diff --git "a/data/dm_maths/full_data/1728_11255.jsonl" "b/data/dm_maths/full_data/1728_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1728_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve -3*c = 5*t - 5, -16 = 4*t - 5*c - 20 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p + 9. Let i(t) = -t - 1. Let h(s) = 3*s - 2. Let w(y) = -h(y) - 2*i(y). Calculate 5*w(f) - 2*z(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 11*m + 5. Let u be l(11). Suppose -3*r = z - 8*r - 1, -u*z = r - 5. Let x = -103\/770 - -3\/70. Is x equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 118 - 122. Let t = -4 - f. Suppose -c + 0*c + 8*c = t. Solve c = -5*o - 2*i - 0*i + 2, -3*o = i - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(78)\/sqrt(3))\/sqrt(2) + 4.\nAnswer: sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2)*z*z\/z**(2\/9)*((z\/z**(-8))\/z)\/(z*z**(-6)) assuming z is positive.\nAnswer: z**(115\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6 + 1\/2*0. Let p = 1 + m. Let v(h) = 2*h**2 + 2*h + 9. Is v(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 4*n = 42 + 5, -5*r - 192*n = -190*n - 69 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/17 (b) -1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -7. Let w = 3 - 2.7. Let k = w + 0.7. What is the nearest to k in d, 2\/7, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 43*h**2 + 387*h + 77. Let z be y(30). Sort 10, 1, z, -5.\nAnswer: z, -5, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from nbbbvvnvvvbbvbvbvbv.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -86101 + 86107. Let o(t) = t + 6. Let k(c) = c + 11. Let d = 2 - 13. What is d*o(w) + j*k(w)?\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 78 = -12*i, 5*i - 136 = -166 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*t - 16*t + 63*t + 4*t - 119*t.\nAnswer: -55*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/7, -2, -0.3, -21?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 242842.32ms?\nAnswer: 0.000401525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 415 is divided by 144.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -30 + -1 + (-2 - -4). Let z = -42 - c. Calculate the common denominator of 118*-1*z\/156 and 133\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-3)*5\/24*3?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1990936 greater than -1990936?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**2 + 2002*y - 2003 = 0.\nAnswer: -2003, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -770*0.153\nAnswer: -117.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*o + 1)*(2*o**2 - o**2 - 3*o**2) + o**2 - o**2 - 2*o**3.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of 2*n**7\/105 - n**6\/30 - n**5\/15 + n**4\/6 + 6*n**2. Factor q(z).\nAnswer: 4*z*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3219176 and 251280.\nAnswer: 289725840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342013?\nAnswer: 7, 48859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6104771617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*a**2*c**2 + 57*a**2*c - 1334*a**2 - 2*c**2 wrt c?\nAnswer: 8*a**2*c + 57*a**2 - 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -384, -773, -1172, -1581?\n\"Answer: -5*k**2 - 374*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20661 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -q**4\/8 - q**3\/6 + 9*q**2. Let s be b(-2). Let t = 4783 + -4773. Solve -s*r + 5 = -t*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/5 (b) 0.4 (c) -0.05 (d) -19 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - (1 + -3))\/(-1). Suppose 12 = -21*k + 24*k. Let s(z) = 36 - 79 + 40 - k*z. Determine s(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 1, -1, -2\/9, 0.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -64 + (-1 - -1 - (7 - 3)). Let a = n + 69. Which is smaller: -2\/39 or a?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -44b - 1?\nAnswer: -44c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 69 = -29. Let u be (-4)\/14 - 553\/l. Suppose y - u = 56. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21090 and 13490.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-914)\/(-2030) + (-10)\/(-25). Let k = n + 1\/145. Let d = k + -87\/77. What is the common denominator of d and 20\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (150\/(-625))\/(1*9\/30)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**5 + 178*r**4 + 5108*r**3 + 29198*r**2 - 190437*r + 155952 = 0.\nAnswer: -144, -19, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1949\/3 or -650?\nAnswer: -1949\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -4, -56, 8 in increasing order.\nAnswer: -56, -4, -1, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10938 and 4062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(36\/4)*9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) 6 (b) -0.4 (c) 0.037 (d) -12\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-2))\/((-5)\/30). Let v(d) be the second derivative of -d**5\/20 - 3*d**4\/4 - d**3\/6 - 5*d**2\/2 - 1844*d. Determine v(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29232\/261*-1*(-3)\/24\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/5 + 1\/5. Suppose -11*p + 9*p + 4 = 0. What is the second biggest value in p, o, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*o, 4*d + 5*o = o + 76. Suppose 18*p - 16 = 16*p. Suppose p = 2*l - d. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2235 and 756771.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*m**3\/13 - 56*m**2\/13 - 184*m\/13 - 64\/13.\nAnswer: 2*(m - 8)*(m + 2)*(5*m + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i - 0*i - 168. What is the remainder when 47 is divided by i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/60 + 2\/4.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.2 + -3. Suppose 4*a + 328 = 336. What is the third smallest value in a, -0.2, g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.438724 to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**4\/2 + 9*l**3\/2 - 3*l**2 - 18*l - 12 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - 3*s + 2*s)*(-s**3 - 2*s**2 + s**2 - s**2) + (-2*s**3 + 2*s**3 - 3*s**3)*(-6*s + 0*s + s).\nAnswer: 16*s**4 + 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**4 - 36*b**3 - 8*b**2 + 336*b - 288.\nAnswer: -4*(b - 2)*(b - 1)*(b + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/13544 and -25\/18623.\nAnswer: 148984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + 24 + 14 + -6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4481950 a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 5*a + 232, -l + 44 = 3*a - 31. What are the prime factors of l?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 0. Suppose 0 = 2*g - s - 31. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7182479nm to kilometers.\nAnswer: 0.0000000000007182479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2805 and 2244.\nAnswer: 11220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**13*q*q**(-9))\/(q*q*q**8*(q\/((q*q**(-4))\/q))\/q))**28 assuming q is positive.\nAnswer: q**(-252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-10)\/9)\/((-25)\/(-210))*1\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129, 145, 149, 135, 97?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 504?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 1960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(108\/16)*(-60)\/40.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**2 - 4*v**2 + v**2)*(0*v + 0*v - 14*v**2) + 12245*v**4 + v**3 - 12410*v**4 - 3*v**3.\nAnswer: -193*v**4 - 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33480 and 1259096.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 87 + -82. Let l be 6 + (-4)\/(-1 - -3). Suppose -4*n = -4*u - 3*n + l, 2*u - 20 = f*n. Solve 3*y = -3*s + 24, 3*y - 6 = -u*y + 3*s for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183 - 47 = -4*s. Let t = s - -43. Suppose -o + 6 = t. Let x(l) = -l**2 - l - 1. Let g(h) = h**2 + h + 2. Calculate o*x(v) - g(v).\nAnswer: 2*v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1773 + 1777. Factor 6\/7*z**3 + 2\/7*z**u + 0*z**2 + 0 - 8\/7*z.\nAnswer: 2*z*(z - 1)*(z + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*k - 10*k + k + 0 + 0.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.117 - -0.08. Which is the closest to -2? (a) -1 (b) q (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3*u - 2833 = 0, 0 = -7*s + 2*s + 3*u - 3548. Let p = 1371 + s. Does 61 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 78 and 28548?\nAnswer: 28548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, p: 2, m: 2, k: 2, b: 2, z: 1}. What is prob of sequence lzbp?\nAnswer: 1\/1560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 + 35.4. Let m = 14 - 13.94. Let t = 0.04 + m. Which is the closest to t? (a) 1\/7 (b) y (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*t + 155 = -7*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1295748.\nAnswer: 2, 3, 35993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 1. Let i = -2 + 4. What is the remainder when 3 is divided by t(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 1\/3, 13\/18, 0.3, 1\/130?\nAnswer: 13\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3dd (base 14) in base 6?\nAnswer: -3343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95 and 99000507.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5573? (a) 0.1 (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -5*r**3 - 4755*r**2 - 501120*r + 333434880 = 0.\nAnswer: -576, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 152510335 (base 6) in base 7?\nAnswer: 36211046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3320 (base 15) to base 5.\nAnswer: 321310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**2 - w**2 + w**2 + w**2. Let m(n) = 8*n. Calculate m(t(x)).\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2831 + -2823. Let q(r) = -6*r**2 - 2*r + r**3 + 2 - 15 + 0. Does 33 divide q(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 140\/378*(-27)\/(-45). What is the closest to -2\/15 in l, 2, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -763*p + 1536*p - 771*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z. Let n(y) = 218*y**2 - 27. Calculate n(l(s)).\nAnswer: 1962*s**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 5 + -3 + (-1 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - -16. Suppose -i = -3*b + 5. Suppose r - 3*r - k = -92, 2*r - k - 88 = 0. What is the remainder when r is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(4\/14)*2. Let f(g) = -g**3 - 8*g**2 - 8*g + 7. Let d be f(k). Suppose d = 2*o + 4. Solve o*p - 20 = -0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6208.897 micrometers to meters.\nAnswer: 0.006208897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 14) to base 13\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*f + 23, 4*f - 2*l - 28 = 2*l. Suppose -z + 18 = -4*j, -z + 18 = -5*j - 2*z. Suppose 0 = -2*h - 0 + 2. Put h, j, f in decreasing order.\nAnswer: f, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -12435?\nAnswer: -1\/4145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 4. Let u be 0\/(-2) + (7 - 9). Let m = 0.51 - 0.01. What is the closest to c in m, -4\/7, u?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -8.7.\nAnswer: -10.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 638.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (6 - 3) + -3. Suppose -3*r - 4*h = -0*r - 305, m*r - 4*h - 230 = 0. What are the prime factors of r?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1162459, -1162439, -1162419, -1162399?\n\"Answer: 20*d - 1162479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -22*m + 1. Let f(x) = x**3 - 7*x**2 - 7. Let q be f(7). Is l(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 62*c - 67*c - 5*p + 10, -3*p = -c + 10 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 183 - 182. What is the second biggest value in -1\/8, 0.4, -1.93, z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 599500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -69254.51 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4819398 is divided by 277?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1215.1 + 1238. Let y = -294769319 - -294769296.0999829. Let a = y + f. What is a rounded to 6 dps?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w - w - 3*w. Let y(g) = -2*g. Let s(o) = -5*o - 1. Let i be s(-1). Let x(k) = -k. Let p(r) = i*x(r) - y(r). Determine t(p(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -140, -220, -304, -392, -484, -580?\nAnswer: -680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6178 and 3.\nAnswer: 18534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-35)*15*14\/(-12).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 - 459 = 21*u + 68 for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20706*f**3*u - f**2 + 2*f*u + 87*f - 2 wrt f.\nAnswer: -124236*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(130\/(-28)))\/((-43196)\/215980)?\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58 + -78 + -10 - -54?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -t**3\/3 - 75*t**2\/2 + 2949*t. Let b(u) = -u**2. Determine w(b(g)).\nAnswer: 2*g**2 - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**3 - 5*n**2 + 2*n - 6. Let a be g(4). Suppose 2*k + 4*s = a, 7*k + s = 5*k + 62. Let z = k + -32. Let q(r) = -r**2 - r. Give q(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -18*t**2 + t + 40. Let x(j) = 36*j**2 - 2*j - 82. Let s(v) = 9*k(v) + 4*x(v). Find the first derivative of s(o) wrt o.\nAnswer: -36*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m - 4*r = -15*m + 14, -4*r - 8 = 4*m. Solve -7 + 1 = -2*p, -5*b - m*p + 4 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2171, 5, -113, 46, -5 in ascending order.\nAnswer: -113, -5, 5, 46, 2171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 11 - (-16 - -17)) + 19 + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 52853?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*z = 43*z + 6. Let l be (-5 - z)\/(15\/(-20)). Suppose 3*f - 54 = -0. Solve -h = -4*t - f, l*t + 4 = t - 4*h for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -10*q**2 + 4*q - 4. Let b be c(3). Let z = b + 123. List the prime factors of z.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**4 + 4*n**2 - 4*n**2)*(2 + 1 - 7) + (-2*n**3 + 4*n**3 + 3*n**3)*(-5*n + 4*n + 2*n) - 3*n**2 + 3*n**2 + n**4.\nAnswer: -14*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1058.07 + 1058. Let l be (-3)\/9 - 14\/3. What is the third smallest value in q, -0.4, l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.64 + -349.36. Let x = 28.304627 - -324.695059. Let p = x + h. Round p to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 11. Let x(y) = -7*y + 1. Let n be x(g). Suppose 28 - n = 5*f. Solve -4*v - 1 = j - f, v = -2*j - 8 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.90817843 + -0.9081. What is r rounded to six dps?\nAnswer: 0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 + 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-50)*(-5)\/(-9)*((-5544)\/(-11))\/6.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(2*17)\/2. Let l = m - -41. Suppose -2*p + 5*p = l. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -47\/5 in -0.33, 3\/7, 9\/7?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2562758.\nAnswer: 2, 11, 19, 6131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2acdc3 + 9?\nAnswer: -2acdb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p + 28. Let a(q) = q**2 - q + 28. Calculate the remainder when a(-10) is divided by f(0).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21104 (base 6) to base 10.\nAnswer: 2848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -232 (base 6) to base 10.\nAnswer: -92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 52\/30 - (-10)\/(-25). Which is smaller: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by 31\nAnswer: -15\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15659 - -15642. Suppose 3*a = -0*a - 9. Sort h, 0, a in descending order.\nAnswer: 0, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 134 and -5383.6.\nAnswer: -721402.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -31.828064 smaller than 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -7*x - 5. Let d(p) = 8*p + 6. Let y(c) = 6*d(c) + 7*m(c). Let a(u) = -u**2 + 2*u. Calculate 2*a(v) + 3*y(v).\nAnswer: -2*v**2 + v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -301 + 316. Suppose 8*u - s = 4*u + f, 3*u + 4*s + 3 = 0. What is the remainder when 65 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -99. Let i = f - 65. What is the highest common divisor of 5 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbbbhh. Give prob of sequence hb.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 241183 or 241188?\nAnswer: 241183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2029276 = j + 4*c, -2029294 = -1065*j + 1064*j - c. Round j to the nearest 100000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 9:26 AM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-3)\/(84\/((-56)\/2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.66373 rounded to 2 decimal places?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j - 8. Let f be t(8). Let x be (-1 + -3)*(-6)\/f. Suppose l - 263 = -4*g, g + x*l - 72 = 4*l. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 51*x**2 - 345*x + 65. What is b(43)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 (base 11) in base 14?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -475848212, -951696422, -1427544632?\nAnswer: -1903392842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1002, 1006, 1016, 1032?\nAnswer: 1054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1301*s**3 + 2*s**2 + 812.\nAnswer: -7806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -55.635 and -333986831.7?\nAnswer: 333986776.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 11*a**2 - 14*a - 20. Let v be q(-12). Solve 5*g - 27 = p - 0*p, 2*p - v*g = -24 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133660921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - k + k)*(1364*k**3 - 1074*k**3 - k**2 + k**2).\nAnswer: 290*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3663345 (base 10) to base 6\nAnswer: -210303533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 129 = 139 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6064 and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 233 + 573. Let v = t + -271. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 72*l + 1218. Let z be m(29). Suppose 0 = -5*x - 15, -2*n + 2*x + 48 = 6*x. Let c = z + n. Calculate the least common multiple of c and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 2*x = 11, h - 6*x = -15144 + 15169 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 1 = i, 1 = c + 4*i + 14 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 48\/5 of a century?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + (0 + sqrt(1100) + 0 - sqrt(1100)))**2 - (sqrt(1100) + -3*sqrt(1100)*1)**2.\nAnswer: -3300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 125 - 88. What is the third derivative of 2*a**2 - 6*a**6 + 3*a**2 - 37 + b wrt a?\nAnswer: -720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.58115 to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40*p**2 + 26*p**2 + 1082 - 4*p**2 - 9*p + 18*p**2 - 11*p**2 wrt p.\nAnswer: 138*p - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -65*l + 132*l - 38*l - 33*l. Let t(n) = -n + 6. Let w be t(3). Let v(d) = -5*d. Give w*v(a) - 4*i(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -14118*q + 14145*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03169867 to three dps.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6782 is divided by 260?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1246, -2483, -3720, -4957, -6194?\nAnswer: -7431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 4*4\/64*44?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14851511 + -1915.939.\nAnswer: -14853426.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 66723464830 and -1.\nAnswer: 66723464829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p + 1. Let c(z) = 7*z + 6. Let m(f) = c(f) - 6*l(f). Let q(x) be the second derivative of 0 + 0*x**3 + 2*x + 0*x**2 + 1\/6*x**4. Calculate q(m(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -x**7\/525 - 7*x**6\/150 - x**5\/6 - x**4\/5 - 48*x**2 - 4*x. Find s such that y(s) = 0.\nAnswer: -12, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.42 + 0.02. Let s be 2*1 - (-11)\/(-5). Let n be (-3)\/(-9)*9\/(-6). Which is the closest to -1\/2? (a) o (b) n (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2186 is divided by 82?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 smaller than -70\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 779 take away -7217797?\nAnswer: 7218576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2043.45116 to the nearest integer.\nAnswer: 2043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -69006 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0332 and -4?\nAnswer: -0.1328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -271.1568 rounded to one decimal place?\nAnswer: -271.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14573 - 0.4.\nAnswer: -14573.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 0 + 0*n**3 + 2\/15*n**6 + 0*n**2 + 2\/21*n**7 - 1\/3*n**4 - 8*n - 1\/5*n**5. Factor v(k).\nAnswer: 4*k**2*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.126+-46221585068\nAnswer: -46221585068.126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2 = g - 5, 4*r + 2*g = 2. Let x be r\/3*9\/(-2). Let s = -8939 + 8944. Solve s*d - x*k + k = -10, 2*k - 10 = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**5 - 38*x**4 + 2*x**3 + 38*x**2 = 0.\nAnswer: -19, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5404393 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 x be 3 - (-9 + 5) - 3\/1. Suppose 380 = -5*f - 4*o - 452, -x*f - 680 = -4*o. Let a = f - -281. What are the prime factors of a?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2251 - 148*c + 2251)*(-5 + 4 + 4)*(-3 + 3 - 2)*(3*c - 5*c + 4*c) in the form a*c**2 + y + m*c and give a.\nAnswer: 1776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 + 97. Let i = x - 18. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*w - 7*w - 2*w**2 - 32*w - w**3 - 4*w - 3 as v + l*w**3 + k*w + b*w**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 82880363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - b + 1. Let c(v) be the second derivative of -v**4\/12 + v**3\/6 - v**2\/2 - 588*v - 5. What is -5*c(f) - 3*d(f)?\nAnswer: 2*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -32 - -86?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = f - 22. Solve -2*s = -4*t - 8, -2*s - 5*t - f = -0*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 1\/4 (b) -1.15 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 184 * 0.0525.\nAnswer: 9.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, c: 1, w: 3, i: 3}. What is prob of picking 1 c and 1 x?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 189945 and 33.\nAnswer: 2089395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3827170?\nAnswer: 2, 5, 19, 20143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81\/378*-14*(-1218)\/(-42).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/20 of a tonne?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 4*s**2 - 6*s + 5. Let d be r(3). Let t = -10 - -16. Let i(z) = 8 - 5 - 5*z**2 - t + 4*z**2. What is i(d)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w + 3. Let z(c) be the first derivative of 2*c**2 - 9*c - 7. Let j(g) = -7*b(g) - 2*z(g). Let y be j(-1). Sort 0.5, y, -5 in increasing order.\nAnswer: -5, y, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*4\/6 - -505. Let v = -58 + g. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 3)*(-2*p + 3*p - 2*p) - 62 + 62 - 2*p)*(1 + 3 - 2 + (-1 + 2 + 0)*(-5 + 2 + 0)*(3 - 2 + 0)).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 15, -1, 1\/8, -34?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**3 + 9*o**3 - 19*o**3.\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*n - 761 - 157*n + 761.\nAnswer: -106*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -w**4\/4 + 2*w**3\/3 - w**2\/2 + w - 1. Let b be ((-931)\/(-14))\/(-19)*2. Let f be b + -2 - (-54 - -43). Calculate v(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33227\/63641 - 1\/2767. Does 0 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3191, -3197, -3203, -3209?\nAnswer: -3215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 4*w, 14*w = j + 10*w. Solve 0 = 3*q - q + 3*p + 17, -3*q + 2*p + 7 = j for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 4*l = 9*s - 82, 3*l - 76 = -4*s. Is 540\/23 greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1694) + sqrt(1694) + sqrt(1694) + -2*sqrt(1400))\/((sqrt(343) + sqrt(7) - sqrt(7))*4*3).\nAnswer: 2*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d + 12. Let i(g) = 2. Let v(k) = 6*i(k) - z(k). Let a(r) = -18*r - 79. Let p(c) = -a(c) - 5*v(c). Differentiate p(f) wrt f.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01115 to 4 decimal places.\nAnswer: -0.0112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-8)\/(-10))\/((-2)\/(-80)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -1 - 3 - (1005\/198 + 13\/(-78)).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 17300*s - 1128714. Calculate a(-65).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 3 - (2 + 37). Suppose -x - x + 16 = 4*a, -3*x + 4*a + 44 = 0. What is the units digit of q\/(-14)*x\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times 2.6?\nAnswer: -18.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -6*j - 48. Let i be l(-8). Suppose 3*r = -2*c - 0*r + 960, i = 5*c - r - 2417. Calculate the greatest common factor of c and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 128497\/283608 + 92\/1313. Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 7*r. Let t be b(-7). Let x = 6 + -4. Solve t = x*a - 8 - 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -32 + -8 + 31.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54 + -54. Suppose q*u = -k + 2*u + 252, -2*k + 496 = 4*u. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/(v\/v**(1\/5))))**(-20) assuming v is positive.\nAnswer: v**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/4 (b) 2 (c) 5 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.925 + 11.939. Let c = x + -8. Let q = 0.029 + c. What is q rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1081 = -162*b - 271. Solve -2*d = -b*o + 22, 0 = 2*o - 88*d + 92*d - 28 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 8*g + 12. Let b be t(-7). Let n = 47 - 49. Put n, b, 1 in descending order.\nAnswer: b, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 + -6. Calculate the remainder when 50 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 41*h**2 + 41*h - 38. Determine c(40).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -y**4\/12 + 5*y**3\/6 + 3*y**2\/2 - 28*y - 16. Determine b(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -38*y - 181. Calculate f(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 12:02 PM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2. Let y(q) = 17*q + 9. What is -3*a(x) + y(x)?\nAnswer: 17*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*u - 3 = -19, -4*d = -3*u - 7. Let o(t) = 0 - 3 + 2 + d*t. What is the tens digit of o(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 25*i**2 + 57*i - 18. Let a be g(24). Suppose 14*m - 11*m - 1151 = 5*l, 2*m - 5*l - a = 0. List the prime factors of m.\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 271 - -7.\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 23 = -2*l, 0 = -2*l + 3*j - 20 + 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10160083315.9366 + -10155305151.3265999. Let j = 4778164 - o. Let v = -0.61 - j. What is v rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24678768 is divided by 12339267?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (52\/(-11 + 24))\/1*(-84)\/7728?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of 33\/2*f**5 - 26*f - 55\/3*f**4 + 20\/3*f**3 + 5\/6*f**7 + 0 - 37\/6*f**6 + 0*f**2. Find k such that w(k) = 0.\nAnswer: 0, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + g = 12. Suppose -2 = -g*w - 14. Let s = w + 6. Solve 0 = 4*p + 5*q + s + 9, 0 = 4*p - 3*q + 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from vavvvvvvvvvvavvavv?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/6 + 307156*j\/3 - 614314\/3.\nAnswer: (j - 2)*(j + 614314)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -2a1845?\nAnswer: 2a1841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7678 a multiple of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -692.3 + 703.1. Which is bigger: g or 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 106, -10, 5, -4 in increasing order.\nAnswer: -10, -4, 5, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -49 (b) -0.3 (c) -6 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -203 divided by -7932.\nAnswer: 203\/7932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13584993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 49\/294*(-3)\/2 - 7363\/148\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-320) + 35\/(-36) + 54\/243?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -614 - -617. Suppose -u + x = 13 - 19, 0 = s*u + 2*x - 13. Solve 5*f - 13 = 3*z - 2*z, 5*f + u = -5*z for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - h**3 + 7 + 3*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of z**4\/6 + 3*z - 2. Let d(k) be the first derivative of g(k). Let q(t) = -8*t. Calculate d(q(o)).\nAnswer: 128*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2.539057*2\nAnswer: 5.078114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a milligram in micrograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 25*d**2 + 50*d - 31. Let u(j) = j**3 + 4*j**2 + 12*j + 117. Let m be u(-6). Let a be b(m). What is the second smallest value in a, -1\/5, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*7\/36*8\/(-28)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-3*sqrt(125) - sqrt(125)) + -3 - ((sqrt(100)*2)\/sqrt(5) - sqrt(20))\/(sqrt(100)*6))**2.\nAnswer: 2401*sqrt(5)\/5 + 5766421\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 9*p + 6*p = -9, 5*w - p = -7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8252.589cm in millimeters?\nAnswer: 82525.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 150\/12*(-32)\/(-440).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-47 - -19)) + 22?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*0.011.\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9094.\nAnswer: 2, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5670*s*v - 11*v - 1491 with respect to s.\nAnswer: -5670*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*w**2 - 14*w**2 + 7*w**2)*(-7 - 18 + 7).\nAnswer: 270*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 741 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13535?\nAnswer: 5, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443820 is divided by 1883?\nAnswer: 1315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/86590 and 57\/50?\nAnswer: 432950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 38*h**2 + 636*h + 3839. Give d(-11).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*m + 37. Let w be (4 + -2)*m\/(-4). Suppose -3*z + 5*r - 4 = 0, -z - 3*r - w = r. Let x(d) = d**3 + 3*d**2 + 2*d + 4. Calculate x(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r + 3*r + 5*r**3 - 11*r**3 to the form j*r**3 + m*r + k + l*r**2 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-16)\/(3 - 7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -6. Let h = j + -5. Which is the smallest value? (a) h (b) -2\/9 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -484993\/33 less than -14696?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 8 = -0. Suppose g + 84 = o*g. Let h = -3077 - -3089. Calculate the highest common factor of h and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.25963 micrometers in nanometers?\nAnswer: 26259.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.064 + 0.306. Let g = -1829 + 1829.17. Let c = g - j. Sort -5, 6, c in increasing order.\nAnswer: -5, c, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q - 6 = -6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35435885 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6495 and -21.\nAnswer: -136395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102575 is divided by 139.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -f - 5*n - 9, -3*n + 199 = 5*f. Which is the smallest value? (a) f (b) -0.5 (c) -1\/6 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1101162518 divided by 3\nAnswer: -1101162518\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7153 and 2024?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-69)\/(-46)*(-4 - -1)\/(-360). Let i(w) be the second derivative of q*w**5 + 5*w + 0 + 1\/8*w**4 + 3\/8*w**3 + 0*w**2. Factor i(l).