnswer: (z - 4)*(z + 3)*(3*z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -4857\nAnswer: -2428.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y**(-1\/18)*y))\/(y*y\/y**(1\/4))*y**(-9)*y*y\/y**(5\/2))**(17\/6) assuming y is positive.\nAnswer: y**(-6239\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (98107\/3383)\/((-4)\/(-1))?\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 15) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {r: 12, d: 6}.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 7*o**4 + 14*o**3 - 13*o**2 - 5*o - 3. Let x(r) = 36*r**4 + 70*r**3 - 66*r**2 - 26*r - 14. Let n(l) = -28*t(l) + 6*x(l). Let n(m) = 0. Calculate m.\nAnswer: -2, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -23.\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 + 1 - 1)*(33*k + 5*k**2 - 33*k).\nAnswer: 15*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and -3.395898?\nAnswer: 8.395898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 10*j**2 - 4*j + 17. Calculate the remainder when 846 is divided by q(-10).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 22572\/(-20) - (2 - 0). Let b = 1137 + c. What is the common denominator of -30 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -164*y**3 - y + 664 with respect to y.\nAnswer: -492*y**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 3 (b) -11 (c) 2\/3 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 480639.\nAnswer: 3, 131, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.28829171 + -20.5231\nAnswer: -20.81139171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0021623 to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*d = -l + 15, 5*d - 10 = -2*l. Let m(c) = c**2 - 6*c - 2. Let u be m(7). Suppose l*a = u*b + 5, -4*a = -b + a - 5. Round b to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-2*1)\/(-9 - -7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143863.\nAnswer: 293, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39 - (11 + (-12 - 10))) + -2?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -5. Suppose 5*y + a*x - x - 18 = 0, 0 = 2*y - 3*x - 11. What is j in 3*j**2 - 13*j**2 + y - 2*j**3 + 6*j + 6*j**4 + 4*j - 8*j = 0?\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34848660 by 91707.\nAnswer: -380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x**4 - 360 - 420*x + 46*x**4 - 130*x**2 + 5*x**3 - 60*x**4 = 0. Calculate x.\nAnswer: -3, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2 - 28493*w + 1 + 28494*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + n + 1493645 = 0, -s = 4*s + n - 3734116. Let q = -366823 + s. What is q rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_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: Let z = -3946\/9 - -438. Let h = -99 + 98.982. What is the second smallest value in h, z, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123697 is divided by 34.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5 = 5*y, -2*y = -5*r + y + 22. Let s be (-1)\/(27\/14 - 2). Let c be (112\/(-21))\/(-12 - 736\/(-72)). Put c, r, s in increasing order.\nAnswer: c, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26604.64 decades to months.\nAnswer: 3192556.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 1174*m + 42. Let b(l) = 1882*l + 63. Let d(f) = 5*b(f) - 8*q(f). Determine d(7).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 576 and 21744?\nAnswer: 86976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 187 (b) 0.1 (c) 4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2604 - -5?\nAnswer: -25ff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 110*r - 26. What is x(0)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -186.65 to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 42 = 3*y. Let g = -55\/4 + y. Let u = 0 - 0. What is the closest to g in -0.2, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 92 - 88. Suppose h*t - 2*c - 702 = 0, 6*t + 5*c - 695 = 2*t. Suppose 23*y - 16*y - t = 0. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3922.8435ms?\nAnswer: 0.00108967875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2233\/3 + 22561\/30. Let h = 513\/44 - 9\/22. What is the common denominator of h and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*g - 156. Suppose 4*t + 10*t = -g. Let l = 111 - t. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68 and 1450.\nAnswer: 49300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 829 is divided by (-2)\/(-4)*1 - (-165)\/10?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 9:01 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 64020582?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 12744, 2\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 862 a factor of 209026109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + n = -22, -3*v + 3*n - 23 - 1 = 0. Calculate the common denominator of (-2)\/v + (-902)\/60 and -3\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.2 - 4. Let z = -0.2 + r. Let v = 16 + -17. Which is the nearest to -2? (a) z (b) -0.3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4522, -4525, -4530, -4537, -4546?\n\"Answer: -w**2 - 4521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 60 = 5*h - 65, -2*h = 3*a + 111. Let r = -78 - a. Is -43 equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -170*v**2. Let n(t) = 8*t**2. Give n(l(r)).\nAnswer: 231200*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -5*d**3 + 11239*d**2\/6 + 4127*d\/6 - 125 = 0.\nAnswer: -1\/2, 2\/15, 375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.27 times -9.514295?\nAnswer: -2.56885965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42242025?\nAnswer: 3, 5, 7, 17, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1526, 11933, 39844, 93887, 182690?\nAnswer: 314881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/10 and 59\/200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/13 + 5034*s\/13 - 13832636\/13.\nAnswer: 2*(s - 1657)*(s + 4174)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 8:45 PM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4115 = 2*r - 0*t - 5*t, 8272 = -4*r - 4*t. Let o = 49627\/24 + r. Find the common denominator of -47\/27 and o.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**2 + 2*k - 1. Let s be 8\/2 - (-2 + 4). Let p be v(s). Let i = -16 - -9. Are i and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 0.042, 68, -2, 0.1?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*s = 13 - 5, -3*a = 3*s. Let l be (-8)\/a*(-19)\/171. Sort -4, -47\/5, -5, l in ascending order.\nAnswer: -47\/5, -5, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 48*d**3 + 7*d**2 - 6*d - 7. Let y(r) = 59*r**3 + 8*r**2 - 7*r - 8. What is -5*h(p) + 4*y(p)?\nAnswer: -4*p**3 - 3*p**2 + 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 134*l**3 + 514887 - 514887 + (l**2 - 2*l**2 + 2*l**2)*(3*l - 4*l + 2*l) to d*l + f*l**3 + x*l**2 + y and give f.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -3, 3, 22, 2, 2841 in ascending order.\nAnswer: -5, -3, 2, 3, 5, 22, 2841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103475, 206950, 310425, 413900?\nAnswer: 517375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (-3)\/(3\/(-2)). Suppose v = -g - 35042 + 2042. What is g rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*z - 3*d + 3, 3*z - 7 = 2*d. Let c be 6*((-6)\/(-9) - 0). Find the second derivative of 2*y - c*y - y + 3*y**z + 0*y wrt y.\nAnswer: 60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4 - 0.1. Let r = -1 - i. Let h = r - -0.5. Which is bigger: h or -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 17*r**2 + 17*r + 18. Let q be m(18). Suppose -18*c + 15*c + 6 = q. Solve -i = -c*i + 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -52590 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -717 - 363. Calculate the smallest common multiple of 6 and n.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + -1 + 1\/(-2))*535\/(-6420)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y - 2*y + 5*y)*(y**3 - 5*y - 2*y**2 + y + 6*y) as l*y**4 + h*y**2 + g*y + d + m*y**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 5*v + 16789, -6*r = -11*r + 5*v + 21020. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 80\/1113?\nAnswer: 80\/1113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-5) + 16\/40. Let q be -3400002 + 9\/((-9)\/d). What is q rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 9*i - 630. Give g(71).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 4:35 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 1 = -1, i = -2*n + 1. Is 4 - n - 16\/8 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, n: 3, z: 5, e: 1, q: 1, u: 1}. Give prob of sequence zbe.\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 551 + 50462*j**3 - 50464*j**3 + 480 - 1031.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 21614 (base 9) to base 2\nAnswer: 11100000001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1728093716.\nAnswer: 2, 59, 79, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 602635?\nAnswer: 5, 11, 10957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-7)*u**(-9))\/((u*u\/u**3)\/u**(-3\/2)) assuming u is positive.\nAnswer: u**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.69 - 7.21. Let t = -11.9 - b. Let v = 0.1 - 0.1. What is the third biggest value in t, -1, v, -27?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -104*k + 2502 - 1566 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 172352613 - 3?\nAnswer: 172352610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16 + 78b0?\nAnswer: 7906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s - 2. Let v be j(0). Let q = 7 - 4. Which is the third biggest value? (a) v (b) 4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**3 - 2*i**4 + 0*i**3 + i**4 + 0*i**4 - 3*i**4 + 1 - i**4 - 1 + (0*i - 2*i**2 + 0*i)*(3*i**2 + i**2 - 3*i**2))*(2*i - 5515 + 1017 + 59).\nAnswer: -14*i**5 + 31073*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*c = 20. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 94 + 101. Let s(d) = 2*d**2 - 1 - 6*d + 5*d + 3. Is 28 a factor of s(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fof when three letters picked without replacement from {f: 8, o: 3}.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 83*x + 8. Let h be g(14). Let p be (h\/24)\/5*-1*8. What is p rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 2*p + 18. Suppose 5 = -p*x + 5*x, 0 = 2*a + 3*x + 11. What is the first derivative of -9*t**a + 17 + 5*t**2 + 13*t**2 wrt t?\nAnswer: 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*r**2 + 17*r**2 - 8*r**2 - 13*r**3 + 11*r + 3 + 19*r - 29*r as i*r**2 + w*r + d + l*r**3 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52132.118 - 52225. Let x = w - -93. Let c = -0.167 + x. Round c to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 61*w - 557. Is q(20) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-6))\/((-6)\/(-12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d - 1. Determine s(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 12:09 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/(32\/36)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5738 divided by -151?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -8452, -2, 0 in descending order.\nAnswer: 0, -2, -8452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 3\/5 (b) 1\/72 (c) -1\/6 (d) 7074\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0476486891 to three decimal places.\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*m = -53*m - 40. What is the closest to 1\/2 in -2\/11, 3\/7, m?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -90*u + 105 wrt u.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -5. Let p = -113.29 - -113.29. What is the smallest value in -0.4, b, p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -p - 8*a + 8, -3*p - a + 24 = 0. Suppose -4*b - p = -16. Solve b*q = t - 1, t = -5*q + q + 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4690\/1876*24\/10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (11 - -40) - (11 + -8 + (-2 - -2)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x - 16*x - 42 = 0. Suppose 0 = 3*t - 5*h + x, 4*t = h + 2*h - 17. Let z = 1.2 + -1.3. Which is the closest to t? (a) -5 (b) 1\/2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k + 4 = -20*k. Let n(b) = b**3 + b**2 - 3*b - 2. Let a be n(k). Solve -d + 2*r - 2 = -3, -3*r + 6 = a for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8224931914 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153 = -7*q + 258 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 205 in -0.2, 0.3, 0.1, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b + 17. Let n(j) = 2*j + 9. Give 4*i(v) - 9*n(v).\nAnswer: -2*v - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 537499*w + 4. Let s be a(4). Suppose -5*u + 0*u = s. What is u rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 117 = 28. Let q = 50 - d. Calculate the lowest common multiple of q and (3 - (0 + 0))*(199 + -194).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9985 times 5\nAnswer: -4.9925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1765464 (base 10) to base 12\nAnswer: -711820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 37630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1925 - 103896913.\nAnswer: -103898838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5071607363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321*f + 351 = -294*f for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -696 - 1695. Which is smaller: -11954\/5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - 2*s + 4*s)*(4 - 2*s**2 - 4) - s**3 + 7*s**3 - s**3 + (-2*s**3 - 2 + 2)*(-26 - 35 - 26).\nAnswer: 175*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2065)\/10 + -3)*-2. Suppose m + 202 = 3*d. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 75*d**2 - 122*d - 1746. Let b be f(73). Which is smaller: 300\/41 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -163 + 955\/6. Find the common denominator of g and 103\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7243739578?\nAnswer: 2, 3621869789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3468 - -582653\/168. What is the common denominator of h and -55\/64?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and -5891.\nAnswer: -5891.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10958 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21469700 rounded to the nearest 100000?\nAnswer: 21500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x - 8*x - t + 1, -2*t + 2 = 5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.3 - -4.606. Let n = 3.316 - q. Let a = 0.01 - n. What is the biggest value in a, -0.2, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1636910 is divided by 263?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-109 + 3)\/(6\/(-12)) is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 2*w + 30. Let q be b(9). Suppose 24*a + 22011 = q*a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 12:59 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + 11. Let z = y + 43. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 421*w**3 + 895*w**2 + 3473*w + 84?\nAnswer: 2526*w + 1790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4496464 and 13832?\nAnswer: 58454032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 8) in base 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 4*c + 11, 27*c - 24*c + 12 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 1740*r**2. Let z(y) = 2824*y + 7. Give z(k(f)).\nAnswer: 4913760*f**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 + 642 = 270*y. Let z(n) be the second derivative of 1\/2*n**3 - 7*n + 0 - 3\/2*n**y + 1\/12*n**4. Determine z(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 37 in -0.22, -6\/5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 420410 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 337.\nAnswer: -1685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f - 2*f - 26*f.\nAnswer: -21*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 977008265?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 130 + -98. Let a = d + -31. What is the closest to -0.1 in a, -0.3, -48?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70376654\/7 or 10053808?\nAnswer: 70376654\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (((-462)\/45)\/14)\/((-1)\/(-432)). Let c = -313 - u. Find the common denominator of -64\/35 and c.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence on when two letters picked without replacement from {o: 1, z: 13, n: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -59, -170, -387, -746?\nAnswer: -1283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -0.25731.\nAnswer: -0.051462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1173\/782 + (-19)\/26. Let r be 0*(1 + -3 - -1). Which is greater: j or r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5221 and 19976.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 200*m**4 - 121*m?\nAnswer: 2400*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 67?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -35 - 5*l - 315 - 16*l. Let a be n(0). What is a rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 514432080 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/(-1065)*-3)\/((-6)\/185). Let j = 2\/71 - z. Sort 5, 14, j, -0.5 in ascending order.\nAnswer: j, -0.5, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(2) + -2 + 5 + sqrt(54)\/sqrt(3) + -5)**2.\nAnswer: 8*sqrt(2) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152905.\nAnswer: 5, 53, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*p + 7*p - 15*p)*(p - 1 + 0 + 0*p).\nAnswer: -18*p**2 + 18*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -330 at most as big as -0.07205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*-2*(-1)\/1. Suppose 0 = -3*u - 106 + 592. Suppose -u = -h*i - 4*m, -4*i + 3*i - 3*m = -83. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 994 + -989. What is the nearest to -2\/5 in q, 0.3, -2\/5, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 1:06 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a minute in seconds?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*sqrt(209)*1 - sqrt(209))\/(sqrt(22)\/sqrt(2)*4).\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 17 = -q, 0 = -3*q + 2*v + 2*v + 26 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/675 or 1?\nAnswer: -2\/675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 245069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y + 4*y + 2*y)*(5*y**2 - y**2 - y**2) + (25*y**2 + 22*y**2 - 29*y**2)*(0 + y + 0) + y**3 + 3*y**2 - 3*y**2 to x*y**2 + n + u*y**3 + b*y and give u.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/4 - (-13243)\/38. Let o(f) = -175 - 8*f + f**2 + z - 173. Give o(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/5 - 1281*l\/5 - 1278\/5.\nAnswer: -3*(l + 1)*(l + 426)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -2018561 and -2018557 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -41e20?\nAnswer: 41e1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + a + 215 = -4*a, y - 41 = -a. Let p = -208 - -285. Let g = p - y. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**2 - 36*i + 2. Let g be w(18). Suppose 4*s = l - s + 13, -5*l + g*s = -50. Suppose l*m = 5*m + 9415. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/2 and 131\/162.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 7*v**2 + 11*v - 3. Let p be z(-8). Let w be 7\/3 + (-18)\/p. Suppose 0*d + 282 = w*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/(-7))\/(-1) - (-40)\/(-10)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34391 + -8698. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-2))\/(32\/24)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 take away -2609815?\nAnswer: 2609822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -7 (b) 13704 (c) -3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0494 - -1.7934. Let z = -1.47 + a. Let m = z + -18.974. What is m rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yjh when three letters picked without replacement from {l: 1, y: 1, v: 1, z: 1, h: 2, j: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - w. Let d(c) = -5*c**3 - c**2 + 3*c. Let g(q) = d(q) + 4*l(q). Let f(z) = -3*z**3 - 5*z**2 - 3*z. Give -f(k) + 4*g(k).\nAnswer: -k**3 + k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 4*d + 71, 2*m - d + 4*d = 131. Which is smaller: 66 or m?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -18351 and -612.\nAnswer: -18963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13224 - -11?\nAnswer: 13235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 21. Let x be 27\/(-6)*(4 - 2). Let f be p(x). Let w(k) = -k**2 + 13*k + 1. Is w(f) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -11. Let d = p + 3. Suppose -d*u - 2*q = -4 - 14, 5*u - 3*q - 17 = 0. Solve u*j - j - 3 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*b**2 - 105*b + 116*b - 11*b - 15*b**2.\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -758*l - 1076*l + 106372 = 0 for l.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72*q + 6 + 78*q - 104*q)*(q + 3*q - 2*q).\nAnswer: -196*q**2 + 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 335513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 28294231 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1803*v + 1798*v + 2 = -8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177*m + 7*m**3 - 177*m.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45038, 89367, 133696, 178025, 222354, 266683?\nAnswer: 311012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 2*w - 2*m + 12, w + m + 6 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(1700) + -1 + sqrt(1700) + 3)*2 + (sqrt(1700) - ((sqrt(1700) + 1 - sqrt(1700)) + 2)) + 2 + 0)*-2)**2.\nAnswer: 2000*sqrt(17) + 170100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1440*v**2 + 10947*v**2 + 30500*v**2.\nAnswer: 40007*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 56 = 4*w - 0*w, -54 = -3*w + 3*t. Is w a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 41\/6, -2\/13, -2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -76, -297, -658, -1153, -1776, -2521, -3382?\n\"Answer: u**3 - 76*u**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.041282724 to four dps.\nAnswer: -0.0413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269461 is divided by 4035?\nAnswer: 3151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35878.080638 - -0.219362. Let x = 35676.3332 - s. Let d = x + 202. Round d to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - 22 - (-1 + (-5 + 4 - -5))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 749090.\nAnswer: 2, 5, 173, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t = -1379 - 13713. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -1. Let b(r) = 0*r + 4 - r**v - r + 0. Let g be b(0). Sort g, 3\/2, 2\/17.\nAnswer: 2\/17, 3\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24577781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/2)\/(((-30)\/4)\/(-15)). Suppose 15 = 3*x - 3*s, 0*x + u*s = -5*x + 41. Solve -1 = 2*f - x for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 121*y - 701. Let k be v(6). Solve 0 = -10*d - k - 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -108 - -107.999595. What is r rounded to 5 dps?\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/9? (a) 0.1 (b) 12 (c) 353 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 231 - -2?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001926274 to five decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -10. Let i = 5 + m. Suppose -3*c - 16 = -2*o, o = 993*c - 995*c + 8. Solve -i*w + w - 4*z - 20 = c, -w + 5 = -z for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 16) to base 10\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 334.4 + -334. Let w = 4.39 + -4.2. Let m = w + 0.11. Which is the nearest to -0.2? (a) 4\/5 (b) o (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w + 579 = -386 + 1560 - 355 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3044 and 8.\nAnswer: 6088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 c, and 1 n when four letters picked without replacement from nhchccnccnncnncctct.\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + d + 30. Suppose -d*f + 5*f = o - 200, -3*f - 1000 = -5*o. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 7*v - 7. Let w = -15 + 5. Let l(s) = s**3 + 10*s**2 + s - 8. Let u be l(w). Let a = u + 11. Give t(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j + 11. Let d be q(5). Let z(v) = 4 + v**3 + 2*v - d - 5*v**2 + 3 - 3. Suppose -5*h + 15 = 0, f - 4*h + 5 = -4. Calculate z(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((4 + 0 + sqrt(1900)*-1 + (2*(sqrt(114) - (sqrt(114) - 1*sqrt(114)) - sqrt(114)))\/((sqrt(66) + 2*sqrt(66) - sqrt(66))\/sqrt(11)))*1)**2.\nAnswer: -480*sqrt(19) + 11496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.635985 nanometers in meters?\nAnswer: 0.000000009635985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -7, -321679?\nAnswer: -321679","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16083733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/130 and -89\/104.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.6083 years to decades.\nAnswer: 4.56083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4 = -2*f. Suppose -f*g + 1 = -g, -1 = -4*q - g. Which is smaller: q or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162567 is divided by 10132.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 + -22. Let p(g) = g**2 - 6*g + 5. Let a be p(6). Solve -3*j + o + 3*o = -9, -d = -5*j - a*o for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5349 is divided by 103?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 26 = 2. Let v = r + -12. Let y(l) = l + 12. Determine y(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8\/25 of a gram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 0 - (5 - 5 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 887, 1778, 2669?\nAnswer: 3560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - r = 2*n - 18, -2*n + 22 = -4*r. Solve -8*c + n*c = -20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2180020.\nAnswer: 2, 5, 109001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*2*sqrt(1900) - sqrt(1900)) + -2 + -2)**2 + 2.\nAnswer: 880*sqrt(19) + 229918","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 5, -3\/5, 4 in decreasing order.\nAnswer: 5, 4, 1\/2, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4 + 3)*(117*l + 3 - 3 - 23*l).\nAnswer: -470*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75213, -300796, -676755, -1203090?\nAnswer: -1879801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7b1b (base 15) to base 6.\nAnswer: 320542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - v + 67, 33 = -3*q + 4*q + 3*v. What are the prime factors of q?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -608*u = 527*u + 59020 for u.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 8385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 6\/11 (b) -1\/7 (c) -0.5 (d) -3\/152\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/670 and -129\/154780?\nAnswer: 10370260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.113 + -264?\nAnswer: -264.113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 15 = 3*m. Suppose 1 + 13 = 2*y + 2*x, 5*x = 5*y + m. Find the second derivative of -2*g**3 - 4*g + 0*g + 2*g**3 + g**y wrt g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.32579476 to 2 dps.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.5, -1\/6, 18\/11, 3\/2 in increasing order.\nAnswer: -0.5, -1\/6, 0.4, 3\/2, 18\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1415388?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152640 is divided by 5280.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11302?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187*o - 360 = -217*o. Let q(n) = n. Let u(h) = 5*h - h + 0*h**2 + 2*h**2. Calculate o*q(f) - 3*u(f).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nvn when three letters picked without replacement from {v: 5, n: 9}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a century in months?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24736 (base 8) to base 15.\nAnswer: 3298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g + 28 = 2*r + 43, -21*r - 61 = 2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-25 - (10 - 15)) + -4 + 5 + 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -203984, -203987, -203990?\n\"Answer: -3*d - 203981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 6*s + 145. Let n(c) = -5*c - 144. Calculate 4*j(y) + 5*n(y).\nAnswer: -y - 140","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (58\/6 + -6)*((-185)\/(-15) + -13)?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -56, 4\/5 in descending order.\nAnswer: 4\/5, 0.2, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*z**2 + 3*z**2 - 13*z**2 + 23*z**2 as j + a*z**2 + o*z and give a.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 + 0.7. Suppose -2*g + 3 = -5*n - 0, 0 = -3*g + 5*n - 3. Which is the second smallest value? (a) g (b) f (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76330 is divided by 10904.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 104*y**2 - 5*y - 1. Suppose 0 = l + 3*w + 14, -w + 0 = 4. Let o be r(l). Is o not equal to 426?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 10*j - 45. Let q be a(5). Let b(o) = -1 - 8*o + 13*o + q*o. Determine b(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 + 1001011100111?\nAnswer: 1001011110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (-2 - 14 - ((12 - 10) + 5))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 - 2 + 2 - 15*p**2 - 155 + 155 + (3 - 3 - 1)*(-3*p**2 + 2*p**2 + 3*p**2) + 3*p**2 + 2*p**2 - 6*p**2 + 4*p**2 - 3*p**2 + 0*p**2.\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*s + 20*f - 19*f, -2*s - 3*f - 4 = 0. Solve 5*l + 6 = r + 1, -15 = -3*r + s*l for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 468.21 + -8.21. Let k = -461 + r. Which is the second biggest value? (a) 1\/4 (b) 0.1 (c) -2\/5 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3576 and 352?\nAnswer: 157344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 452303629 to the nearest integer?\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/3 + 3839882*p\/3 + 3839888.\nAnswer: -2*(p - 1919944)*(p + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(13) + 4 + sqrt(13)*-1 + -4)**2 + 3 + ((-3*(sqrt(130) - (sqrt(130)*2 + sqrt(130))) + sqrt(130))\/sqrt(10))**2.\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 38*n**3 + n**2 + n. Let a be (-44)\/36 + 5*(-8)\/(-180). Determine u(a).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of q**6\/30 - 139*q**4\/12 - 5*q**3\/3 - 6*q**2 - 352*q. Find the second derivative of c(d) wrt d.\nAnswer: 12*d**2 - 278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -3. Let n = r - 4. What are the prime factors of (-6)\/n - (5 + -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 433 is divided by 32?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 36198159, 72396321, 108594483?\n\"Answer: 36198162*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -5*y + 8*y - 83, -2*i = 3*y - 97. Solve l + 3*l = 5*g - y, -4*g - 3*l = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**4 + 5*l**4 + 6*l**4 - l**3 + l**3 - 2*l**4 + (-3 + 3 + l**4)*(-2 + 3 - 3).\nAnswer: 10*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*j**3 - 94*j - 90*j + 16*j**3 - 186*j**2 + 2*j**4 + 181*j to q*j**3 + w*j + i*j**2 + x*j**4 + z and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -10214*g + 10216*g. Solve 2*t - 22 + g = 2*m, 3*t + 4*m = -14 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11.99 and 0.27.\nAnswer: -3.2373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j - 5. Let o(z) be the first derivative of z**2\/2 - z - 83. Calculate -4*o(s) + x(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 143, 3\/7, -1.3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (12\/24)\/((-2861075)\/715270 - -4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-29 - 24 + 69 - 24)*(-6 + 6 - 5 + n**2) in the form d*n**2 + f*n + w and give w.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*b - 3*b + 1 + b in the form v*b + x and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -4*r - 28, -107*m + 2*r + 12 = -106*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 - 53. Find the third derivative of 5*x**6 - 8*x**o - 6*x**6 + 2*x**6 - 8*x**2 wrt x.\nAnswer: -840*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 262974.84 months to decades.\nAnswer: 2191.457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -735 (base 16) in base 13?\nAnswer: -abc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8497871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1373*b + 11 + 1375*b - 2751*b)*(-b - b - 2*b)*(3*b**2 - b**2 - b**2).\nAnswer: 12*b**4 - 44*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22)\/(sqrt(8)\/sqrt(4)))**2 + (sqrt(77)*2 - sqrt(77))\/sqrt(7) + -4)*-4.\nAnswer: -28 - 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15095053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -6. Let i be (-87)\/(-9) - 2\/o. Suppose -4*b - 5*d + 161 = 0, 2*b + i = 5*d + 83. Calculate the greatest common factor of b and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 892400866?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 3548409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express x**2 - 6*x**2 + 3*x**2 + (-5*x + 4*x + 2*x)*(-4*x + x + x) + (2*x**2 - x**2 + 2*x**2)*(0 + 1 - 3) in the form v*x + h + g*x**2 and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -7)*(-480)\/(-36). Let u = -164 + q. Let x be (24\/u)\/((-2)\/14). Solve o = x*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -7. Suppose -5*p = 3*x - 51, -j*x + 4*x - 9 = 0. Let m be (p\/(-18))\/(4\/(-18)). Solve 0 = 2*c + b + 4*b + 15, 5*c = m*b + 9 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 276*i - 8 + i**3 - 58*i**2 + 58*i**2 - 284*i to the form u + a*i**3 + t*i + l*i**2 and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 8*m + 50. Suppose -24*p - 76 - 44 = 0. Let g be l(p). Solve -4*f - g = -6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5439, 10875, 16311, 21747?\nAnswer: 27183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -16 (b) 2\/9 (c) 1.1 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6521 is divided by 990.\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 3*o**2 - o + 6. Let p be l(3). Solve -16 = -r + 3*h, r + p*h = -2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 13*i + 159. Let y be j(-9). Calculate the greatest common factor of 14 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 75\/2 of a kilogram?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.6 + -9169169.\nAnswer: -9169170.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -3\/2 (b) 0 (c) 4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.17 to one dp.\nAnswer: 7.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventeen halves of a tonne?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1235 + 1?\nAnswer: -1234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = t - 2*t - 2, 0 = -5*p - 2*t - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - -1) + -2*1. Let i(f) = 0*f + 0*f - 16*f**m. Let c(a) be the third derivative of -a**4\/12 + 27072*a**2. Calculate c(i(y)).\nAnswer: 32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -30*(-63)\/(114345\/88)*4\/((-16)\/3)?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 108, 2 in descending order.\nAnswer: 108, 2, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177*i - 30612 = 59304. Solve -502*o + i*o + 12 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -10*a - 12. List the prime factors of w(-10).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2280, 4548, 6804, 9042, 11256, 13440, 15588, 17694?\nAnswer: 19752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -18*a**2 + 4*a. Let b(r) = 18*r**2 - 3*r. Let t(n) = -4*b(n) - 3*i(n). Let m(u) = u**2. Calculate m(t(c)).\nAnswer: 324*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31.6 + 32. Sort u, 0.07, 4 in ascending order.\nAnswer: 0.07, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3947 - 71057 = -2*v. Is v a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -36 - 1 - (1 - 4). Let g = j - -39. What is the remainder when 24 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4619*s - 4631*s = -792. Suppose -4*n = -j + 6*j + 320, 2*n - 4*j = -134. Let g = s - n. List the prime factors of g.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*p = 2, -5*p = 3*x - p + 11. Let r be x\/(15\/6)*-2. Suppose r*b + 20 = 4*g, 4*b + 8 = 5*g - 16. Solve 0 = g*d + 20, -2*f = -4*d - 30 - 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 64 = 11*z - 13*z, -5*v - 15*z + 25 = 0 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**2 - 154*i - 148*i + 321*i - 1 + i**4 + 2*i**4 - i**4 - 3*i**4 + (-6*i + 4*i + 0*i)*(2*i**3 + 2*i**2 - 2*i**2) + 0*i**2 - 2*i**4 + 0*i**2.\nAnswer: -7*i**4 + i**2 + 19*i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + sqrt(75)).\nAnswer: -30*sqrt(3) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1786*n + 732*n - 1426*n = -42318 - 66802 for n.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v + 2. Let m be w(0). Suppose -3*n = -4*t + 11, m*t - t = 3*n - 4. Let i(x) = x**3 + 5*x - 5. Let o(z) = z**3 + 6*z - 6. Give t*o(d) - 6*i(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-3846050)\/(-325)*(1 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*w - 4907066 - 51541117. Suppose w + 9765043 = 32*u. Round u to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, n: 1, b: 1}. What is prob of sequence wnb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 57723973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/2 - 239411447*i - 57317840954633809\/2.\nAnswer: -(i + 239411447)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r. Let g be ((-3)\/(-6))\/((-1)\/(-4)). Let b(v) be the first derivative of 4*v**2 - 2*v**g + 0*v**2 - v**2 - 3. Give y(b(t)).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 134 + -134. Suppose p - y + 2 = q, 2*p - 3*y - 8 = -5*y. Suppose 3*l - 59 = p. What is l rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -l**6\/120 + l**5\/15 - l**4\/12 + l**3\/2 - 2*l**2. Let a = -6 + 8. Let n be 5 + -3*a\/3. Give w(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 6*c**2 + 16*c + 8. What is the least common multiple of r(8) and 1852?\nAnswer: 3704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -84 - -86. Suppose 7*z = 6*z + k. Suppose 5 = z*m + 2*a - a, 4*a - 4 = 0. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 966.00000671 - 966. Round r to seven dps.\nAnswer: 0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 146, 4, -3, 10 in increasing order.\nAnswer: -3, 4, 10, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.029 + -0.781. Let p = b - -1.6. Let m = -0.49 + p. Sort m, -5, 2, -0.5 in increasing order.\nAnswer: -5, -0.5, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31428 divided by -21474?\nAnswer: 1746\/1193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 10:40 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kke when three letters picked without replacement from akeekkkkreraekrarrk?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from qttrb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j - 3*j + 3*j + (3 + 4 - 5)*(0 + 2 - 1)*(-j + 3*j + 0*j) - 7 + 3*j + 7 + (0 - 1 + 0)*(j + 3*j - 2*j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**4 - 1264*p**3 + 200970*p**2 - 396900*p = 0. What is p?\nAnswer: 0, 2, 315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 + 62142?\nAnswer: 62131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 885\/45 + -13 - 420\/(-126)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -69, -73, -75, -69, -49, -9?\n\"Answer: r**3 - 5*r**2 + 4*r - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((7 - 2) + -4 + (-4 - -9))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2938061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1545000 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**5\/11 + 630*d**4\/11 + 59324*d**3\/11 + 2027270*d**2\/11 + 24435075*d\/11 + 22466500\/11 = 0. Calculate d.\nAnswer: -524, -35, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(7)*-3 + 0) + -4.\nAnswer: -4 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.037458803 rounded to three decimal places?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**3 - 2*f**2 + f + 1. Suppose -i + 7 = 6. Suppose 4*u - 3 = -7. Let m(q) = q**3 - q**2 + 1. Determine i*c(s) + u*m(s).\nAnswer: s**3 - s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hf when two letters picked without replacement from gffrihiiflh?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47c0e (base 15) to base 12.\nAnswer: b051b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-4)*(5 + -3). Let z be 1\/(-3) - 13\/h. Find the third derivative of -m**z + m**3 - m**3 - 3*m**2 wrt m.\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18488*u - 18490*u - y + 3*y + 188, 18*y + 1617 = 3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 16 = -2*j. Sort j, 1, 0.4, 0.\nAnswer: 0, 0.4, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3132 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 10*j**2 + 5*j - 6. Calculate the remainder when h(2) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.48 + 0.38. Which is the third smallest value? (a) w (b) 2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -6*p**2. Let m(x) be the second derivative of x**4\/12 - 29*x + 1. Calculate m(u(v)).\nAnswer: 36*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*g**5 + 2*g**4 - 2956*g**3 - g**2 - 4264*g + 2 wrt g?\nAnswer: 180*g**2 + 48*g - 17736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 0 - 16. Suppose k*h - 9 = 7. Suppose q + q - 1081 = -d, -3*d - 2167 = -h*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12 (b) 0.02 (c) -0.4 (d) 2 (e) -1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2 + 135*s - 558. What is o(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 8:46 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 4\/((-4)\/(-3)). Suppose -t + 3 = 0, -3*i + 0 + u = -t. Solve -4*o + i*g + 4 = -3, -4*o + 4*g = -12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41252?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uznuznjzujszzss. What is prob of picking 1 z and 1 j?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 617496 and 2112.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3 = 1. Find the common denominator of (-14)\/4 + p + 47 and 75\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) - (sqrt(363)*-3 - sqrt(363) - sqrt(363)))*3)**2*-5.\nAnswer: -588060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 11*t + 2. Let k be q(5). What are the prime factors of (-7)\/(k\/(-12)) - -161?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -59, -125, -217, -335, -479, -649?\nAnswer: -845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -37*y**3 - 6*y**2 - 6*y + 1. Give m(-2).\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*x + 51*x = 14 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/10)\/(10*2\/400))\/14?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 46*r**2 + 572*r + 24. Calculate d(-10).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -828 (base 12) to base 16\nAnswer: -4a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 4 (b) -5 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 5*k + 5 + 1, 2*k - 3*f - 6 = 0. Let o(l) = -7*l + 3. Let y be o(k). Solve z - 2 = y*q, 2*z + 0 = 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/8 - 1)*-16. Suppose 0 = -2*m + 1 + 5. Suppose -m*f = -f - q. Calculate the remainder when 7 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 514628579?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3 + 37828*t**2 - 113448*t.\nAnswer: -4*t*(t - 9454)*(t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 160?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 189 - 164. Solve -y = -5*a, -3*a = -5*f + a - 45 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7932 times 18887\nAnswer: -149811684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**4 - z**2 - z - 1. Let s(w) = -351*w**4 + 915*w**2 - 4*w - 4. Let a(x) = -4*j(x) + s(x). Find the third derivative of a(h) wrt h.\nAnswer: -8520*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5 = -1. Which is the nearest to -1\/3? (a) v (b) 0.2 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.69362183 rounded to four dps?\nAnswer: -0.6936","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.3 less than -1.689?\nAnswer: -72.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376 is divided by 122?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or 2\/21?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 5*o**2 + o - 3. Let s be u(5). Suppose 2*v + 1 = -3, -5*t + 15 = -87*v + 92*v. Solve -h + 5 + 13 = -t*m, 2*h - s*m - 12 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -63*s + 61. Let m be d(-2). Let r = -161 + m. Solve r = -4*y + 10 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10894984 + 0.023.\nAnswer: -10894983.977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/19 in -47989, 0.3, -9, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 132354, 529442, 1191256, 2117796, 3309062?\n\"Answer: 132363*n**2 - n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -108, -20018 in ascending order.\nAnswer: -20018, -108, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-11 - -2) - (79 + -100) - -4\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219 - 721 = -4*v + 4*l, -940 = -4*v - 5*l. Suppose -2*g = v - 609. Suppose 0 = 3*p - o + 6*o - g, -4*o = -3*p + 142. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1353964265 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w + 33 = 15 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5 + 10*j - j**2 - j**2 + 6*j**2 - 3*j**2. Let p be v(-7). Let t = 28 + p. What is the remainder when 44 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -6*k - 2. Let g be w(-2). Let d be (-6)\/g - (-2560)\/(-25). Let t = -58 - d. Does 15 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17920000 rounded to the nearest 1000000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3629\/120 + -151\/5. Let n be (-2)\/9 + 220\/99. Let g be -2 + 4\/4 + n. Which is greater: g or i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 3 + 0 + 5 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -44*f + 450. Calculate u(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of 0*m**2 - 45*m + 0 + 16\/3*m**3. Let b(a) = 10*a. Determine b(o(k)).\nAnswer: 320*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*3\/(-8)*41\/(-123)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 4, 0 = 5*q + 1108*t - 1104*t + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -962*k - 22110 = -292*k for k.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 3 + 4)*(-f**3 + 2*f - 2*f) + 3*f**3 - f**3 - 3*f**3 + (-f + f - 2*f)*(-3 + 3 - f**2).\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 9, o: 6}. Give prob of picking 2 o.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88364 is divided by 391.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of o**5\/30 + 7*o**4\/12 - o**3\/3 - 17*o**2. Let u be s(-7). What is the lowest common multiple of 4 and 120\/(2 + 3) + u?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 0*i + i)*(-1 - 7*i + 1) + 0*i**2 + 5*i**2 - 3*i**2.\nAnswer: -19*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from waxwswexwasexx?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*b**4 + 24*b**3 + 3*b**2 - 1426?\nAnswer: 40*b**3 + 72*b**2 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -79*f + 20. Let g be x(-4). Suppose -343*b + g*b = -28. Solve 2*m + 3*h = -2 + 1, b*h - 7 = -m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 180895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -72, -2, 11 in decreasing order.\nAnswer: 11, 4, -2, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 48.37 in -4, 5, -1\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 7:17 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n*n*n\/(n*(n**(-2\/7)\/n*n)\/n)*n*n**(1\/5)*n**(-3)*n**5 assuming n is positive.\nAnswer: n**(262\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 3*t + 5*d, 35*t - 33*t = -5*d - 31 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.135 + -0.088. Let n = 0.0405 - y. Round n to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1008 and 6720.\nAnswer: 20160","meta":{"dup_signals":{},"source":"numbers__lcm_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: Is 420319981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3 + y - 6 - 2 + 2. Let o be c(13). Suppose 0 = o*l - j - 317, 5*l - 3*l - 3*j - 151 = 0. Round l to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 20 (b) 0 (c) -1\/3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, -0.1, 4, 0, -3, 11, -0.58452?\nAnswer: -0.58452","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 1 = 0, 2*d - 2*t + t - 27 = 0. Let k(u) = 8*u - 20. Let o be k(d). Let m = -47 + o. What is the greatest common factor of m and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1032 is divided by 128.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 3*a**2 + 3*a - 3. Let b(n) = -8*n - 38. Let i(u) = -10*u + 15. Let p be i(2). Let y be b(p). Give r(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 116204126 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/21, 1\/4, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-70)\/16)\/(24\/96)*6\/(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + g**2 - 6*g - 4. Let i be l(5). Suppose 4*s - 8*s = -i. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 127 - -39. Differentiate -44*p**2 - 48 - 11*p + 5*p + 8*p + l wrt p.\nAnswer: -88*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p + 6*p - p)*((2 - 2 - p)*(3 - 4 + 3) + 3 - 3 + 2*p + (-3 - 1 + 3)*(-p + 6*p - 4*p)).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*y = 32 + 221. Find the first derivative of -154 - 4*a + 6*a - y*a**2 + 221 - 154 + 2*a**2 wrt a.\nAnswer: -18*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/9792 and -9\/24701.\nAnswer: 14227776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 5200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*t + 7. Let f be 3\/(-15) - t\/(-15). Differentiate 2*r + f - 3 - 3*r with respect to r.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*(s**8*s)\/s))**39 assuming s is positive.\nAnswer: s**(-312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -5\/715746?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 4*z + 2. Let f(o) = 0 + 1 + z*o - o**2 - 3*o + 2*o. Let v(c) = -c**2 + 2*c + 2. Give -6*f(m) + 3*v(m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -268*(-790)\/80*2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*o - 100*o + 26*o.\nAnswer: -143*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a\/a**(8\/11)*a*a**0\/a assuming a is positive.\nAnswer: a**(14\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j + j - 2*j)*(j**2 + j - j) + j**3 + 33*j**3 + 9*j**3 to the form l + m*j**3 + b*j**2 + v*j and give m.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*t, 2*t + 337 = 3*u + t. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*k = -0*d + 2, 4*d = 5*k + 17. Let g(z) = -z**3 - 11*z**2 - 15*z - 50. Let l be g(-10). Suppose -d*v + 5*v + 54 = l. Which is smaller: v or 19?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-17*(-88)\/1870)\/((-2)\/(-10)). Solve -14*f + 10*f = -3*j + 10, d*j = 2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 102 + -81. Suppose 2*t = -2*v + 6*t + 8, -5*t - 1 = 2*v. Suppose -u = v*u - o. What is the remainder when 13 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 0.3, -1, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6020 and 19460.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.09 + -3.91. Let w = 38.03 - 6.33. Let m = 32 - w. What is the biggest value in m, b, 2\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**3 - 798 + 393 + 405.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = -5*r - 107. Let v = 89 + r. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9bc0 (base 13) in base 10?\nAnswer: 21788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -3\/7, -5, -8, 150\/47, 17.2, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 s when two letters picked without replacement from {o: 2, r: 2, s: 3, c: 2, f: 2, v: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -653 - -656. Solve -z*w - 17 = g - 3, w - 17 = 4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k*k\/((k\/(k*((k**(1\/2)\/k*k)\/k)\/k))\/k*k)*k)\/k*k*k))**(6\/13)\/(k**(-2)\/k)**(-48\/5) assuming k is positive.\nAnswer: k**(-1917\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 24, 36, 46, 54?\n\"Answer: -p**2 + 15*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1130677830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 + 25. Let z = 1 - 1. Suppose z = -b*m + 305 - 87. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 42 - -44838?\nAnswer: 4487a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/13, -2, -3\/4, 1548?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 196457 and 7169297?\nAnswer: 2767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = x + 16, -11 = 5*x - 4*t + 6. Let y be 6*(2 - 9\/6). Let p(b) = 3*b + y*b + 5*b. What is p(x)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*p - 1. Let g = -6.1 + -0.9. Let v = g + 6.9. Is p greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/7 + (-50)\/(-10)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36905, -73806, -110707, -147608, -184509, -221410?\nAnswer: -258311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10375.0372 - -2.\nAnswer: -10373.0372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - w = 46, -4*w + 2*w = 5*j - 97. Calculate the remainder when j is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 168.\nAnswer: -1\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 14. Suppose 10*p + 14*p - 48 = 0. Suppose -b = -p*j - 1. Solve -15 = 4*n - 3*a, a = 2*n - j*n - 5 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z**3 + z**2 + 3*z - 27. Let h(y) = 3*y**3 + 2*y - 27. What is 3*h(u) - 2*m(u)?\nAnswer: -u**3 - 2*u**2 - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrz. What is prob of sequence rrz?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3248588035 divided by -4\nAnswer: -3248588035\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c + 1. Let i = -5 - -1. Give w(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.18, -4, -1, -2\/31, 1 in increasing order.\nAnswer: -4, -1, -2\/31, 0.18, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 312*i**4*t**3 + 13*i**4 + 126*i*t**3 - 6*i wrt i?\nAnswer: 3744*i**2*t**3 + 156*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1544788, -1, 2\/5, -4, -1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4380 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, z: 1, m: 1, g: 1, l: 2, q: 1}. What is prob of picking 1 l and 1 w?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 18632656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 228 = 2*d, 4*i = -3*d - d + 448. Is 31 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.71401 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6805 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -7*n - 6*n + 1 + 6*n. Suppose -2 - 6 = -2*k. Suppose 5*f + k*i - 21 = 0, 0 = -f - 4*f - 3*i + 17. Calculate h(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)\/(-6*sqrt(22)\/sqrt(11)))\/(sqrt(1944)*5))**2.\nAnswer: 1\/145800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4004 - -4003. What is the nearest to 0.15 in 3, -3\/7, s?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -69*c - 199. Suppose -2*s = -4*s - 6. What is the remainder when ((-13)\/s)\/((-3)\/(-9)) is divided by d(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + (3 - 1)\/(-1 + -1). Suppose -v - j = -44, h*v - 220 = j - 2*j. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 12:04 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -21075, -2\/5, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6\/3 + -30 + 1047226\/37391\nAnswer: 2\/269","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1210030 (base 4) to base 8\nAnswer: -14414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 78398*a**2*p**3 + 888*a**2 - 2*a*p**3 - 1152*a wrt p?\nAnswer: 235194*a**2*p**2 - 6*a*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/51)\/i**5*i**(-7\/2)\/(i**(-1\/5)\/i) assuming i is positive.\nAnswer: i**(-3703\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3*c + 12. Determine s so that 10*s + 14*s + 32 + c*s + 4*s**2 = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 7) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 8*o**3 - 81*o**2 + 92*o + 3. What is a(9)?\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -10 - (26\/10 - (-18)\/45).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1331) + 2)*-4 + -5.\nAnswer: 11 + 88*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3 + 3 = 0. What is the least common multiple of t and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c - -37549?\nAnswer: 3753b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 l when four letters picked without replacement from {j: 2, z: 4, l: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, 5\/6, 95, -2, -2\/3 in descending order.\nAnswer: 95, 6, 1, 5\/6, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 34129 less than 34130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2164, 2141, 2120, 2101?\n\"Answer: s**2 - 26*s + 2189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/7 + 223280108*d - 43622255799930206.\nAnswer: -2*(d - 390740189)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -94 times -0.03\nAnswer: 2.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 57 (base 9) to base 7\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2368 - 0.3368. Which is the nearest to 0.1? (a) r (b) 4 (c) 2\/7 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4516562 + -43959849.\nAnswer: -39443287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -111633.\nAnswer: -44653.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 121 - -540. Let v = 831 - w. What is the remainder when v is divided by 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 6:34 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -126 - -597. Suppose -159 + f = 4*r. Is 7 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 0*t + 4*t)*(-2*t**2 + 2*t**2 - 10*t**3) + (-2*t**4 - 1 + 1)*(4 - 3 + 1) - t**4 + 3*t**4 - t**4 - 3*t**4 - 44 + 44.\nAnswer: -46*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/190 and 550\/(-456) - 1350\/(-1080).\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/14 + 104\/560. Let z = -0.68 + 42.68. Let h = z + -41. What is the biggest value in u, -1\/2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 5:47 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14643 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**3 + 29*p**2 + 17*p + 11. Let g = 95 - 112. Let y(o) = o**3 + 10*o**2 + 6*o + 4. Give g*y(k) + 6*z(k).\nAnswer: k**3 + 4*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -220 + 1. Let d = -215 - i. What is the biggest value in -3, 2\/13, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/9))**1\/(n*n\/(n*n*n*n**8)*n*n*n**19*n*n*n) assuming n is positive.\nAnswer: n**(-136\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10909, -22370, -33831, -45292, -56753?\n\"Answer: -11461*u + 552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**2\/5 + 11447178*m\/5 + 10919823680307\/5 = 0 for m.\nAnswer: -1907863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m**(-2\/5)*m)\/m)\/m)**(-17\/5)\/(m**(-3)*m\/m**5)*(m**(-4)*m\/m**3)**(-46) assuming m is positive.\nAnswer: m**(7109\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 51\/8 of a centimeter?\nAnswer: 63750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/23)*d**(6\/11)\/d*d)\/(d*((((d\/(d*d\/d**20*d*d))\/d)\/d)\/d)\/d)**(-9\/4) assuming d is positive.\nAnswer: d**(16259\/506)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bvbz when four letters picked without replacement from {z: 1, o: 5, v: 7, t: 1, n: 1, b: 2}.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 594?\nAnswer: -589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 6*u**2 - 2*u - 7. Let i be -4*(-1)\/4 + -6. Let o be f(i). Suppose -5 = -r + o. Calculate the greatest common factor of 3 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -36\/743 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4779, 100, -2\/13, 4?\nAnswer: 4779","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 13*j**3 - 23*j**2 - 47*j + 90. Determine p(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.07 (b) -50 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 414096 and 414096 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*u - 15, 188*u - 4*o = 183*u - 13. Let y = 0 - -2. Solve -x = y*x - u for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*v**3 - 8*v**3 + 4*v**2 + 2*v - 2*v**2 - 6*v - 2 to w*v**3 + j*v + m*v**2 + p and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 9) to base 8\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 56) + 40 + -39 - ((35 - 32) + -15)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-603*m**2 + 563*m**2 + 2*m + 0*m)*(m**2 + 0*m**2 + m**2) to f*m**3 + r*m + q*m**4 + s + d*m**2 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2042.\nAnswer: 2, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**12)**25 assuming n is positive.\nAnswer: n**300","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -13*t + 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.00726 - -0.08563. What is n rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1886 - 864. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-3\/10)\/n)\/((n**6*n*n)\/n)*n**3*n**(3\/4)*(n*n**(-4)\/n)\/n**(2\/17)*(n**(-1\/2))**(-49) assuming n is positive.\nAnswer: n**(5723\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 - 19. Calculate the smallest common multiple of w and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**(-2\/35)*c)*c*c*c**(-7\/3)\/c*c)\/(c*((c\/(c*(c\/(c\/c**(-2\/3))*c)\/c))\/c)\/c*c)**(-25))**(-30) assuming c is positive.\nAnswer: c**(-3208\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 8 = 2*x, -4*k + k = -4*x + 5. Let w(v) = v - 5. Let y be w(9). Is 17 a factor of (17\/(-4))\/(x\/y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 0.4, -5, -0.4, -20?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 12) in base 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 147 or 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15637 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) -1\/4 (c) 4\/7 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1014 + 5073\/5. Which is the second biggest value? (a) 2.7 (b) o (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 + 2*u - 23. Let k be x(0). Let z = k - -110. What is the remainder when z is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 9*o**2 + 11*o + 11. Let h = -45 + 85. What is the remainder when h is divided by s(10)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15468, -40287, -65088, -89865, -114612?\nAnswer: -139323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.063, -1, -119, 0.5 in descending order.\nAnswer: 0.5, 0.063, -1, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.271 + -0.271. Let r be ((-1)\/(-6 - 1))\/(-229 - -230). Let p = 1 - 3. Which is the third smallest value? (a) r (b) s (c) -5 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3872, -3988, -4104?\nAnswer: -4220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - n - 78, -z + 2*n + 14 = n. Let d = -9 + 36. Let c be (-129)\/(-27) + 6\/d. Solve c*s - z = 9 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of c**5\/5 + c**4\/6 - c**3\/6 + 17*c + 1. Suppose -a = -0*a - 49. Let b be 3\/2 - a\/14. Determine x(b).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (8 + -16 + 3 - 2)) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*t = -2. Suppose d - 5*k = 5 + 5, 0 = -d - 3*k + 2. Suppose -24 = -d*o + 2*o. Solve -2*z - t = -o for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 658.9516 tonnes?\nAnswer: 658951600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -4*v - 528, -19 = 4*z + 2*v - 535. Suppose m = -4*m + z. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 683971 (base 14) to base 5\nAnswer: 1401404432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.2, -0.2, 5, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 19\/19 - (-2486)\/(-2474). Let m = -43427\/27214 - i. What is the common denominator of m and ((-60)\/990)\/(4\/267)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*h + 18*h**2 - 4*h**3 - 38*h**2 + 18*h**2 to the form p*h**2 + r + a*h + t*h**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3523002 and -0.06.\nAnswer: -0.021138012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 651 a factor of 47088783?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4603, 9216, 13843, 18490, 23163?\n\"Answer: d**3 + d**2 + 4603*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -7. Suppose -5*a + 13*q + 101 = 9*q, 16 = a - 5*q. What is the least common multiple of u and a?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 366397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 713 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 321419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 4*o - 5*t - 26 = 0, 4*t + 8 = -4*o. Let n = -247 - -2715\/11. Let g = 0 + 0.1. What is the nearest to g in -0.5, o, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + -8 + 5 - -98. Let m = q - -12. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 3*y = -12 - 7, 0 = 4*f - y - 5. List the prime factors of 0\/f + -4 + 2 - -879.\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 1313640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**2\/10 + 715827*l - 2562041469645\/2 = 0. Calculate l.\nAnswer: 3579135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 54511618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**2\/2 - 37*n = 0.\nAnswer: 0, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6132 + -6125. Let m be ((-3)\/6)\/((-1)\/98). Suppose -3*o = 2*w - 21, 5*o + 3*w + 14 = m. Calculate the highest common divisor of o and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-35)\/(70\/(-6)) - (0 + -13179)\/3. Suppose 3*i + 3*q - 30 = 6*q, 3*i - 10 = -q. Suppose -w + i*w = g. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, x: 2, p: 1}. Give prob of sequence pxh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**37*p*p*p*p**(-3\/11) assuming p is positive.\nAnswer: p**(437\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z**2 - 11*z - 2. Let g be m(0). Let k(x) = -24*x - 5. Let v(f) = 6*f + 1. What is g*k(d) - 9*v(d)?\nAnswer: -6*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1067*i - 1224*i - 1630*i + (-4 + 5 + 1)*(1 - 1 - i))*(0 + 5 - 3).\nAnswer: -7846*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -3657.467 to the nearest ten.\nAnswer: -3660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -167566 - 3?\nAnswer: -167570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 2:34 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 1. Let j be 44\/(-6)*(-2 + 5). Let g = j - -43\/2. Which is the closest to g? (a) 2\/13 (b) 5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmk. Give prob of sequence mmk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**0)**(-31)*(a**(-2\/11))**(-46) assuming a is positive.\nAnswer: a**(-249\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(2 + 2)*3. Let t be (5\/4)\/((-3)\/d). Solve t = s - 3*a, s + 2 = -5*a - 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 1 = -l. Suppose 4*t = l*t. Suppose -2*s = 3*b - 4, 5*b = 3*s - t*b - 44. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2 - 3*b - 15. Let n be y(4). Find the second derivative of -128*p**n + 4 + p + 48*p**5 - 88*p**5 wrt p.\nAnswer: -3360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/18*15\/275 + (-3021)\/110\nAnswer: -55\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -s**5\/60 + 1138*s**2. Let i(h) = -2029*h**2. Calculate i(w(b)).\nAnswer: -2029*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42.3 - -42. Sort -2\/7, 7, -0.01, d in decreasing order.\nAnswer: 7, -0.01, -2\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + 0\/(-5) + -18. Is (-8)\/b + 1730\/35 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, k: 3, p: 2, c: 1}. What is prob of sequence cppk?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -233 - -2574. Does 21 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: -21667a0 (base 12) to base 8\nAnswer: -30177350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*l**2 + 3*l**2 - 6*l**2)*(-3 + 3 - 2*l) + 6*l**3 - 3*l**3 - 2*l**3 + 7*l**3 + l**3 + 6*l**3)*(-18*l**2 - 12 + 12).\nAnswer: -306*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j. Let n be i(-4). Suppose -4*v + d = -355, 0*v + n*d = v - 70. Suppose y - 2*o = -48, 5*o - 21 = -2*y - v. Round y to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2109 - -4761. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1255*g**2 - 196*g + 2 wrt g?\nAnswer: 2510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 11193 divided by 861\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -7. Let p = 102 - 919\/9. Which is the nearest to -2\/7? (a) -1\/2 (b) p (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -72.22593243 to 2 dps.\nAnswer: -72.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/2 + (-3 - 0). What is the second derivative of 6*m - 9*m - 9*m + m**d wrt m?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -98452 + 98404.397. Round t to the nearest integer.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - -1)*13 - 1. Let a = -9 - g. Let r(c) = 2*c**2 - 4*c + 7. Is r(a) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 2*d - 11 = 0, 18 = -3*a - 317*d + 314*d for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022120122012 - -10?\nAnswer: -1022120122002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4173 + -4172.8. Which is the nearest to 0? (a) y (b) 0.4 (c) -3\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -0*d + 3*d. Let j be ((-1)\/d)\/((-5)\/1245). Suppose m - j = -6. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 9 + 105 = 0. Let a = 89 - x. Suppose a - 2565 = -6*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4*d**3 - 14*d**2 + 3*d + 27. Let s be u(-7). Suppose -3*a + m = -529, 4*a + 2*m = -0*m + s. List the prime factors of a.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3493463 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 52799 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05 + 0.29. What is o rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*b + 87310 = 119*b - 97388. What is the lowest common multiple of b and 33?\nAnswer: 21846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of 3*h**3\/2 + 7*h**2\/2 + 173*h. Let p(a) = -3*a - 2. What is 6*i(k) + 21*p(k)?\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/99 + (-158)\/22. Let q be (1\/1)\/(g\/(-35)). Is q less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 119764434.\nAnswer: 11976443.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -35552, -70894, -106236, -141578, -176920?\n\"Answer: -35342*h - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/4 + -3*145\/(-20). Solve 0*s + 3*s - 2*d - r = 0, 5*d = 4*s - 41 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 312 + -314. Let r(g) = 2*g**3 + g**2 + 52*g + 50*g + 48*g - 155*g - 5. Determine r(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4133*f**4 + 37*f**3 + 6049887*f?\nAnswer: -49596*f**2 + 222*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 240647581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*z**3 + 1244*z**2 - 567855 with respect to z.\nAnswer: 69*z**2 + 2488*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -28837.6?\nAnswer: 28836.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2 + 5534*x**2 + 9*x**3 - x - 2768*x**2 - 2766*x**2. Calculate j(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**4 + 62852*w**3 + 314312*w**2 - 62852*w - 314310 = 0.\nAnswer: -5, -1, 1, 31431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -419\/2 (b) -870801 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 61 + 9 = 0. Let l be 35\/f + 1\/2. List the prime factors of l\/(3\/((-9)\/2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121263 is divided by 349?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2223, 2244, 2309, 2442, 2667?\nAnswer: 3008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 245760 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 9:22 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 2*n - 19. Determine d(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(2 - 3 + 0)*(-7 + 2 + 4)*(19*a**2 - 56*a**2 - 73*a**2).\nAnswer: 110*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 10:23 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20322 to the power of 1\/2, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (73\/(-4) - 1)*-4. Suppose -5*v = 27 - u. Solve 0 = 2*p + 3*p + v for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 <= -0.14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 5*c**4\/12 + c**3\/3 + 5*c**2. Let q(u) = 10*u + 2. Let z(a) = 4*h(a) - 5*q(a). Is 9 a factor of z(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 8:16 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-30)*(-6)\/12. Which is the closest to g? (a) 18 (b) -2\/19 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1670483593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 79, 160, 239, 316, 391, 464?\n\"Answer: -p**2 + 84*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*p - 34 + 34 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 1042\nAnswer: 3\/1042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k. Let i(t) = -t + 2. Let n be i(-4). Let v(s) = 8*s**2 + 6. Let g(z) = 17*z**2 + 13. Let y(u) = n*g(u) - 13*v(u). Determine y(p(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 2*t + 30. List the prime factors of a(-9).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-2*(-4)\/(-24))\/((-65)\/65))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-8)\/12 + -7 + 144360\/27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 727726550.999833 - 727726169. Let h = -377.02 + -4.98. Let s = h + o. Round s to five dps.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k + 9*k + 14759 + 2*k**3 - 4*k.\nAnswer: 2*k**3 + 14759","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (36 - 64)*(-17)\/1*2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 a when four letters picked without replacement from {i: 12, a: 6}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-3)*-3*(-3)\/(-18))\/(7830\/174)?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + -26)\/(22\/374). Let u = c + 395. Factor 7\/3*t**3 + 0 - 5*t**2 + 3*t - 1\/3*t**u.\nAnswer: -t*(t - 3)**2*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -1\/5, -1.562287 in decreasing order.\nAnswer: 1, -1\/5, -1.562287, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337468 = 2*x + 4*f + 337374, 0 = -83*x - 5*f + 198 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7136476 and 3952.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 - 1597 + 1597.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, -2, 137.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 4 - 1)*(9*m**4 - 7*m**4 + 10*m**2 + 23252*m**3 - 23253*m**3) to the form a*m**2 + r*m**4 + c*m + b + p*m**3 and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -84038, -166952, -249868, -332786, -415706, -498628?\n\"Answer: -p**2 - 82911*p - 1126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 255217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -558*d**2 - 30*d - 61*d + 89*d to g*d + c*d**2 + a and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 0 + 5 + 16 + -17?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-773.\nAnswer: 231.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 66 - 31 = 0. What is the highest common factor of 15 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 2\/17 (b) 1 (c) 9\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -5, 12457, -1, 3892.\nAnswer: -5, -1, 1, 2, 3892, 12457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/3 and 19\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -614 at most -610?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 425779242 to the power of 1\/2, to the nearest integer?\nAnswer: 20634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 44\/11 + (-2)\/2. Let w = 6 - c. Let o(r) = -2*r**2 + 4*r - 4. Determine o(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3040310 - -5?\nAnswer: 3040315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -269*r**2 + 1067*r**2 + 630*r**2 to m + y*r + x*r**2 and give x.\nAnswer: 1428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*h**5 - h**5 + 4*h**5 + 18*h**5 + 2*h**5 - 6*h**5 + (-h**4 - 4 + 4)*(-2*h + 5*h - 2*h) + 4*h**5 - 3*h**5 - 9*h**5.\nAnswer: h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138503, 138511, 138531, 138569, 138631, 138723, 138851, 139021?\nAnswer: 139239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of 61*o**6\/12 + 157*o**5\/15 - 2*o**2 - 48*o. Find the third derivative of p(m) wrt m.\nAnswer: 3660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**2*m**3 - 1725*h**2*m + h**2 + 6752*m**5 wrt m.\nAnswer: 12*h**2*m + 135040*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 256 and 2986928.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 10, k: 2, f: 1, o: 4}. Give prob of sequence fkk.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 124\/(-10)*4\/(-3)*164\/(-3936) and -77\/180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240 is divided by (-1768)\/(-80) + 2\/(-20)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 4. Suppose -3*v = h*m - 9*m - 77, -2*v = 2*m - 46. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.19 * -98269.\nAnswer: -18671.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/10 and -107\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -11 - (73 + 16 + -3 + 5).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((0 + sqrt(720))**2*-4 - (3 + sqrt(5) + 3 + -1)).\nAnswer: -2881 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 341?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 316 + -312. What is the third derivative of -583*d**g + 0 + 9*d**2 + 542*d**4 + 1 wrt d?\nAnswer: -984*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-one eighths of a day?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7443024 divided by -42776.\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11202514 + -112?\nAnswer: -11203030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*d + 6*d. Let v = d - -2. Solve w = v*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -130*u**2 - u. Let o(f) = -83805*f + 2*f**2 + 83805*f. Calculate o(l(v)).\nAnswer: 33800*v**4 + 520*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2431 is divided by 1021.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 866686 and 51543?\nAnswer: 23400522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 2. Suppose 4*y + 30 = -y. Let s be 2\/4 - (-1)\/y. Which is smaller: o or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 392*q + 7676. What is m(-19)?\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-26)\/(-39) + 2\/6. Suppose 5*x = 3*z + y, 0 = x - 4*x - 2*z - 7. Let o(l) = -l - 1. Calculate o(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 8*i - 5. Let x be r(7). Suppose 6 = -2*l, 0 = 2*c + x*l + l + 7. List the prime factors of 7 + -2*c + 1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 72 = 62, -2*w - 7*n = -5986. What are the prime factors of w?\nAnswer: 2, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -536, 64, 13979 in increasing order.\nAnswer: -536, 64, 13979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 11*q**2 + 13*q + 6. Let t(i) = -4*i**2 - 4*i - 2. Let s(b) = -3*l(b) - 8*t(b). Let p be 45\/(-10) + (-1)\/2. Give s(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**4 + 137638*m**3 - 4764323317*m**2 + 1945413755364*m - 199777814581284 = 0. Calculate m.\nAnswer: 206, 68613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36751 and 143.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a century in years?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 157179509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61 - 3*z - 50 + 86 + 25.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-15 + (-513)\/(-38))*(-19660)\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 5399 = -3*t - 5434, 0 = p - 5*t - 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 33256 divided by -80\nAnswer: -4157\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -151253\/29028 - -855\/164. Let f be 0 + 3\/(-9)*-3. Which is smaller: f or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 + v**2 - 3*v**3 + 17*v**3 - 1688*v + 1688*v + 4 + v**3 - 4 + (-3*v**2 + 4*v**2 - 2*v**2)*(-3*v + 0 + 0).\nAnswer: 18*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61 + 65. Suppose 0 = v - 3*y - 3, 0 = 5*v - 0*v + 3*y + 3. Suppose -s*h - 2*m + 4*m + 392 = v, 172 = 2*h + 5*m. Does 24 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*q = 344, -r - 9*q - 341 = -13*q. Let h = r + 387. Suppose 8 = l - 16. Calculate the remainder when h is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1062 or 1?\nAnswer: 1\/1062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 686 and 154?\nAnswer: 7546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 36*v - 184. Give j(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*s**3*w**2 + 22*s**3 + 7*s**2*w**2 + 94*s**2*w + 2*s*w - 2*w wrt s?\nAnswer: -204*w**2 + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*3\/12*(-1407720)\/(-316737).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 343*i - 3120 = 83*i for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2101292500?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 84*y**2 + 5 - 248*y**2 + 80*y**2 + 3 + 74*y**2 + y in the form i*y**2 + q + l*y and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by ((-64)\/20 + 2)\/(10\/(-325))?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8978 and 201?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 12) in base 9?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*v - 2*u + 167, -4*v = -2*u + 122. Suppose -4*s + a + 443 = -s, -s - 5*a = -121. Let r = s + v. What are the prime factors of r?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6583 = -25*z - 7108 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**2 + 3*g - 12. Let f be m(4). Suppose -18 = 5*p - f. What is the third derivative of -6*r**2 + 105*r**6 - 114*r**p + 11*r**2 wrt r?\nAnswer: -1080*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -422 - -3211?\nAnswer: 2234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -688199 divided by -9?\nAnswer: 688199\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -10*s**2 + 0 - 13\/24*s**4 - 1\/120*s**6 - 5\/2*s**3 + 0*s - 11\/60*s**5. What is q(-10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89958497077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 6 = -d + 2*v, -5*d = -2*v + 6. Let o be 4\/3 + d\/(-3). Solve -o*u + 4*p + 14 = -0*p, 3*u + p = -7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -7744*l**3\/3 + 38*l**2 + 24*l - 1. Let d be v(2). Round d to the nearest one thousand.\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 - 10. Suppose o + 3*q = 98, 5*q - 7*q = -2*o + 236. What is the remainder when o is divided by g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 212.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -21. Suppose -t + 4 = -h. Solve 1 = -h*u + u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 5*k + 4 = 0, 2 - 4 = 4*p + 5*k for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 143 + -128.4. Let v = 46.4 + f. Which is smaller: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**3*s**2 + 28*i**3 + i**2*s + s**5 + 17*s**4 wrt s.\nAnswer: -2*i**3 + 20*s**3 + 204*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 430399122 to the nearest integer?\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-4))\/(4\/(-28)) + 5. Solve -11*z + r = -5*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57\/(-570)*(12\/(-5))\/(-3).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -31a3 (base 12) to base 5\nAnswer: -133301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*f**2 + 4*f**2 - 9*f**2 + 20*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-232)\/(-10) - (16 + (-21)\/70*6004\/114).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**2\/3 + 638*v\/3 - 17264\/3 = 0.\nAnswer: -664, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**4 - 257445*c**3 + 84986500*c**2 + 343035180*c + 344064880 = 0.\nAnswer: -51817, -2, 332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10100 (base 2) to base 10\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3143108318?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 13, 0.4, 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -9*z + 210. Let j be (-5)\/10*(-9)\/(36\/32). Suppose -q = -j*q + z. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 1634138\nAnswer: 2\/817069","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 36*m**2 - 1066*m - 3183. Calculate w(-3).\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -3278580?\nAnswer: -3278574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*g**4 + 10*g**3 + 397*g**2?\nAnswer: -120*g + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 172188, 4, -3, -43, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lj when two letters picked without replacement from jljjljjjljlljlllljjj.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -1\/15*q**5 - 5\/9*q**3 - 1\/3*q**4 + 0*q - 1\/3*q**2 + 4. Determine i so that r(i) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 14 = -805. Let x = o - 98. Solve y - 2*r - 2 = -y, 0 = -5*y - 5*r - x for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 9) in base 16?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/1317348 and 13\/53946.\nAnswer: 106705188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - v**4 - 3*v)*(-4*v + 3*v + 0*v) + 4*v**5 - 2*v**5 - 3*v**5 + (2*v**4 + 3*v**3 - 3*v**3)*(2*v - 2*v - 2*v) + 13*v**5 + 0*v**5 + v**5.\nAnswer: 10*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 18\/2399809?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -878154, -1756311, -2634468?\nAnswer: -3512625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2. Let g(i) = -20*i - 80. Let u(l) = 40*d(l) - g(l). Let h(t) = 2*t. Give h(u(v)).\nAnswer: 40*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -34251 - -1?\nAnswer: -34250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 790 divided by 2284?