\nAnswer: l*(l + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -119 - 3556*25\/(-700)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1012 - -1015. Solve -t*q - 10 = 2*g, -15*q - 25 = -14*q + 5*g for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 5*g = 3, -2*v + v + 1 = -3*g for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 655027195 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Solve -211*i - 4 = -216*i - 3*k, i + 13 = 4*k for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 773, 20, 2.\nAnswer: 2, 20, 773","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5371617 is divided by 237.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aziex. Give prob of sequence zeea.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**3 + 4*i**2 + i - 4 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/18 and 16\/15387.\nAnswer: 92322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 4132 divide 131675238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1446*t + 49894 = -77354 for t.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37 - 37 + 8*y**2 - 35*y**2 to v*y**2 + a + d*y and give v.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-3)*47748\/(-3979)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 176321181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-6) - (-116)\/12. Calculate the highest common factor of 63 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 528771?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-30)\/20)\/(6\/(-3884)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12768.804 + -12747. Let k = f - 13.1. Let y = 0.104 - k. What is y rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4*j + 8 = -20, 0 = -4*h + 3*j + 27. Suppose -2*p = h*p - 32. Solve 0*m = -p*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -157*q + 8. Let m be p(-6). What is m rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 2597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.9 + -2. Let v = 99 + -39. Let b be 54\/v - 2\/5. Are b and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**3 + 18*y**2 - 3*y - 90 = 0. Calculate y.\nAnswer: -5, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + d + 1, d - 1 = -0*d. Suppose 2 = -i*o + 24. Calculate the greatest common factor of 77 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001958 rounded to 7 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 4*r + 3*b, -5*r - 6*b + 2*b = -57. Let m(n) = 3*n - 27. Let g be m(r). Let y(c) = -2*c - 3 + 8 + 3*c + 5. Determine y(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 252 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1438724 - -0.2.\nAnswer: 0.3438724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*q - 28753 + 29059 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 3:48 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 + 894 = -11*l. Let r = -69 - l. Solve 3*n = n + r for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -2627 (c) 32.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by ((0 - -8) + -6)*45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4015 and -7.\nAnswer: 28105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert c13e (base 15) to base 6.\nAnswer: 512452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 - 21. Let r(p) = -x*p - 19 + 19. Let a(f) = -3*f**2. Give a(r(y)).\nAnswer: -243*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 4*m - 1071, -5*m - 5*i = 248 - 1588. Let v = m - 136. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -983.7 + 983.70008198. Round p to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 292421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -501384 divided by 38568?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.78163 + 0.06047. Let f = v - 0.1748. Let l = f + -0.67. Round l to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*f**4*u - 33*f**4 + 222*f**2*u + 2636324*u wrt f?\nAnswer: -8*f**3*u - 132*f**3 + 444*f*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 7:16 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 2. Let f be x(-3). Let r = f - -5. What is the second derivative of d - 2*d + 4*d**4 - d**4 - r*d**4 wrt d?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r**2. Let i be (-56)\/(-12)*(2 + (-24)\/21). Suppose -4*x + 16 = -2*x + 4*h, -4 = 4*x - 4*h. Let q(u) = 1 - x*u + 3 - i. Give q(t(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 3*h**2 - 4*h - 4. Let a be -3 - (-3 + 1) - 2. Let o be u(a). What is the units digit of (-2 - (-3)\/1) + o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/3*(-1)\/3)\/(2\/10). Sort -0.3, -4, 0.17, n in increasing order.\nAnswer: n, -4, -0.3, 0.17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15220 - 8346. What is the highest common divisor of i and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1231 - -1392. Calculate the remainder when k is divided by 29.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 1304529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbxyk. Give prob of sequence bk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5*z = 19, -4*q - 20 = z - 1. Let x = 1631 - 11419\/7. Which is the closest to q? (a) -0.4 (b) -0.2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.337 - -2.663. What is the closest to -15 in r, -2\/13, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 5*d**2 - 136*d + 98. Give j(26).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/4, 1, -1, 1\/2, -15, 255?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 4*q - 12. What is the lowest common multiple of m(5) and 24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(605) + -2) + -3 + -1*sqrt(605))**2.\nAnswer: -1650*sqrt(5) + 15350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33 + 5734)\/73 + -52?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.372456 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -122.8 + 123. Is m != -21\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -5 - (55 - 44).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 592 = 613, -5*m + 4*o = -235558. What is the thousands digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 10 + 33*p + 19.\nAnswer: 33*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppllpppppp. Give prob of sequence pp.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 135 + -65. Let q = f + -172. Let n = -50 - q. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -49*l. Let f(g) = -5*g**2 - 2. Let v(t) = 28*t**2 + 11. Let w(i) = 22*f(i) + 4*v(i). What is w(q(b))?\nAnswer: 4802*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j. Let v = -3 + 2. Let x(u) be the second derivative of u**2\/2 + 3*u. Determine v*c(r) - 2*x(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 - 11*s**2 - 21 - 12*s**3 - 8*s**3 + 3*s**2 + 7*s**2 in the form p + h*s + n*s**2 + k*s**3 and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -634 + 637. Factor 4*s**m + 2*s**4 - 4*s**3 - 6*s**3 + 28*s - 38*s**2 + 14*s**3.\nAnswer: 2*s*(s - 2)*(s - 1)*(s + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*n + n + 6 + 4*n**2 - 8 to m*n**2 + y*n + q and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*v + 6. Let n be -11 - -7 - 1 - -14. Let j be (n\/6)\/((-3)\/(-10) + 0). Solve j = -o - v*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -67*y - 857*y - 39*y - 103*y + (-y + 0*y + 0*y)*(1 + 1 - 1).\nAnswer: -1067*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/1)\/(-1))\/(6\/6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -10*k**2. Let h(v) = 6057*v**2 - 43*v + 1. Give h(y(w)).\nAnswer: 605700*w**4 + 430*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 0.50189, -0.2, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 0 + sqrt(363) + -1 + sqrt(363) + -5 + sqrt(363) + sqrt(363))*-1.\nAnswer: -44*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/10*30\/12*-6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50420 is divided by 118.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u + 3*u - 3*u + u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2985 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/3, 0.128, -5?\nAnswer: 0.128","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118422 divided by 2.\nAnswer: 59211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52380645 is divided by 6936.\nAnswer: 6909","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i - 8. Suppose -126 = -1055*j + 1013*j. What is a(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29327?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**6\/360 - l**5\/90 - 13*l**4\/72 - 5*l**3\/9 + 482*l**2. Factor n(x).\nAnswer: (x - 5)*(x + 1)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11269 and 0.3.\nAnswer: 3380.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3\/34 (b) 67 (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(18\/(-56)))\/((-1)\/3). What is the first derivative of b*i**2 + 57 - 171*i**2 + 26 + 40*i**2 wrt i?\nAnswer: -206*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 3*c - 174 = 5*u, c + u - 58 = 0. What is the remainder when c is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1518*883.\nAnswer: -1340394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 + -22.1. Suppose 5*j - 4*w + 46 - 8 = 0, -4*w = j - 2. Let x be (-2)\/j*2 + 0. What is the closest to x in -1\/2, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zd when two letters picked without replacement from ddzdddhdd.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10817765509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288*r - 349*r + 3458 = -143*r. Let s(q) = 2*q - 5. Let g(p) = p - 2. Give r*g(u) - 2*s(u).\nAnswer: 3*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -9. Suppose g - 5 = -g - 5*v, k*g - 22 = -3*v. Suppose -173 = -g*i - 13. Is 16 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wttiwttwt. Give prob of picking 1 i and 3 t.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wyw when three letters picked without replacement from wwy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, -4, 92 in ascending order.\nAnswer: -4, 47, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 3, h: 1, l: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - (-133 + 116 + (9 - -1)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-456 + 5)\/(-2 - -1). Let l = 20297\/45 - w. Is 1 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 271 - 150. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5313 - -5396) + 0 + -64.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 + 74 = -2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) 43 (c) 9\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(1 + (-134)\/130). Suppose 0 = 3*y + 5*b + 51, 4*y + 4*b + 24 + 44 = 0. Let h = c + y. Does 18 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dufbbuuuu. Give prob of picking 1 d and 1 b.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 3\/8, 3.1, 3, 14, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*n + 19*n**2 - 5*n - 4*n to the form c*n + m*n**2 + y and give m.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3052?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -387 * 2.\nAnswer: -774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 558192?\nAnswer: 2, 3, 29, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.51657 times 103\nAnswer: 53.20671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468171 is divided by 340?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/1181 or 0.1?\nAnswer: 4\/1181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 p, and 1 b when four letters picked without replacement from ebpecbbbpbpee?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*o - o**2 + 12*o)*(-o + 2*o + o + (-3 - 1 + 5)*(3 + 2*o - 3)) + 3*o**3 + 2*o**3 - 3*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s. Let k(x) = -8 + 8 - 2*x + 4*x. What is k(j(m))?\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -100*w - 5*w**4 + 1241*w**5 - 882*w**5 + 2*w**4 wrt w?\nAnswer: 7180*w**3 - 36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 1. Let j(t) be the first derivative of -t**2\/2 - 2*t + 2. Let u(r) = j(r) + 2*s(r). Let q(o) be the first derivative of -o**2 - 13. Give q(u(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 6601 and 6601 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 185812 to the power of 1\/2, to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17ed (base 15) to base 2.\nAnswer: 1010000110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/24*(-12)\/(-4))\/((-2)\/2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.11654 (b) 6 (c) 47 (d) -2 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152589 = 3*h + 5*n - 152567, 8*n + 24 = 2*h - 4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 76 + -80.9. Let m = -4.8999978 - t. What is m rounded to 7 dps?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 22*a**2 + 2*a + 46. Let l be d(-22). Let h(q) = 3*q - q - q - l*q + 3. Determine h(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1626315\/68 + -39803669\/1768. Let v = 1403 - h. Which is bigger: v or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1226 - 1177. What is the remainder when (-1)\/((-4)\/(-18))*-32 is divided by g?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 19, 92, 165, 232, 287, 324?\n\"Answer: -q**3 + 6*q**2 + 62*q - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-2\/9))**(24\/11)\/(o**(1\/2)*o)**(8\/7) assuming o is positive.\nAnswer: o**(20\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q**3 + 4*q**3 + 2*q**3 + 2*q**2 - 2 + 207*q**4 - 205*q**4 in the form d*q + n*q**3 + f*q**2 + w*q**4 + j and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 9. Let k = y - -1. Suppose -c = c. Sort c, k, -4 in decreasing order.\nAnswer: k, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y**(2\/11))\/y**(1\/20))**(4\/3))**(-2\/53) assuming y is positive.\nAnswer: y**(-938\/8745)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 0, 8, 5, -1089 in descending order.\nAnswer: 8, 5, 4, 1, 0, -1089","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12770789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 6*a - 1. Let x be u(-5). Calculate the lowest common multiple of 11 and (-16)\/x + (-2)\/(-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4*r - 80 = 0, 3*r + 26 + 1 = z. Solve 0 = -5*l - z + 37 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -2*f + 2 + 5\/2*f**2. What is the units digit of x(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 898?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/24 and 55\/2256.\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 45*c*u*y - 4*c*u - 46362*c + 34*u*y - 11*u - 2135*y - 3 with respect to y.\nAnswer: 45*c*u + 34*u - 2135","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t**2. Let j(c) = -7*c**2 - c - 1. Let d(o) = -3*j(o) - 5*x(o). Suppose -y - 20 = 4*y. Let q be d(y). What is the highest common factor of q and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/2223 and -3\/65.\nAnswer: 11115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(4\/(-18)) + 0. Suppose 3*p = -3 + s. Suppose -p + 0 = x. Which is smaller: x or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -127\/413?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -215 - -219. Suppose -6*g - 4 = -52. Calculate the lowest common multiple of g and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*y**3 + 131*y**2 + 104 wrt y.\nAnswer: 12*y**2 + 262*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.9 - 2.1. Let o = 7 + g. Let b be 26\/(-7) - 8\/28. What is the third biggest value in 0, o, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4 + 30*h**3 + 63*h**2 - 12*h - 84.\nAnswer: 3*(h - 1)*(h + 2)**2*(h + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6207.7 and -3.\nAnswer: -18623.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**0)**(1\/31) assuming a is positive.\nAnswer: a**(1\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -r**7\/1260 + 3*r**4\/8 - 2*r**2 + r. Let u(k) be the second derivative of h(k). Let o(a) = -2*a**2 - 128. What is o(u(d))?\nAnswer: -8*d**4 - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/13 + 10*o**2\/13 + 14*o\/13 + 6\/13.\nAnswer: 2*(o + 1)**2*(o + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -721*(1\/4)\/(-336*1\/(-192))\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-1\/2))\/(v*v**(1\/3)*v)*v*v*v**(-1\/3)*v\/(v*((v*v**(-1)\/v)\/v*v*v)\/v*v*v))**(-12) assuming v is positive.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -g - 4*a, 2*g - 18*a + 22*a = 118. Let o = -215 + 943. Calculate the remainder when o is divided by g.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 16) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -63. Let i(r) = -31. Let w(o) = 2*i(o) - m(o). Let j(z) = -z - 14. What is -j(l) + 2*w(l)?\nAnswer: l + 16","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 105997878 and 27636.\nAnswer: 211995756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45998872 and 1498?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 times -10239?\nAnswer: -604101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 322 = -4*a - 0*v, -2*v - 411 = -5*a. Suppose 8*z - 131 + a = 0. Solve -4 = -z*i + 2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 14961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111001110100 (base 2) to base 16.\nAnswer: e74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from bbbbbbbbbqvbbbbbbbb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 28 - 16)*(3*a - 5*a + 5*a - a**2).\nAnswer: 5*a**2 - 15*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (4 - (3 + 1)) - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -707 != -708?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*f = -36, 0 = 5*g + 89*f - 85*f + 12. Solve 8*c - 3*c - 21 = g*m, 0 = 3*c - 2*m - 11 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**2. Let n(x) = x**2 + 4*x + 2. Let i be n(-4). Let c(q) = -q - 2*q - i*q - 3. Let g(s) = s + 1. Let k(o) = c(o) + 3*g(o). Determine h(k(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**2 - 7*n + 7*n)*(n + 2*n - 5*n) - 539*n**3 + 600 + 96*n**3 - 600.\nAnswer: -453*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 252605.6 weeks in milliseconds?\nAnswer: 152775866880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 11. Does 7 divide ((-14)\/(-4))\/(x\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -89686637 divided by 14389\nAnswer: -6233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3182172.\nAnswer: 2, 3, 7, 43, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 1\/((-16)\/60))*-2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 4. Suppose d = s*n + 6*d - 46, -24 = -n - 3*d. Let b = 95 - 78. Which is bigger: b or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 257771339?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - -7 - 1287\/253. Let r = -2 - -1. Is l bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 13 and 459187.89987277.\nAnswer: 459200.89987277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 2 + 3 - -1. Suppose -2*r + x = 2. Let n(s) = -6*s**3 + s**2 + s - 1. Give n(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -279371, -2236740, -7550123, -17897528, -34956963?\nAnswer: -60406436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -3, -48936.\nAnswer: -48936, -13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a + 3 - 2 + 10 - 4. Calculate k(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (82\/(-3) + -6)\/(-9 + (-232)\/(-24)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/(-6))\/((-115)\/690). Let n be 2 + (0 - a) - 1. Solve n*h - 4 = 2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 3, -2 in ascending order.\nAnswer: -2, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 73096.23 micrometers in nanometers?\nAnswer: 73096230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49.944 - -50. Let s = c + 0.074. Which is smaller: s or 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -1\/8*w**2 - 1\/6*w**3 + 0*w + 2 - 1\/16*w**4. Factor d(c).\nAnswer: -c*(c + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, x: 5, v: 3}. Give prob of sequence xx.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 0, 9, -23.\nAnswer: -23, 0, 1, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 24, 49, 72, 93, 112, 129?\n\"Answer: -p**2 + 28*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 204207784 to the nearest integer?\nAnswer: 14290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/48)\/r)\/r*r**42 assuming r is positive.\nAnswer: r**(1921\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-31 + 46)\/((-9)\/(-2262)). Suppose u = -116*l + 129*l. Is 46 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 19*a**2 + 2 - 3 + 2.\nAnswer: -19*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.0387 * 409\nAnswer: 15.8283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of r**4\/24 - 29*r**2\/2 + 39. Let p(l) be the second derivative of n(l). Let k(o) = -11*o. Calculate p(k(s)).\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1618*q + 1 - 3 + 4502*q.\nAnswer: 6120*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76775501*s + 76775586*s - 2550 = 0 for s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 1\/4 (c) 0.83 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2429721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(77)\/((sqrt(28) + sqrt(7))*3).\nAnswer: 5*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a hour in seconds?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 11:04 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35.3032*-0.695.\nAnswer: 24.535724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -51*s**3 - 2*s**2 + 6*s - 5. Let f be u(1). Let g be 4\/(-10)*390\/f. What is the third derivative of 22*r**3 - 67*r**g - 54*r**2 + 9*r**2 wrt r?\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -19 + 13 - -31?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 6*n**2 + 1941*n - 205. What is u(47)?\nAnswer: 453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4*((-1 + (sqrt(396) - (0 + sqrt(396))) - (-1*sqrt(396)*4)**2) + 2) + -1).\nAnswer: -76017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of 2*m**7\/21 + 4*m**6\/15 - m**5\/5 - 2*m**4\/3 - 4*m + 6. Determine v so that p(v) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-4)*(-1)\/(-3). Sort -2\/13, x, -2\/47, -2 in decreasing order.\nAnswer: x, -2\/47, -2\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 56795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2904, -2727, -2206, -1167, 564, 3161, 6798?\n\"Answer: 29*k**3 - 2*k**2 - 20*k - 2911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 12*q**2 - 5*q - 4 - 1 - 11*q**2. Let i be x(5). Suppose 0 = -0*m - 2*m + 5*l + 26, 0 = m - 2*l - 11. Sort 4, i, m.\nAnswer: i, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50b2 (base 15) to base 10\nAnswer: 17042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.051922 rounded to three decimal places?\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 3*v + 27, -18 = v - 13 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 189947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*s + 18*s - 230*s)*(-3*s + 0*s + s).\nAnswer: 472*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66 - 70. Let c be (2\/k)\/(-1)*-6 + -1. Is 4\/6 + c + (-242)\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -r**6\/180 - r**5\/20 + r**4\/3 - r**3 + 5*r. Let g(z) be the second derivative of u(z). Solve g(l) = 0 for l.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/195 + 58\/210.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1111 or 1084152\/977?\nAnswer: 1084152\/977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177 - k**2 + 177 - 533 + 179.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**6\/120 - g**5\/60 - g**4\/8 + g**3\/3 + 14*g**2. Calculate j(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 153, 350, 637, 1020, 1505?\nAnswer: 2098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000016354 rounded to seven decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2 + 31*u + 11. Is h(14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 + 4*d**2 + d**2)*(d + 0*d - 3*d)*((-3*d + 0*d + 2*d)*(3*d - 2*d + 0*d) - d**2 - 16*d**2 + 2*d**2) - 176*d**5 + 353 - 353.\nAnswer: -112*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -l**2\/2 - 5*l + 6. Determine t(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -3*m - 27, -2*l + 3*m = -4*l - 22. Let j = 0 - l. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -571 < -574?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.41572 to two decimal places.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1781.000236 - -1781. Round d to 5 dps.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 15, 3, -2 in decreasing order.\nAnswer: 15, 3, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3166 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 10*w + 90 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43 and 1376.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 2 = 6*d. Suppose d*h - 2*o - 39 = -h, 2*h - 4*o = 26. Solve 0 = -5*q + h - 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zq when two letters picked without replacement from {q: 2, t: 1, z: 1, a: 3, x: 3, u: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k + 7. Let f be h(-3). Suppose x - 2 - f = 0. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -369\/4 + 92. Let q = 2.05 + -0.05. Put s, q, -0.5 in decreasing order.\nAnswer: q, s, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1449653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n + 2*x - 14, 3*n - 7*x + 13 = -6*x for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/4*-1*330\/(-264)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-196)\/(-147))\/(8\/6*-2*10\/(-360))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17591 and 24304?\nAnswer: 8725136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2468 + -437. What is the thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -30. Sort 4, 5, b.\nAnswer: b, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/23 < 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*u + 42 = -32*u. Suppose -2*o + c = -u, 14*o - c - 12 = 9*o. Solve -19*j + 20*j + o = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100201002 (base 3) to base 10.\nAnswer: 7076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 90465, 181565, 272665, 363765, 454865, 545965?\n\"Answer: 91100*n - 635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**2 - 4*c**2 + 11*c**2 - 7*c**3 - 9*c**2 to the form u*c + h + n*c**3 + x*c**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 7*u - 24. Let v be n(10). Solve w + v = -4*k, -w - k + 4*k + 1 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-14) - (-10)\/(-14). Let x(d) = -d**3. Let f be x(i). Are f and 1\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (10 + (-78320)\/15330) - ((-2288)\/231 + 10).\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/10 less than 82\/249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 340 and 740.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/3 (b) 0.3 (c) 0 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 + -14?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -156646518*q - 87544943?\nAnswer: -156646518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 5*w**2 + 1212*w + 20213. Calculate q(-18).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1068.500003766 + -1068.5. What is h rounded to 7 decimal places?\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*u + 14 = -u, 5*u = -10. Let p be 1\/(r\/12) - (-6)\/4. Let s(o) = o**3 + 5*o**2 - 6*o. Let j be s(-6). Is j greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - -3 - 3\/(-3). Let t be ((-12)\/(-3))\/v*1. Which is the nearest to t? (a) -1\/4 (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*m + 19426 = 911*m for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.9 + 7.9. Let y be 3*4\/(-18)*-6. Which is the nearest to -1? (a) q (b) y (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 2*l**2 - l + 1. Let d be k(1). Let b = -0.3 + 0.3. What is the nearest to d in b, -2, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5 + sqrt(320) + sqrt(320) + 1 - sqrt(320)) + 2 + sqrt(320) + -2 - ((sqrt(320) - (0 + sqrt(320) + -1)) + (sqrt(320) + -2)*4))*-1)**2.\nAnswer: -96*sqrt(5) + 1289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -14*b + 26. Solve -u + 15 = b*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 27 and 0.0007.\nAnswer: 27.0007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17394 is divided by 1242?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*c + 19*c - 44*c + w = -4 - 27, 0 = 5*c + 28*w + 283 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 774 and 254922?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c**2 - 2*c - 7. Let j be 16\/(-4) + 12 + 4\/(-1). Is 32 a factor of k(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + k - 2. Let u be r(2). List the prime factors of 8\/(1\/u*2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -16*x**3 + 3*x - 2. Give z(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*g**2 - 26*g**2 + 21*g**2 + (-3 - 2*g + 3)*(3 - 3 + g) + 5*g**2 + g**2 - 4*g**2 to the form o*g**2 + w*g + i and give o.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 5*o - 10, 3*o = -o + m + 13. Let q(h) = -h + 8. Let j be q(o). Solve -4*t - 15 = -j*s, 3*s - 12 = 2*t - 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 35*y**2 + 104*y + 4. Let k be o(-3). What is the highest common divisor of k and 224?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 218.8761.\nAnswer: 218.8761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/8*2\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1953, -4031, -6235, -8565?\n\"Answer: -63*i**2 - 1889*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 + 3422*u + 3421.\nAnswer: (u + 1)*(u + 3421)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 6*u**2 - 5*u - 2. Let l be o(5). Let i be (4\/(-3))\/(l\/(-15)). Let a be (4\/i)\/(4\/(-20)). Solve 0 = -h + 2*n - a, 2*n = -4*h + 1 + 1 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 3 - 3)*(-74 - 179 + 110)*(-2*l**2 + l**2 + 2*l**2).\nAnswer: 143*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*a**2 - 9*a + 1 + 5*a**3 - 8*a**2 + 4 - a**4 + 0 + 8*a to q*a**2 + n*a**4 + b*a**3 + o + v*a and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -49*o - 480. Let d = 2 + 1. Suppose -3*g + 26 = -2*g - 2*w, -89 = -d*g - 5*w. Calculate the remainder when g is divided by q(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*g - 1852 + 1377 for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -2, -1\/53, 4 in decreasing order.\nAnswer: 4, 0.1, -1\/53, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 1)*45\/(-27)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - -799.\nAnswer: 798.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10.33 + -10.9. Let d = a - 0.03. What is the second smallest value in 4, -1\/2, d?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/80 (b) -2\/7 (c) 14\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/39200923 and 37\/520157?\nAnswer: 431210153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100000011 + 0?\nAnswer: 1100000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3\/65 - -49\/65. Let z = 0.4 - -2.6. Let m be (-4)\/(19\/((-171)\/(-189)) - 5). Which is the smallest value? (a) -0.4 (b) m (c) z (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -21.15 - -20.8. Let r = h + 0.344. What is r rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-51 - 7*n + 18*n - 12*n)*(2*n**2 - 3*n + 1880*n**3 + 1883*n**3 - 3761*n**3) to the form z*n**2 + u*n**4 + v*n + j + g*n**3 and give v.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 3:42 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1333232 (base 4) in base 14?\nAnswer: 2d9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: -3.59*1\nAnswer: -3.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 34471260 to the power of 1\/2, to the nearest integer?\nAnswer: 5871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**3 - 2*m**2 + 2*m**2 + 2*m**3 - 5*m**3 + 2*m**3 - m**3 + 5*m**3 - 2*m**3 + (-3*m + 3*m + m**3)*(1 - 3 + 4) - 32*m**2 - 8*m**3 + 32*m**2.\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -2*sqrt(3888) - sqrt(3888)) + (sqrt(270)*-1 - sqrt(270))\/sqrt(10) + sqrt(27) + -1 + 1)**2 + 5.\nAnswer: -888*sqrt(3) + 36984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + -0.189.\nAnswer: 37.811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*i + 33 = -5*j, 2*j = -4*i - 2. Suppose 4*d - 4 = i*s - 2, 2*d = -2*s + 16. Does 34 divide -1 + (d - 4) - -70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 13976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d = 0, 2*d = -4*c + 16. Let f(r) be the third derivative of -r**2 - 1\/6*r**3 - 1\/24*r**5 + 7\/48*r**c + 0*r + 0. Solve f(a) = 0 for a.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -2*o**3\/3 - 15. Let f(d) = -6*d + 139. Let h(z) = -2*z + 46. Let j(l) = -6*f(l) + 17*h(l). Calculate j(x(n)).\nAnswer: -4*n**2 - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35390395765 + 63*k**3 + 35390395765.\nAnswer: 63*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1996219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0.24 (c) -19 (d) 0.2 (e) -29.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of f**3\/3 - 5*f**2\/2 + 8*f. Let h(n) = 2*n - 4. What is -4*a(i) + 5*h(i)?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 232550403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 724323257.\nAnswer: 7, 6113, 16927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -17 - 182. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5*b**2 - 3*b. Let s(p) = -5*p**2 + 2*p. What is -6*s(t) - 4*y(t)?\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence go when two letters picked without replacement from {o: 3, i: 1, y: 4, v: 2, g: 8, h: 2}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a + 0*a - 2*a**2 + (0*a + 2*a - a)*(-a - 3*a + 5*a) + 54*a**2 - 7*a**2 - a**2.\nAnswer: 45*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 9*d - 217. Suppose w = d + 71. List the prime factors of w.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24517 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 326\/3*v**3 - 46\/3*v**4 + 2\/3*v**5 - 200\/3 + 640\/3*v - 722\/3*v**2.\nAnswer: 2*(v - 10)**2*(v - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-6))\/((-189)\/(-21)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 120 and -2016.1.\nAnswer: -241932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -50?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5707 + -5702. Which is the second smallest value? (a) -0.2 (b) 2\/2289 (c) m (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1763 is divided by 24.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 670073 - -1429919. Let v = 7 - 3. Suppose -v*f - 5*r = -8399980, 0 = -f - 0*f - 2*r + u. Round f to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 152 - 8394025324.\nAnswer: -8394025172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*i + 1. Suppose -2*y + y = 0. Suppose -i*z + 135 = -y*z. Is z a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 35\/(-21)*((-632)\/(-40) - 17). Let q = -11 + 8. Sort b, 5, q, -14 in increasing order.\nAnswer: -14, q, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0, 4, 458?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.353 from 106221429.604.\nAnswer: 106221431.957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.06, -0.4, 17?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.0091, -3, -0.2, 0.3, -44?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + h - 129 = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48 - -74. Let s = 31 - r. Is 2 a factor of (4 - s)*1 + 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 35*l. Let x(c) = 2135*c. Suppose 2*v = -18*s + 20*s + 486, 747 = 3*v + 6*s. Give v*p(u) - 4*x(u).\nAnswer: 35*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c - 3*c - 81*c**2 + 6*c.\nAnswer: -81*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 less than 424\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 61619560213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-539)\/(-66) + -8)*3678 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -432*s. Let x be k(-1). Let d = x + -262. Suppose 195 = 5*i + 2*c, i + 4*i - d = 3*c. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1284 + -0.2854. What is z rounded to two decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/4902 and -131\/456.\nAnswer: 19608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12039 + 12045. Solve 3*d = -2*g - 19, -7*g + r*g - 2 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3778*a - 6129. Calculate the remainder when w(-7) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1101 + -1202212202001?\nAnswer: -1202212200200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -r**3\/12 - 79*r**2\/4 - 6241*r\/4 + 121. Factor q(l).\nAnswer: -(l + 79)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*k = 2*f + 269010, -k + 67245 = -2*f. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 217, 486, 863, 1348, 1941?\nAnswer: 2642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -33256534.8 to the nearest 100000.\nAnswer: -33300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142339 - 142339 + 2*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, g: 2, o: 4, n: 2, j: 7}. Give prob of sequence wnng.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-2)*112\/(-24).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -139319? (a) 5 (b) -0.5 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 125895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uy when two letters picked without replacement from {y: 3, u: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4*5297\nAnswer: -21188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 9 + 7. Let w = 3 - h. Let x = w + 1. Which is smaller: x or 2\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29331 (base 12) in base 15?\nAnswer: -1207d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2990 (base 10) in base 2?\nAnswer: 101110101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13202 + -131?\nAnswer: -13333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -142542 - 200?\nAnswer: -142742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1203853684?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -11*h + 45. What is b(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g. Let h(m) = m**2 - m - 1. Let y(q) = 11*q**2 - 4*q - 4. Let v(p) = -4*h(p) + y(p). Determine v(w(t)).\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 11*l**2 - 3. Let b be i(11). Let q be ((-6)\/9)\/(b\/36). Let r = 11 - q. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zhuzlhzhzoyluh. What is prob of picking 1 l, 1 u, and 1 o?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 133 - 83. Calculate the least common multiple of 18 and h.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1636845 and 11004.\nAnswer: 6547380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -7, 4, 34, -2\/15, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, h: 8, i: 1}. Give prob of picking 2 l and 1 h.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1921 - 1107. Is 38 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 162685260 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4863a7 - 3c?\nAnswer: -486405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s + s + 0*s. Suppose -4*h + 7 = -l, -3 = -3*l - 0. Let d(c) = -2*c**h + 4*c**2 - c**2. Calculate a(d(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**9*x)**(-18)\/(x**16\/(x\/x**18*x)) assuming x is positive.\nAnswer: x**(-212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.83 - 0.17. What is the nearest to 2\/5 in a, 1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/955930 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*d = -85*d - 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 4*g + 2*g)*(469*g**2 - 43727 + 43727)*(-2*g - 3 + 3)*((-1 + 0 + 3)*(4*g - 2*g + 4*g) + 2*g - 2*g + g + g - 6*g + 3*g + (1 - 1 - 2*g)*(0 - 4 + 2)).\nAnswer: 28140*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-36)\/(-27))\/(1\/9). Suppose y*b - 26 = -194. Calculate the common denominator of (-34)\/68*(71\/b)\/(-1) and 109\/36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(84)*-6)\/((1*sqrt(72))\/sqrt(6)).\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = h - 7. Let x be (-3 + h\/(-6))*-9. Suppose -x*j + 4*r = 29 - 96, 31 = j + 3*r. Solve j = -5*o - 0*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57.9 - 57.889. Let j = 0.211 - o. What is the nearest to j in 0.5, 45, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, j: 5, u: 11, s: 2}. What is prob of sequence jos?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63 + -92. Let m = 29.5 + o. Let w = 0.2 - -0.8. Which is the nearest to w? (a) 1 (b) -2\/3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/114)\/((249\/18)\/83)\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 12, t: 3}. What is prob of picking 2 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14369 + 11734 = 5*g - 4*w, 2*g = 3*w + 10437. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**3 + 0*z**2 + 0*z**2)*(-5*z**2 + z**2 + 1 + 2*z**2) + (2*z**3 + z**3 - z**3)*(-3*z**2 + 3*z**2 - 3*z**2).\nAnswer: -4*z**5 - z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 233558, 7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -413*s - 16. Let u(o) = -275*o - 11. What is 5*c(i) - 7*u(i)?\nAnswer: -140*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1541880 to the nearest one thousand.\nAnswer: -1542000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -115*k**4\/12 + 39*k**3\/2 + 2*k**2 - 6. Differentiate n(h) wrt h.\nAnswer: -230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -268 + 376. Let m be (6\/(c\/(-45)))\/(198\/8). Are -1 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18752?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -188*y + 11 + 18 - 34*y - 32 - 2*y**2 as t*y**2 + m*y + c and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 31, -108066?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3 = -2*a. Is 4*a\/4*2 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 i, 1 j, and 1 n when three letters picked without replacement from {u: 1, i: 8, j: 5, n: 1, q: 2}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -397 divided by 18?\nAnswer: -397\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - -14. What is the remainder when 2\/(-15) + -48*(-1725)\/13500 is divided by 4\/3 - 4\/w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23 and 28018186?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 68, 139, 228, 329, 436, 543?\nAnswer: 644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 210.6, -2\/11, -2 in descending order.\nAnswer: 210.6, 2\/9, -2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14.7 - -0.3. Let u = m - 14.932. What is u rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -11*z**4 - 5*z + 5*z**5 + z**4 + 10*z**2 + 59 - 59 = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/107? (a) 2 (b) 0.5 (c) 1 (d) -8 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-6)\/(-10)*-1*1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*y - 10. Suppose 5*x = 2*d - 28, 0*d + 24 = 2*d - 3*x. Let z = d - 13. Put 0, y, z in ascending order.\nAnswer: z, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 28. Let f be w(-31). Is 349 - (-2 - (f - 2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/197 and -50\/3.\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q + q - 5*q - 2*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 (base 6) in base 9?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23437.0000083028 - -23437. What is c rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 50*k**2. Let x(u) = 1332845*u**2. Calculate t(x(p)).\nAnswer: 88823789701250*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -8. Let t(w) = 30*w. Let s be t(k). Suppose -s = 4*m - 2*y, y + 1 + 9 = -3*m. Which is the second smallest value? (a) 2 (b) 1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p - 4*p + p + (1 - 3 + 0)*(-5*p + p + 3*p) + p - 2 + 2 + 0*p - 2*p + p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c = -l + 9*c - 3, -c - 19 = 4*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.060826 centimeters to meters.\nAnswer: 0.03060826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264*y - 4520 = -188*y for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10791.3 less than -0.05?\nAnswer: 10791.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -f + 1, 0 = 40*f - 35*f + 20 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 0.0268.\nAnswer: 0.134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - p**2 + p. Let m be l(0). Let y be 1*(0 + m) + -7. Let i = y - -12. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1982940 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3144, -6321, -9502, -12687, -15876, -19069, -22266?\nAnswer: -25467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3}. What is prob of sequence gg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.9035 + 1.9. Round s to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1836\/5 - 2533\/15. Let q = -198 + k. Let -q*n**2 + 0*n + 0 - 4\/3*n**3 + 5\/3*n**4 = 0. What is n?\nAnswer: -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -450*w**3 + 151*w**3 + 152*w**3 + 149*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5 times -842?\nAnswer: 1263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 16*j - 5. Let i(t) be the first derivative of 3*t**2\/2 - t - 2. Let m(z) = 33*i(z) - 6*o(z). Let l be m(2). Sort 1, l, -2.\nAnswer: -2, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 9*b - 164. Let s be 12\/((-2)\/(60\/(-9))). Which is smaller: b or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*p = 157, -5*r - 2*p - 31 = 210. Let w = r - -55. Solve 9 - w = -3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28135 is divided by 234?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -73*t - 105. Let i(q) = -147*q - 182. Calculate -7*d(g) + 4*i(g).\nAnswer: -77*g + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 704 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 793\/628 + -5\/4. Let d = -175\/1413 + s. Let j = 4255 - 4258. Which is greater: j or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 541*s - 340 = 1433 - 150 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11)\/(-22) - 1\/2. Suppose u*j - 28 = -7*j. What is the lowest common multiple of 56 and j?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -438, -874, -1310, -1746, -2182?\nAnswer: -2618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 - 4*v + 6. Let o(d) = d**2 + 4. Let q be o(0). What are the prime factors of s(q)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -k**6\/6 + 7*k**5\/4 - 5*k**4\/6 - 100*k**3\/3 - 2*k - 4076. Factor z(s).\nAnswer: -5*s*(s - 5)*(s - 4)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 653*n - 10755 + 3654 = -136*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7661977 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: Sort -3, 806, -5, 80, -4, 2 in descending order.\nAnswer: 806, 80, 2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -166\nAnswer: -3\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of 1\/20*s**5 - 4*s**2 + 1\/40*s**6 - 1\/4*s**4 + 0*s + 0*s**3 + 0. Factor a(b).\nAnswer: 3*b*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8808 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/((-9)\/(-12)*(-64)\/(-72)). Let l be 19\/f + 102\/153. Let q(d) = -10*d**3 + 4*d**2 - d - 7. Let m(b) = 3*b**3 - b**2 + 2. Calculate l*m(g) + 2*q(g).\nAnswer: g**3 + g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.31 + -0.03. Let t = 0.06 - n. Let c = t + -4.9. What is c rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -4. Let l = -44 + 64. Let h = l - 7. Solve h = -5*v - s for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15.65 + -90.25. Let w = k + 111. Let i = w + -5. What is the second biggest value in -2, -0.5, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 57 + 53 + 26*n.\nAnswer: 26*n + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/126 and -151\/882.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -u - 5*k + 37, -4*u - 58 = -2*k. Put 0, -8, u in descending order.\nAnswer: 0, -8, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51531732 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.98 - -0.02. Let c = q + -1.94. Put 3\/4, 2\/5, 0.5, c in increasing order.\nAnswer: c, 2\/5, 0.5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 11:58 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - ((1 - 1) + (23 + -26 - -7))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fw when two letters picked without replacement from {f: 2, e: 9, w: 2, j: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**3\/4 + 161*a**2\/4 + 1640*a + 1600 = 0.\nAnswer: -80, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 234 and 390.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.01 (b) -5 (c) -0.5 (d) -1 (e) 1\/9 (f) -41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 37*m**2\/3 + 7732*m\/3 + 2496.\nAnswer: (m + 208)*(37*m + 36)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -6, -0.2, 0.028?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8809614 + 22.4\nAnswer: 8809636.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2863585.\nAnswer: 5, 19, 43, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -17, 4, -15, -1\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 443265 and 1773059\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1284 = 5*h - 2*m, 4*h + 3*m = 6*m + 1023. What is the lowest common multiple of (-6)\/(-9) - 97\/(-3) and (1161\/h)\/(2\/((-8)\/(-3)))?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -17*o**3 + 5*o**2 - 3*o. Suppose -2*v + s - 8 = -2, 2*v - 2*s = -6. Let a(p) = p. Let j(z) = v*a(z) - c(z). Find the third derivative of j(q) wrt q.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r - 14. Let v be d(-6). Let k(j) = 7*j**2 - 24*j + 10. What is the units digit of k(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32098*d - 10 = -32100*d - 4*b, -4*d = -b + 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 19*b + 337. Determine t(-19).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, s: 1, h: 1, p: 2, z: 2}. What is prob of picking 1 z and 1 h?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 5*i**2 - 3*i - 1. Let x be l(4). Suppose 5*u = x*a + 3 + 7, -2*a + 25 = 3*u. Solve -5*b + 27 = 4*v, -v - u*b = -2*v - 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 3*a + 17. Let c(w) = 7*w**2 - 4*w**2 - 2*w**2 + 2 - 1. Let f(h) = 6*c(h) - u(h). Is f(3) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 4)*(3*l - 3*l + 3*l**3 - l**3 - 2 + 2 + (0*l**2 + 2*l**2 - 4*l**2)*(0 + 0 + l) + 0*l**2 + 0*l**2 - 2*l**3) + 5 + 2*l**3 - 5.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2057638 is divided by 508?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**4 - 30*g**3 + 65*g**2 - 60*g + 20.\nAnswer: 5*(g - 2)**2*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 7:09 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -88\/285 and -29\/6441.\nAnswer: 32205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*o + 0*o + 2*o)*(4 - 2 - 1) - 34*o - 27*o + 13*o)*(-5 + 5 - 1) to t*o + k and give t.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2053673 is divided by 230.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 2*r**2 + r - 1. Let i(c) = 7*c**3 - 11*c**2 - 5*c + 10. Let a(g) = i(g) + 6*l(g). Give a(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -23, 5, -4, 0.4?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -302867?\nAnswer: -302871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, w: 1, u: 2, c: 2, x: 1, e: 1}. Give prob of sequence ecxc.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 479100\/7 - 68588. Which is the closest to -1\/5? (a) 0.3 (b) g (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4953636.\nAnswer: 2, 3, 15289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49\/((-3822)\/1768)*(-6)\/12*(-12)\/4.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 873.368, 2\/7, 14 in ascending order.\nAnswer: 2\/7, 14, 873.368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-5) + (-4)\/10. Let v be (3 - 1)*(1 - o). Suppose 0 = v*z - 4*z + 12. What is the units 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 2*i**2*m**2 - 37982*i**2*m - 292*i**2 - 310*i*m**2 - i*m - 3842*i + 2*m**2 - 3*m wrt i?\nAnswer: 4*m**2 - 75964*m - 584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1)*n*n)**(-3)*(n\/((n\/(n\/n**(5\/6)))\/n))\/((n\/n**(2\/5))\/n)*((n*n*n**(-1\/8))\/(n\/(n**(4\/3)\/n)))\/((n**(1\/2)*n*n)\/n)**(6\/13) assuming n is positive.\nAnswer: n**(-477\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 5, 1067.7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 213467*b - 21356696. Determine d(-100).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88 - 182 + 94 + 116466*r - 18680*r.\nAnswer: 97786*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20433240 (base 5) to base 10.\nAnswer: 171070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 343*o**4 - 1372*o**3\/3 + 1174. What is the third derivative of m(k) wrt k?\nAnswer: 8232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + sqrt(76)\/sqrt(4)) - ((sqrt(133)*-1)\/sqrt(7) - (sqrt(38)\/sqrt(2) + -4)).\nAnswer: -22 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 2, 1.206, 0.19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -62 - (468 - 535)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50808 and 1314.\nAnswer: 152424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3209169 or 3209155?\nAnswer: 3209155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 l, and 1 z when three letters picked without replacement from {z: 1, l: 1, i: 1, u: 1, k: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/2, 9, 4\/3, 0.1, -2, -43, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -116724, -117949, -119176, -120405?\n\"Answer: -u**2 - 1222*u - 115501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7278938886.\nAnswer: 2, 3, 37, 71, 461803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 c when two letters picked without replacement from tnnc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from agwgwwgywgccaw. Give prob of sequence wwwg.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z + 5*o - 7*o - 4, 3*o = -12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 155177 (base 9) to base 10\nAnswer: 95650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20436022.\nAnswer: 2, 857, 11923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-4)\/(-2))*2703\/16218.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o - 18*o + 726 = -5*i, 0 = -o + 3*i + 185. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 59\/24 (b) -0.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((3*((sqrt(3078) - sqrt(38)) + sqrt(38)))\/(sqrt(2) - (sqrt(8) + sqrt(2))*6) + -2).\nAnswer: -54*sqrt(19)\/17 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from amaammmammmmmmmmama?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2547 + 2?\nAnswer: -2545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2861 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 974.0000009785 + -974. What is g rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 5*v**2 + 4*v - 18. Let h be a(5). Let g be (-7)\/((-35)\/h)*-65. What are the prime factors of (-4)\/g + (-2646)\/(-39)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -k**7\/189 - 67*k**6\/540 - 133*k**5\/135 - 23*k**4\/9 - 8*k**3\/3 + 48*k**2. Solve b(a) = 0.\nAnswer: -6, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 37276205 and -1.408?\nAnswer: 37276206.408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 - 11 - 3 - 2*v)*(6*v - v - 3*v).\nAnswer: -4*v**2 - 78*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 3*g - 807, -1295 = -5*a + 5*g - 0*g. Let o = -174 + a. Let w be (-3)\/(o\/24)*(-5)\/2. Solve -4*y = w*i + 2, -i = 3*i + 2*y - 14 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -42925364?\nAnswer: -3\/42925364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121 + 111110?\nAnswer: 110323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 52 (c) -0.1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 4*p**2\/3 - 6164*p\/3 + 6152 = 0.\nAnswer: 3, 1538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*f - 53*f - 456 = 30*f for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 358346322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/971 and 37\/86787.\nAnswer: 84270177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 z, 1 s, and 1 c when four letters picked without replacement from cnccnhzshhh.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -29, -81, -147, -233, -345, -489, -671, -897?\n\"Answer: -s**3 - s**2 - 42*s + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 10*b**2 + 2875*b + 28626. Calculate g(-10).\nAnswer: 876","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 867.0102nm to kilometers.\nAnswer: 0.0000000008670102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 11, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2995 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -5, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 2*v**2 + 4*v - 6. Let i be z(2). Factor 0*c + 0*c**i + 8\/7*c**4 + 4\/7*c**5 + 0*c**3 + 0.\nAnswer: 4*c**4*(c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 + 23. Suppose 6*u - u = k. Let f = 3 + u. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 66, -7\/4, 2, 4, 0.5 in ascending order.\nAnswer: -7\/4, 0.5, 2, 4, 14, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvvwbwwbwb. What is prob of picking 1 x and 1 b?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135 + 87 = -8*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 449 + 804?\nAnswer: 1253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 17*s = 40. Let k be (s\/(-6))\/(18\/27). Suppose 16 = -k*o + 6*o. Solve 2*h = -0*h - o for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 47, 75, 103, 131?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -9836*g**2 + 1837*g**2 - 224*g + 224*g as f + o*g + p*g**2 and give p.\nAnswer: -7999","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 26 = 5*i - 59, 2*i + 3*t = 33 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 152.543 rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 98240755.12 + 0.083\nAnswer: 98240755.203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/7034 and -40\/3.\nAnswer: 21102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19313 - 110034 = 3531*r + 574*r + 14328 for r.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 769619646 and 0.03?\nAnswer: 769619645.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**2 - 40*f - 300. What is n(-10)?\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*y - 90*y + 48*y + 1793*y**3 + 874*y**3)*(-14 + 14 - y).\nAnswer: -2667*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2793?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express b - 158*b**2 + 77*b**2 - 2 + 82*b**2 in the form l*b + u + q*b**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 5, 1\/3, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 88110702?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 204 and 731.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1, 3, 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -78.303948 + 77.97394787. Let k = -73 + 73.33. Let t = c + k. What is t rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1631*h = -1674*h - 43. Let l = -7 - -7.4. Let x = -0.8 + l. What is the third biggest value in -0.5, h, -5, x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275 a factor of 2241149768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10)\/(-15)*(-54576)\/(24\/(-4))?\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 6*x**3 - x**2 + x + 27. Let i(l) be the first derivative of l**4\/4 - 1. Let u(r) = -5*i(r) + s(r). Is 13 a factor of u(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -204.9642 - 0.0358. Let x = -207 - a. What is the smallest value in -0.3, x, -17\/5, -3?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 u when four letters picked without replacement from {z: 2, u: 6}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 43*t + 2. Let a = -25 + 27. Let j be n(a). Calculate the greatest common factor of 11 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - (-18 - -51 - 41)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -3 - 2 - (4 - 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2606 - 2629 - (17 + -1 + -2)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 11132?\nAnswer: 11202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -400 + 406 - (-5 - ((0 - -2) + -2))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 46605115 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 105*y + 102*y = -21, 3*y = 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(17)*1)**2 - (4 + (sqrt(17) - sqrt(17)*-2)).\nAnswer: -3*sqrt(17) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 4)*(2 - 5 - 2)*(-132*c - 23*c - 29*c).\nAnswer: 3680*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 185*m - 5841 + 3088 - 116 - 6936 for m.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3568.192215361 - -1.\nAnswer: -3567.192215361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101110010001 + -11010111100?\nAnswer: -1001001001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1857, -3603, -5281, -6891, -8433?\nAnswer: -9907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 63, 75, 97, 135?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 158 = -154, 3*g + 2 = 5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1*1\/(-6))\/1. Suppose 0*q = -4*q, 3*g - 576 = 2*q. Let w = 959\/5 - g. What is the smallest value in w, k, 3\/7, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 4. Suppose -5*h - 8 = -4*w, 3*h = -u*w + w + 2. Suppose c - 6800 = w*c. What is c rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.5, -0.04, -5, 4, 68.1 in descending order.\nAnswer: 68.1, 4, 0.5, -0.04, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -64861, -131115, -197369, -263623, -329877?\n\"Answer: -66254*g + 1393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27\/88, 4, 0.7, -1.\nAnswer: -1, -27\/88, 0.7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35416702.\nAnswer: 2, 41, 431911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 1)*(0*r - 6*r + 3*r) + 4*r - 6*r + 18*r as t*r + o and give t.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -232 + 247. Let r(h) = -h - 11. Let z be r(0). Let c = z + j. Solve f + f = c for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -14*v**2 - 10*v - 8. Let s(b) = -b**2 - 1. Let w(d) = d**2 - 9*d - 4. Let n be w(10). Let l(t) = n*s(t) - y(t). Let l(c) = 0. What is c?\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22157, 2, -2 in ascending order.\nAnswer: -2, 2, 22157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h + 8. Let r be v(-4). Suppose -2*b - 466 = -r*a, 10*b = 3*a + 6*b - 342. Which is bigger: a or 117?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-557)\/(-5) + (-21)\/(-35). Let i = s - -78. Suppose u - i = -u. List the prime factors of u.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s**3\/7 - 2246*s**2\/7 + 9644*s\/7 - 8880\/7 = 0. Calculate s.\nAnswer: 4\/3, 3, 370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.7856 - -2.82. Let v = p - -0.3656. Which is the smallest value? (a) -0.2 (b) v (c) 1\/3 (d) -80\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2367767620 rounded to the nearest 100000?\nAnswer: -2367800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 14*q**2 - 13*q + 2. Let t be c(13). Suppose -t*p = 2*v, -2*v + 15 = -5*p + 4*p. Is 2 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1224834 + 12?\nAnswer: 1224846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-148)\/(-777))\/(2\/(-3)))\/1. What is the nearest to m in 0.41, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 696.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 16086?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -7. Suppose 5 = -3*x + 8*x. Which is the nearest to x? (a) -1 (b) 0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (119 + -66 - 80) + 59?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 2. Let g(x) = -3*x - 14*x + 5 + z - 11. Let h(r) = 8*r - 3. Let b(o) = 3*g(o) + 7*h(o). Let m(l) = 3*l**2. Determine b(m(q)).\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -15005 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/4 + (-56)\/(-224)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78)\/39*-2*-5.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1472 and 1298672.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1235.0008275 + -1235. What is h rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 - -2. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 + 36*j + 283. Calculate the remainder when a(-11) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 8:01 PM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -372.2+-9593.2282\nAnswer: -9965.4282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13447704 or -13447717?\nAnswer: -13447704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -18*h. Let b(v) = 139638*v - 2. Determine a(b(w)).\nAnswer: -2513484*w + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001015915 to 5 decimal places.\nAnswer: 0.00102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 234, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3*sqrt(1377)*-3 - (sqrt(136) - (sqrt(136) - -2*(sqrt(136) + sqrt(136)*3)))\/sqrt(8)).\nAnswer: -292*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*q + 5741 - 1341, -5*q + 5499 = l. Solve -455 + q = 92*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (112\/140)\/((-16)\/64)*(-25)\/(-30).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/373 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 - -32. What is the first derivative of 4 + n + 48*t**3 - 34*t**3 wrt t?\nAnswer: 42*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 511918*k + 9*k**2 + 8*k**2 - 511916*k - 4 - 18*k**2. Let q(h) = h**2 + h + 3. Let j be q(0). Suppose -4*b = b - l - 17, -9 = -j*l. Determine y(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/102 and -25\/18.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 39*l + 17. Suppose 129*p - 24 = 133*p - 2*j, -2*j + 29 = -5*p. Let y(x) = 26*x + 11. Calculate p*u(m) + 8*y(m).\nAnswer: 13*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 680?