\nAnswer: 395\/1142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 151*s. Let t(v) = 28*v**2 + 22*v**2 - 49*v**2. Give f(t(m)).\nAnswer: 151*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2\/7 of a week?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5 + (sqrt(176) + sqrt(176)*-1)**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**5\/13 + 10536*h**4\/13 - 31620*h**3\/13 + 31624*h**2\/13 - 10542*h\/13.\nAnswer: 2*h*(h - 1)**3*(h + 5271)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-69)\/(-69))\/(4\/246*21\/1736). Sort 2\/17, i, -3 in increasing order.\nAnswer: -3, 2\/17, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 q when four letters picked without replacement from {z: 3, e: 5, q: 4, s: 1}.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -52\/5 + 2*u**2 + 126\/5*u = 0.\nAnswer: -13, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 3 = g, 3*l = -4*g - 0*l + 23 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*j + 43. Let o be (j*6\/(-72))\/2. Let f = 8.7 - -29.3. What is the third smallest value in o, f, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12467, 49917, 112357, 199787, 312207, 449617, 612017?\nAnswer: 799407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10602 + 54437. What is the ten thousands digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*y - 4*j, 0 = 4*y - 5*j + 8 + 2. Suppose y = -a + 2, -2*v + 8 = -5*a + 26. What is the units digit of 3 + v - (-7 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 16, 2, 3, 257.\nAnswer: -6, 2, 3, 16, 257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 5*p = 1732. Suppose -8*n = -3*n + 1935. Let w = p + n. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/15 and 47\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 205 times 0.1?\nAnswer: 20.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 8*d**2 + 17*d. Let z be a(-5). Let n = 19 + -37. What are the prime factors of (n\/5)\/(3\/z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.17661 - 0.245466. Round f to three decimal places.\nAnswer: -0.069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1132 in 0.2, -0.44, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, r: 1, f: 3, x: 3}. Give prob of sequence xf.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-9)\/4 + 2). Suppose 3*d + y*n = 3 + 4, 0 = 5*d - 5*n - 35. Solve 5*c - 20 = d for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 + 9628*l - 443680.\nAnswer: -4*(l - 2360)*(l - 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 240, -297, -834?\nAnswer: -1371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y - y - y + (-2*y + y - y)*(4 - 3 + 1) + (0*y - 2*y + 4*y)*(-4 + 2 - 1) + 6 + 5*y - 6.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 325a - 111?\nAnswer: 3149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*z - 6 = 30*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7539572 millilitres?\nAnswer: 0.0007539572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of s**7\/70 + 3*s**6\/40 + s**5\/10 + s**2 + 72. Factor x(y).\nAnswer: 3*y**2*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(76)\/(sqrt(16)\/sqrt(4)) - -5*-1*sqrt(19))**2*5*-2.\nAnswer: 3040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 91*m - 88*m - 3 + 192*m to the form w + z*m and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 47 - 19 = 0. Differentiate -53 - c**2 + k - 18*c**2 with respect to c.\nAnswer: -38*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4944 divided by 2472?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4*d + 357 = 0. Let o = d + 178. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -99.1 - -3.1. Let t = n + 96.39. Let k = t - -0.06. Round k to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 1:59 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 16 = -4*p, 10 - 32 = -4*t - 3*p. Suppose 27*d - 28*d - 1895 = -5*g, 5*d = t*g - 1495. List the prime factors of g.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = f + 97, -578*f + 573*f = -4*y + 65 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 19*z - 19. Calculate y(18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g = -179 - 181. Let y = -310 - -50. Let s = -20 - y. Calculate the highest common factor of s and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.4 - 2. Let x = -389 - -384. Let u be (1*(5 - 4))\/1. What is the second biggest value in r, x, u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/((-63)\/(-15)))\/(3\/7)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -255 - -249. Suppose w + 4 = a - 2*a, -4*a = -2*w - 20. Let y be 0 - 1\/(g\/(-8))*w. Solve -y = -3*l - 23 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -534.8 + 537.8. Which is the fourth biggest value? (a) l (b) -5 (c) 2\/3 (d) -3 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-39)*m)**(-17)\/(m**(-4)\/m*m**(-3\/17)) assuming m is positive.\nAnswer: m**(11070\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4560, 6124, 7688, 9252, 10816, 12380?\n\"Answer: 1564*k + 2996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, s: 1, r: 2, a: 2, b: 3, u: 6}. Give prob of sequence wsw.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*c + 160 - 160)*(0 + 24*c**4 - 44*c**4 - 1).\nAnswer: -600*c**5 - 30*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 415052?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 + -9)\/(1 + -2). What is the highest common divisor of v and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0239 + 1.0239. Suppose -4*k - 25 = -9*k. Let c(s) = -s - 4. Let g be c(0). What is the smallest value in d, k, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -830 - -828. Let n(w) = 3*w**2 + 3*w + 5. What is n(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225706562?\nAnswer: 2, 112853281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1120 and 1420.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 341972 - 0.1.\nAnswer: 341971.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -v**4\/2 - 4*v**3\/3 - 2*v**2 - 2*v - 8. Determine j(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 39, 166, 385, 702, 1123, 1654, 2301?\n\"Answer: l**3 + 40*l**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3 = -2*g + 9, 0 = g - 3*k - 3. Suppose -4*q - m + 8 = 0, 3*m - 2 - 1 = -5*q. Suppose -3*u = -q - g. Solve u*a - 3 = a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -456.41 minus -7?\nAnswer: -449.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 k when two letters picked without replacement from {z: 4, k: 1, r: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, q: 1, d: 1, z: 8, j: 1}. What is prob of picking 1 g, 1 d, and 1 j?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -3068.2724596 to the nearest integer.\nAnswer: -3068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*y = 292*y + 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2216060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000026804094 rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7991 - 7913. Calculate the greatest common divisor of m and 923.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/(-10)*(20\/(-6))\/5*(-52560)\/1680?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 4 - 8. Let w = -402 - -404. Solve 0*x + x - s = w*q, 4*x + 4*q = 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-190)\/45 - (-7)\/(252\/8). Sort 3, 2, r in decreasing order.\nAnswer: 3, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -15, -21, -27?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 4*m - 14. Let n be v(-7). Which is bigger: n or 6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jqccjcqqcqqjqj. What is prob of sequence jc?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25? (a) -5 (b) 278 (c) -3 (d) 7\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -336963\/1064 - -2535\/8. Is -1 less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0*q - 28 = 5*q, 124 = -5*u + q. Let j = -2308 - -2312. Put -4, u, 1, j in increasing order.\nAnswer: u, -4, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -50.8, -3, -1 in descending order.\nAnswer: -1, -3, -50.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*t - 184*t + 882 = 0. Let w = t + 455. Calculate the remainder when 110 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -38*m**3 - 3*m**2 + 4*m. Let z(l) = -38*l**3 - 2*l**2 + 3*l. Let s(o) = 2*f(o) - 3*z(o). Is s(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 143091.96 hours?\nAnswer: 5962.165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -2*s + 47. Let l = 371 + -263. Calculate the greatest common divisor of l and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 211 + -1?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 89208 to the power of 1\/2, to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.18, -4, 26658, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxcc. Give prob of picking 2 c.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 335482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -344241 - 30?\nAnswer: -344321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 9*j**3 + j**2 + j. Let n = 14 - -26. Let p = 39 - n. What is t(p)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m\/m**(-1\/13)))\/m**(6\/5) assuming m is positive.\nAnswer: m**(-18\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 16 = 3*l, -4*l - 17 = -4*h + 3*h. Let c = -8 + h. Let b = 0.6 + 2.4. What is the second biggest value in -2, b, c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 11. Let x be (-10 - -2) + 112\/28. Which is the closest to x? (a) 2\/3 (b) q (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 4)*(4*s**2 - 6*s**2 + 0*s**2) + 2*s + s**2 - 2*s + (4 + 0 - 1)*(-2*s**2 - 3 + 3).\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*y - 0, 12*s + y = -25 - 36 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**3 + 35*h**2 - 180 = 0. What is h?\nAnswer: -6, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-2) + 4109\/70 + 3. Let l = v + -60. Which is bigger: l or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 1039 (c) -0.1 (d) 2.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4832, -9577, -14272, -18911, -23488?\n\"Answer: c**3 + 19*c**2 - 4809*c - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 814 and 55.\nAnswer: 4070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 109780 and 75555.\nAnswer: 1658885580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*t + 23*t + 25*t + 409 + 422 - 831.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 4*h**2 - 6*h + 3. Let k(c) = -c**3 - 3*c**2 + 5*c - 3. Give 3*j(t) + 4*k(t).\nAnswer: -t**3 + 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 2*a - 4*a + (-3*a + 2*a + 3*a)*(1 - 2 + 0) + a + 0 + 0 + 0*a - 2*a + 0*a + 0*a + 2*a + 0*a)*(3 - 3 - 2*a).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -1 + 11*m**3 - 6*m + 0*m - 12*m**3 - 7*m**2. What is z(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 192 = 5*r, -2*f + 6*r - 10*r = -426. What is the greatest common divisor of 18 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.21815812 to 3 dps.\nAnswer: -4.218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (5 - -1) - (-9 + (-3 - -1)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8966228 to the power of 1\/2, to the nearest integer?\nAnswer: 2994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 0)\/((-4)\/(-4)). Sort 5, m, 7 in descending order.\nAnswer: 7, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 0*t**5 + 0*t**3 + 53\/2*t**2 - 2 - 30*t - 16\/15*t**6 + 0*t**4. What is the first derivative of x(a) wrt a?\nAnswer: -128*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 157.3 times -3\nAnswer: -471.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -87, -302, -413, -216, 493, 1918?\n\"Answer: 34*q**3 - 152*q**2 + 3*q + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1316 - -5337?\nAnswer: 6651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4*(3*sqrt(832) + 1 + 0 + sqrt(832) + 1 + 1).\nAnswer: 8 + 128*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28781*f - 57646*f + 28875*f.\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxa when three letters picked without replacement from waawmxmaxmaxmwax.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -92*g + 373. Give p(5).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 69668+32763\nAnswer: 102431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -562, -1, 77 in descending order.\nAnswer: 77, -1, -562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1862, -5129, -10578, -18209, -28022?\n\"Answer: -1091*t**2 + 6*t - 777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 42 (b) 0.3 (c) 12 (d) 2\/13 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + b = 7, 3*y + 5*b = -2*y + 5. Find the third derivative of y + 2*j**3 - 2 + 2*j**2 + 0*j**3 wrt j.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 1 - 2. Let g be (-3 - (w - 1)) + 3. Let m be 12\/2 - (-11 + 11) - g. Solve -p + m = 0, 0 = -j - 3*p + 4*p for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 689279, 1378565, 2067859, 2757161, 3446471?\n\"Answer: 4*u**2 + 689274*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 115 + 31 = 5*g, 0 = -4*r - 4*g + 312. Are r and 77 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*q**3 + 45*q**3 + 54*q**3.\nAnswer: 9*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.51, 11, -1\/4, 0.08669 in decreasing order.\nAnswer: 11, 0.08669, -1\/4, -0.51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5475\/175 - 31 - (-270)\/(-14).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -64 - -104. Suppose i + 4*i = 2*b + 17, b + 1 = i. Suppose b*h - 6 = -4*d - 2, 5*h - d - 17 = 0. Solve -3*y + 3*l + 27 = 0, -h*l + 7*l = 5*y - n for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 13096 = 2*w - 14929, 3*z - 69996 = -5*w. Is 3 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 45*d**2 - 42*d + 143. What are the prime factors of n(46)?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -166111832*x**2 + x + 128521963.\nAnswer: -332223664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-24))\/((-4)\/(-12)). Let o be 25\/7 - (-68)\/(-119). What is the nearest to 1 in m, 4\/5, o?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-1.75\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*t - 0*t. Suppose -524 = -t*g + 152. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.5 (b) -84\/13 (c) 0.4 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 1035\/46 - (-140)\/16*2?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 2) + 2 - 0 - -10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -25*c**2 - 2*c. Let u(s) = -49*s**2 - 5*s. Let g(n) = 2*u(n) - 5*w(n). Let l(h) = h**2. What is g(l(a))?\nAnswer: 27*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 3*v = 0. Suppose 3*f = -v*f + 15. Solve 2*h = f*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(3\/(-1))*6\/(-7)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 3:17 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232112103 (base 4) in base 2?\nAnswer: 1101110010110010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/((-1216)\/(-48))*24\/(-36)*(-445)\/15.\nAnswer: 89\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, -3\/2, -1, -11, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3233221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -256 + 430. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 32844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 0)\/((-7)\/(20\/(-20))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*b = -35537 - 54849. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -32?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28568409.\nAnswer: 3, 9522803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/104*-16*(3\/8)\/(-3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 4*q + 4. Let r = -0.83773 - -0.33773. Which is the closest to r? (a) q (b) -3\/5 (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5569.42365 minutes to weeks.\nAnswer: 0.5525221875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9413784532172*a + 5*a**2 + 9413784532172*a.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*1*sqrt(684).\nAnswer: -30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 6111222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-18)*p\/(p\/(p*p**12)*p))\/(p**9*p**(-2)))**(4\/19) assuming p is positive.\nAnswer: p**(-52\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/26536 and -99\/10.\nAnswer: 132680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 727, -4, -67, 0, 200 in decreasing order.\nAnswer: 727, 200, 0, -2, -4, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 9492?\nAnswer: -9492.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46982*n**2 + 93967*n**2 - 46988*n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 - 32. Let s(u) = 10*u + 4 + j - 13. Give s(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*p + 64*p + 14 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 26*t + 7. Is d(3) 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 1:29 AM and 10:36 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.04 + 0.34. Let h = -6.1 + 6. Let y = x - h. Which is the closest to -2? (a) 0 (b) y (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -7*x + 43 - 38 - 38*x + 2*x. Let t be d(-10). Suppose -569 = -4*l + t. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of 5*f**4\/12 + 65*f**3\/6 - 75*f**2 + 16*f. Factor i(c).\nAnswer: 5*(c - 2)*(c + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**(-2)))**43*m**(-5\/7)\/(m*m\/m**(-8\/7)*m) assuming m is positive.\nAnswer: m**(-636\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 7 + 8*j + j**2 + j**2 - 11*j. What is the tens digit of o(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -170.6417662 to 1 decimal place.\nAnswer: -170.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -16, 4, -5, 11, 2\/123, -28?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -11*n + 221. Let d be s(27). Is 15 a factor of d\/(-114) - (-1994)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 232 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30493824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 3*w**2 + 2*w - 1. Suppose -u + 2*u = -4. Let y be z(u). Let q be -3 - (-2 + y\/(-6)). What is the second biggest value in 1\/5, q, -3\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.796 - 1.99. Let h = 33.77 - 34. Let m = h - d. Round m to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3525877862 rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence joo when three letters picked without replacement from jooloylyyyb.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*q**2 + 0*q**4 - 2*q**4 - 1 + 2 + 13*q**2 - 2*q to the form l*q**2 + n*q**4 + r + d*q**3 + o*q and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 34997 and -1813.\nAnswer: -63449561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 785*x + 3*r - 22 = 780*x, -x = -r - 6. Suppose 4*n = -0*n. Which is the third biggest value? (a) 4 (b) x (c) 3 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 + 44 = -o - 3*i, -207*i - 5775 = 24*i for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 9*v. Let p be (1 + v)*0\/2. Suppose 2*m + p*m - 1106 = 0. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 765197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k*l*w**2 - 15*k*l + 20*k*w + 155*l*w**4 + 2*l*w wrt w.\nAnswer: -4*k*l + 1860*l*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 16. Let b = -15 + 8. Let t be (-36)\/16 + 2 - b\/(-4). Let q(l) = 3. Determine t*w(d) + 11*q(d).\nAnswer: 2*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15356 by -7678.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*w = 12*w + 37530. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 458660.\nAnswer: 2, 5, 17, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -859624 (base 12) to base 8.\nAnswer: -10032474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2717 is divided by 1037.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44.13 - 66.69. Which is greater: y or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 6*q**2 + 5*q - 2. Let y(l) = l**2 + l - 1. What is b(k) - 2*y(k)?\nAnswer: 4*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -20187, -19859, -19535, -19215, -18899, -18587, -18279?\n\"Answer: -2*d**2 + 334*d - 20519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-24)*10\/2*99\/44?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.35 and 3908.\nAnswer: -1367.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 19*y = -99. Let t be (-492)\/y + (-10)\/(-75)*-5. Suppose 3*j + 57 = 2*o, 4*o - 142 + 33 = j. Calculate the greatest common factor of o and t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 7*c**2 - 5*c + 2. Let m be p(4). Suppose m*z - 90*z = -4. Let v(q) = 2*q**2 + q. Give v(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 339 + -338. What is the third smallest value in 0.3, 0.5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.252 (b) -0.5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*x - 11 = 0, 5*d + 2*x + 3*x = -15. Let g = -16 - -17. What is the tens digit of (d\/6)\/(g\/(-78))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/2 + (-65)\/21 and (-7150)\/(-1225) - ((-3)\/(-6)*4 + 4).\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26154 (base 7) to base 13\nAnswer: -3216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 152*a**7\/21 + 109*a**4\/6 - 338*a. Find the third derivative of s(c) wrt c.\nAnswer: 18240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.7 - -10.7. What is the nearest to -0.2 in n, -1\/3, -3\/8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-7) + 8\/(-28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-76)\/(-16))\/19*((-426)\/(-8))\/(3\/(-16)).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19 (base 10) to base 8.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*q**3 - 2 + 0 + 6*q**3 + q**4 - 17*q**2 + q - 3*q to s*q + d + c*q**3 + k*q**2 + u*q**4 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 + 3*b**2 - 2*b**2)*(0 + 1 + 1) - 107 + 367*b**2 - 88 + 195.\nAnswer: 369*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -14 - (4 - 2\/(-8)*-4*-3). Let u(r) = 7*r**2 - 2*r + 4. Let t be u(4). List the prime factors of (-2 + i\/(-6))*t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(99) - (sqrt(99) - sqrt(99)*1 - sqrt(99))) + sqrt(99) - sqrt(99))\/((2*sqrt(81))\/sqrt(9))*4)**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-4))\/(14\/112). What is the third derivative of 7*b**6 + 0*b**3 + 0*b**3 - 12*b**l - 5*b**6 wrt b?\nAnswer: 240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 49*q - 75. Let b be o(8). Let h = 8 + b. Is h a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -0.7489\nAnswer: 1.4978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2361 = -8*d - 2289 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 1\/3, 0.3, -15, -12 in descending order.\nAnswer: 14, 1\/3, 0.3, -12, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 5:20 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 12. Let w(y) = -y**3 + 7*y**2 + 9*y. Is 8 a factor of w(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - h + 3. Let l be t(0). Suppose 0 = -2*c - 78 + 82. Factor -r**3 + 15*r**2 + c - 8*r - 4*r**l + 2*r**4 - 3*r**2 - 3*r**3.\nAnswer: 2*(r - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(288)*3 + -5 + sqrt(288) - (-3 + (sqrt(288)*2 - sqrt(288)) + sqrt(288)) - (2 + -3 + (sqrt(288) - (0 + sqrt(288) + 1) - sqrt(288)))))**2.\nAnswer: 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 14 - 2. Let o be 2\/y*(-3)\/6. Which is the nearest to 0.1? (a) o (b) 4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*c + 144*c - 14121 = 469*c for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((2 + -3)*1). Let h(f) = -74*f. Let w(a) = 149*a. Let x(q) = -5*h(q) - 2*w(q). Let t be x(u). What is the greatest common divisor of 18 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**4 - 4*b**4 + 2*b**4)*(-598 + 1216 - 759).\nAnswer: 705*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253962?\nAnswer: 2, 3, 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/(20\/(-50))*4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-182)\/20 + 43\/(2150\/30)?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from occnwoegocw. Give prob of picking 2 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -50055 at least as big as -50074?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*j - 5*j + 11*j)*(-2*j - 2*j + 5*j)*(2*j**3 - j**2 - 2*j**2 + 5*j**2).\nAnswer: -48*j**5 - 48*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -476\/306091 or 1?\nAnswer: -476\/306091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71716471.\nAnswer: 37, 197, 9839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 228*i**2 - 818*i - 80829. Give q(233).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1282 by 2.\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s + 3. Calculate b(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 112 + 467 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3331*o + 3237*o = -1598 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2526*b - 229*b + 116*b = -2773*b - 248928 for b.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 101*y - 41*y + 35 - 40*y - 36 - 237 as p*y + n and give n.\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -m**5\/10 - 17*m**4\/24 + 17*m**3\/6 + 75*m**2 - m. Let j(q) = 2*q**2 + 6*q - 6. Determine 17*j(i) + 6*u(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -220 + 236. Let c = 82 + l. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 470\/141*(5720\/(-75))\/(-22)*(-9)\/(-2)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53731\/7764 - 5\/1294. Let b(n) = -2*n**3 + 43*n**2 - 28*n + 30. Let v be b(22). Calculate the common denominator of i and (v\/(-50))\/((-24)\/10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 3*m**2 - 5*m + 5. Suppose -5*q = -2*g + 40, 5 = -5*g + 30. What is the remainder when i(q) is divided by (-372)\/403*(-18 + -20 + 25)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 9:31 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/((c\/c**(2\/43))\/c)*c)\/c*c)\/c)\/c**(-11))\/(c*c*c**6)**(-50) assuming c is positive.\nAnswer: c**(17718\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 6*n - q = 45, 5*n = 4*q + 70. Sort 18, n, 0, -4, 5 in decreasing order.\nAnswer: 18, n, 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/3)\/x*(x\/x**4)\/x)\/(x**(-1\/3))**30)\/(((x**(-3\/7)\/x)\/x**8)\/(x\/x**(-2\/5)*x**(2\/19))) assuming x is positive.\nAnswer: x**(33118\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*d + 18 = 2*q, 0 = 3*d + 3. Let x = -23 + 40. Suppose q*g - x = -2. Is 3 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*q. Suppose k - 4 + 0 = q. Let x(v) = -v**2 + 2*v + 3. Determine x(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 272 - 270. Suppose 2*s - u*t + 480 = 1578, 5*t = 10. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8105)\/(-1955) + -4 + (4 - (-188)\/(-46)).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + r - 16 = 0. Suppose -r*d = -t - 20, 0 = -2*d + 4*t + 11 + 13. Suppose d*u - 37 = 15. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2802 + 2805. Solve -4*t - 4 = -4*l, -2*t = -l - p*l for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -6566 and -6566 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/((-456)\/(-42))*(-4)\/(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46 + 51.9. Let g = -5.96 + c. Let j = -0.0559 - g. What is j rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -293 + 288. Suppose -16 = w + 5*j, -2*w = -4*w + 5*j + 28. Sort -3, w, 5, s in descending order.\nAnswer: 5, w, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 410151 is divided by 1637?\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6527 + -4?\nAnswer: -652b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/166 and ((-796)\/(-120) + -37 + 37)\/(7*-1).\nAnswer: 17430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + ((-33)\/(-3) - (14 - (-465)\/(-15)))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/10*((-357)\/(-49) + -7).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -628 + 631.01. Let t = 0.01 - o. Let w = -0.11 - 0.19. Which is the second biggest value? (a) t (b) 0.2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, b: 2}. What is prob of picking 1 b and 2 m?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -9922 equal to -9924?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**2\/5 - 101116*p\/5 + 303366\/5 = 0.\nAnswer: -50561, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ippwpiwpiixppiwiwx. What is prob of sequence xxpp?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of s**7\/210 - 3*s**6\/40 + 29*s**5\/60 - 13*s**4\/8 + 3*s**3 + 60*s**2. Factor t(l).\nAnswer: (l - 3)**2*(l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2365546?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 + 4*q**3 + 2*q - 4*q**3 - 139 + 108 - q**3 to the form c*q + r*q**2 + o + n*q**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of m**7\/1890 - m**6\/360 + m**5\/180 - m**4\/216 - 5*m**2 + 19. Let a(f) be the second derivative of s(f). Factor a(h).\nAnswer: h*(h - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.27379627 times -0.4\nAnswer: -0.109518508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 755574011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 - (-15 + 13) - 13) + 6?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -193, -384, -573, -760, -945?\nAnswer: -1128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4915168.\nAnswer: 2, 269, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4*l = 1, -4*y - 16 = 2*l - 12. What is the thousands digit of ((-1)\/2)\/(y\/6708)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02803 and 6?\nAnswer: -0.16818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-10 + -4 + 12)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**2 - f**2 - f**3 + (5*f - f**2 - 5*f)*(-4*f + 0*f + 6*f) - 263*f + 263*f - 21*f**3.\nAnswer: -24*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*m + 30 = -194 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-2\/15)\/m))**(-18)\/(((m\/(m\/(m**(-20\/7)*m)))\/m)\/(m*m\/(m*(m*m\/m**(10\/7))\/m*m)*m)))**(-40) assuming m is positive.\nAnswer: m**(9552\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 486389 - 1507514308?\nAnswer: -1507027919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/18)\/(21\/(-28)*(-2)\/15).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 13 = 2*h, 16*h - 8 = 2*m + 15*h. Which is bigger: 20\/321 or m?\nAnswer: 20\/321","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 202.1 + -49.8. Let m = -143 + z. Round m to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2904325337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 + 15*o - 308. What is u(-18)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-28994)\/(-16568)*((-407)\/(-7) + 3)\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l + 15. Let q be b(0). Suppose 2*u - 7*u + q = 0. Suppose 4*i + 80 = 2*d + 2*d, 68 = u*d - 5*i. Round d to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -41?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2001526979 to the nearest integer?\nAnswer: 1260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence as when two letters picked without replacement from {a: 1, s: 1, g: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-15) - 8\/(-10). Let d be v*(7 - (-4)\/(-2)). Which is the third smallest value? (a) -3 (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 + (-288 + 144 - 21)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3693*t - 1907 wrt t.\nAnswer: -3693","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -258, -595, -1070, -1683?\nAnswer: -2434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - k - 4 = -0, 5*l - 5*k = 0. Let m(i) = 277*i**2 - i. Let x be m(l). Calculate the common denominator of -3 - x\/(-88)*2 and 49\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v + v - 5*v)*(0 + 5 - 3) - 1343 + 1343 + 150*v + 47*v to the form w + k*v and give k.\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 243728 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*3 + (-5883)\/(-742). Let j = h + -325\/7. Calculate the common denominator of j and (2\/8)\/((-10)\/132).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 460 - 460.167. What is b rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -33*w - 2607. Calculate d(-79).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) 19 (c) 5\/2 (d) 3 (e) -1.8 (f) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -228309 or -228320?\nAnswer: -228309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(54*-10))\/((-945)\/(-1080))*-6.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 19*u**2 + u - 14. Is f(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -106 + 108. Let o(m) = -41*m**j + 97*m**2 + 2*m + 2*m - 42*m**2 + m**3 + 7*m - 28. Determine o(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 12.17, -1\/3, -2\/7, 2, 5, -2\/35?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*y**3 + 25*y**3 - 3*y - 36*y**3 + 29*y - 20*y.\nAnswer: -39*y**3 + 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9167.71 - 335.\nAnswer: -9502.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 1 + 3. Let c be ((-10)\/8)\/(t\/(-4)). Let v be 3\/c + (-17)\/(-5). Solve 0 = -3*g - 2 - v for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**11\/j**4)\/(j**(-41)\/j)**33)**(-48) assuming j is positive.\nAnswer: j**(-66864)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -x + 3714, a - 7444 = -3*a - 6*x. List the prime factors of a.\nAnswer: 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-238*o + 182*o - 867*o)*(-4*o**2 + o**2 + o**2).\nAnswer: 1846*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 3*a + 72, 0 = -3*r - 2*a + 52 + 10. 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: -25863362+-0.86\nAnswer: -25863362.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 2*k - 18, -5*o + 0*k - 3*k = 11. Let y(m) = -12*m + 15*m + 2 + m**2 - 3. What is y(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 60 = -63*h - 3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1414 and 606?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 10*j - 2*j - 7 - 14*j. Let c(q) = -q + 1. Determine -21*c(r) - 3*s(r).\nAnswer: 39*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 - -21?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 9:35 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 5*t**3)*(-t - 1734 + 3*t**2 + 1737 - 8*t**2) + 0*t**5 - 5*t**5 + 2*t**5.\nAnswer: 22*t**5 + 5*t**4 - 15*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5*g - 45. What is the smallest common multiple of g and (-1 - 76\/(-28))\/((-6)\/(-63))?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6635 + 6631 + (-2 - (-57 - 1 - 2)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*w**4*y - w**3*y**2 - w - 371*y**2 wrt w.\nAnswer: -132*w**2*y - 6*w*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -2. Suppose 0 = 5*d - b*i + 5440, -5*d = -3*d - i + 2179. What is the units digit of -6 + 2 - d\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000031677 rounded to 7 dps?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 3*z + 1. Let i(v) = 4*v - 3*v + 0*v. Let b(q) = -q**3 + 5*q**2 + 3*q - 6. Let l be b(5). Suppose 5*y - 2*y = l. Determine y*i(n) + u(n).\nAnswer: -n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 20 = -5*a, t - 45 = -3*a. Let p = 400 + -364. Calculate the greatest common factor of t and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 b when three letters picked without replacement from {w: 4, c: 2, b: 3}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**3\/3 + 1675*b**2 + 2045241*b - 149205807 = 0?\nAnswer: -2547, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -4*g**2 + 16916*g - 101352 = 0.\nAnswer: 6, 4223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26479, -49684, -72889, -96094?\nAnswer: -119299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 113, 111, 109, 107, 105, 103?\n\"Answer: -2*i + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) -0.5 (c) 2\/3 (d) 95\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g + 1. Let l be x(-2). Suppose 0 = 5*u + 5*o - 205, 0*u - 2*u - l*o = -76. List the prime factors of u.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**3 + w**3 + 41 - 47)*(25 - 25 - 26*w).\nAnswer: -26*w**4 + 156*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*x**2 + 86*x**2 - 10*x**2 + 54*x**2 + 2*x as z + f*x + b*x**2 and give b.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, 4\/7, 167\/2, -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1556, 6094, 13656, 24242?\n\"Answer: 1512*z**2 + 2*z + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.05, 2\/9, 1.5767, -2\/11?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/4 + (-1)\/(-4). Let s = 33.7 + -34.2. Which is the smallest value? (a) s (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 0 + 3 + 836*a + 0 - 1 - 4. Let p(l) = 2*l**2. Give p(u(o)).\nAnswer: 1397792*o**2 - 6688*o + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5979602 and 1.4?\nAnswer: 5979600.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7190059 and 13788.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 284, 288, 296, 308, 324?\nAnswer: 344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -4*i**3\/3 - 1. Let c(o) = 0 + 0 + 533*o**2 - 532*o**2. Determine c(b(z)).\nAnswer: 16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -68*w + 818, -71*w - 5*n + 58 = -39*w - 28*w for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 957\/(-5) - (-12)\/30. Let x = p + 358. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 141630355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of 25*x**3\/6 + 6472*x. Let s(g) = 6*g + 8. Let m(r) = -r - 1. Let q(a) = -24*m(a) - 3*s(a). What is 6*k(n) - 26*q(n)?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.19606 and -0.1?\nAnswer: 0.019606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 9:02 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 7*l. Let f(y) be the third derivative of 0*y**3 + 0*y + l*y**5 + 0*y**4 - y**2 + 0 - 1\/80*y**6 - 1\/280*y**7. Factor f(t).\nAnswer: -3*t**3*(t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 7:55 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 829.\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 420*x - 441. Let c(r) = -6*r. Let n(w) = -c(w) + z(w). Find the first derivative of n(g) wrt g.\nAnswer: 426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 4*k - 39, -3*k - 7 - 10 = 2*c. Let l be (12\/14)\/(c\/343). List the prime factors of (-474)\/l - (-8)\/(-28).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/9 - (-88)\/6. Suppose 3*m + 3*w + 12 = 0, -w = 2*m + 3*w + x. Let n(u) = 7*u**3 - u - 1. What is n(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -5*g**3 - 2*g**2 + 2*g - 1. Let b(w) = -15*w**3 - 7*w**2 + 7*w - 4. Give 2*b(u) - 7*m(u).\nAnswer: 5*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -596 = 43*t - 80 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.9 - -5.9. Sort -1.5, 0.1, o.\nAnswer: o, -1.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 21*v**6\/10 - 31*v**4\/12 + v + 12. Find the third derivative of b(x) wrt x.\nAnswer: 1512*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = x - 2*x - 4, -b = 4*x - 5. Find the second derivative of 2*k**3 + x*k - 6*k + k + 0*k**3 wrt k.\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 236\/(-12)*(-36)\/6. Suppose -58 - u = -11*y. Solve c + 16 = -4*g, 3*c = -g + 1 - y for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6*o**2. Let i(m) = m - 1. Let s(g) = 4*g**2 + 3. Let z(q) = 3*i(q) + s(q). Let f(p) = 3*p**2 + 2*p. Let n(u) = -3*f(u) + 2*z(u). Determine k(n(x)).\nAnswer: 6*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4136, -4, -3 in descending order.\nAnswer: 4136, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 11*l**3 - 1. Is 10 a factor of t(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + (9 - 23) + 9 + (-1 - 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 272605 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000246886 to 7 decimal places.\nAnswer: 0.0000247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vooo when four letters picked without replacement from {v: 2, a: 5, o: 8, s: 2}.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 15318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1*98996\nAnswer: -98996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 5*v + 1345, -7*y - 2*v - 1339 = -12*y. What is the remainder when y is divided by 67?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60093763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*w**3 + 8*w**2 - 83*w**3 - 89*w**3 - 8*w**2.\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 58 or 637\/11?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15\/2? (a) -2\/9 (b) 27 (c) 2 (d) 18.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229464 is divided by 223?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 2563, 0.1, 4\/9 in decreasing order.\nAnswer: 2563, 9, 4\/9, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oq when two letters picked without replacement from qqqkhkhkrok.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -0.229518461?\nAnswer: -2.229518461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2747 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: Let p(h) = h**2 - 98*h - 3196. Suppose 2*c - 3*u - 78 = 0, -2*c + 70 = -2*u + 3*u. Calculate the smallest common multiple of p(-26) and c.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 1. Let l(c) = -2*c + 4. Let v(q) = -12*f(q) + 3*l(q). Let u(j) = -j. What is u(v(z))?\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1423 + -1354.3. Round r to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 982252 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (92 + -64 + 51)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 2:21 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 694117 is divided by 401.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -8*p**4\/3 - p**3\/3 + p**2\/2 + 12*p - 5. What is l(1)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 5) in base 8?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29154856?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 4*k - 16, -3*x + 5*k - 17 = -7*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 divided by -61471.\nAnswer: -65\/61471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -6, -5*a - 8 = q + 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n. Let l(s) be the second derivative of -s**6\/180 + 3*s**3\/2 - 11*s. Let b(t) be the second derivative of l(t). Determine b(c(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + (-14)\/6)*-3 - -3. Let m be (-12)\/(-15)*(-10)\/z. Which is smaller: -10 or m?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 + 32. Let y = -4212 - -4212. Which is the nearest to -3? (a) y (b) 6 (c) 2\/23 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 9*g + 9. Let p be h(9). Let f = -7 + p. What is the second derivative of -o**f + 5*o + 0*o - 3*o wrt o?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 945 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 4:23 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-14)*j)**(-6\/7)\/((j**(-4\/5)\/j)\/(j**(-15)*j)) assuming j is positive.\nAnswer: j**(-37\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-42)*(0 + -5 + 11).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 4*l + 4*x - 51 = 0, 4*x + 4 = 0. Solve -b - 13 = -l for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-12635)\/(-95))\/(-665))\/((-5)\/3275)\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 107 = -5*m + 43, 2*m - 65 = 3*u. Let d be ((-2)\/5)\/((-1085)\/m). Let p be (0*(-3)\/21)\/(-1 - 1). Is p < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -943640 divided by -20\nAnswer: 47182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -58944*j**6 + 2*j**4 + 296*j**2 - 4*j + 103 wrt j?\nAnswer: -7073280*j**3 + 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -6*x**3 + 1175*x**2 - 17286*x + 357. Give q(16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.6 - 7.6. Let h = 2 + u. Let v = -15\/4 - -13\/4. Which is the third smallest value? (a) 0 (b) v (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 835*s - 18 = 4*f + 830*s, 0 = s - 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10\/33, -1, 2\/521?\nAnswer: 2\/521","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3321 by 2495.\nAnswer: 3321\/2495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -645.5 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1489 - -3?\nAnswer: 1492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 80 = 2*g. Suppose -2*y = -4*y + g. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104212 (base 6) to base 10.\nAnswer: -8720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-40)*-5)\/(2\/12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1162*z + 10668 - 385*z - 369*z - 10668 - 391*z.\nAnswer: 17*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -417392 bigger than -417393?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -329*u - 2625. What is the remainder when s(-27) is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a century?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 0 + (10 - 24).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (x + 0*x - 3*x)*(-17 - 8 - 7) in the form v*x + b and give v.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 14 = 49. Let z = -6 - b. Put -1, z, -3 in decreasing order.\nAnswer: z, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (475\/(-30))\/(-19)*(-3)\/10.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6036815 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 10*v**2 + 21*v - 21. Let d(h) = -3*h**2 - 7*h + 7. Let b(y) = 17*d(y) + 6*m(y). Let g(l) = -8*l**2 - 6*l + 6. What is 6*b(z) + 7*g(z)?\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-609)\/49 + 9\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132 - 29*b + 18*b + 20*b - 45 - 39*b + 29*b.\nAnswer: -b + 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100000000110010 (base 2) to base 14.\nAnswer: 5dbc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -581*u - 3097*u - 44 + 44 to v + s*u and give s.\nAnswer: -3678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13496 and 168.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2993779211 rounded to 3 decimal places?\nAnswer: -1.299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2. Let q(g) be the third derivative of -g**7\/2520 - 23*g**4\/12 + 26*g**2. Let p(a) be the second derivative of q(a). Give f(p(m)).\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 8*b + 27. Determine w(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1518*k**2*q + 7*k*q**2*z - k*q*z + k*q + q**2*z - 9978*q**2 + q*z - 2*q with respect to k.\nAnswer: 3036*k*q + 7*q**2*z - q*z + q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26688 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 313 = 244*d - 2859. Solve d*t + 7*t = 60 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -2, -4, -7 in descending order.\nAnswer: 15, -2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.12 + -0.12. Let f = 1 + a. Let y = -2 - -6. Put y, -2, f in decreasing order.\nAnswer: y, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 55*h**2*q**3 - 327553*h*q**3 - 47*q**3 + 108*q**2 - 675*q wrt h?\nAnswer: 110*h*q**3 - 327553*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -508352256 by 122112.\nAnswer: -4163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 6*w. Let n(p) = -p + 35. Let j be n(28). Let x(z) = j*z - 6*z + 4*z - 6*z. Give x(u(m)).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -16*x**3\/9 - 50*x**2\/3 - 8*x + 348. Factor s(o).\nAnswer: -4*(o + 6)*(4*o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**3 - 2*k**2 - 2*k + 2. Let g be l(2). Suppose -2*p + g = -2*x, -x + 2*x - 9 = -5*p. What are the prime factors of (p\/(-4))\/(1\/(-14))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 20, -2*z = 4*u - 7*u - 19. Suppose z*j - 25 = -3*j. Solve 3 + j = -2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(-5 + 3 + 0)*(d + 1 - 1)*(-1 - 3*d + 1).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express o**4 + 3*o**4 + 2 - 3*o**4 - 3*o**2 - 2*o**3 - 2*o**2 - o as x*o**2 + m*o + q + w*o**3 + k*o**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 9*f**2 + 404*f - 260. Determine c(-53).\nAnswer: 3609","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - a + 3*a)*(-32*a + 2*a - 15*a)*(a + 3*a**2 - a).\nAnswer: -540*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 104\/52*(-1)\/((-4)\/(-14)). Let g be z - -12 - 27\/5. Which is the second smallest value? (a) 0.1 (b) g (c) 50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43.3 + -43. Which is the smallest value? (a) 2\/5 (b) w (c) 4\/3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 484\/(-24)) + (-8 - 530\/(-60))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 32783 and -0.01.\nAnswer: -327.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 5, -0.4, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**3 + 20*l**2 + 13*l - 2. What is the remainder when 585 is divided by j(-9)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 454243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -520043*w**3 - 3205225 wrt w?\nAnswer: -1560129*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 11*f + 2*f**2 - 14 - 5*f + 8. Let y be x(-5). Let b = 22 - y. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -49*z - 79. What is m(-3)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1620\/(-5346)*(-902)\/(-12710)\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24195556?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -39\/5?\nAnswer: -39\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 o when two letters picked without replacement from {j: 1, y: 2, h: 1, o: 1, a: 2, l: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -m**8\/1176 - 23*m**7\/735 - 163*m**6\/420 - 361*m**5\/210 - 80*m**4\/21 - 100*m**3\/21 - 9*m**2 + 7*m. Factor h(w).\nAnswer: -2*(w + 1)**3*(w + 10)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 4*m - 3, -2*w + 12 = -6*w. Put 3, m, -4 in ascending order.\nAnswer: -4, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.7088503 to 3 dps.\nAnswer: -9.709","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3651 divide 531373842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2865*(-1 + 40\/24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32\/9 + 10\/3. Which is the nearest to q? (a) 0.1 (b) -0.5 (c) 1\/7 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/162 + 44409769\/(-807813).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 70*o**3 - o**2 + 11. Let c(k) = -14*k**3 - 2. Let r(v) = 11*c(v) + 2*g(v). What is the third derivative of r(a) wrt a?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -18606, 4, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 4748355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 665\/(-57)*8\/10*(-270)\/(-20)\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) -1\/5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence php when three letters picked without replacement from {d: 3, p: 4, y: 1, h: 2, e: 1}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 6.2949537 microseconds?\nAnswer: 0.00000000174859825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 48\/40*(-10)\/(-4). Solve u*x = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32 - 544*x + 1383*x - 32 + 3218*x + (3*x + x - x)*(-5 + 2 + 2) to p*x + w and give p.\nAnswer: 4054","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 772, 1671, 2568, 3463, 4356, 5247?\nAnswer: 6136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -113, -241, -369, -497?\nAnswer: -625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o - 12. Let s be r(-5). What is the lowest common multiple of s\/9 - (-182)\/9 and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12.7 or 0?\nAnswer: -12.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-2*sqrt(8))\/sqrt(4) + sqrt(6)\/(-1*sqrt(147)) + 5)**2 + 3.\nAnswer: -300*sqrt(2)\/7 + 5497\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -30266 <= -47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/25 - (-15)\/(-25). Let s = u + 1\/45. Sort -0.1, s, 0.6 in increasing order.\nAnswer: -0.1, s, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s - 3*s + 2*s**2. Let r(y) be the first derivative of 17*y**3\/3 + 65. Determine q(r(v)).\nAnswer: 578*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11780 and 760.\nAnswer: 23560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*g = -10*g + 4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1355 - 2319?\nAnswer: -3674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 893\/1410 + (-2)\/15\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*u + 3 = 1, 0 = -3*t + 2*u + 3. Let a = t + 3. What is the remainder when 13 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/4)\/(42\/(-16)). Which is the nearest to i? (a) 0.4 (b) -2 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, -163, -253, -347, -445, -547?\nAnswer: -653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/310*-1*1*4. Let t = 23\/124 + s. What is the closest to t in 4, -2\/5, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35360694?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 14 - 38. Let r be (3\/(-3))\/((-1)\/(-2)). Let y be 3 + b - r\/4. Which is greater: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3309522?\nAnswer: 2, 3, 551587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -16*y**3. Let v be u(-1). Suppose -9*z + v = -7*z. Solve 2*j = -2*j - z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 260902, 260906, 260912, 260920, 260930, 260942, 260956?\n\"Answer: b**2 + b + 260900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hl when two letters picked without replacement from klhkfffhkh.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8814055\/39 or -226002?\nAnswer: -226002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 38\/16 + (-33)\/88. Solve 5*j = 2*j + 4*q - 1, 2*j = 3*q - s for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 4*b + 3*b + 3*b + b + 28 = -3*v, 50 = 10*b for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 2) in base 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*k - 4 = 0, 0 = 2*y - k - 3 - 9. Is y less than or equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -12*v + 4. Let t be s(-4). Suppose 5*j - t = j. What is the remainder when 51 is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 230056?\nAnswer: -69016.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-48)\/48312)\/((-14)\/(-94779)). Let r = 14816 - 9941544\/671. Let o = r - k. What is the common denominator of -40\/11 and o?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 457 - 1049?\nAnswer: -8c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.1872 rounded to 0 dps?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 348 + -237. Let k = 171 - d. What is the highest common factor of 15 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/36105 and -62\/135.\nAnswer: 324945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - (28 - (-6 + 13 - 16)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 135\/(-25) + (-10)\/(-25)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-6) + 96\/9. Suppose -v*j + 4 = -10*j. Suppose -j*a + 6 = -2, -56 = -3*k + 5*a. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 349200303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of 0*t**2 + t + 0*t**5 - 1\/3*t**3 + 0*t**4 + 0 + 1\/10*t**6. What is the second derivative of v(x) wrt x?\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven thirds of a hour?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 21*d**2 + 4*d - 1. Let h(x) = 2*x**3 + 19*x**2 + 8*x - 30. Let y be h(-9). What is w(y)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9*(8250\/11880)\/((-5)\/6)\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -u**4\/12 - 13*u**3\/6 - 8*u**2 + u. Suppose 3*v = 5*v + 2*a + 30, 0 = 5*a + 20. Let k be j(v). Solve 0 = 5*m - 9 - k for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34574262 and 380?\nAnswer: 345742620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x - 399 + 475 = 0. Let s(g) = g + 1. Let w(f) = -8*f - 10. Let c(j) = -4*j - 5. Let v(n) = 5*c(n) - 3*w(n). What is x*v(h) - 18*s(h)?\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6486.0000001466 - 6486. What is d rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1525, -2836, -4147, -5458?\n\"Answer: -1311*k - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5985 by -5.\nAnswer: -1197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03829798116 to 6 decimal places.\nAnswer: 0.038298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5310)\/1599195)\/((-48)\/208).\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3. Let j(i) = -3*i**3 + 4. Determine -j(h) - 4*u(h).\nAnswer: -h**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*a, -2*y + 5*a + 14 + 22 = 0. Suppose 2*u + 7 = 23. Suppose u*d - 3*d = 180. What is the remainder when d is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -20886 from 0.\nAnswer: 20886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20018069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*n - 0*n. Suppose -3*m - 2 = -8, 0 = -4*v + n*m + 18. What is the third derivative of f**2 + f**v + 0*f + 0*f wrt f?\nAnswer: 120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 760558500?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 3*p - 1590, 4*p - 2874 = -3*s - 754. Let k = -136 + p. List the prime factors of k.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.76746703 to 1 dp.\nAnswer: 7.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-15)\/(45\/4))\/((-2)\/6). Let g be 1085\/(-21) - w - 4\/3. Let x = -52 - g. Calculate the remainder when 33 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 156966540 to the nearest one hundred thousand.\nAnswer: 157000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11603, -46463, -104525, -185789?\nAnswer: -290255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 12 = 0, 0*l - 5*l + 4*y = -46. Suppose l*x - 3*x - 18 = 0. Let c be 5\/2 + 3\/x. Solve -2*v = n + c, v + 3*n - 11 = 5*n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/9 + -7\/9. Let q = -11 - -11.33. Let n = q + -0.23. Which is the biggest value? (a) u (b) 5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f = 19*f - 3*l + 3, f + 8*l = 27 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25509146?\nAnswer: 2, 13, 17, 57713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -150 + 135. Let r be (-54)\/(-15) - 6\/f. Solve 0 = -0*j + r*j + 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42838754 and 64258131?\nAnswer: 128516262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 897.16 centuries to months.\nAnswer: 1076592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -21009 (c) 0.72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 441*l**4 + 66570*l**3 + 2534317*l**2 + 1667420*l + 276676.\nAnswer: (3*l + 1)**2*(7*l + 526)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.007 * 8556.\nAnswer: -59.892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = 29*o - 27*o + 20*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = b - 0, -2*r + b = -11. What is the second derivative of -48*z**4 + 88*z - 19*z + 17*z**r wrt z?\nAnswer: -372*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-169524)\/59832*3\/(-2)\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of o**7\/14 - 7*o**5\/2 - 14*o**3\/3 + 3*o**2\/2 - 70*o + 2. Find the second derivative of q(j) wrt j.\nAnswer: 60*j**3 - 420*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -213\/280 + 31\/35. Let o(d) be the first derivative of 28 + 1\/6*d**3 + 1\/16*d**4 + h*d**2 + 0*d. What is w in o(w) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(1\/10)*f)\/f)\/((f\/(f*f**4\/f))\/f*f)*(f**(-11\/6)\/f)\/(f*f**(6\/7)) assuming f is positive.\nAnswer: f**(-83\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -194.49 bigger than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2564564021?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*a = 1338, -6*b + 5*b + 5*a + 326 = 0. Suppose 20*v - b = 6*v. Solve -t - 2 + 6 = 0, -3*t + v = -4*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*i + 24 + 20 = -52 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 15)\/(-2) - (59 + -56).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f + 2 + 10*f - 11*f**3 - 20*f + 7*f as w*f**2 + g*f + j*f**3 + b and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 499063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.284, -15, -8\/3, -0.16, 2?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12319 - -12074.68. Let z = i + 3.84. Let v = -236 - z. What is v rounded to one decimal place?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((u*u**4*u*u)\/u)**(-8))**(-42))**(-4\/5))**(26\/7) assuming u is positive.\nAnswer: u**(-29952\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1475, -11579, -39003, -92405, -180443?\nAnswer: -311775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 413394176?\nAnswer: 2, 13, 31, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -5 (b) -2\/5 (c) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6014382 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, 330, 22, -184, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4754997957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3426788 to the power of 1\/4, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 22558437 to the power of 1\/2, to the nearest integer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m - 1186 = -1251 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2. Let d = 11911 + -11909. Let a(j) be the third derivative of 0*j**3 + 0 + 18*j**d + 0*j - 7\/8*j**4. Give v(a(x)).\nAnswer: -882*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-14) + (-279744)\/(-448). Let t = s + -199. Is t a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 0 - -3) + 0\/(-4). Let z(x) = x**2 + 7*x + 8. Let q be z(-6). Sort q, b, 1.\nAnswer: 1, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*n + 115 = 0, 5*n - 23 = -10*f + 9*f. Calculate the highest common divisor of f and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 0\/((-24)\/(-3)). Suppose -2*v + 1611 = 5*r - 1456, -3*v - 2*r + 4595 = 0. Let c = -10737\/7 + v. Which is smaller: z or c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(21)\/sqrt(7)*-6)**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3 + (0 + 2 - 1)*(2 - 7 - 2) + 2 - 5 + 2)*(1 + 2 + 1)*(0*g + g - 2*g).\nAnswer: 40*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -35364408 rounded to the nearest ten thousand?\nAnswer: -35360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1144221411 (base 5) in base 11?\nAnswer: 15a249a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 11\/2 of a meter?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 345628 a multiple of 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(55) - (sqrt(275)*-2)\/sqrt(5))\/(sqrt(176)*5))**2.\nAnswer: -3*sqrt(5)\/2 + 2009\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 16 + 8 = 0. Factor 0*i - 2\/7*i**p + 2\/7.\nAnswer: -2*(i - 1)*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 6168 = -2*z + 6143, -5*k + 25 = 2*z for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-150468)\/(-24) - (-2)\/(1 + 3) a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -43a6?\nAnswer: -4400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.079045925 less than -176510?\nAnswer: -176509.920954075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(5*sqrt(6)*6) + 2)*1.\nAnswer: sqrt(2)\/30 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/(-392)*28)\/((-12)\/126)\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 1089 = -4*o. Let g = o + -236. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 2*m - 4. Let f be n(4). Suppose 35 = f*b + b. Let k(y) = -y**3 + 4*y**2 + 2. What is the least common multiple of b and k(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 8:50 AM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*r + 2. Let i = r - -25. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 5906, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, z: 1, t: 1, j: 5, u: 1}. What is prob of picking 1 z and 1 u?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 20.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 38058299329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 + 2103*i.\nAnswer: -i*(i - 2103)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2 - l + 18. Determine d(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -273561 or -273567?\nAnswer: -273567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -14571*a + 1002. What is the thousands digit of h(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(-1))\/((-12)\/6))\/(70\/(-560)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*f - 66 = 0, 5*n - 3*f - 41 - 43 = 0. Let h = n - 25. Let r be 3\/(-9) - h\/3. Sort r, -2, -4 in increasing order.\nAnswer: -4, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 4, -8, -21, -3, 2 in ascending order.\nAnswer: -21, -9, -8, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-56))\/(2\/(-8)). Is -0.7 >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of 0*f**4 - 1\/20*f**5 + 1\/2*f**3 + 0*f + f**2 + 0. Differentiate n(k) wrt k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - n - 9 = 0, -2*a - 2 = 4*n + 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -2 (c) -770 (d) -203\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8179 is divided by 543?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49 + 87. Let c be y\/12*(-1 + 4). Suppose 3*k = 3*v + 12 - 69, -4*k - c = -v. What is the remainder when 26 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 36 = 5*d - 11, -d = 7*v + 29 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 1404*v**2. Let u(l) = -56*l - 3. Determine u(r(h)).\nAnswer: -78624*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 9, d: 2, o: 6}. Give prob of sequence dojo.\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -16\/9, -1, -4, 7.1?\nAnswer: 7.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -2*o + 18. Let a(w) = 5*w - 31. Let d be a(7). Suppose 4*v = -3*c + 12, -d*v = -2*c + 3*c - 12. Solve -4*k = v*u - 9, 2*u - o = -k - 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11885513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -396, -401, -406, -411?\n\"Answer: -5*g - 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 762403, 762307, 762211, 762115, 762019, 761923?\n\"Answer: -96*h + 762499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s. Let b(l) = 84485484*l. Calculate b(d(g)).\nAnswer: 168970968*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 b when four letters picked without replacement from qbbqtbqqqtqqqbbbtb?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/10 - (-817)\/(-645). Sort -0.1, -3, a in increasing order.\nAnswer: -3, a, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - (2 - (-3)\/(-1))\/1. Suppose -2 = -3*g - m, -6*m = 3*g - 7*m + v. Let f(j) = j - 14. Let z be f(12). Put z, 5, -8, g in ascending order.\nAnswer: -8, z, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*y + 12*y - 5*y**2 - 176*y + 145*y.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.9 - 1.75. Let v = -3.15 + u. Which is the second smallest value? (a) 1 (b) -1\/4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 4*n + 562, -2*n = -2*q + 1164 - 70. What is q rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 13 + 10*q**3.\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 94 + -72 + (-116 - -201)?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2742*g - 2*w - 13 = 2737*g + 11, 3*g - 4*w = 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1934000 to the nearest 100000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -4. Suppose -4*k + 4*w = -56, g*w + 5*w = 3*k - 44. Suppose n + k = 174. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (21\/14)\/((-3)\/(-10)). Find the second derivative of -25*n + 11*n - 2*n**m + 8*n wrt n.\nAnswer: -40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 440936 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -36*y - 88. Suppose -30 = 5*v - 5*m, 0 = -v - 4*v - 3*m - 14. Is u(v) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*f + 6 - 6)*(3 + 0 - 1)*(-1 + 8 + 10).\nAnswer: 306*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(135)*-1)\/((sqrt(75)\/sqrt(5))\/sqrt(3)))\/((sqrt(45) + sqrt(720)*-2)\/(sqrt(45)\/sqrt(225))).\nAnswer: 6*sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15.8 + 10.8. What is the biggest value in -2, d, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10888 is divided by 363.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a decade in years?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 780 a factor of 6864551117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 8228?\nAnswer: 1\/8228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 301272701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppsspppssppspp. What is prob of picking 1 p and 2 s?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -101 > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -0*z - 8. Let y be z + -2 + -2 - 2. Which is the biggest value? (a) -0.11 (b) -0.2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24047, 48096, 72145, 96194, 120243, 144292?\nAnswer: 168341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18043, -36149, -54319, -72553, -90851, -109213, -127639?\nAnswer: -146129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/64)\/((-1)\/(-22)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((135\/(-63))\/(-15))\/((-3)\/2).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(2\/9)*p)\/((p**5*p)\/p))\/(p\/p**0)**(2\/3))**(12\/11))**(2\/47) assuming p is positive.\nAnswer: p**(-320\/1551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1*(-12)\/(-9))\/(-4). Which is the second smallest value? (a) 4 (b) x (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/11)\/(i**5\/i))\/(i**(-1\/8)\/(i\/(i*i**3*i))) assuming i is positive.\nAnswer: i**(-677\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5614*u - 2678 with respect to u.\nAnswer: 5614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 114\/21*3*7. Let s(a) = 13*a**3 + a**2 - 3*a + 2. Calculate the remainder when l\/(-4)*4\/(-3) is divided by s(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -39*m - 1126. Let k be p(-29). Calculate the highest common factor of k and 815.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -58578*b**3*r**3 + 10*r**3 - 13*r**2 - 4 wrt b.\nAnswer: -175734*b**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1700 and 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8326757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 1338?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-7)*m*m\/(m*m**(-24))*(m**(-3)*m)**(-3\/43) assuming m is positive.\nAnswer: m**(780\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7056976.5us?\nAnswer: 0.00196027125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -460, -917, -1372, -1825, -2276, -2725?\n\"Answer: g**2 - 460*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 5) in base 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 3*i + 5*i - 202 = 15*b, 2*b + 9*i - 714 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 15515113?\nAnswer: 15515115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 - (-33144*4)\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 9. Let t = 9 + o. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25700 and 1589288?\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 738084509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*h + 65*h = -23*h - 3149 - 4291 for h.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of 1\/2*c**3 - 5\/2*c**2 - 2*c + 0. Determine b(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1086 - 861*f - 1086.\nAnswer: -861*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/4869 or -94?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of g**5\/12 + g**4\/24 - g**3\/6 + g**2. Suppose i + 8 = 2*q, 5*q = 2*i + 27 - 10. What is v(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86705 is divided by 2709.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1368 divided by -2.\nAnswer: -684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 4811 divide 631440075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a**2 + a**2 - 3*a**2. Let m(h) = -13*h**2. Calculate m(w(s)).\nAnswer: -52*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**3\/3 + 28*k**2\/3 - 59104*k\/3 + 39360 = 0.\nAnswer: -180, 2, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1558953.\nAnswer: 3, 11, 29, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-18 - -20) + -9 + (60 - (1 - 3))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, p: 7}. What is prob of sequence pt?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 286 and 22165.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 3, d: 1, r: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s - 1. Let t be c(1). What is the closest to -4 in t, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of x**5\/90 - 5*x**4\/36 + 4*x**3\/9 - 87*x**2 - 2. Find w, given that o(w) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -149, -52, -6?\nAnswer: -149","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(1\/2))**(-37))**(2\/55) assuming v is positive.\nAnswer: v**(-111\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -2 - 7) + (1 - -9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -130364 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of 0*n + 0*n**4 + 0*n**3 - 1\/15*n**5 - 2 + 4*n**2. Let q(l) = -7*l. What is h(q(t))?\nAnswer: -196*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 3*i - 4. Let k be -6*(2 - (-24)\/(-9)). Let o be q(k). Let u be o\/(-1)*2\/(-4). Solve -4*f - 20 = u, -3*f + 0*f = -m + 13 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 232, 578, 922, 1264, 1604, 1942, 2278?\n\"Answer: -r**2 + 349*r - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -1267 + 1708. Calculate the remainder when d is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/40)\/((-1)\/2). Sort 0, -1, z.\nAnswer: -1, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/170*235\/94*47\/47?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 v when four letters picked without replacement from {v: 1, u: 3, m: 5}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - 2131322112300?\nAnswer: -2131322112312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19087\/22 - -869. Calculate the common denominator of 65\/48 and w.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - a = -2 - 203, l - 5*a - 47 = 0. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75, 120, 199, 330, 531, 820, 1215, 1734?\nAnswer: 2395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*a - 3*a. Let n = -1722 - -1723. Suppose 0 = 5*s + 5*g - n - a, 0 = -3*s - g + 7. Solve -3*p = -s + 15 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84cd82 (base 15) in base 2?\nAnswer: -11000000111001110010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 5*r + 6. Suppose 5*a - c + 27 = 0, -5*a - 6*c - 15 = -c. Is i(a) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1536711 and -6.\nAnswer: -1536717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((25\/2)\/5)\/(6\/12). Let f = -5 + y. Factor f + 24\/11*b**3 - 18\/11*b**4 - 8\/11*b**2 + 0*b.\nAnswer: -2*b**2*(3*b - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.09 in 3, 2\/5, -1\/5, -116?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 115245913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4963 + 4967. Let q(y) be the third derivative of 1\/168*y**8 - 1\/60*y**6 + 0*y**5 + 0*y**3 + 0 + 0*y + 18*y**2 + 0*y**j + 0*y**7. Factor q(n).\nAnswer: 2*n**3*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of 0 + 0*w + 0*w**4 - 1\/12*w**5 - 4*w**2 + 0*w**3. Let h(c) = 2*c**2. Give h(x(n)).\nAnswer: 50*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001003968 to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1111, -1110, -1109, -1108, -1107, -1106?\nAnswer: -1105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(17) + (1 + sqrt(1088))**2)*-6.\nAnswer: -6534 - 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 2:37 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 o when four letters picked without replacement from wosdsvom.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1343 + 787 - 2879 = 229*a for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -9*f + 235. Calculate u(21).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 7*a**2 + 98*a - 463. Determine d(5).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/5 - (-12)\/(-20). Suppose -2*o + o = -q. Suppose -4*n - 74 = -5*w - 25, -o = -w + 3*n. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2004, -4055, -6146, -8277, -10448?\nAnswer: -12659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 126621284089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -7192539?\nAnswer: 7192540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + -13?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 - 552765341*s + 552765341*s.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216 = -25*f - 41 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 150874125*v**4 - 43725764*v**2 - 3 wrt v?\nAnswer: 3620979000*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - 121\/4. Let j(q) be the third derivative of 7*q**4\/24 - 20*q**3\/3 - 34*q**2. Let i be j(6). Do i and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1127*k**3 - 13313*k?\nAnswer: 6762*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49162 is divided by 49109?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -176164, -176765, -177766, -179167, -180968?\nAnswer: -183169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 161676654?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.60918ng to grams.\nAnswer: 0.00000002360918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = f + 4*l - 13, 0 = 3*f + 3*l - 30. Let b be (-12)\/(-8)*(-10)\/(-3). Suppose -f = -4*x - b. Solve -2*p = -p - x for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0011 + 0.0989. Suppose -3*d - 1 = 32. Which is bigger: n or d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - a - 3*a)*(2 - 5 + 1)*((3 - 1 - 3)*(-2 + 2 - 2) - 4 + 5 - 2).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(13) + (sqrt(1053) + -3*sqrt(1053) - sqrt(1053)) + sqrt(13))**2 - (sqrt(832) + -3) - (4 + 1*(2 + (sqrt(78)\/sqrt(6))**2))).\nAnswer: -48654 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4*c**2 - 4*c - 2. Let j(q) = q**3 - 6*q**2 + 9*q - 5. Let r be j(4). Let f be z(r). Sort -3, f, 5.\nAnswer: -3, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 40*h - 114. Let c be r(33). Solve -60*o = -21*o - c for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 730 divide 719765825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -142*r + 5. Let z be s(2). What is z rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o + 9*o - 9*o**3 - 8*o**2 + 6 + 10*o**3 - 5*o. What is the tens digit of t(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 1797*j. Let n(z) = 260*z**2 - 2*z. Calculate n(m(l)).\nAnswer: 839594340*l**2 - 3594*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 1bcb5a?\nAnswer: -1bcb5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1218*w + 425 = -1201*w for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -d**5\/30 - d**4\/4 + 5*d**2. Let v(p) = p**2 + p. What is -f(j) - 5*v(j)?\nAnswer: -3*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1004431 + 240111?\nAnswer: 1300042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**2\/7 - 323*t\/7 - 70950\/7 = 0?\nAnswer: -150, 473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1771.7196 plus -0.1?\nAnswer: -1771.8196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 3*u**4\/4 - 15*u**3 + 225*u**2\/2 - 375*u - 28. Let q(x) = 0. What is x?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**2 + 2\/7*h**3 - h**4 - 2\/7*h + 0 = 0?\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.7 and -19.1622407?\nAnswer: 17.4622407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 72033 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/33 + 203\/154 + -1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.12 - -2.12. Sort -0.4, 0, c in descending order.\nAnswer: c, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 14) + 13 + 2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 - 28. Suppose 0 = 27*g - 23*g - y. Solve g*o - 2 = 1, -2*r + 4*o - 8 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**2 - 38*a + 3. Let b be y(11). Does 13 divide -106*b\/(-32)*-4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1676688668?\nAnswer: 2, 19, 59, 67, 5581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + n - 6*n - 16 = 0, 4*i + 37 = -5*n. Let t = 0.1 + 0. Suppose -d - d + 8 = 0. Which is the closest to 0? (a) d (b) t (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1897 = 11*o - 941. What are the prime factors of o?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**2 + 2 - 2 - 5517*m - 7*m**2 + 5517*m + (-5*m + 3*m + 4*m)*(0 + 0 + 2*m).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 78, 161, 250, 345, 446, 553, 666?\n\"Answer: 3*c**2 + 74*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k - 5. Let s be z(4). Let r be (-10)\/(-3*s\/3). Find the common denominator of 5\/r + 206\/32 and 143\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -385, -4, -1.\nAnswer: -385, -4, -1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 9524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-297)\/(-18)*52\/(-1001)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80127958 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 7*c - 1. Let j(v) = 2*v**2 - 7. Calculate j(b(t)).\nAnswer: 98*t**2 - 28*t - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*d = -9*x + 15, -x + 3 = 4*d. Solve -4*s = x*t + s + 14, -3*s = 2*t + 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 12 = 3*h - w, -4*w - 14 = -h. Let t be (-1 - (3 - 5)) + h. Solve 0 = t*b - 8*b + 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 0, 4*x - 6*x = -2*w. Differentiate 5*s - 2*s + 22 + x*s + 23 wrt s.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 1)*((b + 0*b - 3*b)*(b**2 - b**2 + b**2) - 3*b**2 + b**3 + 3*b**2).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 42 + (-3 - 2) + -5?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -4. Let m be (u + 8)*3\/6. Suppose 20 = 3*x - m. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*o + 45*o + 28 = -a, 3*o = -4*a - 27 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53 - -57. Suppose -y = f*y - 525. Suppose 0*q - q + y = 0. What is the greatest common factor of q and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**5\/4 + 22343*k**4\/4 - 334949*k**3\/4 + 647305*k**2\/4 + 2310867*k\/2 + 904284 = 0. What is k?\nAnswer: -2, -1, 9, 22328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -674 (base 14) to base 16.\nAnswer: -4fe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h - 3*h + 276*h**3 + 136*h**3.\nAnswer: 412*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -2*f + 0 + f**3 + 1\/14*f**7 + 0*f**2 + 27\/20*f**5 - 7\/4*f**4 - 1\/2*f**6. Factor d(a).\nAnswer: 3*a*(a - 2)*(a - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-4) - (-3045)\/20. Let r be (-4)\/12 + y\/6. Suppose 4*p + p = r. Solve -p*h + 0*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**4 + 432*k**3 + 880*k**2.\nAnswer: -4*k**2*(k - 110)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i + 3. Let o(j) = j + 8. Suppose b - 6*b + 50 = 0. Let l(v) = 0*v + 3 - b - v. Let r(y) = 4*l(y) + 3*o(y). What is -5*r(t) - 6*z(t)?\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 55 = -5*q - 151, 4*q = 4*b - 168. Let y = q + 42. Suppose 59 = y*c + 3. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 127 - 134 - (5 + -4 + 3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6816 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*x = -46*x + 23592. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -38 - 4?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*((-4)\/2 + -1). Let g(j) = 1249*j - 7490. Let p be g(6). Is p equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, -2.56, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 9*q - 4*q - 15, -3*j = -4*q + 23. Suppose q*m + 0*n + n = 72, m + n = 36. Does 11 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -2 - 2) + (-13 - -22).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o - 29 - 6*o + 29 - 15*o + 10055*o**2 - 10024*o**2.\nAnswer: 31*o**2 - 14*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-138)\/(-18))\/((-2)\/6). Let n = 69 + m. What is the second derivative of 179*s**3 - 10*s - 203*s**3 + n*s wrt s?\nAnswer: -144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8103535 to the nearest integer?\nAnswer: 2847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -266 - -264.992. Let a = z - -0.008. Let t be (-2)\/(-3)*(-1)\/2. What is the third smallest value in -4, a, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9291466 to the nearest one thousand.\nAnswer: -9291000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 1:01 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120789114?\nAnswer: 2, 3, 17, 1184207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -407*v = -219*v - 3227020. List the prime factors of v.\nAnswer: 5, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*a + 20*a - 32*a - 11 to the form j*a + c and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 919 is divided by 129.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -7.7.\nAnswer: -1.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 39436 < 39442?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-342)\/135)\/(-19) + 366583\/15 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*f**5 - 440483*f**2*v**2 + 2*f*v**2 + 9796*f*v - f - 2*v**2 - 8*v wrt f.\nAnswer: -120*f**3 - 880966*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 73*q - 2547. Let y(l) = 9*l - 364. Let b(u) = -2*a(u) + 15*y(u). Let m be b(-42). Let i = -11 + 23. Calculate the greatest common divisor of i and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*d + 90 = 0. Let v = 40 + d. Suppose -2*s - 2*y = -22, 2*s + 3*y - 11 - 16 = 0. What is the remainder when v is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/(sqrt(5) + sqrt(45)) + sqrt(153) + -4)**2 + (sqrt(17) - (sqrt(17) + 3 + sqrt(51)\/sqrt(3)) - (sqrt(17) - sqrt(272))*-2).\nAnswer: -33*sqrt(17) + 3081\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -6 + 1 + 4 + 20 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 6150528.\nAnswer: 6150528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(66) + sqrt(66)*2*-5)\/(sqrt(6) - sqrt(30)\/sqrt(45))*-4 + 0).