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -24 + 18, s = -4*i + 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 70 - (22 - 34 - -67)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 9*a - 10*a + a**3 + 5*a**3 + (4*a**2 - 3*a**2 + 2*a**2)*(-a + 0*a + 4*a).\nAnswer: 15*a**3 - a - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 444673234 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -l**3\/2 - l**2\/2 - 2*l. What is the remainder when 14 is divided by j(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 21773*h - 19 = -21776*h, h = 4*c + 12 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2542, -10169, -22880, -40675, -63554, -91517?\nAnswer: -124564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 21*v - 5. Let x(w) = -3*w**2 - 63*w - 14. Give -11*r(g) + 4*x(g).\nAnswer: -g**2 - 21*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.05 + -2.65. Let s = -12 + 12.02. Sort s, t, -3, -1\/6.\nAnswer: -3, -1\/6, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*j**3 + 62 - 300*j + j**3 + 21 + 73 - 219*j**2 = 0. Calculate j.\nAnswer: -13, -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**5*w**3 + 19*b**5*w - 832*b*w**3 wrt b?\nAnswer: 60*b**3*w**3 + 380*b**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -61137.32601 + 35\nAnswer: -61102.32601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/17? (a) -31 (b) -4\/13 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-140)\/(-30)*6\/(-4) + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/7*(-280)\/(-120).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3111\/85 + -37)\/(9\/10440*4)\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 18.3. Let s = q + -1. Let o = 461\/570 - 1\/114. Which is the closest to -0.2? (a) o (b) -5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20*36\/(-19440))\/(15\/18)?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 (base 7) in base 15?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 659, 760, 1023, 1526, 2347?\nAnswer: 3564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 401*j. Let h(g) = 3*g**2. What is r(h(t))?\nAnswer: 1203*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-4)*((-606)\/(-18) + -5). Round w to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/70*(-12)\/(18\/3))\/1?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/5364 and -131\/30.\nAnswer: 26820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*y**3 - 42*y**3 + 12*y**3 + (-4 + 4 + 2*y)*(10*y**2 + 5 - 5) as a*y**3 + b + i*y**2 + c*y and give a.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q*q**2*q*q)*q)**(23\/3)\/(q\/q**(1\/2))**30)**(-49) assuming q is positive.\nAnswer: q**(6713\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 565\/(-2260)*4\/(-76)?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 11:49 PM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 668580 and 1320.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/(-3))\/(-2))\/(2\/(-12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 0 - 1. Let x(d) = 0*d - 4 + 3 + 0*d + d. Calculate x(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34\/123 - 16\/41. What is the nearest to u in 0.6, 1\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 896 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100)\/(-6300) - (-921)\/1512.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -295*f**2 - 16*f. Let a(s) = -6*s. Let y(i) = -3*a(i) + d(i). Let q(b) = -2*b. Determine q(y(p)).\nAnswer: 590*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 q when two letters picked without replacement from seqemq?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-52 + 47)*2\/(-20)*-6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a**2 + 2*a - 6*a**2 - 2*a**2)*(2*a**3 - 2*a + 2*a).\nAnswer: -28*a**5 + 4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -1323, -12 in ascending order.\nAnswer: -1323, -12, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1483\/18 >= 83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 4:35 PM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(5) + -3 + (sqrt(5) - (sqrt(125) + 1))**2 - (1*sqrt(180))\/((sqrt(99) - (-2*sqrt(99) + sqrt(99)))\/sqrt(11)))*-1.\nAnswer: -81 - 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 159072?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3960982001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*w + 7*w**2 - 59 + 11*w.\nAnswer: 7*w**2 - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {w: 2, j: 2, m: 1, t: 1, z: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 - 2*v**3 - 2*v**4)*(-2 + 5 - 4) + (6*v**3 - 3 + 3)*(v + v - v).\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -87917 + 6154233\/70. What is the common denominator of (-2)\/(-4) + 82\/(-30) and x?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**2 + 367*y - 11056. Determine f(38).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132407, -132406, -132405, -132404?\nAnswer: -132403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2479853 divided by 17\nAnswer: 2479853\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (((-1)\/(-1))\/(-28064))\/(-8 + (-5589)\/(-702)) and -85\/36?\nAnswer: 126288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 53 + 3263464.\nAnswer: 3263517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2545462 (base 7) in base 14?\nAnswer: 88832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**3 - p**3 - 3*p**3)*(4 - 4 - 2*p) + 2*p**4 - 1 + 1 + (-9*p**4 + 10*p**4 + 2*p**4)*(0 + 0 + 3).\nAnswer: 13*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 - -29. Let t = 11 + z. Suppose -f + 568000 = -5*f + 4*p, -t*p - 142000 = f. Round f to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**0*p)\/p**0*(p**1*p*p)**(5\/3)*((p\/p**(-6)*p)\/((p**(2\/15)\/p*p*p)\/p))\/(p**(-2)\/(p\/(p*p*p*p**(-3\/2)*p))) assuming p is positive.\nAnswer: p**(461\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5e9 + 223?\nAnswer: 80c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (180\/(-99))\/(-20) - 18\/(-286).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**3 + 8*s**2 - 4*s + 3. Let w be u(5). Let b be (-2)\/5 - w\/30. Let y be b + 2\/(-3)*(-45)\/(-10). Solve -n - 3 = -y*h - 4*n, n - 2 = -2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 739916800 and 8960?\nAnswer: 8960","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -13. Let z(s) = s + 9. Let c be z(f). Suppose c = 2*w + 2*w. Solve w = -2*a - 3*a - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*s - 8*s + 5 - 5 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d**3 + d**2 - 6*d - 4. Let h(n) = n**2 + 2*n + 1. Determine -3*h(z) - r(z).\nAnswer: 3*z**3 - 4*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.00943 rounded to 2 dps?\nAnswer: -1.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, j: 1, w: 1, c: 1, p: 1}. Give prob of sequence pwf.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4*n**2 + 4*n - 1. Let l(c) = 21*c**2 + 19*c - 7. Let p(k) = -11*i(k) + 2*l(k). Give p(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/28 + 65\/(-2). Let y = 21 - w. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -133, -331, -631, -1045?\nAnswer: -1585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/6)\/w**(-6\/13)*(w**4*w)\/(w\/(w\/w**(-13))*w*w) assuming w is positive.\nAnswer: w**(1271\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49978160 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 6*k**3 - 2*k**2 - 4. Let a be 1\/(25\/40) + 4\/10. What is the remainder when c(a) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36366\/7 - 5195. What is the third biggest value in 30, 3, j, 0.4, 2\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 2800 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, 1, 3\/7, -42, 0 in descending order.\nAnswer: 59, 1, 3\/7, 0, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 150 + 344 = 5*z, 5*m = -5*z - 595. Let j = -117 - m. Solve -j*k - o + 12 = -5*o, 3*k = -3*o + 15 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 120.001 - 120. Let t = 1.001 - h. What is the closest to -3 in -0.5, 0.5, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5726651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -345 + 2173. List the prime factors of n.\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -8. Suppose 3*x - x - 40 = r. Suppose -x = -2*i - 3*i. Solve 14 = 5*q - 4*t - 0, -3*q = -i*t - 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 618\/412*544\/30*((-45)\/(-6))\/(-3).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 10 = -6*g. Let w(k) = -k + 1. Suppose 5 = -5*l - 3*t - 2*t, t - 8 = -4*l. Let v(b) = -4*b + 9. Give g*v(z) + l*w(z).\nAnswer: z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/297, -4, -9, 6\/5, 12 in descending order.\nAnswer: 12, 6\/5, 2\/297, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f + 4. Let c(j) = -2*j - 3. Let p(r) = -r**3 - 10*r**2 - r - 1. Let g be p(-10). Suppose -7 = k + n, 5*k - 3*n + g + 2 = 0. Give k*c(l) - 3*o(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8937*o - 8937*o + 15*o**2)*(-3*o + 25*o - 2*o).\nAnswer: 300*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-10) - 111\/(-15). Let z(f) = f**2 - 6*f - 7. Let x be z(i). Suppose 4*n = -x*n + 20. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*f**2 - 9*f + 9*f - 3*f**2 + f**2 + 0*f**2 + (2*f - 3*f + 2*f)*(2*f - 6*f + 3*f) - 6*f**2 + 4*f**2 + 0*f**2 + f**2 - 5*f**2 + f**2.\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -54 + 91 + 873*p + p**2 - 138*p - 37 as v + k*p**2 + c*p and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**3 - 17*s**2 + 7. Let g(o) = o**3 - 8*o**2 + 3. Let k = 2 - 9. Let l(x) = k*g(x) + 3*q(x). Find the third derivative of l(d) wrt d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by 26.\nAnswer: -21\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of r**4 + 1482838*r**3 + 3847477*r**2 - r wrt r?\nAnswer: 24*r + 8897028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -417525, -835015, -1252505?\nAnswer: -1669995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3 + sqrt(171) + 0)**2 - (((-2*sqrt(19) + -2)**2 - sqrt(19) - (sqrt(171) + sqrt(171) + -2 - sqrt(171))) + 2).\nAnswer: 123 + 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-3)*((-78)\/6)\/(-26)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -364 and 10.\nAnswer: -354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 286761, 1147014, 2580763, 4588008, 7168749?\n\"Answer: 286748*v**2 + 9*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*x**2 - 18*x**2 + 18*x**2 + 8*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7387*f*u**2*z**3 - 2235*f*u**2*z**2 + f*u**2*z - 3*f*u*z**2 wrt z.\nAnswer: -44322*f*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204 + 73 = 32*q - 11. Let k(v) = v**2 - 15*v + 58. Calculate k(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p - 376650 = 5*p - 108894. What are the prime factors of p?\nAnswer: 53, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + z, 2*z = 4*q - z. Which is the closest to q? (a) 0 (b) 2\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - -4)\/((-5)\/(-15)). Factor 0 + 0*y + 4\/11*y**f + 2\/11*y**4 + 2\/11*y**2.\nAnswer: 2*y**2*(y + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.91, -13\/2, 0.53?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2. Let u(q) = 5*q**2 - 2*q - 2. Let i(m) = m**2 - m - 1. Let n(t) = 2*i(t) - u(t). Determine k(n(j)).\nAnswer: 9*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 69 + -130. Let o = n + 133. Let l = o - 69. Which is the fourth smallest value? (a) -5 (b) -4 (c) l (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2 + 28*(-56)\/(-64) - -5.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2 + (-2 + 2 + sqrt(1539) - -1*(sqrt(1539)*-3)**2).\nAnswer: 9*sqrt(19) + 13853","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-1\/2)*k))**(-6\/7)*(k**2)**(22\/7))**(-1\/67) assuming k is positive.\nAnswer: k**(-41\/469)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/13 + 1034*r**2\/13 + 8368*r\/13 + 16800\/13.\nAnswer: -2*(r - 525)*(r + 4)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.015 - -0.0159. Round z to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.979 + -0.021. Which is the second smallest value? (a) 3\/2 (b) 1\/2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -10) + (-34)\/(-16)*-2.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 + -35. Calculate the lowest common multiple of i and 33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 878 + -5?\nAnswer: 873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2*(sqrt(684) + 2)**2 + -3.\nAnswer: 48*sqrt(19) + 1368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -18, 5, -7 in ascending order.\nAnswer: -18, -7, -5, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 24 - 21 = 0. Suppose 2*q - 3*q + p = 0. Let o be 60\/225*q\/(-2). Which is the third smallest value? (a) o (b) -3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -24*p + 37. Let g be ((-2)\/((-12)\/3)*0)\/(-2). What are the prime factors of r(g)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b805a (base 15) in base 7?\nAnswer: -4651336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 8 = 100. What is the second biggest value in h, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1686*z + 61 = -1725*z - 56 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -652 divided by 7.\nAnswer: -652\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1205 is divided by 17 + ((-8)\/12)\/(-1)*3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + -0.2. Let v be 3\/38*4\/3. Let w be 12\/(-3)*(-1)\/(-18). Which is the nearest to s? (a) v (b) -0.3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238 + 13660 = 1830*q - 35313 - 675 for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/15 + 67204*p\/5 + 1693641606\/5.\nAnswer: 2*(p + 50403)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44\/9, -5, 58\/5, -154 in descending order.\nAnswer: 58\/5, -44\/9, -5, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17812516 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -358 + 45. Let r = 311 + n. Let k(l) = 4*l**2 + 2*l + 1. Give k(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3272 divided by 818.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1473509.031 rounded to the nearest 100?\nAnswer: -1473500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**3 - 6*i**2 + 5*i - 1. Let j(n) = n**3 - 3*n**2 + 2*n. Let t(q) = -5*j(q) + 2*s(q). What are the prime factors of t(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x. Let g(b) = -2*b. Let z(h) = -2*g(h) - m(h). Let w(p) be the second derivative of -16*p**3\/3 - 3*p. Determine z(w(a)).\nAnswer: -64*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqpxppxppxpxmmnxmx. What is prob of sequence qpnm?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1532*z + 1533*z - 3 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1871*s - 1868*s + 3739*s + 2*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 142165927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2562 smaller than 2563?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5390171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2179, -4357, -6531, -8701?\nAnswer: -10867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1*sqrt(65)*-6 + sqrt(65) - (sqrt(65)*2 - sqrt(65))*-6))\/(-3*sqrt(320) - (sqrt(5) + (sqrt(180) + sqrt(180)*-3 - sqrt(180)))).\nAnswer: -4*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q - 35 - 36 + 75 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.145 + 4.145. Let b = 1 + -0.4. Let u = b + -1.6. What is the third smallest value in u, v, 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -496*r - 120. Give y(-1).\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 10:46 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1132939903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)*-1*-3*5)**2.\nAnswer: 56700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.91 - 30.91. Sort m, 0.4, -0.1 in ascending order.\nAnswer: m, -0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110000000000101 (base 2) to base 7\nAnswer: 131444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.6 + -1.7. Let c = 933\/11 - 85. What is the biggest value in q, 4\/9, c?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8332.1355 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -8*z + 2. Let a be y(-1). What is the third derivative of 13*q**6 + a*q**2 - 7*q**6 + 5*q**2 wrt q?\nAnswer: 720*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 12 (b) 2\/3 (c) 981\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - -2. Suppose -c*b = -3 - 4. What is the smallest common multiple of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -83120 >= -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 14. Suppose -k*h = -h - 15. Let m(b) = 3*b**2 - b + 1. Let w be m(-1). Solve -h*j = w + 15 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {a: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 1331, 67, -1\/8?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 343*230073.9.\nAnswer: 78915347.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 416 + -77. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-2) + (-2 - 20). Let s = 21 + b. Suppose 4*d - 17 + 1 = s. Solve d = 2*n - 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 260 = -4*x - 0*k, 0 = 5*k. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1818*x**3 - 837*x**3 - 873*x**3)*((2*x + 2*x - 3*x)*(3 - 1 + 0) + 0 + 0 - x - 5*x + x + x) in the form o*x**4 + v*x + j*x**3 + m + s*x**2 and give o.\nAnswer: 7056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6303 divided by -617?\nAnswer: 6303\/617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 72181 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1904360681.\nAnswer: 1904360681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 67\/149?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 2*o - 5*v - 19, 5*o = 3*v. Let p(q) = q**2 + 4. Let x(a) = -134*a + 2*a**2 + 73*a + 10 + 60*a + 1. Determine o*x(y) + 8*p(y).\nAnswer: 2*y**2 + 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5*k - 6825 = 0. Suppose -5*p = -k - 1000. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1454 greater than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -22.33021 and 12.\nAnswer: -10.33021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*h - 131 + 459 = 0, -4*d = 5*h - 692. List the prime factors of d.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -93 - -158. Let z be 26\/x + (103\/5 - 2). Is 0 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -11. Let x(s) = -y*s**2 + 12*s**2 - 7*s**2. Let r(c) = -9*c**2. Give x(r(w)).\nAnswer: -162*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-22 + 7 - -8) + 14 + 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18955046?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63366*o - 2*m + 18 = 63362*o, -3*m = -2*o - 19 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24.9 + 25. Let y = 0.9 - 0.5. Which is the third biggest value? (a) z (b) y (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 9*j - 11. Let i be x(-8). Let b(m) = -m**3 - 3*m**2 - 2*m - 2. Let z be b(i). Let y = 5 + -2. Solve k + y*k = z*h + 4, -k - 29 = 5*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jfzjzjzjftzzjjjjsz. Give prob of sequence ffjt.\nAnswer: 1\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 4*w**2 + 13*w + 5. Let r be (1 + 0)\/(-1) + -3 + -5. Is c(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1633, -1586, -1485, -1306, -1025, -618, -61?\n\"Answer: 4*w**3 + 3*w**2 + 10*w - 1650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 4*s**2 + 92*s + 13. Determine g(8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2846527 is divided by 563?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3801026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.52 - -8.39. Let p = 3.17 - g. Let t = 1\/5 - 19\/20. What is the fourth smallest value in 7, t, 0.1, p?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/4 of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/10 and 12\/32032*180 + 6\/21.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((7 - 5) + -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -89 - -99. Suppose -b*z + 514 = 34. Is 12 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.35 + 0.15. What is the closest to 1\/4 in 0.4, a, -0.03?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 + -5674\nAnswer: -5674.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22586 and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/3*r**4 + 8\/3*r**2 + 1\/3*r**5 + 0*r + 0 - 10\/3*r**3 = 0. Calculate r.\nAnswer: -4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 4*d - 4*d**2 + 13\/4*d**4 - 11\/3*d**3 + 7\/5*d**5 - 5\/6*d**6 + 92. Let r(f) = 0. Calculate f.\nAnswer: -1, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 3*u**2 - u**2 + 288 + 430*u - 478*u = 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 15*x - 16. What is the units digit of l(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1705 + -1685. Calculate the remainder when 38 is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8421165 is divided by 890?\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(36)\/(sqrt(24)\/sqrt(2)))**2*3.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + h + 20099998 = 3*h, -i - 6700005 = 5*h. What is i rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2532 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -107*c - 1\/3*c**3 - 110 + 12*c**2. Find the first derivative of v(i) wrt i.\nAnswer: -2*i + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0201 - -0.1118. Round r to three decimal places.\nAnswer: 0.092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**2 + 165. Let h be c(0). Suppose -9*s = -7*s. Suppose s = -g - 62 + h. List the prime factors of g.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -310911*t**3 - t**2 - 506465.\nAnswer: -932733*t**2 - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 z when three letters picked without replacement from {r: 2, g: 1, j: 1, k: 1, f: 2, z: 7}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -139, 14, 87 in ascending order.\nAnswer: -139, 14, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 16*j - 79. Let x be z(13). Suppose -4*n - 3*k + 97 + 12 = 0, 4*n = k + x. Suppose -2*w - t = -19, -2*w + 5*t - n = -4*w. Solve -c - w = c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -369*l + 656 = -410*l for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -1. Suppose a = -0*b - b. Let o be (-6)\/21 + 12\/b. Which is bigger: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-180 - -190) + (3*581\/(-21))\/(-1 - -8).\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 divided by 15.\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -i - 5*g + 25, 3*i + g = 5. Suppose -2 = -3*v + 1. Suppose -2*j = j - p - 20, 0 = 2*j - 5*p - 35. Solve i = -j*x - 4 - v for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3092*w**4 + 133*w**3 - 212316*w**2 - 9*w + 1 wrt w.\nAnswer: -74208*w + 798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 864437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 845079 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/12)\/((-2)\/(3 - -15)). Put x, -1\/6, -2, -1\/8, -2\/15 in decreasing order.\nAnswer: x, -1\/8, -2\/15, -1\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -4. Let s(d) = 1 + d**2 + d - 2*d + 3*d**3 - d**p. Let l be s(1). Solve -l*b - 9 = -0*m + m, m - 15 = 5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-3))\/((315\/(-378))\/(5\/4))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -86, -146, -224, -326, -458, -626, -836?\nAnswer: -1094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18581 - -27834. Calculate the highest common divisor of 19 and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 15. Suppose 0 = -0*k - b*k + 8. Suppose 3*r - 240 = 3*f, 4*r = -k*f + 5*f + 320. What is the highest common divisor of 32 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 5:36 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 12:30 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 100889, 1, -1\/3, -0.3, -1?\nAnswer: 100889","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 411d (base 15) to base 13.\nAnswer: 634c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*x + 4*g - 25, x - 5*g = -4. Suppose 4*d + x + 12 = 5*h, -4*h = d - 31. Suppose a + 3*a = 76. What is the remainder when a is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15069616.\nAnswer: 2, 17, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16714847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 290156908*k**3 + 356817931*k - 1 wrt k.\nAnswer: 1740941448*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27209 and 14534.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 3*l + 48, 0*l + l = -5*v + 254. Let m = 51 - v. Solve b = -m*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(171) + sqrt(171) + 3*sqrt(171)*-1 + 3*-1*sqrt(171) + -4*((sqrt(171) - (0 + sqrt(171))) + -1 + sqrt(171)))*6)**2.\nAnswer: -248832*sqrt(19) + 14204160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**2\/7 - 1320*y\/7 + 1318\/7 = 0. What is y?\nAnswer: 1, 659","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5200 + 2?\nAnswer: 5202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 2*v - 4. Let m = 18 - 21. What is u(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -198.94 + 198.54. What is the third biggest value in 4.3, k, -0.057?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -4. Suppose 0 = -x*p + 7 - 17. Which is the smallest value? (a) p (b) -4 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(336)\/(3*sqrt(6)))\/sqrt(8))**2.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(171) - 5*(1*sqrt(171) - sqrt(171) - sqrt(171) - sqrt(171)))\/(sqrt(9) - sqrt(81)\/(sqrt(9) + 1*sqrt(9))).\nAnswer: 2 + 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2347*c - 42 = -2344*c for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 2) + (-4)\/(-2). Suppose x*j = -4*o - 8, -4*j - 16 = -0. Let h be 9*(-1 - (-35)\/30). What is the smallest value in h, o, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, -13, 0, 277?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, z: 4, c: 1, a: 7, t: 1}. What is prob of picking 1 q, 1 c, and 1 a?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 63979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-1 + -1*sqrt(405)*-3 - ((sqrt(405) - 6*(sqrt(405) + -2)) + (sqrt(405) - -2*sqrt(405)*3 - sqrt(405)))**2) + 1).\nAnswer: 189*sqrt(5) + 549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 576 and 10176.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0307612257 to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (51\/(-34))\/((-3)\/(-31888)*-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-2))\/((-12)\/(-40)). Suppose 0 = p*o - 9 - 1. Suppose f + 3*u + 2 = 4, -3*u = 4*f - 17. What is the remainder when f is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100 - -11010010101111?\nAnswer: 11010010111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*j**2 + 48*j**2 + 33*j - 2*j**4 - 3150 + 3148 to v + q*j**2 + z*j + y*j**4 + m*j**3 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-1) - 18\/(-2) - 0. What is the third derivative of -25*s**6 - 43*s - n*s**2 + 43*s wrt s?\nAnswer: -3000*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/22783 and -56\/5.\nAnswer: 113915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 3*a + 1 - 18, -5*q = 5*a - 15. Let l be (15\/(-2))\/((-3)\/q). Suppose 5*j - 200 = 5*s, j + l - 53 = 4*s. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 211 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -153124, -303871, -454620, -605371, -756124?\n\"Answer: -c**2 - 150744*c - 2379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1303 + 156 = -4*w - n, 2*n = w - 280. Is w even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32457\/25 + 1298. Let f = 71\/75 + l. Factor -4\/9 + 0*d**2 - f*d + 2\/9*d**3.\nAnswer: 2*(d - 2)*(d + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 6:36 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -13.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.3, -2, -0.8, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5505 and 50.\nAnswer: 55050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l**2 + 107*l + 7*l**2 + 4*l - 111*l.\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.451956m in centimeters?\nAnswer: 45.1956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1913 - 7653. Round r to the nearest 100.\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ybbyibyibbij. Give prob of sequence jbi.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5*t + 46 = -9, -4*h - 2*t = -46. Suppose -4*p = 6*p - 10. Calculate the least common multiple of (p - (-11)\/(-3))\/(2\/(-12)) and h.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -68 (b) -2\/3 (c) 5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 3229737?\nAnswer: 12918948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k**4 - 2*k**3 + 12*k**2 - 14*k + 14. Let b(v) = -12*v**4 - 5*v**3 + 36*v**2 - 43*v + 41. Let j(h) = 6*b(h) - 17*p(h). Factor j(c).\nAnswer: -4*(c - 1)**3*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4738057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 168 and 216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1283074 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8876 is divided by 806.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2947 greater than 2947?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + -3 - ((-6)\/1 - 0). Suppose t*x - 18 = -0*z - z, -2*x = 3*z - 15. Let h be (-1 + (-3)\/(-2))*8. Solve -2*o = x*j - 5, -h*o + j = o - 21 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1943242*j**6 - 28*j**2 - 9061*j wrt j.\nAnswer: -233189040*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/33683, 0.3, 2\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 4*q + 160, 5*g + q - 447 = 416. Does 31 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102510 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: Simplify -1 + (sqrt(121)\/(sqrt(22)\/sqrt(2)) + -1)**2 + -4.\nAnswer: -2*sqrt(11) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110, -216, -322, -428, -534?\nAnswer: -640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 + -27. Is t a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -10103*x. Let z(f) = -f**2. What is y(z(g))?\nAnswer: 10103*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36 + 53. Suppose 0 = 3*q - 12, -2*u - 18*q = -s*q - 400. Is 32 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.872 and 0.006709.\nAnswer: -0.032686248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 3. Suppose 0 = -u - 4*h - 0*h - 11, h + 2 = 0. Let w = -1 + u. What is f(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -259 (base 11) in base 9?\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20480 and 80.\nAnswer: 20480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 1925 = -3*y, -5*y + 9 = -5*n + 2389. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -46638469.\nAnswer: 4663846.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 1.6. Let v = r - -1. Suppose -12*z = -4*z + 8. What is the third biggest value in v, -0.5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57136807*w**2 + 2*w - 2*w.\nAnswer: -57136807*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9282365*d**3*v**3 - 538*d**2*v**3 - d**2 - 11*d*v**3 - 4*d*v + 8*v**2 wrt d.\nAnswer: -55694190*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 253 = 238. Suppose -v*t + 5*m = -1895, 5*t - 4*t - 2*m - 376 = 0. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 984513.98 to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 10 = 0, 0 = 4*i - 0*t - 3*t - 34. Let f = -22 + i. Is -15 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 + (-158 + 145 - (-3 - 0)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 + 166. Suppose -4*a = -2*c + 76, 3*a + u = 3*c + 10. Suppose 3*p - c = p. Solve -n - p = 4*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 326, 332, 338?\nAnswer: 344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 7 - 4. Let h be (4\/10)\/((-42)\/30). What is the smallest value in -2, n, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -35 in -4, -1, 5, 1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f - 3 = -12*f. Suppose 66 - 18 = 4*a. What is the remainder when a is divided by 0 - (-4 - (2 + f))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5859 (base 10) to base 15\nAnswer: -1b09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.322 to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 108009976 to the power of 1\/3, to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 9:11 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffoffo. Give prob of sequence off.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/10)\/(3\/18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19 times -232?\nAnswer: -44.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is a0 (base 13) in base 9?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162866 is divided by 8143?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2)\/(-2) - -20)*12?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 168241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/67)*u*u\/(u\/(u*u\/(u*u\/(u*u\/u**21)*u)))*u**30*u*u\/u**(-3\/8) assuming u is positive.\nAnswer: u**(7153\/536)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0139843 rounded to 4 decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z**4 + 2*z**2 + 2*z - 1. Let u(p) = 10*p**4 + p**3 + 7*p**2 + 6*p - 3. Let a(o) = -7*s(o) + 2*u(o). What is t in a(t) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 5*v + 5 = 0, 4*d - 4*v + 2816 - 2836 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*y - 3*y + 1, 4*y - 3*f = 8. Let t = 5807 + -5803. Solve l = t*s - 0*s, y*s = 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 6, -3\/2, 0.2, 0.05?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 15*p + 5 = 20*p, -p = -1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/8 + 15\/12 + -5. Let h be 2\/r*-2*8. Suppose 0 = 2*a - h*a. Solve p - 1 = -4*b + 4*p, a = b + 2*p + 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 8. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 10*n. Let a(g) = -121*g**2 + 10*g - 20. Let d(s) = 120*s**2 - 8*s + 16. Let k(j) = -4*a(j) - 5*d(j). Determine x(k(p)).\nAnswer: -1160*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 2493828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.061 + 437471.7.\nAnswer: 437471.761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25423*x**3 - 10*x**2 - 2*x + 18?\nAnswer: -152538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -622, 5, -5\/4, 1\/7 in descending order.\nAnswer: 5, 1, 1\/7, -5\/4, -622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**3\/11 + 1268*b**2\/11 - 48440*b + 4061904 = 0. Calculate b.\nAnswer: -942, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/675 and 113\/62631000.\nAnswer: 187893000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-15)\/(-20))\/(0 + -1 - -4). What is the nearest to m in -0.1, -0.3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44 + 67. Suppose 3*p - 5*h = 69, w = p + h - 5*h. Does 22 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -45034.6.\nAnswer: -45034.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-1100))\/(43\/6235*-29)*(-5)\/6.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 + 0*c**2 - 1\/3*c**5 + 0 - 2\/3*c**3 + 0*c.\nAnswer: -c**3*(c - 2)*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 5*k = -62, -4*r - 4*k + 121 - 177 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -963680855+0.1663\nAnswer: -963680854.8337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -657, -1280, -1893, -2490, -3065, -3612?\nAnswer: -4125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + -1)**2 - (-1 + (4 + sqrt(2))**2)) + (-6*(1 + sqrt(160)\/sqrt(5)))**2.\nAnswer: 268*sqrt(2) + 1244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 6:03 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qcmmxqmqmcjqmqmx. What is prob of picking 1 m and 3 q?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9aa4 + 4?\nAnswer: 9aa8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7161 divided by 7161?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 46*k + 122. Give h(43).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, 22, 0.5, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -214508874 divided by -107254437?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/10 + 3)*4. What is the common denominator of -59\/6 and 4 - (-212)\/(-256)*f?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -609415 from 0.5.\nAnswer: 609415.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(7) + 0 + 5 + -4)*5)**2 + 4.\nAnswer: 50*sqrt(7) + 206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*f**5 + f**3 + 165*f**2.\nAnswer: 600*f**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 8*s**2 + 10*s + 4. Let l be y(-9). Let p(f) = -f**2 - 6*f - 4. Let v be p(l). Sort v, -4, -5, 2 in decreasing order.\nAnswer: 2, v, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4192, 8385, 12578?\n\"Answer: 4193*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 (base 9) in base 2?\nAnswer: -1000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 10203033421?\nAnswer: 10203033431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 0*g**5 + 0*g**6 - 2 + 1\/6*g**4 + 0*g**3 + 9\/2*g**2 + g - 83\/21*g**7. What is the third derivative of k(p) wrt p?\nAnswer: -9960*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -3. What is z in -6*z**3 + k*z**3 + 0*z**4 - 9*z**3 - 2*z**4 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1045, 1147, 307, -1481, -4223, -7925, -12593, -18233?\nAnswer: -24851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, f: 2}. Give prob of sequence ffs.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -12. Suppose -5*n = x - 71, -u*n + 31 = 2*x - 36. Calculate the common denominator of n\/(-175)*(1 - (-197)\/(-2)) and -52\/9.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 115)*(-12 - -11). Let v = i - -71. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*d**3 + 14*d**2 - 14*d**2.\nAnswer: 15*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2122 + 220?\nAnswer: -1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*n = 88*n - 81784. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 352\/(-528)*(-3)\/28*-2\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*d - 0. Which is bigger: d or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 312*j + 5 + 288*j - 3 - 669*j as f*j + b and give f.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2*p + 4)*(p + p**2 - p) + 20825*p**2 - 278*p**3 - 10423*p**2 - 10400*p**2 - 22 to d*p**3 + m + j*p**2 + s*p and give m.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -3674.92 and -256212.72.\nAnswer: -259887.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - u + 2958 = 0. Suppose -7*s - u = -9*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -851112*d**3 + 217781*d**2 - 4*d wrt d.\nAnswer: -5106672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -41892.971 times 0.1\nAnswer: -4189.2971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 483 and 210?\nAnswer: 4830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22402627\/594 - 37715. Find the common denominator of v and -95\/54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*w = 4*l - 1, l - 4*w - 7 = 0. Let q = 0.055 - 0.555. Which is the third biggest value? (a) l (b) q (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 4*v + 17. Let g be f(-6). Sort g, -1, 29 in descending order.\nAnswer: 29, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 111*f*m**2 + 70450*f*m + 474862431*f + 3*m**2 - m wrt m?\nAnswer: 222*f*m + 70450*f + 6*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + 2*z**2 + z**2)*(-5 + 5 + 13*z)*(-46 + 9*z - 11*z - 53).\nAnswer: -26*z**4 - 1287*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11370, 11383, 11418, 11487, 11602, 11775, 12018, 12343?\nAnswer: 12762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42766, -86475, -130178, -173869, -217542, -261191, -304810?\nAnswer: -348393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47852 is divided by 83.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 j when three letters picked without replacement from {f: 3, j: 3}?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11)\/(-5) + (-6)\/30. Let k be (x - 1)\/(8\/(-8)). What are the prime factors of k - -41 - (-1 + 20\/5)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c - 1 - 17. Is (c\/(-15)*1)\/(50\/265250) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 x when two letters picked without replacement from auaapxaxa?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -443901, -887802, -1331691, -1775562, -2219409, -2663226, -3107007?\nAnswer: -3550746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 535169889.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -91536.67 * 1\nAnswer: -91536.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67 + 68. Let s be 4\/(4\/4 + q) + 0. Let n = -1.2 - 2.8. Which is the nearest to s? (a) -0.4 (b) n (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 55342256 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x + 4*g - 45, 4*g + 8 - 59 = 5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18.17 - 14. Let d = -4.170239 + q. What is d rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 10*j**2 + 8. Calculate the lowest common multiple of q(-10) and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 9650250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) - (5 + 0 + sqrt(684))) + (-4*(sqrt(19) - 5*sqrt(76)\/sqrt(4)))**2 + (1*sqrt(3648) + sqrt(3648))\/(sqrt(6)\/(sqrt(2)*-2))*-3.\nAnswer: 96*sqrt(19) + 4859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 9*j - 4. Let g(x) be the first derivative of -x**3\/3 - x**2\/2 - x - 1. Let v be g(j). Which is the closest to v? (a) -5 (b) 0 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*v - 23, v - 9 = -2*v. Suppose 0 = -k*s + 1354 + 337. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 769*s**2 - 2158*s - 28. Let i(y) = -512*y**2 + 1439*y + 20. Let x(b) = -7*i(b) - 5*l(b). Find the second derivative of x(w) wrt w.\nAnswer: -522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 2\/3)*-57. What is the highest common divisor of 38 and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (72\/(-126))\/((-513)\/36*(-72)\/3402*6)\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 154587588 - -0.0062.\nAnswer: 154587588.0062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/18*3*0*(-50)\/(-5300).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -30, 0, -43, -2\/9 in decreasing order.\nAnswer: 0, -2\/9, -1, -30, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*r - 168, -4*c - 12 - 12 = 0. Let j = -117 + 333. Calculate the highest common factor of j and r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -6*j**2 - 12*j - 4. Let p(r) = -13*r**2 - 27*r - 9. Let x(b) = -9*g(b) + 4*p(b). Let h(y) = -12*y - 18*y + 5*y. Calculate x(h(t)).\nAnswer: 1250*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 147 times -3?\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 62b62 (base 15) to base 11\nAnswer: 1a4237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/(y**(-11)*y))\/y)\/y)\/y)\/(y\/(y*y\/((y\/(y\/y**(2\/9)))\/y))*y) assuming y is positive.\nAnswer: y**(79\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, o: 14}. Give prob of picking 2 l.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 34799 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71.46 - 72.46. Which is the second biggest value? (a) 2 (b) -48 (c) -5\/3 (d) n (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -61263, -80704, -100145, -119586, -139027?\n\"Answer: -19441*n - 41822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 451288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -h - k, 0 = 7*h - 2*h + 2*k - 21. Let r(c) = 2*c - 1. Let v be r(2). Solve -1 = 2*q - v*y, 2*y = -y + h for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**2*x**(1\/4))\/(x**(-2)*x*x**(2\/3)))\/(((((x*x**(-1\/2))\/x)\/x)\/x**(-3))\/(x**0)**(-11)) assuming x is positive.\nAnswer: x**(13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 16*a + 477. Let l(m) = -m**2 + 22*m + 478. Determine -3*l(k) + 4*r(k).\nAnswer: -k**2 - 2*k + 474","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*g**3*i - 1943*g**2*i + 2*g**2 + 1228*g*i + 4 wrt g.\nAnswer: -90*g*i - 3886*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 96 - -3. List the prime factors of z.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(187)*-6 - sqrt(187) - sqrt(187))\/sqrt(11) - sqrt(68)*1*-3.\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 2, p: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1900) - (-4 + sqrt(1900)*-1))*-2.\nAnswer: -240*sqrt(19) - 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -256 and 72251.\nAnswer: 71995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6773, 6772, 6771, 6770, 6769?\n\"Answer: -w + 6774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f + 14. Suppose 9 = -32*p + 29*p. Let m(y) = -y - 5. What is p*j(d) - 8*m(d)?\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 940*b**2*m**2 - 157*b**2*m - 980*b*m**2 - 7299*b*m wrt m?\nAnswer: 1880*b**2 - 1960*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q - 1457. Calculate n(-50).\nAnswer: -1407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*(r\/r**(-6\/5))\/r*r*(r*r**(15\/4))\/r assuming r is positive.\nAnswer: r**(139\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.4011 times 0.020833\nAnswer: 0.0083561163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -7*v**3 - 12*v**2 - 14*v + 5. Calculate the remainder when 2498 is divided by r(-2).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l*l\/(l*(l*l**5*l)\/l))\/(l\/l**(1\/4))*l**(1\/5)\/((l**(-4\/3)\/l)\/l)*(l**(-1))**39*(l*l**1\/l)**(-33) assuming l is positive.\nAnswer: l**(-4333\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18414 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*h - 10 + 2 = -152*h - d + 14, -28*d = -27*d + 3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 7*l + 5. Calculate the remainder when 8 is divided by k(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 + 2*m**2 - 5*m**2)*(5*m**3 - 3*m**3 - 4*m**3) + (2 - m**3 + 0*m**2 + 0*m**2)*(m + 4 - 4)*(-6*m + 2*m + 2*m)*(-159 - 40 - 43).\nAnswer: -482*m**5 + 968*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -164*d**3*u**2*x - 3*d**3*x - 4*d**3 - 3848*d**2*x - 144787*u**2 + 35*x wrt u.\nAnswer: -328*d**3*u*x - 289574*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*w, -h + 36 = -5*w + 3*h. Let l = w + 21. Calculate the remainder when 45 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1c (base 13) to base 10\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 11233141?\nAnswer: -11233140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1172 or -21?\nAnswer: 1172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -8 + 3 + 5 + -1. Let x(h) = -9*h**3 - h - 1. Give x(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 85, 71, -21, -185, -415, -705?\n\"Answer: r**3 - 45*r**2 + 114*r + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/35, -5, 3, -1758 in ascending order.\nAnswer: -1758, -5, 2\/35, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 160*f*h**2*u**2 + 6*f*u**6 + 2*f*u**4 + 55*h**2*u**3 - h**2 - 2*h*u**2 wrt u.\nAnswer: 720*f*u**3 + 48*f*u + 330*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*h - 25 = -6*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29451 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 5*a**3 + a**2 + 16*a - 16. Find the second derivative of q(l) wrt l.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1875 and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3)*(-9487 + 9487 + 162*o + 2*o + 0*o - o + (-o - 2 + 2)*(-5 + 0 + 4)).\nAnswer: -328*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.71 + 8.51. Put -1\/3, 0, q in increasing order.\nAnswer: -1\/3, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*i - 8*i + 3 - 6 + 3 + 287*i**2 to the form v*i + t*i**2 + l and give t.\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 39153469 a multiple of 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 157249852 or 157249853?\nAnswer: 157249852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -7) + -5 - -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.605 and 4009.\nAnswer: 4008.395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14035439.7 seconds in days?\nAnswer: 162.44721875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2761163314 to the nearest integer?\nAnswer: 52547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001100 (base 3) in base 11?\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32308 is divided by 143?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 2\/11, 0.163, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6803624 and -15.\nAnswer: -10.205436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5916.24354 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 7*m + 105. Let q be y(-15). Which is the second biggest value? (a) 2\/9 (b) 21 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1775 and 26923555.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -88 - -205. Suppose -114*a = -i*a + 1008. Does 16 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 375 times -0.2?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1771, 3460, 5125, 6754, 8335, 9856, 11305?\nAnswer: 12670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 11 = 51. What is the remainder when 23 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.07 + -0.13. Let z be ((-2)\/6)\/((-2)\/(-6)). Let i = 5 + -4. What is the biggest value in z, q, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12, 85, 212, 393, 628?\n\"Answer: 27*q**2 - 8*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3509221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2*p - 2*k, -352 = -4*p - 39*k - 188 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x + 3*x - x + 6*x.\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25697 divided by -107.\nAnswer: 25697\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -176 (base 11) to base 14\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 161 + -159. Sort -3, -1, w in increasing order.\nAnswer: -3, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15*(6\/2)\/(-9). Let q = w - -6. Which is smaller: 4\/7 or q?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1368 and 10.\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 5 = -5*z, 3*j = 4*z - 33 + 2 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2088613 to the power of 1\/2, to the nearest integer?\nAnswer: 1445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence it when two letters picked without replacement from {s: 2, u: 1, i: 2, t: 1, a: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 876144 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*k = -79*k + 36 + 335 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -909200, -1818392, -2727546, -3636644, -4545668, -5454600, -6363422, -7272116?\n\"Answer: 3*o**3 + o**2 - 909216*o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -124*y. Let j(o) = 415*o**2 - 545. Calculate j(t(m)).\nAnswer: 6381040*m**2 - 545","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13092846, -26185690, -39278534?\nAnswer: -52371378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a tonne in kilograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**5*h))\/h*h**2)\/(h\/h**1*h)**19*(h**(-5)\/(h\/(h**(-2\/15)*h)))**37 assuming h is positive.\nAnswer: h**(-3194\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(-4))\/((-21)\/924). Let z = b + 19. Let s = -13 - z. Solve 0*h = -h + s for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 24188, 24148, 24124, 24116?\n\"Answer: 8*s**2 - 64*s + 24244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 1 = -2*x - 0*v, 4*x = 2*v - 14 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1121 - -1122. Which is the fourth biggest value? (a) -1\/6 (b) g (c) -0.9 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 17 + 16)*(251 - 251 + 26*c)*(-2*c**3 + c**3 + 3*c**3).\nAnswer: 624*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/5 + 47084*c**2\/5 + 263524*c + 2446912\/5.\nAnswer: (c + 2)*(c + 26)*(c + 47056)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*l + p - 6, -4*l = -5*p - 13. Let v = -7 - -7. Suppose v = -0*q + 3*q. Solve i = -q*i + l for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 8 - (-1 + -1 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 29*s**3 - 78*s**2 - 9*s + 5. Give w(-3).\nAnswer: -1453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -27\/16*f**2 + 25 - 1\/8*f**3 + 15\/4*f. Factor v(l).\nAnswer: -3*(l - 1)*(l + 10)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11520 a multiple of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2428959083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 55 = -w. Let j = -6 + w. Solve 4*n + j*s - 21 = 0, 6 = 2*n + 3*s - 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -2 (b) 10 (c) -95572 (d) 3 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**4\/5 + 4*k**3 = 0. Calculate k.\nAnswer: 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*d - 16*d + 15*d - d**2 + 195*d**4 + 21*d - 3 - 156*d wrt d?\nAnswer: 2340*d**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 432252.\nAnswer: -172900.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -100110001111000110110 (base 2) to base 10\nAnswer: -1252918","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24168 is divided by 213.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - -21)\/6*4\/3. Let b = 28 - v. What is the highest common factor of b and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (89\/(-3))\/(1 - (-12)\/(-9)) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3668 - 18.934037?\nAnswer: -18.567237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 + 50256*r + 631416384.\nAnswer: (r + 25128)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 6 + 232 + 7. Calculate the remainder when 816 is divided by ((-42)\/5)\/((-98)\/k).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 20*x + 17. Give a(-15).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -392 + 198 + 195 + 7599*f + 1921*f to t + u*f and give u.\nAnswer: 9520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 9:50 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a week in hours?\nAnswer: 1764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2860 - -2837. Which is smaller: -71\/3 or t?\nAnswer: -71\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2235*v + 2231*v + 32 + 2. Let f be d(8). Suppose 261 = f*y + 3*o, -5*y + 5*o = -2*y - 382. What are the prime factors of y?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 2*u + 2*u + 476, -3*u = k + 347. Let l = 122 + u. Let n = -14 - -29. What is the remainder when n is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (72\/(-30))\/3 - 222\/10. Let o = g + 119. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -262, 5, 2145 in increasing order.\nAnswer: -262, 1, 5, 2145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*v. Suppose v = -4*s - 5*o + 95, -4*s - o = -5*o - 68. Solve -s = -m + 5*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 652462616.\nAnswer: 2, 13, 67, 93637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(5\/8)\/(r*r\/(r**(-21)\/r)) assuming r is positive.\nAnswer: r**(-187\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 704 = 4*j + 22*j. Solve -6*w + c = -3*w + 14, j = 4*c for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of 501*t**8\/112 + t**4\/12 - 421*t**3\/3 + 3*t**2 - 249*t. Find the second derivative of u(p) wrt p.\nAnswer: 30060*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 4) + (-43 - -2). Suppose -w - 4*o + 198 = -0*o, 3*o = -4*w + 831. Suppose 7*m - 5*r = 12*m + w, -3*m = 2*r + 128. Is m less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5529376 and 268?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) + (sqrt(228) - (sqrt(228) + sqrt(228)*-2 + sqrt(228))*2))\/sqrt(4))\/(6*(-2*(sqrt(21)\/sqrt(7) - sqrt(3)) + sqrt(3))).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1231301 (base 5) to base 14\nAnswer: -8a2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2750\/15 - (-2)\/(-6). Let q = j - 121. Let t = -96 - -127. Calculate the greatest common factor of q and t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252467.8 kilometers in nanometers?\nAnswer: 252467800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5032 (base 14) to base 8.\nAnswer: 32704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1712859 at most -1712859?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 4 - ((-150)\/(-10) - 6). What is the closest to 9 in 4, -3, 0.5, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -5, 3, 4\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -253 + 16313?\nAnswer: 16030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69*i**3*z**3 + 3*i**3*z**2 - 5*i**2 + 8*i*z**5 + i*z**2 + 2*i*z - 851*z**2 wrt z.\nAnswer: 414*i**3 + 480*i*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9107429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + a = -114 + 12, w - a + 30 = 0. Is (22\/w)\/((-2)\/6459) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6339 by 3782.\nAnswer: -6339\/3782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/4))**(-13\/4)*f**(-1\/2)*f**7*f assuming f is positive.\nAnswer: f**(107\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**4 - 191 + 191 - 3*n**2 - 4*n**4 - n**3 in the form f + x*n + v*n**3 + m*n**4 + b*n**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -177 - -1235\/7. What is the nearest to 1 in 2, j, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 418, -11, 26, -5 in increasing order.\nAnswer: -12, -11, -5, 26, 418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 384 - 404.3. Let k = -20 - h. What is the smallest value in 5, 0.2, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2\/3*u**2 - 2\/9 - 2\/3*u - 2\/9*u**3 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 600 by -200.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5449, -5457, -5469, -5485, -5505, -5529, -5557?\n\"Answer: -2*y**2 - 2*y - 5445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -5 - 6*v**2 + 16 - 11*v + v**2. Let u(k) = k**2 + 2*k - 2. Let a = 31 + -18. Let c = 7 - a. Determine c*t(h) - 33*u(h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -d842 (base 15) to base 3\nAnswer: -2022201222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.16 * 11.4\nAnswer: -1.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 596 - 459. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -397 + 199. Calculate the greatest common divisor of n and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2751 - 59*a - 43*a + 116*a - 2749.\nAnswer: 14*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2.874675023+0.4\nAnswer: -2.474675023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/15)*r*((r\/(r**(14\/3)\/r)*r)\/r)\/r*r)\/(r*r**(-26))**(-25) assuming r is positive.\nAnswer: r**(-3134\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3)\/v**(2\/9))\/(v**(-2\/15)\/(v\/v**(3\/5)*v)) assuming v is positive.\nAnswer: v**(-76\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + sqrt(304) + 1 + sqrt(304))**2*1 - (sqrt(304) + -1*sqrt(304) + -1).\nAnswer: 24*sqrt(19) + 2738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -675*g + 153*g - 21402 for g.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -10*k**2 + 2468*k - 28176. What is r(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 931 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f + 2*f + 2 + f)*(-158*f - 34*f - 92*f) in the form v*f + z*f**2 + l and give z.\nAnswer: -568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*h - 13 + 12 - 3*h + 2*h - 4*h - 53*h**3 to the form x*h**2 + c*h + j*h**3 + z and give j.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 7866 - 2507 = 0. Let q = c + -655. Does 32 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-91)\/(14\/16 + (-65877)\/276056)?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 7155 = 7170. Solve o*x + 4*p = -4, 2 = -x - 17*p + 15*p for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -6*i - 142. What is the remainder when s(-28) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000305 rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*f = -44 - 37 - 2285 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -537*g**2 + 218*g**2 - 47*g**2. Let n(q) = q**2. Determine n(t(l)).\nAnswer: 133956*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-15))\/d*d\/(d*d*d**(2\/41)) assuming d is positive.\nAnswer: d**(572\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 14*v**3 + 7*v - 8. What is the units digit of d(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x - 13*x + 130 = 0. Solve -2*i = -3*h, -x*i - h = -0*h for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(588) + sqrt(588) + -2*sqrt(588)*1)\/(-4*(sqrt(24)\/(sqrt(3)*2))\/sqrt(2)).\nAnswer: 21*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = -2*i. What is the units digit of (i + -5)\/((-2)\/8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/10386 and -89\/8655.\nAnswer: 51930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 8:40 AM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, t: 1, d: 3, s: 3, j: 1, x: 3}. What is prob of sequence xts?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 n when two letters picked without replacement from {v: 5, n: 2, d: 5, x: 5}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(12) + sqrt(48)\/sqrt(4)*4).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -18, -3, 22, 57, 102?\n\"Answer: 5*r**2 - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -u - 4*h - 8, -4 = 2*u + 2*h. Solve 4*o - 3*z - 17 = -o, u = -3*z + 3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*i = -29*i - 154 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9031807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7318396 meters to centimeters.\nAnswer: 73.18396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 1355 - 274 = w, c - 5*w - 265 = 0. Let f be 2\/16 + 316\/32. What is the greatest common factor of c and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16.2976 + -0.7024. Let j = 1 - -1. Let o = 1 - j. Which is the smallest value? (a) -5 (b) o (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -163*m**3*t**3 - 6*m**3*t**2 + 7*m**3 - 6*m**2*q*t - m**2*q - m**2*t**2 - 135*m*q*t**4 - m*q*t**3 - 17*q*t wrt t?\nAnswer: -978*m**3 - 3240*m*q*t - 6*m*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364702.\nAnswer: 2, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 6*s**5 + 141838*s**4 - 472860*s**3 + 20*s**2 + 472854*s - 141858 = 0.\nAnswer: -23643, -1, 1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.49 or 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 10*u - 245 = 0. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -79083.5 and -1.37.\nAnswer: 108344.395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -18*b + 11931. What is the ten thousands digit of u(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63714 divided by 518.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 77*p = 80*p - 1, 4*c = -2*p - 26 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227369 = -55*i + 291281. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 94*n - 1716. Calculate i(25).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 843 = 3*r, 2*a - 913 = -5*r + 506. What are the prime factors of r?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*j - j - 1608 - 1563 - 11*j.\nAnswer: -2*j - 3171","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9730668 to the nearest integer?\nAnswer: 3119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 720 and 1665.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -862 - -856. What is the tens digit of (-2*g\/(-4))\/((-6)\/1082)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.477*-4.\nAnswer: -1.908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 13*x**2 + 16. What is the remainder when 95 is divided by y(-13)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0666055 rounded to 4 decimal places?\nAnswer: -0.0666","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**2 - 28 + 28 - 147*x + 147*x.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*6*(-3 + sqrt(1216) + (sqrt(1216) - (1 + sqrt(1216) + sqrt(1216) - sqrt(1216)))) + (sqrt(114)\/sqrt(2)*-2)\/sqrt(3)*4*1)**2.\nAnswer: -19584*sqrt(19) + 356608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r = 1005 + 399. Let v = r + -50. What is the remainder when 222 is divided by v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1535 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-3))\/(((-224)\/63)\/(-16)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3 - 1725*c**2 - 5154*c - 3432.\nAnswer: -3*(c + 1)*(c + 2)*(c + 572)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*k**2 + 7*k**2 + k**2)*(4 - 2 - 3) + 218*k**2 + 312*k**2 - 111*k**2 to s*k**2 + c + n*k and give s.\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 6 = -3*i, 4*i - 2*v + 0 = 4. What is the third derivative of i*t**4 - 4*t**3 + 4*t**3 - 4*t**2 + t**4 wrt t?\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177885*x**3 - 10 + 177817*x**3 + 10.\nAnswer: -68*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17643156?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 = -5*r - l, -4*r + 2*l + 41 = -3*r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 766*d - 40166. What is y(49)?\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -315*f + 8505. Determine q(25).\nAnswer: 630","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 16. Let s = 14 - w. Suppose -s*o = 2*o - 10696. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113 divided by -48.\nAnswer: -113\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by 56.\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10141*i*j**4 - i*j - 854*i + 709*j**4 + 376*j + 4 wrt j?\nAnswer: -121692*i*j**2 + 8508*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 57*x**2 + x + 42. Let r(p) = 170*p**2 + 3*p + 138. What is -10*c(g) + 3*r(g)?\nAnswer: -60*g**2 - g - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -301444030 (base 5) to base 14.\nAnswer: -2345b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4*f + 5. Let b = 27289 - 27283. Let l(r) = -r**3 - 5*r**2 + 5*r - 7. Let k be l(-6). Let v(c) = c + 1. What is b*v(t) + k*s(t)?