\nAnswer: 54*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 403*j**3*m**2 - 2*j**2*m**3 + 2*j**2*m + 83*j*m**3 + j*m - 15*m**3 - 2 wrt j.\nAnswer: 2418*j*m**2 - 4*m**3 + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43.04 - -0.04. Let n = f + 43.1. Put n, 0.4, -1\/8, 5 in decreasing order.\nAnswer: 5, 0.4, n, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*sqrt(180)*5 - sqrt(180))\/sqrt(4))\/((sqrt(441) - (sqrt(441) + sqrt(441)*1)*-4) + sqrt(441)*2*6).\nAnswer: 12*sqrt(5)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 326 - 30 = 101*j - 108. Let h(r) be the second derivative of -27*r + 0 + 0*r**j + 4\/15*r**6 + 0*r**3 - 1\/21*r**7 + 0*r**2 - 2\/5*r**5. Factor h(o).\nAnswer: -2*o**3*(o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 - 3*g + 73. List the prime factors of b(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/8)\/(30\/(-40)*-1)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**2 + 28173*b - 337932 = 0.\nAnswer: 12, 28161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.02 (b) 0.8763 (c) 3 (d) -0.5 (e) 19\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -59456.6848 - 0\nAnswer: -59456.6848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.68 (b) -5 (c) 24 (d) -0.02 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 561.\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 105\/2*m**2 + 220 + 0*m - 5\/3*m**3. Factor x(z).\nAnswer: -5*z*(z - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -565493*b*r**5 - 6*b*r**3 - 2*b*r**2 + 49214*b*r - 3*r**2 + 42*r wrt r?\nAnswer: -33929580*b*r**2 - 36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -888*h + 3 - 14 + 889*h. Suppose -o = 2*o - 24. Calculate a(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 1:01 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -21183 divided by 307?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a - 123*a**2 + 2*a + 4*a**2.\nAnswer: -119*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 3445.\nAnswer: 1033.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1562.9 - 1562.96. Let c = 7 - 7.6. Sort o, -2\/3, c.\nAnswer: -2\/3, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3952453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2. Let o(z) = 2101394*z. Determine t(o(y)).\nAnswer: -4415856743236*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 382 (b) -5.1 (c) -4 (d) 4\/3 (e) 11 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 + 254650*i - 254649.\nAnswer: -(i - 254649)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -189 and 639342 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 2. Suppose -2*d - 4*u = -5*d + 12, j*d + 9 = -3*u. Let m = d - -8. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4\/5)\/(d*d*d**(1\/2)\/d*d))\/(d*d**(1\/4)*d)**(1\/44) assuming d is positive.\nAnswer: d**(-2949\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/3)\/(-5)*(380\/40 - 11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 74*d**2 - 1776*d + 20. Determine s(24).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43521 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 3*o = 24. Suppose -42307 = -o*g + 4*w, -5*g + 4*g = 3*w - 14098. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2 - j + 0 + 5 + 1. Calculate y(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1 = 0, -f + 728 = -2*y - 296. Is 54 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 s when four letters picked without replacement from sdspdsdspspsssdps?\nAnswer: 54\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11735?\nAnswer: 5, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*n**3 - 4084*n**2 + 956*n - 4177045.\nAnswer: 15*n**2 - 8168*n + 956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 356, 704, 1052, 1400?\nAnswer: 1748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.6 + 1.6. Suppose 0 = 54*r - 48*r + 156. What is the nearest to 0 in 2\/11, r, b?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -120.5482493 to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57*s**5 + 283*s.\nAnswer: -1140*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**3\/7 - 2902912*m**2 + 51614730418042*m\/7 + 103229542117636\/7 = 0.\nAnswer: -2, 5080097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 133107983*d*f**2 - 299436593*d*f wrt f?\nAnswer: 266215966*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 15*h + 44. Let o be y(-12). Calculate the common denominator of (3\/15)\/((-3)\/498*o) and -109\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 take away -169126828300?\nAnswer: 169126828300.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 5*f**3 + 5*f**2. Let v(s) be the second derivative of -1\/12*s**4 + 0*s**2 - 12*s + 0*s**3 - 1\/20*s**5 + 0. Let q(h) = -b(h) - 3*v(h). Factor q(i).\nAnswer: -2*i**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4d4f - 7?\nAnswer: -4d56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 24330?\nAnswer: 170310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/17346 and 38\/5?\nAnswer: 86730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 0*y + 4*y - 6*y + y. Suppose -2*s + 0*s + 6 = 0. Give k(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*r + 27116*r**4 - 6*r**2 - 19*r - 11*r**3 + 10*r - 27114*r**4 to the form x*r**4 + b + o*r + a*r**2 + d*r**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -41750284 plus -0.13?\nAnswer: -41750284.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 4*s**2 + 2*s - 4. Suppose -2*p = -0*p + 5*z + 4, -36 = -3*p + 3*z. Let q be p\/1 - 1 - 3. What is l(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 243, 456, 677, 906, 1143, 1388?\nAnswer: 1641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 660\/((-13)\/(-234)*18). Calculate the highest common factor of r and 1380.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r*r*r\/(r\/(r*(r\/r**18)\/r)))*r*r*r**(12\/11)*r)\/((r*r*r**(1\/7))\/r**(-1\/12)) assuming r is positive.\nAnswer: r**(17431\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Four letters picked without replacement from yddpdyhdhypeydheyy. Give prob of sequence eehp.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gvgevbbcbvngvgb. Give prob of sequence env.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*v + 4*k - 4, -2*k = v + 8. Are v and -2 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-o**3 - 3*o**3 + 5*o**3)*(-55*o - 2099 + 2099) + 3*o + o**4 - 3*o)*(1 - 2 + 3).\nAnswer: -108*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79479.\nAnswer: 3, 8831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzmzzdmmz. What is prob of sequence md?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uupppjpu. What is prob of sequence puj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -13215?\nAnswer: 13212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**2 - 133 - 443*m + 163 - 1010 - 532*m + 2*m**2 = 0.\nAnswer: -1, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -20*n + 22. Calculate w(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-924)\/18)\/((-10)\/15). Determine o so that 253*o**3 - a*o**3 - 36 - 160*o**4 - 204*o + 232*o**2 - 36 + 28*o**5 = 0.\nAnswer: -1, -2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u**3 + 3*u**2 - 1 - 3*u + 2*u - 3*u**3. Let h be n(-3). Is (h + -3 - -3) + 47 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - u = -1047 - 2726, -q = 5*u + 3791. Let b = 6487 + q. Let p = b - 1917. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388680196 less than 0.00441?\nAnswer: -388680195.99559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -1426.\nAnswer: -1\/713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -61 + 63 + -14 + 2 + -4 + 61.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -55 - -1403?\nAnswer: 1337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - c**2 + 3*c**4)*(1 + 7 + 1) + 0*c**4 + 3*c**4 - 4*c**4.\nAnswer: 26*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 26cb (base 16) in base 13?\nAnswer: 469c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16029 and 7124.\nAnswer: 64116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 351, 7, 11, -2, 1, -3.\nAnswer: -3, -2, 1, 7, 11, 351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 16*r**2 + 1. Let x be p(16). Solve -3 = -k - x for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -315112 (base 6) to base 7\nAnswer: -135032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2999 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/100 and 77\/14500.\nAnswer: 14500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 510131?\nAnswer: -510122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.3 (b) 0.1 (c) -4.643 (d) -4\/7 (e) -0.2 (f) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 48873, 0.3 in descending order.\nAnswer: 48873, 2, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 16*f + 116. What is q(19)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 5*v**2 + v + 5. Let c be i(-5). Suppose 5*y + 4*w - 214 = c, 0 = 2*w + w - 3. Does 14 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -d**5\/20 - d**4\/4 - d**3\/2 - d**2\/2 - 2*d - 50. Calculate i(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-25) + (-24)\/(-5). What is the third derivative of 4*a**5 - 5 + 5 - 2*a**5 + u*a**2 wrt a?\nAnswer: 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*f + f - 6*f)*(-2 + 6 - 2) + 5*f - f - f)*(-f**3 - 3*f**3 + 3*f**3).\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-2 + 5 + 1) - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1929121071.\nAnswer: 3, 643040357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(7) + sqrt(175) + sqrt(175)*-3) + 2)**2.\nAnswer: 144*sqrt(7) + 9076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6803 + -6804. Which is the second smallest value? (a) v (b) -0.3 (c) -3\/2 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 970 + -0.4.\nAnswer: 969.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 94 = -4*s. Suppose 11*b = s*b - 44. Suppose b*o - 64 = 7*o. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*l**6 - 3*l**5 - l**2 - 1184 wrt l?\nAnswer: -1440*l**3 - 180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (311\/10263)\/(((-4)\/(-6))\/((-48)\/8)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 357400 to the nearest ten thousand.\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + -1 - (-14833)\/14903. Let m = t + -1143223\/10645. Let y = 5203\/45 + m. What is the common denominator of y and 9\/11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -351 and 737.667.\nAnswer: 386.667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1614176 to the power of 1\/2, to the nearest integer?\nAnswer: 1271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7748566 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4 = x, 4*t + 24 = 3*x - 2*x. Is ((-316)\/x)\/(2\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 249 (b) 587\/5 (c) -139\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*q + 61 - 9*q - 11*q + 67*q - 15*q in the form h*q + k and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -184477660 divided by 5\nAnswer: -36895532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/13)*c*c**0*(c\/(c**0*c)*c*c)**42*((c\/((c**(-1\/3)*c)\/c*c))\/(c\/(c*c*c\/c**(-3)*c)))**21 assuming c is positive.\nAnswer: c**(2836\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*x**2 + 40*x**2 - 12*x - 80*x**2.\nAnswer: -4*x*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) 1\/6 (c) 0.4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -5*u - 11. Suppose -108 = -2*p - 0*p. What is the remainder when p is divided by v(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 355*j**3*v**3*z + 7*j**3*v**3 + 282*j**3*z + 4*j*v**3 + 8*j*v**2 - 162*j wrt z?\nAnswer: 355*j**3*v**3 + 282*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 6*v + 2. Let d be h(-1). Let k(a) = a**2 + a - 1. Calculate the smallest common multiple of k(d) and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -6*b - 15. Suppose -2*v + 5*z = 16, -z - 3 = -4*v + 1. Sort 3, v, b.\nAnswer: b, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 7*d**2 - d - 4. What is o(7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 72.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 42592, 42639, 42698, 42775, 42876, 43007, 43174, 43383?\n\"Answer: t**3 + 40*t + 42551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 2*b. Let m(c) = -4*c**2 + 28*c - 37. Let l(n) = -m(n) - 5*x(n). Let r be l(-10). What is the greatest common factor of r and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1580 divided by 79\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 2*j + 3, -5*j - 10 = -16*t + 11*t. Sort -1\/4, -167, t.\nAnswer: -167, -1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*c = 58*c - 54. Suppose 4*s - 16 = 2*s. Let f be (s\/10)\/((-5)\/25). Sort f, -5, c in descending order.\nAnswer: c, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109039 is divided by 669?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 6, 2656, 2, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66873786 and 7434.\nAnswer: 2478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*m**2 - 23*m**2 + 84*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t + 2. Suppose 5*k = 4*w - 42, 4*w = -3*k + w - 9. Let s be (0\/(-1))\/(k\/(-3)). Suppose 2*b = -s*b - 8. Let o(x) = -x. Give b*o(g) + i(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 192 = 13*d. What is the remainder when 284 is divided by d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, d: 2, u: 2}. Give prob of sequence dee.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2128 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 2 - 15)*(-q + 2 - 2)*(2*q - q + q) to the form d*q**2 + f + l*q and give d.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = d - 0*v, -3*d = 3*v. Suppose -4 - 5 = -5*u + 4*q, d = 4*u - 4*q - 8. Do -1\/4 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19508, 19510, 19512?\nAnswer: 19514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 5*o + 20. Let v be f(-4). Suppose -18 = -3*d + 2*u, -2*d + v*d + 14 = -2*u. Sort -4, d, 22, 1.\nAnswer: -4, 1, d, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201211 (base 3) to base 4\nAnswer: -20113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -6*((0 + sqrt(2) - sqrt(2))*-1 - -6*sqrt(32) - (sqrt(200) + 4 + sqrt(200)*2))**2*-2.\nAnswer: 576*sqrt(2) + 1054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 212703855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -193\/1050 and 111\/2350.\nAnswer: 49350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-34)\/(-52) + 1\/(-2). Let u = -150.313 - -0.313. Let b = u + 150.4. What is the closest to b in f, -3, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 13 = -4. Suppose 5*z - 122 = -f. Solve p + 2 = 5*x - 4*x, -2*x = 3*p + z for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -20\/2517?\nAnswer: -20\/2517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -58c86 + 2?\nAnswer: -58c84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 8*b - 28. Let x be t(-11). Suppose -x*v - 4*d = -13, 2*v - 6 = -0*v - 2*d. Solve 4*w - 19 = v for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194589 is divided by 931?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207 = -26*h + 49*h. Let b(i) = -12*i - 2. What is the remainder when b(-3) is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9939 and 114372.592.\nAnswer: 124311.592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 4:30 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 16970 (b) 0.4 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 14143001?\nAnswer: -14143006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.08, -3\/88, 25?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5, 72, 173, 298, 447?\n\"Answer: 12*i**2 + 41*i - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -31330 (base 5) to base 3\nAnswer: -2212102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427 is divided by 174?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 84*c + 132 = 0, 2*u - 5*c - 118 + 90 = 0 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 9:13 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 1146*b - 85291. Determine a(74).\nAnswer: -487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g + 13. Let r be o(8). Solve 0 = -4*w - 4*u + 11 + r, -4*w + 4*u = 24 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of l**7\/21 + l**6\/15 - l**5\/10 - l**4\/6 + 3*l. Factor z(n).\nAnswer: 2*n**2*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-280)\/(-168)*(-5)\/(-1))\/5.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/8 + 2110\/8. Suppose -5*k + 3*g = -16, 0*g + 4 = 4*k + 2*g. Suppose k*r + 22 = d + 4*r, 1 = -r. What is the greatest common factor of f and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 33390*n*p**3 - 3593*n*p**2 + 795*n - 41907 wrt p?\nAnswer: 100170*n*p**2 - 7186*n*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212 = -65*b + 12*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 2*x - 129. Suppose 2*r + 3*b - x = 0, 3*r - 122 = -r + 2*b. Let g = 4385 + -4299. What is the remainder when g is divided by r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4894203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22540035*o**5 + 358*o**2 + 49945.\nAnswer: 1352402100*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5*w + 8 = 0, 3*w - 5 = -f + w. Suppose f*t + 8 = p - 4, -2*p = -5*t - 21. Calculate the remainder when 11 is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1434632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -24\/7 (c) 110\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247985.\nAnswer: 5, 49597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.68 - 25.32. Let a = -31.84 - -5. Let g = a - u. What is g rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -35*s - 6. Let w(b) = -2871*b - 493. What is -493*l(a) + 6*w(a)?\nAnswer: 29*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -17 - t**3 + 0*t**2 + 30 - 7*t**2 + 9*t. Let i be n(-8). Which is the closest to i? (a) -0.5 (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - -16. Let n be (w\/(-6))\/(2\/(-12)). Suppose 0 = -4*l + 3*g + 15, -2*g + 0 = 2. What is the greatest common factor of n and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009196527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 245 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -87.891.\nAnswer: 263.673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, x: 2, l: 1, v: 6, n: 2, c: 3}. Give prob of sequence nlcn.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1868 = -9*l - 14080. Let v = l - -2869. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 15*h**2 - 12. Let c = 17 + -29. Let r(a) = -6*a**2 + 5. Let s(g) = c*r(g) - 5*m(g). Let b(p) = 5*p**2 - p**2 - 3*p**2. Determine b(s(q)).\nAnswer: 9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/570 and 107\/145008.\nAnswer: 725040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*u = -49*u + 4*q + 2, 3*u + 22 = -4*q for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2649884 is divided by 264987.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 5*v - 40 = 0, 2*z + 5 = 3*v + 3 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -760 - -833. What is the highest common divisor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*s - 11*s + 2*s - 12*s.\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 2*u**2 - u - 2. Let t be o(2). Let z(y) be the third derivative of y**5\/60 + y**4\/4 + y**3\/3 + 2*y**2. What is z(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 277839419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 136\/51*6\/(-8)*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 118 = -2*h, 96 + 6 = 2*h + 3*q. Suppose 2*p - 179 = 55. Calculate the greatest common divisor of p and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 781556?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12566475 is divided by 137.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 15. Let t = w - 6. Calculate the remainder when 26 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 5:35 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/3666 and -129\/37600?\nAnswer: 1466400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -46 in -1\/2, -1, -3, 0, -9606?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -195 in 0, 1\/2, 1\/5, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.61999967 - 0.62. What is o rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1082 * 4\nAnswer: 0.4328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 30 = 5*i, -2*k - 2*k = 2*i + 10. Suppose 7*s - 2*s = -5*w - 25, -13 = w + 5*s. Let f be (-1 - (-153)\/(-30)) + w\/(-2). Which is smaller: f or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22197309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2\/7 + 1482*c\/7 + 183027\/7.\nAnswer: 3*(c + 247)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9 + (-4 - 6) + 9. Sort 1, 4, 5, y.\nAnswer: 1, 4, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-3))\/((-40)\/(-30)). Which is the biggest value? (a) q (b) 3\/7 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -954 - -3817\/4. Which is smaller: -698 or g?\nAnswer: -698","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 79693576?\nAnswer: 239080728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 214*h - 5. Let f be x(2). Suppose -4*d = -o + 94, 5 - f = -4*o - 5*d. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26 + 64 - 1)*(0 - 1)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = -4*u + 79. Suppose 0 = -4*j + d + 83, 0 = 2*j - 6*d + 2*d - u. Calculate the remainder when j is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (8316\/539)\/((-4)\/(-4206)*3\/7) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -184*n + 109. Is v(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -k**2\/8 + 9*k\/4 + 5 = 0?\nAnswer: -2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 670 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 940 - 69. Let r = -576 + x. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/(-196)*(-2)\/3.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -336 + 335.9536. Let x = 5.9536 - a. Is -4 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**2 + 95838 + 289*i**4 - 95837 - 36*i - i**2 wrt i?\nAnswer: 3468*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from 115298.59429435.\nAnswer: 115299.09429435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4719*s**3 + 21*s**2 + 26*s - 26. Let n(a) = -1180*a**3 + 5*a**2 + 6*a - 6. Calculate -13*n(l) + 3*z(l).\nAnswer: 1183*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + -42 + 19 + 56?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -9*t + 2*t + 3*t + 3*t. Calculate y(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**1)**(-2\/7)\/((((s\/s**(-7))\/s)\/s)\/(s**(-1\/8)\/s)))\/((s**(-2\/21)*(s\/s**(-4\/7))\/s)\/(s**(-1\/2))**(-31)) assuming s is positive.\nAnswer: s**(1231\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 1)\/((-10)\/4). Let w = -4\/5 - p. What is the second biggest value in -2, w, 0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3522742821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 246 - 235. Which is the second smallest value? (a) p (b) -0.1 (c) -0.4 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/9, -1\/12, -6\/7?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (6 + (-77)\/14)*(-11)\/(-2299)*-11\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 48575, 48571, 48567, 48563, 48559?\n\"Answer: -4*w + 48579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y + o + 6, -2*y + 3*o - 16 = -4*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) 0 (c) -276759\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 270365?\nAnswer: 270364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -1 in descending order.\nAnswer: 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 + 3*f**3 - 4*f**3)*(-11*f - 40 + 40) - 5*f**4 - 2*f**4 + 6*f**4.\nAnswer: 21*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 8*n - 12. Let c be b(-6). Suppose c*t + 2*t - 134 = -k, 64 = t - k. Calculate the highest common divisor of t and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 516588 to the nearest ten thousand.\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, p: 5, v: 1, i: 1, w: 6, x: 3}. Give prob of sequence xpp.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**19\/m)**31\/(m**(-6\/19)*m**35*m))**(2\/15) assuming m is positive.\nAnswer: m**(21026\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -205444120 - 11?\nAnswer: -205444131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g - 1. Let l(k) = -32*k + 632. Give -8*f(w) + l(w).\nAnswer: -8*w + 640","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2165*t**2 + 64*t - 1. Let f be g(1). What is f rounded to the nearest 100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 10, n - 4*n + 187 = 4*k. Let l = n - 8. Calculate the remainder when l is divided by 1 - 2\/((-4)\/30).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j + 0 - 13 + 13.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -19*r**3\/6 - 2*r**2 - 2*r. Is x(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**3 - 278*p**2 + 26*p + 598. Let v be a(139). Calculate the highest common factor of v and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27303396 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/14 - 1755\/(-105). Let l be p\/(4 + (-273)\/67). Let i = l - -233. Find the common denominator of -65\/12 and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 + 0*h**2 + 2*h**2)*(-2*h**2 - 2*h**3 + 2*h**2) + 0*h + 4*h**5 + 0*h + h**5 - h + h + 7*h**5 + 0*h**5 - h**5.\nAnswer: 15*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22196695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 6. Suppose 15*d + 4 = 4. Solve -2*a = -d*a - t for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.12 to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 7*t**2. Let a(y) = 7*y**2. Determine k(a(c)).\nAnswer: 343*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9830364mm in nanometers?\nAnswer: 983036.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -70 + -45. Let k = o - -117. Is k smaller than 3.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*p + 634649219 - 12587219 = 0. What is p rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47377391.\nAnswer: 47377391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4422747 + -3?\nAnswer: 4422744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - 9*p - 5*p + 3*p - 25*p.\nAnswer: -35*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1102 (base 3) to base 13.\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -7.\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.0174869 rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-30))\/((-1520)\/(-6650))?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, c: 7}. Give prob of sequence ccc.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -7*i + 316. Suppose 7*x = 11*x + i. Let d = x + 81. List the prime factors of d.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3355016?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 49941*c - 99647. What is f(2)?\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (33\/216)\/11 + ((-265)\/45 - -6)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -1. What is the smallest common multiple of (a + 3)\/(-2)*-6 and (5 - (-15 + 18))\/((-1)\/(-2))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 12:19 PM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9381480 by -2345370.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3+17314378715\nAnswer: 17314378718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 d when four letters picked without replacement from wwwwwwdwdw.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 - 5)*(0*c + 6*c - 2*c)*(1 - 2*c - 1) to the form i + s*c**2 + v*c and give s.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 2*z + 10 = 0, 45*d - 7*z + 50 = 49*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/((-32)\/(-3)) - (-3 - 104127730\/80). What is u rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 210 (base 9) to base 15\nAnswer: b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 + -40. What is the remainder when 6\/y*52\/(-3) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-37))\/((((n\/(n**(-2\/69)*n)*n)\/n)\/n)\/n) assuming n is positive.\nAnswer: n**(2758\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**3\/5 + 12654*w**2\/5 + 17791524*w\/5 + 8338294248\/5 = 0. What is w?\nAnswer: -1406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 36955762, 147823032, 332601824, 591292144, 923893998?\n\"Answer: w**3 + 36955755*w**2 - 2*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8, -34 in decreasing order.\nAnswer: -3, -8, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -722250 divided by -90?\nAnswer: 8025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11011109*d**3*l + 2210197*d**3 wrt l?\nAnswer: 11011109*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -28, 25, 88?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 3:06 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-19 - -16)*4\/(-30). Let i = 0.08 + 3.92. Which is the second smallest value? (a) 0.5 (b) y (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/(4\/(-60)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - 32*m**3 - 35.\nAnswer: -32*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = n - 6*n - 3*t, 2*t - 6 = 0. Suppose 10 = -3*q + 4*o, 0*q = 2*q + o - n. Find h, given that h**5 + 4*h**4 + h**3 - 3*h**4 - h**2 - q*h**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 294478 and 22?\nAnswer: 3239258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c. Suppose k + 51*n = 50*n + 4, -k + 5*n = -4. Let t(l) = -l + 3. Let f(u) = -2*u + 5. Let g(r) = -3*f(r) + 5*t(r). Determine k*x(y) - 7*g(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 44290730513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0030368 rounded to 4 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31*h**2 - 23220*h - 636562 with respect to h.\nAnswer: -62*h - 23220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1870 >= 722?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 5*q - 28, -2*n + 3*n - 5*q - 16 = 0. Let s(j) be the third derivative of 2*j**5\/15 + j**4\/4 + 7*j**3\/6 + 3*j**2. Is s(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -8*a + 11. Let o be p(0). Solve 5*y - o = 14 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/15 + (-2 - 24\/(-9)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 140.7 to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -205203 by -33.\nAnswer: 68401\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s + 1. Let q(g) = g**2 - 10*g - 25. Let h(m) = -5*k(m) - q(m). Let w = 1376 + -1370. Is h(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26100 is divided by 581.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 636?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 8*u**7\/21 + 7*u**4\/4 - 18*u. What is the third derivative of j(o) wrt o?\nAnswer: 960*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iztiziziizi. What is prob of picking 3 i and 1 t?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16239 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 6 = -y - 3, -5 = g + 3*y. Let i be g\/2*12\/(-3). Let b = 6 - i. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 22, 93, 210, 373, 582, 837?\nAnswer: 1138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/72 and 53\/2070?\nAnswer: 8280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118, 104, 658, 1538, 2738, 4252, 6074, 8198?\nAnswer: 10618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -2*n**3\/3 + 4. Suppose -6*o + 283 = 127. Let k(h) = 4*h + o*h**2 - 7*h**2 - 18*h**2. What is r(k(q))?\nAnswer: -2*q**4 - 16*q**3 - 32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -470, 3, 9, 4.\nAnswer: -470, 1, 3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -35.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 157e0 + 1e9?\nAnswer: 159d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 - -38. Suppose 0 = -v*y - 15*y + 40. Sort 0.16, y, -0.5 in ascending order.\nAnswer: -0.5, 0.16, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.97 - 0.03. What is the closest to 1 in 0.3, j, -0.03?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 2\/5, 0.09, -1\/4, 2.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -1484369*o. Let q(w) = -w. Give q(i(t)).\nAnswer: 1484369*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 878 = -3*y, -4*y + 13*l + 1172 = 8*l. Let q = y - -213. What is the remainder when q is divided by 103?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*r - r**2 - r**2 + 1394 - 1438.\nAnswer: -2*(r + 2)*(r + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.50867792 + -0.569683. Let y = b + 0.061. Round y to seven dps.\nAnswer: -0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1297299.863 to the nearest ten thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = 3*b - 177. Let f be 62 - (4*-1)\/(-2). What is the greatest common divisor of f and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/25770 and -163\/240.\nAnswer: 206160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**3\/7 + 451*t**2\/7 + 906*t\/7 = 0?\nAnswer: -2, 0, 453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3086*d*x - 53116*d + 2*f*x - 4*f wrt x.\nAnswer: -3086*d + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**5 - 5092611 + 1268*v**3 - 618*v**3 - 11508589 + 136*v**4 + 1364*v**3 - 130228*v**2 - 2953720*v = 0. Calculate v.\nAnswer: -14, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 277.5ug to grams.\nAnswer: 0.0002775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -32*g**5 - 43932*g**4 + 2760820*g**3 + 5341728*g**2 - 710768*g = 0. Calculate g.\nAnswer: -1433, -2, 0, 1\/8, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 8:38 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 12*m - 32. What is z(-17)?\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 40*o + 1628. Determine f(-25).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qznz when four letters picked without replacement from {n: 1, c: 3, z: 5, q: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -6*i**4 - 586*i**3 + 5794*i**2 + 319434*i - 107100 = 0.\nAnswer: -102, -21, 1\/3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 95983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -1 - -9 - 7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 0.5, -208604 in decreasing order.\nAnswer: 0.5, -4\/5, -208604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -88123, -176600, -265077, -353554, -442031?\n\"Answer: -88477*r + 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 150, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -160.9, 0.5, -1\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 15, h: 5}. Give prob of picking 3 o and 1 h.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (48800\/160)\/((-1)\/3). Is -912 greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*k + 25*k**2 + 60*k**2 - 50*k**2)*(-3 + 5 + 1).\nAnswer: 105*k**2 - 24*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -r**4\/12 - r**3\/6 + 3*r + 9. Let y(c) be the first derivative of q(c). Factor y(g).\nAnswer: -g*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -470\/37 <= -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10221112 - 303?\nAnswer: -10222021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-16)\/(-6)*2*6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 1, 0 = 4*c - 2*h - 35 + 9. Sort 2, c, 4, 0.\nAnswer: 0, 2, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458 is divided by 213.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**2 + 120534*b + 6139431 = 0. Calculate b.\nAnswer: -40127, -51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3*d**4 + 15*d**3 + 6*d**2 - 24*d = 0.\nAnswer: -4, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ownqnmj. Give prob of picking 1 q, 1 n, and 1 o.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14.000087 + -14. Round c to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o. Let d(z) = 6*z + 9. Let b(s) = 15*c(s) - 3*d(s). Let x be b(-11). Solve -a = -4*a - x for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 7. Let l = 7 - z. Let o(n) = 0*n - 3 + l + 2*n. Let v(k) = 4*k. Determine o(v(a)).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 114759 and 11439.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -7*g**2 - 6*g + 4. Determine t(-4).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2236*x**5 - 191*x**4 + x**2 + 406538*x wrt x.\nAnswer: 134160*x**2 - 4584*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/137 + -252\/1507. What is the third smallest value in 4\/5, 5, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a factor of 212641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2122 - -4051. 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 the thousands digit of 1035?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 + 31. Let m = t + 1.9948. What is m rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -292 - -327. Calculate the greatest common factor of n and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of i**6\/120 - i**4\/8 + 4*i**3\/3 + 8. Let v(j) be the third derivative of r(j). What is the derivative of v(q) wrt q?\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**2 + 105*t + 110 = 0. Calculate t.\nAnswer: -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 103760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -181 + 181.00325. Round c to four decimal places.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(342) + sqrt(228)\/(3*sqrt(6)))\/((sqrt(2) - sqrt(98)*-1) + sqrt(288)*-3) + 5)**2.\nAnswer: 85*sqrt(19)\/42 + 181891\/7056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 13 - l**3 + 84*l**3.\nAnswer: 83*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/27? (a) -1\/4 (b) 0 (c) 4\/5 (d) 20\/99 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 50\/(-10) + (-75)\/(-27) + 2. Let i = 3 - -2. Which is the closest to -1? (a) i (b) -1\/7 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -403*(-1 - 4)\/(-35) - -1. Suppose 0 = y + 15 - 72. Let o = i + y. What is the smallest value in o, -2\/7, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 8*t. Let l be 54\/3*8\/6. Let x = l - 24. Let g be (-12)\/(-6) + x + -3. What is q(g)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7695 - 7695 + 222*f)*(0 + 0 + f)*(3 - 1 - 4).\nAnswer: -444*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10 - 9)*273\/(-21)*(1 + -80). Calculate the greatest common factor of 869 and b.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313316909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1291378?\nAnswer: 2, 11, 58699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 1578?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6731 + -6727. Let v(w) = -w + 4. Let r be v(-7). Suppose -1 = 5*k - r. Solve n*a - 17 = -k*j + 3, -4*a + 32 = 5*j for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -519 - -236. Let f = -312 - n. Suppose 5*s + 36 + 99 = 0. Is f >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 25*m**2 - 1\/16*m**5 - 18*m - 49\/24*m**4 + 0 - 115\/6*m**3. Factor k(p).\nAnswer: -(p + 10)**2*(5*p - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2254.988 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 2:59 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, w: 4}. What is prob of picking 3 n and 1 w?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12452.06 centuries in months?\nAnswer: 14942472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1821*i**3 + 1648*i + 1640*i + 1642*i - 4929*i in the form r + t*i**3 + u*i**2 + w*i and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*c - 18*c - 12*c + 1024 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*k - 1610 + 8012 + 2124 = 0 for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + -2.5643411?\nAnswer: -2.9643411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2287 (base 11) to base 16\nAnswer: -bb7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 11, n: 1}. Give prob of picking 3 t.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 1264 + 464. Suppose -9*t + m = -24. Calculate the remainder when 65 is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z - 6. Let d = -14 + 41. Calculate the remainder when d is divided by y(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 71*k = -74*k - 237058, -2*k = 2*w - 118522. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3502385.\nAnswer: 5, 173, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 1:11 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -9455, -3\/4, 2\/5, 40, -0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 10*a**2 - 3*a + 13. Let m be j(-10). Let w = 42 - m. Let x be (w - (-3 - -1))*7. Solve -4*z - 3 = -x for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8100253.\nAnswer: 7, 1157179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-1) - 126\/18.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 21, 8, 1\/6 in descending order.\nAnswer: 21, 8, 1\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -56, -37, 126, 505, 1172, 2199?\n\"Answer: 12*d**3 - 65*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a*j**3 - 9*a*j**2*n**2 + 112421479*j**3*n**2 + j**3 - 933058*j**2*n + 6*j*n**2 wrt j.\nAnswer: 6*a + 674528874*n**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -67 and 96326.\nAnswer: -6453842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 99 - 99 + 8*f as n + w*f and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 135\/21 + 9\/(-21). Calculate the greatest common factor of j and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, 149, -33, 0.4, 5, -1\/6 in decreasing order.\nAnswer: 149, 5, 0.6, 0.4, -1\/6, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 28*v. Let m be f(1). Let z = m + -30. Let w(d) = 12*d**2 + 7*d + 4. List the prime factors of w(z).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (3 - (-2 + -1 - -4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in -218\/3, -5\/3, 2\/17?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.01 - 0.009888. Round f to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 651 + 753 = -156*i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jr when two letters picked without replacement from {r: 1, e: 1, j: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 73*k**2 - 263*k - 192. What is f(69)?\nAnswer: 705","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3 - 4. Suppose c + 2*z + 11 = l*z, -4 = -z. Suppose -12*a + c*a = -183. Does 23 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(38)\/sqrt(32) + -5).\nAnswer: -sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + -2 + -1 + -2 + (455 - 422).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 273\/11, -1, -0.3, 64, 0.2.\nAnswer: -1, -0.3, 0.2, 273\/11, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 3*x + 4. Let u be g(5). Let i(j) = 2*j**2 + 2*j - 1. Let f(o) = -o**2 + 2*o - 3. Let k(d) = -f(d) - i(d). Calculate k(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) -643 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24a0130 (base 12) to base 8.\nAnswer: -33275264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -91, -167, 2 in descending order.\nAnswer: 2, 1\/2, -91, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 1. Let o = 8.4 + -11.4. What is the nearest to w in -1, o, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**1)\/((g\/g**(-7))\/g))\/(g**(-1)\/g*g\/(g*g*g**(-5))))**36 assuming g is positive.\nAnswer: g**(-252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*f**3 + 304 - 16*f**3 - 304.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 12:02 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3748*z + 446009. Determine d(119).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5*f - 0 - 3, -2*m = -4*f + 6. Calculate the remainder when 34 is divided by 16\/(-4) - m - -10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5606 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 1) + -2 - -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i = -11 - 22 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-3*(sqrt(84) + -2*sqrt(84)*1))\/(sqrt(60)\/(1*(sqrt(80) + sqrt(5)) - sqrt(5))))**2.\nAnswer: -48*sqrt(7) + 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121110002 + 101012202?\nAnswer: 222122211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/5 - (-732)\/610*2\/(-42). Which is the third smallest value? (a) -28 (b) 2\/17 (c) -2\/5 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2977 and 0.4.\nAnswer: -0.11908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8249992 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 11, w: 3}. Give prob of sequence www.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47167*y + 47165*y = 16*z - 88, 5*y = 5*z - 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/1517118 and -7\/2784?\nAnswer: 703942752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6296274 to the power of 1\/3, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 61*a = -60*a + 6, y = 5*a + 11. Is y at least as big as -4\/1147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 3*t**2 - 4*t - 28. Let c be j(5). Suppose c*i - 253 - 611 = 0. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*u + 221903 = 49*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**15*t)\/t*t*t\/t**(3\/10)*t)\/(t**(-2\/23)*t)**(16\/7) assuming t is positive.\nAnswer: t**(3591\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1332 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -6.72578?\nAnswer: -0.672578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 282*a**2*s**2 - a**2*s + 654*a**2 - 1129628*a*s**2 + 13*a*s + 12*a - 10*s + 5 wrt s.\nAnswer: 564*a**2 - 2259256*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y - 1. Let i(p) = -p**2 - 1. Let v(f) = -2*f**2 - 3*f - 2. Let h(l) = -3*i(l) + v(l). Give h(a) + 3*m(a).\nAnswer: a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111000101100100 - -100?\nAnswer: 111000101101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52819 is divided by 61?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179963644?\nAnswer: 2, 7, 6427273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12 - -1 - (12 + -3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -30695 divided by -5\nAnswer: 6139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 + (5217\/(-285))\/(-2*5). Let a = 47\/25 + u. Calculate the common denominator of -127\/18 and a.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5*r**2. Let q(w) = 2964*w + 7197. Determine q(d(u)).\nAnswer: -14820*u**2 + 7197","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-2))\/(((-840)\/98)\/10)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(675\/9)*5*10\/25.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - -4) + (-579 - -520)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/3*-7*215\/43*3\/15?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -27*a**2 + 179*a - 197. What is g(5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2547 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 7 = 2*u. Suppose -u*n + 3*y = -5*n + 50, -5*y = -n + 25. What is the lowest common multiple of n and 4?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -41*p + 28*p. Let v(w) = -w**3 - 7*w**2 - 5*w + 5. Let g be v(-6). Let o be g\/2*0\/17. Sort p, 4, o in descending order.\nAnswer: 4, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 141, 232, 325, 420, 517, 616, 717?\nAnswer: 820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 160749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -4\/3 (c) 3 (d) -6785\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22.6918 - -0.0082. Let a = 0.059 - -22.941. Let j = b - a. What is the third biggest value in 2, -1\/4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8904304 - -16?\nAnswer: 8904320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5129 is divided by 21?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -238 divided by 34.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**2 + 31*d - 78. Let b be (8\/24)\/((-5)\/(-135)). Calculate the remainder when 6\/(-4)*(-232)\/3 is divided by z(b).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3, 3, -23, 2, -3\/2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 402*m**3 - 4*m**2 - 2171*m**6 - 11 - 402*m**3 - 247*m**5 + 247*m**5 wrt m.\nAnswer: -260520*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/2178 and 42\/2299.\nAnswer: 41382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.47 + 13.03. Let c = p - 17.5021. What is c rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33270 is divided by 1026.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37 and ((-20)\/(-6))\/5*99\/56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5474 and 1309.\nAnswer: 60214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 6. Let a be u(0). Let w(y) = y**3 - 5*y**2 - 8*y + 6. Let p be w(a). Let j be 1*2*(1 - 15\/p). Which is greater: 10 or j?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 2596152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25550 and 2705234?\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o - 1. Let z be l(4). Let b(t) = t**3 - 6*t**2 - 2*t + 5. Let w be b(6). Let v = w - z. What is the greatest common divisor of v and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-200)\/(-40))\/((-2)\/2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 264 (b) 1\/14 (c) 0.4 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-2) - (-99)\/6. Let r = 10 - l. Let h = r - -10. Solve y + 5*t = -3*y - 20, y + h*t + 5 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 155621854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6483 or 6500?\nAnswer: 6500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + -6*(sqrt(1584) - sqrt(1584)*1) + -3 + (sqrt(1584) - (sqrt(1584) + 1)) + 2 + 2)**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -1 + (12 - (-14)\/(-2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 512 and 2?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1985 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3222977.\nAnswer: 31, 103967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/56 - (-451)\/4. Suppose -100 = -5*j + 4*w + 165, -3*w = -2*j + i. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 6 = -21. Suppose 67 = j + 2*x - 82, -k*j = -3*x - 745. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*23\/((-345)\/20)*(-492)\/(-64)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3288921103.\nAnswer: 13, 4649, 54419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*h**2 + 3*h**2 + 7*h**2.\nAnswer: -17*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 0 + 0*p + 1\/24*p**4 + 0*p**3 - 1\/20*p**5 + 1\/720*p**6 + p**2. Let j(t) be the second derivative of w(t). What is j(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168 = -53*a + 109*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30736762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -5, 0.23, -1, -2 in ascending order.\nAnswer: -5, -2, -1, -2\/9, 0.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14594561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 1\/12*l**5 - 5\/2*l**3 + 0 + 3*l**2 - 5\/12*l**4 + 6*l. What is d in s(d) = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c**3. Let v = -6 - -5. Calculate the least common multiple of 8 and j(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 6:23 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*f + s + 68 = 74*f, 4*f + 28 = 4*s for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 - 2*b - 11 + b + 10. Let l(c) = 8*c**2 - 12*c - 9. Let f(u) = -5*g(u) + l(u). Let i(j) = j + 1. What is f(r) + 6*i(r)?\nAnswer: -2*r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 330\/462*((-1 - 0) + 8). Solve -4*t = g*z - 21, 6*z - 3*t + 8 = 2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 greater than -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3238500, -3238504, -3238510, -3238518, -3238528?\n\"Answer: -c**2 - c - 3238498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -1\/48*v**6 - 1\/48*v**5 + 0*v**3 + 2*v**2 + 0*v**4 - 1\/168*v**7 + 0 + 0*v. Find f, given that n(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12\/97? (a) -220 (b) 4 (c) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32371 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 932, 926, 934, 962, 1016, 1102, 1226?\nAnswer: 1394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/(-10))\/((-4)\/480). Let y be 2\/(-4) + (-33)\/(-2). Calculate the greatest common factor of y and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -344, -3 in decreasing order.\nAnswer: 4, -3, -344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -659 divided by -659\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**5\/2 + 181*k**4\/2 - 204*k**3 + 58*k**2 = 0. Calculate k.\nAnswer: 0, 1\/3, 2, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 209*x + 48*x + 3431 + 2785 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 3:50 AM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 283390188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.02 - -11.22. Which is the second smallest value? (a) -1\/21 (b) q (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -3*n**2\/2 + 30*n - 57\/2 = 0?\nAnswer: 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*t - 7*t + 30*t**2 + 31*t to the form m*t**2 + g + i*t and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/2 - (-36)\/8. Suppose -5*n + 4*n = 2*l - 11, -44 = -t*n - l. Let i = -71 - -102. What is the remainder when i is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 10*o**2 + 6*o - 6. Let h be 0 + -5 + (1 - 3). Let l be p(h). Calculate the highest common divisor of 11 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 8*n + 7. Let j(s) = 1 + 0*s + 16 - 4*s + s. Let c be j(7). What is the remainder when 111 is divided by t(c)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216211.4 years in centuries?\nAnswer: 2162.114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 i, and 1 z when three letters picked without replacement from izcxzzxcxizzi?\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 32 + 12 = 0. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3493, -7848, -12195, -16528, -20841, -25128, -29383?\n\"Answer: d**3 - 2*d**2 - 4356*d + 864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 1:45 AM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114603, 114398, 114193?\nAnswer: 113988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -3\/5, 8, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7897147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5158.35 and 473799666.\nAnswer: 473804824.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2344+114815731\nAnswer: 114813387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 409 + -232. Let l = w - 94. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1887.54408 seconds?\nAnswer: 0.021846575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22150, 22140, 22102, 22024, 21894?\nAnswer: 21700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*h. Suppose h = -4*u + 5 + 11. Let a(m) = -m - 2*m + u + 0*m + 6*m. Calculate a(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9075\/559 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kddk. What is prob of picking 1 d and 1 k?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 73c237 + -c3?\nAnswer: 73c154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 24*j - 45. Let f be n(-22). Let l(c) = 122*c**2 + 8*c + 9. What is the remainder when l(f) is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**0*s**0*s**(-8)*((s**(-4\/9)*s)\/(s**(2\/3)\/s))\/s**47 assuming s is positive.\nAnswer: s**(-487\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 - 9. Suppose -4*j - k - 5 + 0 = 0, -3*k = 15. Suppose 2*a + a - v = j. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*u - 4*s - 5, -14327*u - 2*s - 10 = -14329*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**5\/5 + 3144*h**4\/5 - 12563*h**3\/5 + 9416*h**2\/5 + 12564*h\/5 - 2512 = 0 for h.\nAnswer: -1, 1, 2, 3140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 7 = -11. Let b be (16\/(-60))\/((-6)\/k). Factor -4\/5*t - b - 2\/5*t**2.\nAnswer: -2*(t + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q**3 - 8*q**2 - q + 30. Let l be f(-8). Suppose -9*b + 27*b = -l. Round b to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17602976 and 504.\nAnswer: 1108987488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 + 2)*2\/3. Let m(y) = y**3 - y**2 - 1. Let r(h) be the second derivative of 3*h**5\/20 - h**4\/6 - h**2 - 5*h. Give c*r(b) + 4*m(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 703\/55 - 63\/5. Let x be (-34)\/(-9) - (2 - -2). Let d = x + 25\/72. Sort -0.3, p, d, -1\/2.\nAnswer: -1\/2, -0.3, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 7:58 AM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 91\/4 of a kilogram?\nAnswer: 22750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.023609711 rounded to four dps?\nAnswer: 0.0236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*f + 8*f - 8*f)*(3*f - 5*f + 0*f)*(-1 - f + 1).\nAnswer: 18*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 2 - (7 + -7 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30423773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -3*c**4\/4 + 14*c**2 + 497*c + 1450. Differentiate a(l) with respect to l.\nAnswer: -9*l**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, 0.1, -0.5, 2, 3\/7, -2\/459?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160 and 40?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((-5 + 2*sqrt(539))*-1)**2 + -5).\nAnswer: -6528 + 420*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202*h + 5486 = 203*h + 2*d, h - 5483 = -d. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8722 times 376?\nAnswer: 3279472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*n**3 - 19*n**3 - 920*n + 739*n - n**4 wrt n?\nAnswer: -12*n**2 - 78*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 396268?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 5 - 13 = 0. Let j(y) = 22*y**3 - 1. Give j(b).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5623088*d**3 + 3490*d**2 - 1745*d - 3490. Let g(o) = 12897*o**3 + 8*o**2 - 4*o - 8. Determine -4*a(h) + 1745*g(h).\nAnswer: 12913*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - b = -3*b - 20, -3*k = 5*b - 22. Let y be ((-7)\/(-2) + -1)*-2. Let g = y + k. Let x(s) = s - 7. Give x(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {i: 2, m: 7, j: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 9*r. Let o(h) be the first derivative of -h**5\/60 - 3*h**2\/2 - 2. Let q(d) be the second derivative of o(d). Determine q(x(f)).\nAnswer: -81*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, 2\/3, -8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**2 - 645*u - 1. Let o(j) be the second derivative of 2*j**3\/3 + 2663*j - 4. Calculate o(k(q)).\nAnswer: -8*q**2 - 2580*q - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152759?\nAnswer: 173, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 334 divided by -31.\nAnswer: -334\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 436300799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11463117 is divided by 6588?\nAnswer: 6585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1821 + -1617. What is the smallest common multiple of s and 306?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 5:10 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 10. Let u be i(-7). Let v be 2\/10 + (-278)\/(-10). Suppose u*q - v = -q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1735 in 1, -7.4, 3, -2\/21, 4, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*2*-5*sqrt(243)*-6.\nAnswer: -1080*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 x, and 1 c when three letters picked without replacement from {t: 1, u: 1, l: 1, m: 1, x: 1, c: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1315322?\nAnswer: 2, 657661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 5*g + 7, 0 = -2*z - 54*g + 53*g + 4. Let q be (-162)\/(-24) + -2 + z\/12. Put -34, -2\/11, q, 0.2 in ascending order.\nAnswer: -34, -2\/11, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12275 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.3 + 0.7. What is the closest to z in -2\/5, 0.2, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**(-2\/9)))**(9\/8))**(2\/45) assuming h is positive.\nAnswer: h**(-1\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of 1\/112*i**8 - 1\/14*i**7 + 5\/8*i**4 + 1\/4*i**6 + 0*i - 1\/2*i**3 + 0 - 6*i**2 - 1\/2*i**5. Find o, given that b(o) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z**2 - 1. Let k be -3*(0 + -1)*15\/9. Let g(v) = -9*v**2 + v - 2. Give k*u(m) - 2*g(m).\nAnswer: -2*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -b + 4*a - 7, 27 = 3*b + 4*a. Suppose 3*o - 5*k - 3 = -2*k, 2*o - 30 = -b*k. Let r be (16\/10)\/2*o. Solve 4*w + 3 + 5 = r*s, 3*s = -w + 14 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5*a**2 - 5*a. Let o be h(4). Suppose o = 6*c - 3*c. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -13. Suppose -j - 5 = 0, -15 - 8 = c + 5*j. Suppose c*m - 3*m = -11. What is the greatest common divisor of d and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 20*p**2 + 384*p + 6144. Let w(k) be the second derivative of 11*k**4\/12 + 32*k**3 + 1536*k**2 - 2*k - 12. Let g(o) = -4*r(o) + 7*w(o). Factor g(t).\nAnswer: -3*(t + 32)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9956 = -353*a - 17602 + 1998 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62*u**4 + 52*u**4 - 22*u**4)*(1 - 2 + 0)*(-3 + 5 - 3)*(-4 - 2 + 4).\nAnswer: -184*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 949884524 + 949882705 - 1899767229 + 2*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dmudyddyydykymyymmyy. What is prob of sequence dmu?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*u + 153 = -23*u. Let l = u + -53. Calculate the smallest common multiple of 399\/35 - l\/(-5) and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1429200 + 241618 = -22*m. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -108\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11d37 (base 16) to base 11\nAnswer: -4a948","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 740160 and 109152?\nAnswer: 280520640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 283773728 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5828048281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2))**(-6)*b**(-2\/15)\/((((b\/(b\/(b*b\/(b\/(b**(-4)*b)))))\/b*b)\/b)\/b))\/((b\/((b\/b**(-2))\/b))**(-2\/15)\/(b*b**5\/b*b\/b**(-3)*b)) assuming b is positive.\nAnswer: b**(386\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7417 = -40*b + 6857 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 129*m*w**5 - 134*m*w**3 + m + 4375*w - 1 wrt w?\nAnswer: 2580*m*w**3 - 804*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - q = -21. Let z(a) be the second derivative of -a**5\/20 - 2*a**4\/3 - a**3 + 7*a**2\/2 - 6*a. Let b be z(q). Solve b = -5*n - 22 + 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -n - 64, 2*n + 473 = 3*k + 436 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 10 (b) 5 (c) 20437\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 4 - (120 + -118)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.192082nm to kilometers.\nAnswer: 0.000000000007192082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 8*z**2 - 79*z - 32. Let t be c(14). Solve 36*i - t*i + 4 = -3*u, 2*u + 4*i = -24 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 749 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7487 - -17688. List the prime factors of j.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, v: 2, x: 4}. Give prob of sequence ev.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 1. Let m be b(-10). Let l = 19 - m. Suppose 5*x = -3*t - 2, -4*x = -t + l - 3. Which is bigger: t or 2\/19?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*v + 6227, -5*v = -7*v - d + 6231. Does 35 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91578?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence inya when four letters picked without replacement from {n: 1, y: 1, p: 10, a: 6, i: 1}?\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 5*s - 429. Determine v(51).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 438 + -304. Is 19 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 2*s, -d + 2*s - 31 + 10 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - l - 74487096 = 3*l, -4*a + 5*l = -74487093. Suppose -9*n - 4 = -5*n, -65934665 = -3*f - 4*n. Let k = a + f. Round k to the nearest 1000000.\nAnswer: 41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16519 + 3419. What is n rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63*c**2 + 125*c**2 - 50*c - 63*c**2 to b + s*c + v*c**2 and give s.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 3*f + (2 - 5 + 2)*(2 - f - 2) - 2 + 2*f + 2 - 2*f + 3*f + 2*f + 3*f - 4*f + 4 - 2.\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/60 and -92\/75?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uf when two letters picked without replacement from urrfr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4*a + 9. Let x be -3*-2*(3 - 2). Calculate w(x).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = u + q, 2*u + 7408*q - 7421*q + 687 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -216 (b) 0.4 (c) -2\/21 (d) 4 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 1.9. Let g = 0 - q. Let v = 1.1 - 1. Which is the smallest value? (a) v (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/4 + 1*2. Let h be (-16)\/u*(-1 - 2). Let v = h - 10. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -670, -5, -1, 0, 33 in descending order.\nAnswer: 33, 0, -1, -5, -670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-360)\/(-350))\/12*4\/6\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26490583429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311*h = -308*h - 5*l + 31, 4*h - 5*l + 38 = 0 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 - 24. Find the third derivative of o**2 - 91 + 179 - 71*o**4 + 31*o**l - 54 wrt o.\nAnswer: -960*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + 9 + -6 + 50 + -45.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 30 = -u. Let s be 4*12*u\/9. Suppose -s = -5*b - 10. Solve 0 = -4*w + 2*i - b, -3*i = w - i + 6 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.214 - -0.186. What is the third smallest value in -9, -0.2, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -5. Let h = 123 - 124. Let x = h - -4. What is the remainder when i is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3878 and -65591.14.\nAnswer: -69469.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 4*c, -3*h = -4*c - 4*h + 5. Let d(l) = -1 - 2 + 1 + c. Let o(a) = -a**2 + 2*a + 4. Give 2*d(z) + o(z).\nAnswer: -z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/21, -4353.2, 2\/9?\nAnswer: -4353.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - k = -192, -4*o + 770 = 3*k - k. What is the remainder when o is divided by 66?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 518847 is divided by 6900.\nAnswer: 1347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 192176, 384392, 576608, 768824, 961040, 1153256?\n\"Answer: 192216*r - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**3 - 4*s**2 + 2*s + 2. Suppose -4*g + 4 = -2*g. What are the prime factors of q(g)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = c - 3. Suppose 0 = 3*v + 5*d - 36 + 39, -5 = 5*v + 6*d. Calculate the remainder when 52 is divided by 36\/(v + -1 + c).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 7*b + 1. Let o be q(6). Suppose -2*n - 5*v = 1, -4*n + o*n - v = 7. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - ((3 - (2 - -2)) + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -7667 = -94063?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3312032l to millilitres.\nAnswer: 331.2032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-36)\/(-24)*(-4)\/(-3). Factor -75*x + 2*x**2 - 6*x**2 - 12*x**u - 11*x**2 + 18.\nAnswer: -3*(x + 3)*(9*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**2 - 547*j - 36432. Determine l(-158).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003426440629 rounded to 5 decimal places?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 6*a**2 - 5*a + 1. Let z be y(5). Let w(t) be the second derivative of -7*t**3\/6 - t**2\/2 - 38*t. Calculate w(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 2*i - 170*t = -175*t - 182, 179 = -420*i + 2*t - 1007 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000025114 rounded to 7 dps?\nAnswer: 0.0000251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 9*o - 23. Let f be d(7). Let l = 10 + f. Suppose -2*b + 24 = -5*h, h + 4*h + 3*b = -14. Sort l, h, 3 in descending order.\nAnswer: 3, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**3 - z**2 - z + 2. Determine n(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -69 - -20. Let x = d - -134. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 98 = 471. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3919771 - 2485456.\nAnswer: -2485456.3919771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - -358)*(-136)\/4386. Is -11 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-8))\/((-72)\/12)*4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 + -24 - (32 - 1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -26 - -64a191?\nAnswer: 64a166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13835 + -0.582?\nAnswer: 13834.418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + 1. Suppose -2*r = a - d, -2*a - 9 = -4*r - 3. Find the second derivative of s**a + s**5 - 4*s + 0*s**5 + 2*s wrt s.\nAnswer: 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 993696 is divided by 141956.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 1416 = -0*h. Let l(r) = 3*r**2 - 27*r - 300. What is the least common multiple of l(-7) and h?\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -73, -156, -255, -376, -525?\n\"Answer: -j**3 - 2*j**2 - 70*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -4*a**2 - 30*a + 0 + 1\/3*a**3. Let r be g(6). Solve 0 = -0*x - 2*x + r for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 4\/8 + (-8)\/(16\/(-3))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 - 100 = 18*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*k + 3*j, 4*k - 3*j = -8 + 1. Let m = k - -6. Suppose m*p = 53 + 27. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r + r**3 + r)*(3*r + 0*r - r) + r**4 + r**4 - r**4 - 148*r**4 + 61*r**4 + 69*r**4 in the form x + z*r**4 + t*r**2 + k*r + i*r**3 and give z.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*i**2 + 8*i**3 - 15*i**2)*(4 - 1 - 1).\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-5) - 6\/15. Suppose -2*m - 2*y = 198, m + 6*y = y - 87. Let i = m - -99. Which is the third biggest value? (a) -0.1 (b) 4 (c) i (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yftdxuu. What is prob of sequence fxt?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7599861 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110 and 902?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 + -a98?\nAnswer: -a88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*h = 3822 + 6421 - 3823 for h.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 805254567?\nAnswer: 3, 13, 20647553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52*d**2*m**3*o**3 - 2*d**2*m**2*o**2 - 582*d**2*o**3 + d**2*o + 28*m**3 - 510*m**2*o**2 wrt o?\nAnswer: 312*d**2*m**3 - 3492*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h + 53. Let n be f(-77). Let g = -120 - -172. Calculate the greatest common factor of n and g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19619078?\nAnswer: 2, 9809539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jqjs when four letters picked without replacement from gjhsjghgsghggqvgh?\nAnswer: 1\/14280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 5028090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**3 - 4*n**2 - 5*n + 6. What is the remainder when t(-5) is divided by (41 - 553\/14)*(-148)\/(-6)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 1) + (5 - 4) + 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5880 and 12320?\nAnswer: 258720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(-9) - (-56)\/54. Let z = j - 7\/27. Let k be (-2)\/(-8) + (-84)\/16. Sort z, 2\/7, k in decreasing order.\nAnswer: 2\/7, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -71 - (-140 - -26) - 29.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*r - 28 + 58 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 76, -95, -554, -1445, -2912?\n\"Answer: -24*f**3 - 3*f + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -2. Let s = -29 + 51. Suppose -3*c = -2*c - s. Solve -i - c = -4*r, y*i - 15 = -0*r - 5*r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 4601*x - 1288548. Give c(280).\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 2*r + 167, -88 = -r - 4*x + 53 + 100 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fgggltlgdftz. What is prob of picking 1 t and 1 g?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = -r, -3*a - 27 = 9*r. Solve -5*y = -3*b + 11, 5*y - 154*b + 152*b = -a for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.5 + 0. Let f = -4.4 - -4. Let r = a - f. What is the second smallest value in r, 0.4, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -5*q, -3*h - 3 = 5*q + 2. Suppose 7*x - q*x = 70. What is the remainder when x is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 - 6*m + 10. Let u be n(4). Suppose 3*t = 12 + u. Suppose 3*p = 5*p - t. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 254*r**3 - 5*r**2 + 252*r**3 - 761*r**3 - 3*r**2 + 63 + 252*r**3 to the form m*r**3 + t*r**2 + p*r + b and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3038*g = 3037*g + 4. Solve 0 = 2*z + 2*k + 8 - 6, -3*z - 2*k = g for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10517 (base 9) in base 11?\nAnswer: -5278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 27*l - 264. What is the lowest common multiple of 250 and x(10)?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 251.8162cm to micrometers.\nAnswer: 2518162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*l**2 + 1524952802*l**3 - 1524952772*l**3 - 4*l**2.\nAnswer: 30*l**3 + 15*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11831 + -260371\/22. Let n be (-51297)\/(-18090)*-1 - -1. Let s = 38\/335 + n. Find the common denominator of s and c.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28\/11? (a) -9 (b) -26 (c) 1\/10 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 53*z**3 - 4*z**2 + 71*z + 319. Give a(-4).\nAnswer: -3421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8923819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399 is divided by 195.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9021151*o**2*w**2 - o**2*w*y + 3*o**2*w + 3*o**2 + 14*o*y + w**2*y + 28*w*y + y + 57 wrt w.\nAnswer: 18042302*o**2 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 19*h**2 + h - 13. Let r be d(19). Solve -2 + r = 2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.69 rounded to 0 dps?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -2\/9, 3\/94 in increasing order.\nAnswer: -2\/9, 3\/94, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -3. Let r(j) = -7*j + 38. Let v be r(6). Which is the nearest to 2\/5? (a) v (b) 5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2948\/222 + (-88600)\/6645\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -290994*x. Let a(s) = -8*s**2 + 7. Determine a(c(n)).\nAnswer: -677420064288*n**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*d + 121*d - 4*d = 10470480. List the prime factors of d.\nAnswer: 43627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*b + 84*b - 79*b.\nAnswer: 53*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*t - 174699 - 50821 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 3*j + 2*j + 2645, 2*u - 1058 = 4*j. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/(n\/(n*n**(-2\/7)*n)*n*n))\/n)**8\/(n\/n**(2\/7))**21)\/((n*n**(1\/2))**(2\/29)*(n**(-2\/3)\/n)**(-2\/25)) assuming n is positive.\nAnswer: n**(-53356\/3045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-954)\/(-848) - (-378)\/48?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5*(-3)\/(-15)*-6. Is (-267)\/k*(0 + 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -43 - -2?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -60? (a) -14 (b) 0.3 (c) -0.1 (d) 2\/15 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -65 and 26171419035.\nAnswer: 26171418970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(68) + sqrt(17) + (sqrt(51)\/sqrt(3))**2 + -1.\nAnswer: 12 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -6*m - 4*g + 64, -2*g = 10. What is the remainder when m is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tnluuyquqluul. What is prob of sequence uyn?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*f - 65056 = 0, -m + 52*f + 32522 = 55*f. What are the prime factors of m?\nAnswer: 2, 5, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*g**3 - 2*g**3 - 3*g**3)*(5 - 1 - 5) + (91 + 526 + 123)*(g**3 - 2*g**3 + 0*g**3))*(0*g**2 - 4*g**2 + 2*g**2).\nAnswer: 1478*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s\/s**8)\/s))\/(s*s*s*s*s**4))**(-19\/2)*(s*s**8*s)\/s*((s\/(s\/(s\/s**8))*s)\/s)\/s*(s*s**8\/s)\/s**6 assuming s is positive.\nAnswer: s**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -965.3 and 0.3?\nAnswer: -289.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -830, -2, -17 in descending order.\nAnswer: -2, -17, -830","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 18*d**2 + 17. Let p be (-3 + 0)\/(-6)*204\/(-3). Let f(g) = 3*g**2 + 3. What is p*f(q) + 6*o(q)?\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*v**2 + 1236*v - 1236*v.\nAnswer: -20*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1692622 divided by -4?\nAnswer: 846311\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10300, -20634, -30968, -41302, -51636, -61970?\nAnswer: -72304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.015 (b) 498 (c) -973\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/602056889 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 6:37 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pllwplpkppwokpkkk. Give prob of picking 1 p and 1 k.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1485638 and 968.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 6.7?\nAnswer: 3.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56904 + 0.073.\nAnswer: 56904.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/9, 258, -0.5, -2, -0.3, 0.08?\nAnswer: 258","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 7:44 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2. Let g(k) = -k**2 - k - 1. Let h(m) = -168*m**2 - m - 5. Let y(r) = -5*g(r) + h(r). Calculate y(o(t)).\nAnswer: -163*t**4 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 759 and 667713.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46088216?\nAnswer: 2, 5761027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 227720 to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5289 rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 412 times 109\nAnswer: 44908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/840*42*(-8 - 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4*t = 16. Let u(i) = -3*i**2 - 4*i - 3. What is u(t)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/17? (a) -1 (b) -4 (c) 1\/70\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 + 209. Is 28 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u. Let m(o) = 6*o + 2. Let r(v) = -41*v - 15. Let s(j) = -30*m(j) - 4*r(j). Give s(h(d)).\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(80) - sqrt(5)) + -4 + 4.\nAnswer: 23*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((4\/12)\/((-1)\/6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -4*r + 4. Suppose 0 = v - 2*z - 12, -3*v - 2*v - 3*z - 5 = 0. Let d(k) = -3*k**2 + 4 - 5*k + 2*k**v - 5*k**2 - k**3. Determine d(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f. Let l(g) be the first derivative of 4*g - 5 + 1\/3*g**3 + 0*g**2. Let t(y) be the first derivative of l(y). Determine t(q(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 569.5 - 427. Let q = -142 + f. Which is the closest to 7? (a) 5 (b) q (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 127\/10 + -659\/45. Let w = 8841 + -88337\/10. What is the common denominator of u and w?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -665.834 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -35?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 147, 562, 1253, 2220, 3463, 4982?\nAnswer: 6777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 601689?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2108789618.7327972 + 2108790019. Let u = 415.2672 - t. Let z = 15 - u. What is z rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 + 32. Let k be x\/(-1)*(-2)\/14. Let t = 0.6 + -0.6. What is the closest to t in -0.4, k, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 1439885*c. Let y(v) = 2*v. Determine y(l(n)).\nAnswer: 2879770*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -561490, -1122978, -1684466, -2245954?\n\"Answer: -561488*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (8 - ((-3 - -12) + -10)) + -9 + 25\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.373 + 0.373. Which is the third biggest value? (a) k (b) -2\/17 (c) -2\/7 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.8 and -0.03.\nAnswer: 0.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 76 and 71 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/((2\/2)\/1). Which is smaller: -23\/2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 15*r**5 - 12200*r**4\/3 + 23185*r**3\/3 + 279610*r**2\/3 - 94720*r - 581280 = 0?\nAnswer: -3, 4, 2422\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26.96 - 26. Let q = x + 0.04. Is -1 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**2\/7 + 786*o\/7 + 788\/7 = 0.\nAnswer: -1, 394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 51*k**2 - 3*k + 14. Let y(h) = -51*h**2 + 2*h - 15. Let j(o) = -3*y(o) - 2*z(o). Let t(p) = 17*p**2 + 6. Determine 6*j(m) - 17*t(m).\nAnswer: 17*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*s + 11. Suppose -25 - 63 = -s*y. Let u = 108 + -100. Calculate the smallest common multiple of u and y.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/7, 7, 4, 1, -91, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 36\/30 + 2734\/(-15)*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/16 and 21\/63944?\nAnswer: 127888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 1:57 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*p = -x - 10, -x = -4*p - 8. Sort 4, -2, x.\nAnswer: -2, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*s - 65 - 69 - 106 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-304)\/48 - 3)*(-3)\/(-6)*-123. Solve -186 + o = 97*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (287 - 8)*(0 + 1). Let x = s - -25. 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: Let a(k) = k**3 - 11*k**2 - 12*k - 33. Let s be a(14). What is the highest common divisor of 43 and s?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85253.66ug in grams?\nAnswer: 0.08525366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-3))\/((-1)\/12). Suppose o + 4*r + 18 = 0, 0*r - 16 = 2*o + m*r. Suppose 3*t = 2*p + o*p + 36, 0 = t - 3*p - 17. Does 4 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*c = -252, 5*h + 106 - 526 = 3*c. Calculate the smallest common multiple of 120 and h.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3450*j*q**3*x + 1461*j*x + q**3*x + 54*q**2 + 51*q*x + 12*q - 2*x with respect to j.\nAnswer: 3450*q**3*x + 1461*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -1\/5 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*d + 44298 - 127*d - 44300.\nAnswer: -87*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**2 - 18*t + 24 = 0. Calculate t.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2092486 and 377047?\nAnswer: 2497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 12. Let t = j - -7.07. Let v = -0.31 - t. Round v to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25164228, -50328456, -75492684, -100656912, -125821140?\nAnswer: -150985368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uvb. What is prob of sequence bvu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 61902 (b) -0.1 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-153)\/18)*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24.405 - 0.405. Put 6, m, -2 in increasing order.\nAnswer: -2, 6, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1973, 8111, 18275, 32459, 50657, 72863, 99071?\n\"Answer: -z**3 + 2019*z**2 + 88*z - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-560)\/(97 + -17) + -2*(-2 + 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (75 - 1 - 3 - (0 - 0)) + (3635 - 3627)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26304212.00000018 - 26304210. Let g = 1.6 + 0.4. Let r = g - b. What is r rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 (base 3) in base 16?\nAnswer: f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 9, 8, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 44 = -5*v, 5*d + 6 = -0*v - 2*v. What is the common denominator of (-280)\/24 + (0 - -3) and (((-23)\/v)\/1 - 3)*-87?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22877800 to the nearest one million.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**3 + 11*r - 13*r + 8*r**2 - 4*r**3 in the form j*r**2 + u*r + k + l*r**3 and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 358 + -217. Suppose -2*k + f = w, 3*w - 4*k - 298 = w. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6030, 24195, 54464, 96837?\n\"Answer: 6052*i**2 + 9*i - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*q**5 + 39584*q**4 + 522201*q**3 + 1693014*q**2 + 1771612*q + 315720 = 0. Calculate q.\nAnswer: -4385, -9, -2, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 4*c + 3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 624 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.3 (b) -3 (c) 1\/6 (d) -0.274\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(-54)*(1160\/152 - 7)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 7:49 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.30842302 + -0.16399?\nAnswer: -0.47241302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17240*u + 13 = k - 17248*u, -5*k + u = -26 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1676336*l**3 - 7130550*l wrt l.