\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -8*r**3 - 8*r**2. Let m(u) = -7*u**2 - 7*u**3 - 3*u**2 + 2*u**2. Let d(f) = 5*m(f) - 4*t(f). Find the third derivative of d(n) wrt n.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -0*n + 8. Let z be ((-3)\/9)\/(n\/(-24)). Let -14*q**2 - 2*q - 39*q**4 + 13*q**z - 8*q**5 + q**3 - 31*q**3 = 0. Calculate q.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.04 - -0.54. Let k = -73 - -15. Let q = k - -63. Put -14, t, q in descending order.\nAnswer: q, t, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, r: 3}. Give prob of sequence rkk.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*q - 4*q + 3*q)*(q - 2*q + 3*q) + 0*q**2 - q**2 + 2*q**2)*(15 + 25 - 14).\nAnswer: 78*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-nine halves of a tonne in kilograms?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n. Let z(h) = 14*h - 6*h - 4*h + 2*h + 3. Give -9*q(s) + z(s).\nAnswer: -3*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 9*x + 7. Suppose 0 = 5*s - 2*m + 7*m - 5, 4*s = -5*m + 8. Let t(h) = -3*h + 3. Calculate the remainder when t(s) is divided by r(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 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 i = -4 - -7. Suppose -i*v + 20 = x, -24*v - 3*x = -22*v - 25. Put -0.003, 2\/7, v, -0.1 in decreasing order.\nAnswer: v, 2\/7, -0.003, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6328 + -10 - (-4 + 5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 m when two letters picked without replacement from {y: 8, z: 3, m: 2, j: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -248664 divided by -6\nAnswer: 41444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 730, 1460, 2192, 2926, 3662?\nAnswer: 4400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + -13 + 8 + -2 + 1.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 504, 517, 546, 597, 676, 789, 942?\nAnswer: 1141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 114 and 1096.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1753398166 divided by -6214?\nAnswer: 282169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7 - -7)\/((-2)\/1). Let m be o*-1*5\/(-15). Let u = 38 - 36. Solve -4*a + 5*t - 6*t - 10 = m, 0 = -3*a + 2*t - u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - 1)*(8 + (-10)\/3). Solve -18 = -2*n + u - 7, -u + z = 3*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134145745.\nAnswer: 5, 647, 41467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-12) + (-3 - 9\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.58929 weeks to nanoseconds.\nAnswer: 40878002592000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1982373.21s to days.\nAnswer: 22.944134375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01138148342 to seven dps.\nAnswer: -0.0113815","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 7. Suppose -j*l = -5*l. Suppose l*g - 4*g = -132. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -64*z**7\/735 - 284*z**6\/105 + 501*z**5\/70 - 23*z**4\/6 + 19*z**3\/21 + 1298*z**2 - z + 1. Suppose h(t) = 0. Calculate t.\nAnswer: -19, 1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 8:09 AM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m**2 - 6*m**2 - 10*m**2)*(-29 + 21 - 55)*((-4 + 4 - 3*m)*(4 + 2 - 4) - 2*m + 3 - 3) as c*m + s + v*m**2 + t*m**3 and give t.\nAnswer: -8568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + 27 - (0 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l\/(l\/l**(5\/8)))\/l*l*l)\/l)\/l)**30*((l\/(l*l**9\/l*l))\/l)\/l**(-37) assuming l is positive.\nAnswer: l**(183\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 18 = i, 3*i + 8*f = 3*f - 19. Suppose -6*d = -i*d - x - 44, -5*d + 4*x = -66. Calculate the least common multiple of (12\/10)\/(18\/150) and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/3 - (-80)\/60. Solve 0 = 3*i - 2*i - p for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137 divided by -1350875.\nAnswer: -137\/1350875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.03 + -3.03. Let f = -9 - -14. Let n = -119 - -118.5. Put a, f, n in descending order.\nAnswer: f, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -26\/2965753?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v*v*(v\/(v**(-3)*v))\/v*v*v*v)\/v)\/v*v*v**(-3\/8) assuming v is positive.\nAnswer: v**(53\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 875191.\nAnswer: 29, 103, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -495\/7 + 71. Let u(r) = 8*r - 71. Let w be u(9). Which is the closest to g? (a) w (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*d = 17, 3*s + d + 9 = -3*d. Let z be ((-2)\/(-3))\/(s\/1821). Let m = 1915 - z. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -312404439 or -312404438?\nAnswer: -312404438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*b - 6 = -186. Suppose -5*i = -4*x - b, 4*x + x - 4 = 4*i. Solve 0 + x = -4*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 10:08 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-168))\/((-8)\/(-196))?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 1. Let a be t(4). Suppose 5*l - 25 + a = 0. List the prime factors of l\/(-6) - (-234)\/27.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.83 - 0.27. Let a = 3.1 + f. Let s be (-6 + 7)\/(-1 - 2). What is the biggest value in s, -1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 + -40. Suppose w*b + 3*r = -b, 0 = r. Solve b = 5*s - s - 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 387539122.\nAnswer: 2, 29, 31, 67, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 426840 and 232.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and 0.446?\nAnswer: 0.646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 - 966. Let f(a) be the first derivative of -a**3\/3 + 6267. What is l(f(h))?\nAnswer: 2*h**4 - 966","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 18, -82, -3, 39 in increasing order.\nAnswer: -82, -3, 2, 18, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -6*k + 9*k. Let g(h) = 15*h - 46. Let n(u) = -3*u + 9. Let s(i) = k*g(i) - 11*n(i). Calculate the remainder when s(5) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 + 3 + 2*g)*(-2*g + g - 3*g)*(2 - 3 + 0).\nAnswer: 8*g**2 + 28*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3044 or -3045?\nAnswer: -3045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 8:12 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1733.197 * -0.41\nAnswer: 710.61077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-66)\/15)\/(-11)*(-7)\/((-42)\/5).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.02299973 + 0.023. Round a to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 329 - (-119)\/(2 + 15)*(-8)\/14. What is the highest common divisor of s and 195?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28 - 365*z - 357*z + 727*z + 4*z + z - 3*z - 2*z + 2*z + z + (0 + 2 + 0)*(-4*z + 0*z + 3*z) - 2*z + 2*z + 2*z to the form n + h*z and give n.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1712676912 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 855 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2539, 1, 4\/5, 131\/53?\nAnswer: -0.2539","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -89506, -5, -1, -6 in descending order.\nAnswer: -1, -5, -6, -89506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.541491 * 1.\nAnswer: 6.541491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202975?\nAnswer: 5, 23, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - g + 18. Let x(k) = k**2 - 1. Let w be x(1). Let l be d(w). Calculate the greatest common divisor of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 28. Let l(w) = -w + 9. What is l(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5696 = 37*p + 5918 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 2*f - 273, -6*f + 10*f = -3*m + 267. Let d = 73 + m. Suppose -16*q = -14*q - d. What is q rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -m, 0 = -3*w + 2*m - 3072. Let u(o) = o**3 - o**2 - o - 2076. Let g be u(0). Let k = w + g. Round k to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/1131 and -59\/75?\nAnswer: 28275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 807 and 177.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9\/((-99)\/16)*(15\/12)\/(-5)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*b - 2*b - 606. Let g = 996791 + -32897438\/33. Let p = g + b. Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 98083 + -490414\/5. Factor 32\/5 - 32\/5*m - n*m**3 + 2*m**2.\nAnswer: -(m - 4)**2*(m - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.3 + 0.9. Which is the third smallest value? (a) 1 (b) n (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1296 and 11772?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -70 + 44. Let n = -23 - h. Suppose n*o - 155 = 3*c + 202, -2*o + c = -233. List the prime factors of o.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -96 - ((3 - 7 - -17) + (8 - 22))?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**3 + 1 - 1)*(10 + 1 - 2).\nAnswer: 18*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 45769 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 15 (b) 5\/7 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17\/94 - -2\/141. Suppose 0 = -5*n + n - 12. Which is the closest to 0? (a) v (b) 1\/4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001755378262 to 7 decimal places.\nAnswer: -0.0001755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 60\/7, -238, 0.6, 3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.06291 and -12567561918?\nAnswer: 12567561917.93709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*(-3*sqrt(84)*1 + sqrt(84))\/(sqrt(1452)*-2).\nAnswer: -sqrt(7)\/11 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yrrryryyrrryyyyy. What is prob of sequence ryrr?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 6*q**2 + 53*q + 38. Calculate v(16).\nAnswer: -1674","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50266 is divided by 5026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.02, -7, -2\/39?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48 - -55. Suppose 3*o - 3 = 9. Suppose 0 = -o*v + 7*v - 6. What is the remainder when n is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3136 and 3090752.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 + 3212*i**2 - 201416*i - 857312.\nAnswer: -4*(i - 734)*(i - 73)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 4*q + 0 - 1\/12*q**4 + 7\/2*q**2 + 2\/3*q**3. Give z(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/647088 and 89\/495?\nAnswer: 106769520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-46)\/(-6) - (-4)\/(-6). Suppose 2*n + 5 = j*n. Suppose h - 52 + n = c, 8 = 4*c. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12154, -48631, -109418, -194509, -303898, -437579, -595546, -777793?\nAnswer: -984314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 2641649\nAnswer: 2641649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 0.4658702?\nAnswer: -0.09317404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 105 = -19*u. Let p(r) = -4*r - 5. Give p(u).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - -15 - (2 + 1 + -9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d**3 + 877*d**2 - 214*d - 22620. Calculate o(292).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -652\/2853 - -2\/317. What is the second biggest value in d, 7, -3\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/6 - 1960\/(-24). Suppose l - 3*v - h = 0, l - 5*l + 2*v = -358. Calculate the greatest common factor of 13 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/1*8\/20. Let a = y + 2. Let n = 43 + a. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-2) - 27\/(-6). Suppose k + 10 = n*h, 5*k - 45 = k + 3*h. Solve 2*y - 3*x - x - 6 = 0, y - 5*x = k for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 2:18 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 1. Let i be (g\/3)\/(2\/6). Suppose -2*d + 4*d - 4*y = 110, -i*y - 8 = 0. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/66*-4*-2*(23 + (-4)\/2).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2123313397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s + 6. Suppose 18*y - 25*y - 35 = 0. Let p(f) = -3*f + 7. Calculate y*l(n) + 4*p(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5*t**2. Calculate g(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42120113 + 30442?\nAnswer: -42034121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 less than or equal to 777\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 17\/(2\/(4 + 0)). Suppose 7*x - t = 6*x. List the prime factors of x.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -386076.06 rounded to the nearest ten thousand?\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 9. Let h(v) = v + 4. Let j be h(g). Suppose j*l - q - 1394 = -5*q, 5*l - 3497 = -4*q. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*d - 16*d = 5*d - 28 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + 2 + 3 + -4. What is the third derivative of 2*u**2 - 3*u**2 - b*u**4 - 5*u**2 + u**2 wrt u?\nAnswer: -96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 e when four letters picked without replacement from {h: 6, t: 8, e: 3}.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -226, -16913, -62214, -150439, -295898, -512901?\nAnswer: -815758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q + 14*q + 28*q**3 - 25*q**3.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 133, 0, 621, -2 in increasing order.\nAnswer: -2, 0, 133, 621","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 38725 = -6617. Suppose -4*a - b = -3*l - 44035, a - 24002 = 2*l. Round l to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - 1. Let a be r\/(-2 + 3\/3). Let f be a\/4 + 5\/(-2). Is 1 greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1127 to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.742216 rounded to 1 dp?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -115 + 803\/7. Let g = 101 - 61. Let j = -38 + g. What is the third biggest value in 1, q, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540286 is divided by 12006?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1909\/9 - -643\/3. Which is greater: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 16*d - 7. Let h(n) be the third derivative of 5*n**4\/24 - n**3\/3 - n**2. Let s = 195139 + -195125. Calculate s*h(p) - 4*y(p).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20835 and 580335.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -45, 16\/249 in increasing order.\nAnswer: -45, -5, 16\/249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 689.0903mm?\nAnswer: 0.0006890903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -0.7032.\nAnswer: 0.6032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2978 divided by -1\nAnswer: -2978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3820)\/(-1260) - (-16 + (-7 - -26))?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16436656 divided by 83.\nAnswer: -198032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 7. Let n be (-8)\/f*(1 + 2). What is the first derivative of -1 + n + 2*y**3 - 1 wrt y?\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 10*a**2 - 10*a - 7. Let d be o(-9). Is 31 a factor of 124\/1 + 0\/(3 - d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4145 divided by 5\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 348*t**2 + 8*t + 2. Let m(h) = -5*h**3 - 1741*h**2 - 44*h - 11. Calculate -33*g(n) - 6*m(n).\nAnswer: -3*n**3 - 1038*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/140*10\/4)\/((-231)\/22).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 - 40 = -11*h. Let i be (175\/(-21) + h)*(-21)\/1. Solve i = -4*d + y, -4*d + y - 4 = -3*y for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12150 (base 8) to base 9.\nAnswer: 7144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.135449 rounded to four decimal places?\nAnswer: -0.1354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 17*k**4\/12 - k**2\/2 + 2*k. What are the prime factors of z(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 196 and 13965?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-609)\/(-6) + 11\/22 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (118*k**3 + 460*k - 460*k)*(-68*k - 5*k - 68*k).\nAnswer: -16638*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - ((6 - -5) + (32 - 4) - 8).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 122085 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 2:46 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001125783 to 7 dps.\nAnswer: -0.0011258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 * 2690086.\nAnswer: 29590946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.06 take away 3.67103?\nAnswer: -6.73103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z + z + 3*z - 8*z. Let x(u) = 41*u - 17. What is m(x(v))?\nAnswer: -41*v + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.017 * -279.\nAnswer: -4.743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35730157 is divided by 296?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 65*s**3 + 7*s**2 + 1. Let f(l) = 2120*l**3 - 6351*l**3 + 2047*l**3 - 11*l**2 - 2 + 2087*l**3. Determine 5*f(w) + 8*n(w).\nAnswer: 35*w**3 + w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - 16\/(-40) - (-16)\/(-40). Solve 0 = -3*t - u - 2, -u + 194 - 182 = -o*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 2*k = -3*a + 74, 413286 = -4*a + 8*k + 413438 for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 4:10 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k + 9. Let w be i(-4). Let v = w + -5. Suppose v - 12 = -2*a. What is the least common multiple of 22 and a?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1111221122 - -2122?\nAnswer: -1111212000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17896165 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**2. Let a be 1 + -5 - 3\/6*-2. Let i be 7\/5 + 65\/25 + a. Let p(g) = g**2. What is i*u(c) - 2*p(c)?\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110111011010 - 1001010010?\nAnswer: 110101110001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 198.1 - 174. Round s to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-8\/9)*y**(-12)\/y)\/(y**(-19)*(y\/(y\/(y\/(y**(-4\/5)*y))))\/y) assuming y is positive.\nAnswer: y**(239\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is f (base 16) in base 6?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -i**5\/30 - 13*i**4\/24 - 12*i**2. Find the second derivative of y(n) wrt n.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -11*y + 1184. What is the hundreds digit of m(-71)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -880 + 1b?\nAnswer: -863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -y - y + 70, -4*a = -2*y + 38. Let d = y - 22. Solve -2*r - 8 = -d*g, -4*r - 3*g - 16 = g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-27)\/(-6))\/(-3)*-4. Let b(c) = -2*c + 2*c - d*c + 0*c. Let y(p) = 6*p. What is b(y(l))?\nAnswer: -36*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -12741 * -30\nAnswer: 382230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1107915, -1107394, -1105975, -1103208, -1098643, -1091830?\n\"Answer: 75*a**3 - a**2 - a - 1107988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*z**3 - 29065*z**2 + 5*z + 118369.\nAnswer: 18*z - 58130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3474584750?\nAnswer: 2, 5, 7, 13, 152729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of f**5\/10 + 5*f**4\/24 + f**3\/3 - 7*f. Let s(x) be the second derivative of u(x). Is s(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 132 and 1805716.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/12 + (-122)\/(-8). Let g = -7 + b. Is 9 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 y when four letters picked without replacement from kyyyykk?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 785594 is divided by 14028.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3013220121 + 11?\nAnswer: -3013220110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.227 and -786625.\nAnswer: -786626.227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -5*c. What is p(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1383 = 724*f - 1185*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*t + 5*z - 38 = -65*t, 3*z - 12 = -3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 64331580 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2418, 8234, 17564, 30408, 46766?\nAnswer: 66638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.032596944457 to four dps.\nAnswer: -0.0326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -25, 369, 4 in decreasing order.\nAnswer: 369, 4, -1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37452 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 42846 divided by 222\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 51, 693, 2369, 5577, 10815, 18581, 29373?\n\"Answer: 83*m**3 + 19*m**2 + 4*m - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/100*5*(-6 - -2). Find the second derivative of 3892 - 3892 - 216*j**x + 12*j - 217*j wrt j.\nAnswer: -432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -271, -1130, -2551, -4528, -7055?\nAnswer: -10126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nvmm when four letters picked without replacement from vnnjnmnzvmmnnmz?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-48 - -94) + -15.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200654713.\nAnswer: 7, 28664959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 598420*y**2 + 103271 with respect to y.\nAnswer: 1196840*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5191 - 1988. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 319 divide 45552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 - 37 + 6*v)*(-7 - 4 - 3)*(-v + 0*v + 3*v)*(-2 - 1 + 1 + 5 - 4 + 1 + (3 - 1 - 1)*(-4 + 3 + 0) - 2 + 2 - 6).\nAnswer: 1176*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 5*j = 52 - 62, 2*j = 6 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1067 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*d*n**2*v - 39*d*n*v + 3*d + 36*n**2 wrt v?\nAnswer: 6*d*n**2 - 39*d*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -548 + 634*m - 557 + 1105 to o*m + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -0.4 (c) -4\/3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 26 = -0*k. Let h be 2\/14 - (-486)\/126. Calculate the remainder when -57*((-32)\/6)\/h is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 208549941 to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2464 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (0 - 1) + -8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -7 + 4 - (29 - 20) - -3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16811.\nAnswer: 16811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 1. Suppose 3*x - 3*i = 15, -5*i - 6 = -3*x + 11. Solve -h - x*h = g for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/3)\/(l**(4\/3)\/l))**(10\/13)*(l**(-10)\/((l**(-2)*l*l)\/l))**(2\/71) assuming l is positive.\nAnswer: l**(476\/923)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*c - 3307 = -158*c + 4070 + 5398 for c.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + z**2 + 1. Let o(b) = -10*b**3 + 2*b**2 - 3*b + 6. What is -o(q) + 6*r(q)?\nAnswer: 4*q**3 + 4*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1593 - 1592. Put z, 4, 6, 8 in decreasing order.\nAnswer: 8, 6, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183611091 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/3*(-3)\/(-11)*2.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -201 (base 3) to base 11\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 2. Let p(k) = 0 + 5 - 4 + 8*k. Calculate p(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from jojojjjojojjjoojjj?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -303704 (base 11) to base 12.\nAnswer: -1b64a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81\/(-42) + (-11 - 1*161\/(-14)).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0860496 - -0.086. Round l to six decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -99300 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -20. Put r, -6, -1 in decreasing order.\nAnswer: r, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 278 - 141 - 139 + 10*b**3 as p*b**3 + u*b + n + v*b**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from llllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 405828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 4)*(-1 - 1 + 3)*(-1 + 1 - 1)*(-29 + 29 - 39*l)*(0 + 3 - 5) - 4 + 5*l + 4.\nAnswer: 161*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 81 - 105 = -4*g, -5*t + 30 = 5*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3854, 7707, 11562, 15419, 19278, 23139, 27002?\n\"Answer: h**2 + 3850*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 4*w = -25, 0*y = -2*y - 3*w + 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (-6 + 7)) + -9 + -2 + 3 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*k - 85*k + 2 = 0. Which is smaller: k or 6\/19?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(n - n + 4*n**2)*(3893 + 3859 + 3860 - 24*n - 11647).\nAnswer: 96*n**3 + 140*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -4. Let y = c + 1. Solve -m + 4 = -y*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -546*u - 725. Is 19 a factor of v(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-3 - (3 + 1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 15*p**2\/2 + p - 12. What is the remainder when o(2) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9313900?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 8. Suppose -4*n - 16 = -4*x, 2*n + 8 = 3*x - 3. Suppose -2 = l + x*m, -2*m = -2*l - m + 3. Which is the nearest to l? (a) v (b) -0.4 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 times -45526?\nAnswer: -54631.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of k**4\/2 - k**3\/3 + k**2\/2 + k - 3. Let d be t(3). Let i = d + -11. Is 21 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**2\/13 - 1044*z\/13 + 2192 = 0 for z.\nAnswer: -548, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**2. Let s(f) = -20 - 7*f + 20. Determine y(s(p)).\nAnswer: -98*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43*3\/((-90)\/6))\/((-182)\/910).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (1 - -4)) + 28 + -16 + 10?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 36205991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 217078 to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 374139, 1496549, 3367237, 5986203, 9353447, 13468969, 18332769?\nAnswer: 23944847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17790 and 176121?\nAnswer: 1761210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 0 + 0*m**3 - 4*m**2 + 1\/6*m**4 + 12*m. Let q(b) be the first derivative of f(b). Let v(h) = 9*h**2. Calculate q(v(a)).\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1222029366?\nAnswer: 2, 3, 203671561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 28 = 4*l, -4*l - 4*o = 5 + 7 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1316977?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -74194 (base 13) in base 9?\nAnswer: -347627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-20)\/t**(-3\/5) assuming t is positive.\nAnswer: t**(-97\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h*j**3*p**3 + 3*h*j**2*p**3 - h*j**2*p + 16*h*j*p**2 - 1772*j**4*p**3 wrt j?\nAnswer: -12*h*p**3 - 42528*j*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 231 = -11*c, -5*c + 4*x - 2567 = -2462 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 23. Suppose -u = 4*h - 105, 0 = 2*h - a*h + 3*u + 101. What is the remainder when 102 is divided by h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**3 - 7*m**3 + m**3 + m**3 - 3*m**3 + 3*m**3 + (7*m**2 + 74*m - 74*m)*(m + 0*m + 0*m) to y*m**3 + j*m**2 + w*m + g and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a418 - 4?\nAnswer: -a41c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, 2\/9, 2\/15, -2\/9, -10, 1212?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**3 + 7 - 5637*b + 2818*b + 2821*b - 3*b**2 to the form v + c*b**3 + m*b + a*b**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134\/5 - ((-21 - 63) + 33)\/(-3).\nAnswer: 49\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50 by 1.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -1466167*a - 7330810. Calculate y(-5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 133 = -13*s - 5*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3)*(y**4 - 5*y**4 + 5*y**4) - 2371*y**3 + 11*y - 2359*y**3 - 3*y**4 + 4727*y**3.\nAnswer: -y**4 - 3*y**3 + 11*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 687, -4, 0, 2, -3485.\nAnswer: -3485, -5, -4, 0, 1, 2, 687","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1221 + -123?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/22 and 117\/440?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + o**2 + 2*o**4 - 4 + 5 + o - 3*o in the form f*o**2 + w*o + u + l*o**4 + i*o**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + h + 5 - 11 = 0, 6 = -n - h. Let w(t) = 151*t + 44. Let f(q) = -101*q - 29. Let y(i) = 8*f(i) + 5*w(i). Is 4 a factor of y(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15679 - -424006\/27. Let b = s - 25. Let x = -7\/15 - -13\/15. Which is bigger: b or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 times -370760\nAnswer: -4819880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38190375.\nAnswer: 3, 5, 83, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -282*a**6 - 726591*a**4 + 44*a**2 - 3750*a + 255.\nAnswer: -33840*a**3 - 17438184*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2324347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8435?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s + 18 = 10*m - 7*m + 16*s, -45 = -5*s. Let b be 12\/2 - (2 + -1). Solve m*f - 21 = b*f + 3*k, -f - 28 = 5*k for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 12:10 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 77, 113, 147, 185, 233?\nAnswer: 297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddrvdrrrvrddrrddrddl. What is prob of picking 1 v and 3 d?\nAnswer: 56\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4423012 to the power of 1\/2, to the nearest integer?\nAnswer: 2103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a milligram in micrograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) - 2*sqrt(847))**2 + (sqrt(448) - sqrt(448)*-2)**2.\nAnswer: 4879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/508 and -89\/411874335?\nAnswer: 1647497340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*b**3 + 4*b**2 - 2*b**2 - b**3 in the form a + o*b + t*b**2 + j*b**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five quarters of a milligram in micrograms?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m. Let b(g) = -4*g**2 - 15*g - 7. Let s(n) = n**2 + 5*n + 2. Let i(c) = 2*b(c) + 7*s(c). Give 5*d(r) - i(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19566333, -19566338, -19566343, -19566348?\nAnswer: -19566353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -5, 2, 3\/7, 48\/5, 4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -100374*b + 602223. Determine a(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1763\/5 + 9\/((-135)\/(-6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3710)\/42 - 2\/3. Let o = g - -106. Which is smaller: 6 or o?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -a**6\/120 + a**5\/3 - 19*a**4\/24 + a**3\/2 + 2*a**2. Let k be t(19). Let 0 + 5\/3*v**k - v**2 - 2\/3*v = 0. What is v?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3.17653ns?\nAnswer: 0.00317653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**2 - 2*p + 2*p. Let x be (-28)\/(-6)*90\/7. Let k(j) = -14*j + 117 - 57 - x. Calculate h(k(z)).\nAnswer: -392*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of h**6\/30 - h**5\/15 + 5*h**2\/2 + 11*h. Let a(v) be the first derivative of u(v). What is the third derivative of a(p) wrt p?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58 + -179\/3. Let s = -6.2 - -18.3. Let b = s - 12. Which is bigger: z or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 s, 1 q, and 1 j when four letters picked without replacement from zcsszqccjsjzzoojc.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4946100 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: Express (-2 + 0 + 0)*(8 - 8 + 3*a)*(-5 + 4 + 3)*(a + 2*a - 4*a)*(-4*a + 4*a - a) in the form i + c*a + x*a**3 + z*a**2 and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 46*m**3 - 4*m**2 - 10*m + 10. Let w be 30*(0 - 5\/(-2)). Let j be w\/(-10)*(-8)\/(-12). Let x be l(j). Round x to the nearest 100.\nAnswer: -5800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*(a**(-1\/10)\/a)\/a)\/(a**(-2\/7)*a))\/(a**(-3\/2))**(15\/2) assuming a is positive.\nAnswer: a**(1461\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-5*(-2 + sqrt(704) + (sqrt(704) - 2*sqrt(704)) + sqrt(704) + 2*sqrt(704) + 3 + 3 + (-1*(sqrt(704) - sqrt(704)*1) - sqrt(704)))**2.