\nAnswer: 10058016*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 3*j + 10 = -14, j = -4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0 = 2. Let h(g) = -g + 20. What is the remainder when 63 + -1 + -1 + p is divided by h(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.7? (a) 1\/27 (b) -0.06 (c) 114\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 23 = 27 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 165671 greater than 165669?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of r**6\/6 - 31*r**5\/5 - 2*r**2 + 19*r - 59. Find the second derivative of z(s) wrt s.\nAnswer: 20*s**3 - 372*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + 5. Suppose -6*p + 2*p + i = -j, -9 = -3*p. Let h(r) = -r + 20. Let b be h(15). Solve 4*m - 2*m - 8 = 2*v, -j*v + b*m - 23 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven tenths of a litre in millilitres?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -856, -1711, -2564, -3415?\n\"Answer: g**2 - 858*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 10. Let u(b) = 0 - z + 17*b - 79*b - 5*b. Does 42 divide u(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 9*l**2 + 12*l - 16. Let s be f(8). Let j = 21 - s. Suppose 3 = -4*o + j*o, 5*r - o = 167. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2830 and 43614392029.\nAnswer: 43614394859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, d: 3}. Give prob of picking 2 i.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 83045\/3 or 27681?\nAnswer: 83045\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11.934 - -11.933993017. What is l rounded to seven dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10136.979529 - -10137. Round k to 4 dps.\nAnswer: 0.0205","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of m**4\/12 - 3*m**3\/2 + 9*m**2\/2 + 12*m. Determine u(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a - 1. Let w be f(3). Solve -3*k - 2*x - 18 = k, k + w*x = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 407, 419, 437, 461?\nAnswer: 491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of x**5\/20 - 74*x**2. Let s(v) = 26*v. What is s(b(t))?\nAnswer: 78*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 310099 by -6.\nAnswer: -310099\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 k when four letters picked without replacement from kukkkkkukkkk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2645, 1294, -31, -1318, -2555?\nAnswer: -3730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**4 - s**4 + 2*s**4 + 2*s**4 - 1 + 1 + (0*s**2 + 2*s**2 - 3*s**2)*(2*s**2 - 5*s**2 + s**2) + (0 - 2*s**2 + 0)*(2*s**2 - 6*s**2 - 4*s**2).\nAnswer: 21*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -1. Let w = -192 - -191. Suppose 0 = -2*m - 3 - 3. Sort w, c, m.\nAnswer: m, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-56))\/(13\/52). Sort -1\/3, 1, -0.3, u in descending order.\nAnswer: 1, u, -0.3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7\/4 (b) -1 (c) 1\/4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/25 of a centimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*((-3*(sqrt(700) + 2))**2 + 1).\nAnswer: 720*sqrt(7) + 12676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**2\/3 + 97678*x\/3 - 32559 = 0.\nAnswer: 1, 97677","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-3*(0 + sqrt(245) + -1 - -2*sqrt(245)*1)*6)**2.\nAnswer: -340200*sqrt(5) + 17868600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 7 = 12*p - 15*p, 10*o + 50 = 0. Solve -5*y = -f - 15, 0*f = p*f + 2*y + 16 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -909 + 909.1. Let m be (-3 + 0)*1 - -4. Let w = m + -25\/23. Which is the third biggest value? (a) q (b) -0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggsgssgsgsg. What is prob of picking 3 s and 1 g?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*n = -91, -4*f + 2*f + 5*n - 30 = 0. What is the smallest value in 3, f, -8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 54 = 5*i, -1 = -z + i + 15. What is the remainder when 140 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/10*((-2)\/(-18))\/(45\/(-216))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5668a (base 15) to base 3.\nAnswer: -111222000211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6129 + 11483. What is the thousands digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.79 - -0.29. Which is the fourth smallest value? (a) -0.2 (b) -1 (c) k (d) -1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3927*m + 3928*m - 76, 5*u = -10. Calculate the least common multiple of m and 78.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = p + 5*u, 3*p + u = 3*u - 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nsxbxps. Give prob of picking 2 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/(z*z*z**(-6)*z))\/z)\/z)\/(z\/(z*z*z*z**(1\/3))))**(-50) assuming z is positive.\nAnswer: z**(-650\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1023 and 153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of c**4\/24 + c**3\/3 + 44*c**2. Determine l(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/10 and 1\/5858?\nAnswer: 29290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011333543 to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5*b = 26 - 10, -2*b = 5*s + 19. Sort 15, s, 3, 5, -4.\nAnswer: -4, s, 3, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 290423 and 9180923?\nAnswer: 5927","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j - 40 = -21*j. Factor 115*g**2 + 24*g**4 + 42*g + 155*g**3 - 12*g - 45*g**3 + g**j.\nAnswer: 5*g*(g + 1)*(g + 3)*(5*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -14*j**4\/3 - 3320*j**3\/3 - 42046*j**2 - 1325720*j\/3 - 186824\/3 = 0.\nAnswer: -193, -22, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -3, 3, 531 in increasing order.\nAnswer: -17, -3, 3, 531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g - 3. Let h be l(-3). Let w = -10 + 16. Solve 2*c + w = -h*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -u + 3*l - 33, 0 = 4*u - l - 25. Solve -3*n = -i - 5, -5*i - u*n + 3*n = -9 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 1. Let n(u) = -7*u - 11. Let v(g) = -31*g**2 - 1083*g + 71. Let o be v(-35). Give o*n(a) + 6*f(a).\nAnswer: -7*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3323 (base 4) in base 6?\nAnswer: 1055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18812*t**2 + t - 746360.\nAnswer: -37624*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26\/5*h - 22\/5*h**2 - 4\/5.\nAnswer: -2*(h - 1)*(11*h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-36)\/15 - -2 - 562506\/(-15). What is m rounded to the nearest 1000?\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**3\/7 - 12114*b**2\/7 + 1944028*b\/7 + 1956144\/7 = 0?\nAnswer: -1, 166, 5892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-25)\/75)\/((-4)\/1065684) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (-3 + (-36 - -41 - (-3 - -1)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/27))**(-39)*(g\/(g*g**(-4)))\/g**(-12\/5))**(-8) assuming g is positive.\nAnswer: g**(-3344\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.48? (a) 1\/6 (b) 1\/5 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 2*d + 7. Is d greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001505808 rounded to four decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 298 or 3262\/11?\nAnswer: 298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/41, 4, -0.05, -2\/5, 3 in decreasing order.\nAnswer: 4, 3, -0.05, -3\/41, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -139062 by -19866.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -7\/5 (b) 1\/2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*b = 2557 + 575 for b.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2996 - -2974. Which is the nearest to 1\/2? (a) 3 (b) 0.4 (c) 1 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 2:11 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q + 4. Suppose -3 = -4*f - 107. Let b(t) = -t - 1. Let k(l) = f*b(l) - 6*w(l). Give k(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.38316462 + 0.0221083.\nAnswer: -7.36105632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12187 * 112.\nAnswer: 1364944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 4*j + 4*j)*(-1205 + 1205 + 521*j - 1720*j + (0*j + 5*j - 3*j)*(3 + 3 - 5) - 3*j + j + 4*j).\nAnswer: -2390*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 3 = j + 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -744, -742, -740, -738, -736, -734?\nAnswer: -732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 24 = 4. Suppose 3*i = 3*n - 24, -2*n - 5*i - 22 = -n. What is the least common multiple of k and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/1704 and 97\/180.\nAnswer: 25560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1313300302 + 11?\nAnswer: 1313300313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 n, and 2 u when four letters picked without replacement from bdnbututddbtbgg.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(99\/93) - 141\/(-47).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.3 - -1.2. Let m = 6 + -8.3. Let j = m - 0.7. What is the closest to r in -2, j, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**3 - 13*x + 13*x)*(-12*x - 34*x - 5*x)*(-2949 + 2949 + 15*x).\nAnswer: 3825*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -0.4, -3643, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-80)\/15*(-6)\/4. Suppose 2 = -5*r - d. Let s = -88 + 93. Put s, r, -5 in decreasing order.\nAnswer: s, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-63)\/6)\/(6\/(-8)). Solve 1 = -l, 2*p - 2*l = -p + y for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -60314 less than -58088?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -11)*9\/6. Let p be ((-4)\/(-3) + -1)*c. Suppose -2*y + p*y = 4*r - 24, 2*y + 20 = 4*r. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*c = -u - 59 - 48, 6*u - 3*c = u + 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3603?\nAnswer: 3, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -404132341?\nAnswer: 404132401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 673.1l to millilitres.\nAnswer: 673100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(405)*-5 + -5)**2 + (sqrt(40)\/(1*sqrt(8)))**2*-3*3.\nAnswer: 270*sqrt(5) + 10089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 15 = -v. Suppose 0 = -3*j - 0*j + 9. Suppose -p - 20 = -j*p. What is the least common multiple of v and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 359.775 nanoseconds to microseconds.\nAnswer: 0.359775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-1 + sqrt(90)\/sqrt(2) - sqrt(45)) + 0 + sqrt(720) - ((sqrt(80) + -5 + sqrt(5) - (sqrt(5) + -1 + 0)) + (sqrt(4840)*1)\/sqrt(8)))**2.\nAnswer: -30*sqrt(5) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*(s**(-1\/4)\/s)\/s*s*s*s*s**(-3))**(5\/16))**(-5\/11) assuming s is positive.\nAnswer: s**(25\/704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*y - 15*y + 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -318*v + 108*v + 88 + 106*v - 22 + 103*v.\nAnswer: -v + 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -140*z**2 + 21*z + 119. Let y(q) = 7*q**2 - q - 6. Let n(o) = -6*w(o) - 119*y(o). What is the second derivative of n(l) wrt l?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.28 - 0.28. What is the nearest to s in 5, 0, -1\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-14))\/(y*y*(y\/y**9)\/y*y*y)*(y**(16\/5)*y)\/y**9 assuming y is positive.\nAnswer: y**(-64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-330)\/(-27))\/11*(-12)\/16.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/11070 and 11\/164.\nAnswer: 22140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -105.3 - -105. Let b = 0.5 + -2.5. What is the closest to -0.1 in m, b, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -13*o + 485. Calculate the remainder when o is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 1 = -i, -5*u - 28 - 2 = -4*i. Suppose 2*l = 6*l. Sort l, -5, u in decreasing order.\nAnswer: l, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.8, 3, -2\/5, 8, -258 in descending order.\nAnswer: 8, 3, -2\/5, -0.8, -1, -258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19486\/41 or -476?\nAnswer: -19486\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-36)\/(-2)*3\/6. Let q(z) = z**2 - 7*z + 20. Let k be q(s). Let n = k - 23. What is the highest common factor of 60 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1212561 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/3, 0.441, 0.0414?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven halves of a kilogram in grams?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 825 divide 50119584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 447265 and 130.\nAnswer: 894530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/27 and 89\/84?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/4)\/(1\/(-4)). Solve -i*t + 8 = -t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 33\/9 - 1\/(-3). Suppose -o - 18 + t = 0. What are the prime factors of (-66)\/(-14) - 4\/o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 10\/103269 and -8\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a - 10 = -19*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*g + 0*g + 2*g)*((4 - 4 - 2)*(4 - 2 - 3) + 0 + 2 + 0 + 0 - 2 + 1 + 511 - 1270 + 551) to the form a*g + n and give a.\nAnswer: 410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 27.59 > 6887?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6999444 divided by 6\nAnswer: -1166574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 18 - 9 - 530995*h.\nAnswer: -530995*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.73452243 * -4.\nAnswer: -6.93808972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1104 divided by -6.\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -5611*i**2 - 10014*i**2 - 2123*i**2 - 5007*i**2 as m*i + j*i**2 + k and give j.\nAnswer: -22755","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -3*r**3\/7 - 120453*r**2\/7 + 722847*r\/7 + 120471 = 0.\nAnswer: -40157, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -181 + 180. What is the common denominator of -43\/20 and k\/(-18)*3 - (-185)\/165?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -95\/4 - -24. Let w(r) = 2*r - 1. Let d be w(1). Is d < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 778, 1634, 2682, 4030, 5786, 8058?\nAnswer: 10954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1247\/4 - 1003827\/3220. Let o = 1592\/7245 + d. Let i = 0 + 2. Which is the closest to -1? (a) 0.05 (b) i (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -k + 3, 2*k - 15 = 1869*x - 1871*x - 3*k for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 9) to base 10\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 785 - 790. Which is the third biggest value? (a) 1 (b) o (c) -1\/4 (d) -0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 + i**2 - 2*i**2)*(-3 - 2*i + 3) - 3*i**3 + 2*i**3 + 2*i**3 - 5*i**3 + 2 + 3*i**3 + 4*i**3.\nAnswer: -3*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*2\/((-4)\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.317 - -1.617. Which is the second biggest value? (a) 22 (b) -2\/7 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n + 1. Suppose 0 = -j + 3*s + 19, 0 = 2*j + 9*s - 5*s + 12. Let h(x) = 3*x - 1. Let z(y) = j*r(y) + h(y). What is z(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 + 1 + -2 + (-32 + -6 - -54)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 24 + 0 + 48*w + 26 - 4)*(-18*w**2 + 5*w**2 - 22*w**2).\nAnswer: -1680*w**3 + 595*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 611956 is divided by 611446?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -n**7\/147 + 2*n**6\/105 + 3*n**5\/70 - 2*n**4\/21 - 4*n**3\/21 - 35*n. Find c such that h(c) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -8*a**2 + 13*a + 5. Determine z(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(300) + sqrt(300) + 0 + sqrt(300))**2 + (sqrt(300) + (sqrt(300) - -2*(sqrt(300) - (sqrt(300)*1 + sqrt(300)))))**2)*-1 + -5 + -4 + 5.\nAnswer: -8104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 38261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -3*b + 27. Let p(h) = 344*h - 2048. Let c be p(6). Solve b*t - t = -c for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*n + 133543 - 66772 - 66767.\nAnswer: -58*n + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108\/11 + 1 + -33 + (115 - 93).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2. Let i(v) = 2*v**2 + 258*v. Calculate i(t(x)).\nAnswer: 2*x**4 - 258*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 4:33 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 218.3698l to millilitres.\nAnswer: 218369.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111010 (base 3) to base 6.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11006 + -10993 + 52 + 1\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87634.88 minutes to milliseconds.\nAnswer: 5258092800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) -5 (c) -1\/4978 (d) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12901*s - 31019*s + 3854*s.\nAnswer: -40066*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 289 + -162. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 409*d = -10055 + 1279 + 3456 - 17175 for d.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i**5 + 31*i**4 - 74*i**3 - 57*i**2 + 122*i - 40 = 0. What is i?\nAnswer: -20\/9, -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.2 and 2.3?\nAnswer: -2.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.11 and -0.1011855?\nAnswer: 0.011130405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 31*k**2 - 96*k + 1085. Calculate y(29).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8883 and 3431.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**2 - 35*p - 30. What is k(-15)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -216*((-54)\/16 - -3)*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/180*(-3)\/12*2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7376507 to the power of 1\/2, to the nearest integer?\nAnswer: 2716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4 - 66*h**3 + 636*h**2 - 1600*h - 2304.\nAnswer: 2*(h - 18)*(h - 8)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31)\/(-14) - 930\/372 - 244\/28?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 5*v**2 - v + 4. Let y(c) = 2*c - c - 3*c + 4 + 8*c. Let d be y(1). Suppose d = -2*b - 2. Give u(b).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*(-3)\/54)\/((-2)\/30) - 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3 + 6 = 0. Let y be 0*(w*-3)\/3. Let n = 10 - y. Solve 2*d + 2*h - 12 - 4 = 0, 5*d - 5*h - n = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 50016, 0, -1\/8, 3, 1\/7, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 1865 in descending order.\nAnswer: 1865, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/4, 0.1, 4, 0.22?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 6.66.\nAnswer: -1.998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5216513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 times 1332847?\nAnswer: 15994164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*u**2 + 289*u**3 - 4 + 574*u**3 + 23*u**2 + 721*u**3.\nAnswer: 1584*u**3 - 2*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuducnnunu. Give prob of picking 1 d and 1 c.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = v - 6*v. Let u be 46486\/10 + v\/(-40)*1. Let s = u + -2330. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -23 - 8037\/(-456)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.937208 milliseconds in nanoseconds?\nAnswer: 4937208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -9\/583175?\nAnswer: -9\/583175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 234*h**3*y - 51177*h**2*y - 2*h*y + 7*h - 3*y - 463276 wrt h.\nAnswer: 1404*h*y - 102354*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -8*h + 6. Let p be q(-7). Let c(y) = 8*y**2 - 6*y + 11. Let a be c(-5). Let n = 396 - a. Calculate the highest common factor of n and p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1313636*f**5 - 1049522*f wrt f.\nAnswer: 26272720*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tyyyxvtvtvexxle. What is prob of picking 1 x and 1 v?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4 - 4 + 2*i. Let w(l) = 4*l**2. Determine u(w(d)).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, -46, -2\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 278.17 + -276. Let b = u - 2. Round b to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 98 and 0.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26.6 + -28.59. Let t = -0.01 + k. Let v be (2 + 1 - 7)\/(-10). What is the closest to v in 0, 0.2, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188188.\nAnswer: 2, 7, 11, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1200)\/(-280)*(1 - (-67)\/3). Find the second derivative of 24*o - 45*o**2 - 16*o**2 + i*o - 7*o wrt o.\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3214520?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 26*i - 142. Determine m(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 44*z**2 - 49*z + 209. Determine w(43).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 412?\nAnswer: -413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6423 - -6531.61. Let q = -106.97 + -1.03. Let l = q + h. Round l to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*b**5 - 2*b**5 + b**2 - 4*b**5 - 8*b**2 wrt b?\nAnswer: -600*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-3) + 1\/(-3). Let r be (q + -2 + -1)\/(-1). Let i = -24 - -34. What is the highest common divisor of i and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1552, -4, -2, 5, -35, 0 in descending order.\nAnswer: 1552, 5, 0, -2, -4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.9 - -2.9. Let m = -3.46 + 0.36. Let y = 3 + m. Which is the closest to -6? (a) p (b) y (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**2 - 2*i + 3. Let s(t) = t - 1. Suppose -5*x + 18 = 3. Let p = x - 1. Let n(b) = b - 4. Let q be n(5). Give p*s(z) + q*y(z).\nAnswer: -2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 15) to base 3\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k + 8*k + 3*k - 10*k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 y when two letters picked without replacement from zenyremn.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/4 in -5, -8, -13, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 576\/(1656\/(-23))*5\/2?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115*0.4.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 1. Let z(n) = 9*n - 2. Let o(d) = 4*i(d) + z(d). Let g be o(6). What is the greatest common factor of 8 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -3. Suppose -5*w + 56 = 6. Let x be 0 - (r - w\/2). Solve x*y + 2*l - 11 = 0, 2*y - l - 1 = -2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.23073747 - -11.30334.\nAnswer: 11.53407747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 12 = 0, -88*d + 5*g = -93*d - 378 + 408 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/21, -1\/8, 4.06, 0?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 + -12222021222?\nAnswer: -12222022102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 311975712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 783 minus -0.1106?\nAnswer: 783.1106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19 + 349?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 468628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a9 + 50?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2212102 + 1?\nAnswer: 2212110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 14*x**3\/3 - x**2\/2 - 2*x - 154. Let q(w) = -2*w**2. What is q(v(t))?\nAnswer: -1568*t**2 + 112*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.92169 to two dps.\nAnswer: 0.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 d when three letters picked without replacement from dpdppddpppdpddppdd?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*0.5084648.\nAnswer: 3.5592536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 96 - 4 = 0. Suppose 2*r - 46 - 40 = 0. Let c = r + l. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + c + 10 = 0, 0 = 4*x + c - 5 - 9. Suppose 3*b + 2*p - 667 = 0, -x*b + 948 = -4*p + 52. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 19350*l**2 + 2365*l - 1419. Let a(v) = -82*v**2 - 10*v + 6. Let i(u) = 473*a(u) + 2*o(u). Let d(w) = -8*w**2. Calculate i(d(y)).\nAnswer: -5504*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -211002212111 (base 3) to base 4\nAnswer: -1222032232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + m**2 - m - 1. Suppose -3*y = -7*y - 8, s = -y - 1. Let j(q) = -q + 1. Determine s*u(b) - j(b).\nAnswer: -b**3 + b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - 0) + (4 - 6). Sort m, 4, -4.\nAnswer: m, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 + -39. Suppose 2*s - 6*c + 3*c = 7, 0 = -c - j. Is s > 12\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 111 or 110?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 7200 in descending order.\nAnswer: 7200, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001309955 to six dps.\nAnswer: 0.000131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*i**5 - 238*i**4 + 156*i**3 + 127239453*i?\nAnswer: -500*i**3 - 2856*i**2 + 936*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1848?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7, 24, 77, 184, 363, 632, 1009?\n\"Answer: 3*w**3 - 4*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -282 + 199. Let w = 37 - f. Calculate the greatest common factor of 15 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 381269?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -27 - (217 + -232)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -11*a - 103. Let l(q) = -6*q - 50. Determine -5*l(n) + 3*x(n).\nAnswer: -3*n - 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/6190 (b) 0.4 (c) 0 (d) 11\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 2116.\nAnswer: 19044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1084993560 to the power of 1\/2, to the nearest integer?\nAnswer: 32939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1112*v = 451*v + 1320*v - 160*v + 255962 for v.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 4:11 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**2 - 4*d**3 + d**2 - 12*d**3 - 8*d + 8*d + (-3*d**3 - d**3 + 2*d**3)*(2 + 0 + 0).\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -357*m**2. Let c(w) = 6*w**2 + 148*w. Determine c(f(r)).\nAnswer: 764694*r**4 - 52836*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**4\/5 + 7974*o**3\/5 + 3494112*o**2\/5 - 7974*o\/5 - 3494109\/5 = 0 for o.\nAnswer: -383, -1, 1, 3041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*z**4 - 232*z**3 + 5876*z**2 - 20312*z + 7200 = 0 for z.\nAnswer: -25, 2\/5, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 1254.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 9:25 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*r - 29*r + 14*r + 4 + 2*r - 4 - 2*r + 3*r + 0*r - 2 + 2 - r + (-2 + 3 + 0)*(-2*r + 2*r - 2*r) - r + 0 + 0.\nAnswer: -24*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -18, -3, 1\/92.\nAnswer: -18, -3, 0, 1\/92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 3*s**2 + 2*s + 3. Let o be c(-6). Suppose 4*y + 4*a - 456 = -0*y, -2*y + 5*a + 228 = 0. Let g = y - o. Is 5 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-42)\/2*(-14)\/21 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45814537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72 - 40. Let m be ((-1)\/2)\/((-16)\/y). Calculate the common denominator of (-438)\/6*m\/(-9) and 73\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 102894513 to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17848 + -17846. Solve i - 225 = -3*t - 208, -t + b*i = -1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1434, 5613, 12534, 22191, 34578?\nAnswer: 49689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10270 = 2*l - h + 522, 0 = -3*h. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + p - 1)*(-3 + p**4 + 3).\nAnswer: p**5 - p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 4 (b) -0.15 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a millennium in years?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - c**2 + c + 2. Let d = 0 + 2. Let g(j) = -3*j + 3. Let x be g(d). What is the tens digit of u(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13628*-0.3\nAnswer: -4088.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13255 and -10.34?\nAnswer: 137056.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1085001 divided by 911?\nAnswer: 1191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.13095ml in litres?\nAnswer: 0.06513095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-9\/4)*q)\/q)**14*(q**4)**(-2\/159) assuming q is positive.\nAnswer: q**(14453\/318)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 60862, 121724, 182586, 243448, 304310, 365172?\n\"Answer: 60862*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 4.1, -1\/15, -4, -11.7?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 3:41 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9760.9044 + 503788.4?\nAnswer: 513549.3044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*i - 1190 = 37*i. Calculate the remainder when i is divided by 41.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 3*x. Suppose x*s - s = -4. Let r be (-2)\/s - (-57199998)\/(-4). What is r rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n + 3 - 3 + (0 - 3 + 0)*((-n - 1 + 1)*(4 - 3 + 0) - n + 2*n - 3*n - 5*n + 5*n - 2*n) as z*n + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 666098740.\nAnswer: 2, 5, 3833, 8689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 5*o**4\/4 + 50*o**3 + 1125*o**2\/2 + 2500*o + 100. Factor i(f).\nAnswer: 5*(f + 5)**2*(f + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*j + j. Let h = j - 3. Suppose 4*d - 5 - 11 = h. Solve d = 2*g - 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -17. Suppose 12 = 2*p + j. Suppose -p*t - a = -251, 3*t = t - 5*a + 82. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = 2*d - 9*i - 100, -2*d - i + 94 = 0. Let q = 77 - d. Let k(l) = l**2 - 28*l + 14. What are the prime factors of k(q)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 69 + 2692*o + 68 + 42 - 179 to j*o + p and give j.\nAnswer: 2692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 3*q**3 - 3*q**3 + 4*q**3 to the form l*q**3 + z*q**2 + y + k*q and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-2*(4 + 4 + (sqrt(1584) + 4)*-6 + 0 + 3)**2.\nAnswer: -457544 - 14976*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18263475?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 545 + -544. Suppose -5*o - 95 = -5*x, -o + x = -4*o - 65. Let b = o + 25. Solve -16 = 2*v - b*n, 0 = 2*v + n - 0*n + z for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 0. Let r = 22 + -15. What is the third derivative of -d**4 + r*d - 7*d - d**k wrt d?\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 6:57 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/84)\/((-7)\/(-8))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1473217466 to the power of 1\/3, to the nearest integer?\nAnswer: 1138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*t + 295 + 1047 = -9*t for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 423007978*f + 352938295 wrt f.\nAnswer: 423007978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - u - u)*(-3 - 2 + 3) + 0*u - 3*u + u - 12*u + 9 - 9.\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 426105\/30 + (-70)\/20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*g + 25*g - 11*g to m + t*g and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 7*x - 1. Let o = -12 + 12. Suppose -6*t + 6 + 0 = o. What is the units digit of j(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (4 - (5 - -7)) + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 220061.6 litres in millilitres?\nAnswer: 220061600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**4\/2 - 3*x**3\/2 + 49*x**2 - 192*x + 208 = 0.\nAnswer: -13, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 2. Suppose -7*j + 30 = -2*j. Let f be z(j). Let o(n) = -n**2 + 12*n - 2. Is 10 a factor of o(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**2\/15 + 255736*c\/15 + 8175112712\/15 = 0. What is c?\nAnswer: -63934","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of b**3\/3 - 7*b**2\/2 - 6*b + 6. Let l be q(10). Find the common denominator of (-1)\/(-6)*9\/l and 11\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -97 - -147. Let u be (-1)\/(-1) - (-4 - 0). Suppose u*k - 43 - 42 = 0. What is the remainder when v is divided by k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2227895?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 196323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 9:00 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 10000001 (base 2) to base 4\nAnswer: 2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(0 - (-1)\/3). Let c(u) = -1 + 87*u**3 - 197*u**3 + 100*u**3 + 0. Let s be c(x). Solve 0 = -r + 4*r - s for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 374.78 and -57717.\nAnswer: -57342.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/3*s**3 + 16*s - 2\/3*s**4 - 6 - 44\/3*s**2.\nAnswer: -2*(s - 3)**2*(s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1147\/124)\/((-2)\/(-8)). Let i = 184 + p. List the prime factors of i.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5)\/f**2*f**4*f*f**(-5\/2))**(-14) assuming f is positive.\nAnswer: f**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25\/257 + 339\/1799. What is the second smallest value in 2\/5, 1\/2, d, 55?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/5, 1\/2, 29\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 1 - 2)*(-4*d - 2*d + 4*d) + 12*d - 15*d - 15*d)*(-17 - 40 - 4) + (1 - 1 + d)*(-2 - 2 + 3).\nAnswer: 1219*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - ((0 - 1) + 13).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**3 + d - 6*d**3 - 11*d**3 + 4*d.\nAnswer: -12*d**3 + 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4*c**2 + 4*c + 7*c**2 - 424*c + 414*c. Let i(p) = p**2 + p - 1. Determine h(s) + i(s).\nAnswer: 4*s**2 - 5*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12100 - -11?\nAnswer: -12012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.9 - 0.4. Suppose -6*j + 15 = -j. Suppose 0*c = -j*c. What is the smallest value in 1\/4, t, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (20 - 20 + 35*c)*(0*c**3 - 2*c**3 + c**3) in the form a + z*c + v*c**2 + b*c**4 + r*c**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 17*b**2 + 2*b - 1. Let p = -6150 + 6133. Give a(p).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 15 = 5*p, -p - 21575 = 5*b - 21626 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1)\/(-18))\/(330\/13950) and 181\/60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28284, -56554, -84824, -113094, -141364, -169634?\nAnswer: -197904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11207, -11198, -11183, -11162?\nAnswer: -11135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 g when two letters picked without replacement from yzcycccczcgcccgczgcc.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2946*x**2 - 4*x + 2. List the prime factors of z(1).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 7:32 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**3 + 1686*j**2 + 119016*j - 4403160 = 0. What is j?\nAnswer: -90, 27, 906","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -6 + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(152))\/((sqrt(88)*-1)\/sqrt(11)) + 3.\nAnswer: 3 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.237959261 to 2 dps.\nAnswer: -4.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ses when three letters picked without replacement from {s: 16, e: 2}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, m: 1, f: 1, h: 3, r: 2}. Give prob of picking 1 h and 1 m.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.29 - 0.26. Let i = -4.03 + r. Put i, 2\/5, 0.3, -3 in descending order.\nAnswer: 2\/5, 0.3, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 1:23 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**9\/100800 - h**8\/8400 + h**7\/1680 - h**6\/600 - h**5\/10 - 3*h**2. Let j(o) be the third derivative of r(o). Solve j(f) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 908, 4, -19434 in ascending order.\nAnswer: -19434, 4, 908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 5*a**2 - 7*a - 2. Let x be f(-6). Let r be -1*(3\/(-2))\/(2\/4). Solve -r*w - 1 - 8 = 0, -5*w = x*m + 27 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3663264 (base 12) in base 13?\nAnswer: -22660c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(5100))\/((sqrt(3) + sqrt(3)*1)*5) + -5*sqrt(68) + (sqrt(119)*-1)\/sqrt(7) + ((sqrt(85)*-1)\/sqrt(5))**2*4.\nAnswer: -8*sqrt(17) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3528 = 3*v, 0*v + 4*v = -2*c + 4714. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-9) + 119\/153 - (-92)\/(-6)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/(-2))\/(13 + (-200)\/16). Sort 5, u, 2 in decreasing order.\nAnswer: 5, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 7 + 4. Suppose 10 = m + 2. Suppose m*t = 3*t + 10. Are t and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*g + 21 = -d, 23 = 4*d + 3*g. Suppose w - 8 = -w. Suppose -d*u + 0 = -w. Solve u*x + x + 3 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -9. Suppose a - z*a = -16. Suppose 5*w - 73 = 2*m, 48 = a*w + 2*m - m. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 42624 - -2100?\nAnswer: 44724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 8088*j**2 - 1. Let q(w) = -1508*w**2. Give m(q(z)).\nAnswer: 18392629632*z**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a - 2*g - 16, 3*g - 5 + 28 = -a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (361*r - 774*r - 5536*r)*(-r + 3*r + r) + (-4 + 4 + r)*(0*r - r + 0*r) + 0*r**2 + 0*r**2 + 2*r**2 + 2 + 2*r**2 - 2 to g*r**2 + d*r + o and give g.\nAnswer: -17844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than 0.70251287?\nAnswer: 0.60251287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n = -4 + 20 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -0.03. Let g = o + -5.03. Let j = g + 8. What is the closest to -0.2 in -1\/5, 1\/3, j?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-168)\/(-585)*18 + 135\/585. Solve q*x + 0 + 8\/5*x**4 - 18\/5*x**3 - 1\/5*x**5 + 0*x**2 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-410)\/(-12) + (-938)\/804. Solve n*a - 231 = -66 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2998679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 459355 and 1.\nAnswer: 459356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + (-8 - -16) - (-2 - -2)) + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 1\/20*d**5 + 0 - 19*d**2 + 3\/4*d**4 + 0*d + 5\/2*d**3. Factor i(b).\nAnswer: 3*(b + 1)*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -277 + 280. What is the second derivative of -114*n**4 - n**2 + 7982*n**3 - 1 + 4*n - 7982*n**k wrt n?\nAnswer: -1368*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-24)\/(-5))\/(-6) + 28\/10. Which is the nearest to 2\/5? (a) j (b) -2\/3 (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/18*(-6)\/10?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-12)*(-9)\/(-2) - 6. Let j = -0.1 + 0.3. Which is the nearest to -1? (a) -2 (b) j (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 265 + 52 = -2*a, -5*a + 561 = 2*w. List the prime factors of a.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -649*o - 59 = -639*o - 9. What is the nearest to -4 in 0.1, o, 4, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 37. Suppose 0 = 3*w + 4*m + m + 4, -5*m = 2*w + 6. What is the lowest common multiple of w and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15147 and 39?\nAnswer: 196911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8546683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18 - -b28590a?\nAnswer: b285926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ft when two letters picked without replacement from rrtrrvttrfvrtr.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1133 + 33076?\nAnswer: 31743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35.8 - 37. Let x = 1.6 + a. Suppose 0 = -3*i - 4*h + 17, -3*i + 3 = 2*h - 10. What is the nearest to -0.2 in i, x, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23\/(15870\/(-6120)) + 3\/(-23)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -318310 by 2.\nAnswer: -159155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2 + 11*x + 27. Let j be y(-12). Let b = j - 104. List the prime factors of b.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/6 + (-12)\/(-18). Let i = 2 + w. Solve -6*v - 13 = -4*x - v, -3*x - i*v + 3 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001071992 rounded to six decimal places?\nAnswer: -0.000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4561\/49 or 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 384 divided by -74?\nAnswer: -192\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*-1*-1)\/(-4*sqrt(24) - (sqrt(216) + sqrt(216)*-1 - sqrt(6))).\nAnswer: -4*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3604?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7 times -129.3457\nAnswer: 905.4199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 9*h + 669. Let i = h + 94. Let g be 1\/(-4) + 23\/8*i. What is the greatest common factor of g and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v + 58. Let y(l) = -5*l + 292. What is 11*k(h) - 2*y(h)?\nAnswer: -h + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 42656.\nAnswer: -42655.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence foo when three letters picked without replacement from fooo.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 796495501 a multiple of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 1201, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20393982?\nAnswer: 2, 3, 7, 17, 9521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*k + 26*k + 38 = -2*z, 0 = 18*k + 5*z + 591 for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -22 and -375.\nAnswer: -397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u + 8. Let c be t(7). Let k = -3 + -15. Let f = c - k. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/5)\/(r*r**(3\/11)))**39\/((r*r*r**8*r*r*r)\/(r\/(r*r\/(r*r**2*r)*r)))**(-2\/37) assuming r is positive.\nAnswer: r**(-115673\/2035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -308334936 divided by -102778312?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - o - 3*o)*(-2*o + 4*o - 3*o)*(-375 + 51*o + 375).\nAnswer: -51*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1387 times -2350\nAnswer: -3259450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-24)\/4)\/(-5 + 3). Let n be 6\/(-21) - 4\/(-14). What is the remainder when 35 is divided by (11 - 2) + n\/p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*j**4 + 11*j + 5 - 2*j - 4746*j**3 + 4748*j**3 + 25*j - 6 as w*j**2 + h*j**4 + r + y*j + q*j**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*r - 35 = 0. Suppose -j = 2*h - 36, 5*h - 4*j - 140 = -24. Let w = r - h. Calculate the remainder when w is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 5.712025?\nAnswer: -17.136075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (14*8\/(-48))\/((-2)\/(-6)). Let s(m) = -21*m + 71. What is the hundreds digit of s(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1274 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6*d**2. Let n(b) be the third derivative of 0*b**3 + 0*b - 1 - b**2 + 1\/2*b**4. Calculate c(n(v)).\nAnswer: 864*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - -28)\/(10\/15). Suppose -9*j + 60 + c = 0. Let a be 4\/2*1*j\/11. Solve 0 = z + a + 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*h + 934 + 5533 = 23 for h.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l + l + l + 13. Let b be g(9). What is the first derivative of h**2 + b*h**2 - 3*h**2 - 2 wrt h?\nAnswer: 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 13 = 4*p. Let d = 27 + -19. What is the remainder when (-4)\/p + 1854\/63 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2. Let f(n) = 616*n**2 - n. What is f(b(w))?\nAnswer: 2464*w**4 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29\/2 - 14. Let k = -4 + 5. Let u = 0.6 - k. What is the closest to x in 2\/9, u, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 56*i + 466. Give u(-46).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3)*(v*v**(-1)\/v)\/v)**(-9\/2)*(v**1)**6*(v**2*v)\/v**(-4\/5) assuming v is positive.\nAnswer: v**(323\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**4\/6 - 16*p**3\/3 - 90*p**2. Let z(m) = -7*m + 64. Let r(b) = -11*w(b) - 6*z(b). Let g(n) = -3*n. Give r(g(l)).\nAnswer: 6*l - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 259 (b) -0.87 (c) -3 (d) -0.5 (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4054 divided by 10164.\nAnswer: 2027\/5082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42048976?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2, 6, 18, 34, 54, 78, 106?\n\"Answer: 2*s**2 + 2*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + 3*sqrt(88)*-4 + -3*sqrt(88)*2 + sqrt(88))\/(-1*(sqrt(1152) - (sqrt(1152) + -2*sqrt(1152)*-2))).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, k: 4, s: 2}. What is prob of sequence sk?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 2:27 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-276)*(5475\/300 + -17)\/((-25)\/(-6))\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 19 - -3 - -8) + -20.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 65. Let w be 139\/(-6) - (-22)\/132. Let y = w + z. What are the prime factors of y?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2 (b) 1213.32 (c) -4 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/7))**(-13\/5)*c**(-13)*c**(2\/11)\/c)**42 assuming c is positive.\nAnswer: c**(-33636\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 222977.734379 - 222978. Let s = -0.265 - z. Round s to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1479?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4173\/248 + -135\/8. Let w = 30403297\/310 - 98075. Let k = r - w. Is 1 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**4 - 1 + 1)*(1 + 25*m - 115*m - 20*m).\nAnswer: -110*m**5 + m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -516488 rounded to the nearest ten thousand?\nAnswer: -520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -142\/55 + 24\/11. What is the nearest to 0.1 in c, -21, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 102 and -0.127.\nAnswer: -12.954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 39220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - (9 - 1 - (-76 + 71)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 5:01 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13140292 by 3.\nAnswer: -13140292\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 61479 not equal to 61480?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**6\/180 + 4*f**3\/3 - 18*f**2. Let h(y) be the first derivative of t(y). Let k(w) = 27*w**2. What is h(k(g))?\nAnswer: -1458*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 702238.9ug?\nAnswer: 0.7022389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 6:15 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 181 + -186. Suppose 8*u = 3*u. Put g, u, -1 in increasing order.\nAnswer: g, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzsssezzzzzzzzzeezze. Give prob of picking 1 z and 3 e.\nAnswer: 52\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -5*m - 49, 0 = -3*z + 2*m - 0*m + 42. Calculate the greatest common divisor of 688 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70378 and 308.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11341526, -22683023, -34024520, -45366017, -56707514, -68049011?\nAnswer: -79390508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2368 and -0.3?\nAnswer: 710.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (105\/(-10))\/(-7)*(-1)\/6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 7*d - 6. Let q be h(6). Suppose 111 = -2*x + 5*x - 4*l, 0 = x - l - q. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 34569 to the nearest one thousand.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2 = 3*k. Suppose -24 = -2*u - k*u. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bde719 (base 16) to base 5.\nAnswer: -11141223330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 s when two letters picked without replacement from {z: 3, k: 6, s: 4}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 != -106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 93.97 + -94. What is the second biggest value in 0, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a meter in centimeters?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -86333698946.99999266 - -86333698237. Let k = -710 - p. Round k to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 135664, 0 in decreasing order.\nAnswer: 135664, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 i when four letters picked without replacement from fpiiipfifuufueufui?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 7. Let f be 0 + (-13)\/12 + 3\/m. Which is the biggest value? (a) -1 (b) f (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in 4\/3, -136, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8 - -7)\/(12\/(-9) - -1). Solve -h = b - 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/14 and (-122)\/(-4) - ((-1 - -3) + -3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -129082, -258170, -387244, -516304?\n\"Answer: 7*v**2 - 129109*v + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 644.33417 rounded to the nearest integer?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tffjqxmxt. Give prob of picking 2 t and 1 j.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 minus 0.1966?\nAnswer: -21.1966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3\/5)*f\/(f*f\/(f\/((f*f**(-1\/3))\/f))) assuming f is positive.\nAnswer: f**(-4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-32)*(-460)\/15)\/(12\/(-72))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ed when two letters picked without replacement from {c: 8, e: 4, d: 2, j: 4, p: 2}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2631 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-39)\/2*4\/(-3). Suppose -4*r = -2*r - t. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence szmn when four letters picked without replacement from {z: 1, n: 1, s: 2, m: 4, w: 1}?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 449 = -3*v + 475, 5*a = -2*v - 16 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + -1. Let p be -3*2\/l - 1. Solve 0 = -5*z + 20 - p for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - 195.8?\nAnswer: -195.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.462 plus -2?\nAnswer: -1.538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3*i = 2*i + 76, -3*p - 4*i = -58. Suppose -2*a = 16 - p. Sort a, 5, -7, -2 in descending order.\nAnswer: 5, a, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 33\/10 of a microgram?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*b**5 - 20*b**4 + 150*b**3 - 135*b**2 - 135*b + 162.\nAnswer: -(b + 1)*(b + 6)*(2*b - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 57347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 16 + 203. Let z(i) = n*i - 116*i - 120*i. Let u(c) = 2*c. Give u(z(k)).\nAnswer: -34*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 4 - 13 + 3*t + t**2 - 6 - 10 - 15 = 0?\nAnswer: -8, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (8 - 2) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28\/29 - -27\/58. Let n be (-2)\/42 - 4\/14. Which is the biggest value? (a) -0.19 (b) n (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: c (base 14) to base 15\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63149?\nAnswer: 63149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -143\/3 - -48. Suppose -2*h - 1 = -9. Let r be (-8)\/(-77) + 14\/(-49). What is the nearest to b in r, h, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4*w = -2764, 0 = -k + w + 647 + 750. Is 1386 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, s: 1, e: 2, k: 2, d: 1, y: 1}. What is prob of picking 1 e and 1 y?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*8232\/378 + 22.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + v - v)*(0*v + 0*v - 2*v) - v**3 - 2*v**3 + 5*v**3 + v**3 + 0*v**2 + 0*v**2 + (2*v - 4*v + v)*(-2*v**2 + 2*v**2 - 2*v**2).\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 2:26 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 673 by 560.\nAnswer: 673\/560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k*k**(1\/6))\/(k\/k**(-8))*(k*k*k**(-2)*k*k)**0)**(1\/40))**(2\/29) assuming k is positive.\nAnswer: k**(-7\/696)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18033 - 12823. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**2 - 3*g*t**3 + 15*g*t**2 + t**3 - 84*t**2 with respect to g.\nAnswer: -2*g - 3*t**3 + 15*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 561 + -366. Let s = 954 - n. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -45230?\nAnswer: -45235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - -2)\/(6\/4). Solve -t + 3*t = -c for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -87.9 to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8a (base 14) in base 13?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/1056 and -95\/316?\nAnswer: 83424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 64*l = -60*l - 76 + 7, 0 = -5*f - 4*l - 83 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2308668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 - 2*y**2 + 2*y**2)*(-2 + 5 - 4) + (4 - 3*y - 4)*((-1 - 2 + 1)*(0 + 0 - 2*y) + 2*y - 7*y + 2*y).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/36*-3*280\/(-2940).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -20, 30, 3 in descending order.\nAnswer: 30, 4, 3, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 126 - 87. Let l(h) = 3*h**2 - 6*h + 2. Let s be l(4). Calculate the greatest common divisor of t and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 6 = -p, 3*z + 2*p + p + 0*p = 24 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4689.384+-4458943\nAnswer: -4463632.384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4*(sqrt(4050)*-2 - sqrt(4050)))**2 + 2 + -1 + sqrt(4050) + -2*sqrt(4050) + -5.\nAnswer: -45*sqrt(2) + 583192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-189)\/(-7) + (-117 - -69)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -440a - 1484?\nAnswer: -5892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -460 divided by 4?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6587 rounded to the nearest 100?\nAnswer: -6600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**3 - 16*k**2 + 4*k**3 + 13*k**2.\nAnswer: k**3 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h. Let u(v) = 240*v**2 - 25. Let r(w) = 20*w**2 - 2. Let y(o) = -25*r(o) + 2*u(o). Give y(c(q)).\nAnswer: -20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(252)\/(-3*sqrt(12)))\/((2*sqrt(15))\/sqrt(5) - sqrt(3) - sqrt(216)\/sqrt(8)).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 703\/(-2223)*-9. What is the smallest value in 3\/2, h, -7\/6, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4718 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 395161?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 9*b - 3*l + 11 = 0, -19 = 3*b - 5*l for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 453*v = -452*v - 5, 4*s = 4*v for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w**2 - 3. Let z(b) = 3*b**2 + 2. Let s(d) = 2*x(d) + 3*z(d). Let l(n) = 19*n**2. What is l(s(p))?\nAnswer: 19*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -4*a - 25, 0 = -36*h + 38*h + 2*a + 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((24\/22)\/1)\/(-2). Let s = -0.06 - -0.06. Which is the nearest to s? (a) m (b) 1\/4 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -205 (b) 0 (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5*d + 26 = 0, 5*n + 10 = 4*n + 3*d. Let l = -1 - 2. Suppose 8 = -2*v - f + 1, v = 3*f - 7. Sort l, n, v in increasing order.\nAnswer: v, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 23012002?\nAnswer: -23012000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/3678260 and -117\/75404330.\nAnswer: 150808660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 26671047 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 3*t + 3, 3*t + 2*h - 23 + 29 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d - 9413 - 17059. Let l be 4\/(-20) + d\/(-10). Let x be 4\/6*l\/6. 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 b be (10\/(-4))\/((-295)\/(-118)). Put b, 28, 2\/5, 1, 2 in increasing order.\nAnswer: b, 2\/5, 1, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 104.463 (b) 0.4 (c) -0.2 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 46914765?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -233.6 * 41.26\nAnswer: -9638.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*n + 831 = -54*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 6*z + 3. Let o be w(2). Let y = 31 - o. Suppose 4*x - 349 + 41 = 0. What is the remainder when x is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 637 - 674 + 2412)*(0 - 6 + 12).\nAnswer: 6*d + 6606","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**3 + 29*h**2 + 12*h + 43. Let z be n(15). Which is the closest to z? (a) -5 (b) -4\/3 (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)*2 - sqrt(399)\/(sqrt(21)\/sqrt(3)))\/(-4*(sqrt(972) + (sqrt(972) - -2*sqrt(972)))\/sqrt(4)))**2.\nAnswer: 19\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/24 - (0 - 1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 379 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140\/(-34) - (-8 + (-1206)\/(-153)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v + 3 = 12 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 7:02 PM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 20 - (11 + 1317\/(-57))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*n - 71 - 34 = -37*n + 81*n for n.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 5 - (23 + -17).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.88134 rounded to 2 dps?\nAnswer: 27.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17540 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-17))**(-1\/38)*(g\/((g\/(g*g*g\/(g*g\/(g\/(g**27*g))*g)))\/g))\/g*g\/(g\/g**(-5\/6)) assuming g is positive.\nAnswer: g**(-1561\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(6897)*1)\/(sqrt(432)*-3*-3).\nAnswer: -11*sqrt(19)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*w = 16*w + 192 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -8*t + 15. Suppose 47 = t*l + 5. Calculate the lowest common multiple of 18 and l.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**5\/r**(-1))\/((r\/(r*r*r*(r\/r**(-1\/3))\/r))\/r*r*r*r)**(-5\/16) assuming r is positive.\nAnswer: r**(283\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2876500644 to the nearest integer?\nAnswer: 1422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + k + 4999 = 0, -41 = -5*k - 36. Is 125 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.04, -1\/9, -3.7, -0.1?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (33 + -41 + 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7117870.99999 - -7117776. Let c = y + 95. What is c rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2294855?\nAnswer: 5, 458971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5*t = 190, -3*t - 328 = 244*j - 246*j. Solve 166*o - j*o = -16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -2607, -3\/5, 4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 7*i**2 + 24*i - 53. Let r be q(9). Solve 5*g + 4*d + 28 = 0, -d = -r + 3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 - 5)*(41*t**4 - 5*t**4 - 9*t**4 - 12*t**2 - 29*t**4).\nAnswer: 16*t**4 + 96*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -7*s. Let n(t) be the first derivative of -t**3\/3 + 19*t - 256. Calculate n(d(w)).\nAnswer: -49*w**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-3)*-3*2382\/(-794)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-303)\/6*(-3)\/6 and -107\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*h**3 + 5*h**3 + 2*h - 9*h**3 - 8*h**3 in the form u + g*h**2 + z*h + x*h**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10918577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 837526640?\nAnswer: 2, 5, 10469083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 2*q**4\/11 - 6*q**3\/11 - 120*q**2\/11 + 736*q\/11 - 1152\/11 = 0.\nAnswer: -9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6526*l + 1428*l - 2082*l)*(0*l + l + l) + 0*l**2 + l**2 - 2*l**2 to s + t*l**2 + y*l and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(8\/5)*k*k**7\/k)\/((k\/k**(-6\/7))\/((k**(4\/5)*k)\/k*k)))**(3\/20) assuming k is positive.\nAnswer: k**(897\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -147*a + 290. What is p(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -272057, -544112, -816165, -1088216, -1360265, -1632312, -1904357?\nAnswer: -2176400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24176 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-30)\/u))**(-3\/7)\/(u*u**(1\/27)*u*u**13) assuming u is positive.\nAnswer: u**(-5434\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1940, 3928, 5948, 8000, 10084, 12200, 14348?\nAnswer: 16528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 323*v**3 - 157*v**3 - 155*v**3.\nAnswer: 11*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 234693*d**3*g + 11*d**3 + 2*d**2*g + 3252872*d*g wrt d?\nAnswer: 1408158*g + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 482415052*l**5 + 20802*l**2 + 10384*l.\nAnswer: 28944903120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5*k**3 + 1 + k - 4*k**2 + 0*k**2 - 2*k**3 + 2*k**2. Let h be d(2). Suppose -7 = -3*c - h. What is the third biggest value in 2, c, -4\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7541400 rounded to the nearest 100000?\nAnswer: 7500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1204*f + 19364 = -14348 for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -1.174\nAnswer: 0.1174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a millennium in centuries?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -8*a**5\/5 - a**4\/4 + 5*a**3\/6 + 32*a**2 - a. Find the second derivative of b(o) wrt o.\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n\/(n**1\/n))\/n*n))**(2\/69)\/(n**(-1\/4))**(-4\/5)*(n*n*n**(2\/3)*n*n)**(8\/5)*n**(-2\/5)*n**(1\/8) assuming n is positive.\nAnswer: n**(839\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/(-10))\/(-2*((-25)\/20)\/(-5)). What is the closest to n in 1\/5, -47, -7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4546.\nAnswer: 2, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m**12*m)\/m)\/m**(1\/17) assuming m is positive.\nAnswer: m**(220\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = o + 5*y - 1, o + y + 1 = 0. Suppose 185 = j + 165. Calculate the lowest common multiple of j and o\/4 + 23\/4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 630465 is divided by 811.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 350 and 148970?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -111 + 113. Solve 3*n = -h*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 323, 3\/4?\nAnswer: 323","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v - 5. Let n(q) = 332*q + 18. Calculate -3*g(r) - n(r).\nAnswer: -338*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4226 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(2\/27))\/y**(-8\/7)*y**(1\/7)\/y*y*y**(1\/13) assuming y is positive.\nAnswer: y**(5623\/2457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 676490000 rounded to the nearest 100000?\nAnswer: 676500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 6*b**3 + 125*b**2 - 26*b + 9. What is the remainder when p(-21) is divided by 42?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 13)\/(13\/((-130)\/3)). Suppose h - q = -3*t, -2*h + 46 = 2*t + t. What is the least common multiple of t and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_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: Find the common denominator of -17\/108 and -121\/270.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 464*s - 467*s + 419*s**2 + 349*s**2.\nAnswer: 768*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*t - 34*t - 17*t - 39*t.\nAnswer: 31*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)*-6)\/(sqrt(14)\/(sqrt(7) - (sqrt(7)*1 - sqrt(7))))*3.\nAnswer: -72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 48 = 5*o, 43*f - 30 = -4*o + 42*f. Let k(q) be the first derivative of o*q**2 - 11 - 32\/3*q**3 - 4\/3*q + 16\/3*q**4. Factor k(h).\nAnswer: 4*(h - 1)*(4*h - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -13*v**2 + 17*v - 6. Let u(w) = -w**2 + 2*w - 1. What is k(j) - 6*u(j)?\nAnswer: -7*j**2 + 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + m - 57923 = 0, -16*m + 18 = -10*m. Calculate the highest common divisor of f and 256.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -568794 - -68?\nAnswer: -568728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-10))\/(6\/15). Let c be ((-10)\/5 - -10)*2\/4. Suppose c*r - 6*y + 16 = -2*y, y = -4*r - 21. Which is smaller: r or f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*w + 132 = 2*z, 166*z - 163*z - 46 = -5*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.565832 to one dp.\nAnswer: 13.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t. Let b(c) = 892780*c. Give x(b(h)).\nAnswer: 2678340*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3 + 3 + b**2 - 6. Let s be t(-3). Suppose s*n = 8*n + 94. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (68 + 0*v - 2*v - 54)*(4 - 2 - 5)*(0 + 7 - 1)*(4*v + v - 2*v) in the form m*v + q*v**2 + x and give q.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, 88, 239, 390, 541?\nAnswer: 692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34689, -34830, -34965, -35094?\nAnswer: -35217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -435032 (base 6) to base 14.\nAnswer: -d220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*x = 3, 0 = -4*i - 4*x - x + 21. Calculate the lowest common multiple of i and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5120\/(-8))\/((-4)\/(-18750)). What is n rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -466 + 467.99. Let t = 2 - s. Let j = t - -0.002. What is j rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50 - 36. Let k(y) = y**2 - 2*y - 21. Let r be k(6). Suppose h - r*h = -a. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 7 = 13. Solve -9 = v - w*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h - 17. Let j(k) = -3*k + 50. Let w(g) = 4*j(g) + 11*v(g). Let s be w(11). Solve o = -p - 5, s*o - 3*p - 7 + 2 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/37, -3\/16, 2\/17, 1, 0, -3\/5 in descending order.\nAnswer: 1, 2\/17, 0, -1\/37, -3\/16, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29 and 5191.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 11*y + 12. Suppose 0 = 95*z - 91*z - 1024. Suppose -262*i + z*i = -60. Determine h(i).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -645 + 743. Solve q - 26 = 12*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 55.02904 to two dps.\nAnswer: 55.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*r**3 - r**3 + 0*r**3)*(-2*r + 1 - 1) + r**4 - 5*r**4 + 5*r**4 - 39*r**4 + 431*r - 431*r)*(-136 + 95 + 102).\nAnswer: -2196*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 8*q**2 - 6*q. Let l be d(-7). Let m(x) = x + 16. Let g be m(l). What are the prime factors of (-2)\/g + (-2992)\/(-18)?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 1079 = 4*p - 5*o + 1092, -4*p - 54 = -6*o for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 461836\/27 - 17107. Find the common denominator of -43\/36 and j.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -724 = 20*o - 21*o + 2*a, 4*o - 2*a - 2944 = 0. Solve -o*z - 64 = -732*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - (-1 - (3 - 1)). Suppose -1 = 2*t + 3*g, -t - 4*g = 8 - x. What is the highest common factor of 40 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(25\/5) - -7. Suppose -x*r = 3*r - 220. Suppose -141 = -5*b + 279. Calculate the remainder when b is divided by r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59)\/((4\/((-32)\/2))\/((132\/12)\/44))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19695.35um in nanometers?\nAnswer: 19695350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/150 and -75\/188.\nAnswer: 14100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/10*249*(-6)\/9. Suppose 0 = 4*i - 3*i - 2*c - 78, i = 3*c + o. What is the remainder when i is divided by 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00977 rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.1833 + 0.1833. Let t = -14 + 8. Let d = 6.1 + t. Sort x, -8, d in decreasing order.\nAnswer: d, x, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221698837.\nAnswer: 1091, 203207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-7))\/(42\/147)*(-224)\/(-21).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 less than -6751701.2?\nAnswer: -6751787.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -8 + (-8 - 15) + 20?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 76*k**2 + 1429*k - 1502. Determine d(30).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 54, -1, 5, -9 in decreasing order.\nAnswer: 54, 5, 4, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -28 + 8. Suppose -a*t + t + 258 = 0. Is 30 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/(-15))\/(1\/(-15)). Let m(v) = 18 - 6*v + k*v - 5*v - 4*v + v**2. Let p be m(8). Solve -2*s - 2 + 3 = j, 3*s = -p*j + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*v - 140737 = -0*v - 139385 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4, -4*o - 5*s - 4 = -6*o. Suppose -o*w - 5 = 19. Let d = 3 - 1. What is the fourth biggest value in d, 3, 6, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + g - 6, -5 = 5*q + g - 31. Let w = 0 - 0.1. Which is the smallest value? (a) w (b) -2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 527809956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -2, 13, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21425443 - 241?\nAnswer: 21425202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.763537mm in centimeters?\nAnswer: 0.2763537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*(d**(-7\/6)\/d)\/d*d\/(d*((d\/(d\/(d\/d**4)))\/d)\/d)*(d*d**(-15\/7)*d)\/d**(1\/14) assuming d is positive.\nAnswer: d**(55\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15723641861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 1 + 5)*(0 - 2*n + 0)*(6*n**3 + 12 - 12 + 0*n**3 + 0*n**3 + n**3 + (5 - n**3 - 5)*(3 - 5 + 1)) as i*n**4 + y*n**2 + j*n**3 + q*n + m and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83894.18 micrograms to tonnes.\nAnswer: 0.00000008389418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.9665 - -19.4465. Let i = -22.5 + a. Which is greater: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.181516276 rounded to 5 decimal places?\nAnswer: -0.18152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -86 - -88. What is the nearest to -18 in i, -1\/4, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.668185 rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16051 is divided by 893.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 220211222212?\nAnswer: 220212000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dcc when three letters picked without replacement from {d: 17, c: 3}?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 70712 a multiple of 296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -571 divided by -5\nAnswer: 571\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-5)*1*(-2 - 3). Let w be 4\/(16\/132)*f\/12. Solve 2*t - 5*h - w = t, 4*t + 5*h = -12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 316 = z, 27*n = -4*z + 32*n + 1341. Calculate the remainder when z is divided by 83.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h**3 + h - 1. Let j = -439 + 298. Let g be 376\/j*3\/(-4). Let d(v) = -v + v**3 + 0*v**3 - 4 + 5. What is g*d(o) + 2*n(o)?\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -7*o + 29. Let b be z(4). Let w(g) = -g. Let n(l) = -6*l. Let s(c) = b*n(c) - 4*w(c). Let k(u) = 37*u + 1. Give s(k(j)).\nAnswer: -74*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2376899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 78?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 6)*1\/6. Let t = 7913\/95 - 417\/5. What is the smallest value in v, 1\/10, t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -4*(-12)\/26.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 8*k**3 - 4*k**2 - 17. Let l(q) = 2*q**3 - q**2 - 4. Suppose -1 - 9 = 5*w. Calculate w*p(f) + 9*l(f).\nAnswer: 2*f**3 - f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 13*w + 24. Let m be d(-11). Let f(c) = 5*c + 2. Let a be f(-1). Let q be a\/(-2 - -1) + 3. Calculate the greatest common divisor of q and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (175\/(-140))\/(1\/4) - -1276850. Let t be (-60)\/80 - (3 - r\/12). What is t rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 383, 3096, 10455, 24782, 48399, 83628?\n\"Answer: 387*t**3 + t**2 + t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**3 - 10*o**2 + 26*o - 37. Let p be d(-9). Solve -p = 7*k - 349 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(336)*2)\/sqrt(7))*3.\nAnswer: -6 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 699 = -163. Solve -2*j - 7 = g, 5*g - 155 + p = 4*j for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2502 smaller than -2502?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0022987 to four decimal places.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(468)\/sqrt(9))\/sqrt(2))\/sqrt(2))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1543, -158, -2.\nAnswer: -158, -2, 1, 1543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -3*s + 52 - 34, 0 = -2*y - 3*s + 13 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 + -3 + (17 - 4). Suppose -l + 4*y + 131 = 30, -s*y = 3*l - 319. What is the remainder when l is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47248, -189033, -425338, -756157, -1181484?\nAnswer: -1701313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1604551 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**5\/60 - 3*k**4\/4 + 61*k**3\/6 + 29*k**2 + 2*k. Let h be i(13). Put h, 0, -191 in descending order.\nAnswer: 0, h, -191","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5979*q. Let j(w) = 1060*w**2 - w. What is l(j(s))?\nAnswer: -6337740*s**2 + 5979*s","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n, -3 = -q - 0*n - 3*n. Let z(a) = 2*a + 5. Let v be z(4). What is the smallest common multiple of q and 0 + -1 + v + -4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 0 - ((-3 - (-9 - -35)) + -21)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 80.7 and 37.\nAnswer: 117.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-15)\/(l**(-1\/3)\/l*l)*l**(1\/4)*l\/((l**1\/l)\/l) assuming l is positive.\nAnswer: l**(-149\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40911, -81830, -122755, -163686?\nAnswer: -204623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2011102222 (base 3) in base 10?\nAnswer: -42605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o + 36. What is the remainder when 92 is divided by y(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 5*a**2 + 14*a - 1. Let n be r(7). Is n equal to -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2508 take away 187056697?\nAnswer: -187059205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 7 + -1 - (23 - (-33 + 23)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*m + 10496 = 0, -5*z + 9921 + 572 = -m. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/16)\/((-26151)\/(-6064))\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/666 and -13\/18722.\nAnswer: 168498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/6*168\/231.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -230 - -286. Suppose -5*n + 76 = c. Solve 0 = -5*q + n*q + 3*f - 14, -17 = q - 4*f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 731445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t - 3*t**2 + t - 2 + (6*t + 6*t - 4*t)*(3 - 3 - t) to s + f*t**2 + q*t and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kakkakkkkararkakkkk. What is prob of picking 1 k and 1 r?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1662 (base 8) to base 3\nAnswer: -1022001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 43116?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1038732693 to the nearest integer?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 18\/5 of a tonne?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 11*d + 4. Let b be j(11). Suppose b*w + 0*c - 1710 = 5*c, -2*w + 868 = 4*c. Round w to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + w + 12. Find the second derivative of -3*l - 5 + w*l**3 + 5 - 7*l**3 wrt l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1 (b) 2\/5 (c) 5\/4 (d) -260\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1110496 and 3232.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**4 - 27*x**3 + 15*x**2 + 279*x - 270 = 0. Calculate x.\nAnswer: -3, 1, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 15) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 111010011010011111?\nAnswer: -111010011010100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/1 - 0) + (-149855)\/3485?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 2. Suppose 40 = 8*z - 0*z. Suppose 0 = 3*r - 3 - 33. Solve -r = -z*x + 5*m + 18, 13 = t*x - 2*m for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 922*s**4 - 18*s + 653249 wrt s?\nAnswer: 3688*s**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 6*q**2 + 21*q + 13. Let h be s(-4). Let x(r) = 8*r - 201. Determine x(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 - -24?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n - 2*g - 2 + 6, 1 = -n + g for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uysyyyyqswtwqyq. Give prob of sequence ty.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -3*u**2\/5 + 21*u - 648\/5 = 0.\nAnswer: 8, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.586 - 0.786. Put 1\/7, h, 2, -4 in increasing order.\nAnswer: -4, h, 1\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zydvwwawwww. Give prob of picking 1 d and 1 y.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-6*((sqrt(891) - (sqrt(891) + 1)) + 1)*-4 + -1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90623123 and 291.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qhqqbkqbqbbqqxhqqh. What is prob of picking 1 x and 2 h?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - (22 - 2)) + 236\/58.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.88 - 0.78. Let g = 5.4 - 0.4. Which is the nearest to o? (a) -4 (b) -1\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1144 - 20?\nAnswer: -1214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -40*b + 43*b. Let x = b + 11. Solve k - 12 = x*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvoohhooohoooh. What is prob of sequence oov?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 13*h - 7. What are the prime factors of i(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**6\/120 + 7*k**5\/60 - k**4\/24 + 4*k**3\/3 + 2*k**2 - 17. Give s(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3570 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 124775 - 125284.895. Let m = 251.724 + h. Let i = m + 258. Round i to 2 decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.5, 3, -4\/5 in ascending order.\nAnswer: -4\/5, 3, 5.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -103*r**2\/2 + 3. Is h(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + ((-9 - (1 + -2)) + 14 - 37)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0.3, 2.\nAnswer: -8, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 71 + -68. Let t = -14 - -27. What is the remainder when t is divided by 4 + a + (-2 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 438766 is divided by 141.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = t - 4*r - 18, -2*t + r = -62. Suppose t = -2*o + 112. Let i = 35\/24 - -111\/8. Calculate the common denominator of o and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (164\/(-205))\/((2 - (-3942)\/495) + -10)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3676*d + 3692*d - 515 - 173 = 0 for d.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370259.\nAnswer: 37, 10007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v\/(v\/v**(2\/5))))\/v**(-2\/25)*(v\/v**3)\/v**(-3\/8))\/((v\/v**(4\/5)*v**(-2)*v)\/(v**(2\/7))**14) assuming v is positive.\nAnswer: v**(971\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 7*y + 65. Let u be m(6). Let g(n) = -n**3 - 12*n**2 + 15*n + 17. Calculate g(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*p + 16*p + 174*p + 261*p - 29*p.\nAnswer: 492*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72705 divided by -111.\nAnswer: -655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qjjzzqzzqzzzzjzq. Give prob of sequence qjz.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-9))\/((-2)\/(-96)*4) + 3. Sort -3, 13, 4, -5, j.\nAnswer: -5, -3, j, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-26)*y*y**(-6\/13)*y*y**(-3\/35)\/y*y**(1\/5) assuming y is positive.\nAnswer: y**(-11533\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 1007, 8, -5, 5, -4, -3.\nAnswer: -5, -4, -3, 5, 8, 10, 1007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - (-5 - 0)) + -2. Let q be (-15)\/((-75)\/(-40))*(u + -1). Suppose -2 = -i - 6. Are i and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.1 - 5. Let d = n - -0.4. Do d and -1\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13101977 or -13101998?\nAnswer: -13101998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 7:33 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p - 77 + 641 = 42*p - 7*p for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y - 1. Let c be s(-4). What is the biggest value in -0.5, -2\/3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 998425 divided by -5?\nAnswer: -199685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 464083328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*x = -34, -3*n + x = n - 17. Let l = -1 - -14. Suppose 2*o + 5 = l. Solve 0 = o*i - n - 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-4*4\/(-4)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 17*r**2 - 4*r. Let f(m) = m**2. Calculate f(c(j)).\nAnswer: 289*j**4 - 136*j**3 + 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (204*p + 4592 + 782*p - 4592)*(5*p + p - 5*p)*(2 - 2 - 3) to the form g*p**2 + d + i*p and give g.\nAnswer: -2958","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55\/119 - 3\/17. Let s = 6869\/5 - 1374. Put t, 0.4, s in descending order.\nAnswer: 0.4, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**4\/4 + i**3\/3 - 3*i**2\/2 + 43*i. Let o be y(-2). Suppose g = -4 - 4. Sort o, g, -1 in descending order.\nAnswer: o, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1554 - 811. Suppose -2*t + 219 + f = 4*r, -5*t + 2357 = -2*r. What are the prime factors of t?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 540 (base 16) to base 8\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5, 21, 37, 53, 69, 85?\n\"Answer: 16*u - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -178 - -2316\/13. Let i be 3\/7*((-2)\/(-6) - 1). What is the smallest value in a, 9, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 - -61. Suppose -129*u + 13560 = -20603 + 9653. Calculate the remainder when u is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 6) to base 7.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.76 - 138.24. Let k = v - -138. What is the biggest value in k, 40, -0.3, -4\/7?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -117 at least -0.046?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22008, -43840, -65654, -87444, -109204?\nAnswer: -130928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millisecond in nanoseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13522 (base 6) in base 9?\nAnswer: -2835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1124 + 2406. Suppose -137 = -5*z - x. Let p = -120 - z. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3348 greater than -3359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llmmmmmmmmlmmlml. What is prob of picking 1 l and 1 m?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*q**4\/5 + 432*q**3\/5 - 756*q**2\/5 + 216*q\/5 = 0 for q.\nAnswer: 0, 6\/17, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i - 7. Let s be g(9). What are the prime factors of 81\/6*1*s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 + 9 = -8*a. Calculate the lowest common multiple of a and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51 + -106. Let g = -33 - c. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 + 96. Suppose 4*c = 4*t - 1320, 0 = -t + 3*c + o + 282. List the prime factors of t.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(7)*-3*4 + 2)*-1*-3.\nAnswer: -108*sqrt(7) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*l - 5*l + 3 = 4*l - 12, -l = -99*v - 393 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 605537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*w - 99*w**2 - 44465*w**5 + 3*w**4 + 44470*w**5 + 4*w wrt w.\nAnswer: 300*w**2 + 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*r**2)*(0*r + 2*r + r) - r**3 + 2*r + 0*r**3 - 3*r + (-1 - 2 + 1)*(r**3 - 2*r**3 - 3*r**3) to the form y*r + g*r**2 + x + j*r**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 184.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 1 + 0 + 1 + 1 + (-1 + 1 - 2)*(4 - 3 + 1))*(0*y + 5*y - 3*y) + 22*y + 16 - 16 + (y - 4 + 4)*(-2 + 2 + 1).\nAnswer: 21*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 31\/5 of a centimeter?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 94297753 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 5*g**2 + 2*g - 7. What is the units digit of y(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v**2 - v**2 - 2*v**2 + 2*v**2 + v**2 - 2*v**2 + (-v + 3*v + 0*v)*(0*v + 5*v - 2*v) - 2 + 2 + 12*v**2 to k + h*v + f*v**2 and give f.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-3 - (-1111)\/371) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-30)\/4)*680\/(-1224).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/2 and 103\/1650.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-1 - -1) - (-13 + 5 + -19)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -450 - -51004?\nAnswer: 50554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.78*0.1422593.\nAnswer: 0.110962254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n. Let k(v) be the first derivative of -10*v**2 + 9. Let o(x) = 24*h(x) - k(x). Let r(q) be the third derivative of q**5\/60 + q**2. Give r(o(b)).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1622\/6045 + -2\/1209. Factor i*s + 0 + 2\/15*s**2.\nAnswer: 2*s*(s + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -x**4\/12 - x**3\/3 - 2*x. Let j be d(-2). Find the first derivative of 2*a**2 + j - 1 - 3*a**2 wrt a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 3*w + 1 = -u, w = u - 7. Let s = u - 9. What is the units digit of 1\/(s*3\/258)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -168*n + 8. Let i(k) = 252*k - 13. Determine 8*d(y) + 5*i(y).\nAnswer: -84*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65\/2 - 32. Is h not equal to 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 58*k - 103. Let a(c) = 3*c - 2. Let o(u) = a(u) - j(u). What is the hundreds digit of o(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111258 is divided by 67.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -2. Suppose 4 = 4*u - k*u. Let p = -126 - -127. Calculate the highest common divisor of u and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 925245808 to the nearest integer?\nAnswer: 30418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 - 6*l - 3. What is z(7)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + -5 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2234 - -8305?\nAnswer: 6061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16899*g**3*h**3 + 2*g**3*h**2 + 2*g**3*h + 3*g*h - 510*h**2 wrt h.\nAnswer: -101394*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.5, 1.2, -476, -17 in descending order.\nAnswer: 4, 1.2, -0.5, -17, -476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(70\/15) - 25675\/(-210). Which is smaller: 121 or r?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 57.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/1285046 and 31\/1125623.\nAnswer: 299415718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 194925 or 5\/163?\nAnswer: 5\/163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 7. What is the second smallest value in 5, f, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -117 (b) 1\/3 (c) -0.4 (d) 2\/7 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 5\/7 (c) 3 (d) 8.9821\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000453047 to six decimal places.\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*(((v*v**(-1)*v)\/v)\/v)\/v))**(-1\/3)*(v**(-2\/3))**(-29) assuming v is positive.\nAnswer: v**(56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2622 - 2655) + (9 - (2 + -4))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35029522?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 510678.7 millennia to months.\nAnswer: 6128144400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4871158 is divided by 1458?\nAnswer: 1438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-14) - (-432)\/(-224))*(-416)\/1976?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 40 + 44. Let x = d - -52. What is the remainder when x is divided by -3*(0 + -1 + -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -101*h - 3526. Let i be b(-35). Solve -5*l = -i*p + 7*p + 6, -l - 4*p + 12 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 561, 2080, 5115, 10170, 17749, 28356?\nAnswer: 42495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 7*l - 5*g - 61, -29 = -2*l + 3*g. Let o(m) = m**3 - 2*m**2 - m - 1. Let y be o(4). Let s = y - l. Is 4 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192 and 25408.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - r**2 + 3. Let k be o(0). Find the third derivative of -2*c**2 - 6*c**2 + 13*c**3 + 5*c**k wrt c.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - -2)\/((-1)\/179). Let t = n - 110. List the prime factors of t.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1854)\/(-21) + (-2)\/7. Let p be (-62 - -53) + 2*10. What is the highest common divisor of p and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/3)\/(12\/(-6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0 + (-1 - 3 + 2)*(-45 + 24 + 19))*(5*p + 0*p - 3*p).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ubuu when four letters picked without replacement from {b: 3, u: 4, v: 6}.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a kilometer in meters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 7:34 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002186778382 rounded to seven dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5184844 is divided by 33?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29646*l - 29713*l + 1541 for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 9 = -3*h. Suppose 5*k + h*o = 46, -2*o - o = k - 2. Let v = k - 10. What is the least common multiple of 3 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -1, -14, 2, -3, -2 in decreasing order.\nAnswer: 21, 2, -1, -2, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 302, 376, 456, 506, 490, 372?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a. Let t(q) be the first derivative of -q**5\/20 + 15*q**2\/2 + 6. Let k(c) be the second derivative of t(c). Calculate p(k(x)).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4306*l - 22508. Give y(5).\nAnswer: -978","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10107.\nAnswer: 3, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 42 = 2*y. Let p be ((-1)\/(-2))\/(3\/y). Suppose -3*c + 71 = 4*b, -3*c - c + 80 = -2*b. Solve 0 = -2*g + p*x + c, -4*g + x - 3 = -0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.107604269 to 5 decimal places.\nAnswer: -0.1076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(648))\/(-2*(sqrt(9) + sqrt(81))).\nAnswer: -3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/4 - 11\/44. Suppose -31 = -5*s - 4*t, -5*s + 11 = -g*t - t. Find the common denominator of -31\/15 and 5\/(120\/81)*s.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, g: 1, y: 10, n: 2}. Give prob of picking 2 n, 1 p, and 1 y.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j - 9. Let h be f(9). Let x(c) be the first derivative of 1 + 1\/12*c**3 + h*c - 1\/20*c**5 + 1\/8*c**2 - 1\/16*c**4. What is z in x(z) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-8\/9)*x)**(2\/7) assuming x is positive.\nAnswer: x**(2\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of 5*w**3\/3 + 33*w. Let v(g) = 2*g**2 + 4*g**2 - 4*g**2. Give h(v(i)).\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220224604?\nAnswer: 2, 127, 433513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 30 = -126. Let k be ((-32)\/y)\/(4\/6). What is the units digit of (12\/k)\/(0 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -15*u**2 + 205*u + 300 = 0?\nAnswer: -4\/3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (8 - 0 - 0). Find the second derivative of 4*i - i - i - 6*i**k wrt i.\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g = 807 - 835. Let m(k) be the second derivative of k**3\/3 + k**2 + k. Calculate m(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - 1020?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119233234 is divided by 99.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 520 - 472. Calculate the highest common divisor of a and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 155*i**2 - 256*i + 15. Is d(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 15*f**3 + 3*f**2 - 4*f - 2. Suppose 0 = -107*a + 70*a + 111. Let d(l) = 31*l**3 + 5*l**2 - 7*l - 3. Determine a*d(k) - 5*q(k).\nAnswer: 18*k**3 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -6. Suppose 0 = -v*k - 5 + 21. Suppose -4*x + 4 + k = 0. Solve c + 5 = x*t + 4, 0 = -c + 2*t + 1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -97 + 245. Let o be 4*(k\/8 - 0). Suppose -3*v + o - 2 = 0. Does 4 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(7920) + -5*sqrt(7920)*3)\/(3*(sqrt(11) + sqrt(11) + sqrt(22)\/sqrt(98)))*2.\nAnswer: -784*sqrt(5)\/15 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/4)\/((-2)\/12*(-92)\/23)?\nAnswer: 39\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a + -127644?\nAnswer: -127636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 625 and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -518694, -1037403, -1556110, -2074815, -2593518, -3112219?\n\"Answer: m**2 - 518712*m + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/9)*z**(-3\/4))\/(z**(1\/7)*z**1))**24 assuming z is positive.\nAnswer: z**(-1066\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, b: 4, j: 4}. What is prob of picking 1 b and 1 j?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 + 82 = 2*k. Calculate the highest common factor of k and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 45 = -5*n, 0 = m - 4*n + 5*n + 15. Let l = m - -17. Solve l*t = -2 - 8 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000731276 rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y. Determine k(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/483, 1\/33, -0.1, -2\/15, -5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 417 divided by 4?\nAnswer: 417\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16556 + -16324. What is the greatest common divisor of n and 1653?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38337812?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8214700 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 50.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-288)\/2*(52\/(-12))\/13. What is the highest common factor of i and 1128?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2406 - 2390 - (14 + -3 + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - l**2 + 1. Let c be x(-1). Let s(t) = 3*t + 2. Let o(h) = -h - 1. Let z(y) = c*s(y) - 2*o(y). Let d(a) = 2*a**2. What is d(z(v))?\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g**2 - g + 0*g**2 + 0*g**2 + 2*g**2. Let b(n) = 4*n**2 + n + 1. Let a be b(-1). Suppose 4*m + m - 10 = -a*l, -7 = -4*m - 3*l. Calculate s(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in 2\/23, -3, 2, 0.25?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, t: 1, f: 5, p: 6}. Give prob of picking 1 p, 1 t, and 2 f.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 8*u**2 - 14*u - 17. What is the remainder when v(-8) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*a + a + 3*a + (0 - 8 + 1)*(3 - a - 3) - 22*a + 5*a - 33*a + 7 - 7 + a.\nAnswer: -44*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -6*l**2 - 5 + 3*l**2 - 2 + 4. Let y(z) = -6*z**2 - z - 6. Suppose -14 = -5*t + 16. Let f(n) = t*y(n) - 11*p(n). Let f(k) = 0. Calculate k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 7*m - 2. Let o be d(7). Let g be (5\/10)\/(o\/(-20)). Solve g*k - 2*l - 5 = -3*l, -20 = k - 4*l for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-2))\/k**(-8)*k**(-2\/15)\/(k*k*k**(-4\/3)) assuming k is positive.\nAnswer: k**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -286123 and -0.4.\nAnswer: 114449.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 14) to base 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6326.714ng to kilograms.\nAnswer: 0.000000006326714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 + -0.35. Let i = -1.95 + d. Sort i, 0.2, -1\/2 in descending order.\nAnswer: 0.2, -1\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.560585 rounded to two dps?\nAnswer: 1.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-175)\/(-10) + 5\/2. Let b be 84\/20 + -4 - 4\/n. Solve -3 + b = -l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 1767*m + 15914. Give y(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/5 (b) 1\/9 (c) 0.4 (d) 21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/7)\/((-24)\/112) + -2. List the prime factors of -1 + -5 + y + 105.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 19. Suppose -5*w + 8*w = 81. Let a = 22 - w. Is z smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(10)*-1)\/sqrt(2)*-6.\nAnswer: -30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -6*x. Let h(g) = 168*g**2. Give h(o(s)).\nAnswer: 6048*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5435182 times -60\nAnswer: 326110920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h**2 + 2*h + 5. Let r(b) = -7*b**2 + 3*b + 11. Let m(i) = 5*j(i) - 3*r(i). Does 18 divide m(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-11600)\/3)\/((-14)\/6300). Suppose -w - h = w. Round w to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 2 = -2*a. Suppose -4*c = k + 10, -3*k = 4*c + 5 + a. Let h(o) = -o**2 + o - 6. Let f(y) = -1. Suppose -2*j = -3*j - 14. Give j*f(x) + k*h(x).\nAnswer: -2*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3926490 by -170.\nAnswer: -23097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -3\/16*n**4 - 2*n**2 + 30*n + n**3 + 1\/80*n**5 + 0. Factor b(c).\nAnswer: (c - 4)**2*(c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**5\/2 + 35521*g**4\/2 + 315062179*g**3\/2 - 6627712429*g**2\/2 + 18944810092*g - 32844077864 = 0. Calculate g.\nAnswer: -17771, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) -49.2 (b) -3 (c) 239\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 10:53 PM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7274 - 7271. What is the fourth biggest value in b, 1, 2\/17, 2\/7, -2\/61?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (-6 - -33) - -18.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 81 - 78. Let o(m) = 6*m + 3. Give o(h).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5*(sqrt(2057) + 0) + 2)**2 + -3.\nAnswer: -660*sqrt(17) + 51458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(300) + 2.\nAnswer: 7 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3775652?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(1\/4)*(w*w*w*w*w**9)\/w*w)\/((w*w**(-3)*w*w)\/(w**(-2\/5)*w)))**(-44))**(2\/39) assuming w is positive.\nAnswer: w**(-6094\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9a0c0043 - 4?\nAnswer: 9a0c003c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(16\/(-17)))\/((-8)\/(-8)). Let j = z + 191\/56. Factor -3\/7*c**4 + j*c**3 + 3\/7*c + 0 - 9\/7*c**2.\nAnswer: -3*c*(c - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 + 1 = 11*o. Let z be o\/(-6) + 56\/40. Is 2 <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - c + 1. Let w(h) = 3*h**2 + 4*h - 9. Let q = -1700 + 1699. Let j be (-30)\/7 + (-14)\/(-49). What is j*a(p) + q*w(p)?\nAnswer: p**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -122 and 109961.\nAnswer: -13415242","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 3*v**2 + 3*v + 3. Let d be i(3). Is d smaller than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 11:43 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(36\/176)*(20\/16)\/5\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/2 + 15246*z - 65293290.\nAnswer: 3*(z - 3246)*(z + 13410)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -987 divided by -329\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-3) - (-22)\/6. Suppose -3*x = -0*x - o - 75, o - 50 = -2*x. Suppose s*m = x - 5. Solve h = w - 0*w - 7, -25 = 3*h - m*w for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3467334 (base 11) to base 15.\nAnswer: 7e9785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(1216)*1)**2.\nAnswer: -64*sqrt(19) + 1232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 85281919*d**3*f**3 - 3*d**2*f**3 - 2*d**2 - 80*d*f**2 - 67*d + 6 wrt d.\nAnswer: 511691514*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + z - 5, -3*p + 5*p = z - 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -160 - -2?\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 179298918 by 19922102.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g = 14*g - 622. Suppose 13*t + g = 1806. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -688.66 - -681. Let h = 0.34 - g. Let q = 7.5 - h. Which is the nearest to 0.1? (a) 0.5 (b) 0.3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.61 minus -126?\nAnswer: 131.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4 + 3*p + 4. Let k(f) = -4*f - 3. Let a(g) = -5*g - 4. Let s(n) = 3*a(n) - 4*k(n). Calculate s(l(j)).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 22 - -33c3d0?\nAnswer: 33c412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -8*i. Let p(x) = 39*x. Let r(v) = -5*p(v) - 24*t(v). Let y(q) = q. Let z(j) = 4*r(j) + 14*y(j). Let u(h) = -3*h**2. What is u(z(s))?\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - -1. Let d = -1998 - -1998.1. Suppose 9*t = 2*t + 14. Which is the nearest to t? (a) q (b) d (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -281 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*o + 60*o + 65*o + 49*o)*((-3 + 4 + 1)*(-7*o + 3*o - 6*o) + 4*o - 2*o + o).\nAnswer: -3264*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13 (b) -0.14 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 2*r**2 - r - 2. Let a(n) = 40*n**3 + 13*n**2 + 7*n + 1. Determine -a(i) - 6*z(i).\nAnswer: -34*i**3 - i**2 - i + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 5*m - 9*m. Let t(o) = 2*o + 3*o**2 + 4 + 7*o**3 + 0*o + 0 - 2*o**3 - 5*o. Let d(k) = -k**3 - k**2 - 1. What is m*d(r) + t(r)?\nAnswer: r**3 - r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 68549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 - n**3 + 0*n**2)*(498177*n - 692*n**2 - 7*n**2 - 498179*n).\nAnswer: 699*n**5 + 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23159.2 years to months.\nAnswer: 277910.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3646.3481 + -3649. Round c to 1 dp.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 28. Let n = 71 + -43. Let v = n - 23. Solve -v = 2*r - b for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0033731 rounded to five decimal places?\nAnswer: 0.00337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(-39)*z**(-17)\/z assuming z is positive.\nAnswer: z**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4505 - 2822. List the prime factors of u.\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -145*j**2 - 31*j - 15. Let u(t) = -73*t**2 - 15*t - 7. Let z(v) = 6*p(v) - 13*u(v). What are the prime factors of z(-2)?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9331 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 16*c**2 + 27*c + 622. Give g(-10).\nAnswer: 952","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42088609 + 926497027\/22. Let i = n - 24897. Calculate the common denominator of 113\/516 and i.\nAnswer: 5676","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*a = 0. Suppose 3*j = -a + 3. Suppose 3*o + j = 34. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*a - 18 = -144*a for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128082 = -148*a - 124678 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 1:23 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18977 and 42.\nAnswer: 113862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31 and 8524380?\nAnswer: 8524380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -193058 + 1351442\/7. Factor 0 + 0*z + 120\/7*z**3 + o*z**2 - 3*z**4.\nAnswer: -3*z**2*(z - 6)*(7*z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 152 + -423. Let p = -172 - a. What is p rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.79891 nanograms to kilograms.\nAnswer: 0.00000000009479891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1953, -2237, -2711, -3375?\nAnswer: -4229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 213475.7 to the nearest one hundred.\nAnswer: 213500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -8*p + 13*p - 7, 2*q - 4*p + 14 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3103\/172 - -34\/43. Find the common denominator of d and (1 + 14\/(-16))*34.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -179*r - 3723. Let u be y(-21). Solve -34 = -s + 31*d - u*d, -s + 28 = 4*d for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 185322*l*n**2 - l*n + 2*l + 10289*n wrt n.\nAnswer: 370644*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*k + 2988 = -579 for k.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 - -2121320033011?\nAnswer: 2121320032331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*q - 9, -4*x + 74*q - 78*q = -8. Sort 4, 5, x, -2 in decreasing order.\nAnswer: 5, 4, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from vffmimfkkfm.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 63 = -5*d + 72, 2*z = -2*d + 54. Suppose -2*v + 3*v = -d. What is the smallest common multiple of v\/(-6)*(-8)\/(-6) and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l - 12*l = -7*r - 27*l + 18, 0 = -2*l - 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 9. Let u = -6.7 - s. Let q = 0.6 - 1. What is the third biggest value in -4, u, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, z: 1, y: 1, t: 2, v: 2}. Give prob of picking 2 d.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**4\/24 - 2*d**3\/3 - 4*d**2. Suppose -u - 12 = -3*u. What is i(u)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -1.5. Let s = -45 - -134\/3. What is the closest to s in -4, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25660 (base 7) to base 14\nAnswer: -26d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -216 - (-3 - 1) - -3. Let k = x - -304. Suppose -20 = 93*l - k*l. Calculate the smallest common multiple of l and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 3*s**5\/20 - 2*s**4\/3 + 8*s**3\/3 - 3*s**2 - 5144*s. Give n(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12528 and 222.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7025, -13808, -20603, -27410, -34229?\nAnswer: -41060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6495 + -6494.91. Which is the third smallest value? (a) 6 (b) m (c) -3 (d) 0 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56 - 56. Let s(y) = -1 - y**3 + y + 6*y**2 + h*y**2 - 4*y**2. What is s(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 3. What is the highest common divisor of q and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10177771 to the nearest integer?\nAnswer: 3190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189684086.\nAnswer: 2, 151, 628093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -322 - -316 - (-1 + 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3120425 (base 6) to base 15.\nAnswer: -2e8d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*((4*u + 3*u**2 - 4*u)*(3 + 0 - 5) + (2*u - 1 + 1)*(4*u - 3*u + 0*u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40831.859 + -5.\nAnswer: 40826.859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.04 + -0.04. Let o = -30 + 22. Let w be (13\/o*2)\/((-1)\/(-4)). Is w at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81 and 1557?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 != 4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -8*y**2 - 4201*y + 20677. What is v(-530)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 0*x - 7 + x - 2*x + 9 - x. Let i(m) = -m**2 + m + 1. Determine -i(f) + s(f).\nAnswer: f**2 - 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -39 - (-39 + -25 + 27) - 47\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 12*f**4 + 1198*f**3\/5 - 3738*f**2 - 76156*f\/5 + 290928\/5 = 0.\nAnswer: -29, -11\/2, 38\/15, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/80)\/(6\/15). Put -3\/2, d, -5\/3 in ascending order.\nAnswer: -5\/3, -3\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -5*c - 125. Let u be 10\/(-15) + (-40)\/c. Let f(t) = -2*t**2 + 10*t + 8. Let x be f(u). What is the closest to 0.3 in x, -2\/15, -1\/5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 454995 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(4\/5))**(1\/5))**1 assuming x is positive.\nAnswer: x**(9\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ag when two letters picked without replacement from {g: 1, o: 1, a: 1, p: 2, y: 1, x: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -247, -492, -737, -982?\nAnswer: -1227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*22.6\nAnswer: 2.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**4\/13 - 954*j**3\/13 + 27420*j**2\/13 - 270200*j\/13 + 894000\/13 = 0. Calculate j.\nAnswer: 10, 447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42810\/11 or -3893?\nAnswer: -3893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 9*n - 5. Let s(a) = -309*a - 12046. Let p be s(-39). Let y(v) = -9*v + 6. Determine p*y(d) + 6*g(d).\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7506.771mm in centimeters?\nAnswer: 750.6771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 1:00 AM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 5, 0, 4, -4, 54, 143 in decreasing order.\nAnswer: 143, 54, 5, 4, 0, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 19*f**2 + 2*f + 4. Let p be w(-19). Let y = 54 + p. Solve 3*i = -4*z - 4, -4*i + 0*i = -z - y for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -302 + 614. Suppose 0 = 3*x + 8 + 7, -n - 4*x = -g. Let h = 589 - n. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, r: 5, x: 2, e: 1, w: 10}. Give prob of picking 1 p and 2 r.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -22. Suppose s + 12 = u. What is the greatest common divisor of 64 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 37*k**2 + 18*k - 14. Let l(b) = 13*b**2 + 6*b - 5. Let a(p) = -6*c(p) + 17*l(p). Determine a(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 10, 29, 68, 133?\nAnswer: 230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 56*r - 1161. Let y(p) = -5*p**2 + 395*p + 8130. Let v(b) = 15*i(b) + 2*y(b). Solve v(f) = 0.\nAnswer: -11, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1249*d**6 - 18*d**4 - 2*d**3 + 3*d**2 + 2*d + 54347 wrt d?\nAnswer: -149880*d**3 - 432*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 192.1 + -201. Let k = 81.1 - f. Let g = 92 - k. What is the smallest value in -0.3, 0.03, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 1)*(0*z**3 + 0*z**3 - 2*z**3)*(-108 + 73 - 179) to d + h*z + x*z**3 + f*z**2 and give x.\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 574437407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -12112 (base 3) to base 8\nAnswer: -225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1325 - -1611. Calculate the greatest common divisor of d and 2145.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 10 - 2*b + 1 + b + 6 - 8. Let r be o(-9). Let t = 212 + -122. What is the greatest common factor of r and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8321642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 330*n**2. Let g(r) = -2*r**2. Determine l(g(t)).\nAnswer: 1320*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from ttr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1044 and 93.\nAnswer: 32364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4*i + 12 = 0, 0*i = -5*a + i + 19. Let s(t) = -1 + t**2 + 7 - 1 - a. Let c(p) = -3*p**2 - 2*p - 3. Let h = 3 + -2. Give h*c(w) + 4*s(w).\nAnswer: w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95 - 249 - 600 + 13*a - 12*a + 87.\nAnswer: a - 667","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of 3*l + 0*l**3 + 1\/6*l**4 + 0 + 0*l**2. Let f(u) = -u**2. What is f(z(v))?\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15260 - 0?\nAnswer: 15260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 23*l - 2. Let d(k) = 3*k. Give a(d(m)).\nAnswer: 69*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**2 - 19*i - 6. Let f be t(-6). Solve 20 = -3*p + 8*p + z, f = 2*p - z - 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s - 4 + 0 + s. Let c be t(-6). Suppose 7 - 7 + f**c = 0. What is f?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18228*m**3 - 58*m + 70293*m**3 + 58*m.\nAnswer: 88521*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -879 divided by -100\nAnswer: 879\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-322)\/(-69)*(-1)\/(-3). Let p = r + -52\/45. Factor -p*t**5 + 2\/5*t**2 + 2\/5*t**3 + 0*t + 0 - 2\/5*t**4.\nAnswer: -2*t**2*(t - 1)*(t + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -o**4\/4 - 7*o**3\/3 + 4*o**2 - 3. Let c be u(-8). Find the second derivative of 2*l**5 + l + c*l + 0*l**5 - 4*l wrt l.\nAnswer: 40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 - -41. Let i(f) = 45*f**3 + 8*f**2 - v - 47*f**3 + 5. Calculate the remainder when 6 is divided by i(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1110*h**4 + 1106*h**4 + 0*h - 6*h + 3*h**2 to the form j*h**2 + q*h + b + a*h**3 + i*h**4 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 92, 184, 260, 260, 124?\n\"Answer: -10*a**3 + 52*a**2 + 6*a + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3, -3*l = -0*l + 2*s - 3444. Suppose 6*t - 798 - l = 0. 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: What is the ten thousands digit of 2105717?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/18 and (((-9)\/(-6))\/((-2)\/4))\/(-10).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 370*v**2 + 763*v - 6978. What is j(372)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0\/h*h*h**(-1))\/(h\/(h**(-2\/3)*h)*h**(-1\/8)\/h))**24 assuming h is positive.\nAnswer: h**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 63561 divided by -1\nAnswer: -63561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2022 + -2000?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.1 - -13.1. Does s = -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (0 + 16 - (9 - -15 - 16))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n - n - 3*n + (34*n + 85*n - 11*n - 20*n)*(6 - 4 + 1).\nAnswer: 263*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*z**3 + 128*z**3 + 87*z**3 - 310*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**2 - 36*g + 37 = 0.\nAnswer: -37, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 38347600 to the nearest one hundred thousand.\nAnswer: 38300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (((sqrt(21)\/sqrt(3) - sqrt(7)) + 1)**2 - (3*sqrt(7) + -4)))*-3*-1.\nAnswer: -9*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/94658615 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 126 divided by 21\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -139.2, -4, 5 in increasing order.\nAnswer: -139.2, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -25*u. Let q(w) be the second derivative of 5*w**4\/3 + 1033*w. Give q(y(t)).\nAnswer: 12500*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11497, 11474, 11429, 11356, 11249, 11102, 10909?\nAnswer: 10664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4b36 + 19d97?\nAnswer: 15261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 51 + -31. Let o = -19 + y. Are o and 3\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 12*v**2 + 8*v - 6. What is r(-10)?\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/4? (a) -3 (b) 2 (c) 5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*(((sqrt(1584)*2 - sqrt(1584))*-1 - sqrt(1584)) + 4 + -6*(sqrt(1584) + 0) + -4))**2.\nAnswer: -2433024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1962\/654*14\/2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.950641 nanoseconds in hours?\nAnswer: 0.0000000000033196225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 358\/(-6) - (-10 - ((-592)\/288*6 - -3))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3335269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 190.694 - 1?\nAnswer: 189.694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 12:28 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w - 6. Let m be x(3). Suppose m = -7*h + h + 408. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12024 (base 5) to base 14.\nAnswer: -477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z + 19*z**2 + 8*z**2 - 55*z**2 + (z + 0*z + 0*z)*(z + 8*z - 5*z) + z**2 + 4*z**2 + z**2.\nAnswer: -18*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 254824, -4.\nAnswer: -31, -4, 254824","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f, -59 = -4*w + 4*f + 9. Suppose 96 = 29*r - w*r. Solve -u - r = -5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*x - 7 = 0, 6*x - 2*x = -4*g - 16. Let w be ((-14)\/(-6) - 2)*21 - g. Let l = 34 - w. What is the smallest common multiple of 2 and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -1916\/5443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 15) to base 2.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 6*n**2 - 4*n - 4. Let m be (-8)\/3 + (-5)\/15. Let j be -2 + -7*(m - -2). Let g be o(j). Is 1 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6314 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q + 2. Let y(x) = x - 1. Let n(i) = -7*i + 5. Let v(g) = -n(g) - 6*y(g). Suppose 4*f + 0 - 6 = -2*s, -5*s - 2*f - 1 = 0. Calculate s*d(l) + 2*v(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3401 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66076861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-582)\/(-388)*(-1562)\/(-3)?\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 5:47 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.2 times -0.022?\nAnswer: 0.1364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 = 4*f - 57. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 515 and 16892.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c - 71. Determine m(22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -3*n**5\/10 + n**4\/12 - 5*n**3\/6 - 72*n + 3. Let r(u) = u**3 + u - 1. What is 5*r(x) + w(x)?\nAnswer: -x**3 + x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -6*w**3 + 91*w**2 + 662*w - 10153. Calculate j(15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19345170 divided by 195.\nAnswer: 99206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 622197 to the nearest integer?\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 3*i**2 - 6*i - 2. Let k be h(5). Let g be (-3)\/12 + k\/(-8). Suppose 5*b = 3*b + g. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -5*u**4 - 61315*u**3 + 183975*u**2 - 183985*u + 61330 = 0?\nAnswer: -12266, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -106 - (-1 + (5 - -3) + (4 - -2 - 5))?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -8*t - 2. Let q(j) = -112*j - 42. Let i(y) be the first derivative of 11*y**2\/2 + 4*y - 115. Let p(d) = 21*i(d) + 2*q(d). Calculate v(p(m)).\nAnswer: -56*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.2*4.670225.\nAnswer: -10.274495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -0.1, -122, -118\/3, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245720 is divided by 76?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -26. Solve -2*l + 9*i = h*i - 13, 3*i = -3*l - 12 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 8*u**3\/3 - 7*u**2\/2 - 11*u - 5. Is r(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*x + 2*w - 10, 3*w = x + 10. Let j be (x*1)\/(-20 + 21). Suppose i = j*i. Solve -4*l - 4*a + 2*a + 6 = i, 0 = 2*a + 10 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -7307?\nAnswer: -7307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1))**20\/((j*j**(3\/5))\/j*j*(j\/(j\/((j**(-1)\/j)\/j)))\/j))\/(((j*j\/j**6)\/((j*j\/(j**(1\/6)*j))\/j))\/(j**(1\/3)*j**(2\/7))) assuming j is positive.\nAnswer: j**(-2761\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22139964, -22139966, -22139968, -22139970?\nAnswer: -22139972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of d**4\/6 + d. Suppose -9 = -4*f + f. Let i(r) = 6*r + 8. Let g(n) = -2*n - 3. Let q(m) = f*i(m) + 8*g(m). Determine q(t(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 143 in 0.4, -2, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 8, b: 7, m: 1, r: 2}. Give prob of picking 2 b.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29295 is divided by 3590?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4581 = -2*p, u + 0*p + 2*p = 1531. Suppose -4*i + 594 = 2*n, -2*i + u = 2*n + 3*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*u - 6*u - 3*m + 13, 5*m + 20 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2 + 36*w + 36. Let o be l(18). What is the highest common divisor of o and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -7*n - 5. Calculate x(-13).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 56 - (6 - 32) - 43\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by -68.\nAnswer: 13\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 71 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-6) - (-1)\/(-6). Let v(b) = -b + 1. Let l(a) = -a - 6. Suppose 0 = 3*z - 5*z. Let k be l(z). Let s(c) = 8*c - 5. Determine k*v(y) + q*s(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 107 + -104. Sort 25, -3\/4, m, -3\/8 in descending order.\nAnswer: 25, m, -3\/8, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*n**4 + 13*n**4 - 14*n**4)*(-195 - 241 + 338).\nAnswer: -2156*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + o = -5*k + 25, 3*o = k - 17. Find the third derivative of -4*g**2 + 3*g**k + 440 + 164*g**4 - 339 wrt g.\nAnswer: 3936*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 10*x**2 + 7. Let t = 14 - -5. Calculate the remainder when t is divided by g(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/530 and -1\/85.\nAnswer: 9010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 1481 = 5*q + 1506, 5*q = 4*o for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 11, r: 1, q: 3, i: 4}. What is prob of sequence jqrj?\nAnswer: 55\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*i + 4 = 0. Let o(f) = -2*f**2 - 2*f - 4. Suppose 0 = 2*t, 5*j - 6*t - 15 = -t. Let d(w) = -w**3 - 3*w**2 - 3*w - 5. Determine i*d(b) + j*o(b).\nAnswer: 2*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 190bd + 2?\nAnswer: 190bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4*(-5 + sqrt(13)*-1))**2.\nAnswer: 176*sqrt(13) + 692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -7 (b) 3\/121 (c) 47 (d) -17 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 51 + -24?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(0*y - 4*y + 5*y)*(-139 - 24 - 4 - 258).\nAnswer: -425*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1503, -1504, -1491, -1458, -1399, -1308?\n\"Answer: v**3 + v**2 - 11*v - 1494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1799 = 4*u - 21287. Is 29 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 2*n - 5 = 8, -24*b + 18*b - 31 = 5*n for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/288 and 19\/3168.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -4 + 4 - 3*w + 5*w. Let j(m) be the second derivative of 0*m**3 + 0*m**2 - 4*m + 0 + 1\/12*m**4. Give j(l(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2020 and 66?\nAnswer: 66660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/1 - -2 - 6\/3. Let n(y) = 2*y**2 - 3*y. Let z(p) = -p. Give s*z(v) - n(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m - 5*m + k + 14 = 6*m - 10, -8*m + 51 = -k for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) 21 (c) 1\/4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 768.5772mg in grams?\nAnswer: 0.7685772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**5 + w**5 - 3*w**5 + (4 - 2 + 1)*(9*w**2 - 24*w**5 - 9*w**2) - w**2 + w**5 + w**2.\nAnswer: -75*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**3 + 37*o**2 - 545*o + 1353. Calculate j(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 334\/((48\/9)\/(-8)). Let q = -356 - m. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -7. Suppose 0 = r - 4*o - h, 0*o = r + 2*o + 3. Let x be (((-4)\/(-2))\/r)\/(-2). Solve -x = -0*l + l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102660 and 37990.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*z = -33. Suppose 3*v - z = 3*n + 7, 3*v - 4*n = 22. Factor f**2 + 2*f**4 - 8*f - 3*f**v - 8*f**3 + 14*f**2 + 2.\nAnswer: 2*(f - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 25 = h, -c + 3*h - 47 = -3*c. Calculate the remainder when c is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + 0*m**2 - 3*m**2)*(1 + m - 1)*((-2 - 1 + 5)*(-2*m - 3 + 3) - 12*m - 13*m - 3*m).\nAnswer: 128*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -9*k**2 - 6*k + 1. Let j(b) = -8*b**2 - 5*b + 1. Let n be -9 + 4 + 1 + -2. Let z(w) = n*j(w) + 5*o(w). Does 13 divide z(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2279208 is divided by 759733?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -98, 4, 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1619, -1613, -1605, -1595, -1583, -1569?\nAnswer: -1553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 75*c**2 + 264*c - 142. What are the prime factors of u(-80)?\nAnswer: 2, 7, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61 - 22. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60276 is divided by 268?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 19*x + 4*x - 13*x**2 - 5*x**2 + 16*x**2. Let v(w) = w**2. Determine k(v(n)).\nAnswer: -2*n**4 + 23*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2995823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 28aa063 (base 12) in base 5?\nAnswer: 4043443324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 14*p - 37. What is d(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -9423.464 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*j = -0*j, -4*x = -2*j + 8. Let m be (-3)\/1*(1 - x). Let y = 47 + -60. Let f(k) = 11*k + 13. Let d(p) = -5*p - 6. What is m*f(u) + y*d(u)?\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 6:33 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - l - 45 = -2*k, -39 = -2*k + 3*l. Let q be k\/(-20)*12*-1. Suppose 5*i - 9 = -y + 4*y, 3*y = -q. Solve -2*p = -i*p - 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 427 a factor of 83692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376 is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1c825 (base 13) to base 11\nAnswer: 3933a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.09 - 0.15. Sort -0.4, n, -5 in descending order.\nAnswer: n, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34361228.\nAnswer: 2, 11, 383, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13197, 9328, 5459, 1590?\n\"Answer: -3869*r + 17066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 1. Let n be s(6). Let y = -5 + n. Suppose -14 + 2 = -y*u - 2*g, -4*u - g + 12 = 0. Solve 3*k + 20 = 2*o + u*o, -3*k = -3*o + 15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-10) + 522\/90. Suppose -4*p - 5*c = -289, -t*p + 2*p - 5*c = -223. Suppose -2*y + p = -m, m = -3*y + 72 + 17. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -45*l**5 - 260*l**4 - 300*l**3 + 350*l**2 + 345*l - 90 = 0. Calculate l.\nAnswer: -3, -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -359366618 by 118642.\nAnswer: -3029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is d (base 16) in base 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-24)\/(-2))\/(162\/(-56) - -3). Let y = -102\/3137 - 3158041\/28233. Let r = y + q. Which is bigger: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.49 + 0.06\nAnswer: -7.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 6*l**2 - 4*l + 1. What is the units digit of t(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, n: 2, d: 1, y: 4, z: 5}. What is prob of picking 1 y, 1 t, and 1 n?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 12, -4*d - 98*k + 146 = -100*k for d.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-8)*-2*-2. Suppose -3 = -p - w. Solve -4*l = -p*l - 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 529 and 371663.\nAnswer: 196609727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -3.5. Let v be ((-4)\/(-2))\/((-2)\/5). Let k be (1\/v)\/((-5)\/(-10)). Which is the third smallest value? (a) k (b) -0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*-187998.\nAnswer: 1503984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1437970 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25816 and 4354?\nAnswer: 8028776","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 3, -2.7, -280\/9, -1.2?\nAnswer: -280\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -12*(-7)\/(-280)*(-4)\/(-3). Let w be (4\/(-2))\/((-2)\/4). What is the nearest to h in w, -2\/7, 0.7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**10)\/x**(-5))**(-8\/11) assuming x is positive.\nAnswer: x**(-128\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1407 = -5*m - 562. What are the prime factors of m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4973 = 1085*o - 567*o + 15851 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*z = 155917, -w + 4006 + 151909 = 3*z. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 f, 1 z, and 1 y when four letters picked without replacement from {y: 2, f: 1, b: 1, z: 1}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - 35 - (0 + -5) - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**5 - 125*n**4 + 555*n**3 + 2945*n**2 - 14840*n + 15300 = 0 for n.\nAnswer: -5, 2, 9, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 28839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**4 + 616*y**3 - 24916*y**2 + 92400*y - 90000.\nAnswer: -4*(y - 75)**2*(y - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*d**2 - 2*d + 7*d**4 + 1 - 30*d**2 + 2*d**3 - 1 + 67*d**2 as y*d + u + g*d**3 + s*d**2 + n*d**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 8, 1\/8, -29, -0.4228 in decreasing order.\nAnswer: 8, 0.3, 1\/8, -0.4228, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2 = -5*a, 0 = 2*d + d - 12. Is -1 + a - (-30)\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(-1 + 4 - 5)*(39 + 8 + 0)*(-13*t**3 - 39*t + 39*t).\nAnswer: 1222*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hdf when three letters picked without replacement from rredhnfnnrednndnnff?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 251 + -3?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -9. Let w(c) = -c**3 + 4*c**2 - c - 3. Let m be w(g). Suppose u - m*n = -0*u - 1, -5*u + 4*n + 28 = 0. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 33582\/231 + 9 + -10 - (-22)\/(-77). Which is greater: 144 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 - 173 = -7*n. Suppose 4*w = 3 + n. Suppose a + 2*m + 0 = 4, -w = -5*a + m. Calculate the lowest common multiple of a and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11411 + 1422200?\nAnswer: 1434111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qfq when three letters picked without replacement from qqtftfffq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-4)*4\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (429\/(-52))\/((-3)\/184). Let s = y + -323. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 821066.2 nanograms to micrograms.\nAnswer: 821.0662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1259, 1241, 1209, 1157, 1079?\nAnswer: 969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 28, 177, 556, 1279, 2460?\n\"Answer: 19*n**3 + n**2 + 13*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1418399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 1 - 6*s**2 + 4*s**3 + 0*s**3 - 7*s - 3*s**3. Let b be n(7). Suppose -b - 4 = -a. Is a a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -46, -92, -126, -142, -134, -96?\n\"Answer: n**3 - 53*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -684486*g + 28748408. Calculate s(42).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of m**4\/4 - 2*m**3 + m**2\/2 + 4*m + 1. Suppose -7*b + 12 = -5*b. What is the smallest common multiple of u(b) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zo when two letters picked without replacement from {z: 1, v: 1, o: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -68*j**2. Let x(t) = -t**2. Calculate -g(o) + 102*x(o).\nAnswer: -34*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*y**2 - y**3 + 1 + 2*y**4 + 18*y**2 + 0*y**4 to the form s*y**3 + o + x*y**2 + a*y + r*y**4 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 27\/(-78) + (-8)\/(-16). Let b = 3\/65 + k. Which is smaller: -6 or b?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39 + -38.5. Suppose 3*a - 27 = -0*a. Let x be ((-6)\/a)\/((-11)\/(-3)). Put x, -4\/5, c in ascending order.\nAnswer: -4\/5, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -p - 319*p**2 + 500*p**2 - 177*p**2 - 487*p**2 - 2 in the form r*p**2 + q + v*p and give r.\nAnswer: -483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 497037 and 645.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1876879 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r*r**(-3)*r)\/r)\/(r**(-4\/3)*r))\/(r**(-1\/6)*r*r)**(-20) assuming r is positive.\nAnswer: r**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -6.4\nAnswer: 0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*k + 7*k + 17*k + (0*k - 2*k + 3*k)*(2 - 2 - 1).\nAnswer: 16*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - h**2)*(6*h**3 + 5*h**3 - 3*h**3) - 42*h**5 + 32*h**5 - 24*h**5.\nAnswer: -42*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1817 + 1817 - 198*p)*(2*p + 0 + 0)*(-2*p + 2*p - p)*(1 + 3 - 2).\nAnswer: 792*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 4, 125, 59948 in decreasing order.\nAnswer: 59948, 125, 4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10221 - 30663 + 10221 - 9*v + 10221 + 3*v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 74 - 118. Let u = b - -45. What is the closest to u in -0.4, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s**4 - 710*s**2 + 719*s**2 + 2*s - 2 + s**3 + 1 to v*s**2 + u*s**4 + n*s + i*s**3 + a and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11818811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6660*i**4 + 70*i**3 + 946763*i**2 wrt i.\nAnswer: 159840*i + 420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1225 and 315.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 264 and 352?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2068)\/360 - (-161)\/(-2898)?\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -9, 2, 225, 145?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((1*sqrt(304))**2 + 0 - sqrt(304)) - ((sqrt(19) + sqrt(114)\/sqrt(6) + -2)**2 + (1 + sqrt(19))*3).\nAnswer: sqrt(19) + 219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-0.1405.\nAnswer: -0.04215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1780 and 9781990.\nAnswer: 19563980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 101.6 - 109.816. Let g = q - 0.084. What is g rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16704778 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nm when two letters picked without replacement from {b: 2, q: 2, f: 4, m: 1, n: 2, g: 3}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(175) + -1) + (-4*sqrt(175)*-1)**2 + 2.\nAnswer: -10*sqrt(7) + 2804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14591 - 6?\nAnswer: -6.14591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 710288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 989519001?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9374 - -16426. List the prime factors of s.\nAnswer: 2, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -k**3 - 3. Let c(g) = -4*g**2. Calculate c(l(n)).\nAnswer: -36*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 39.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.35 - 1.8. Let d = -1.4 + a. Let f = d + -0.05. Which is bigger: 3\/4 or f?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -z + 2. Find the common denominator of (z - 27\/(-10)) + -2 and -31.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -3. Suppose -p = i, -2*i + 70 = 3*s + s. Suppose k + k = -2*n + s, 2*k = -5*n + 42. Calculate the greatest common divisor of n and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -188\/17 + 13471\/1275. Let f = y + 4\/25. Suppose -5 + 17 = 6*b. What is the third smallest value in b, f, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5*v**3 - 8*v**2 - 16*v - 9. Let i(a) = -a**3 - a**2 - 3*a + 1. Let d(g) = f(g) - 4*i(g). Let u be (5\/2)\/(2\/(-4)). What is the units digit of d(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 299 - 126. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**3 - 75*r**2 + 79*r - 104. Calculate p(24).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 + 35391700*l + 62628621444500.\nAnswer: 5*(l + 3539170)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2803720?\nAnswer: 2, 5, 29, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1488 divide 3940224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 e when four letters picked without replacement from wweweww.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 30*c - 1.\nAnswer: -30*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1336330559 to the power of 1\/2, to the nearest integer?\nAnswer: 36556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bcwbj. Give prob of sequence cjb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + 1. Suppose 4 = t - 4*l, 2*t - 4*l - z + 0 = 0. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13717419169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1021 + -11?\nAnswer: -1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 10*p**2 - p - 1. Let o be s(10). Let m = o + 19. Suppose 3*k - m*k = -4*y - 67, -2*k = y - 19. What is the highest common factor of k and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 7*q - 2. Calculate g(-5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.3 (b) 3 (c) -1 (d) 2 (e) 119 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + (sqrt(80)*3 - sqrt(80) - sqrt(5))**2*2) + -3.\nAnswer: 2457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 7.8. Let l be (2\/(-9))\/((9\/2)\/(36\/8)). Suppose 0 = -5*s - 3 - 17. What is the nearest to s in l, -1\/2, k?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2848*u**5 + 6*u**3 + 56*u - 58*u + 40 - 5*u**3 + 13*u**2 wrt u?\nAnswer: -170880*u**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 17187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**3\/9 - 5*u**2\/3 - 25*u\/3 - 125\/9 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 34 in -0.1, 0, -11, -7, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0.05, -0.6, 0.2 in ascending order.\nAnswer: -0.6, 0.05, 0.2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -10\/7, 1.138.\nAnswer: -10\/7, -0.5, 1.138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/60 - (-1334)\/12. Does 42 divide (56\/6)\/(k\/54 - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a millennium in months?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -233 >= -241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 12:30 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1054 + (-2 - -2) + -1. Let w = -677 + v. Let r be (3 - 0)\/(3\/w). Calculate the highest common divisor of 47 and r.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -284 - -299. Suppose 2 = 5*x - 2*j, -4 = -5*x + 3*j - 1. Is p greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/16*4 + 12. Suppose 4*j - 10 = 3*n + 10, -3*j + d = 4*n. Suppose n = 5*t - 3*q + 5*q - 504, 0 = -q - 3. Does 27 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 8:50 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-44) + (-31)\/(-11). Suppose 0 = 5*l - u*l + h - 2, 3*h = -4*l + 8. Let o(i) = -14*i**3 - i - 1. What are the prime factors of o(l)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 86256912 and 22848.\nAnswer: 5712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13459 is divided by 2152?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3\/20, 2\/5, -3\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43286.\nAnswer: 2, 23, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = u + 3. What is the tens digit of 92\/(-1*u + (-15)\/(-6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 8\/11*n**4 + 2\/11*n**5 + 0*n - 2\/11*n**3 + 8\/11*n**2 = 0. What is n?\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 1 (c) -0.1 (d) -454 (e) -0.3 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2262 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(((k\/k**(-2\/3))\/k)\/k))**(2\/9)*k**(5\/7)*k*k*(k**8\/k)\/k)\/((k*k*k**(5\/6))\/((k*k**(-1\/7)*k)\/k)*(k**(1\/2))**(-4\/9)) assuming k is positive.\nAnswer: k**(2743\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 237.8 - 0.03?\nAnswer: 237.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172*a = -174*a + 594098. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**34\/x*x)\/x**(-1\/15))\/(x\/(x*x**(-9\/2)\/x*x)*x**(-3\/2)) assuming x is positive.\nAnswer: x**(466\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1341730)\/53664 + 25 - 3\/144.\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 d when four letters picked without replacement from {a: 6, u: 3, d: 5, w: 1, q: 2}?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 541635811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 7) to base 10\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0296315 grams in nanograms?\nAnswer: 29631500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 694, 620, 524, 394, 218?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46 + -43. Let d(c) be the third derivative of 0*c**4 + 0*c**b + 0*c - 1\/120*c**6 + 0 - 3*c**2 + 1\/30*c**5. What is i in d(i) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*p - p. Suppose 0 = -v + 2*v - p*b + 51, 83 = -3*v - 5*b. What are the prime factors of v\/21*42\/(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/44, -4, 0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 q when three letters picked without replacement from {p: 1, a: 2, f: 2, y: 1, x: 3, q: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/5)\/j**(3\/8))**12 assuming j is positive.\nAnswer: j**(-117\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1699 + 6787 - 1689 - 1700 + 627*p - 1699.\nAnswer: 627*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 30 = -0*u - 5*i, -10 = -3*u - 5*i. Suppose c = v + 25, 5*v - 784 + 849 = 0. What is the lowest common multiple of c and u?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**5 - s**3 - s**2 - s + 1. Let g(x) = -54*x**5 - 7*x**4 + 2*x**3 + 2*x + 102. Let o(w) = -g(w) - 2*l(w). Find the third derivative of o(q) wrt q.\nAnswer: 3120*q**2 + 168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9423914.\nAnswer: 2, 389, 12113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 344916724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 62 + -4?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-18)*(c*c\/c**(1\/30))\/c)\/(c**20\/(c*c**11)) assuming c is positive.\nAnswer: c**(-751\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 88 + 168*u**2 - 164*u**2.\nAnswer: 4*u**2 - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(2 - 1 - 6)*(46*l**3 + 54879*l - 54879*l).\nAnswer: 230*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -1235 = -11*n - 1070. Solve -n = -b - 4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276987252 is divided by 33192?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*v + 132. Suppose -d + i - 3*i = -3, -4*i = -d + v. Let p = 24 - d. Solve -2*j - j = 4*x + p, -5*x - 2*j = 12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r**4 - 11*r**3 - 9*r**2 + 19*r - 10. Let s(y) = -70*y**4 + 155*y**3 + 125*y**2 - 265*y + 140. Let u(t) = 85*a(t) + 6*s(t). Factor u(d).\nAnswer: 5*(d - 1)**3*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -198 + 389\/2. Let t = 0.054 - -0.516. Let m = t - 2.57. What is the third smallest value in m, -0.5, q, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/561 and 55\/51.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/(-675)*-63)\/(2\/6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 6:26 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 6*h**2 + 2*h + 2. Let w(s) = 4*s**2 + 4 - 2 - 1 + s + s**2. Let n be (15\/(-20))\/(1\/(12\/3)). Calculate n*y(j) + 4*w(j).\nAnswer: 2*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 - 42. Suppose -5*m + 16 = -2*s, 4*m + 2*s = -s - g. Suppose -3*p = 2*i - 26, 6*p + 2*i - 36 = m*p. What is the greatest common divisor of 15 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2972720 rounded to the nearest ten thousand?\nAnswer: 2970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -734 + 13*d + 2168 - 713 - 716.\nAnswer: 13*d + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66 + 25 + -39 + 17 + (1 - 1)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 171610000 to the nearest 1000000.\nAnswer: 172000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2837 or -2855?\nAnswer: -2855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111001010111111 - 11?\nAnswer: -1111001011000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -51514 (b) 1 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -73.6 and -674749.\nAnswer: 49661526.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0069053 rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 56080?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c - 22*c**2 + 3*c + 21*c**2 + 7. Let g be i(7). Let t = 55 - g. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113702?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 213 - -1131?\nAnswer: 1344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(2057) - (sqrt(119)\/(sqrt(21)\/sqrt(3)) - sqrt(17)) - (-1*((-2 + sqrt(68))**2 + sqrt(68)) + 5).\nAnswer: 67 + 27*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -295? (a) -1 (b) 4 (c) -0.2 (d) 4\/3 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + -1 + (-110 - -98) - (4 + -7).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 924*1\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -6*l. Let f be h(-3). Suppose 0 = -2*b - b + f. Suppose 10 = c - b. What is the least common multiple of c and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 24096788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-48))\/(150\/16) + (-9 - 362674\/(-40950))?\nAnswer: -4\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 178196, 177906, 177618, 177332, 177048, 176766?\n\"Answer: v**2 - 293*v + 178488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 567 + 3*r**2 - 26*r**2 - 1727 + 564 + 597.\nAnswer: -23*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14660 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j + 3. Suppose -3*z + 5*z + 6 = 0. Let l(b) = 25*b - 35. Give z*l(w) - 35*d(w).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -471, -750, -815, -672, -327?\n\"Answer: -o**3 + 113*o**2 - 611*o + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -v, -5*l = 17770*v - 17768*v - 90 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6383497*b**3*g**2*o**3 + 5*b**3*g**2 + 302*b**3*g*o**3 + 223534*b**3*o**2 + 2*b*g*o**2 wrt g?\nAnswer: 12766994*b**3*o**3 + 10*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3 = -3*k, -4*h + 4*k - 4 + 24 = 0. Let v = 5.2344 - 0.0644. Let g = v - 5.4. Which is the third biggest value? (a) h (b) -0.2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8520946.26 and 90?\nAnswer: 8521036.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/(-2328))\/((-36)\/(-336)*259). Is k less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 w when three letters picked without replacement from {b: 2, k: 7, w: 2}?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -6. Let g be (-74)\/(-10) - a\/5. What is the third derivative of g*r**2 + 0*r**2 - 9*r**3 + r**2 wrt r?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -270780 * -13\nAnswer: 3520140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -4 (c) 721655\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020211011 - -1000?\nAnswer: -1020210011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 20156012 (base 7) to base 3\nAnswer: 10011020201212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3524 at least as big as 4\/169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n + 0*n - n**4 + n**3 - 2*n**4 - n**3 + (-2*n**2 + 2 - 2)*(n**2 - 8*n**2 + 3*n**2) - n + n + 2*n**4.\nAnswer: 7*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.41, -2\/23, -50.9, 0.8 in ascending order.\nAnswer: -50.9, -1, -0.41, -2\/23, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 5 - 3 + 47 + 36*c**2 as j*c**2 + a*c + b and give b.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -a - 72, -3*g - 36 = 3*a + 30. Let s = g + 166. Let c be s\/13 + -1 - 14\/(-91). Solve l - 2 = -v - 0, l + 3*v - c = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -74770 and 7.3.\nAnswer: -545821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (86 + 217 + 709)*(2*h - 2*h - 7*h**2).\nAnswer: -7084*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1303)\/6*102\/(-14). Let l = g - 1580. Let m = l + -12\/7. Are m and 0.3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2867 - -2866.7. Which is the closest to 1? (a) p (b) 4\/5 (c) -0.17 (d) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 236 or 235?\nAnswer: 235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x - 4. Let j be v(8). Suppose z - 4*y + 2 + 10 = 0, j*y - 32 = -4*z. Suppose 413 = z*u + 97. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**34)**(1\/8) assuming i is positive.\nAnswer: i**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 340 = 358 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-14))\/(2\/14). Suppose -s - 5 = -6*s. Let i = -683 - -681. Put -4, s, i, f in descending order.\nAnswer: f, s, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a54 - 683?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4339\/7 + 620. Let r = -0.01 - 3.99. Let z be (-12)\/(-9)*(-2)\/6. Sort i, r, z in descending order.\nAnswer: i, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4873818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/28)\/((-250)\/(-400)).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/(sqrt(16)\/sqrt(4)) + (1*sqrt(6))\/sqrt(3) + 3)**2.\nAnswer: 12*sqrt(2) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.75 + 0.75. What is the nearest to 1 in -4, 0.3, -10\/7, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8118652218 to the power of 1\/2, to the nearest integer?\nAnswer: 90104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -11*p - 108. Let y be u(-10). Let n(l) = -l**2 + 5*l - 3. Let z be n(y). Solve 0 = 2*q + q + 3*c - 12, -z*c = -2*q + 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -562339 (base 11) to base 4.\nAnswer: -3122302220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 14 = 4*b, -3*n + 11*b - 6*b = 26 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 10:32 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 + -2400?\nAnswer: -2410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from rrrrbrbrrrrrbrr.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((2 - -31)\/1)\/(1 - 0). Suppose 4*q = 2*p + 20, -5*p - m + 15 = -2*q. Let y = 10 - 6. Solve x + 29 = 5*k, 3*k - y*x + q = 7*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 5:25 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 29 = -3*i, -5*i + 0*i = y + 11 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 4. Let c(j) = j**3 - j**2 + 28. Let v be c(o). Suppose p - 5*p = v. Let r(b) = -b**2 - 7*b - 2. Determine r(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 608 and 323.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*(-6)\/486 + (-2261)\/(-459). Solve -5*w + 2*k + 8 = -2, -2*k = j*w - 30 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, v: 5}. Give prob of picking 4 c.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/3 - 428*r\/3.\nAnswer: -r*(r + 428)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 412593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 616600.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 + (186619 - 3))*(-6)\/(-18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(3\/8)*p*p**(-5)*p*(p**(-2\/11)\/p)\/((p\/p**(1\/3))\/p)*((p\/p**0*p*p*p)**(-2))**5 assuming p is positive.\nAnswer: p**(-11477\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32\/89 or -459\/8?\nAnswer: -459\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -122.6244195 and -32372?\nAnswer: 32249.3755805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-18))\/(8\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1251306 is divided by 625648.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r - 11. Determine i(16).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 53 - 7 = 0. Factor -5 + 5 + t**3 + 10*t - 6 + 14*t**2 - h - 9*t**3.\nAnswer: -2*(t - 2)*(t + 1)*(4*t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (-9 + 10) - 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 785 and -4.\nAnswer: -3140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 5. Let u = -6\/73 + 176\/365. Which is the closest to 2\/7? (a) -0.5 (b) h (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 17. Let g(o) = 4*o**2 + o. Let u be g(1). Suppose -u = -5*n + p. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -5, 6, 13, -1 in ascending order.\nAnswer: -5, -1, 0, 1, 6, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 0, -8, -6 in descending order.\nAnswer: 5, 0, -4, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*n = 45*n + 4. Let i(o) be the third derivative of 0*o**3 + 0*o - 1\/12*o**n + 0 + 2*o**2. Let f(x) = x**2. What is f(i(l))?\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.07+-240229976004\nAnswer: -240229976003.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -40773, -66531, -92289?\n\"Answer: -25758*h - 15015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 13 = u, -2*g + 2278*u - 2274*u - 16 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(44)\/sqrt(4) + sqrt(11))**2 + (sqrt(11) - 3*(sqrt(11) - sqrt(99)))**2.\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -423, -825, -1227, -1629?\nAnswer: -2031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2926965706 to five dps.\nAnswer: -0.2927","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*m**3 + 94*m**3 - 28*m**3 - 31*m**3 - 30*m**3.\nAnswer: -13*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17324 or -17415?\nAnswer: -17415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**5\/120 + f**4\/12 + f**3\/2 - 2*f**2. Let l(z) be the first derivative of g(z). Differentiate l(h) with respect to h.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2952*y**5 - 2102*y**2 wrt y.\nAnswer: 177120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 10:25 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-17)\/(24\/4 - 7). Suppose 4*o = -r + 22, 4*r + 5*o = 8*r + v. Let f = -1 - 0. Put r, f, 3 in ascending order.\nAnswer: f, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1792713 or -1792717?\nAnswer: -1792713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 54095928749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 12 + u**2)*(4*u + 2*u**2 - 4*u).\nAnswer: 2*u**4 + 12*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-930)\/(-155)*(-1)\/6*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43012372838 - 0.1.\nAnswer: 43012372837.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqqqlqmslllqmqg. Give prob of picking 1 m and 1 s.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9188*s - 5950*s + 4189*s to h*s + r and give h.\nAnswer: -10949","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 8*s - 75 = 0. Suppose -17*w - s = -12*w. Let q(n) = 3*n**3 + 2*n**2 + 3*n + 5. Let p(r) = -r**3 - r**2 - r - 2. What is w*p(f) - 2*q(f)?\nAnswer: -f**3 + f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22471, 44895, 67319?\nAnswer: 89743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12406024 to the nearest integer?\nAnswer: 3522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (9 - 26) + 21 + -11 + -1\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 0.5, 0.4, -4\/141?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3638 - 3641. Which is the smallest value? (a) -4 (b) -22\/3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456172 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -4.6. Let v = 16.5 + -15.9. Let n = v + q. Which is the third biggest value? (a) n (b) -4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -837*t**5 + 208*t**3 - 1324063*t**2.\nAnswer: -50220*t**2 + 1248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16*w**2 + 7*w**2 - 6*w**2)*(-9 + 5 - 5) as h + i*w + d*w**2 and give d.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 91770517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/10 of a millennium?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 3*j + 24, 21*j = 3*p + 25*j + 18. Let z be (p\/(-16))\/((-9)\/(-12)). Which is the closest to 0.1? (a) 2\/5 (b) 3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47 times -47\nAnswer: 2209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 337\/(-48) - (13 + -26 + 6). Which is the closest to o? (a) -0.3 (b) 5 (c) 3 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-241)\/(-30) + -4 + 0 and 56\/45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 92*f**2*h - 2*f**2 + 86*f*h wrt f.\nAnswer: 184*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -28891 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 38 divided by 2322\nAnswer: 19\/1161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1081 is divided by 264.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -6*n - 5\/3*n**3 + 0 + 1\/3*n**4 + 0*n**2. What is the second derivative of a(f) wrt f?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-2\/7)*(m**(1\/7)\/m)\/m)\/((m**(-4)\/m*m)\/(m\/m**(4\/5)))*(m*(m\/m**1)\/m)**(-2\/79)\/((m**(-3\/8)*m*m)\/m*m*m**1) assuming m is positive.\nAnswer: m**(281\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 6:39 PM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 - 0.1. Let d = -4.3 - -4. Which is the second biggest value? (a) 0.3 (b) x (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 t when two letters picked without replacement from kkgkkcztkg.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -675 + 1628. What are the prime factors of p?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-43)\/(-3))\/(4\/12). Let x = -31 + c. Let u = -365 + 1505\/4. Are x and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -327.9 - -344. Let c = -15 + q. Which is smaller: c or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -0*o - 5. Suppose -o*m = -0*m. Suppose -3*i + h = -4, -3*i + i + 2*h + 4 = m. Which is smaller: -1\/5 or i?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 136655?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-2\/9)*f\/f**31*(f\/f**(-38))\/(f*f\/(f\/f**38)*f*f*f) assuming f is positive.\nAnswer: f**(-290\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -35*l**3 - 15*l**2 - 8*l + 67. Calculate k(-3).\nAnswer: 901","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 15*h. Let y(m) = -2*m + 3*m**2 + m + 3*m + 2*m. Let j(z) = 4*z**2 + 5*z. Let d(x) = -4*j(x) + 5*y(x). What is d(u(t))?\nAnswer: -225*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*q**2 + 39*q**2 - 12*q**2 + 1548*q**3.\nAnswer: 1548*q**3 - 9*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttoj when four letters picked without replacement from {n: 1, o: 5, j: 1, y: 1, s: 1, t: 4}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i - i + 4*i. Let c(n) be the first derivative of -n**3\/3 - 13. Give k(c(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 828.490572us in weeks?\nAnswer: 0.00000000136985875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 16, z: 2}. Give prob of sequence jzj.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-132))\/((-48)\/264).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 g when four letters picked without replacement from gtgtglgtgltgg.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 642 by 6.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 3*g + g)*(-4 + 4 - 2*g) - 53*g + 53*g - 25*g**2 + (2*g - 4*g + 4*g)*(-4*g + 4*g - 2*g) + 2*g**2 + 0*g**2 - 3*g**2 + g**2 - 2*g**2 - g**2.\nAnswer: -28*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2874785 and 54550?\nAnswer: 28747850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 237430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s**2 - 3*s - 2. Suppose 69*i + 158 + 146 = -41. Let y(q) = -6*q**2 - 7*q - 4. Give i*d(l) + 2*y(l).\nAnswer: 3*l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*p = -0*t - 14, 5*t + 30 = 5*p. Sort t, -4\/7, 7\/3 in ascending order.\nAnswer: t, -4\/7, 7\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -452*u**3 - 4*u**2 - 6*u + 6. Let i(v) = -904*v**3 - 6*v**2 - 10*v + 11. Calculate -3*i(w) + 5*t(w).\nAnswer: 452*w**3 - 2*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/24 - (-19)\/28. Let g = -2 + 4. What is the smallest value in g, -5, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(567) + (sqrt(567) - (2*sqrt(567) + 5)) + -4 + 1*sqrt(567)) + -1)**2.\nAnswer: -2664*sqrt(7) + 10441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 10:48 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -148.4, -1\/23, 0 in ascending order.\nAnswer: -148.4, -1\/23, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49662 by -267.\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 923 + -922.8. Let f = 7\/11 + -16\/77. Let u = 2 - -2. Which is the third biggest value? (a) u (b) z (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-36)*(-1)\/(100\/1920).\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 60 = -j. Suppose 1728 = 17*o + o. What is the highest common divisor of j and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from {j: 3, i: 2, e: 1, y: 10}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) -28 (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*v + 5*z = 185, 2*z = 2*v - 334. Calculate the highest common factor of v and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 3:27 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -69*c + 75. Give m(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**3 + 3*j**2 + j - 2. Let l(s) = -8*s**3 - 22*s**2 - 4*s + 6. Calculate -l(r) - 3*u(r).\nAnswer: -r**3 + 13*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2722.9674 * 5.\nAnswer: -13614.837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -463 - -4612?\nAnswer: 4116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**3 + c + 1. Let f(b) = b**3 + 170*b**2 + 344*b + 173. Let g(m) = 3*f(m) - 3*o(m). Factor g(s).\nAnswer: -3*(s - 172)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, p: 2, v: 1, a: 1, y: 5, x: 1}. Give prob of sequence yv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 361986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11494417 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + -2 - (66 + -78 + (3 - 3 - -10)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-16 + 1) - (-53 + 59)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 50739408849 and -1.209.\nAnswer: 50739408847.791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**2 + 8. Let w(l) = -629678 + 629678 + 13*l**2. Determine w(d(m)).\nAnswer: 117*m**4 + 624*m**2 + 832","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 110111010111000000011 (base 2) to base 10\nAnswer: 1814019","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 174 and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 692457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of p**4\/3 - 1072*p. Let a(o) = -4*o**2 - 1. Give h(a(n)).\nAnswer: 64*n**4 + 32*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -158 - -158. Suppose r = 5*w - 5*v - 385, -5*w = -4*v - 132 - 254. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-22 - (-10 - (17 - 12)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37793831.\nAnswer: 19, 61, 32609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4 - -10 - 4) + 7286?\nAnswer: 2, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1046 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-3)*6\/2. Suppose -c*w - 27 = w. Is 5 a factor of -24*(w\/6 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -836 - -835.96554. Round f to three decimal places.\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 43.67 and 1109942?\nAnswer: 1109898.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**32\/(n\/(n**21*n)*n))\/(n\/n**(-10)*n**(2\/25)*n*n))**38 assuming n is positive.\nAnswer: n**(36974\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 + 27. Calculate the remainder when v is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*k - 3219 = -3074. Let m(a) be the third derivative of 0*a**k + 7\/40*a**6 - 1\/2*a**3 + 0*a**4 + 0 + 4*a**2 + 0*a. Differentiate m(c) wrt c.\nAnswer: 63*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38a (base 14) in base 9?\nAnswer: -868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -v**5\/240 + 259*v**4\/96 - 257*v**3\/12 - 8356*v**2. Factor r(d).\nAnswer: -(d - 257)*(d - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/89)\/((d*d**7\/d)\/d) assuming d is positive.\nAnswer: d**(-532\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -31*m + 14. Let i(p) = -6*p + 3. Let u(z) = 36*z - 299. Let r be u(8). What is r*i(d) + 2*h(d)?\nAnswer: 4*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1473, -18, 0 in descending order.\nAnswer: 0, -18, -1473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*1 + (-4)\/((-4)\/33). Let m be (-116)\/36 - (-8)\/z. Let g(t) = -3*t**2 + 3. Let l(o) = 2*o**2 - 2. Determine m*g(d) - 5*l(d).\nAnswer: -d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -67 + 127 - 79 - 111 + 25*l. Let f be j(5). Suppose -4*n + 8*n = 0. Which is the closest to 3? (a) n (b) f (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k**2 + 2 - 2)*((k + 4*k - 4*k)*(-3 + 5*k + 3) - 4*k**2 + 2*k**2 + 0*k**2) to the form d*k**4 + r*k**2 + c*k + g*k**3 + z and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 43\/3, 1\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3220.\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {c: 5, g: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 25384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.0002 (b) 1 (c) 1\/8 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 4:52 PM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 3*p - 2*p)*(-4 - 1 + 4) + (-27 - 8 + 0)*(1 + 1 - 11)*(-2*p - p + 4*p).\nAnswer: 316*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v**3 - 73*v**2 + 20*v + 3. Determine d(18).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2147 + 4*g**3 - 3382 - 10*g**3 + 36673.\nAnswer: -6*g**3 + 35438","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 5, -10403 in descending order.\nAnswer: 5, 4, -2, -10403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4a + -2ac867?\nAnswer: -2ac81c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -476*a - 8 = -2*v - 480*a, 0 = -3*v - 2*a + 16. Solve 4*p + 26 = v for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 5:28 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 4. Let j be (-4932)\/(-16) + t\/(-8). Suppose 2*u + j = 6*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 15*j + 20. Calculate s(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**2 - 15*m**2 + 143505 - 143505.\nAnswer: -11*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 + 9*x - 4. Calculate o(-7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40427 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41\/2 - 61\/6. Let f = 31 + g. Factor f*c + 0 + 1\/2*c**3 - 5\/6*c**2.\nAnswer: c*(c - 1)*(3*c - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from ggkkbkabgabkllll.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 209 + 175. Let v(k) = -3*k - 4. Let b be v(-12). What is the greatest common divisor of l and b?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19371 - 2031. What is the ten thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**3*w**2 + 4*h**3*w + 4112*h**3 + h**2*w + 5*h*w**2 - 180*h + 2*w**2 wrt h?\nAnswer: 6*w**2 + 24*w + 24672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 1 + 7 = 0. Let l(f) be the first derivative of -1\/2*f**2 - 1\/3*f**3 + 2*f + b. What is l(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 137, -36, -321, -718, -1227?\nAnswer: -1848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -13, -288, -18, 6 in decreasing order.\nAnswer: 6, 5, -3, -13, -18, -288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(84) - (sqrt(84) + sqrt(84)*1)) + sqrt(84) + sqrt(84)))\/((sqrt(300) + sqrt(12))*5).\nAnswer: -sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 2723?\nAnswer: -2722.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*v**3 + 2*v + 0*v**3 - 8 + 2*v**3 + 7*v**3 to r*v**2 + b*v**3 + p + s*v and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.11853784 rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of r**6\/120 + r**3\/3 + r**2. Let w(u) = -u**2 - 8*u + 82. Let v be w(-14). Determine d(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/(-5) + -2)*((-16725)\/6 + -5). Sort -5, -2, d, 4, -3 in increasing order.\nAnswer: -5, -3, -2, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -86, -173, -260?\n\"Answer: -87*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 466409 or 466417?\nAnswer: 466417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 f when two letters picked without replacement from {s: 1, x: 1, f: 2, j: 3}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (10184\/7638)\/((-64)\/(-3))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (144 + -135)\/(6\/(-14))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - j + 0*j + 2)*(-9*j**3 + 15*j**3 + 27*j**3).\nAnswer: -33*j**4 + 99*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 3*u + 3*b + 774, b = 5*u - 1274. List the prime factors of u.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of y + y**2 + 6 - 1\/3*y**3. Let v be ((-4)\/14)\/((-4)\/56). Give g(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - g + 3 = 0, 6*g + 1 + 22 + 4 = f + g for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2776 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, i: 4, w: 3, e: 4, c: 1}. What is prob of picking 2 m and 2 e?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3472670.\nAnswer: 2, 5, 239, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -1. Calculate the lowest common multiple of 2 and w*(48\/(-5))\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 143 + -148. Sort 3, -2\/13, a, -1\/3 in decreasing order.\nAnswer: 3, -2\/13, -1\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8212 and 2700?\nAnswer: 5543100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -248, -443, -638, -833, -1028, -1223?\nAnswer: -1418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 123\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 3*p - 68, -247 = -5*v + 4*p + 148. Calculate the remainder when 742 is divided by v.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**2 + 15*p - 6. Let d be k(7). Let j be 2\/d + (-1 - -5). Solve -5*n = -2*n + j for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 972856744?