\nAnswer: 1920*sqrt(11) + 42480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 11*n - 23. Let s be f(-14). Let m = -51 - s. Calculate the highest common factor of m and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 329544179 and 27411?\nAnswer: 9137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -43, -37, -5, -3, 2 in decreasing order.\nAnswer: 2, -3, -5, -19, -37, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 2:41 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 627 - 434. Let s = t + -46. What are the prime factors of s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6776 and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 46 in 0, -0.3, 0.07, 1\/79, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 0 + 0*c + 2*c**2 + 1\/15*c**7 - 1\/20*c**5 + 0*c**4 + 0*c**3 + 0*c**6. Find the third derivative of f(z) wrt z.\nAnswer: 336*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.6759 or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -953, -3858, -8699, -15476, -24189, -34838?\nAnswer: -47423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**3\/6 - 38635*a**2 = 0.\nAnswer: 0, 231810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35.7 + -34. Let w = 0.4 - j. Let s = w - -1.236. What is s rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - (2 - (-14 - -5) - 12 - 3).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = j + 4*j + 5*u, 5*j + 4*u = -16. Let t = j + 26. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pop when three letters picked without replacement from pvvnhvnphpvvohvnhovh.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/67260 and 1\/260.\nAnswer: 874380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84515, 87598, 92737, 99932, 109183?\nAnswer: 120490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103233147.\nAnswer: 3, 89, 386641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(242) - sqrt(242)) + sqrt(242))**2*-6*5.\nAnswer: -7380 - 1320*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + (-9)\/(-6))*6. Suppose 5*c - p*c - 70 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -244 in ascending order.\nAnswer: -244, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millimeter in micrometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-472)\/112 + 4)*-14. Solve -k - 2 - n = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 16*j + 5. Let w be o(-16). Suppose -w*c = -0*c - 15. Does 19 divide ((-2)\/c)\/((-24)\/2988)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 7. Let m(h) = -h**3 + h**2 - h - 2. Let i be m(2). What is the units digit of i\/r - (-3)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30477328 to the nearest integer?\nAnswer: 5521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 74932\/393 - (1 + (-2)\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3324 + -16687\/5. Let m = -13 - j. Let 0*g**2 + 2\/5*g - m*g**3 + 0 = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.34 - -0.02?\nAnswer: 4.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 10 = 2*q, 20 + 5 = 5*q - l. Solve -15 = q*o - 5*i, 2 - 5 = 5*o - 2*i for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1495.91 - 1523. Let w = c + 27. Let h = -0.39 - w. What is the third smallest value in 3, 0.21, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, g: 3, o: 2, s: 1, x: 3, u: 5}. Give prob of sequence gg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4753.41 and 0.1705.\nAnswer: 810.456405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -10*u - 20. List the prime factors of x(-10).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 211451343224 - 1?\nAnswer: 211451343223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20394 and 4944?\nAnswer: 163152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express q + 0*q + q + 3*q + 3*q - 4*q + (4 - 2 - 1)*(2*q + 0*q + 0*q) - 2*q + 0*q + 0*q - q - 6*q + 78*q in the form t + g*q and give g.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.57 - 4.07. Let q = -1217\/2045 + -2\/409. Which is the closest to q? (a) -3 (b) -2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - y - 10 = 0, 2*y = -i - y - 14 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24925 - 10051 = 1169*y - 12185 + 14617 for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 162991, 652176, 1467485, 2608918?\nAnswer: 4076475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*c - 1130 = 197*c + 469*c + 28735 for c.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -215242 or -215246?\nAnswer: -215242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -21. Suppose 4*k + 3*m = r, -k + 4*m = -5*k + 8. Calculate the least common multiple of (k\/2)\/(3\/8) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 + -26. Is 1 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2043 - -1?\nAnswer: 2044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 784 and 735.\nAnswer: 11760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41\/20 + -9\/20. Let w = 73\/30 - j. Is 0 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-12))\/((-15)\/(420\/7))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 61427 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 1:19 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21\/205 + -4\/41. Let u = -8 + 8.8. Let q = 0.5 - u. Which is the biggest value? (a) x (b) q (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 324 = -3*c, 8*t + c - 500 = 5*t. Calculate the least common multiple of t and 84.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.074441 and 260054393?\nAnswer: 260054392.925559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 - 1)*(2*j**2 + 5*j - 5*j)*(0 + 0 - j) + (10*j**2 - 7*j**2 + j**2)*(2*j - 2*j + j).\nAnswer: 14*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -1. Let k(a) = -1. Let i(b) = -4*j(b) + 5*k(b). Let h(w) = 39*w - 21. Let q(c) = h(c) + 3*i(c). What is the derivative of q(m) wrt m?\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -1742*x**3 + 6*x**2 + 2992. Let d(k) = -15*k**3 + k**2 + 1. Let m(l) = -a(l) + 6*d(l). Find the first derivative of m(c) wrt c.\nAnswer: 4956*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 2*n + 5*n - 24.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - -2. Suppose -t + s + i + 0 = 0, 2*s + 8 = 0. Let j be (-36)\/9 - 2*-2. Put t, -2, j in increasing order.\nAnswer: -2, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-8)*20\/45 - 114\/(-684).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-21 - -27) + 3\/(-12) + (-5876)\/976 and -19\/321.\nAnswer: 39162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25\/58 + 2\/29. Let o = -67 - -73. What is the biggest value in o, s, -2\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 3:52 PM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 3*s - 45, -2*s + 239 = 5*h + 18*s - 46 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213.78975 milliseconds to minutes.\nAnswer: 0.0035631625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i = -108 - 35 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5028380 and -5.\nAnswer: -5028385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 234482150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j - c + 20, 2*j - 4*c = -19 - 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18877?\nAnswer: 43, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1324?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 6*k = -10*k + 16, 2*n - 5*k = 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/5, 2\/3631, 205?\nAnswer: 2\/3631","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*j - 21 = 0, 2*v - 2*j = -0*v + 36. Solve -4*d + 7 = v for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*x**3 - 425*x**2 + x + 455 wrt x.\nAnswer: 18*x - 850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/7)*j*j)\/(j**0\/j))\/(j**(-1\/4)*j*j**(2\/9))*((j**1)**(13\/6))**(-11\/5) assuming j is positive.\nAnswer: j**(-3091\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (0 - (-4 + 3 + 2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -101795181 and -0.1.\nAnswer: 10179518.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -69895698 + -0.4.\nAnswer: -69895698.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**3 - k**2 - 5*k + 2. Let j be z(2). Solve 4 = j*g + 16 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 3746*q**3 - 30 + 15.\nAnswer: 3746*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w - 1. Let l(h) = 35*h + 40. Let z(x) = -3*l(x) - 120*u(x). Let j be z(-2). Let g = 32 + j. Solve -2 + 12 = 4*n - g*p, 3*n = -p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 146*o**2 - 33*o + 8. Is d(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 659, 2966, 9211, 21362, 41387, 71254?\nAnswer: 112931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 5)*(-11667 - 2*f + 719*f**2 + 23331 - 2*f**3 - 11662).\nAnswer: -2*f**3 + 719*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36311651.\nAnswer: 43, 844457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k - 2*k + k)*(-1 + 0 + 0)*(-14 + 10 + 33)*(-k - k - k) to the form c*k + m*k**2 + p and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*((w\/(w*w**(2\/11)))\/w)\/w*w\/(w*w**(-1))*w*w**(-2\/3)*w**(-4))**(-1\/9) assuming w is positive.\nAnswer: w**(127\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a second in milliseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 6*y**2 + 6*y - 7. Let t be q(-7). Let c(b) = -b + 4. Let v be c(t). Suppose -2*d - 2*d + 2*n = -30, 5*d + v*n = 5. Is 3 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/((-196)\/16)*-4)\/(234\/(-273))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (24\/(-6 - -10) - 2) + 0. Let g(k) = 3 + h - 16 - k + 2*k + 7. Determine g(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 180861?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*i + 2)*(-4 - 3 + 5) - 922 - 30*i + 922 - 5*i + 2*i - i.\nAnswer: -30*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 (base 4) in base 5?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*q = 13*q + 25*q - 5400. Solve 3*r + 7*r = q for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 64*c - 71. Let b be m(4). Suppose -b = -10*f + 895. What is the greatest common factor of 72 and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 22*j**2. Let f(x) = -1469*x - 1. Determine f(q(h)).\nAnswer: -32318*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 62390100 rounded to the nearest 1000000?\nAnswer: 62000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 15262c?\nAnswer: -152627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3816*t**2 - 101*t**2 + 1755*t**2.\nAnswer: 5470*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -22010321 (base 5) to base 11\nAnswer: -119451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -801, 23, 847?\n\"Answer: 824*w - 1625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*w - 245*w = 5*m + 195, 0 = -5*m + 5*w + 15 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m + 14. Let i be s(-3). Suppose 4*p - 8 = -w, -4*w + 58 = w + i*p. Is -2342*((-18)\/w + 1\/1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3587000 = -w - 5*i, 17935000 = -15*w + 10*w - 2*i. What is w rounded to the nearest 100000?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48090 to the power of 1\/2, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -8. Suppose q*s - 7 = 17. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 6:31 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14233395 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.41 - 0.09193?\nAnswer: -0.50193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 471602 - 6?\nAnswer: 471574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 4*w + 7. Let a be r(5). Let n(v) = 3*v**2 - 41 - v**a + 41. Let b(u) be the first derivative of u**2 - 1. Determine n(b(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -54, -84, -116, -150, -186?\n\"Answer: -k**2 - 27*k - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = -8*h - 31. Suppose -4*r + 45 = -h. What is the highest common divisor of r and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7081938 + -230347\nAnswer: 6851591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rt when two letters picked without replacement from tttttrtr.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35972 is divided by 79.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.4, 3\/8, -9, -0.5, 3\/5, -3 in decreasing order.\nAnswer: 3.4, 3\/5, 3\/8, -0.5, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110111100110 (base 2) to base 6.\nAnswer: -55234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 19*l - 6. Let r(y) = -533*y + 169. Give -6*r(g) - 169*z(g).\nAnswer: -13*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 16. Let c(a) = -5*a**j + 0*a**2 + 7*a**2 - 4*a**2. Let p(d) = d. Determine p(c(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/6)\/(1078\/66))\/((-3)\/(-42))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 11 = 2*w + 15, 3*a - 12 = 2*w. Solve -2\/5*d**a + 2*d + 14\/5*d**3 - 22\/5*d**2 + 0 = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -414 + 579. Calculate the remainder when a is divided by 48.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, -3, -6\/7, -2\/9, -90\/11 in decreasing order.\nAnswer: -2\/9, -6\/7, -3, -90\/11, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - 6\/756*2532?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-5\/4)\/c*c**2\/c*(c**(-1)*c)**(-29\/2) assuming c is positive.\nAnswer: c**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -87. Find the common denominator of (-60)\/(-14) + 3 + -1 and (-12)\/30*f\/(-4).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -3. Let x be (-1)\/(f + 60\/(-16)). Suppose -2*u - 2*h + 1 = 3, -4*h - 28 = -4*u. Sort x, u, -5 in ascending order.\nAnswer: -5, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-2 - -13) + 2 - 15?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-22)\/g*g*g)\/(g*g**(-1\/7)))\/(g**35\/(g**(-37)\/g)) assuming g is positive.\nAnswer: g**(-664\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28386\/2241*3\/(-2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -7. Let m be (6\/4 - g)*3. Which is the closest to -1? (a) m (b) 0.4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11520321.\nAnswer: 3, 3840107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2541*u**3 - 1225*u**3 - 1312*u**3.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 905.572 decades in centuries?\nAnswer: 90.5572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -5 - 1 + 1 - 5*u. Let v(c) = -7*c**2 - c + 1. Let t be v(1). Let i be n(t). What is i rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1c7 (base 16) to base 11\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21635183 is divided by 1819.\nAnswer: 1816","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 131\/1510 - -2\/151. Let s = -29\/90 + j. Which is greater: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19e - 3?\nAnswer: -1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23594771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*t + 2042 + 4449 = 168 + 1227 for t.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 197\/12 - 415\/36. Put -0.3, 5, m in decreasing order.\nAnswer: 5, m, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/50 and -26\/11248515.\nAnswer: 112485150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 91 = -2*i - 0*i, i = -3*z + 18. Let r = i - -2. Calculate the remainder when 5 + r - (-6)\/2 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30541 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**3 + 18*a**2 - 6*a - 19. Let y(q) = -3*q**3 - 20*q**2 + 7*q + 23. Determine 5*w(r) + 4*y(r).\nAnswer: 3*r**3 + 10*r**2 - 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 1\/2 (c) -1 (d) 1863 (e) 0.04 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -505 (base 6) to base 10.\nAnswer: -185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.01 + -0.01. Let x = 0.1 - 6.1. Let v = d + x. What is the third smallest value in 0.2, -3\/4, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185620247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 6 = -34. Suppose x*k - 3*v - 30 = 7*k, -k + 18 = -5*v. Solve -4*y + k - 28 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 w, and 1 l when four letters picked without replacement from zczzzcwzwwlzwzzzwwlz.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -866 + 1.33?\nAnswer: -864.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1462 is divided by 131.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-6*(-3 + (sqrt(75)*-1)**2 - (-2 + sqrt(75) + sqrt(75) + -3))*-5.\nAnswer: -1800*sqrt(3) + 13860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 54*a**2 + 20*a - 45. Let s(h) = 31*h**2 + 10*h - 22. Let w(d) = -7*s(d) + 4*t(d). Calculate w(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12320\/13 or -947?\nAnswer: -12320\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (16\/(-56))\/(8\/204)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, e: 4, z: 7, h: 4, s: 1, n: 2}. Give prob of picking 1 s and 2 h.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c - 56 - 17 - 29.\nAnswer: 2*c - 102","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -3. Suppose 3*i - i + 2 = 0. Let m be 14\/(-21)*i\/(-1). What is the second biggest value in p, -2\/7, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**2 + a**3 + 16 + 4*a - 3*a + a**2 + 13*a**2. Let n be f(-12). Let i(g) = g**2 + g - 7. Does 13 divide i(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.089888357 rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-266)\/(-35)*5610\/3553.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ufssussf. Give prob of sequence uf.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.3, -3.5, -0.17.\nAnswer: -4, -3.5, -0.3, -0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*a - 3*g - 19, 0 = -2*a - 4*g - 6. Find the second derivative of k**4 - a*k**5 - k**4 + 62*k - 66*k wrt k.\nAnswer: -100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -6. Let x be ((-18)\/4)\/(1\/c). Let t = x + 15. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45517654 and 72618?\nAnswer: 3458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1))**(3\/19)*(k**(11\/2))**(-4\/5))**(-12) assuming k is positive.\nAnswer: k**(5196\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -159*g**5 + 1200756*g**4*m**3 - 24351*g**2*m**3 - 16*g**2*m - 201*m**3 wrt g?\nAnswer: -9540*g**2 + 28818144*g*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2670170?\nAnswer: 2, 5, 267017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 1 + 1. Let q be p\/(-5) - 219\/(-15). Suppose 0*c = -3*c + q. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -74 - -3?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 2*j - 13 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81664, 81577, 81392, 81061, 80536, 79769?\nAnswer: 78712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -334445*w**3*z + 3*w**2*z - 84*w**2 + 2700*w - 2*z wrt w.\nAnswer: -2006670*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 754734 to the nearest integer?\nAnswer: 869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.786 and 927.23.\nAnswer: 924.444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -7\/27, -1\/10 in increasing order.\nAnswer: -7\/27, -1\/10, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -2*p**5\/5 + 19*p**4\/8 + p**3\/3 - p + 81. Let b(i) be the third derivative of v(i). Find the first derivative of b(q) wrt q.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.122 and -8835.\nAnswer: 1077.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119 divided by -7.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -526114533*j**3 - 89235172 wrt j?\nAnswer: -1578343599*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qrqerqeeeeee. Give prob of picking 3 q and 1 e.\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (2 - -1) + (-88 - -119) + -13?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 10:12 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -3641?\nAnswer: 3635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, -7, 3\/5, 1, 559?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 4*s**2 - 7*s - 1. Let f(u) be the second derivative of -u**4\/12 - u**3\/3 - 3*u. Suppose 26*i + 263 - 211 = 0. Give i*a(c) + 7*f(c).\nAnswer: 2*c**3 + c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - y - 21 = 6*n, 0 = 4*n + 4*y + 4. Let r be 1*1\/((-3)\/(-2)). Which is the smallest value? (a) 0.1 (b) n (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2216 - 58195.\nAnswer: -60411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*h + 492*h - 150*h - 305*h**2 wrt h.\nAnswer: -610","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1062 or 1607?\nAnswer: 1607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 15, 24, -7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h = 3*h - 46. Solve 2*d + h*d - 12 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180578078*g + 0*g**3 - 180578078*g - 3*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 298050217?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbirbbbbb. Give prob of sequence bibb.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378536 is divided by 54073.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, o: 6, s: 4}. Give prob of sequence yoo.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 414*i**3 + i**2 + 3*i - 2. List the prime factors of u(1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -9, 5, -1, 1, 1727 in decreasing order.\nAnswer: 1727, 5, 1, -1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 - 48. Suppose -10*b + 3*b + 28 = a. Find the second derivative of 5*y - b*y**4 + y + 23*y**4 wrt y.\nAnswer: 228*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(2\/63)*c\/(c*c\/c**19)*((c\/c**19)\/c)\/(c*c**18))**(-2\/7) assuming c is positive.\nAnswer: c**(2390\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 1312 = s, s - 674 = -2*d + 5*s. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, -0.5, 0.007?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 1572 = r, -3*r - c + 2223 + 2501 = 0. Suppose 0*m - 7*m = -r. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 2*j**2 + 3. Let n be h(0). Suppose -2*c + 37 = 3*r, -5*r - 4*c = -62 - n. Solve -i - r = -3*p - 0, -5*p + i = -17 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -n**3\/6 - n**2\/2 - 218264*n. Let x be (0 + (0 - 1))\/1. Let o(c) = -c + 2. Calculate x*o(p) + 3*y(p).\nAnswer: -2*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*k - 38*k = -70. Is k > -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + -1)*(3 - 1). Let k = -14 - -58. Suppose -4*c + 0*c + k = 2*r, s*c = 4*r + 68. What is the remainder when c is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 89.8752l?\nAnswer: 89875.2","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -97120825*x**3 + 47177635.\nAnswer: -291362475*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (0 - (-1 + 2)) + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 174000568?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 128663?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12274, -12283, -12290, -12295, -12298?\n\"Answer: h**2 - 12*h - 12263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 3 + 13 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*3\/22*(-1364)\/124 + -5. Sort 1, -3, -40, i, -1.\nAnswer: -40, -3, i, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1473*j + 4*n + 96 = -1471*j, -4*n = 0 for j.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00072553 rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-2 + (-15)\/(-9)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 369.4 + -368.9. Let d = -4 + 3. Let s(j) = j**2 + 13*j - 1. Let k be s(-11). Which is the third biggest value? (a) k (b) q (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 26?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9265?\nAnswer: 5, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-44)\/(-143))\/(4\/26). Differentiate 78 + 37 + 75 - 15*z**g - 57*z**2 wrt z.\nAnswer: -144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -712 + 344 + 368 + 175*f - 1174*f.\nAnswer: -999*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -23 + (-1 + 18 - (-2063 - -2085))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35087190.\nAnswer: 2, 3, 5, 23, 211, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 7*h**2 - 83*h + 64. What is d(11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 368 - 362. Sort 1, -5, q, 3 in decreasing order.\nAnswer: 3, q, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 5 = -4*w. Let f(x) = -3*x + 0*x**w + 2*x**2 - 2*x**2 + x**3 + 2*x**2. What is f(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.9 - 2.1. Let y = 4 + o. What is the biggest value in 2, 5, y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 28\/10725 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.480658 + -4.5317. Let t = 0.051 + j. Round t to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 55 (b) -0.1 (c) 638 (d) -4 (e) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -3\/5, 5\/3, -5\/3, -11, -1\/2?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -20, -3\/5, -33\/2077, -11, -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 + -39. Calculate the greatest common factor of d and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1111504 and 648208?\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -174 - 1357. Let h = 2991\/2 + x. Find the common denominator of 21\/8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -100104*b**4 - 74564 wrt b?\nAnswer: -400416*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -5. Suppose -3*u + 4*u - o*g + 17 = 0, -51 = 3*u + 3*g. Let h = u - -24. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -2*i**9\/7 - 7*i**5\/10 + i**4\/24 + 50*i**2 - i. Find the third derivative of o(n) wrt n.\nAnswer: -17280*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/20 and (2\/128)\/(6\/474).\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4997000 rounded to the nearest 100000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5593325 a multiple of 1145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -488732 divided by -122183\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/(-216) - (16 + 1460\/(-90)) and 133\/120?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m**2 + 2*m - 3. Let t be x(-6). Suppose 0 = -2*q - 35 + t. Suppose i - 35 - 7 = 4*v, -3*v = -2*i + q. Is -14 >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of 31\/60*i**5 + 0*i - 2\/3*i**3 + 0 + 71\/70*i**7 - 2\/3*i**4 + 193\/120*i**6 + 3\/16*i**8 - 51*i**2. Solve b(l) = 0.\nAnswer: -2, -1, -1\/3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/5)*z)**(-32)\/(z\/z**(-7)*z*z*z**(3\/2)*z) assuming z is positive.\nAnswer: z**(-573\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 99 (c) -5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4284042168?\nAnswer: 2, 3, 7, 29, 125617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3122915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -96, -5, 19473 in ascending order.\nAnswer: -96, -5, 2, 19473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*u + 33, -4*u + 6*u = -b - 14. Let a = b + 24. Suppose -i + a*i = -26. What are the prime factors of i?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 0.4, -0.07, 0.5, 4\/17, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 325623 - -1?\nAnswer: 325624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56080 = -319*j - 1083*j for j.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/24)\/((-4)\/(-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2045, 16434, 55507, 131606, 257073?\nAnswer: 444250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3)*(2*c - 3*c + 3*c + 7).\nAnswer: 2*c + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - (-2)\/1) + (-4 - -22). Solve 2*s - 5*z = 0, m + 3 = -3*s - 5*z for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 24\/5 (b) 5 (c) -12733 (d) 3 (e) 0.2 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -5*w. Let m(g) = 639*g + 1. Calculate m(q(x)).\nAnswer: -3195*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -3, -0.1, -1\/2, 1564?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**9\/10080 - z**8\/1920 + z**7\/1008 - z**6\/1440 - z**4\/12 + 10*z**2. Let t(q) be the second derivative of g(q). Factor t(f).\nAnswer: f*(f - 1)**2*(3*f - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/83512 and 87\/10.\nAnswer: 417560","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**5 + f**5 - f**5 + (-2*f**2 + 0 + 0)*(5*f - 5*f + 2*f**3) + (-3*f**4 + 3*f**4 + f**4)*(2 - 2 + f) - 183*f**2 + 217*f**5 + 183*f**2.\nAnswer: 212*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2355*d. Let a(o) = -2*o**2. Determine u(a(h)).\nAnswer: -4710*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3723 - -133?\nAnswer: 4056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 10:48 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1719 or 1715?\nAnswer: 1715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -892?\nAnswer: 895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1530 + 36739\/24. Let z = -7\/12 + 11\/24. Let p = z + l. What is the third biggest value in -4, p, -2\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - -0.1. Let h = -2377 + 30899\/13. Which is the closest to -2\/23? (a) h (b) -1\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -8\/21*o**4 + 0 + 8\/21*o + 32\/21*o**2 - 2\/21*o**3 = 0.\nAnswer: -2, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -9*d**2 - 30*d - 257. Let t(s) = 4*s**2 + 14*s + 129. Calculate -6*p(l) - 13*t(l).\nAnswer: 2*l**2 - 2*l - 135","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3228 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**2. Let c(t) = -1315748*t. Give z(c(l)).\nAnswer: -3462385599008*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (-12 + 12 - 11 - -12).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 24\/(-18)*(-6)\/(-16)*-40. Solve g = 4*v + 8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0099746 to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -6*p - 4. Let a = -14 - -23. Suppose -a - 126 = -5*i. Let x(r) = -i*r + 0 - 1 + 26*r. Give -b(o) + 5*x(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58822*h**3 - 117806*h**3 + 58991*h**3.\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a day in hours?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 1.6. Let g = 25404.3 + -25404. Sort h, -4, g, -5 in descending order.\nAnswer: h, g, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 11. Is 3 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -20*c - 235. Calculate a(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9415 + 10007. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91+302258\nAnswer: 302349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26839582.\nAnswer: 2, 7, 11, 397, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q = 74 - 104 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 18 = -x, 0 = -2*m - 4*x - 0*x. Suppose 0 = -m*r - 12, -11*r + 9*r = -2*b + 9588. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 327 + -323. Solve -v = 4*o + f, 3*v = 5*o + 4*v + 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-5\/2)\/i)*i)\/i**18*((i\/(i\/(i*i\/((i*i**(-4))\/i)))*i)\/i)**(3\/10) assuming i is positive.\nAnswer: i**(-107\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -300*t**2 + 1617*t**2 - 142*t**2 - 294*t**2 - 296*t**2 - 291*t**2 - 294*t**2 + t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 48? (a) 4194 (b) -33 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -76?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 613 (b) -0.4 (c) -5 (d) 2100 (e) -4\/5 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -483*t**2*x**2 + 12932*t**2 - 77*t*x + 555*x**2 wrt x.\nAnswer: -966*t**2 + 1110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*z - 2\/7*z**3 - 4\/7*z**2 + 0.\nAnswer: -2*z*(z + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.54901 to 2 decimal places.\nAnswer: 2.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1\/6))**43\/(n**4\/(n\/n**(-4\/7))) assuming n is positive.\nAnswer: n**(1403\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 + 5*w + 8. What is m(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1527 greater than or equal to -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 7*x - 10. Let v(k) = 10*k - 15. Let b(f) = 7*h(f) - 5*v(f). Let m be b(9). Let t(q) = -2*q + 3. Let r(u) = 2*u - 4. Give m*t(c) - 3*r(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8199874657?\nAnswer: 13, 157, 631, 6367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 333255202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1526*a + 2909*a + 4 - 1475*a)*(-a**2 + 0*a**2 + 2*a**2).\nAnswer: -92*a**3 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 2)\/(-2)*1. Suppose 5*d + 4 = -3*q - 3, 2*d = -q - 3. Is 1\/(x - d) - -64 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 282139590 by -140718.\nAnswer: -2005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4 = -4*m. Let p(t) = -5*t**3 - t - 1. Let q be p(-1). Suppose 0 = -4*y, -2*a + y = -3*a - q. Is m bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -348, -756, -1222, -1746, -2328, -2968?