\nAnswer: 2, 121607093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**5 + 4*z**2 - 4*z**2)*(4 + 5 - 3)*(0 + 1 + 0).\nAnswer: 18*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -2 - -2)*((-204)\/(-7))\/34?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2873461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*g + 4*g - 20*g + 14 + 4*g wrt g.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**2 - 9*d**2 + 4*d**2 + (-5*d**2 + 2*d**2 + 2*d**2)*(0 + 1 - 2) to the form t + x*d + r*d**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 + (1\/(-1) - 0)*1. Solve -k + 16 = -5*h - 0*k, 3*h + 4 = -m*k for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 2*y + 0*y)*(-6*y**2 + 26*y**3 - 12421 + 12421) + (3*y + 2*y - 3*y)*(4*y**3 - 4*y**3 - 2*y**3).\nAnswer: -30*y**4 + 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 31 - -700?\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2 = 2*g, 4*s + g = 5*g + 24. Suppose 0 = s*k - 0*k - u - 8, 0 = -5*k + 5*u + 15. Solve -20 = -0*l - k*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 0*d + 3\/5*d**5 - 3\/4*d**4 + 3\/2*d**2 - d**3 - 3. Determine c, given that x(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4366047 is divided by 31.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -674020, -673968, -673916?\nAnswer: -673864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -22 + 12 - -32 - 37 - 25?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 5. Let f = 0.1 + 53.9. Let x = -50 + f. Which is the smallest value? (a) x (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -62 - -66. Solve 22 = -k*y + 2 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12713 + 55406?\nAnswer: 42473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 4\/7 (b) -89 (c) 1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 20*q**2 + 2*q + 42. Let m(h) = -20*h**2 + 21 - 42 - 22 - 2*h. Let g(i) = 4*b(i) + 3*m(i). Find the first derivative of g(w) wrt w.\nAnswer: 40*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31180 + 29943 - 1818*g + 2*g**2 - 64767 = 0. Calculate g.\nAnswer: -2, 911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 5*b - 143 + 710, 0 = -2*s + 3*b - 575. Let x = -39 - s. What are the prime factors of x?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*m + 4*m + 36 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2\/11*l**3 - 68*l - 46\/11*l**2 + 0 = 0.\nAnswer: -11, 0, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 116626 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -5*u**2 - 3. Suppose -10 = -3*s + 5*s. Let n be t(s). Is (n\/(-20) + 2)*5 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t + 24. What is x(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 6*q + 3. Determine d(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**3 - 3556*n + 3556*n.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + sqrt(153)*3 - sqrt(17)*1*-5) + -5)**2.\nAnswer: -150*sqrt(17) + 3850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-28)\/(-4)*-1 + 3. Let h = u + 19. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((-24 - -9) + 7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c**4 - 20*c - 3 + 6 + 7*c**4 - 6*c**4 + 3 - 2*c**3 in the form r*c**4 + s*c + x*c**2 + v*c**3 + i and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**3 + 14*r**2 - 25*r + 180. Calculate q(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.95 - 0.05. Let m = -1.6 - t. Let a = 1.992 + 0.008. What is the third biggest value in m, 5, a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -20*f**2 - 24*f - 8. Let i(n) = -10*n**2 - 11*n - 4. Calculate -9*i(d) + 4*v(d).\nAnswer: 10*d**2 + 3*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22440 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 224.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*n + 6 - 27 = 5*s, -56 + 22 = 2*s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-42)\/(-9) - (-21)\/63. What is the third smallest value in j, -1, 0.3, 0.2, 0.8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 37?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -4691.27 to the nearest 10.\nAnswer: -4690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 4\/9 (c) -0.5 (d) -0.05 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1260, 949, 628, 291, -68, -455?\nAnswer: -876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2dd67d (base 14) to base 13\nAnswer: -445972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -43\/6298781?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18847 + -18842.3845. Let b = t + -4.6. Round b to 3 dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 - 32*n - 2890. Give h(48).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d (base 15) to base 5.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 23. Suppose 177 = 7*t - u. Let o = -30 + t. Let a(j) = -j**2 - 4*j - 2. Calculate a(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.83264235 to one dp.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96460 and 227370.\nAnswer: 3183180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 3*q - 32, -4*q + 1 = 3*o - 27. Let j(v) be the third derivative of -v**3 + 0 + 1\/80*v**6 + 0*v**q + 3\/40*v**5 - 2*v**2 + 0*v. Factor j(p).\nAnswer: 3*(p - 1)*(p + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.57 + -11.27. Let i be (-1)\/((-1 + -1)\/(-4)). Which is the closest to -7? (a) 0 (b) i (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5 = 2*i, -3*i + 3*g + 38 = 8. Let f be 3\/(((-585)\/(-6))\/i). Which is the biggest value? (a) f (b) -0.4 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1179040.\nAnswer: 2, 5, 7369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 0 + (7 - 15)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 1:59 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1056 and 3192414.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w + 85*w**2 - 87*w**2 - 70 + 150 - 20*w = 0 for w.\nAnswer: -10, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5 = 4*t. Let i(x) = 7*x - 1. Let s be i(t). Suppose s*p = p + 265. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/30 in 0, 3, 0.3656, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/22 - (-136)\/(-22). Let n be a\/9 + (-28)\/(-6). Find the common denominator of 89\/12 and 57\/24 - 2\/n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.999936 - 7. Round d to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5444777 centimeters to kilometers.\nAnswer: 0.000005444777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a century in years?\nAnswer: 1175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 829.0968 - 829. What is d rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 40344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 297911 to the nearest integer?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 0.5 (c) -10 (d) 1\/16 (e) -5 (f) 44\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**2)**33)**(-16\/5) assuming b is positive.\nAnswer: b**(-1056\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -309, -2\/553, 5, -5\/3, 0.4, -2\/9?\nAnswer: -309","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -31959 take away -0.0549?\nAnswer: -31958.9451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-278)\/(-973)*(2 - (-10)\/16).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -69*q. Let g(o) = 52*o. Calculate n(g(h)).\nAnswer: -3588*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 6*n + 14. Suppose 78 = n*o - 6. Differentiate -o*f**3 + 0*f**3 - 5 - 4 - 4 with respect to f.\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 22 = -5*d, 2 - 6 = -4*d - n. Let o(l) = 3*l**2 - l**2 - 3*l**d + 14. Does 7 divide o(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 18 + 4 = 0. Suppose -4*i - r + 590 = -3*a, -a = 0. Let p = i + -1560\/11. Find the common denominator of -68\/3 and p.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 150 + -3003\/20. Find the common denominator of u and 57\/(-20)*-2 + -1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 5*o - 3. Let v be g(3). Suppose 3 = 2*t + v. What is the first derivative of 0*l + t*l + 16*l**4 - 2848 + 2812 wrt l?\nAnswer: 64*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9726 is divided by 1440.\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*y = -0*i - 8, 2*i + y + 12 = 0. Let z be 6\/i*4\/(-3). Suppose 0 = 10*l + 1697 - 1667. Sort 0, z, l in descending order.\nAnswer: z, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 929112823?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 12 = -4*d, -4*d - 11 = -2*w + 1. Let z be d + (3 - -20) + 3. Solve 3*f = 2*x - z, x - 6 = -2*f - 3*x for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -335 - -351. Solve -14*o = -v*o - 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 33*y - 7292. What is h(212)?\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*v - 260 + 497 - 26*v - 252)*(-5*v**3 + v**3 - 3*v**3).\nAnswer: 266*v**4 + 105*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*b - 55650, -b = 2*i + 2*i - 18550. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 13 - 19 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 16 = 44. Let y be ((-4)\/x)\/((-1)\/(-6)). Suppose n - 44 = 5*a, -y*n - 34 = -3*n + 3*a. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 277*i**3 + 266*i**3 - 532*i**3.\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -601 - -861. What are the prime factors of (-195)\/g + 319\/4?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -642*a**2*i**3 - 36037*a**2 + 26*a*i**4 wrt i.\nAnswer: -1926*a**2*i**2 + 104*a*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i - 13*i + 9*i + (-2 + 0 + 0)*(0*i - 3*i + i))*(1 - 5 - 3)*(0 - 1 + 0) to j + p*i and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**4\/(w*w**5*w)*(w*w**0)**(-2\/83) assuming w is positive.\nAnswer: w**(-251\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4865.\nAnswer: 5, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3 = j, -5*j + 4*l = 18 - 3. What is the common denominator of -65\/4 and j - (29\/(-18) - 2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1929678653 to three decimal places.\nAnswer: -0.193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 343 - 290. What is the remainder when q is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -2. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-4))\/((-2)\/(-4)). Let q = r - 2. Let s = 52.4 - 52. Which is the second biggest value? (a) q (b) s (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a5 - 1aa?\nAnswer: -2a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sxskscus. Give prob of sequence kuc.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58871\/11 - 5351. Suppose -2\/11*q**2 + 12\/11 - c*q = 0. What is q?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - l + 2*l)*(2*l - 3*l + 2*l) - 2 + 2 - 2*l**2 + (-2*l + 0*l + l)*(0*l + 4*l - 3*l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -117, -114, -109, -102?\n\"Answer: p**2 - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-6))\/((-2)\/(-4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*1 + (3 - 0). Suppose w*u = b + 33, -3*u + 7 = b - 0*b. Let h be b\/(-24) + 14\/(-18). Which is greater: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 289, 0 in decreasing order.\nAnswer: 289, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -7*j**3 - 5*j**2 - 2*j - 5. Let p = 5 - 3. Let n(y) = 4*y**3 + 2*y**2 + y + 2. Let u = 27412 - 27407. Determine p*d(t) + u*n(t).\nAnswer: 6*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-36)\/(-16))\/(6\/16). What is the smallest common multiple of (l\/(-15))\/(1\/(-15)) and (-10)\/6*(0 - 6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -465902400 to the nearest 1000000.\nAnswer: -466000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(2744)*2)\/sqrt(8)*-1)**2 - (0 + sqrt(42)\/(2*sqrt(6))*3 + -4))*2.\nAnswer: -3*sqrt(7) + 2752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 372 at least as big as 364?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.044558 - 0.308588. What is r rounded to 2 decimal places?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c + 2*n + 63, 5*c + 8*n - 103905 = -104174 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -205 in increasing order.\nAnswer: -205, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 10:27 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 67.601 + 0.399. Let c = 70 - y. Is -44\/5 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -5*l + 2. Let t = -2 - -9. Let v(s) = 11*s - 5. Let m be (-16)\/(-2)*(-1)\/(-2). Let d = m + -1. Calculate d*v(h) + t*w(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*w**3 - 37*w**3 - 160*w**3 - 372*w**3.\nAnswer: -616*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -312, -1241, -2790, -4959, -7748, -11157, -15186?\nAnswer: -19835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -z**5\/15 + 3*z**2. Let k(b) be the second derivative of -2*b**3\/3 + 7749*b. Calculate l(k(q)).\nAnswer: -64*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -13557, 1\/4, 0.2, 2, 0, 5 in increasing order.\nAnswer: -13557, 0, 0.2, 1\/4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -86*x - 663. What is the remainder when 42099 is divided by b(-8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 6241?\nAnswer: -6241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*r + 1937 = 10031. Calculate the remainder when r is divided by -2*(-66)\/4 + 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**3 + 8*s + s**3 + 9*s**2 + 12 + 2*s**3. Let x be d(-8). What is the greatest common divisor of 6 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 12) to base 8.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 896\/6 + 2\/3. Suppose 143*z + 84 = o*z. What is the smallest common multiple of 60 and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.028404 and 1117.7.\nAnswer: 1117.671596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23120\/7 - -3303. Put 5, w, 0.55 in increasing order.\nAnswer: w, 0.55, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(1600) + 2*sqrt(1600)*2 - sqrt(1600) - sqrt(1600)) + sqrt(1600)))\/(-2*sqrt(80) + (sqrt(5)*-2 - sqrt(5))*5).\nAnswer: -192*sqrt(5)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 1)*(2*t**2 + 4 - 4) + 0*t**2 + 6*t**2 - 3*t**2 + 4*t**2 - 2*t**2 - 4*t**2.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/(6\/10 - 88\/80) is divided by (-2)\/(-2 - 3\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -89 - 0?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43*m*v**5 + 93*m*v**2 + 12*v**5 + 7*v**2 - v wrt v?\nAnswer: -2580*m*v**2 + 720*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 154434.21 - 155698. Let s = i - -1274.79095. Let w = 11 - s. Round w to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -300 - 4.\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1400, 2802, 4202, 5600, 6996, 8390?\nAnswer: 9782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + f**2 + 5*f + 1. Calculate the remainder when 87 is divided by c(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1609283a + -4?\nAnswer: -16092842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -512?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(11) + 2) + -5*sqrt(55)\/sqrt(5) + ((sqrt(1584) + 1)*-2)**2 + 2*sqrt(1584)*-5.\nAnswer: -34*sqrt(11) + 6330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**3\/7 + 2482*f**2 - 8123480*f\/7 - 16316472\/7 = 0. Calculate f.\nAnswer: -2, 498, 8191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32 - 9*b + 32)*(4 - 4 + 3) to the form q + r*b and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 11:39 PM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hsn when three letters picked without replacement from {o: 2, n: 2, f: 1, h: 2, s: 13}?\nAnswer: 13\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12\/127? (a) -3 (b) 5 (c) -5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1450344*k**3 - 8872091.\nAnswer: 4351032*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1602, -1603, -1604, -1605, -1606?\n\"Answer: -m - 1601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3961767 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 130021 (base 5) to base 4\nAnswer: 1032103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*n + 5 = -47*n, -5*f + 2 = 3*n for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, h: 1, d: 3, r: 1}. Give prob of sequence dzrh.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, x: 1, e: 3}. Give prob of sequence exe.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.05 + 0.37. Let o = -10 - -5. What is the third smallest value in 2, o, -2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -30.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 277*a**2 + 3 - 274*a**2 - 1 + 3 - 7*a. Let w(f) = 2*f**2 - 4*f + 3. Suppose -n + 7 - 3 = 0. Calculate n*k(s) - 7*w(s).\nAnswer: -2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -1814, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 12. Let o be (-348)\/(-20) - t\/(-10). What is the greatest common divisor of o and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 617637450 and -3.\nAnswer: 617637447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -2*x - 3, 255*s - 1 = 250*s - x for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -839*w + 841*w = 5*i - 3, 0 = 3*w - i + 11 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**6\/d**(-7))\/(d\/(d**(2\/7)*d))**22 assuming d is positive.\nAnswer: d**(135\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -895, -1053, -1213, -1375, -1539, -1705?\n\"Answer: -y**2 - 155*y - 739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3129840 divided by 180\nAnswer: -17388","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -65043790*f**3 + 2*f**2 - 22796266.\nAnswer: -390262740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*n + 9*n - 3*n.\nAnswer: -19*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6159?\nAnswer: 3, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4 + (sqrt(3) + 1)*6 + 1.\nAnswer: 10 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 11:42 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1, -32, -99, -200?\n\"Answer: -17*v**2 + 18*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 461730*f**2 - 11*f + 2. Let d be s(9). Let g be (-6)\/4 - d\/(-22). Round g to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t**3\/5 - 40*t**2 - 724*t\/5 + 264\/5 = 0 for t.\nAnswer: -11, -6, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 218 - 273. Let z = t + 57. Solve -z*w = 2*h - 4*w - 4, 4*h + 3*w - 22 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -478 + 328. Calculate the remainder when (4 - 56\/12)\/(4\/u) is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**2 - 147*h + 223. What is c(72)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - q + 512461 - 512483 = 0, -6*q = -4*p + 156 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 9*g**2 + 16*g + 16. Let q = -26 - -19. Let j be k(q). What is the third biggest value in -10, j, 2\/21?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-6) + (4 - 585\/162)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 747838381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 29, 9, -19, -61, -123, -211, -331, -489?\n\"Answer: -k**3 + 2*k**2 - 19*k + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -3*h - 96. Let q = -45 - h. Let f = 89 - q. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 5*w + 4. Let y be q(-3). Is 5\/y - (-554)\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 - 119 = -5*c. Suppose 4*s - c = -4*s. Solve 4*k - 8 = 0, 2*k + 5 = s*g - 2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a**3 - 10*a**2 - 7*a - 2. Let h(y) = -10*y**3 + 31*y**2 + 20*y + 7. Let g = -231 + 233. Let p(x) = g*h(x) + 7*o(x). Find i, given that p(i) = 0.\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10275 less than or equal to -9380?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**4 + 4*l**4 - 3*l**4)*(-24 + 24 + 4*l) + 2*l**5 - 2*l**3 + 2*l**3 + (-3 + 2*l**2 + 3)*(0*l**3 + l**3 + l**3).\nAnswer: 2*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-32)\/8 + 379 + 0. Suppose v - 219 = -3*w - 14, -5*w = -5*v - g. List the prime factors of w.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and 6470486529?\nAnswer: 6470486528.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 6*b - 112. Let f(r) = -r**3 + 4*r**2 + 6*r - 3. Calculate the least common multiple of b and f(4).\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 6*m**2 + 6*m - 1. Let n be h(5). Suppose n = 27*v - 31*v. Sort v, -5, -8.\nAnswer: -8, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -3, -5, -763, 22 in descending order.\nAnswer: 22, 0, -1, -3, -5, -763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15943 and 157642?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3401088\/35 - -97172. Let h = -49\/530 - 466\/5565. What is the common denominator of h and l?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/7 or -203458?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 9:31 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(612)*2 + 0)*4 + -2 + -3)*-2 + -5.\nAnswer: -96*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 184 + -179. Solve -5*z - 4*h = -j, 24 + 16 = 5*z - 3*h for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 65*t**2 - 40*t**2 + 133*t**2 in the form p + q*t**2 + v*t and give q.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 16*m**2 - 36*m - 2. Let z be n(-18). Let s be 5\/((-15)\/(-12)) + -79. What is the tens digit of (-7400)\/s*(-3)\/z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1359062717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4329\/(-396) - (-6 - 4) and -93\/1492?\nAnswer: 16412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91 and 2912?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 1\/2, 4, 2575?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(325) + 0 + 5 + (-4 + sqrt(325))**2*-6.\nAnswer: -2040 + 245*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n - n + 3*n + (3 + 0 - 1)*(-n + 0 + 0) - 21*n + 16*n - 28*n to y + t*n and give t.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/3 + 73 + 1. Is 26 a factor of 4\/(3 + f\/(-26))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jb when two letters picked without replacement from {b: 1, j: 7}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 26 = -2*x + 38, -3*x - 55 + 47 = b - x for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 66+5165363676178\nAnswer: 5165363676244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 1:43 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-3)*27\/(-9). Is h bigger than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/204 and 111\/884.\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 2*c + 53. Give w(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 287, 286, 285?\n\"Answer: -w + 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 126*b**3 - 7*b - 2. Let i(c) = -629*c**3 - 5*c**2 + 35*c + 11. Let y(p) = -4*i(p) - 22*x(p). What is the third derivative of y(j) wrt j?\nAnswer: -1536","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(3 - 4)*-1. Let o(b) = t*b - 2 + 4*b - 5 - 4*b. Let z be o(5). Solve 4*n + z - 5 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13695 is divided by 6847.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 220341?\nAnswer: 220401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1896 is divided by 997?\nAnswer: 899","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -123 + 125.92. Let t = -0.08 - y. Which is the closest to 0? (a) -5 (b) 0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35237028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 55 = -0*a. Let i = -262 - -266. Solve 0*r - 17 = -h + a*r, i = -r for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91132429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0202 in -0.2, -330, 10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10915 + -10880. Suppose 8*k - 98 = k. Calculate the remainder when z is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -d**2 + 1. Let l(b) = 1 - 6 - 4*b + 5. Determine l(s(q)).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 9 = 4*h. Let i(c) be the second derivative of c**4\/6 - c**3\/3 - c**2 + 4*c. Is 16 a factor of i(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 + -39. Let w be (-65)\/(-15) - (-2)\/b. Solve -w*r - 4 = -3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2559257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 1:36 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 2*m + 145 - 13, 3*x - 132 = 5*m. Let l = -46 + x. Let k = -309 - -2159\/7. Which is the third smallest value? (a) k (b) l (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - -2)\/(-1) + -1. Let r be (54\/(-1 + 4))\/2. Suppose 0 = 2*k + v - 4*v, 0 = 5*k - 3*v + r. Is k at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112 (base 3) to base 5\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*u + 9*u**2 + 5*u**3 - 23*u**2 + 14*u**2.\nAnswer: 5*u**3 + 196*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -x**3\/6 - x**2 + 3*x. Suppose -4*i - 4*g - g = 31, 0 = 2*g + 6. What is the units digit of z(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -143 + 147. Let j(h) = k*h**2 - 3*h**2 - 5*h**2. Let d(s) = 3*s. Give d(j(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 148953 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i**2*q + 24*i**2 - 6*i + 2*q - 4 wrt i?\nAnswer: -6*q + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 1. Let u be n(3). Let f be 3*(u - 1) - 1. Let v = f + 0. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6 from 0.112.\nAnswer: -5.888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15\/7 + 54\/35. Let s be 2\/(-28) + (-2)\/(-4). Is s bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1123400263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q - 3. Let y be g(3). Let t be ((-16)\/(-20))\/(-3 - 133\/(-45)). Is (-4)\/t - 412\/y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 235710 and 756.\nAnswer: 3299940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/3)\/((-2)\/78). Let k be (-16)\/88 + u\/11. Find the first derivative of k - 7*o**3 + 7 - 2*o**2 + 2*o**2 wrt o.\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.21, 5, -0.064, -4 in ascending order.\nAnswer: -4, -0.21, -0.064, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 420010790 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 98001.52 - 98007.8200156. Let z = -91 + 97.3. Let u = v + z. What is u rounded to six dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.48 - 585.\nAnswer: -584.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -23 + 0*i**2 + i**2 + 815*i - 822*i + 85 - 55. Let g(y) = y**3 + y**2 - 4*y + 3. Let p be g(2). Determine v(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 420830?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -7*p - 5. Let o be (-29)\/9 + 4\/18. Let f(z) = 4*z + 2. Let a(b) = o*t(b) - 7*f(b). What is the units digit of a(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -4. Let y(n) = -n**3 - 6*n**2 - 4*n + 2. Let r be (5 + -4)\/(2\/(-10)). Let v be y(r). Put 0.5, m, v in decreasing order.\nAnswer: 0.5, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**3 + 7*b**2 + 20*b + 9. Determine k(-4).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 3*j - 70, 3*c - 46 = -2*j - 0*c. What are the prime factors of -50*((-104)\/j - -4)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u - 1. Let t be a(4). Calculate the common denominator of (-2)\/t*972\/(-32) and -47\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 + 0*l + 0*l + (0*l - 2*l + 3*l)*(3*l + l - 3*l)*(2 + 1 + 0).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) -20 (c) 0.625\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**3\/7 + 39558*q**2\/7 + 130402947*q\/7 = 0. What is q?\nAnswer: -6593, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-3)\/12)\/((-11)\/((-1056)\/(-24)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28058 divided by 14?\nAnswer: 14029\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-607 - 875 - 1341 - 725)*(3*q - 3*q + 4*q + (-2*q + 0*q + q)*(0 + 1 - 2)) as h*q + r and give h.\nAnswer: -17740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 8*a - 10. Let w = a + 7. Suppose -4*i - 10 = i, -w*z + 4*i = -58. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.6 - -9.7. Let b = z - 3.7. What is the biggest value in -7, b, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + sqrt(432) + 1*sqrt(432) + -5 - sqrt(432))**2 + -2.\nAnswer: -240*sqrt(3) + 1751","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-3) - (-204)\/18 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/18*19\/(608\/(-12))\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 4*p**3 - 15*p**3 - 3*p**2 + 1. Let b be z(1). Is b greater than -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.03 - 0.062. Let s = -0.0163 - 0.009. Let u = s - n. What is u rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 6:53 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 20*m + 53. Determine c(17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-5)\/(h\/h**(1\/3))*((h\/((h**(1\/2)\/h)\/h))\/h)**(-29\/4) assuming h is positive.\nAnswer: h**(-397\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**3 - 6*i**2 + 4*i - 4. Let j be q(4). Suppose -32 = 2*t - j. What is the remainder when 12 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4458 - -4458. Is q at least 4\/1529?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1155*v - 2205*v = -154*v + 54656 for v.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 260806, 260808, 260810, 260812, 260814, 260816?\n\"Answer: 2*t + 260804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1115, 1107, 1083, 1043?\n\"Answer: -8*b**2 + 16*b + 1107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5238 divided by -6\nAnswer: -873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 19*b**2 + 17*b - 23. Let a be d(-18). Let r = -0.4 + 0.2. Sort r, -2\/5, a in descending order.\nAnswer: r, -2\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 10:55 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-1 - 47 - (16 + 0 + -27 - -8))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11224075*m**2*o - 1849*m*o - 12*m - 3*o + 4 wrt m?\nAnswer: -22448150*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/7 + (-655)\/(-35). Let d = x + -13. Calculate the least common multiple of 5 and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2067\/(-2067))\/((-6)\/5)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -805 divided by -6.\nAnswer: 805\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 6 - 3 - -3) + -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/5 of a litre in millilitres?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 1 - (-32)\/2. Suppose 5*q + 3 = i. Let z(t) = -73*t + 73*t + 5*t**2 + t**3 - q. Calculate z(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 - 42632*y - 113592964.\nAnswer: -4*(y + 5329)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b + b - 3*b + 2*b. Let c(u) = -2*u. Determine c(g(m)).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a + 4. Let i be r(0). Solve -5*q + 4*t - 8 = 0, -i*t = t - 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 23*l**2 - 5*l. Let o be s(6). Suppose 3*q = 2*z + 310 + 288, -3*z - o = -4*q. Suppose 7*u - q - 54 = 0. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 167 - (122 + -47 + 21).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 29*t + 153. Let q be l(8). Suppose -5*p - j = -q, 3*j - 395 = -0*p - 5*p. What is the remainder when p is divided by 30?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - 3*n + 35, 0 = -2*y + n + n - 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 11\/4 of a week?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a**2 - 4 + 4)*(a**2 + a**2 + 0*a**2 + (-2*a - 8*a + 6*a)*(4*a - 2*a - 4*a)) to y*a + b + x*a**2 + u*a**4 + z*a**3 and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 8*i - 32 = 0. Is 4 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h + 228 + 523*h**3 - 534*h**3 + 0*h - 7*h**2 - 36 wrt h.\nAnswer: -66*h - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2047804 by -46541.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 96566c + 2?\nAnswer: 965670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 7*b + 3. Let x be f(-7). Let h(i) = -i**2 - i. Let a be h(-2). Let o be ((-5)\/(15\/12))\/a. Which is smaller: o or x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1319353 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -30*m**2 + 8*m + 75. Let h(k) = 29*k**2 - 6*k - 76. Let g(b) = -4*h(b) - 3*l(b). Differentiate g(n) with respect to n.\nAnswer: -52*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**4 - 12*f**4 - 7*f**4)*(78 - 32 - 3*f - 2*f - 43*f - 37).\nAnswer: 768*f**5 - 144*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -12*a**2 + 37. Let t(u) = 3*u**2 - 9. What is 2*q(x) + 9*t(x)?\nAnswer: 3*x**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2\/5 - 12308*w - 430976\/5.\nAnswer: 4*(w - 15392)*(w + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49915 or 0.1?\nAnswer: -49915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.4603 to 0 decimal places.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y - 0*y - v - 2971 + 2972, -11*y + 4*y + 15 = 3*v for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(-41)\/(7175\/10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37665105559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 434 + 172?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - 3*sqrt(88))*-5 - sqrt(88) - sqrt(88))\/(sqrt(32)*5).\nAnswer: 4*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-2 + -4*(-1*sqrt(448) + -4) - (sqrt(448) + sqrt(448) + 2 + 3 - (sqrt(448)*2*-4 + sqrt(448)))))**2.\nAnswer: -400*sqrt(7) + 11225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 3) + -1 + 3 + -3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 1 - 69*v**2 + 411*v**2 - 49*v**2 - 2*v. Let s be n(1). Suppose -2*k + 4*k = 3*m + 141, -4*k - 4*m = -s. Does 12 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 divided by 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -317 greater than or equal to -1588\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*c**2 + 13*c**2 + 11*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*o + 3. Suppose 2 = 3*t + o*l - l, 2 = -3*t - 4*l. Suppose t*v - v = 57. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k - 38 + 9 + 5*k - 3*k in the form f + g*k and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 696773.\nAnswer: 7, 11, 9049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (13\/(-26))\/(80\/(-32)). Let l = 8 + -1.3. Let i = 7 - l. Which is the third smallest value? (a) i (b) 1\/2 (c) k (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22 - 0?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13133139011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*j = o - 24, 2*j - 20 = 3*o. Let m be 14\/4 + 2\/o. Let k = -909 - -912. Solve k*a + 0 = -m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 6*b + 4. Let u = -28 - -34. Let l be f(u). Solve 4*d + 5*h = -1, -2*h = -d + h + l for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 25637412 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(396) + sqrt(396) + 1)**2)*2.\nAnswer: 48*sqrt(11) + 3172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2878084846 >= 2878084847?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*z = -1255 - 55. Solve 3 = -5*w - 2*b + 7, -3*w + z = 5*b for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*(l\/(l**42*l)*l)\/l))\/l**(-16) assuming l is positive.\nAnswer: l**58","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.844 - -0.69. Round b to two decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (1827\/(-91) + 10)) + (-4)\/52.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/11 at most 0.0427?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(16\/6)*2. List the prime factors of 2 + (2 - 0\/r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b5 (base 12) in base 14?\nAnswer: -9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*t = 73*t - 29*t - 198. Sort -1, t, 5, 7 in ascending order.\nAnswer: -1, 5, 7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 890*w**2 + 95*w - 96. Let h be p(1). What is the highest common factor of 56 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1030 + 1033.005. Let d = t - 0.005. Let z = -3.1 + d. Is 10 at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -3. Suppose l*o - 208 = z, -4*o - 3*z = -4*z - 167. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**4 - 864*l**3 + 12687*l**2 + 864*l - 12684 = 0.\nAnswer: -302, -1, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/9 + (-22)\/(-6). Let x = -14 - -25. Suppose -8 = z + 2*q, 3*q + v = -x. Solve -z*j - 6 = j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/4 - 34215*l\/4 - 2091969\/2.\nAnswer: 3*(l - 11526)*(l + 121)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - q - 337 = 0, -t + 2*q - 2 = -73. Suppose 4 = 4*a - 0, -80 = -6*l + 4*a. What is the remainder when t is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 22. Let k be o(8). Solve -3*b + b + 4*u = 0, -5*b + k = -3*u for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.10799 - 0.09201. Let r = -10.89 - -11. Is g at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**2 + 2*u + 2. Let m(i) = 2*i**2 - 3*i - 3. Let g(a) = 4*m(a) + 3*o(a). Let p(k) = 3*k**2 - 7*k - 7. Give 7*g(z) - 6*p(z).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((51\/(2907\/(-76)))\/(26\/6))\/(-4).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, -6, -0.176?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 = -60*w - 291 + 17 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1128791?\nAnswer: 347, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - t - 4*t - 5*t - 8 + 8 + (0*t - 2*t + 4*t)*(-7 + 2 + 3) + 19*t + 69*t + 13*t)*(0*t + 3*t - 4*t).\nAnswer: -90*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 18 = 118. Suppose z + u = 6*z. Find the first derivative of -z*d - 12 + 9*d + 7*d + 1 wrt d.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m + 2517619*m**2 + 2*m - 2517616*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.44, 5, 2\/3, -231?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 597*k - 599*k = 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/sqrt(63) - (-1 + sqrt(5) + 3)**2.\nAnswer: -9 - 11*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34207157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - d + 76, 3*t - 504*d = -499*d - 40. Let c(v) = 6*v + 113. Calculate c(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 20, -12, -1 in descending order.\nAnswer: 20, 5, 0, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.32 + 576.32. Let p = -573.0399 + n. Let r = 0.037 + p. Round r to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in ten ninths of a hour?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**5 - q**5 - 3*q**5 + (3 - 3 - 3*q**4)*(1 - q - 1) + q**5 + 0*q**5 + q**5.\nAnswer: 2*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 117129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -384 + 399. Let y(m) = m**2 + 36*m + 102. Let i be y(-33). Solve -6 = -3*g + i, -5*u - 5*g + x = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -174*t + 84 - 106*t - t**2 - 268 + 7*t**2 + 8*t.\nAnswer: 2*(t - 46)*(3*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 2106789?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yjmajny. Give prob of sequence myy.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 20, 1692, -5?\nAnswer: 1692","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 8:24 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*w + 33 = -88*w. Find the third derivative of 38*u**2 - 25*u**4 + 12*u**4 + u - 18*u**4 - 965*u**w + 962*u**3 wrt u.\nAnswer: -744*u - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 45\/7, 2, 0.2, 0.5 in descending order.\nAnswer: 45\/7, 2, 0.5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 + (20 - (9 + (4 + -3 - (3 - 3)))).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 62002147 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 688, 1535, 2382, 3229, 4076?\nAnswer: 4923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a6224 (base 12) to base 13.\nAnswer: 134677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*((-7)\/2 + 3 + 0). Suppose 36 = 6*j - t*j. Is 506 - (-2)\/j*(0 - 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 1 = -0. Suppose b = -3*m + 13. Suppose -6*q = 4*n - q - 32, 2*q - 20 = -m*n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -21*g**3 + 33*g**2 - 6*g - 6. Let w(u) = -u - 1. Let b(t) = m(t) - 6*w(t). Find the third derivative of b(h) wrt h.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3821950620 to the power of 1\/3, to the nearest integer?\nAnswer: 1563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**3 + 24*x**2 + 4*x - 24 = 0. What is x?\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of n**4\/2 - 11*n**3 + 23*n**2\/2 + 4*n + 8. Is j(16) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -14*h - 3*h**2 + 0 - 7\/12*h**4 - 2\/3*h**3 - 1\/20*h**5. Calculate p(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r\/(r*r**(-1\/3))*r*r**(-4)*((r*r*(r*((r*r**1*r)\/r*r*r*r)\/r)\/r)\/r)**(-37)*((r*r**(-2))\/r**2)**19 assuming r is positive.\nAnswer: r**(-731\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-56)\/21*(198\/(-44))\/(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-30)\/4 + (-783)\/(-174).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-4))\/(70\/80).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1801, 1754, 1707?\nAnswer: 1660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221*g = -215*g - 366. Suppose -c + z = -13 + 1, -5*c + 4*z = -g. Solve -c = d + 4*q, 8*q + 19 = -3*d + 6*q for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d + 31. Let r = 807 + -711. Suppose -106*g + r*g = 0. Give s(g).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -7*y. Let t be q(-1). Suppose 5*h + 58 = 4*o + 13, 2*h - 15 = -5*o. Let d be 1\/((-2 + o)\/15). Solve -d*i + 3*i + 5*l + 25 = 0, i + t = -4*l for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -214 - -260. Suppose -3*m - z = -2*r + 913, 5*r + 2*m = 2388. What are the prime factors of r?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/7, -0.4, 32, -3, -89, 0, -7163?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*w, w + w = -3*b + 5. Solve -1 = 2*q - b for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-1*4\/(-4)). Suppose 4*k = -4*h + 980, 4*h - 3*k + 5*k - 980 = p. Suppose 3*b = 25 + h. Is 15 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 17*s + 82. Determine v(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 45, 54, 37, -18, -123?\n\"Answer: -2*m**3 - m**2 + 26*m + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7170579 - -12734579. What is x rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 526441 (base 9) to base 11.\nAnswer: 1a4269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 7*t**2 + t + 1. Is j(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 84*l**2 + 861*l - 45. What is w(-72)?\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-40)\/90 + (-28230)\/27. Let s = m + 732. Is s != -315?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 114 in descending order.\nAnswer: 114, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.33 - 1.67. Put -1\/5, j, 3 in descending order.\nAnswer: 3, -1\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lwomy. What is prob of picking 1 m and 1 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + -1 + 7 + -2 + -1. Suppose -2*c + 5*l + 157 = 0, -i - 9 = 2*l. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -13\/24*s**4 - 1\/6*s**3 + 0 + 8\/105*s**7 + 0*s**5 + 0*s + 57*s**2 + 0*s**6. What is the second derivative of n(u) wrt u?\nAnswer: 192*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + (sqrt(66)\/sqrt(6) + sqrt(11) + 5 + sqrt(11))**2 + 5 - ((sqrt(99) - (1 + sqrt(99)) - sqrt(99)) + (2 + sqrt(275))**2 + sqrt(11)).\nAnswer: -149 + 13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 587. Calculate the remainder when z is divided by 64.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2352 and 4746.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -92c5a + 9?\nAnswer: -92c51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + 3*j + 7, 18 = 3*p - 4*j - 0*j for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2785660, 5571335, 8357008, 11142679, 13928348?\n\"Answer: -u**2 + 2785678*u - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/15 + (-17)\/60*-2. Let s(a) be the second derivative of 1\/20*a**5 + 0 + 0*a**3 + r*a**4 + 0*a**2 + a. Find the third derivative of s(o) wrt o.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.7 or 9\/1954?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 9 = q + 20, 5 = m. Let r = 59 + -42. Let u = 3 + -2. Solve -q*h + u = r for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 2, 4.\nAnswer: -5, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -9?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(140)\/sqrt(10))\/sqrt(7) - (-5 + (sqrt(2) - (sqrt(2) - sqrt(8))**2))).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yctt when four letters picked without replacement from ycytfyt.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6184 + 129.2016. Let j = -283 + 155. Let z = j + x. What is z rounded to 1 dp?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3. Let s(x) = -2*x + 271. Give 2*s(h) - 4*y(h).\nAnswer: -4*h + 530","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 611206.8 millilitres?\nAnswer: 611.2068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 + 111. Suppose 4*s - 5*g - 165 = 0, 4*g = -5*s - g + q. Calculate the remainder when s is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 6 + 17 + h**2 - 30. Let z be l(10). Let s = z - 44. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s**2 - 21*s + 20. Let a(r) = r**2 + 7*r - 7. Suppose -220*l - 170 = -210*l. Calculate l*a(p) - 6*q(p).\nAnswer: p**2 + 7*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -122657, -122635, -122617, -122603, -122593, -122587, -122585?\n\"Answer: -2*p**2 + 28*p - 122683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 - -79. Does 12 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -1\/2 (b) 1 (c) 6 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 12:40 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41.5 + -36.5. What is the fourth biggest value in -0.2, -2\/7, n, -281, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 0 + (3 - 3). Suppose -4*t = t - 10, 2*u + 4*t - 10 = z. Suppose -o = -u - 5. Solve -k = -o*k + 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jttt when four letters picked without replacement from ttjttttjttt?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 13*p**2 - 14*p - 9. Suppose -k = 4*t + 46, 2*t + 4*k - 2 = -18. Let j be i(t). Solve f = 4*n - 0*f - j, 0 = n + 4*f - 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/15 and 23\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/6 of a hour?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of 1\/24*m**4 - 1\/60*m**5 + 1\/120*m**6 + 8*m**2 + 0*m + 0 + 5\/6*m**3. What is z(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 2*s = 4*r - 32, 2*r - 2*s = 32. Suppose f + r = 3*f. Let o = f - 4. Solve a - 4 = 0, -3 = -o*t - 3*a - 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20121, -20125, -20129, -20133?\nAnswer: -20137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 11 = -3*x. Let f = x + 24. Suppose 3*a - 3*m - 3 = 0, -a - 2*m = -18 + 2. Calculate the remainder when f is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -8*o**2. Let q(f) = f - 6158. What is q(h(i))?\nAnswer: -8*i**2 - 6158","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2*i - 4 + 0*i**3 - i**3)*((1 - 1 - 4*i)*(-6*i - 21 + 21) + 15*i - 35*i**2 - 15*i) + (-2*i**4 + 3*i**2 - 3*i**2)*(2*i + 0*i - 3*i).\nAnswer: 13*i**5 - 22*i**3 - 11*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48429*-5.\nAnswer: -242145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/25*(1\/(-16) + 1). Let a(b) be the first derivative of 0*b**3 + u*b**2 - 1\/16*b**4 - 3 - 1\/2*b. Factor a(z).\nAnswer: -(z - 1)**2*(z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 550 (base 11) to base 10\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*k = -20, 7 - 17 = 2*q + 4*k. Let b(g) = 2*g**2 + 11*g + 6. Is 37 a factor of b(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 5*l**2 + 2*l - 2. Let z(b) = -b**3 + 10*b**2 - 17*b + 8. Let j be z(8). Suppose j = 5*a - 62 - 43. Suppose a = 4*t + 5. Determine w(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**3 - 22415 - 3*d**3 + 22415.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 5*k**3 - 3*k + 3. Suppose 3*w = -w + 4*l + 20, 5*l = 3*w - 21. Let t be c(w). Suppose 0*f = -f + t. Calculate the remainder when f is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -8) + 3 + (4 - 28).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 232978549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f\/f**(-23))\/f))\/f**(7\/6))\/(f**(-23\/3)*(f**(-41)*f)\/f) assuming f is positive.\nAnswer: f**(51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -941*q + 937*q + 4*j, 4*j - 8 = -4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 10*b**2 + 9*b. Let h be j(9). Suppose 5*n = i + 17, h*i - 4*n = 2*i - 22. Suppose 70 = -5*v - i*a + 280, 4*v - a = 168. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y = -58*y + 137 + 1033 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 - 3)*(9*u - u + 12*u) + (6 - 5*u - 6)*(1 - 1 + 1) as f + m*u and give m.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n**3 + 68*n**2 + 7*n + 74 wrt n?\nAnswer: -6*n + 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1558 is divided by 1500?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139 = 20*k + 39 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/((-9)\/(-1794)) + (3 - 3 - 4). Calculate the greatest common divisor of a and 330.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1032, 4572, 10634, 19218, 30324, 43952, 60102?\nAnswer: 78774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308552*x + 23980 = -308772*x for x.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - q = 30, 0 = 3*l + q + 3*q - 55. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-6 - -15 - 1) + 13?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59694?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 7*l - 19. Let t be o(9). What is the remainder when 141 is divided by (2 - -20) + 4 + (-3 - t)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 344242 (base 8) to base 10\nAnswer: 116898","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t**2 - 20*t + 16. Let w be s(5). Let k be 4 + w - 4*-1. Which is the second smallest value? (a) 3\/5 (b) k (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -556*n**3 + 75616*n - 9102597 wrt n?\nAnswer: -1668*n**2 + 75616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from wpwtjwjpjjp?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 - 6627 - 9*f**3 - 6629 + 13256.\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10984, -10822, -10638, -10420, -10156, -9834?\nAnswer: -9442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a millimeter in micrometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(16) + (sqrt(16) - sqrt(80)\/sqrt(5)))*1)\/sqrt(8))**2 - ((sqrt(288) + 0 - sqrt(2)) + sqrt(288))**2.\nAnswer: -1056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/((b*b**8\/b)\/b)*b*b**(-8))**(11\/6) assuming b is positive.\nAnswer: b**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*z - 115*z - 20*z**3 + 60*z.\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2324 + -2261. Calculate the remainder when 315 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12110 (base 7) to base 13\nAnswer: 157a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32494206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2221824\/2200 - 2\/(-25). What is the greatest common divisor of h and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 4*x. Let o be p(-5). Suppose o*q + 20 = 0, -g - 2 = -3*q - 12. Is 16\/7 + g\/7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-2))\/((-135)\/360). Factor 1\/2*x**5 - 1\/2*x**2 + 0 + 0*x - 3\/2*x**c + 3\/2*x**3.\nAnswer: x**2*(x - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 32. Let t(l) = l**2 + 1. Let k(w) = i(w) - 2*t(w). Let f(c) be the first derivative of k(c). Let r(j) = 3*j. What is f(r(q))?\nAnswer: -18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) 0 (b) -3 (c) 160 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*i + 5*i + 5*i + 2*i + 2*i**2 to j*i**2 + a + k*i and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + k**2 - k**2)*(2 - 3 + 3)*(14*k + 12*k - k).\nAnswer: -50*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 3*x - 40. Let u be p(15). Let v = u - -609. List the prime factors of v.\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 4*c = 79, 1707 - 2038 = -4*r - c for r.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 2*b - 3. Let y be j(5). What is the units digit of (21\/(-6))\/((-3)\/y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 898595488 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2*-11471\nAnswer: -22942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, -0.021, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**3 - 87810*m**2 + 1580062*m - 5705310 = 0.\nAnswer: 5, 13, 43887","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/13)\/b**(-2\/5)*(b**(-2)*b)\/(((b*b\/(b*(b*b*b**(2\/15)\/b*b)\/b)*b*b)\/b)\/b)*(b**2*b)**(20\/11)*b**2*b**(-3\/2) assuming b is positive.\nAnswer: b**(24203\/4290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 1669818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*-1 + sqrt(66))*5 + sqrt(66) - sqrt(66) - sqrt(66) - sqrt(66))\/sqrt(6).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1223 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(847) + -1 - sqrt(847))*1)**2*-5 - ((1 + sqrt(847) + 0 - sqrt(847))**2 + (2*(sqrt(847)*1 + sqrt(847)) + sqrt(847))**2)).\nAnswer: -105905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 5*q + 7. Let i be h(-8). Let r = i + 25. What is the units digit of ((-18)\/(-4))\/(4\/r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14379 is divided by 158.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 2*q**3\/15 - 11*q**2 + 108*q\/5 + 2701. Determine s, given that z(s) = 0.\nAnswer: 1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of h**6\/10 - 9*h**5\/4 + 13*h**4\/4 + 15*h**3\/2 - 21*h**2 + 3*h - 2. Factor p(f).\nAnswer: 3*(f - 14)*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68778607.\nAnswer: 41, 1677527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 632*h**2*u*v**3 + h**2 + 328*v**3 wrt u?\nAnswer: 632*h**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1691 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 12*s**3 - 2*s**2 + 8*s + 7. Let k(o) = 11*o**3 - 2*o**2 + 7*o + 6. Calculate -6*f(g) + 7*k(g).\nAnswer: 5*g**3 - 2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57\/10 + 13\/2. Which is the fourth smallest value? (a) 2\/3 (b) 4 (c) q (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-35)*(-8)\/6*(-190)\/5472*-12\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of 3*l**5\/20 - l**4\/3 - l**2. What is the second derivative of h(j) wrt j?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220012 - 100201222?\nAnswer: -22211210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14464090033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -156, -226, -302?\nAnswer: -384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1742864 is divided by 69714.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -526060 - -15062?\nAnswer: -510665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**8\/168 - g**7\/30 - g**4\/12 - 29*g**3\/6 - 102*g**2. What is the second derivative of n(h) wrt h?\nAnswer: 40*h**3 - 84*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1168*d = -1552*d - 1536 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 51984, 207917, 467766, 831531, 1299212, 1870809, 2546322?\n\"Answer: 51958*v**2 + 59*v - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-14))\/(((-18275)\/(-3612))\/(-425))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**4 + 0*n**4 + 2*n**2 - 3*n**4 + 2*n**3 + n to the form c*n**3 + q + a*n**4 + f*n + g*n**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kkkkkkkeekk.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -478 + 238 - 93*w + 240.\nAnswer: -93*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -247.294 - -247.3. Round a to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + 2*sqrt(325) + sqrt(325)*1*2 + 3 + -3)**2.\nAnswer: -31206 + 240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 4:24 PM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 979, 695, 235, -389, -1165, -2081, -3125, -4285?\nAnswer: -5549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 846979.4ng in tonnes?\nAnswer: 0.0000000008469794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4*((-2 + (sqrt(832) - sqrt(832)*-3) + 1 + sqrt(832))**2 + 4))*4.\nAnswer: -1280*sqrt(13) + 332876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and -4267860925135?\nAnswer: 4267860925134.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66190?\nAnswer: 2, 5, 6619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.54 + 0.06. Let c = -7.6 + u. What is the biggest value in -4, -2\/9, c, -1\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 65*u**2 - 3622*u - 259. Calculate z(-36).\nAnswer: -763","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/55286 and -85\/2.\nAnswer: 55286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3356 and 2264461.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and -1526984350?\nAnswer: 1526984354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 22 - 6 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 548*k**2. Let w(y) = y**2. What is w(i(f))?\nAnswer: 300304*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/1 - -1 - -1. Let g = j + 25. Calculate the remainder when g is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10122112 + -1221212010?\nAnswer: -2002111122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24794 is divided by 184?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {o: 2, u: 4, y: 4, c: 5}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 46, 5, 2, 3 in ascending order.\nAnswer: -1, 2, 3, 4, 5, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 24. What is the common denominator of u\/(-2)*(-4)\/(-18) and -107\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**3 - a**3 + 3*a**3)*(-1 + 7 - 3 + (35 + 3 + 20)*(-3 + 2 - 1)).\nAnswer: -678*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(24)\/(sqrt(2) - sqrt(2)*3))\/(sqrt(54)\/sqrt(729) - sqrt(6)))**2.\nAnswer: 81\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -23*y**2 + 5*y + 6. Let c be w(-4). Let p = -85 - c. Is 27 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 330.73 - -366.61. What is t rounded to the nearest 10?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4 = -1. Differentiate a**v - 5*a**3 + 0 + 7 - 2*a**3 with respect to a.\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 814.7747184 rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 d, and 1 k when three letters picked without replacement from knjyd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35682 and 114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 k when two letters picked without replacement from {k: 3, u: 4, n: 1, q: 2, s: 1, e: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 320638759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1539*j = -7*j + 125624 for j.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1010731248 to the nearest integer?\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*q = 5. Suppose 0*k + 55 = -q*k. Let n = 14 - k. Solve 0*x + n = 5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1*-2)\/(112\/(-226)) and 1\/2*(49\/(-14) - -5).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**3 - 4*s**2 - 2*s. Let h(w) be the first derivative of w**3\/3 - w**2\/2 - w - 4. Let v be h(-2). Let f = v - 7. Determine u(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4667 divided by -3?\nAnswer: -4667\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x + x**2 - 3 + 3 - 2*x**2. Let m be h(1). Suppose 4 = 5*t - u, 2*t - u - 4*u + 3 = 0. Sort t, m, 0.\nAnswer: m, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 90 + -60. Let i = 32 - f. Suppose -2*k = i*k - 1192. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4 + 0 + 1472\/23?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2229*p - 13599. Is a(21) a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 2*a + 101985. Suppose 0 = -r - 3*r + 3*u + 408009, 5*u = -r + a. What is r rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*q - 11*q = v + v - 40, 0 = -8*v + q - 111 - 13 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*q - 112*q + 147*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 355532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2.3792*-133\nAnswer: 316.4336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 503683.6 milligrams to kilograms.\nAnswer: 0.5036836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -7998104.\nAnswer: -1\/1999526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 39*b - 32. Determine l(19).\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 - -36. Suppose -w - 6 = -3*u. Let v(s) = 2*s**3 - 2*s**2 - 5*s + 2. Calculate the remainder when v(3) is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55110024?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -r**4\/4 - r**3\/3 + r**2\/2 + r - 1. Let n be i(-1). Let c = n + 0. Solve -2*t + 4*o = 22, c = -3*t - o - 5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1345694 and 41762?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a decade in years?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 23. Let y be (1 + m\/(-4))*0. Suppose 5*i - 90 = -y. Solve -4*j + 19 = 3*f, 0 = -2*f - 4*j + i - 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5421866 divided by -8.\nAnswer: 2710933\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -22*o + 53*o - 26*o - 13, 23 = -y + 4*o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89 - 89 - 3360*j**2 + 4824*j**2 - 1466*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76160.4ns to seconds.\nAnswer: 0.0000761604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 7. Let g be (-2 - -1) + -1 + 5. Let c be g*1*(-12 - -10). Let k be u(c). Solve -3*s = -4*s + k for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 7*l + 6*l - 9809, -4*x + 7832 = 3*l. What is the hundreds digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 8 + 19. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1478849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-1\/7)*t*t**7*t)**42\/((t**(-1))**(8\/5))**(2\/53) assuming t is positive.\nAnswer: t**(112906\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 379, 0.3, -2\/5, -5 in increasing order.\nAnswer: -5, -2\/5, 0.3, 0.4, 379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 9:30 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/807456 and 89\/3633552.\nAnswer: 7267104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*k - 2 + 1, 0 = -5*y + 3*k + 19. Let b be ((-1)\/(-3))\/(2\/930). Suppose -y*d - b = -10*d. Solve 2*v = 4*v - 5*n + d, v - n + 8 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**4 + b**4 + b**4)*(-4 + 2 + 1) - 10*b**4 - 27*b**4 + 11*b**4 - b + b**4 + b + 0*b**3 + 0*b**3 + 3*b**4.\nAnswer: -24*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18605344*s - 15608517.\nAnswer: -18605344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = s + 12. Let d(g) = -2*g**2 - 4*g. Let a(v) = -v**2 - 3*v. Let y(h) = s*a(h) - 3*d(h). Let m(o) = 98*o - 196*o + 100*o. Calculate y(m(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - r = 108 - 127, 42*s - 311 = -5*r for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -8*x + 3*x + 3*g, 5*x - 53 = 2*g. Suppose -12*o - 2*o + 238 = 0. What is the remainder when o is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n**5 - 17*n**4 + 7*n**3 + 55*n**2 - 12*n - 38. Let g(a) = 2*a**4 - a**3 - a**2 - 1. Let k(w) = -2*g(w) + y(w). Find j, given that k(j) = 0.\nAnswer: -1, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 5*j + 2. Suppose -13 + 5 = -l. Suppose -3*n - 7 = l. Let x be t(n). Solve -3*a - 5 = -4*q - 0, 4*a + x = 3*q for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**4 + 100*b**3 - 1672*b**2 + 10352*b - 14784 = 0. Calculate b.\nAnswer: 2, 12, 14, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 10:36 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1deb (base 16) in base 5?\nAnswer: -221114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 12*k**2 - 278*k + 979. Determine t(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-2*6\/(-12)). Suppose -5*d + 2*u - 4*u + 793 = 0, p*d + 3*u - 315 = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 70\/18 - 67\/(-603). Suppose 0*k + 27 = 3*k + 2*l, 5*l = -4*k + 36. Suppose 4*r = -10 + 22. Solve 3*o + 0 = -r*g - k, 0 = -2*o - y*g - 16 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 0.7, 0.5, 3, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 51*v - 1804. What is b(-64)?\nAnswer: -972","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2))\/((-183)\/732).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 - -36. Solve -2*n + 3*l + b = 0, l + 2*l = n + 4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-105*o**2 - 11*o + 13*o - 2*o)*(-3 - 4 + 3 + 7 + 2 + 6 + (1 - 1 - 2)*(5 - 3 - 3) - 3 + 0 + 1) to x*o + t + i*o**2 and give i.\nAnswer: -1155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -8*j - 14. What is the remainder when f(-14) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22387.6 to the nearest one thousand.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-78)*(-300)\/300.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v = 5*v + 30 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 5*v - 3653, 3*w + 132*v - 2746 = 127*v. What is the remainder when w is divided by 59?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 15*v - 10. Let n be f(-8). Let q = 87 + n. Suppose 4*h - q = 3*h. Calculate the lowest common multiple of 21 and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-4 + sqrt(63))**2 - sqrt(14)\/sqrt(18)).\nAnswer: -158 + 146*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 180269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4*3\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -6*i**2 - 12*i - 30. Let o be t(-3). Is 24 a factor of (o\/80)\/((-1)\/255)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) - sqrt(224)\/((sqrt(8) - sqrt(128)) + sqrt(8)) - sqrt(28))\/((-2*sqrt(28))\/sqrt(7)).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**2 - 64 - 263 - 40 - 124.\nAnswer: 4*o**2 - 491","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 1388?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24.1 + 24. What is the fourth smallest value in -2\/17, -5\/4, b, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52.3996531 - -52.4. Round c to five dps.\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 - 25*s**2 - 22*s + 48.\nAnswer: -(s - 1)*(s + 2)*(s + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 215, 212, 209, 206, 203?\n\"Answer: -3*j + 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 966669 to the nearest integer?\nAnswer: 983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2163 divided by -73?\nAnswer: 2163\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -3 (b) -13764 (c) 1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5\/4 of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 175462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-145)\/2*(-790)\/8. Let d = w - 7170. Find the common denominator of d and -47\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-28*y + 6*y**2 + 28*y)*(12*y - y**2 + 124*y - 366*y) to the form j*y**3 + t*y**4 + z + f*y + q*y**2 and give j.\nAnswer: -1380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23540517 divided by 1287.\nAnswer: -18291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/1*((-7)\/(-14))\/((-20)\/(-280))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 7\/6*r**3 - 5*r**2 - 3 + 4*r. Let m(p) be the first derivative of y(p). Differentiate m(v) wrt v.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*x - 7, d + 4*x = 6313. Let b = 9847 - d. What is b rounded to the nearest 100?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 149*f**6\/30 - f**5\/10 + 127*f**4\/4 + 394*f. What is the third derivative of t(b) wrt b?\nAnswer: 3576*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.232 - 0.432. Let k = -5.262 - -0.062. Let j = k + n. Which is the third smallest value? (a) -1 (b) j (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 694, -53, -4, -2 in increasing order.\nAnswer: -53, -4, -3, -2, 0, 694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24776, -49402, -73878, -98204, -122380, -146406?\nAnswer: -170282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 14*j**2 + j - 11. Let m be z(14). Suppose -m*f + 9 = -0. Suppose -5 = -a - f. Solve a*b = -4*n - 3 + 5, 4 = 4*b for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*g**4*l - 2*g**2*l**2 + 3*g**2*l - 95*g*l - l**2 wrt g?\nAnswer: -156*g**2*l - 4*l**2 + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l + 2. Let r(i) = -11*i - 5. Let s(g) = -8*b(g) - 3*r(g). Let y(w) = 53 - 12 - 100 + 3*w. Let v be y(21). Give s(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: a (base 14) to base 16\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -348194497483 + -0.05\nAnswer: -348194497483.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*m, 4*b - 3*m = 2987821 - 2987965 for b.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3547 + 2.3547. What is the fifth smallest value in j, 0.3, -0.2, -5, -0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gug when three letters picked without replacement from {g: 2, u: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64 and 12.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*h + 7*h + 377. What are the prime factors of h?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -235 (base 6) to base 10\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*c + 4*u - 2, 4*u = -c - 14. Let a = -3 + c. Suppose 3*r + a*n = -0*n + 9, -2*r + 24 = -4*n. Solve -14 - r = 4*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (262\/(-655))\/(43\/(-10)*4*1).\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ab when two letters picked without replacement from hahbhhhbb.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1211407.\nAnswer: 1211407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/17)\/n*n**7\/n*n*(n*(n\/n**(-5))\/n*n)\/n*n*n**(-2\/13) assuming n is positive.\nAnswer: n**(2852\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x**3 - 9*x**2 + 47*x - 49. Determine l(5).\nAnswer: -539","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 2:30 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -307588 + 3723561\nAnswer: 3415973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 696 = -4*u + j, j = -2*u + 348. Suppose -3*z = -0*f - 3*f - u, 3*f = -5*z + 330. Calculate the highest common divisor of z and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**4\/21 - 4904*i**3\/21 - 1503076*i**2\/7 - 1842771176*i\/21 - 282404682722\/21 = 0. Calculate i.\nAnswer: -613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -163 + l**2 - 7*l + 90 + 78. Calculate k(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 + j**2 + 0 + 8 + 18.\nAnswer: -2*j**2 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 44*s. Suppose -i + 5*i - 44 = -5*j, 4*j - 34 = -3*i. Let x(f) = 2*f - i*f + 4*f + f. What is x(u(n))?\nAnswer: 44*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/3 and 1340\/(-78) + (-4)\/26?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 865666396 a multiple of 2066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - -100001001100111101110101111?\nAnswer: 100001001100111101110110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20824, -20801, -20764, -20713, -20648, -20569, -20476?\n\"Answer: 7*k**2 + 2*k - 20833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (735 - 368 + 191)*(4*g + 4*g - 2*g) to the form a*g + q and give a.\nAnswer: 3348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 5*x + 3*f + 14, -3*x + 2 = 5*f. Suppose -x*y - 13 = -3*z, 4*y = -5*z - 15 - 6. Does 9 divide 130\/(-8)*1*z*4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -54*j - 390. What is the tens digit of q(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -835, -712, -519, -256, 77, 480?\n\"Answer: 35*d**2 + 18*d - 888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 3*k**2 - 7*k + 44. Give j(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/7)*f*f**(-2))\/((f*f*f**(-2))\/f)**(-11) assuming f is positive.\nAnswer: f**(-82\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 59 + 48 - 3*y**2 + 59 - 20 - 10. Let g(w) = 3*w. Determine u(g(v)).\nAnswer: -27*v**2 + 136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 1:44 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h - h + 5*h + 0*h. Let r(m) = 12*m - 27*m**2 - 12*m - 2 + 26*m**2 + 0. Calculate r(q(d)).\nAnswer: -d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -980*w**6 + 12*w**5 + 34*w**2 + 6*w + 6. Let t(c) = -2*c**6 + 2*c**5 + c + 1. Let n(b) = 6*t(b) - v(b). Find the third derivative of n(g) wrt g.\nAnswer: 116160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 2*g + 3*g)*(13*g - 102*g**2 + 204958 - 204958).\nAnswer: -102*g**3 + 13*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*x**4 + 116*x**4 + 46*x**4)*(-4 - 1 + 4)*(4 - 4*x - 4) + x**5 + x**5 - 3*x**5.\nAnswer: 695*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*k - 2108 - 836 = 1106. Solve -36*y = -k*y - 24 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143757792443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1, 689 in decreasing order.\nAnswer: 689, 1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -16901.7 to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/291 (b) 0.4 (c) -0.04 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*i + r + 3 = 0, -2*r = -i + 2. Solve -1 - i = s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5394516*m**2 - 2697253*m**2 + 19*m**3 - 2697263*m**2.\nAnswer: 19*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4611 and 319.\nAnswer: 50721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(16\/7)*w)\/(w*w**(6\/19)*w) assuming w is positive.\nAnswer: w**(129\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 12:23 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 320 and 1440?\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 488 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from wgwwgwggggggwggwwgww?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/51*6\/(-15)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 7:50 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*y + 19806 = 23825 + 192373. Calculate the greatest common divisor of 56 and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 4*d**2 + 7*d + 12. Let f be c(-5). Suppose -f*n - n + 78 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(-13)*(-20)\/16*(-36)\/12?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130481.\nAnswer: 13, 10037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 44 = -4*x, -2 + 0 = -x - 2*n. Suppose 6 = 3*f, 4*f = 2*u - u + x. Solve 3*o + u*o - 6 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 362 divide 2099962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 21 = 2*o, 0*o - 4*o - 5*y = -9. Suppose -5*u - 3*n = -o, -u + 0*n - 2 = -n. Is u > -1\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/7 (b) -2\/39 (c) -4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2227361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1165*o**3 + 9*o*s + 379493*s wrt o?\nAnswer: 3495*o**2 + 9*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107014 is divided by 2803.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1239 and 767?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + 41637*c**3 + c - 905183*c**3.\nAnswer: -863546*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5172 - -2983. Let l = 2011.8 + h. Round l to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0 = -2. Let c = 8 - g. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffffffffffyffff. What is prob of picking 2 f and 1 y?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*p + 3*y - y, 8 = p + y. Suppose 3*l = 4*l - p. Suppose -l*g + g = -4. Are g and 17 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -201 + 1410\/7. Let l = -2\/21 + c. Let p = 756 - 755. What is the third biggest value in p, -1\/2, l?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63586969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3768 times 45.7\nAnswer: 172197.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156543 is divided by 446.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 8*r. Let m be d(8). Solve 2*l - k - 4*k = -1, m = 2*l + 5*k + 11 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 27*z**2 + 13*z + 1. Suppose 23*t = 16*t - 14. Is u(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - 0. Let b be 3*2\/3 - j. Suppose b*k + 14 = g - 21, g - 25 = k. What is g rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106445238?\nAnswer: 2, 3, 751, 23623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 35*v**2 - 12*v - 32. Give i(-3).\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 1)*(1 - 3). Suppose 5*y + m - 53 = 0, -l*m = -3*m + 3. Does 3 divide ((-6)\/y)\/((-1)\/5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q - 3*q - 7*q + q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1302 - 2*b**2 - 1302)*(0 - 18*b**3 + 0).\nAnswer: 36*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -11*k**6\/15 - 7*k**3 + 9*k. What is the second derivative of q(b) wrt b?\nAnswer: -264*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 94 - 94.1. What is the closest to l in -2, 5\/2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13043030 is divided by 1467.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) 0.2 (c) 2\/7 (d) 2\/275\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + -39. Let b = -13 - l. Solve -5*y + 40 - 15 = 0, -b*y + 14 = 4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a year?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y**3 + 8*y**2 + 6*y - 5. Let j(c) = 7*c**3 - 15*c**2 - 11*c + 9. Determine 6*j(n) + 11*q(n).\nAnswer: -2*n**3 - 2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 146474 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2046.05 - -2045.839543. Let g = j + 0.211. Round g to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/428, -4\/3, 0.35 in ascending order.\nAnswer: -4\/3, 5\/428, 0.35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 10*u**2 + 9*u + 19. Let y(n) = n - 17. Let r be y(9). Is 25 a factor of v(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 4:19 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-3))\/(3*(-12)\/270)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h - 8469226 + 8469226.\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2940097 milligrams in micrograms?\nAnswer: 294.0097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -101.39999375 + 101.4. What is x rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27591065?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**3\/5 - 42498*g**2\/5 - 3248652*g\/5 + 21021192\/5 = 0. What is g?\nAnswer: -82, 6, 14242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 2*j + 44. Let w = j - 30. Suppose -3*c = -5*c + 56. What is the greatest common divisor of c and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**3*i + 2*h**3 + 3*h**2 + 25*h*i wrt h.\nAnswer: -18*h*i + 12*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140071 = 26*h - 141085 for h.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 729213590764\nAnswer: -729213590764.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -11. Which is the nearest to -4? (a) -3 (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((((-9)\/(-75))\/((-1176)\/560))\/(40\/(-25)))?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 425*v**2 + 4*v + 12. Let f(r) = 45474*r**2 + 429*r + 1287. Calculate 4*f(p) - 429*o(p).\nAnswer: -429*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46*n**2 + 316*n wrt n.\nAnswer: 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mxlmmlmmmllx. Give prob of sequence lxlm.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2285415*n**2 - 2285410*n**2 + 1437*n**3 - 1439*n**3.\nAnswer: -2*n**3 + 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/(-36))\/((-535)\/428). What is the closest to -1 in -5, 1.4, k, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.7621 + -0.0579. Let h = u - -5. Let j = 0.1800007 - h. Round j to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/6*b**2 - 5*b - 29\/6 = 0.\nAnswer: -29, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 35*f + 136. Calculate the least common multiple of 88 and l(27).\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -466473 divided by -229?\nAnswer: 2037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 8:51 AM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 16\/616*(2 + 5)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(4 + 0) + (-3)\/(-5). Which is the closest to 0? (a) -0.2 (b) 0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(2 + 2))\/(2\/(-10)). Let f be -1 - (-1 - (1 + 1)). Sort 0.3, z, f.\nAnswer: z, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -6 (c) -4\/13 (d) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 2:34 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1749997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -342.595+270\nAnswer: -72.595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 10:16 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-10) + (-41)\/2. Let q = -14 - h. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**14\/d)\/(d\/d**(-12)*d) assuming d is positive.\nAnswer: 1\/d","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.2 + 12. Let a = -3 + x. Let r = -12995 - -12999. What is the third biggest value in a, r, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 135921*z**6 - 5*z**3 - 11*z**2 - 2092*z + 2 wrt z.\nAnswer: 16310520*z**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 356622493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 806*f + 1332. Let m(z) = -827*z - 1332. Let j(g) = -2*a(g) - 3*m(g). Differentiate j(s) wrt s.\nAnswer: 869","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -11*a - 480 - 445 + 925 - 5*a. Let f(y) = 2*y + 1. What is f(t(p))?\nAnswer: -32*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 15*s - 7*h, -71*h - 72*h + 23 = -s - 222*h + 74*h for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/(-375)*33\/(-11))\/(21\/(-45))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -591, -590, -589, -588?\nAnswer: -587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/12)\/u)\/(u\/(u\/(u*u**(-1\/12)*u))))**(-36)\/(((u*u**(1\/7))\/u**5)\/((u**4*u)\/u*(u*((u*u**(5\/3))\/u)\/u)\/u)) assuming u is positive.\nAnswer: u**(2321\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1228 is divided by 29.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3498, -3712, -3926, -4140?\n\"Answer: -214*m - 3284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**2 + 33*b - 43. Let i(r) = -3*r + 1. Let d(g) = 3*i(g) + s(g). Find k, given that d(k) = 0.\nAnswer: 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvvvvojvmmommvavmv. What is prob of picking 1 j and 1 m?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*2*(sqrt(117) - (sqrt(117) + (sqrt(117)*-3 - sqrt(117)))*4)\/(sqrt(108)\/(sqrt(12)*-1))*-4*3.\nAnswer: -1872*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -8 + (7 - (15 + -8) - -6 - -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (-36)\/(-21)*84\/8. What is the highest common divisor of 30 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114230642 less than 96.4?\nAnswer: 114230738.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92580 divided by -349.\nAnswer: 92580\/349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2221*g**3 - 57*g**2 - 198*g**2 + 2224*g**3 + 1 to q*g**3 + v*g**2 + o + h*g and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4bc819 (base 14) to base 13\nAnswer: -704336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -25. List the prime factors of (-3)\/(-1) + i + (73 - -3).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3177*b**2 - 7*b**3 + 4 + b + 3175*b**2 + 9*b**3 in the form o*b**3 + f*b + t + n*b**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s*s\/s**10*s)\/s*s**(-1))**(1\/36))**(27\/7) assuming s is positive.\nAnswer: s**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5+-9.6807\nAnswer: -14.6807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/8, 0.012, 0.4, -136?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + o**2 + 3. Suppose 19*l = 11*l. Give n(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64\/(-16)*(21\/105)\/(38\/5).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -1533493.\nAnswer: 3\/1533493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (5506735 - -19)\/22 - (-5 - -5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {q: 7, v: 3}?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14557506121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*o**3 + 2438*o**2 - o + 3*o**4 + 0*o - 2440*o**2 + 1 as a + s*o + n*o**2 + l*o**3 + x*o**4 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 341797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 7*h + 5. Suppose -5*s = -4*x + 40, 3*x + 3*s = -s - 1. Determine f(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 10*t**2 + 9*t - 8. Suppose 0 = -3*u + 7*u + 5*l + 31, 0 = u - l + 10. Calculate c(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 7*s**2 - 9*s + 9. Determine u(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 5*z - 274, -7*p + 338 = -2*p + 4*z. Is 54 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1844.\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minus 20389291578?\nAnswer: -20389291569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-108)\/1332 - (-25425)\/5550. Factor -1\/4*h**2 - x - 11\/4*h.\nAnswer: -(h + 2)*(h + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3538 + 18*d - 1776 + 19*d - 1766 + 7*d - 39*d.\nAnswer: 5*d - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 698515 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, v: 1, b: 1}. Give prob of picking 2 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + c. Let b(n) = -135*n**2 - 2*n - 1. Let g(o) = -b(o) - 2*z(o). Let p be g(1). Let d = -41 + p. Is d a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -17977?\nAnswer: 17973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 42492433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -10, u - 2*u - 7 = j. What is the second biggest value in 0.06, -1, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*q**3 - 1 + (-5*q**2 + 2*q**2 + q**2)*(-q - q + 8*q))*(-7*q + 2*q - q).\nAnswer: 84*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 151*d**2 - 300*d**2 + 147*d**2 + 3*d**5 + 3*d**4 + (2*d + 32*d - 13*d)*(-5*d**4 + 3*d**4 + 4*d**4).\nAnswer: 45*d**5 + 3*d**4 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 3*q - 134. Suppose -5*y = 4*n - 485, -11 = n + 5*y - 151. Let r = n - q. What are the prime factors of r?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -x**6\/180 - 49*x**5\/90 - 667*x**4\/36 - 529*x**3\/3 - 2*x**2 + 141*x. Factor f(n).\nAnswer: -2*(n + 3)*(n + 23)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (99\/(-6))\/11*2\/33?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a year in months?\nAnswer: 81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1210)\/(-170) - 30\/255.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -50384471 or -50384472?\nAnswer: -50384471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of s**7\/2520 - 11*s**6\/720 + s**5\/8 + s**4\/12 - 3*s. Let j(t) be the third derivative of n(t). Does 2 divide j(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2367*l = 2366*l + 16, l - 28 = 3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-4*(sqrt(2) - (sqrt(2) + sqrt(2) + -4)) + (sqrt(20) + (sqrt(20) - (3*sqrt(20) - sqrt(20)))*-6 + sqrt(20))\/sqrt(10).\nAnswer: -16 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2, -108, 0.5, 3, -2\/43 in increasing order.\nAnswer: -108, -2\/43, 0.1, 0.5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 178073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and -1524?\nAnswer: -16764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -408 + 771. Let u = l - 223. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 3*z - 3, -3*z = -3434*a + 3443*a - 39 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 72*q - 2928. Let l be c(29). Let v = -4 + 2. What is the tens digit of l + -4 + v + 118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 39 (b) 0.036 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.4 + 3. Suppose 4*g = 16*p - 19*p + 28, -2*p - 5*g = -21. Put u, p, 0.2 in increasing order.\nAnswer: u, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 12. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1380\/11 greater than -126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114a6 (base 11) to base 12.\nAnswer: 9710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 100 - 100.00018. What is k rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57720 + 57737. Let w be (-6)\/4*(-8)\/6. Let t be 2 + 0 + w\/(-2). What is the greatest common divisor of v and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + 2*n**2 + 2*n - n**2 - 3*n**2 + n**2 + (3*n - 4*n + 0*n)*(-2*n + 2*n - 2*n) - 80 - 29*n**2 + 25*n**2 + 2*n**2.\nAnswer: -n**2 - 80","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 1, -1093, -4.\nAnswer: -1093, -4, 1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 + 3 - -5 - -5) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 28828.23139 from -18382.\nAnswer: -47210.23139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 4.73391ug?\nAnswer: 0.00000000473391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14567, -29319, -44075, -58835, -73599, -88367, -103139?\n\"Answer: -2*i**2 - 14746*i + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2503548, 2503521, 2503486, 2503443?\nAnswer: 2503392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10002201020 (base 3) to base 10\nAnswer: -61026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*r - 45 = 3*b - 146*r, -3*r - 8 = -4*b - 6*r + 19 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -303303223020 - -112?\nAnswer: -303303222302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 463 - 767. Let f = 21 + o. List the prime factors of -4 - (0 + (f - 0)).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -112979\/15 + 7532. Let z(p) be the second derivative of 0 - 29*p - 98\/5*p**2 - 28\/15*p**3 - d*p**4. Suppose z(s) = 0. What is s?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(5616) - sqrt(5616)*1 - sqrt(5616))*1)\/(sqrt(3) + sqrt(21)\/(sqrt(7)*-2) - (sqrt(3) + -3*sqrt(9)\/sqrt(3))) + -4.\nAnswer: -48*sqrt(13)\/5 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2870*b - 197001 = -12251*b for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c + 7. Let u(m) = -7*m - 42. Let k(a) = 6*f(a) + u(a). Let p(y) = 25*y. Give p(k(i)).\nAnswer: -325*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (2 + -1 - 3). Suppose u*t + 0 = -12. Let m(i) = 57. Let l(b) = -31. Let z(r) = -11*l(r) - 6*m(r). Let q(k) = k + 2. Calculate t*z(y) - q(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**2 - 5. Let c(o) = -3*o**2 - 8. Let k(z) = -5*c(z) + 8*s(z). Let a(y) = 11*y + 10*y - 24*y + 5*y. Calculate a(k(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32\/5538609 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 - 26. Let x = y + -15. Suppose -o + 5*o = -4*g + 24, -26 = -o + x*g. Solve -o - 1 = 3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -w - 3, 0*w - 3*w = -2*o - 6. Let p = -3 - 77. Let y = 81 + p. Solve -1 = -2*z + 3*u, 0 = z - w*z - 2*u - y for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-1)*j)**(-11\/7)\/(j\/((j**(-1\/6)\/j)\/j))**(-2\/11))**25)**(-7) assuming j is positive.\nAnswer: j**(-3325\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-364*(1296\/(-252))\/36)\/1.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.112857262 and 2.\nAnswer: 1.887142738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(1800\/5)*(-2)\/(-1))\/((-1)\/(-14)).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*q = 44*q - 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 295.29 - 154.08. Let u = 134.6 - d. Round u to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-9577)\/(-1220) + 2\/(-8)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -25*x**2 + 176*x + 197. Let j be g(8). What is the fifth smallest value in -0.03, 6\/7, -1, j, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 740*h + 456*h - 12001 = 64543 for h.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 4:22 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*o - 2. Let r be 4 + -26 - o*4. Is -69\/4 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -25, 90, 175, 212, 183, 70, -145?\n\"Answer: -3*r**3 + 3*r**2 + 127*r - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2520907550 to the nearest integer?\nAnswer: 50209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 b, and 1 j when four letters picked without replacement from {z: 2, u: 4, j: 2, b: 1, a: 3}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -a44507 (base 13) to base 2\nAnswer: -1110101000101110001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10417 is divided by 1479.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, -140, -206, -268, -326, -380, -430?\nAnswer: -476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 92 + 747 = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 9*n**2 - 21*n + 10. Let v be m(-11). Let a = v - -35. Is 2 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 188639 or 3206855\/17?\nAnswer: 188639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + r. Let f(i) be the first derivative of r*i**2 + 0*i**3 - i - 1\/5*i**5 - 2 + 0*i**4. What is the first derivative of f(q) wrt q?\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -480*y - 48 = -274*y - 222*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 3*v**2 - 8*v - 88. Let q be n(-5). Find the third derivative of -9*b**q - b**2 + 1317 - 1317 - 261*b**3 + 48*b**3 wrt b.\nAnswer: -1278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -2*o, 3 = 3*o + 2*i - 2. Let h(b) = b**2 + 8*b + 10. Let c be h(-7). Suppose -2*x + 4*y + 12 = 0, -c*x + x - 2*y = 0. Is x not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 10*o - 13*o - 22, 4*o + 1 = -a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 103.036067 rounded to 1 dp?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34244 - -34265. Suppose x + 3*x - 2268 = 0. What is the greatest common factor of x and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3452624 to the power of 1\/2, to the nearest integer?\nAnswer: 1858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 253368.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 7*w + 10. Let o be z(-8). Let j(d) = d**2 - 8*d + 12. Let k be j(8). Let f be (o\/(-4))\/((-2)\/k). Solve -f*g = -2*g - 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -57*g**2. Let c(v) = v**2. What is c(f(a))?\nAnswer: 3249*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 1:37 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 - 2*g + 6. Suppose h = 3 + 1. Let j be i(h). Let d = 19 + j. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 132 - 48. Suppose -750 = -46*x - 4*x. What is the remainder when v is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1140 - 113555?\nAnswer: -112415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 575921*((2 - (-1645)\/410) + -6). Let j = c - 7023. Find the common denominator of 79\/8 and j.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2508*n + 300510. Calculate m(-120).\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*j = 70 + 86 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 199 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 + -22.27. Let d = 0.07 + h. Let f = -502\/5 - -100. Sort f, 1, d in decreasing order.\nAnswer: 1, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.1103547*5.\nAnswer: 30.5517735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 2 + (-3 - (0 + 0))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 481 - 489. Let x(o) = 4*o**2 - 2*o - 3. Let u(h) = -h**2 - h + 1. Let y(d) = -5*u(d) - x(d). Give y(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooeeoooooooeoo. Give prob of sequence ee.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 11*k**2 + 1. Let n be b(-1). Let u be ((-3)\/6)\/((-1)\/n). Let g be (-3 - 315\/(-85))*1173\/138. Calculate the greatest common divisor of g and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hjssaoj. Give prob of sequence ossj.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w + 3. Let d(c) = c**3 + c**2 - 1. Let l(p) = -6*p**3 + p**2 - 3*p. Let y(s) = 5*d(s) + l(s). Let v be y(5). Calculate k(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -1 - (-16 + (7 - 2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2125 and 5282875.\nAnswer: 89808875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 13\/9 (b) -15 (c) 0.5 (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -84224 or -84205?\nAnswer: -84224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-2))\/(30\/(-1080)). What is the remainder when 189 is divided by (15\/((-405)\/72))\/((-1)\/t)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1541 + -422. Does 34 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 150 divided by -194\nAnswer: -75\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -1, 1\/5, 1772, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.279875 and -0.1.\nAnswer: 0.179875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5*q - 14. Let m be s(-10). Suppose 0 = 11*z - 25*z - 910. Let h = z - m. Is -5 >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 216.29229 months to millennia.\nAnswer: 0.0180243575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18.4 and 7?\nAnswer: -128.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -22. Let y be w + 3 + 11 + -3. Suppose 6*d + 12 = y*d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 575 and 300.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006848 rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -58, -85, -124, -175, -238, -313?\nAnswer: -400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 7*x**2 + 2*x - 6. Let o be t(5). Let i be 6\/(-21) - o\/14. Solve 0 = -5*d - 2*z + 13, 0*z = -i*z + 12 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 61, 102, 155, 220, 297?\nAnswer: 386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 161366131 + 3?\nAnswer: 161366134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 15*m**2\/2 + 36. Let o(q) = -q**2. Give o(a(d)).\nAnswer: -225*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 3*k + 24 + 31, -x + 3*k + 11 = 0. Let i(m) = -m**2 - x*m**2 + 3*m**2. Let u(a) = -16 + 16 + 2*a**2 - 8*a**2. Give i(u(y)).\nAnswer: -324*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 210 and 3815868?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*m**5\/4 + 130*m**4 + 2329*m**3\/4 - 415*m**2\/2 - 413*m - 98 = 0. Calculate m.\nAnswer: -14, -7, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 593263711 to the nearest integer?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - -9)\/((-4)\/(-8)). Suppose y = -5*u + 89. Let i = 24 - u. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (5 - (1 - -8)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u. Let q(n) = -2*n. Let m = 12 + -9. Let s(a) = a. Let x(i) = m*s(i) + q(i). Give x(g(y)).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128255 is divided by 235?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 111?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -11. What is the highest common factor of o and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + (sqrt(343) + 0 - sqrt(343))) + 1 + sqrt(343) + -1 + -2)*5.\nAnswer: -10 + 35*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5 = 20. Let p(g) be the third derivative of -g**5\/60 - 5*g**4\/12 - 7*g**3\/3 - 26*g**2 - 7*g. What is the units digit of p(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -88910.60942 + 88707.61. Let w = p + 203. What is w rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -16.1. Let a = -0.2314 + 1.4314. Let h = a + k. What is the third smallest value in 3, 1, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jvv when three letters picked without replacement from vjvv?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2. Let o be q(1). Solve -5*a = -5*l - 15, a + 0*l = -l + o for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(5)*-2 - (sqrt(5) + sqrt(45))*5) + 0 + sqrt(20)\/sqrt(4) + 0 + sqrt(5)*1*-4)*-1)**2.\nAnswer: 3125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, m: 2, a: 4, j: 3, b: 2, f: 1}. Give prob of sequence mbb.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -0.868855.\nAnswer: -1.868855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2248, -2240, -2232, -2224, -2216, -2208?\n\"Answer: 8*n - 2256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 16. Suppose a*s = 3*s + 24. Solve -u + s = 5*f - 2*f, -u + 1 = -2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.42 - -5.28. Let y = 1.3 + l. Is -2 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 46056?\nAnswer: 46056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o + 889. Let q(p) be the first derivative of p**2 + 54. What is q(u(y))?\nAnswer: -4*y + 1778","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zqzzzzzzzzzz. What is prob of sequence qz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 2)*(218*s - 62*s - 38*s) - 2*s + 2 - 2)*(-1 + 5 - 3).\nAnswer: 234*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31238*f*u**4 - f*u**2 - 3*f*u - 2*f - 33*u**5 - 203*u - 220 wrt u?\nAnswer: 374856*f*u**2 - 2*f - 660*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*f**2*g*w**2 - 390723*f**2*w**2 + 2*f*g*w - 2009*f + 2*g*w**2 - g*w - 5*g - w**2 - 3*w wrt f.\nAnswer: 20*g*w**2 - 781446*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -17. Let p = 61\/503 - 44953\/51306. Let o = -3\/34 - p. Which is the closest to 1? (a) -0.3 (b) o (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -0.015268.\nAnswer: -0.0061072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26398\/15 + -8524\/5. Let d = n - 7613\/120. Find the common denominator of d and 24\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/4)*(o**(-11)*o)\/o)**(-10) assuming o is positive.\nAnswer: o**(225\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, -11, 15 in descending order.\nAnswer: 15, -11, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13983311 to the power of 1\/3, to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -18\/67 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1932\/299)\/(-28))\/((-1)\/1)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-5))\/(78\/(-195)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.12 - 0.046. Let m = d - 0.07509. What is m rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1216737509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 14911\nAnswer: 1\/14911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 3*f**2 - 1. Let x be t(-2). Let q(a) = -4*a + 3. Let y(m) = 7*m - 5. What is x*y(s) + 5*q(s)?\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 5*i - 84 - 3, -20 = 4*i. What are the prime factors of x?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23689211 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -1, 38 in descending order.\nAnswer: 38, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*h**2*q*x + 23382794*h**2*q - 2544*h**2*x - 22*q*x wrt x.\nAnswer: -6*h**2*q - 2544*h**2 - 22*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243145 is divided by 24314?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 628 = 5*z + d, 5*d - 262 = -2*z. Let j = 322 - z. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**3 - 2*i**3 - i**3 + (3*i - 30*i + 11*i)*(-i + 7*i + 3*i**2 - 3*i).\nAnswer: -50*i**3 - 48*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -1406025009*q**5 + 5624250024*q**4 - 5624699992*q**3 + 599968*q**2 - 16*q = 0. Calculate q.\nAnswer: 0, 2\/37497, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 711935 is divided by 216.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -73.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 8 = -y. Suppose -139*z + 294*z - 124*z = 93. Solve -28 = -5*k - z*h, y*k = 5*h + 3 + 12 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*d**5 - 1257*d**4 + 43680*d**3 + 14700*d**2.\nAnswer: 3*d**2*(d - 70)**2*(3*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 1627.7.\nAnswer: -1625.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7279.5 + 7280. Which is the nearest to -0.14? (a) -5 (b) k (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -64325, -64269, -64183, -64073, -63945, -63805?\n\"Answer: -f**3 + 21*f**2 - 64345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33257*x - 80 = 33273*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -7006*l + 70022. Determine t(10).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*b - 90 = b, 0 = -b + 5. Does 3 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0*z\/z**(-3\/8))\/(z*z*z*z**(1\/3))**(10\/9))**33 assuming z is positive.\nAnswer: z**(-5533\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g\/(g**(2\/5)\/g)*g))\/((g**(-4)\/g)\/g*g))\/(g*g**1)**(-6\/25)*(g\/((g**(-2\/5)*g)\/g)*g*g*g**0)\/(g**1\/g*g)**(2\/75) assuming g is positive.\nAnswer: g**(619\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -733, 231, -0.3, 0.5 in increasing order.\nAnswer: -733, -2, -0.3, 0.5, 1, 231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -5429.3 to the nearest ten.\nAnswer: -5430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10900 divided by 8.\nAnswer: 2725\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 5*s - 7. Let n(u) = -5*u**2 + 25*u - 24. Let f(p) = -p**2 + 6*p - 6. Let q(h) = -9*f(h) + 2*n(h). Let d = 17 + -11. Determine d*t(y) + 7*q(y).\nAnswer: -y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 2*r - 3 + (0*r - 5*r + 9*r)*(-1 - 1 + 1) + 2 - 2 - 2*r + (3 + 6 - 6)*(-88*r - 162*r + 35*r) - r - r + 4*r in the form m*r + h and give m.\nAnswer: -651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0478 + 36.0478. What is the closest to -12 in -4, b, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/(y*y*(y**(2\/15)\/y)\/y)*y*y*y)*y*y\/y**(2\/15)*(y*y**(-2\/5))**(-2\/179) assuming y is positive.\nAnswer: y**(-901\/895)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 698 - 122 = 0. Let g be (-32)\/o + 389\/6. What is the greatest common divisor of 65 and g?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6800, 6790, 6792, 6812, 6856, 6930, 7040, 7192?\n\"Answer: d**3 - 17*d + 6816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 143740 to the power of 1\/2, to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 6*u**2 - 1438*u - 4051. Calculate s(243).\nAnswer: 809","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 5*u - 9. Let d(n) = -6*n + 10. Give 3*d(i) + 4*r(i).\nAnswer: 2*i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 - 1 - (-1710 + 1660).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 77836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4334303 (base 7) in base 10?\nAnswer: -529742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.8576 times -0.02\nAnswer: 0.017152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 165 and 4665885.\nAnswer: 51324735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/61 and 5\/50*-82 + -2.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of l**6\/30 + 9*l**5\/5 + 293*l**4\/12 - 55*l**3 + 4023*l. Determine k so that o(k) = 0.\nAnswer: -22, -15, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 11*n**2 - 11*n - 70. Determine y(-11).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -a**6\/120 - 5*a**4\/24 - 5*a**3\/6 - 17*a**2. Let z = 0 + 3. Let c(p) = 3*p + 3. Give z*o(j) + 5*c(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mo when two letters picked without replacement from {y: 1, m: 2, o: 1, l: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 8605 - 8605 - 75*g**4 + 2*g**5)*(-1 + 2 - 2)*(-1 + 1 + 1).\nAnswer: -2*g**5 + 75*g**4 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1879448507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 2*u + 67 - 52, 0 = -a - 3*u - 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - f + 9. Let m be p(0). Let i = 8 - m. Let o be (-6)\/(-2) + (-24)\/96*16. Which is the nearest to i? (a) 0.1 (b) o (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1306 and -762882.\nAnswer: -764188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 2659241204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39333284?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(-270))\/(1\/5). Let u = 2.9 + 0.1. Let v = 4.1 + -0.1. Put t, u, v in decreasing order.\nAnswer: v, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 8*g - 267. Let y be m(33). Sort y, 4, -5, -4, -21.\nAnswer: -21, -5, -4, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 2 + 4. Suppose y + w = 6*w + 3, 0 = -3*y - b*w + 26. What is the greatest common divisor of y and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-594)\/(-140) + 52\/(-20) + 2 and 45\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/20)*q**(-1\/4))\/(q**0)**(2\/69) assuming q is positive.\nAnswer: q**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 4, -4.\nAnswer: -4, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 54477, 54395, 54257, 54063, 53813, 53507, 53145?\n\"Answer: -28*l**2 + 2*l + 54503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) - 2*sqrt(130)*-6) + (1*sqrt(130)*-5 - sqrt(130)))\/((sqrt(90) - (sqrt(90) + -1*sqrt(90) + sqrt(90))*-3)\/(sqrt(36)\/sqrt(4)*-3)).\nAnswer: -21*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 109 - 25. Calculate the remainder when 62 is divided by h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z - 12 = 11*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -g**8\/28 - g**4\/12 - 2*g - 3. Let d(t) be the first derivative of f(t). What is the third derivative of d(i) wrt i?\nAnswer: -240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -68 + 67. Let o = -1213\/9 + 135. Let g = 874 - 873.6. What is the second smallest value in g, a, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 6*h**3 + 9527. Let m(t) = 0 + 0 + 4*t**2. What is j(m(d))?\nAnswer: 288*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 152640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 11*b**2 - 4*b + 2. Let a be s(2). Suppose 0 = a*y - 43*y + 14695. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-114)\/76*8\/9?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of w**2 + 0 + 10\/3*w**3 + 175\/4*w**5 + 38*w - 20*w**4 + 625\/24*w**6. Let z(n) = 0. Calculate n.\nAnswer: -1, 2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 4, 7*p - 6*s = 5*p + 7 + 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 11:38 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/40 and 83\/12.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of 2*k**3\/5 + 12*k**2\/5 + 21. Factor y(p).\nAnswer: 6*p*(p + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -7030, -0.2.\nAnswer: -7030, -0.4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10949.2 - 76896.2. Let n = y - -65947.199978. Let o = n - 0.2. Round o to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -25 + -12e0d?\nAnswer: -12e33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21739219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2\/7, 2\/1029 in descending order.\nAnswer: 2\/7, 0.1, 2\/1029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 7*y + 6. Suppose 8*b - 60 = 18*b. Let g(s) = -5*s + 13 + 12*s + 8*s. Let j(t) = b*g(t) + 13*i(t). Let f(r) = -24*r**2. Give j(f(c)).\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from abbbojbbojajbao?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4660180.\nAnswer: 2, 5, 7, 33287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - z**2 - z + 11. Suppose 3*o - 5*t = 20, 2*o + t + 2*t + 12 = 0. Determine l(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 1817 = 757. Let z = 2995\/7 + a. Is -1 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16.2 + 16. Sort b, 0.1, -1 in ascending order.\nAnswer: -1, b, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 = -d + h + h, 0 = 3*d + h - 536. Suppose -d = 5*c - 503. Let i = c - 45. What is the highest common divisor of i and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4*(2 + sqrt(68))**2)*-2 - -5*(sqrt(85)\/(-2*sqrt(5)) + 0 + sqrt(17) + 2).\nAnswer: -574 - 123*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 10995550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2349.88597314 - 4.1.\nAnswer: 2345.78597314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-70)\/25*100\/(-70). Solve -12 = 5*s - i, 9*s - 4*s + 2 = -j*i for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -106, -113, -124, -139, -158, -181?\n\"Answer: -2*b**2 - b - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g - 4. Let c be m(-4). Suppose -3*a + 2 = -c. What are the prime factors of -4*(1\/a + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-25)\/4 + (-2)\/(-8). Let g(x) = 38*x - 53*x + 3*x**2 + 23*x + 3 + 1 - 11. Let d(i) = 4*i**2 + 9*i - 8. What is r*g(a) + 5*d(a)?\nAnswer: 2*a**2 - 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - ((20 - 23) + 10 - -89).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -76*n - 3*n**2 + 16 + 76*n - 6 wrt n?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 949*r**2 + 4 + 1269*r**2 - 1910*r**2 as z + w*r + k*r**2 and give k.\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-3)*(-4 + 1). Suppose 3*j + 14 = -4*z, 0*z + 3*z = -15. Let v(d) = 1 + 3*d**j + 0*d**2 - 3*d**3 - d**2 + 12*d**3 - 2*d. What is v(w)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**5\/3 + 29*j**4\/3 + 307*j**3\/3 + 489*j**2 + 1080*j + 900 = 0.\nAnswer: -10, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 9 + (-1 - (-5 + 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2300322 (base 4) to base 15.\nAnswer: 354c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, -11, -29, -47, -65?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 1019*z - 8. Is h(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 82*p**2 - 1 - 42*p**2 - 2*p**3 - 43*p**2 - 2 as i*p**3 + m + k*p**2 + u*p and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**3 + 21*s**3 - 3*s**3)*(-s + s - s + (1 - 3 + 6)*(-3 - 2*s + 3) + s - 4 + 4 + (-2 + 2 - s)*(3 - 4 + 0) + 2*s + 4*s - 5*s).\nAnswer: -114*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 334 + 6953*z - 2367*z - 2424*z - 8*z**2 - 3496*z.\nAnswer: -2*(z + 167)*(4*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**5 - 45*q**4 - 125*q**3 - 135*q**2 - 50*q = 0. What is q?\nAnswer: -5, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-171)\/(-18) + -10 + 4. Let f(d) be the second derivative of 0 + 0*d**4 - 3*d - i*d**3 + 0*d**2 + 2\/5*d**5. Find the second derivative of f(k) wrt k.\nAnswer: 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -1. Let w(k) = 168*k - 21. Determine 21*v(q) - w(q).\nAnswer: -168*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4195189937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is ((18\/4)\/(588\/48))\/((-240)\/(-840))?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3370590 and 180?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*m - 81*m = -81. Calculate the remainder when 45 is divided by m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1212908807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 11*m**2 + 60*m - 11. What is r(8)?\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1877 divided by -22974?\nAnswer: 1877\/22974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*j - 113 - 139 = 0. Sort j, 4, -70 in decreasing order.\nAnswer: j, 4, -70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/8)*g\/g**1)**(-10)*(g**(1\/3)\/g**2)\/((g*g*g\/g**(-2\/7))\/((g*g\/(g**(1\/5)*g))\/g)) assuming g is positive.\nAnswer: g**(-3739\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 55*c**5\/6 - 7*c**3\/6 - 3*c**2 - 23. What is the derivative of o(x) wrt x?\nAnswer: 1100*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.02 + -0.02. Let m = -6 + 11. Let o = m + -3. Which is the nearest to 0.1? (a) d (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2750623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - -56) + 7 + -31 + 20?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1733154 divided by -6.\nAnswer: 288859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -16*z + 37 + 18*z + 9*z**2 + 14 + 28*z. Let t(c) = -c**2 - 3*c - 5. Let s(r) = -2*a(r) - 21*t(r). Is s(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*n - 106 + 121, 28 = 2*y + 2*n. What is the remainder when 7069 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125, -44, 97, 304, 583, 940, 1381?\nAnswer: 1912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -6872.47\nAnswer: -2748.988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ngwnwwgwwwgw. What is prob of picking 1 n and 2 w?\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 - 223 + 272 + v**3)*(-4*v + v + 2*v).\nAnswer: v**4 - 49*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-18)\/21)\/((-9)\/(-84)*-2). Solve 6*j = 2*j + k for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((3 + 0 - 3) + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -13 + 0*s**2 + s**2 + 0*s**2 + 11*s. Let n = -74 + 61. What is the tens digit of z(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2535305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000017379784 to 6 decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) -0.2 (b) -4 (c) 5 (d) 0.031 (e) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, 0.0285, -8?\nAnswer: 0.0285","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 2231*w - 94204. Determine p(42).\nAnswer: 1262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 3*v + 17, 248*u = -5*v + 252*u + 57 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11*-42553.\nAnswer: -4680.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -1\/2, 0, 66.5, -2.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2227064741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4922031 to the nearest integer?\nAnswer: 2219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, t: 3, i: 3, d: 10, u: 2}. What is prob of sequence mtmi?\nAnswer: 1\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1076*f - 1487*f + 4121*f = -489720 for f.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 0.4, -1, 14?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 9.6. Let b be 1\/5 - (-4)\/10. What is the nearest to 1 in b, 1\/6, c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 570511 to the nearest integer?\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -293 plus 8?\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -3. Suppose -5*b + 3*h = -15, b - 2*h - 10 = c*b. Find the first derivative of -3 + q**4 + b*q + 0*q wrt q.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 - 8. Let s be 2\/12*f\/18. Let n be (-7)\/((-735)\/25)*(-4)\/(-10). Which is the second smallest value? (a) n (b) s (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6915 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*a = 200, z - 4*z + 175 = a. What is the lowest common multiple of 96 and z?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6, 3412 in descending order.\nAnswer: 3412, 6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6818.158 micrometers to centimeters.\nAnswer: 0.6818158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -8, -9\/2 in increasing order.\nAnswer: -8, -9\/2, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24760 and 282?\nAnswer: -6982320","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is 3344647568 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 p when three letters picked without replacement from pggppgggpgggp?\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 113950 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 514591463.\nAnswer: 18307, 28109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 8 = 3*u, 57*u + 4 = 53*u + 2*r for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**9\/756 + p**8\/84 - p**7\/35 - 47*p**3\/2 - 7*p - 9. Let o(l) be the second derivative of w(l). Solve o(s) = 0 for s.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 5*v + 10, 5*u - 3*v = -v + 35. Suppose -6 = -u*f + 14. Factor 2*h**5 - 4*h**4 - h**f + 4*h**4 - 3*h**5.\nAnswer: -h**4*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/(-343))\/(2*(-12)\/(-252)).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.267 + 0.267. Sort -0.3, -0.1, 3, k in ascending order.\nAnswer: k, -0.3, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -88489181*m**2. Let d(j) = j. Determine d(k(c)).\nAnswer: -88489181*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 42*p + 34*p + 4)*(-p**3 + 37*p - 39*p - 4 + 0*p**3) to x*p**3 + z*p**2 + v*p**4 + j + l*p and give z.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110489, -110506, -110523?\nAnswer: -110540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s, 2*s = 3*z - 9 + 3. Suppose z*o - 34 = 12*u - 15*u, 3*o + u - 58 = 0. Calculate the remainder when 258 is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 26*k**2 + 9*k + 2. Let b(z) = 3*z**2 + 1. What is 4*b(q) - h(q)?\nAnswer: -14*q**2 - 9*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/(-11))\/(3\/(84\/28) - 44\/47)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.07 - 0. Let t = -483 + 477.93. Let l = t + f. Sort -3\/5, 0.2, l in descending order.\nAnswer: 0.2, -3\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*c - 82*c + 483 = 10*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*z = -29 + 10, -4*z + 17 = -3*s. Suppose -u - 16 = -2*b + 7, -3*b + 5*u + 45 = 0. What is the greatest common divisor of s and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-6))\/((-4)\/(-42)). Let w(c) = -2*c - 10. Let d be w(j). Factor 2*m**4 - 2*m**2 + d*m**2 - 4*m**4.\nAnswer: -2*m**2*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-38)\/4)\/((-281)\/(-1124)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b - 159*b**2 + 202*b**2 + 0*b.\nAnswer: 43*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4424 divided by 79\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuuauauu. Give prob of sequence aa.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, 0.5, -49, 57, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3487 > 404?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-680)\/(-102))\/(975\/(-9360)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fif when three letters picked without replacement from wxxifiiawaifaxi.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 944602 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1202 - 200012?\nAnswer: -121110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1650\/19417?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -78*s**2\/11 - 848*s - 209640\/11.\nAnswer: -2*(s + 30)*(39*s + 3494)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -5*d**6\/6 - 15*d**5 - 90*d**4 - 180*d**3 - 4. Factor n(m).\nAnswer: -5*m**2*(m + 3)*(m + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2005\/88 - -252\/11. What is the third biggest value in l, 0, 15\/26?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*f**4 - 4*f**2 - 10*f**3 + 3*f**2 - 13*f**4 - 2*f**3 + 2*f**4 + 2*f**3 + (f - f + f)*(0*f**3 + f**3 + 2*f**3).\nAnswer: 3*f**4 - 10*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q**3\/q)))\/q*q*q**1\/q)\/((q**(-3)*q)\/q*(q**1\/q)\/q) assuming q is positive.\nAnswer: q**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 135*v**2\/7 + 1074*v\/7 - 48\/7 = 0. Calculate v.\nAnswer: -8, 2\/45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 277272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(68) + (-1 + sqrt(68) + sqrt(68))*-6))**2.\nAnswer: -6600*sqrt(17) + 206600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 4*a - 6. Let i(n) = -n**2 - 13*n - 7. Let w be i(a). Let m(v) = 7*v - 9. Is m(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-6*sqrt(630) + sqrt(630) - sqrt(630))*-5)\/(sqrt(160)*2 + -2*sqrt(60)\/sqrt(6)).\nAnswer: 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, 243, 0 in decreasing order.\nAnswer: 243, 72, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/18 + (-1896)\/(-27) - 0. Calculate the greatest common divisor of q and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -794*a. Let x(r) = 6*r**2. What is y(x(t))?\nAnswer: -4764*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 308107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54 - 3567. Let p = -1098 - o. Suppose 0*y - 3*y - p = 4*d, 0 = 2*d - 2*y + 1190. What is d rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 2*g - k - 2, 0 = -5*g + 5*k + 10. Suppose 6*j - j = 15. Solve -2*a - a + n - 8 = g, -a + j*n + 8 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/2)\/s*s**(1\/7))\/(s*s**2*s)**36*(s**(-4)\/(s*s*s*s*s**6))\/(s*s**(-2\/7)*s)**9 assuming s is positive.\nAnswer: s**(-2447\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1824 or -1829?\nAnswer: -1829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 4*q**2 + 27*q - 25*q + 132 + 2*q**2. Is 14 a factor of g(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 6:45 AM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 2*n - n)*(0 + 0 - 1) - 2*n - 1 + 1 + (1 + 1 + 0)*(-n + 2*n - 2*n) + 0 - 2*n + 0.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 11*u**2 - 5*u + 13. Let o(r) = r + 25. Let t be o(-17). Let n be c(t). What is the greatest common divisor of 66 and n?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-39)*(-6 + 9 + -4). Let m = 395\/4 + -99. Let b be (-10)\/(-6) + (-2)\/(-6). What is the biggest value in b, 0.5, h, m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**6\/120 - b**5\/60 + b**4\/24 - 13*b**3\/6 + 29*b**2. Calculate n(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -12\/7195 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3524117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minus 0.001123?\nAnswer: 102.998877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 230743823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + h - 81 = 3*h, 0 = -5*s - 3*h + 66. Let l be 2*3*5\/s. Let k(i) = -14 - l*i - 10 + i + 8. Calculate k(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = a + h - 0*h, a - 3*h - 5 = 0. Let o(v) be the third derivative of -v**4\/3 - v**3\/3 + 19*v**2. What is the remainder when o(-3) is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1875 and 22514600?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/sqrt(4) + 1 + 0.\nAnswer: 1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 107, 161, 215, 269?\nAnswer: 323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten thirds of a day?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 0*q**3 + 9*q**3 + 3*q**2 - q - q + 3 + 0*q**2. Let f be d(2). What is the common denominator of 83\/6 and (f\/(-10) - 0) + 2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 t when four letters picked without replacement from {b: 2, c: 7, t: 7}?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 203.77 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 5691*w**2\/2 - 5*w + 6165. Differentiate u(m) wrt m.\nAnswer: 5691","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16\/989 + 82349\/138460. Find the common denominator of 61\/6 and r.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-157945)\/124*360\/(-25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-32)\/(-280))\/((-1)\/(6 - 1)). Let d = -1 + 6. Sort -0.3, j, d in decreasing order.\nAnswer: d, -0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + 54. Calculate the smallest common multiple of r and 4.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 - 2*n + 7. Let w(z) = 5*z**2 - 6*z + 19. Give 17*l(x) - 6*w(x).\nAnswer: 4*x**2 + 2*x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 156 and 387.\nAnswer: 20124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -8.5?\nAnswer: -42.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 8378 = -10*b + 11*b, -4*b - 8396 = -q. Is q a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -37 + 15*g + 4*g**2 + 24*g + 21*g + 141.\nAnswer: 4*(g + 2)*(g + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10863 (base 14) to base 2\nAnswer: -1001110010000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c7eb01 + 6?\nAnswer: c7eb07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1110 divided by -47.\nAnswer: 1110\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1303, 1382, 1513, 1696, 1931, 2218, 2557?\nAnswer: 2948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: Suppose -13*o + 4872 = -o. Suppose -p + 2*p = -821. Let j = o - p. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 65*w**2 - 944*w - 37. Determine m(22).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/4, 2\/19, -10, -0.2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {n: 7, a: 4, o: 2, u: 1, v: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00130383 rounded to 5 decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/7)\/((-68)\/4)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-2)\/(-1 + 3)). Let p be v*(-5)\/(-2 - -3). Solve 3*n + p = -4*y, -8 = y - 4*n + 17 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxwww. Give prob of picking 2 w.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 142, 329, 532, 751, 986, 1237?\n\"Answer: 8*l**2 + 163*l - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -167*c + 1108. Determine v(7).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4 + 325*m**3 - 578*m**2 + 249*m.\nAnswer: m*(m - 1)*(m + 83)*(4*m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-68)\/238 - ((-534)\/(-21))\/2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2218369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/((-52)\/(936\/11)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1184*q = -1190*q + 30. Solve -9*k - 12 = -q*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18096*y**2 - 33769*y**2 - 4890*y**2 - 5499*y**2 - 11647*y**2.\nAnswer: -73901*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t**2. Let v = -418 - -425. Let y be (-63)\/(-6)*(-2)\/(-3). Let g(a) = v*a**2 - y*a**2 - 3*a**2. Give g(l(u)).\nAnswer: -48*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 143570 < 150217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112 and 966?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -47500 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2*(-9)\/(-4))\/(3\/(-4)). Suppose -2*i - 8 = -b*i. Solve -29 = -4*k - 5*u, -4*u + 17 = i*k - u for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 202865, 202892, 202935, 202994?\nAnswer: 203069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*w - 15*w**2 + 19*w - 49*w + 27*w**2.\nAnswer: 12*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(3) - sqrt(6)\/sqrt(2)) - sqrt(3) - ((sqrt(3) + 0)*2 + sqrt(3)) - (sqrt(216)\/(2*sqrt(6)))\/sqrt(12))**2.\nAnswer: 243\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (24 + (-1 - 10) + -8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -b**5\/5 + b**4 - b**3 - 2*b**2 + 4*b - 2. Factor j(i).\nAnswer: -(i - 2)**2*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3975449773 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 g be 264\/99*(-39)\/(-104). Sort g, 4, 194 in descending order.\nAnswer: 194, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7954880861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yj when two letters picked without replacement from {y: 1, t: 2, j: 1, r: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.4412, -3, -0.35, -3\/11.\nAnswer: -3, -1.4412, -0.35, -3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -76, -252, -522, -886, -1344, -1896?\n\"Answer: -47*m**2 - 35*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -179297343 by -686963.\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 4*q**3\/3 - 6*q**2 + 8*q - 44. What is f in t(f) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hv when two letters picked without replacement from zzjzjhhzjavazoz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 4, 7, 17 in descending order.\nAnswer: 17, 7, 4, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, -11626\/3.\nAnswer: -11626\/3, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/(-3))\/(-5)*-6. Let h(n) = -n**2 - 10*n**3 + k*n**3 + 7*n**3. Calculate h(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*z + 15 = -37, 2*z - 40 = 4*b. Let o = b + 12. Calculate the remainder when 15 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 8*k - 9. Let x be h(6). Find the second derivative of x*b**4 + 2*b - b + 0*b + 0*b**4 wrt b.\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 10 = -3*p, -96 = -4*x + 2*p. Suppose -v**2 + 186 + x*v**2 + 36*v - 170 + 4*v**3 = 0. What is v?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/2 + 250104*q.\nAnswer: -q*(q - 500208)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -107.14 rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7625 = 78*p - 1111. What is the highest common divisor of p and 4816?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.12 and 833063.\nAnswer: -99967.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3596 + 112 = 12*b. Suppose b - 1209 = -12*n. What is the remainder when 148 is divided by n?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1c2c4 (base 15) to base 6\nAnswer: 1544451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of 0*m + 0 + 0*m**3 + 1\/60*m**5 + 5*m**2 + 1\/24*m**4. What is the second derivative of n(f) wrt f?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 - -3)\/(0 + -1). Let m(x) = -4*x + 6*x - 2*x - i*x. Let a(y) = y. Calculate m(a(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5500) - -1*sqrt(5500))*-2)\/(sqrt(35)\/(sqrt(77)\/(sqrt(11)*2) - sqrt(7)))*5.\nAnswer: 100*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -1. Solve w - 2 - i = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 15*s**2 - s - 7. Let y = 596 + -611. Determine t(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 39833.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45.89 - 54.89. Let t be ((-1)\/(-9))\/((-14)\/(-42)). What is the closest to p in t, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_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: Let g(b) = -1135*b + 2553. What is the remainder when g(2) is divided by 110?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/6*(53 + 2). Suppose -5*i - 2*b + 4 = b, 0 = 5*i - 5*b - 20. Let g be i*-1*5\/o. Sort g, 0.3, -2 in descending order.\nAnswer: 0.3, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 58) + (5 - -1 - (-104 - -106))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.9194 and 0.\nAnswer: 1.9194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - -3) + (53 - 28) + -15?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 270285 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -666631 divided by -2?\nAnswer: 666631\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u**2. Let z(d) = -10899*d. Give h(z(r)).\nAnswer: 475152804*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6853 and 807675?\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -5020*x - 3786. What are the prime factors of z(-7)?\nAnswer: 2, 61, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 16. Let r be 1\/(q\/(-1533)) - -2. Is 10\/(-10) + (1 - r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9187b (base 12) to base 4\nAnswer: -232102133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1017*q**2 - 1017*q**2 + 61*q**3.\nAnswer: 61*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 9:34 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 36*145\/20880*5*(-1)\/((-190)\/4)?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 133\/9 + -15. Which is the third biggest value? (a) q (b) 5\/4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 159*k. Let a(n) = -3*n. Calculate a(s(j)).\nAnswer: -477*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 5*y = -d - 10, 0 = 4*d - y + 59. Let i = -9 - d. Calculate the lowest common multiple of i and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -1 + 4)\/((-25)\/(-50)). Calculate the smallest common multiple of 48 and 4 + 130\/v + (-1)\/4.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4417980.\nAnswer: 2, 3, 5, 7, 67, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6884 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 3 - 211*o**2 - 3 + 2*o**2.\nAnswer: -209*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(3 - -2 - 168\/34). Let s = -10 + n. Let f(v) = -v + 2. Let g(t) = t - 4. Calculate s*f(w) + 4*g(w).\nAnswer: -3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 + f - 1. Let a be t(-2). Let l = 11 + 1. Let x = -17 + l. What is the third biggest value in x, a, 2\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/3))**(1\/6))**43\/((m**2\/m)\/m*m**1)**(-3) assuming m is positive.\nAnswer: m**(-16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 37*t**2 + t - 112. Let w(z) = -z**2. Calculate d(w(q)).\nAnswer: 37*q**4 - q**2 - 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.8? (a) 4\/5 (b) -0.06 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3584212 + 5?\nAnswer: 3584217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*t**5 + 9*t - 2.\nAnswer: -440*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one tenth of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2. Let s be (-7 - -3)\/(2\/(-3)). Let n(p) = p - s + 6. What is n(d(h))?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000028837388 rounded to 7 dps?\nAnswer: 0.0000288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + a + 5)*(9*a - 7*a - a**2 - 10*a) to j + b*a + r*a**2 + n*a**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 3:58 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*m - 4*q + 7, 4*q = 2*m + 18. Calculate the remainder when (-1)\/(8\/6)*(-127 - m) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 43*j - 15. Let i be o(40). Solve -100*d + i = -79*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -100*q**4 - 23*q + 5*q**5 + 78*q - 4 - q**5 + 13*q wrt q.\nAnswer: 80*q**3 - 1200*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (304 - 32 - 28 + 213 + 132)*(-5*p - 9 + 9) to the form n*p + l and give n.\nAnswer: -2945","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 112\/(-980)*(-56)\/16?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 9. Let n be ((-27)\/(-18))\/((-6)\/8). Let h be 0 + 2 - -18 - n. Calculate the highest common divisor of h and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2 + 4 = -3*i, i = -3*r - 3. Suppose 5*y = -0*y + 125. Suppose 5*l - 35 = y. Solve -d - 5*q = -26 + 4, 3*q - l = i for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 1. Let n(c) = -8*c + 0*c + 6*c**f + 154*c**3 + 9*c**3 + 8. Let d be n(-8). What is d rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-5)\/4*-7*7\/(-245).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 4*w - 3*w - 2634, -5*u = 3*w + 4376. Let r = 877 + u. Let z(c) = -c**3 - c**2 + c + 32. Calculate z(r).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1848 divided by -1?\nAnswer: 1848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j**2 + 4*j**2 - j**2 - j - 3*j**2 + j + (20 + 17*j - 20)*(3*j + 3*j + j) to the form n*j**2 + d + w*j and give n.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 7*u - 3. Let r be q(7). Let p be (r\/(-2))\/((-6)\/(-8)). Suppose -i - 23 = -p*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 52. Is z bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x - 6. Suppose -5*k = 0, k = 3*i - 9 - 0. Let t(q) = -2*q + 3. What is i*p(y) + 7*t(y)?\nAnswer: -2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.546 + 1.646. Let n = 2.8 - 3. Which is the closest to n? (a) l (b) -11 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102 and 25602.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -1220963.\nAnswer: 1220962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002831796 to five dps.\nAnswer: 0.00283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(325) - sqrt(130)\/sqrt(250))**2 + ((sqrt(13) + -1 + sqrt(13))*-3 - -5*sqrt(26)\/sqrt(2)).\nAnswer: 187*sqrt(13)\/5 + 7963\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16\/4 + 20946\/(-18)*-6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 64321718*o*u - 85*o - 13796 wrt u.\nAnswer: 64321718*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (1\/(-1) - -2). Suppose 0 = 5*l - m*l - 21. Suppose -d = -l + 1. Does 2 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-38)\/44 + ((-305)\/366)\/((-2)\/6). Factor q*a**3 + 56\/11*a - 16\/11 + 68\/11*a**2.\nAnswer: 2*(a + 2)**2*(9*a - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 358, 4\/631 in descending order.\nAnswer: 358, 4\/631, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 53842 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + sqrt(104)\/sqrt(392))**2.\nAnswer: -186\/49 + 6*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q - 1. Let d(m) = m**2 + 7*m - 6. Let s be d(-8). Suppose s*r = -r. Let l be v(r). Are l and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 4*b + 15 = 0, -334*b = 3*o - 335*b + 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 62*j**2 + 334*j - 48. Let x be b(-67). Let i be 75 + (-3)\/(-3)*1. What is the highest common factor of x and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*1*(-6*sqrt(56)\/sqrt(4))\/(sqrt(112)\/sqrt(4))*-2.\nAnswer: 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 471766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -m**4\/2 + 595*m**3\/3 - 19*m**2\/2 - 68*m + 4211. Find the second derivative of v(y) wrt y.\nAnswer: -12*y + 1190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004476 rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0624059 rounded to four dps?\nAnswer: -0.0624","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 8:29 AM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1247 + 18164*b + 1247 to the form n + v*b and give v.\nAnswer: 18164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -50*l**2 + 3030*l - 48. List the prime factors of c(50).\nAnswer: 2, 17, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/9024 and -137\/384.\nAnswer: 18048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/88 and 39\/17600.\nAnswer: 17600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 3*o**2 - 5*o - 9. Determine j(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 46*t**2 - 57*t - 161. What are the prime factors of b(43)?\nAnswer: 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, f: 1, p: 1, q: 1}. Give prob of sequence qp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -28a2b (base 16) to base 3\nAnswer: -22110022120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 - 11*l + 6339. Let b(r) = -2*r + 29. Determine v(b(m)).\nAnswer: 8*m**2 - 210*m + 7702","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31.9 + 32. Let v be (-45)\/10*(-20)\/(-6). Let l be (v\/(-6) - 2)*-1. What is the nearest to -1\/3 in n, -4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-171)\/57*(742\/6)\/(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 245444\/3 + -81814. Let f be (-10)\/(-18) + (-1)\/(-3). Factor -f - 16\/9*v - w*v**2.\nAnswer: -2*(v + 2)*(3*v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -203, -1.\nAnswer: -203, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 less than or equal to 2.03239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3 = -4*t + 1, -3*t = -2*v - 2. Suppose 0 = -v*n + 3*q + 32, 0*n + 2*q = n - 18. Solve -n - 5 = -3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 14. Solve -t*d = 6, -3*a + 4*d = -0 - 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (220\/(-15))\/(16\/(-24)). Let g(y) = -y**3 + 7*y**2 - 5*y + 5. Let w be g(6). Calculate the highest common factor of o and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.99999999 + -10. What is d rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v - 8. What is h(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 10642027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.832 - 0.032. Let o = -337.068102 + 331.2683. Let a = o + g. What is a rounded to 5 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 30 + 6 = 0. Suppose -g = m - 4*m. Suppose -i = -m*i + 18. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -187493\/28 + 6695. Calculate the common denominator of v and -113\/186.\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43148 = 303*u - 1661*u - 127960 for u.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 3*m + 16401988 = 2*i, i = -m - 3280396. What is i rounded to the nearest 10000?\nAnswer: -3280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1508779 = 5*b - 133*w + 135*w, b - 2*w = 301775. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 503449550 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -929 + 937. Sort 0, n, -0.5 in increasing order.\nAnswer: -0.5, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85, -180, -339, -562?\nAnswer: -849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 366, 1421, 3180, 5643, 8810?\n\"Answer: 352*d**2 - d + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 8:10 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 4, -0.088, 2, -5, 0.17?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -125 + 5?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.1, 1, 5, -6\/35 in decreasing order.\nAnswer: 5, 1, -6\/35, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02976352 rounded to 3 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, r: 1, e: 2, f: 2}. Give prob of picking 1 r, 1 e, and 1 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 8*h + 2. Let v be x(3). Suppose v = -2*w - 24. Let o = 58 + w. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001 a factor of 489489?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.46 + 0.3. Let o = -0.46 - h. What is the second smallest value in -1, -5\/6, o?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + 17. Calculate a(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (54\/(-48) - (-3)\/24) + 1. Suppose 11*x + 3 - 36 = p. Suppose 0 = 5*n + 11 - 1. What is the closest to x in 2\/3, -3, n?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 y when four letters picked without replacement from ymbybybbtbbbbbymbbb?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-10))\/((-2)\/10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*k + 256\/3 - 4\/3*k**2 = 0. Calculate k.\nAnswer: -16, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/4 - (-18)\/8. Suppose -6 = -r*a + v, 0*v - v + 14 = 3*a. Suppose 3*k + 23 = 5*o - 0*o, -o = -a. Put -1.1, 2, k in descending order.\nAnswer: 2, k, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -403, -464, -525, -586, -647, -708?\nAnswer: -769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.007123 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6228 is divided by 1532.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x + 5. Let d = -2111 + 2147. Calculate the remainder when d is divided by b(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000094431 rounded to 6 dps?\nAnswer: -0.000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-2 + 1) - -279. Suppose 5*w + 4*p + 74 = 6*w, -4*w + f = 2*p. Let v = -11 + w. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 = 2*a + o + 141, 5*a + 2*o = -7. Let j(p) = -4*p - 1. Let f be j(-1). Let q(m) = -m**f + m**3 + 6*m**3. What is q(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*i - 2. Let c be 27 + 0 - (36 - 11). Solve 4*h - i = c for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 36*t**2 - t + 1. What is the tens digit of p(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**5 + 58*k**4 - 12870*k**3 - 170*k**2 + 38708*k - 25728 = 0.\nAnswer: -96, -2, 1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v + 0*v - 3547 = 161. What is the remainder when v is divided by 85?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -18771, -37497, -56223, -74949, -93675?\n\"Answer: -18726*q - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/15, 2\/9, -3, 1\/11, -482?\nAnswer: -482","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12558 - 960?\nAnswer: -132b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {f: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 67, 60, 53, 46?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence waii when four letters picked without replacement from {a: 1, i: 1, m: 1, w: 1, p: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 48\/36*3\/2. Suppose i*m - 26 = -2*v - 3*v, 4*v - 52 = -4*m. Sort -5, m, -2 in descending order.\nAnswer: m, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99097709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -127 - -22 - (214 + -227)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -1)\/(1 - 0). Suppose c = -5*i + 7 + 8. Solve -z = -3*h + z - 20, -i*h - 2*z - 4 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 532 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -111*q. Let g(m) = m + 36444. What is g(r(z))?\nAnswer: -111*z + 36444","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5}. What is prob of picking 4 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15340 and 263169205.\nAnswer: 3835","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15103117 and 2965.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*c*k*o**3 + 439*c*k*o**2 - 2*k*o**3 + 32107*o**3 wrt c.\nAnswer: -10*k*o**3 + 439*k*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 45*i**2 - 55*i - 55. Suppose -4*h - 2 = -2*d, 5*d = -3*h + 11 + 20. Let f(o) = -19*o - 6*o**2 - 6 + 11*o**h + 13*o. Determine 55*f(j) - 6*n(j).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -m**4\/12 - 3*m**3\/2 + 11*m**2\/2 + 7*m. What are the prime factors of z(-6)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44.99999876 - 45. Round x to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.36 - -0.06. Let t = -92471\/497 + 13200\/71. Which is the third biggest value? (a) 1\/2 (b) u (c) t (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(891)*-1 - sqrt(891)) + sqrt(891) - ((-1 + sqrt(891))*5)**2 - ((sqrt(1331)*-1)**2*1 - 4*sqrt(1331)*-2).\nAnswer: -23632 + 353*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 3*j**2 - 4*j - 2. Let o be t(-3). Let m = -8 + o. What is the second derivative of -2*k**2 + k + 3*k**5 + m*k**2 wrt k?\nAnswer: 60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s - 9*s - 3*s)*(-2 + 2 + s)*(3 - 3 + 2*s).\nAnswer: -14*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*f**4*w + 314*f**3*w - 2810*w with respect to f.\nAnswer: 16*f**3*w + 942*f**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 z when four letters picked without replacement from apazzaaapppaaaap?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*d - 8*d - 52 = -1872 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -1\/6*q**3 + 0*q**2 + 28*q + 1. Let y(v) = 2*v + 1. Calculate n(s) - y(s).\nAnswer: -3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*t + 18*t + 12*t + 12*t)*(t + 2*t - t).\nAnswer: 68*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 312\/(-780) - -12*(-1)\/(-25).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6734 - -13403. What is the remainder when q is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*k**2 + 118*k + 108*k - 228*k + 229*k**2 + 1 as b*k**2 + x*k + i and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/770 and -103\/770.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -1127*a + 376*a + 372*a + 376*a. Let w(n) = -7*n**2 - 1. What is w(g(t))?\nAnswer: -63*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j - 2*u + 63 = 20, -4*u = 2*j - 0*j - 170 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*o + 1 - 1)*(o + 4*o - 3*o) + 3*o**2 - 2*o**2 + o**2.\nAnswer: 32*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 330 and 396.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2450938 is divided by 136161?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 84648 + -15379. List the prime factors of t.\nAnswer: 113, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -7. Suppose d = -11*b + 2*b + 315. Suppose 3*j - b = -4*f, 3*f = -3*j - 13 + 43. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 532346223 to the nearest integer?\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2086 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 765 (b) -2 (c) 0.4 (d) 0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -279.23007 rounded to one dp?\nAnswer: -279.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 4*c - 0*w - 12, 15 = 4*c - w. Solve 11*k = 13*k - c for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-18)\/(-4) - 4)*(-1464)\/3. Let o = y - -244. Solve 0*j + 2*q = -5*j - 23, -5*q + 5 = o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, k: 4, l: 2}. Give prob of sequence klkk.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 73 = -2*j, -511845*j - s = -511844*j - 38 for j.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v = 3*g - 25, v - 159 + 155 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24325 and 10930265.\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2206335.\nAnswer: 3, 5, 147089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 738727.6 millennia?\nAnswer: 738727600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-24)\/20)\/((-10)\/75)*-485. Let z = 43701\/10 + m. Find the common denominator of -13\/14 and z.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjj when four letters picked without replacement from jjjkkjkjkyjkjkjykjy?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4.34*2244\nAnswer: -9738.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 28, 150, -304\/35, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m. Let z(j) = -3*j - 8. Let p(x) = 2*f(x) + z(x). Let i be p(6). Let o = -9 - i. Is 2 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/9)\/r**(-6)*r**(-1\/8)\/(r*r*r\/(r**2*r)*r) assuming r is positive.\nAnswer: r**(335\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, -4\/3, -0.1, -1\/4, 3\/122?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + -3 + -2 - (-636 - -612).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**4\/4 + u**2. Let z(f) = -11*f - 13. Let k(v) = 5*v + 6. Let l(r) = 13*k(r) + 6*z(r). Give l(t(q)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f. Let x be (90\/(-120))\/((-3)\/4). Let h(l) = -l + 0*l - 4*l**2 - 11*l. Calculate x*h(m) - 12*u(m).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 420 = 3*c. Let w = c + -65. Let z = w - -11. Calculate the highest common divisor of z and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) 0.3 (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 37*k**2 - 11*k - 36 - 3 + 126*k + 89 - 39*k**2. Give b(58).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 13 + (-24 - -12)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -216 divided by -874?\nAnswer: 108\/437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/3))**(12\/13)\/(b**(2\/19)*((b*b*(b*b*b\/(b*b**(-1\/5)*b)*b*b*b)\/b*b)\/b*b)\/b*b))**(-17) assuming b is positive.\nAnswer: b**(125919\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*f**3*i + 2*f**3*s - 46*f**2*s + 4*f*i*s - 2*f*s - 15*f - 2*i*s - 3*i with respect to i.\nAnswer: -13*f**3 + 4*f*s - 2*s - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7099 and 3893.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -799, -6384, -21535, -51034, -99663?\nAnswer: -172204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(10\/11)*x*(x*x**(-10)\/x)\/x*(x*x\/(x**(-1\/33)\/x*x))\/(x*x**(2\/27)) assuming x is positive.\nAnswer: x**(-2416\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 49814364423 and 65.\nAnswer: 49814364488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11675769*x**5 + 11134107*x**2.\nAnswer: 700546140*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oypjx. Give prob of sequence ox.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4*z = 16, c + 2*z = 2*c + 8. Let r(o) = c*o - o - 2 - o**2 + 8*o + 0. Determine r(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 4, -6\/19 in ascending order.\nAnswer: -2\/3, -6\/19, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9229\/2 - 83089\/18. What is the nearest to 4 in 4, x, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -1\/12*q**4 - 7\/6*q**3 + 0 + 9\/2*q**2 + 5*q. Give j(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7095504494 and 29.\nAnswer: 7095504523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 88, 131, 174, 217, 260?\nAnswer: 303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*u**5 + u**5 + u**5 + (0*u**3 + 0*u**3 - 3*u**3)*(3*u**2 + u**2 - 5*u**2) + 6*u**5 + u**5 - u**5 + (-2*u**5 - 5*u**5 - u**5)*(2 + 2 - 2).\nAnswer: -10*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-3) + (15 - 964\/60).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 11*q - 33. What is the remainder when x(7) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71 + -42. Let f = 11 - i. Let y = 8 + -27. Which is bigger: f or y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-1 - 1)*(-3)\/2 - -123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18161 divided by 18555?\nAnswer: -18161\/18555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6180976?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*3\/(-216))\/(83280\/(-24984)).\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, v: 3, n: 6, y: 3, k: 1}. What is prob of sequence nvn?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -77*r**4 + 265*r - 3 - 267*r - 2 in the form j*r**2 + s + w*r**3 + q*r**4 + p*r and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (81 - (-25 + 13)) + -16 + -7\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(3 + (-4 - 3) + 3). Let x be (8 + a - 1) + -2. Let l = 100 - x. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 352 * -2238.\nAnswer: -787776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/6, -0.13, -1, 0.2 in decreasing order.\nAnswer: 0.2, -0.13, -1\/6, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - x + 1. Let g(s) = s**2 + 6*s + 1. Let a(l) = -4*l**2 + 28*l. Let i(c) = -a(c) + 4*g(c). What is i(t) - 4*m(t)?\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13420, 26835, 40248, 53653, 67044, 80415?\nAnswer: 93760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 6*k**3 + 5*k - 5. Let d(r) = r**3 + r - 1. Let z be ((-9)\/(-12))\/((-4)\/(-176)). Suppose 4*s - z = 27. Give s*d(j) - 3*q(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/91*(-105)\/10.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2821*v + 31404 = -126572 for v.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 60*l**2 + 115*l - 214. What is the units digit of p(-44)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4127735 a multiple of 297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 2*x + 11601. Let z be 12\/42 - x\/(-14). Let q = z - 298. Find the common denominator of -7\/11 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 + 44 - 21 - 89*a to x + t*a and give t.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*d**3 - 12*d - 38 wrt d?\nAnswer: -15*d**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 11152068 to the nearest one hundred thousand.\nAnswer: 11200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - g + 5995. Let w be f(0). Suppose -7*u + 3*u - 5*s = -12005, 0 = -2*u + 5*s + w. Round u to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**1)**(-1\/38) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2)**30)**(-2\/157) assuming r is positive.\nAnswer: r**(-120\/157)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 9. Let q(o) = -o**3 - 5*o**2 - 5*o - 2. Let y be q(g). Let s(c) = c**3 + 2*c**2 + 4*c + 6. Let f be s(-2). Put f, y, 3 in descending order.\nAnswer: 3, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -5*x**2 - 14465*x - 4613600 = 0?\nAnswer: -2528, -365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvvvvvvvvvvvvvbvbv. Give prob of picking 2 v.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5964 divided by 6\nAnswer: -994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 110729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l\/(l**(6\/5)*l))))\/(l**(-18)\/l) assuming l is positive.\nAnswer: l**(89\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 97289818 and 401.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 127 + -126. Let z(l) = l**2 - l + 1. Let d be z(3). Suppose 5*q - 2*u - d = 0, 2*q - 4*u - 5 = q. Which is the closest to j? (a) 1\/2 (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/12 + 1 + 969\/(-1308). Do 1 and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42890659909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 5:32 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/11 (b) -1\/67 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3544 + 2?\nAnswer: -3542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -123*v**7\/35 - v**6\/60 - v**4\/12 - 10153*v**3\/6 - 3900*v**2. What is the first derivative of g(a) wrt a?\nAnswer: -2952*a**3 - 6*a**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 1292*f - 3.\nAnswer: 1292*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 230379269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = -2*p + 201600000. Suppose -10*d + 9*d - p = 0. Round d to the nearest one million.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1 + 1468?\nAnswer: 1465.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1817 is divided by 65.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -112375 (base 9) in base 14?\nAnswer: -1a7ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*l**3 - 6*l**3 + 27*l**3.\nAnswer: -19*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 1. Suppose 2*a - 2 = 2. Let n be (a\/6)\/(2\/30). Solve -n*x + f*x = 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -4*u + 5*y, -21 = -3*u + 2*u + 4*y. Let h(d) = 3*d - 2. Let o(f) = -9*f + 5. Let b(m) = -8*h(m) - 3*o(m). List the prime factors of b(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1548448l in millilitres?\nAnswer: 154.8448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 210 - 222 - (8 + -2 + (-8 - -113 - -2))\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*i = 48*i - 145 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**3 + 85*c**2 + 205*c - 285 = 0. What is c?\nAnswer: -3, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12686 is divided by 986?\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 2*r - 56 = -9, -82 = 6*o + 3*r + r for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 44*y - 13. Let w(g) = -21*g + 6. Let l(o) = 6*d(o) + 13*w(o). Let u(b) = 39*b. Determine l(u(i)).\nAnswer: -351*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - p**2 + p + 3. Let u(b) = 4*b - 21. Let f be u(6). Let z(r) = -r**3 - r**2 + 2*r + 5. What is f*z(h) - 5*w(h)?\nAnswer: 2*h**3 + 2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4066713302 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2491629?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2732, 2748, 2764, 2780, 2796, 2812?\n\"Answer: 16*f + 2716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -5, -3.612, -7\/27.\nAnswer: -5, -3.612, -7\/27, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - -293.64802.\nAnswer: 293.24802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 23*w - 87. Let x be d(-12). Let g = 47 + -20. Let t = x - g. What is the greatest common divisor of t and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a millennium?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 11*j**2 + 0*j**2 - 2*j**2 + 0*j**2. Let o(h) = 226 + h - 226. What is o(u(a))?\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.3 (b) 143 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -11011 (base 2) to base 8\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - (38 - 20) - (3 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 2*q + 2. Let h = -13 - -6. What is the remainder when s(h) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 416 and 384?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.9 + 8. Let i = 1 - m. Let v be (16\/24)\/(28\/(-18)). What is the closest to 2 in i, v, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 812302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, 0.2, 5, 1\/2, -678 in increasing order.\nAnswer: -678, -1\/9, 0.2, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021 - 212022000221112?\nAnswer: -212022000222210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1283.9 less than 3141?\nAnswer: 4424.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s - s**3 + 0*s + (-2*s + 4*s + s)*(10*s**2 + 3*s**2 - 3*s**2).\nAnswer: 29*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(675) - (sqrt(675)*1 - sqrt(675))) + sqrt(675) - sqrt(27)))\/(sqrt(9)*-1*-2*-3) + -5.\nAnswer: -5 + 15*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 7) in base 2?\nAnswer: -10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 6*p + 25. Calculate o(-13).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*w - 90 = o - 4, -5*o = -2*w - 30 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 5, 1493, -2 in decreasing order.\nAnswer: 1493, 5, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -555*s - 11 + 11.\nAnswer: -555*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.0427 * -0.8638\nAnswer: 0.03688426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-6))\/(852\/1420). Is 31 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aeashaeses. Give prob of sequence ahe.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 22*i + 251 - 251 + 11*i. Is g(2) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -537*w*y**3 - w*y + 65540*w - 41*y**3 + 2 wrt y?\nAnswer: -1611*w*y**2 - w - 123*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/((-2)\/(-1))*48\/120?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 3*l + 3*l + 16 = -u, -6*u = -2*u + 160 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 538527.4t in milligrams?\nAnswer: 538527400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(152))\/(4*-2*sqrt(8)).\nAnswer: -3*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3348.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 8 = 4*r + 5*m, 4*r = 4*m - 16. Let s be (-3)\/((-18)\/4)*-12. Let o = r - s. Solve -4*g + 4 = 4*q, 5*g - 3*g + o = 3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*f - 5, 459*m - 4*f = 455*m + 20. Solve 0 = 10*y - m*y + 36 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g + 142 + 115 - 17*g**3 - 258. Let r = -1 + 5. Let f = -3 + r. What is l(f)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000187 to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1887\/13 - -145. Suppose 0 = 5*c + 32 + 118. Let g be -10*(0 - (-4)\/c). Sort w, g, 0.4 in descending order.\nAnswer: g, 0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4206197583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 124 - 112. What is the units digit of ((-2041)\/26)\/(2\/p*-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, h: 1, t: 1, f: 1, s: 1}. What is prob of picking 1 f and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/27 - 13\/(-18). Let q = -1538 + 19970\/13. Let k = -83\/52 - q. Which is the closest to k? (a) 2 (b) 1\/5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6*(-1 - 0)*-3 and (-9849)\/(-126) - 2520\/(-432)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32493\/11 - 2957. Let d = -619679\/96 + 6455. Find the common denominator of d and l.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.01 (b) 5 (c) 0 (d) 2 (e) 266 (f) -1 (g) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 729 and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14.78172907 + 0.31824653. Let t = -15.339 + 0.239. Let o = t + v. Round o to six dps.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.49 (b) -18 (c) 159\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 + -24. Suppose m*x = 9120 + 1980. Round x to the nearest 100.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*n + 54 = -32*n. Solve m = n*m + 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 8*i = 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -190028868 minus -0.5?\nAnswer: -190028867.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.7, 5, -363, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -2. Let o(u) = u + 2. Let i be o(p). Let d(z) = 1 - 6*z + i + 0. Calculate d(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2827?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14548884463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 12:16 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**2\/2 + 1. Let s(t) be the second derivative of 0 + 0*t**2 + 1\/12*t**4 + 0*t**3 + 2*t. What is v(s(g))?\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssswsssswwssw. What is prob of sequence wwss?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34741*o**3 - 71815 wrt o.\nAnswer: 104223*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-384)\/(-264) + 12\/22\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2227 * -113\nAnswer: 251651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(9\/7))**(-3)*(l\/(l**(-7)\/l))**(-18) assuming l is positive.\nAnswer: l**(-1161\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11098236 divided by 120633\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**6\/360 + v**4\/24 - v**3\/9 - 5*v**2\/2 - 4*v. Let k(u) be the first derivative of m(u). Factor k(s).\nAnswer: -(s - 1)**2*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d + 120. What is the tens digit of f(-29)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37426627*-0.29.\nAnswer: -10853721.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/5 of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2698 divided by -6?\nAnswer: -1349\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*a + 8 - 26, 5*u = -4*a + 21. Let s be 1\/3 + u*(-10)\/30. Solve -3*v - 10 = 2*v + c, s = v - 4*c + 23 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20210*x**4 + 256*x**3 - 82*x**2 + 32*x - 136.\nAnswer: -485040*x + 1536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1441 - -7698. List the prime factors of x.\nAnswer: 6257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 320\/12*(-111)\/(-185).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -27*v**8\/112 - 3*v**5\/20 + 1853*v**4\/24 - 3187*v**2. What is the second derivative of y(h) wrt h?\nAnswer: -1620*h**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 134 - 139. Sort q, 4, -11, -1\/7.\nAnswer: -11, q, -1\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**16*((c\/(c**(1\/26)\/c))\/c)\/c)\/(c**(-6)*c\/c**(2\/5)) assuming c is positive.\nAnswer: c**(-1123\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129 = 589*g - 14854 for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krrokeoeokkowo. What is prob of sequence ro?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 s, and 1 g when four letters picked without replacement from {j: 2, g: 7, s: 2}?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -320?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 21 + m**2 + 19 - m**3 - 44 - 12*m**3. List the prime factors of c(-2).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 + -23. What is the remainder when 13 is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 0*k**4 + 0*k - 3*k**3 + 0*k**5 + 0*k**2 - 14 + 0*k**6 + 17\/7*k**7. What is the third derivative of s(b) wrt b?\nAnswer: 2040*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28540 rounded to the nearest 1000?\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 6*p**2 + 16*p + 8. Determine y(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 + 3 + 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -886, 1, -64, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60740 is divided by 3196?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -27\/7, -4, 1\/6?\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 647*n**2 + 2946*n - 1495. Give z(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/sqrt(98) + sqrt(13) + sqrt(13) - (sqrt(1300) + -2))**2.\nAnswer: -220*sqrt(13)\/7 + 39521\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(132) - sqrt(132)*-2*3)\/(sqrt(108) - sqrt(108)*-1) - ((sqrt(121)*2)\/sqrt(11) + (4*sqrt(121))\/sqrt(11))).\nAnswer: -29*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*z**2 + 44 - 2*z**3 + 196 + 127 + 7*z**3 - 120*z + 33.\nAnswer: 5*(z - 4)**2*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/477981 and 14\/27?\nAnswer: 477981","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g**2 - 7*g. Let o(h) be the first derivative of -h**3 + 5*h**2\/2 + 2. Let m(n) = -7*o(n) - 5*r(n). Let f(j) = -5*j**2. Determine m(f(d)).\nAnswer: 25*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 4:08 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -355\/609 + 1\/87. What is the third smallest value in 63, d, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198937720286 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -ba20?\nAnswer: ba1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47202538?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/17 - 2570\/(-170). Find h, given that 12*h + 31*h**3 - y*h**3 - 3*h**4 - 25*h**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, -706, -1444, -2164, -2860, -3526, -4156, -4744?\nAnswer: -5284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3000591 and 18?\nAnswer: 6001182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 0*r - r**2)*((-2*r + 3*r + 0*r)*(0 + 2 + 0) - 2*r - 15*r + 2*r)*(29*r + 2 - 25*r - 58*r).\nAnswer: -702*r**4 + 26*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.653114 millilitres to litres.\nAnswer: 0.003653114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1683, 2536, 2549, 1722, 55, -2452, -5799?\n\"Answer: -420*o**2 + 2113*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -6. Let q be s + 2\/4*-2. Are q and -1\/6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3 - -2)*1\/(-1) + 68.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -261 + 435. Suppose -2*u + 3*i = -2*i - 88, 3*i = -3*u + a. Let n = u + -38. Calculate the remainder when 30 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4293853.05 to the nearest 100.\nAnswer: -4293900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 3*u + 17, -q - 3*u - 11 = u. Let k(c) = 18*c - q*c - 4*c. Let m(b) = -95*b + 95*b - b**2 + 2*b**2. Calculate m(k(l)).\nAnswer: 81*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -989144 divided by -8\nAnswer: 123643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7329 times 5\nAnswer: 36645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*p**2 + 56*p + 384 wrt p?\nAnswer: 6*p + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/30 + (49\/(-21))\/7. Let d be (-18)\/(-99) - (-4754)\/231. Let h = -61\/3 + d. Which is the closest to r? (a) -1 (b) -2\/13 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bppcpcibpsicpbppc. What is prob of picking 1 i and 1 p?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 520\/(-100) + 2*1\/(-4)*-10\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -5 + 3 + 8 + 3 - -14?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.073 times -36\nAnswer: 2.628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 3*r**2 + 9*r + 2. What is h(-6)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - -0.117?\nAnswer: -19.883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxff when four letters picked without replacement from {x: 3, f: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -4*x**5\/15 + 12*x**2 - 6. Let z(y) = 24*y. Calculate z(p(i)).\nAnswer: -384*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 9)*(-2*s**5 + 242*s**3 + 5154*s - 5154*s).\nAnswer: 14*s**5 - 1694*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2972 and 90.\nAnswer: 133740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4728 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 83*b**6\/15 - 5*b**4\/12 - 559*b**2 + 884*b. Differentiate n(q) with respect to q.\nAnswer: 664*q**3 - 10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 4, 0.2, -5, -149?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1113 and 922677?\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50.013 + -0.013. Let x = u + -46. Let c be ((-3)\/(-8))\/(3\/(-2)). Sort x, c, -3.\nAnswer: -3, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 99.91 - 99.87. Sort h, -2, 1\/2, 17 in ascending order.\nAnswer: -2, h, 1\/2, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2380, 11179, 25844, 46375, 72772, 105035, 143164?\nAnswer: 187159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(264)\/sqrt(6) + sqrt(44) + -2.\nAnswer: -2 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010 - -111011011010?\nAnswer: 111011101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 128*f + 53*f - 5530998. List the prime factors of f.\nAnswer: 2, 3, 11, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - g**2 - 2*g + 3. Let x be l(2). Suppose 16 = 3*z + 5*o - x, -5 = z - 4*o. Suppose z*q + 31 = 85. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -618 + 1116. Let f be (-2)\/4*(-16 + r). Does -241 = f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(240\/10)*12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11182381 and 1763?\nAnswer: 480842383","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 123 = 27. Calculate the remainder when 273 is divided by m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j - 41 + 53. What is the third derivative of -2*s**j - s**5 - 22 - s**2 + 14 + 9 wrt s?\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -43682, 2, 67.\nAnswer: -43682, -5, 2, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (57 + 1 - 8). Suppose 7*n - 32*n = r. Which is the third smallest value? (a) 17 (b) 3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 7*g + 5. Suppose 5*q = 5*j + 25, -10 = -5*j - q - q. Suppose j = -o + 5 + 2. Let l = o + 0. Let p(v) = -10*v - 7. Determine l*h(s) + 5*p(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 778 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + 0 + -1 + 1. Let q be 3\/7 - 86562\/(-49). What is the common denominator of 47\/14 and h\/(-22) - q\/462?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 927606781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (13 - 12 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10367846.\nAnswer: 2, 71, 73013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (74 - 0)*(2\/(-6))\/((-4)\/498)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 757 (base 16) to base 11\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 15*k - 2*k. Let n be 225\/54 - (2 + 2). Which is the closest to 1? (a) k (b) n (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32515240 divided by -6503048\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -m + 9, -m - 6 = -3*s - 0. Solve 4*y**2 + 10\/3*y - 4\/3 + 2*y**5 - 8\/3*y**4 - 16\/3*y**m = 0.\nAnswer: -1, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 6*b**2 - b + 1. Let i be o(4). Let x(p) = p**3 + 5*p**2 - 4*p + 14. Let q be x(-6). Solve -5*c = q*k + i, -c + 4*k + 0 + 3 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, w: 1, p: 5, l: 6}. Give prob of sequence llpw.\nAnswer: 5\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -7*q**3 - 166*q**2 - 536*q - 9631. What is r(-23)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -17*1575.13\nAnswer: -26777.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v. Let q(z) = 6*z. Let s(k) = -2*k - 2*k + k + 2*k. Suppose -5 = j - 6*j. Let b(r) = j*q(r) + 5*s(r). Give -3*b(x) + o(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*d = -12*d - 116 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 510.4 - 510. Sort s, -0.0333, 4 in increasing order.\nAnswer: -0.0333, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 3:33 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 22*r + 195. What is p(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1807 - -1601. Suppose 100*r + q = 112*r. Calculate the remainder when r is divided by 48.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68 - 62*a - 18 + 122*a + 20 - 63*a to h + s*a and give h.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (6*-1*sqrt(88) + sqrt(88) - sqrt(88))\/sqrt(8) + 4 + -4.\nAnswer: -6*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 32*g**2 + 36*g + 7. Let m be v(-18). Is m - 19\/(19\/6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62 and 10819.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -3\/5, 3, -0.4.\nAnswer: -3\/5, -0.5, -0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -1. Let a be ((-36)\/(-15))\/(-3)*-5. Let s = a + -5. Let r(l) = -7*l. Let t(q) = -8*q. Let w(v) = 7*r(v) - 6*t(v). Calculate s*w(x) + f(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14855848 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) + sqrt(187)*-3)*4 + sqrt(187))\/sqrt(11)*3.\nAnswer: -21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 9 = 2*q. Calculate the greatest common divisor of 2 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wz when two letters picked without replacement from {v: 2, w: 3, z: 5}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-57 - -11) - (-23 + 24 + (10 - 2)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -5*m**4\/24 + m**3\/3 - 7*m**2. List the prime factors of b(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 9, 17, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 858522757.\nAnswer: 29, 29604233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -569*u**2 - 8*u. Let q(w) = 6*w. Give q(z(d)).\nAnswer: -3414*d**2 - 48*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 7 - 3. Let a = -6 - -3. What is the third biggest value in a, m, -0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -11 + 13*s + 23 - 14 + 388129*s**2. Let m be y(-4). Suppose 0 = 3*g + 15, -3*l - g - g = m. What is l rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 - 882*k.\nAnswer: 3*k*(k - 294)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 877*m**2 - 506*m**2 - 1823*m**3 - 201*m**3 - 2847*m**2 wrt m?\nAnswer: -12144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2725686 is divided by 1362839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 3*d + 8, -4*d = -5*r + 2*r - 13. Is r\/(-5) - 12072\/(-60) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a milligram in micrograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 13*o - 150. Let q(j) = -j - 13. Calculate q(t(z)).\nAnswer: -13*z + 137","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -110476.85 rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 443960 is divided by 466.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9851393093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 19*b + 43. What is p(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -24247.\nAnswer: -9698.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/1)\/(-4) + (3 - -8). Solve 0 = -2*i + 5*u + 14, i + 5*u + 13 + f = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilometer in millimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/325 and -23\/1300.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + -6.1. Let j = 9 + t. Which is the closest to -0.1? (a) j (b) 0 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of n**5\/10 + n**4\/4 + n**3\/3 + 5*n**2\/2 + 15*n + 2. Is p(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 950620.214 rounded to the nearest ten?\nAnswer: 950620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**3 + 50*k**2 + 50*k + 59. Give d(26).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80101 is divided by 2670?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*y**3 - 12*y**3 - 5*y**3 + (3*y**2 + 6*y**2 - y**2)*(-1 - 2*y + 1) in the form m*y + i*y**3 + n + x*y**2 and give i.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*(v*v\/(v\/v**(3\/2)))\/v*v))\/(v*v**(-25)\/v)*(v\/(v\/(v**37\/v))*v)\/v**(-2\/113) assuming v is positive.\nAnswer: v**(13451\/226)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -2*s + 19, -157*x + 156*x + 5 = s for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331316 is divided by 1001?\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 161750594*m**3 - 254*m**2 - 71144?\nAnswer: 970503564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 164747976311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drasarradsraasdd. What is prob of picking 2 r?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 25*f**2 + f + 5. Let j = 213 - -50. Let m = 260 - j. Let c(l) = -13*l**2 - l - 3. Determine m*h(w) - 5*c(w).\nAnswer: -10*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*w**3 - w**3 - w**3)*(-5*w - w + 4*w) + 19*w**4 + 26*w**4 + 5*w**4 to z*w**4 + t*w**3 + y*w**2 + x*w + o and give z.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, o: 3, g: 1, m: 2, l: 3}. Give prob of picking 1 m and 1 l.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-39)\/15*((-488975)\/(-120) - -5). Let f = m + 10603. Calculate the common denominator of f and -10\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 10:07 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -15\/2 (c) 0.2 (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4 + 0 - 34*d + 2*d**2 + 0*d**2 + 30*d. Let m be v(-1). Suppose -5*g - m*x + 32 = 90, -x + 16 = -2*g. Is g < -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 634970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k + 5. Let t be i(7). Let c be 1\/(-2) - (-38)\/(-4). Let l be -1*t*c\/(-4). What is the greatest common divisor of 55 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*n - 14 = -4*z, 39 = 3*z + 2*n + 44 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 113603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -38, -41, -44, -47?\n\"Answer: -3*p - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 7*l - 41. Let o be n(14). Suppose o = 4*v - 43. Do v and 26 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1133.01237 - 1133. Let u = c - 2359.01237. Let p = u + 2369.77. Round p to 0 dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence noqo when four letters picked without replacement from {o: 2, m: 8, q: 2, n: 3, p: 5}.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + (sqrt(637))**2).\nAnswer: 1272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2401\/33 + -804\/11. What is the second biggest value in -2\/3, -4, y?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = q + 20006018, 3*q - 2*t = -41802065 - 18215947. What is q rounded to the nearest one million?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -8*h**2. Determine w(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13284 and 4860.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**3 + g**2 + 5. Let q be d(0). Suppose 5*n - 4 = 4*n. Suppose -5*x + 13 = k, 4*x - 5 = -n*k + q*k. Solve 0 = 2*p - p + x for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -1044*a**2 - 2*a + 50. Let o(b) = 3*b**2 + 8. What is 6*o(g) - p(g)?\nAnswer: 1062*g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r + 8. Let n be a(-13). Let l be (-3 + 15)*n\/(-20). Solve -2*c + l = -7 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -3*x - 9, 2*k + 2*k - x - 10 = 0. Suppose -2*o + 6 = 3*m - 1, 20 = 5*m - 5*o. Let y = -3 + m. Solve k*f + 2 + 3 = -u, -u + 2*f + 5 = y for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39966325891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 90722 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: Calculate prob of sequence fd when two letters picked without replacement from {f: 7, x: 4, d: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.205 - 2.205. Put -8, 1\/4, g, -1\/2 in decreasing order.\nAnswer: 1\/4, -1\/2, g, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*c**3 - 14*c**3 - 1 + 10*c**3 + (-3*c + 4*c + 0*c)*(93 + 30*c**2 - 93) in the form q + z*c**3 + j*c + n*c**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -50793, -405968, -1370011, -3247356, -6342437?\n\"Answer: -50739*z**3 - 2*z - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171972716.\nAnswer: 2, 42993179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - t + f + 490, 2*t - 5*f = 344. Suppose 2*c = -2*r + 596, 0 = -r + 2*c + 121 + t. Suppose 0*a - a + r = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*v + 3*v + 0*v + 354375 = 0. What is the hundreds digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence md when two letters picked without replacement from mdjeeeemlme.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3*(100\/(-15) - -7)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - 4 - 20\/(4 - 8). Solve -10 = -c*o + 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -288 (b) -2\/145 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136 - 18083 = -1280*b + 1805*b + 28253 for b.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 145\/(-203)*4\/10?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -8, -2*h + 3 + 1 = 2*x. Suppose 4 = x*q - 4. Calculate the highest common factor of 3 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4, -7, -10, -13?\n\"Answer: -3*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 11)\/(1 + -5 + (-11 - -11))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.8 plus -0.5771?\nAnswer: 16.2229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 0. Suppose r + z = 4. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 683 equal to 681?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 584 + 1315. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o. Let b(x) = x + 195. Give b(a(z)).\nAnswer: -2*z + 195","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1492*z - 4474*z + 12*z**3 + 1489*z + 1493*z.\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 7*u**2 + 4*u + 5. Give j(-7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h + 3. Let f be t(7). Suppose f = -3*s + 25. Solve 0 = 5*d - 5*x - s, x = 2*d - 6 + 1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3567 is divided by 83.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40117 and 174878.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*s + 12*s + s. What is the nearest to -3 in -4, -1.3, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d4d2 - 1658?\nAnswer: 1be7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24725.5 + -24725. Which is the biggest value? (a) -4 (b) q (c) -3295\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -6697080.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((1*sqrt(684) + sqrt(684))**2 - sqrt(19)).\nAnswer: -sqrt(19) + 2735","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**2 - 7066 + 7066. Let i(p) = 12*p**2 - 4. Determine i(l(s)).\nAnswer: 48*s**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 57417643 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -48 + -269909?\nAnswer: -269957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 12*c**2. Let h(y) = -26*y - 360. Let g be h(-14). Let u be 32\/6*(3 - -18). Let f(x) = -g*x**2 + x**2 + 112*x - u*x. Give f(i(k)).\nAnswer: -432*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/4*39 - 3. What is the common denominator of -95\/6 and (1*(-436)\/(-90))\/(h\/27)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -304945732 - -312.\nAnswer: -304945420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v + 3*v**4 - 2*v + (3*v - 3*v + 2*v**3)*(7*v - 6*v + 8*v) to m*v**2 + a + u*v + z*v**3 + g*v**4 and give g.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/10)\/((-420)\/450)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550)*4)\/sqrt(11)*-3 + (sqrt(350) - (sqrt(350) - sqrt(350)*3)*-2)\/sqrt(7).\nAnswer: -75*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15689.\nAnswer: 29, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 1\/6*l**4 + 0 + 2*l - 1\/2*l**3 + 0*l**2. What is the units digit of u(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 5 (b) 0.1 (c) 153 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g = 425 - 525. Let s = 1.59 + -6.59. What is the closest to g in s, 1\/2, -2\/9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 7. Suppose -i + v*l - 22 = 0, -1 = i + 2*l + 15. Is 5 a factor of 8\/i*-3*(49 + -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-66)\/(-220))\/((-24)\/(-20)). Is q at most as big as 278?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**3 - 1750*s**2 - 55232*s - 439808 = 0. What is s?\nAnswer: -1718, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.2 - 0.2. Let d = -5\/39 + 37\/897. Sort d, -2, r.\nAnswer: -2, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 - -28. Suppose 3*x + 85 + 86 = y. Let u = -34 - x. Calculate the remainder when u is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 102*i - i**2 - 53 + 15 + 22.\nAnswer: -i**2 + 102*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3448 + -1601. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 10:39 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*a + 5. Let w(n) = -n + 2. Let f be w(a). Solve f*d = -1 - 7 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/13? (a) -5 (b) -40 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 51329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/5)\/((r**(-3)\/r)\/r) assuming r is positive.\nAnswer: r**(27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 660.7718 nanometers to meters.\nAnswer: 0.0000006607718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.13 - -6.13. Sort -5, -0.1, 0.13, g in ascending order.\nAnswer: -5, -0.1, g, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - 1 - (-2 + -32). Let b = -96 + 68. Let d = a + b. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -113\/218 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4813683043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -16.5. Let o = -19.971 - -21.97. Let p = 0.001 + o. What is the nearest to 1\/3 in p, 0.2, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*l = -30*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 127 = -m + 2*w, 2*m - 286 = -2*w. Let i = m + -128. What is the greatest common factor of 55 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.4 + 0.4. Let m be -2 + 213*(-4)\/(-195). Let i = m - 36\/13. Which is the third smallest value? (a) t (b) i (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in minutes?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/10)\/(6\/(-15)). Suppose -p + 2*x = o*p + 2, -2*p - 4*x + 4 = 0. Solve -a - 4*g + 3 = p, 5*a + 3*g = g + 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 21 + 34 + -70.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 11*w**2 + 24*w + 6. Let h be a(-8). Solve -4*m - 2*p + 12 = 0, -m = -h*m - p + 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 3*p**2 - 3*p**2)*(-p - 4*p + 0*p) - p**3 - 5*p**2 + 5*p**2 + (-4 + 4 + 3*p)*(3*p - 3*p - 2*p**2) - 5*p**3 + 3*p**3 + 0*p**3.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18336164 is divided by 426422.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**3 - 4*v**2 + v**2 + 2*v**2 + (0*v - 4*v + 2*v)*(v**2 + 5*v**2 - 5*v**2) to the form h*v**3 + l*v**2 + g + u*v and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l + 12. Let a(c) = -5*c + 23. Let f be ((-4)\/8)\/((-2)\/16). Let y(r) = f*a(r) - 7*v(r). What is the smallest common multiple of y(-6) and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = a + 6 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15422714?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*9555.\nAnswer: 143325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5792262, -11584504, -17376746, -23168988?\n\"Answer: -5792242*q - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a decade in months?\nAnswer: 1620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6912705mg in grams?\nAnswer: 0.0006912705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2432791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 24*b**2 - 199*b + 109. Determine d(8).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 2. Is 15 a factor of j(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*s + 11669 - 11669.\nAnswer: 26*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -217.94276 - 0.1.\nAnswer: -218.04276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 10 = -5*v. Suppose -3*k - 4*j = -5*j - 162, -4*j - 277 = -v*k. What is k rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-3))\/(1\/(-33)). Let z be -1 + (-2 - -62*1). Let m = z - c. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -143250?\nAnswer: -143252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 + 308928*j + 7953042432.\nAnswer: 3*(j + 51488)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 6 - 24 = 0. Let p(d) = d**2 - 9*d + 14. What is the tens digit of p(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k**3 - 13*k**2 - 6*k + 6. Let p(d) = 4*d**3 - 13*d**2 - 5*d + 5. Let m be (-42 + 37)*1\/(-1 + 0 + 2). Calculate m*w(t) + 6*p(t).\nAnswer: -t**3 - 13*t**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 10*i - 196 = 0. Suppose -20*c = -i*c - 392. Let f = c + 79. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/70 and -109\/36512.\nAnswer: 182560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - -244511?\nAnswer: 244502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 232031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 8 - 3. Suppose 7 + a = 2*q. Let m(x) = x**3 - 9*x**2 + x - 6. Calculate m(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3*a + 246 = -a, 4*w - 180 = 4*a. Calculate the common denominator of w and (-88)\/(-18) + 1\/(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109564\/9 - ((-1)\/(-3) + (-10)\/18)?\nAnswer: 2, 3, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b7 (base 13) to base 2.\nAnswer: -10010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 u when four letters picked without replacement from vvvvuvvvvvvvuuuvvuvv.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -12*a + 1. Let c be (4\/6)\/(4\/(-18)). Let w be l(c). Suppose 2*t = y + w, -2*y + 6 = -0*y. Calculate the least common multiple of 22 and t.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - -7 - 30\/3. Let z be y\/(-12) - 1\/2. Put z, -7, -4 in increasing order.\nAnswer: -7, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 55. Let r(n) = -3857*n. What is g(r(w))?\nAnswer: -14876449*w**2 - 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 167*b + 41. What is the tens digit of f(-44)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 38*r + 34. Let l(a) = -13*a - 12. Let o(t) = 6*d(t) + 17*l(t). Let c(n) = -1. Let w(s) = -5*s + 1. Let k(i) = c(i) + w(i). Determine o(k(g)).\nAnswer: -35*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 643352249*j - 469539244 wrt j.\nAnswer: 643352249","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*q**2 + 0*q**2 + 0 + 0 to w*q**2 + y + g*q and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10461 = 109*s + 208*s for s.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/3)\/5 - (-4)\/(-12). Suppose 5*l = 10, p*l + 2*l = g - 9. Solve 3*o + 2*q - g = 0, -2*q = 3*o + o - 18 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 19*a - 2. What is n(-20)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30.943 + 4.024. Round i to zero dps.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102696 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6205375?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -10969623 times 8\nAnswer: -87756984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/5*o**3 - 8\/5 - 16\/5*o - 2*o**2 = 0. Calculate o.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.138 or -21\/94?\nAnswer: -0.138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13 and -35.\nAnswer: -455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u - 11. Let i(f) = -5*f - 12. Let w(g) = -6*h(g) + 5*i(g). Let m be w(8). Let l = -2 - m. Solve -3*y - y + 4 = l for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 - 15.7. Let q = c - -65. Let j = -4.299942 + q. Round j to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 0.5 (b) 11 (c) 0.2 (d) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 119880 and 1800.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 185 + -2032\/11. Suppose -4*i - 5*w + 4 = 0, w - 4*w = 0. Which is smaller: i or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -11*t**6\/120 - 5*t**5\/12 - t**2. What is the third derivative of r(w) wrt w?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - 5)*(-7 - (-90)\/(-14)). Solve -l*u - 3 = -91*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(2) + sqrt(2)*-1)*6 - ((sqrt(8)\/sqrt(4))**2 - sqrt(2))*3) - ((-5*sqrt(8) - 3*(-1 + sqrt(2))) + -4).\nAnswer: -11 + 19*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 less than 227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 27503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2787463737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and -5013792?\nAnswer: 5013791.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*w + 3 + 15*w + 4 + (29 + 45 - 46)*(-10 + w + 10).\nAnswer: 33*w + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-12) + (-18)\/3 + 5\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 9:49 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1 + sqrt(2)*3 - ((sqrt(200) - (2 + sqrt(200))) + sqrt(2))) + ((2*sqrt(1024))\/sqrt(8)*-3*-1)**2.\nAnswer: 2*sqrt(2) + 4610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -21967 * 2768\nAnswer: -60804656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/(-117) - (-226)\/(-72) and -97\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84777.\nAnswer: 3, 7, 11, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3\/4 - 428935*y**2\/2 - 187193875*y\/4 - 2551325940.\nAnswer: 5*(y - 171792)*(y + 109)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/2 - -3) + 213. Suppose p + g = 6*p. Does 18 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101 + -112 - (-21 - -1 - (-22 - -22)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-125)\/(-40) - -2*1\/(-16). Let w = 25 + m. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**2 + 563*u - 573. What is x(280)?\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -24*b + 28. Let h(a) = a - 1. What is 84*h(p) + 3*v(p)?\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7715, -7715, -7717, -7721?\nAnswer: -7727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 11:36 PM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5420238.6*3.\nAnswer: -16260715.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -6, -2, 0 in increasing order.\nAnswer: -6, -2, -1\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15435\/(-4756185)*(1 + 10\/(-14)). What is the closest to v in -2\/5, 1\/2, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16678 = -9*t + 19475. List the prime factors of t.\nAnswer: 3, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - (2296 + 1))\/((-13)\/143) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 23*b - 1. Let v be c(23). Let u = 0.16 + -0.18. What is the closest to -2 in v, -2\/9, u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in -284, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 - -49. Let b be (-17)\/(-5) + (-4)\/q. Suppose 3*p - 4*u = 23, b*p = -3*u + 2*u - 2. Which is bigger: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 7*v - 7. Let s be b(6). Suppose 10 = 5*q, 2*q = 5*h + 5*q - 96. What is the remainder when h is divided by -2 - (-2 - s) - -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/6 + 1 + (-6776)\/(-3696))*-50.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 15 = 2*a, 5*a - 5*y = -y + 5. Find h such that 7\/3*h**a - 13\/3*h**2 + 0 + 2\/3*h - 23\/3*h**4 + 9*h**3 = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v - 5*v + 6*v)*(69 + 3*v + 30 + 95 - 37).\nAnswer: -9*v**2 - 471*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + 9\/6*2. Let z be -2*j\/((-6)\/(-9)). Suppose z*d - 3*f + f - 64 = 0, -4*f + 4 = 0. Is 22 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -3)\/(3\/(-9)). Let q(w) = -2*w**3 - 5*w**2 - 2*w - 4. Let k(z) = -4*z**3 - 11*z**2 - 4*z - 9. Let o(d) = l*k(d) + 7*q(d). Give o(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -5, 3\/5, -2\/5 in ascending order.\nAnswer: -5, -2\/5, 3\/5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*f = 7201, -2*t - 5*f + 1889 = -1674. What is the highest common divisor of 9269 and t?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2. Let y(f) = f**2 - 4*f - 2. Let u be y(-4). Let c(v) = 91*v - 12*v - 32*v - u*v. Calculate i(c(s)).\nAnswer: 289*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dccccdcdccccdccccd. What is prob of picking 3 c and 1 d?\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 4. Let m(r) = r**3 - 17*r**2 + 30*r + 5. Let k be m(15). Let s(g) = g**2 + 4*g. Let b(t) = 3*t**2 + 9*t. Calculate k*s(n) + z*b(n).\nAnswer: -n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12979732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 62, -125, 89 in decreasing order.\nAnswer: 89, 62, 6, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3186 - -3210. What is the biggest value in 9, -0.5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than 2062?\nAnswer: 2062.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 2 - 3\/2*g**2 + g + 1\/3*g**3. Is f(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7406236664 - -2094.\nAnswer: 7406238758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((10\/(-9))\/(12\/(-45)))\/(-18*9\/324).\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*t + 58 = 0. Let l be 1 - t*(-3)\/3. Suppose -5*u + 18 + l = -2*q, 0 = u - 2*q - 16. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52 + 50. Let m(k) = -5*k - 5. Let f be m(t). Solve 5*s = -f*j + 30, -s - 5*j + 17 = -1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 6, -745, 173, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/490 and 29\/42 + (-7)\/(-4) + (-300)\/600?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + -162?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2102001001 (base 3) in base 8?\nAnswer: 134465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/39? (a) -1\/5 (b) -1038 (c) 0.3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5571850 to the nearest integer?\nAnswer: 2360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/5 + (-3)\/(-12). What is the nearest to 0 in c, -0.5, 2\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 663*v + 28 = -665*v, 0 = -33*r + v - 857 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-27)*(-6)\/(-4). Let l be ((-1)\/(-8))\/(2\/4). Which is smaller: t or l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l. Let r be w(-2). Let a(v) = -2*v**r + 18 - 12 - 9 - v**3 + 5*v. Calculate the remainder when 33 is divided by a(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -419? (a) -5\/2 (b) 0.1 (c) 3\/4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 55315*f**2 - 194*f - 198. List the prime factors of y(-1).\nAnswer: 3, 103, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 5 + 37. Let r = g - -37. Suppose -7 = -4*c + r. Solve 4*m = -5*n + 37, -m - 3*n - c = -21 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 1\/2, 57, 1\/5, -1?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8608551?\nAnswer: 3, 7, 79, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -1\/240*a**5 + 17\/6*a**3 + 9*a**2 + 0*a + 2 - 1\/3*a**4. Factor t(s).\nAnswer: -(s - 2)*(s + 34)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 0. Let g = -5752.9 + 5752.8. Which is the closest to v? (a) -10 (b) g (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27961 - -43337. Suppose 13*t - z + 2753 = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39731, -39715, -39699, -39683, -39667?\nAnswer: -39651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1519*k**5 - 1242*k**5 + 61*k**5 + (-3*k - 3*k + 5*k)*(-2*k**4 + 2*k**4 - 3*k**4).\nAnswer: -2697*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.4 + -4.7. Let v = -7 + 8. Let p = v + r. What is the closest to 0 in 3, p, 2\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40833.47 rounded to the nearest 10?\nAnswer: 40830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-172)\/(-301))\/((-4)\/(-126))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m**3\/2 + 37582*m**2 + 75162*m = 0. What is m?\nAnswer: -75162, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*g**6*p**2 + 11*g**4*p - 90*g**2 - p**2 - 2*p wrt g?\nAnswer: 1560*g**3*p**2 + 264*g*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*d - 26, 3*o - 8*d + 3*d = -2. Let s(p) = 278*p - 380. Is s(o) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + w + 403 + 1152 = 0, 4*w = -3*l + 2338. Let m = l + -432. What are the prime factors of m?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 242262 and 258.\nAnswer: 242262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*k = 115*k + 3*p + 14, 4*k = -4*p - 12 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 151487108 and 3084?\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*f**3 + 13*f**3 + 14*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1865.\nAnswer: 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1530006 + -3 + 1 - 4. What is x rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 55, -74, -419, -1088, -2189, -3830?\n\"Answer: -18*z**3 - 3*z + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/3 - 20312*t**2\/3 - 1897573*t\/3 - 1877260\/3.\nAnswer: (t - 20405)*(t + 1)*(t + 92)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - ((sqrt(1452) - sqrt(1452)*-2) + sqrt(12)))\/(sqrt(484)*2 + sqrt(484)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**4 - p**4 + p**4 + (-4*p - 2*p + 5*p)*(4*p**2 - p**3 - 4*p**2) + (p - 2 + 2)*(-p**3 + 0*p**3 - p**3)*(5 - 1 - 3).\nAnswer: -3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1229 = -50*q + 729 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 8*f. Let b(g) = -53798*g. Determine b(k(j)).\nAnswer: -430384*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 p when two letters picked without replacement from vmippmpmipv.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -401*f*k**4 + 125*f*k**3 + 1120371*f - 2*k + 4 wrt k?\nAnswer: -1604*f*k**3 + 375*f*k**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/5 + 62*q\/5 - 12.\nAnswer: -2*(q - 30)*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 9 = 0, 9*d - 13*d - 562 = -g. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - r + 2. Let u = 18 + 4. Suppose 5*a = 3*a + u. Calculate the least common multiple of a and k(3).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1)*(l**(2\/11)*l)\/l)\/(l**(1\/2)*l*((l*l*l**(-5))\/l)\/l))**22 assuming l is positive.\nAnswer: l**81","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 5. Let p be -4 + 1\/(-1 + m). List the prime factors of (-3)\/p + (-7)\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/(14\/(-4)) - 119 - (5 + -1). Which is the third smallest value? (a) r (b) -2\/3 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32646 + 59046. Does 25 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 j, and 2 t when four letters picked without replacement from jjjttitoejoi?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5 = -2*g, 4*g - 5*o - 5 = 3*g. Suppose g = -3*t + r + 607, 4*r - 1360 + 337 = -5*t. Suppose -2*x - 79 = -t. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*r**4 - 42*r**3 - 168*r**2 wrt r?\nAnswer: 72*r - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/2 - 175*q**2\/2 - 591*q - 504.\nAnswer: -(q + 1)*(q + 6)*(q + 168)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 1220*x - 8547. Calculate j(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of w**8\/221760 + w**7\/3960 + 49*w**6\/7920 + 7*w**5\/60 - 14*w**2. Let r(p) be the third derivative of f(p). Factor r(u).\nAnswer: (u + 7)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*p**3 + 3*p**2 - 3*p**2 + 58.\nAnswer: -23*p**3 + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34446*n**4*o**3 - 64*n**3*o**3 + 621*n**2*o**3 - 6*n**2 - 14*n*o + 10*n wrt n?\nAnswer: -826704*n*o**3 - 384*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1064 + -40. Let n be 7\/2 - (-3)\/6. Suppose n*y - 4*r = f, 3*y + 4*r = -y + 984. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(3\/5))\/z*z)**(3\/10)\/(z*z\/((z*z*(z\/(z*z\/(z\/(z\/(z**(2\/15)*z*z*z)))))\/z)\/z)*((z**(-14)\/z*z)\/z)\/z) assuming z is positive.\nAnswer: z**(1246\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + (27 - 5) - 4) + -27?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -28844, -62004, -117270, -194642, -294120?\n\"Answer: -11053*r**2 - r - 17790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1268*3243\/368)\/(3\/(-4)).\nAnswer: 47, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 162\/9)*((-14)\/(-4) + -4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/5)\/((-954)\/(-2120))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 117*z - 119*z. What is the greatest common factor of 160 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 5*d**2 - 2*d + 10. Let s be f(5). Let j be s - 2 - (11 + -7)*-183. Round j to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (7 - 0 - 15 - -8 - -1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 22*l - 18. Let f(j) = -j**2 - 20*j + 16. Let t(r) = -11*f(r) - 10*k(r). Let v = 8 + -6. Let i = 5 - v. Determine t(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0 (b) -0.4 (c) -7\/5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -32 - 6dad52?\nAnswer: -6dad84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5*w**3 - 314*w**2 - 714*w - 85. Calculate g(65).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 76*c + 329. Determine a(-3).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-195)\/(-12) - (630\/56)\/(-15). Suppose -3 = z - 8. Let w(s) = 7*s + 4*s + 7 - l*s + z*s. Give w(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 0 + 0*q**3 + 1\/12*q**4 + 0*q**2 - 1\/20*q**5 + 4*q. Find the third derivative of z(m) wrt m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(2\/9))**(6\/13)\/((w**(2\/7)*w)\/w)**(-19))**(-14))**(-1\/30) assuming w is positive.\nAnswer: w**(316\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.621083 to 2 dps.\nAnswer: 0.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 40*m**4 - 158855*m**3 + 155217885*m**2 - 58184370*m = 0.\nAnswer: 0, 3\/8, 1734, 2237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/1584*407)\/(((-68)\/1530)\/(1\/5)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5.3 at least as big as 562769?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10127 + 14562. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 334666708?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/11 (b) 1\/4 (c) 1\/2 (d) -0.38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -264*l*o*u + 2*l*o - 436*l + u wrt o?\nAnswer: -264*l*u + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 365962833 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2442)\/373626)\/(2*(-2)\/24)?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 9:24 AM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 9*v - 44. Suppose 0 = -v*k + 12*k - 27. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -175817271*f**5 - 3*f**2 - f + 9053628.\nAnswer: -10549036260*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -205\/6 - -619\/18. Let o = -0.3 - 0. Let a = o - -0.2. Which is greater: a or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 k when two letters picked without replacement from dhdkqkekqhdhlq?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 793 - 821 = -7*v. Suppose -36 - 24 = -3*c. Solve -i + c = v*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2296?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 5*x**2 - 863670*x - 13820000 = 0.\nAnswer: -16, 172750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1711953740 and -0.392.\nAnswer: 1711953739.608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.8 - 2. Let d = 5.41 + -5.2. Let v = d - -0.09. What is the closest to l in 0, v, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -44705*k + 98. Is z(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5*a**2 + 18*a - 1920. Let f(w) = -4*w**2 + 12*w - 1921. What is -3*f(h) + 2*n(h)?\nAnswer: 2*h**2 + 1923","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9316, -18633, -27952, -37273, -46596, -55921, -65248?\nAnswer: -74577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 17*w. Let t be k(1). Let c = 25 - t. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 7*p**2 + 15. Let v(w) = 8*w**2 + w + 16. Let y(l) = 6*u(l) - 5*v(l). Is y(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 966 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -206, -203, -198, -191?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + -2 + 39 + (-34 - (-16 + -6))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 7\/32*a**4 + 0*a**3 + 1\/80*a**5 + 0*a - 75*a**2 + 0. What is h in t(h) = 0?\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-10)\/20 + -1)\/(15\/(-775490)).\nAnswer: 77549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*p + 700*p = -171*p - 231*p - 55998 for p.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -652647 by 3.\nAnswer: -217549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-106)\/(-795))\/(4\/(-10)). Sort j, -4, 64, 5 in decreasing order.\nAnswer: 64, 5, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.12, 0.5, 7 in descending order.\nAnswer: 7, 0.5, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) 0 (b) -0.05 (c) 2\/7 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 763.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 1 = 3. Suppose -4*y + 16 = p*h, -2*y - 1 + 15 = 5*h. Suppose -y*i - 4 = -2*g, -2*i - 2*g + 7 = -5. What is the second biggest value in 0.1, -0.2, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 6 - -17) + -6 + -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -2*t + 6, 888*t + 6*f = 892*t - 16 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrlrrlrrlr. What is prob of picking 1 r and 2 l?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22789 and 31876?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 219 - 471. Let a = x - -360. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7 - (0 - 0\/1). Let y be i\/(14\/(-12)) - 0. Suppose a + 2 = y. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 10:59 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/5912 and 43\/11824?\nAnswer: 11824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.9979205 rounded to three decimal places?\nAnswer: -2.998","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -344 + 5?\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2232503 - 4?\nAnswer: 2232477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/16? (a) 9\/5 (b) 1 (c) -0.9 (d) 0.5 (e) -2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*f**3 + 9*f**3 - 20*f**3 - 10 + 2 as p*f**3 + g*f + a + u*f**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9010738.9358 + 2.\nAnswer: -9010736.9358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 9*s**2. Let n = 19 - 16. Let u be d(n). Let q be (-18)\/u - (-29)\/9. Solve 5*x - 4*w + 14 = 0, 2 = -x + q*w - 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/2, -4, -3, 0.2 in ascending order.\nAnswer: -4, -3, -5\/2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -306.15 - -296. Let t = q - -11. Let h = t + -0.921. What is h rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2422 + -304?\nAnswer: -3231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -312333212 - -10?\nAnswer: -312333202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 6 (c) -0.04 (d) 0.06 (e) -0.3 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*t + 26*t - 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2604)\/2685 + (-2)\/(-5). Let h = d + 16439\/2148. Calculate the common denominator of h and 93\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(1377) + 1)*-5)**2 + -5 - (sqrt(85) + -3*sqrt(85)*-1)\/(sqrt(5) + sqrt(80)*-2)).\nAnswer: 3154*sqrt(17)\/7 + 34450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -7*n - 11. Let y(x) = -2*x**3 + 17*x**2 + 13*x - 38. Suppose 20 = 4*w - 4*k, w - 3*k - 21 = -6*k. Let h be y(w). What is b(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 413 + -133. Suppose z = 0, -2*y + 14*z + c = 9*z. Calculate the smallest common multiple of y and 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -224908.9642 to the nearest 10000.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 2\/15, 4 in increasing order.\nAnswer: 2\/15, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9895 is divided by 129?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1461661 (base 8) to base 3\nAnswer: 210021101210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -311*o**3 + 616*o**3 - 306*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 11*b**2 + 10*b + 22. Let p be v(-10). Suppose 2*k + p = -3*g, 0 = 5*k - 2*g + 3*g + 29. Is 795\/k*-1 - 1 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (7 - 4)) + 18\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3790, -3640, -3484, -3322, -3154?\nAnswer: -2980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/11, -1\/6, 0.164, 0 in decreasing order.\nAnswer: 0.164, 0, -1\/6, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.7984 + 0.2016. Which is the nearest to -1? (a) 4 (b) 3\/4 (c) 23 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3413*i - 1. Let h(n) = 49213*n. Determine h(z(w)).\nAnswer: 167963969*w - 49213","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x + 12*x = -7976. Suppose -91*y + 87*y = -x. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -284 (base 15) to base 13\nAnswer: -352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1425*h**3 - 943 - 13*h + 27*h + 2569*h**3 - 1953 - 15*h wrt h?\nAnswer: 3432*h**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**4 - 135*u**3 + 435*u**2 - 445*u + 150 = 0 for u.\nAnswer: -30, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26932 - -3569. List the prime factors of v.\nAnswer: 3, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 12*i**2 - 3*i - 30. Let z be n(-12). What is the tens digit of (2\/z)\/((-16)\/(-768))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -85 + 91. Calculate the remainder when d is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -143727 (base 10) in base 6?\nAnswer: -3025223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 468 and 20384?\nAnswer: 183456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 = -47*m + 608. Suppose 0*r - 2*r = -2*q + 4, 5*r = 4*q - 10. Is r <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m - 14. Suppose 5*b + 7*v - 98 = 3*v, v + 34 = 2*b. Let d be z(b). Suppose 0*k - d*a + 8 = -4*k, 4*k = 2*a. Solve -k*q = 2 - 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4*v**2 - 109*v - 30. Let q be d(-27). Let n be -2*9\/(-6)*(q - -4). Solve -n = -3*s + 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 11:19 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -442341 - 3?\nAnswer: -442344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8165.\nAnswer: 5, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/18*(-765)\/1190?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (32\/(-12))\/((-2)\/21) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-672)\/(-160) - 8\/(-55)*-3.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3526, -3535, -3558, -3601, -3670, -3771, -3910?\nAnswer: -4093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -389 - -390. Let q be (-9)\/(-6) - (-16)\/4. Which is the biggest value? (a) q (b) z (c) -3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -6*y - 4. Let w be u(-5). Suppose 5*n + w = -q, -4*n + 0*n - 21 = q. Let i be 2\/7 - 3\/(-14). Which is the closest to -2\/5? (a) n (b) -4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1117 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 425 a factor of 1613029167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/(-10))\/((-2)\/25*-5). Let u(r) = 13*r - 1 + k + 9*r. Determine u(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -159 - -165. Calculate the greatest common divisor of o and 2118.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**4 + 5*a - a**4 + 3*a + 1559*a**5 - 5*a - 301 wrt a.\nAnswer: 31180*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 10. Suppose 0 = -c*h + 3 + 7. What is the first derivative of h*m + m**4 + 2*m**4 - 5*m - 3 wrt m?\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4 - 23*u**3 - 51*u**2 + 175*u - 100.\nAnswer: -(u - 1)**2*(u + 5)*(u + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 33. Let j = -16 + l. Which is the second biggest value? (a) -1 (b) j (c) 8\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -2*y**3\/3 - y. Suppose -2*x + 0 + 4 = 0. Let z(t) = -3*t**2 + 5*t**2 + t**2 - t**x. Give z(l(a)).\nAnswer: 32*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67 (base 15) to base 13.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 2:14 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -305 and 0.541.\nAnswer: -304.459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23.5 + 3.5. Let j = a - 48. Let k = -20.99999 - j. Round k to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 5*y**2 + 4*y + 2. Let s be w(4). Suppose -g - 25 = -6*g. Suppose s*x = g*x - 18. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.38432 centuries to months.\nAnswer: 6461.184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and 16523.\nAnswer: 16519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007764 rounded to five dps?\nAnswer: 0.00078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1530 times 52\nAnswer: -79560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 15*l**2 - l. Let u be w(-1). Let k be (20\/u)\/(2\/(-8)). Let y be (-660004)\/10 + (-2)\/k. Round y to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 3*d - 2*p, 208 = 8*d + 4*p + 340 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8\/3 (b) 0 (c) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + -16 + -121 + 20 + 32.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 4 (c) -112 (d) -0.089 (e) -2 (f) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -q**6\/10 - 597*q**5\/10 - 9900*q**4 + 199*q**3 + 118803*q**2\/2 + 3497*q. Find f, given that z(f) = 0.\nAnswer: -199, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/45 + (-40)\/(-18). Let w = -9 - -14. Suppose 0 = w*u - 2*u - 3*n - 456, -4*u - s*n = -590. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -2926*r**3 - 199*r. Let k(f) = 97*f. Let w(t) = -2*j(t) - 363*k(t). Let v(h) = -22*h. What is 22*v(a) - 5*w(a)?\nAnswer: 11*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 2:34 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*m**4 + 278993*m**2 - 8*m - 925844.\nAnswer: -216*m**2 + 557986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 14, l: 5}. Give prob of sequence lxl.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, -0.04, 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*g - 38 = 13 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -26209768 rounded to the nearest one million?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 6*g + 4*g + 26 = 0, 5*g = 15. Solve s*q + 16 = q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of 3*k**6\/40 - k**4\/12 - 5*k**3\/2 - 27*k**2. Is w(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1302?\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*h = -78*h + 299313. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/21 (b) -40265 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*t + 444 = 138*t. Let q(f) = -13*f + 155. Determine q(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 8. Let p be 2 + (3 + -6)\/3. Put i, 4, p in ascending order.\nAnswer: p, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 + 0*l**3 + 0*l**3 + (-3*l - 5*l + 6*l)*(3*l - l**2 - 3*l) - l**3 - 2*l + 2*l)*(4232 - 2263 - 2247 - 6*l).\nAnswer: -18*l**4 - 834*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 512230813864 + 1.\nAnswer: 512230813865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 3) to base 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5\/2, 11, -0.11, 0.03663, -8, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 1079?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*o - 3 = 0. Let z = o + 4. Calculate the remainder when 2 is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 - (-92)\/(-20) - 2\/5. Which is smaller: a or -3\/62?\nAnswer: -3\/62","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1625\/195*3\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2942351*u**3 - 17128271*u**2.\nAnswer: -17654106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -159, -26 in increasing order.\nAnswer: -159, -26, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10246*j + 9113*j + 33990 for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -16. Let k be 18\/12*r\/(-42). Let f = -7 + 6.5. Which is the smallest value? (a) f (b) k (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvo when three letters picked without replacement from vnotqsvovsooosos.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**(-1)))\/b)**29\/(((b\/(b*b**1)*b)\/b)\/(b**(-1\/4)\/b))*(b*b\/(b*b\/(b\/((b**0*b)\/b))*b))**(-20)*(b**1)**(-5\/4) assuming b is positive.\nAnswer: b**(-119\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 1080500?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -19\/17, -0.5, -2\/11.\nAnswer: -19\/17, -0.5, -2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*k + 100 = 14*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6003 less than 5?\nAnswer: 6008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 12:10 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -l**5\/20 - 5*l**4\/12 - 5*l**3\/6 - 3*l**2\/2 + 29*l. Determine p(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 203.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 2:04 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 8*z**2. Let b(q) = -q**3 - 15. Let l(s) = 5*s**3 + 76. Let j(n) = 11*b(n) + 2*l(n). Let g(w) be the first derivative of j(w). Give g(h(v)).\nAnswer: -192*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 4 + -1 - (-3 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6394 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1118023.19 rounded to the nearest 100?\nAnswer: 1118000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 100100010010101000 (base 2) in base 15?\nAnswer: 2e09d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 106*v**2 - 84*v + 339. What is t(-105)?\nAnswer: -1866","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 7:48 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19017 + 19016.99989809. Round k to six dps.\nAnswer: -0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14717135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 1137*k**2 - 1183*k - 9. Is i(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-10) + (-48)\/(-30). Let -2 + 2*y + 2*y**3 - 5*y + y + 0*y + 2*y**d = 0. What is y?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6228.73 years in months?\nAnswer: 74744.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*r - 2*r + 4*t, 3 = -r - 2*t. Suppose 5*s - r*p + 40 = -0*p, 2*s = 4*p - 22. Put s, 44, 0 in increasing order.\nAnswer: s, 0, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/6*-2*6\/(-20)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -548 - -554. Differentiate -74 + 8*a**2 - z*a + 4*a - 4*a**2 - 105 wrt a.\nAnswer: 8*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30819124 is divided by 9219.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.8 (b) -645 (c) -1788 (d) 0.5 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 8*l - 8. Let n(b) = -b**3 + 13*b**2 - 8. Let q be n(13). Suppose -4*i - 4*p = i + 75, -i + 3*p = 15. Let y = q - i. What is a(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2136888?\nAnswer: 2, 3, 13, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1258 - 0.13. Let r = o - 0.002. What is r rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49.16 - 43. Let j = -0.16 + k. Let y = j - 6.1. Which is the third smallest value? (a) 5\/2 (b) -4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239200099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 + -43 + -4 + (1 - -12).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95164194.\nAnswer: 2, 3, 109, 145511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6234558 to the nearest integer?\nAnswer: 2497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 0.1, -0.01, 14?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 7*v**2. Let f(r) = r + 1. Let m(p) = -p - 6. Let o(a) = -1. Let j(h) = -m(h) + 3*o(h). Let b(t) = 6*f(t) - 2*j(t). Calculate z(b(s)).\nAnswer: 112*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/9, -45, 0.2?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8353424?\nAnswer: 2, 163, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (-2 - -5) + (-11 - -7). Factor 0*s**2 + d*s + 4\/3*s**4 + 0 + 2\/3*s**5 + 2\/3*s**3.\nAnswer: 2*s**3*(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31 and 1622168.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 8*m + 9. Let d be g(7). Let x be ((-96)\/32)\/((3 - 1) + -1). Let j be ((-4)\/5)\/(x\/(-45)*-3). Solve 0*u + d*f + 8 = 3*u, j*u = f + 14 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2921037 = -13744*o - 17394*o - 99349 for o.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*20\/75)\/((-1)\/((-30)\/(-40)))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v + 1. Let w be z(4). Suppose -n - 2*s + 16 = 2*s, s - 4 = w*n. Suppose 4*h + f - 186 = n, -2*h - 192 = -6*h + 2*f. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35300970 and 765.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 62207121, 124414241, 186621361, 248828481?\n\"Answer: 62207120*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwigsvu. Give prob of sequence su.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, h: 1, l: 2, w: 4, q: 3}. What is prob of picking 2 q and 1 h?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1692 + 228514568154.\nAnswer: 228514569846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 32 = s. Let g be 134\/(-4)*s\/4. Suppose d = 2*p - g, p - 2*d - 5 = 27. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*w**2*z**2 + w**2 + 103*w*z**2 - 7*w*z + 13887*w + 5*z + 6 wrt z.\nAnswer: 10*w**2*z + 206*w*z - 7*w + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -10) + (-1 - 16) - (19 + -17)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-189)\/(-42))\/((-1610)\/(-736) - (-1)\/16). Determine p, given that p**m + 0 - p**4 - 1\/2*p**3 + 0*p + 1\/2*p**5 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 221 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -y**5\/2 - y**4\/6 - y**3\/6 + 8*y. Give w(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11993.\nAnswer: 67, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/3 + 2\/3. Let x(z) = -56*z + 1. Let p(y) = 288*y - 4. Let u(j) = -p(j) - 5*x(j). Calculate u(v).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -115*b**2 + 7910*b**3 + 2370*b**3 - 1752*b**3 + 117*b**2 as u + j*b**2 + p*b + d*b**3 and give d.\nAnswer: 8528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 - 99. Let o = -55 - z. Let p(v) be the first derivative of 3*v**2 + 2*v + 7. Determine p(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d - 5*b + 46, 730*b - 758*b = 2*d - 38 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -0.1 (b) -3 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**4 + 2*g**3 + 2*g**2 - 2*g = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 144941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700)*-1 + 5 + -1 + sqrt(7))**2.\nAnswer: -72*sqrt(7) + 583","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggrjbgbjbgr. Give prob of picking 2 r, 1 b, and 1 j.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72308925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.6 (b) -2 (c) -9 (d) 2327 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308367.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7*(-1)\/(((-14)\/(-20))\/1). Let v be j\/1 - (-120)\/(-20). Solve 0*w = -v*w + 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6890?\nAnswer: 2, 5, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(1\/3))**24*(i*i\/i**(2\/9))**(-3\/35))\/(i**(-2\/5)*i*(i*i**9)\/i*i)**(-4\/7) assuming i is positive.\nAnswer: i**(460\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6723 and -1528660?\nAnswer: 1535383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*x + 13*x + 0 - 1)*(2530 - 2530 - 37*x).\nAnswer: 37*x**2 + 37*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + i + 1. Let h(r) = 36*r**2 + 6*r + 6. Let y(v) = 2*h(v) - 12*t(v). Let a(g) = -g**2. What is y(a(n))?\nAnswer: 60*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -1. Let v(c) = -c. Let m(s) = 5*r(s) - v(s). Let y be 72\/15 + (-2)\/(-10). Determine m(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2342 (base 5) to base 14\nAnswer: 1ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291837410 is divided by 1469?\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41900604 by 4.\nAnswer: 10475151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 375*r**4 - 3744*r**3 - 12060*r**2 + 143808*r + 2304 = 0.\nAnswer: -6, -2\/125, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*n**4 - 140330*n**3 + 360730*n**2 + 260570*n - 240504 = 0. Calculate n.\nAnswer: -1, 4\/7, 3, 10021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34783612 to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -21 - (-876 + 814).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 18*w + 101. Let n be h(-6). Does 15 divide 2\/(-70)*n - (-14908)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 1 - 5 = 0, 5*k + 4 = -2*i. Calculate the lowest common multiple of -3*k\/(-4)*-2 and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 28 = 107*d - 248 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**3 + 19*z + z**4 - 6 - 19*z + 2*z - z**2 in the form c + v*z**2 + i*z**4 + l*z**3 + t*z and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(-1\/2))**21*y\/y**(-3)*y*y*y\/y**(-3\/4) assuming y is positive.\nAnswer: y**(157\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 785*f = 792*f + 28. Which is the fourth biggest value? (a) f (b) -1 (c) -1\/8 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2092091*z**3 - 7844*z**2 + 2*z - 3?\nAnswer: 12552546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 15*w**2 + 112*w + 8. List the prime factors of t(15).\nAnswer: 61, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2545.3953 days to weeks.\nAnswer: 363.6279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -49, -3\/7, 4 in decreasing order.\nAnswer: 4, -3\/7, -46, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -85*u**2 - 55*u - 52. Give h(-1).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 120675 greater than 0.7318?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37*(-2173 - -2184 - ((12 - -1) + 1)).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 42\/24 - 9\/(-24)*-2. Which is bigger: -4\/9 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 0*f - 5*f)*(2*f - 3*f - f).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11590 and -0.02?\nAnswer: 11589.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l - 7258 + 26794 = 0. What is the greatest common divisor of l and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (70\/(-56))\/((-1)\/4). What is the highest common factor of 40 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84066039553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19999, -39941, -59883, -79825, -99767?\nAnswer: -119709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z + 2. Let a(h) = h + 2. Let b(s) = -1. Let l(c) = -2*a(c) - 3*b(c). What is 4*l(y) + 3*q(y)?\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5666 = -10*d + 65886. Suppose 1483 = -17*o + d. Suppose -3*f + 5*g = -o, -5*f = -f + 5*g - 321. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + v - 30 = -4*s, -2*v = -10. Calculate the common denominator of ((-21)\/(-54)*-26)\/(-2) and ((-111)\/(-15))\/((-4)\/s).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/1972 and 68\/408 - (-11)\/15.\nAnswer: 9860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1 - -3) + (-123)\/75 and 67\/8.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(475)*1 - sqrt(475)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 38*h - 6*h - h + 56*h + (-h + 2*h + 3*h)*(6 - 5 + 1).\nAnswer: 95*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*o - 118 - 90. Suppose -b + 11 = 2*d + 3*d, -b = 4*d - o. What is the smallest common multiple of 6 and b?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.3, -1\/20, 497, 2\/13 in decreasing order.\nAnswer: 497, 2, 0.3, 2\/13, -1\/20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of u**5\/30 + 3*u**4\/28 + 2*u**3\/21 - 2*u**2. Factor c(y).\nAnswer: 2*(y + 1)*(7*y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -73729 < -73728?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/7 + 4*h + 66\/7.\nAnswer: 2*(h + 3)*(h + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180830 = -7752*h + 7742*h. Calculate the highest common divisor of 169 and h.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 1:46 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1365 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14725, 0, -191 in increasing order.\nAnswer: -14725, -191, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 8*w**3 - 398*w**2 + 272*w - 20. What is g(49)?\nAnswer: -1098","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((1 + sqrt(343)*-1)*1 + 2)*-3.\nAnswer: -54 + 126*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -58\/7636121?\nAnswer: -58\/7636121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11012 (base 3) to base 8.\nAnswer: -161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6138292 to the power of 1\/2, to the nearest integer?\nAnswer: 2478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from lyylyyly?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*((q\/((q**(5\/6)*q)\/q))\/q)\/q)\/(((q*q**(-5\/3))\/q)\/q)*q**(4\/3)\/(q*q*q*q*q**7))\/((q\/q**(-2\/5))**30*(q*q**(-2)*q)\/(q\/(q\/q**7)*q)) assuming q is positive.\nAnswer: q**(-251\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) -1\/35 (c) 0.5 (d) 37 (e) -4 (f) 4.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 399400952.\nAnswer: 2, 197, 253427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0528 - -5.84.\nAnswer: 5.7872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -7758816 divided by -298416\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -259, -744, -1681, -3220, -5511, -8704, -12949?\nAnswer: -18396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/27 and ((-49)\/(-12))\/(164\/(-16) - -4).\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5c + -29c?\nAnswer: -2f8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10288 (base 9) to base 10.\nAnswer: -6803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 390 and 735.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000001111000100111 - 101101?\nAnswer: 10000001110111111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 4 (b) -104270 (c) -2\/5 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2021, -3700, -5379, -7058, -8737?\n\"Answer: -1679*p - 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -54*t + 580. What is z(11)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c*c**(-4\/5))\/c)\/c**(-4) assuming c is positive.\nAnswer: c**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1092744416941 and 186.\nAnswer: 1092744417127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 210 = 10*w. Suppose 4*c - w = -2*c. What is the remainder when 41 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.3739214 at most as big as -0.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33465384 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j - 1 + 1)*(6 - 4 - 4)*(12*j - 5*j + 2*j) as z + v*j**2 + w*j and give v.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8424)\/(-12))\/13*(-318)\/(-212)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 u when three letters picked without replacement from xuuxuuuxuuuusuusuu?\nAnswer: 13\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13.969 - 13.869. Which is the third smallest value? (a) p (b) -10 (c) -0.5 (d) 7 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a4 (base 12) to base 2.\nAnswer: -1111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41\/63 - (5 - (-301)\/(-63))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -712*l - 484 - 1348*l + 199*l - 538*l + 225*l + 18*l**2 = 0?\nAnswer: -2\/9, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**3 - 3*y**2 + y + 2. Let z be h(-2). Suppose 5*m - 45 = 5*w, w = z*m - 14 - 7. Which is the nearest to 0? (a) -3 (b) w (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 8:11 PM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3\/40, -0.04, -14.452.\nAnswer: -14.452, -4, -3\/40, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c**2 - 1647*c + 65763. Determine b(39).\nAnswer: -3033","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -6, -3, -16, 82, 682 in increasing order.\nAnswer: -16, -6, -5, -3, 82, 682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, l: 10}. What is prob of sequence lj?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 7*o**2 - 5*o + 2. Determine m(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 2*n - 256 = 0, -22*n - 359 = -4*a - 63 for a.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2454972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of 0*z**2 + 1\/15*z**6 + 0*z**4 + 0 + 1\/2*z**3 + 0*z**5 - 9*z. Find the second derivative of o(u) wrt u.\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -400309*d**3 - 2*d**2 + 803*d + 25 wrt d?\nAnswer: -2401854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h**2 + 7*h - 1. Let b be (-12)\/(-18) + 22\/(-6). Let d(y) = 3*y**2 + 7*y - 2. Let v(f) = b*d(f) + 2*m(f). What are the prime factors of v(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 146279825?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 93421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**9*c**(-1\/4))\/(c\/c**1*c\/(c**(-7)*c*c)) assuming c is positive.\nAnswer: c**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z + 10*z + 520 = -z for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(84)*1 - sqrt(84)) - (sqrt(84) + sqrt(84)*-2 - sqrt(84))*4)\/(2*-3*(sqrt(12) - sqrt(48))).\nAnswer: 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46445.600012 - 46446. Let i = -11.6 + 12. Let r = o + i. Round r to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -14034*120\/(-1152) + (-35)\/(-56). Determine p so that -9\/2*p**4 - 1035\/2*p**2 - 1500 + t*p + 159\/2*p**3 = 0.\nAnswer: 8\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 2*v**2 - 6. Let z = -90 + 95. Let i(g) = 2 + z - 6. What is -h(j) - 5*i(j)?\nAnswer: -j**3 + 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 63, 67, 57, 27?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 6*m + 2. Let b be h(-4). Calculate the common denominator of 516\/432 + 2\/8 and 1\/b*42\/(-8).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 i when two letters picked without replacement from {q: 7, i: 3}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, b: 2, a: 1}. What is prob of picking 1 a and 1 p?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -2*n**3\/63 - n**2\/7 - 4*n\/21 + 28. Factor a(l).\nAnswer: -2*(l + 1)*(l + 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -1, 3, -4\/9, -2\/5.\nAnswer: -5, -3, -1, -4\/9, -2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, t: 6}. Give prob of sequence qttq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3102183897.3899169474 + 3102183898. Let n = m + -544.6100769126. Let c = -544 - n. What is c rounded to seven dps?\nAnswer: -0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.104 - 25123097852.\nAnswer: -25123097852.104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*0.277.\nAnswer: -1.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1411561 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5811 + -5815. Sort 6, 3, 10, -5, z in ascending order.\nAnswer: -5, z, 3, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 966\/8820 + (-1)\/7. Let o = 5\/6 + j. Solve -4\/5 + o*z - 1\/5*z**2 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - -5. List 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(f) = -9*f**2 - 179*f - 1228. Calculate c(-7).\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -19337 = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 2, -78, -4 in decreasing order.\nAnswer: 4, 2, 1, -4, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 13*y - 15. Let o(x) = x**2 - 13*x + 1. Let h be o(9). Let t = -24 - h. Does 7 divide b(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-1))\/40*(-30)\/(-4)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 3:22 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138 + 643 = 781*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = a + 21. Suppose -3*g = a*w - 3*w - 230, -g + 2*w = -60. Let t be ((-18)\/(-10))\/(21\/g). Solve y + t - 29 = 4*v, -3*y + 24 = -3*v for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22 and -0.3?\nAnswer: -6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1809 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 174312 and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 6:47 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 468 and 3204.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -5*s**8\/112 - 23*s**7\/70 - s**6\/4 + 2*s**5\/5 + 18*s**2. Solve t(q) = 0.\nAnswer: -4, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 3:14 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15, 34, 59, 84, 103, 110, 99, 64?\n\"Answer: -d**3 + 9*d**2 - d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6150531?\nAnswer: 3, 2050177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*sqrt(110)*-6)\/(-6*(sqrt(250) + sqrt(250) + -1*sqrt(250)) - sqrt(250)).\nAnswer: 18*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3 + (-1 + sqrt(432) - sqrt(432)) + 2 + sqrt(432)*1 + 3)**2.\nAnswer: 48*sqrt(3) + 436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45 - -46. What is the nearest to m in 0.2, -2\/3, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -58245, -116510, -174797, -233106, -291437?\n\"Answer: -11*f**2 - 58232*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1990848.\nAnswer: 2, 3, 10369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(((-202)\/(-8)*(-24)\/4)\/(135\/(-180))).\nAnswer: -1\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.2 rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/9515 and 123\/550.\nAnswer: 95150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3503 - 518. Suppose -5*y = -3*n - f, -6*n - 595 = -y - 5*n. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17*g**3 + 39*g**3 + 105379 + 14*g - 105222 wrt g.\nAnswer: 66*g**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 145 and 232568110?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -147387 and -0.038?\nAnswer: 5600.706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 899894 from -17.1229482.\nAnswer: -899911.1229482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sssw when four letters picked without replacement from {w: 3, s: 8}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.270644831 to two dps.\nAnswer: -8.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 12*c - 1. Suppose -2*v - v + 18 = 0. Let q(d) = 13*d - 1. Let r(h) = v*q(h) - 7*j(h). Give r(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c + 5*u - 223 = 0, 4*u = -2*c + 440462 - 440288 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.5 + 3.9. Which is the closest to -1\/2? (a) -8\/5 (b) -2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 18*k = 16, 0 = 3836129*t - 3836128*t - 5*k + 14 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/112 and -75\/176.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 145?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nyvn when four letters picked without replacement from {s: 2, m: 1, n: 2, y: 2, b: 1, v: 1}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*2*(3775257\/18 - 28) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(48) - sqrt(3))*-4 + sqrt(3))*-1 + -1)*-5.\nAnswer: -55*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -26035 - 4?\nAnswer: -26039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1005 by -201.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 454668 to the nearest 10000.\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9467*f**2 - 9437*f**2 + 28307*f**2 - 9468*f**2.\nAnswer: -65*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 114, -3, 5 in decreasing order.\nAnswer: 114, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -4*j**3 - 696*j**2 + 13060*j + 13752 = 0.\nAnswer: -191, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 3\/7*x**3 + 0 + 0*x - 3\/7*x**5 - 3\/7*x**2 + 3\/7*x**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-225 + 182 + 396)*((5*z + z - 4*z)*(2 - 2 - 2) + 3 - z - 3) as x*z + v and give x.\nAnswer: -1765","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -7*v**4\/12 + 91*v**3\/6 - 1454*v**2 + 376*v + 2. Find the first derivative of f(o) wrt o.\nAnswer: -14*o + 91","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2))**(-30)*(h\/(h*h\/((h**(-5)\/h)\/h)))\/(h**(-7\/4)\/h*h) assuming h is positive.\nAnswer: h**(215\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 5. Let l be o(7). Let z be (7\/(-2))\/(1\/l). Let v = z - 20\/3. Put v, -5, 4 in decreasing order.\nAnswer: 4, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20110012101 (base 3) to base 6\nAnswer: -2415531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/60 and -73\/195780.\nAnswer: 195780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*t - 67 = -229 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o + 153 + 102 = 44*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-3)*q*q*q*q)\/(q\/(((q*(q*q**(6\/11))\/q)\/q)\/q)))**(-9\/13))**(-6\/13) assuming q is positive.\nAnswer: q**(-270\/1859)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -7. Let c(s) = -s**3 - 4*s**2 + 16*s + 124. Let a be c(-6). List the prime factors of 1\/p*a\/(-1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -165 + 168. Solve -11 = -4*t + i, 2*t - a = 5*t + 3*i for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10, 10, 8, 11, 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(sqrt(32)\/sqrt(16)) - (sqrt(32)\/sqrt(4) - (sqrt(2) + 5 + 1 + sqrt(2))) - -6*3*sqrt(32)\/sqrt(4)*4.\nAnswer: 6 + 146*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 1:28 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 43741 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*d**2 - 50*d**2 - 81*d**2 to the form j*d + r*d**2 + y and give r.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -404404 or -404512?\nAnswer: -404512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u - 8*u + 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.05 - -0.65. Let w = p - 0.7. Suppose -5 = -5*c, 4*m = -0*c - 2*c - 2. Sort w, -1\/7, m in decreasing order.\nAnswer: w, -1\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124, 318, 648, 1108, 1692, 2394, 3208?\nAnswer: 4128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 111584.08 times 0.02\nAnswer: 2231.6816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, 0 in ascending order.\nAnswer: -6, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4359233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -11 + 7\/(7\/(-4)). Let z be 4\/12 + (-265)\/o. Solve -4*n = -2*u - z, 3*n = -4*u - 0*n - 14 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -4151*n**4\/12 + 2951*n**3\/3 + 2791*n**2 - 1. Differentiate g(j) wrt j.\nAnswer: -8302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/627243301 or 0?\nAnswer: 2\/627243301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -5*m**2 + 8*m - 11. Let w(y) = 3*y**2 - 5*y + 7. Let s(u) = -5*t(u) - 8*w(u). Let h be s(2). Suppose h*b - 93 - 6 = 0. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/2 of a century?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*u + 441 = -584*u - 2643 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 10:33 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 21*y + 108 = -45 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 98980 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 10855022.592.\nAnswer: 10855022.092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 - 376*b**2.\nAnswer: 2*b**2*(b - 188)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 130330 times -9.51\nAnswer: -1239438.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of b**6\/120 + 13*b**5\/60 + 13*b**4\/24 + 8*b**3\/3 + 6*b**2 - 109. What is d(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -83 - -64112?\nAnswer: 64018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*u + 9238 + 72348, 4*k - 8 = 0. What are the prime factors of u?\nAnswer: 2, 5099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -u**5\/20 - 5*u**4\/3 + 14*u**3\/3 - 5*u**2\/2 - 12*u. Is a(-22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/2 - 4\/(8 + -4). Let j(q) be the third derivative of -q**6\/120 + q**5\/10 + q**4\/3 - 5*q**3\/3 + q**2. What is j(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i - 33. Let c(z) = -z - 18. Let q(b) = -11*c(b) + 6*n(b). Let f(h) = -46*h**2. Calculate q(f(v)).\nAnswer: 46*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.31 minus -1.0401972?\nAnswer: 0.7301972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -37685421 take away -1302?\nAnswer: -37684119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/8? (a) -4 (b) 2 (c) -38.1 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3960 divided by -33.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + g. Suppose -3*z - 79 = 2*m + 61, g = -5*m - z - 337. What is m rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005628 rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1474620, -1474546, -1474422, -1474248, -1474024, -1473750?\nAnswer: -1473426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 7321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 3*b + 80 = 13*z - 2*b, 5*b = -15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 3336339.\nAnswer: 26690712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 98 = 2*j, 5*j = -0*r + 4*r - 91. Let m = 34 - r. Calculate the greatest common divisor of m and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 513 and 912?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/2*29\/(4350\/(-160))*24. Put -6, x, -5, -1 in descending order.\nAnswer: x, -1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -228*w**3 + w**2 - 25*w + 33. Is t(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -600451 (base 7) in base 16?\nAnswer: -18ad2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 2*v + 1. Let a be d(-2). Let t be (2 - 3)\/(a\/6). Suppose -r + 29 = 3*o, -o - t*r + 50 = 4*o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2118 and 11080317.\nAnswer: 1059","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2\/3*w**3 + 0 - 16*w - 22\/3*w**2 = 0.\nAnswer: -8, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44237997*q**3 - 729*q**2 + 4774*q - 4.\nAnswer: -265427982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 + 104\/12 + 2\/6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 10. Let u(g) be the third derivative of g**5\/60 - 5*g**4\/24 + g**3\/2 + 2*g**2. Calculate u(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x**2 + 404*x - 13615. Calculate a(67).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1022122 (base 3) to base 15.\nAnswer: -442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8, 21, 36, 53, 72, 93?\n\"Answer: t**2 + 10*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-18) - 237\/(-18). Let y(a) = a**2 - 14*a + 44. Is y(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*0.27\nAnswer: 2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58.709886605 - -58.71. What is g rounded to six dps?\nAnswer: 0.000113","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a century in months?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3926 divided by 2\nAnswer: 1963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.3 (b) -0.1 (c) -4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}