\n\"Answer: -29*c**2 - 321*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -m**4\/7 - m**3 - 5*m**2\/7 + m + 6\/7 = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13154945 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 1. Let u be x(-1). Let o be (-2)\/1 - (0 - u). What is the units digit of (o\/6)\/((-1)\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-120)\/8 - -11) + -1550. Is m less than or equal to -1557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 8 = -w, 12 = -3*x - 0*w - 3*w for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 6 - 0. Let f(u) be the first derivative of -u**2\/2 + u - 5. Let w(d) = 4*d. Give b*f(a) + w(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (24\/10)\/(171\/(-30) - -6). What is the tens digit of -4 + ((-12)\/h)\/((-2)\/92)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jnrk when four letters picked without replacement from {r: 5, n: 1, x: 1, j: 1, k: 2}.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -295*k**3*m**2 + k**3*m + 67*k**3 - k**2*m - 23*k*m + 66*m**2 - 2*m wrt k?\nAnswer: -1770*m**2 + 6*m + 402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23340010 + -1330?\nAnswer: -23341340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 401804 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 z when two letters picked without replacement from czzz?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 49*m - 28. Suppose -4*g - 4*u = -32, u = -g + 5*g - 42. What is the hundreds digit of p(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t - 23. Determine i(7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1913, 15335, 51763, 122699, 239645?\nAnswer: 414103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1963)\/(-10419)*9\/156.\nAnswer: 1\/92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-2\/29)*g)\/g)\/(g\/(g\/(g*(g*g**(2\/19))\/g*g*g)))*g**(7\/6)*g**(3\/7) assuming g is positive.\nAnswer: g**(-13399\/23142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 12:41 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2a3671 + -7?\nAnswer: 2a3669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3189893, 3189894, 3189895, 3189896, 3189897?\nAnswer: 3189898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 bigger than 2\/2086709?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1608707155 to the nearest integer?\nAnswer: 40109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, r: 3, k: 1, b: 5, d: 4, w: 1}. What is prob of picking 1 b, 1 f, 1 r, and 1 d?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 0*c = 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 12331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2938 = -3*r - 4*p + 2953, -4*p = -r + 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1073 = -4*x + 1503. Let g = -338 + x. Suppose 0 = u - a - 107, -4*a = 5*u - 256 - g. Is u a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4954aa6 (base 11) to base 7\nAnswer: 133142150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 737?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2.05 * -29757\nAnswer: -61001.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1078, 2155, 3232?\n\"Answer: 1077*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = -6*y + y. Suppose 0 = -0*q - 2*q. Suppose 2*g + q - 22 = 0. What is the highest common divisor of y and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**(-2\/3))**(-1\/59)*(d**(-9)*d)\/d**(2\/29) assuming d is positive.\nAnswer: d**(-41650\/5133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 4*h**2 - 3*h + 3. Let s be o(2). Find the second derivative of 26*t**2 + 5*t - 2*t**s - 26*t**2 wrt t.\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + -2. Suppose 29*r = -40*r - 276. Which is bigger: r or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1921 a factor of 1119943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (6540\/24)\/(2\/92)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 610257 is divided by 237.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**3\/i**(18\/11) assuming i is positive.\nAnswer: i**(15\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**11\/(r**(2\/29)*r)*r**(-1\/4)\/r**18 assuming r is positive.\nAnswer: r**(-965\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 4:27 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -95*d**3 + d + 1. Let f be x(-1). Let i = -11376 - -11303. Let q = i + f. Is 5 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.08, -2, 6, -0.4, 0.4, -1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 231, 123, 15, -93, -201?\nAnswer: -309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41704 is divided by 515.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(612))*-2)**2.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3935 is divided by 297?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -z**5\/24 - z**4\/4 + z**3\/6 - 7*z. Let g(m) be the second derivative of p(m). Let s(t) = -t - 1. Determine -g(q) + 6*s(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 165953 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74199085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -2*j**2 + 1\/78*j**4 + 0*j - 1\/780*j**6 + 0 + 0*j**3 + 1\/390*j**5. Factor a(d).\nAnswer: -2*d*(d - 2)*(d + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18747161?\nAnswer: 18747161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 304 is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -397 - 30 - 113 - 3*b - 2*b**3 - 49*b**3 - 3*b wrt b.\nAnswer: -153*b**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 27 - 50 = 0. Let j = 30 - 31. Let n = j + 0.8. Which is greater: b or n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 128 = -3*z + 69, m - 42 = 2*z. Let q = -1 + 6. Calculate the highest common divisor of m and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddccdddd. What is prob of picking 1 c and 1 d?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 4. Let w be (-1 - -1)\/(19 + -21). Suppose w = -36*k + 37*k + 3. Put k, -4, m in ascending order.\nAnswer: -4, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(95)*-4)\/(-1*sqrt(180) - sqrt(180) - sqrt(180)).\nAnswer: -4*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/22 - (36881676\/297)\/(-26)?\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -1 (c) -1911501\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*((-18)\/(-81) + 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -49268, -197110, -443514, -788480, -1232008?\n\"Answer: -49281*k**2 + k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2895\/70)\/(-3) + (-980)\/(-70).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + f - 110. What is the remainder when 41 is divided by f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*h**2 - 8 - 6*h**2 - 74*h + 74*h.\nAnswer: 3*h**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millennium in months?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -10*w**3 + 2*w**2 - 1. Let y be t(1). Let m(z) = -z**3 - 4*z**2 + 2*z - 3. Let n be m(y). Suppose -n = -7*b - b. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mcdvm. Give prob of picking 2 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 685 - 599. Which is greater: k or 84?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16 - 4*g**5 + 16 + (-3*g**2 + 3*g**2 - 2*g**4)*(43081 - 43081 + 1020*g).\nAnswer: -2044*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 + -1.7. Let i = 76 + -74.31. Let j = i + f. Which is the closest to j? (a) 2 (b) 5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*o**3 - 20*o**3 + 118*o**3 - 28*o**3.\nAnswer: 182*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence msv when three letters picked without replacement from mmwwvimmmmmsvmmmmmv.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -91 in 2\/5, 1, -3\/32, 24?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44012?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3006622959?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 856 = -4*o, 0 = 3*o - 0*o. Let x be (-2)\/5 + b\/(-10). Let k = x - 6. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 9:06 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000025089 to seven decimal places.\nAnswer: -0.0000251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 + 49. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**4 + 124*r**3 - 2522*r**2 + 18600*r - 45000 = 0. Calculate r.\nAnswer: 6, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 7*n**3 + 0*n**2 - 2 + n**2 + n**2 + 1. Let j be -2*(10 - 6) + 1 + 6. Determine f(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/93 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10024869.\nAnswer: 3, 41, 149, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - x + 6276 = -2*q, 2*x - 5016 = 4*q. Let s = q - -2255. List the prime factors of s.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.056 and -1.655.\nAnswer: -0.09268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 197373.9 times -0.6?\nAnswer: -118424.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 5) to base 3.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 2*t**3\/3 - 9*t**2\/2 + 19*t + 320. What is q(5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 + -86 + 148 + 3?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28*(-1296)\/(-1008)*(-6)\/27*2?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8536253775 - 0.016?\nAnswer: 8536253774.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + y**2 - 2*y)*(4*y - 4*y - 3*y) + (18 - 18 - 9*y)*(-19*y**2 - y**2 + 0*y**2) + 4 + 4*y**3 - 8*y**3 + 3*y**3.\nAnswer: 176*y**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 146 = 2*v - 7*v, -7*p - 3*v - 3 = -112 + 39 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*c**5 - 4*c**5 + 6*c**5 + (3*c**2 + 0*c**2 - c**2)*(-10*c - 11*c + 3*c)*(-4 + 4 - c**2).\nAnswer: 33*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-58)\/(-87))\/((42*(-56)\/63)\/2)?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110521, -221018, -331521, -442030, -552545, -663066?\nAnswer: -773593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, j: 11}. What is prob of picking 2 i?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((408\/(-272))\/(1\/(-4)))\/(-11)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u = 14*u - 60. Let g = 63 + u. What is the greatest common divisor of g and 297?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z**(1\/13)*z)*z))\/(z*z**(-23)))\/(z**(1\/4)*z**20) assuming z is positive.\nAnswer: z**(95\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3504810 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 17*u**2 + 7. What are the prime factors of g(4)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -850958 - -11899347\/14. Let n = f - -1003. Let t = 28737\/8 + -3581. Find the common denominator of t and n.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2890744589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 7:24 PM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -42 + 10*w**2 + 7*w - 21*w**2 + 42*w**2. List the prime factors of t(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 193248, 386461, 579674, 772887, 966100?\n\"Answer: 193213*y + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d**2 - d + 375. Give a(-16).\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**3\/l**4)**(1\/15) assuming l is positive.\nAnswer: l**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2289840091?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r - 1. Let v be y(-4). Is v\/(-3)*(-158)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27462 - -27461.9988251. Round f to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o + 1458 + 44 + 16*o - 1502.\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52)\/(-10) + (-16)\/80?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 0. Let r = 0 + 3. Suppose -u = 2*u - 6, -a*u = -r*c + 9. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1*(2*sqrt(343)*6 - ((sqrt(28) - sqrt(252)) + (3 + sqrt(14)\/sqrt(2) - sqrt(7)))))*3.\nAnswer: -264*sqrt(7) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2 - 432*b - 132358. Give f(387).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10628634.\nAnswer: 2, 3, 101, 17539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -34, -101, -202, -337, -506, -709, -946?\n\"Answer: -17*j**2 - 16*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-201 + 378 - 195)*(-v + 4*v + 0*v) + 12*v + 5*v - 12*v.\nAnswer: -49*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 163819 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306*b = -179*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3590678 is divided by 448833?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-90)*(-25)\/(-15)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.412*2\nAnswer: 0.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 947039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 d, 1 f, and 1 c when four letters picked without replacement from {w: 7, f: 2, l: 1, c: 5, d: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 5 = o. List the prime factors of 164\/9 - (-6)\/o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.63 - -8.301. Let p = q + 1.329000821. Round p to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (14 - 12) + (3 - 0). Suppose 215 = 2*m + g*w, 0 = 3*m - w + 3*w - 339. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - (-16)\/(-9))\/(12\/18). Which is the smallest value? (a) 3\/2 (b) x (c) 2\/5 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.9 - -89.9. Let v = f + -131. Let r = -42.9999954 - v. Round r to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r**3 - 3*r**3 + 98 + r**2 + 16*r - 17*r**2 - 91. Calculate the least common multiple of p(15) and 220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) -2\/9 (c) -2 (d) 14 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 divided by 146?\nAnswer: 66\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1\/5 (b) 8 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z + 53. Let p be w(37). Suppose 0 = 3*c - 6*g + g - 14, -4*g - p = -4*c. Solve 2*x + j - 13 = 0, -3*x + j = -4 - c for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15184 equal to 2192?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 658345?\nAnswer: 5, 353, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2581 or -2582?\nAnswer: -2582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 102372459?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/860 and 31\/2365.\nAnswer: 9460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000082678 to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -98*h - 32\/3*h**3 - 82 + 0*h**2. Differentiate i(z) with respect to z.\nAnswer: -64*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 7 (b) -4 (c) 5 (d) -54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-18)*j**(-9\/5)\/j)\/(j**5)**(-19) assuming j is positive.\nAnswer: j**(371\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -67 - -65. Let k(n) = n**2. Let j be k(c). Solve 0 = -4*f - 4, -4*f + 0 = -j*y - 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -803\/3 + 262. What is the common denominator of w and -33\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008405476 to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 470 and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (11 - 5) + -6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x\/x**(-1\/8)*x*x)))\/x**(-4\/3))**(2\/31) assuming x is positive.\nAnswer: x**(107\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 + 55 + (0 - (1 + 0)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 12 = 11*a + 31, -2*a + 2*f - 6 = 0. Let l(w) = w**3 - w**2 - 4*w - 8. Calculate l(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1118 by -7873.\nAnswer: -1118\/7873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 8:59 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 427 + 417 = 0. Suppose -17*y - 14 = -15*y - o*u, 4*y - 4 = 2*u. Solve 10 = g + y*p, -6*g + 1 = -2*g - p for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-179*k - 21*k**2 + 179*k)*(83 + 4 + 66*k**2 - 65*k**2) to the form n*k**3 + q*k + a*k**2 + j*k**4 + x and give j.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/8 of a micrometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82531154.\nAnswer: 2, 47, 617, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m - 11*m + 55817*m**3 + 189577*m**3 + 2*m.\nAnswer: 245394*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x + 2 + 0 + 6*x**2 - 2*x + x**3. Let h be k(-7). Let w(m) = 12*m**2 - 3*m + 2. List the prime factors of w(h).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 1050\/174)\/(50\/100)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 31*b - 171. Does 52 divide c(29)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 162 + -193. Is p less than -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 9:03 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - h + 0*h)*(0*h + 0*h + 2*h - 3*h - h + 2*h + 1 - 2*h - 1 + h + 4*h - 4*h + 4*h - 4*h - h + (2*h + 2*h - 3*h)*(-4 + 2 + 0))*(-3 + 2 - 1).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o + 1. Let r = -52 - -84. Calculate the remainder when r is divided by q(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 2:22 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 1\/4, 3, -16\/5.\nAnswer: -16\/5, 1\/4, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 18 - 82 = 0. Let t = x - 7. Let v = 32 - t. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*t = -8*t + 64. Suppose -t*x = -b - x + 4, 16 = 5*b - 4*x. Determine v, given that 1\/4*v**2 - v + b = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*m - 16699 - 8105. Suppose -679*x + m*x = 4560. Is x a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1*((sqrt(2) + (sqrt(2) - (1*sqrt(98) + sqrt(98))))*6 - sqrt(12)\/(sqrt(294)*-2)).\nAnswer: 2 + 1007*sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3645) - (sqrt(3645) - (-5 + sqrt(3645))*2))**2 + -5.\nAnswer: -1080*sqrt(5) + 14675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 247 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10188.\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of u**5\/20 + 29*u**4\/12 + 29*u**3\/6 + 14*u**2 - 18*u. Let y be m(-28). Solve -2*f - f = y for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*d**3 - 8304*d**2 + 2180*d = 0.\nAnswer: 0, 5\/19, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.591 + -2.591. Which is the third smallest value? (a) i (b) 5 (c) -0.5 (d) 0.6 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -3810 + 4054. What is the smallest common multiple of j and 549?\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.2 (b) 13 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1783*0.47828.\nAnswer: 852.77324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 1. Let i be 5\/g - 1 - -3. Sort i, -4, -1.\nAnswer: -4, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15170 + 15190. Calculate the least common multiple of q and (-2 - (-4)\/(-3))*-6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.5, 5\/16, -5, -2\/113?\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -630 divided by 9?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2336453, 4672866, 7009237, 9345566, 11681853, 14018098?\nAnswer: 16354301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1857 divided by 3.\nAnswer: -619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by (-5)\/((-75)\/1368) - (-24)\/(-20)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 328*t**2 - 2326*t - 6377. Give v(335).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 + 9*z + 8. Let n(s) = -s - 1. Let y(r) = g(r) + 3*n(r). Let q(l) = l - 1. Let k be q(5). Let h(a) = a - 8. Let w be h(k). Calculate y(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - l - 24. Let v be i(0). Let k = 43 + v. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23497\/20 + -1174. Calculate the common denominator of (-129)\/(-20) - (13 + -11) and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 844 - z**2 + z**2 - z**4 + 1442 + 2*z**2 in the form g*z**4 + c*z + n*z**3 + p*z**2 + b and give b.\nAnswer: 2286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18.12 + 18. Let t = 0.22 + i. Round t to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4727, 9448, 14169, 18890, 23611?\nAnswer: 28332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 + 10 + (-10 + -6 - -13) + 6.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41853*m = 41850*m - t + 51, -5*t + 345 = -3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16476804 is divided by 89?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5*sqrt(931) - sqrt(931)) + 1 - (-1 + sqrt(931) + 0 - (0 + (sqrt(931) + 0 + sqrt(931))**2)).\nAnswer: 21*sqrt(19) + 3729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-264)\/90)\/22*-9*(-220)\/18*6.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - l + 5*l - 29 = 0, -3 = -3*l. Suppose -5*v + 3 = 4*x, x + 2*v = v + 1. Solve x*a + 4 = b, q*a + 4*b = 20 - 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -779*y - 30*y**2 - 35*y**2 - 172*y + 100*y**2 - 32*y**2 as s*y**2 + i*y + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4 + 1 - 2*j - 2*j + j**2 - 2*j. Calculate t(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10183 + -9865. Calculate the lowest common multiple of o and 1272.\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1498490 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/69138 and -55\/23046.\nAnswer: 69138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (743 - 743 - 83*j)*(0*j**3 + 2*j**3 + 0*j**3) + 3 - 3 + 2*j**4.\nAnswer: -164*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 37*v**4\/4 + v**3\/3 + 21*v - 26. What is the first derivative of l(c) wrt c?\nAnswer: 111*c**2 + 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 0 - 12*g**3 + 0. Let c = 14 - 0. Let t = c + -15. Calculate k(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107049 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90.4*-226190.\nAnswer: 20447576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4373635 or 4373640?\nAnswer: 4373635","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*t = -0*t - 42, 3*l = 5*t + 29. Suppose -1 + 11 = 5*h. Suppose -h*u = -0*u - 4, -u = -4*d + 86. Calculate the remainder when d is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2448) + -3 - sqrt(2448) - (0 + -2*sqrt(2448)))**2 + -2.\nAnswer: 72*sqrt(17) + 2455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) - ((sqrt(242) - (sqrt(242) + 1)) + sqrt(242) + 4)) + -3 + sqrt(242) + 1 + -2)**2.\nAnswer: -154*sqrt(2) + 291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1\/2)*o)**31)**(2\/141) assuming o is positive.\nAnswer: o**(31\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(88\/20 + 4\/(-10)). Let c(k) = -k**2 - 8*k - 1. Let m be c(i). Is m at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1079967815 + -1570?\nAnswer: -1079969385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 7:51 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 1806?\nAnswer: -1808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 5:16 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -a**5\/60 + a**4\/8 - a**3\/6 + 7*a**2. What is t(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1991*x**2 - 997*x**2 - 114 - 996*x**2.\nAnswer: -2*x**2 - 114","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y + 2*y - 5*y + 0*y - 3*y + y + 9*y - 36 + 36 + (3*y + 0*y - 4*y)*(-1 + 1 - 1) - 2*y + 1 - 1 as i + p*y and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 1. Suppose c*t - 3*l - 5 = 15, 5*l + 40 = 4*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -2 (b) 4 (c) -52.31 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1177*p**2 - 1177*p**2 - 192*p + p**3 + 2354*p**2 in the form u*p + q*p**2 + r*p**3 + o and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lyiljciyly. What is prob of picking 1 l, 1 c, and 1 y?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 10 + 0 - (-38 + 44).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 302564?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*z + 11616 = -509*z for z.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 4 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1205578043 + 1?\nAnswer: -1205578042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1217882 rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34695.\nAnswer: 3, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*(r*r*r\/r**(1\/4)*r)\/r*r))**(16\/9)*r\/(r**(-9)\/r)*r**(-7) assuming r is positive.\nAnswer: r**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/((-6)\/(-23)))\/((-2231)\/(-4462))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10370)\/(-305) + 168\/(-5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2. Let f(p) = 83*p**2 + 22*p - 6. Calculate f(x(k)).\nAnswer: 83*k**4 - 22*k**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832) + 2 + 0.\nAnswer: 2 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -23. Put a, 2, -1 in descending order.\nAnswer: 2, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1513609, -3027218, -4540829, -6054442, -7568057, -9081674?\nAnswer: -10595293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 4216*m + 2335341. Determine l(-656).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*h + 3 - 1 + 6*h)*(-1077*h**3 - 1424*h**3 + 368 - 368) to the form c*h**4 + o*h**2 + f*h + q + j*h**3 and give c.\nAnswer: -30012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.446796253 + 108.\nAnswer: 118.446796253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2 - 1 + 8 - 6 + 5*h**2 - h**3. Let q(n) = -19*n**2 - 119*n - 26. Let y be q(-6). Determine d(y).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 138, 3, 19, 4 in decreasing order.\nAnswer: 138, 19, 4, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/2339964 and 29\/660.\nAnswer: 11699820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -682, -719, -766, -811, -842?\nAnswer: -847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y + 502 - 411 = 0 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -209 - -119. Let t = k - -98.5. Round t to 0 decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-204)*(-466004)\/23496?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 105 - 91, -3*k - 337 = -2*p. Let d(t) = 5*t - 2. Suppose 0*n = -5*n + 15. What is the remainder when p is divided by d(n)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 3*z + 369, -10*i + 35*i = 10*i + 22*i + 3*z - 495 for i.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 16. Let c = y - -8. Let q = 3 + 0. What is the nearest to 0 in 0.3, c, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -291\/14 - -149\/7. Solve 3\/2*k**4 - k**2 - 3\/2*k + 1\/2*k**5 + k**3 - t = 0 for k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4496, 8984, 13482, 17990?\nAnswer: 22508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -659*m**2 - 658*m**2 - 644*m**2 + 1963*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -6*y**2 + 15*y + 14. Calculate g(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**6\/120 - 7*y**5\/60 - y**4\/4 + y**3\/3 - 10*y**2. Calculate s(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*s - 92 = 9 - 15 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 91351961460 take away 0.98?\nAnswer: 91351961459.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/50)\/(-3))\/((-20)\/(-200))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 16*m**2 - 16*m - 2. Let j be c(17). Calculate the highest common factor of 5 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(162)*1*-5)**2 + 1.\nAnswer: 4051","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 5*u**4\/12 + 1670*u**3\/3 + 278890*u**2 - 5*u + 164. Let d(m) = 0. What is m?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66082711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 8 - 7. Sort -3, y, -1, 3.\nAnswer: y, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**3 + 2*a**3 - a**3)*(408*a**2 - 7 + 8 - 413*a**2).\nAnswer: 5*a**5 - a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and 1576.112?\nAnswer: 1571.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*z - 10*r, -37*z - 317 = 2*r - 128 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sq when two letters picked without replacement from {q: 2, s: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.07 (b) -16\/5 (c) 0.244 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47769, 191112, 430021, 764496, 1194537?\nAnswer: 1720144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*u - 116*u = -366694 + 139948. Does 9 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 - 51. Let f(k) = k**2 + 7*k + 8. Give f(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 7*y**2 + y - 5. Let n be r(7). Find p such that p - 4*p**3 + 2*p + n*p - p = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of j**3 - 3*j**2\/2 - 2*j + 6. What is the remainder when 29 is divided by h(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(sqrt(32)*-1).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z - 1. Let b(q) = 2*q**2 + q + 4. Let i(f) = -1. Let w(m) = -b(m) - 3*i(m). Determine 2*o(p) - 2*w(p).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**3 + 4*f**2 - 399*f - 4. Let y(n) = 2*n**3 - 5*n**2 + 399*n + 5. Give 5*c(j) + 4*y(j).\nAnswer: -2*j**3 - 399*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 18\/27*2343\/(-142)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y. Let l(b) = 5573875*b**2 + b - 2. What is l(x(p))?\nAnswer: 50164875*p**2 - 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) + 0)*-5 - (-2 + sqrt(12)\/sqrt(4) + (sqrt(363) - (sqrt(363) - 1*sqrt(363) - sqrt(363))))**2)*-4.\nAnswer: -308*sqrt(3) + 6364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -19*k. Let v(w) be the third derivative of w**5\/24 + 71*w**3\/6 + 42*w**2. Let p(y) be the first derivative of v(y). Calculate h(p(z)).\nAnswer: -95*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y - 5*r + 55 = 0, -1 = -y + r - 3*r for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -8*q**3 + 451*q**2 - 1424*q - 147. Determine t(53).\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*h + 59 - 312 = 0. Let p be 8\/(h + -7) - -2. Solve q = 3*g + 5*q - 21, -p*q = -5*g + 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24247 + 29403.5. What is a rounded to the nearest one hundred?\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -678 by 6.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -176340*h**2. Let r(g) = 2*g. What is w(r(z))?\nAnswer: -705360*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2282\/9, 0, 5, 4\/5, 1\/11, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720) + 1*((sqrt(720)*3)**2 + sqrt(720)) + 3 + sqrt(720)*-2.\nAnswer: 6483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -105a (base 12) in base 14?\nAnswer: -926","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, p: 4, t: 1, j: 3, y: 1}. Give prob of sequence jjy.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*t + 2 = 0, -6*x = -5*x - t - 2. What is the highest common divisor of 45 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + -1*sqrt(300))\/((2*sqrt(6) + sqrt(6))*-5) + -5 + sqrt(288)*1 + -1.\nAnswer: -6 + 184*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + -15. Let t = -3 + 5. Suppose 2*v = -t*v + 36. Calculate the least common multiple of v and k.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 4:15 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5445656 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1433 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.3 (b) -0.4 (c) -0.1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m + 10 + 31*m**3 - 34 + 23)*(1 - 10 - 7) to w + l*m**3 + f*m + q*m**2 and give f.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2034*w + 1616. Is 62 a factor of l(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5716.002 nanoseconds to minutes.\nAnswer: 0.0000000952667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1023 - 611. Let z be u\/28 + (-8)\/(-28). What is the greatest common factor of 60 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0766 * 2.65\nAnswer: -0.20299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*h + 28 + 3, -5*b + 61 = -4*h. Let y be (405\/(-6))\/h*-2. Is y + 13 + (-1 - -1062) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 4 = 2*t, -x - 3*t = -2814 + 2820 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 61603200 and 21390.\nAnswer: 61603200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 4*t + 3*j, 4*t - 3 = -4*j - j for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 13*h - 22 + 92 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 11:09 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 418744128 and 3972.\nAnswer: 3972","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2cc7 (base 14) to base 7.\nAnswer: -32240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {z: 2, o: 7, t: 3}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -242, 6, 2, -2 in decreasing order.\nAnswer: 6, 3, 2, -2, -242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (28\/(-3))\/(18\/54). Put 5, 3, y in decreasing order.\nAnswer: 5, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48960 * 1.697\nAnswer: -83085.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 276564*z - 2 - 1 - 276562*z + 252*z**2 + 3.\nAnswer: 252*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 30*q**2 + 4. Let c be s(-30). Solve -c = t - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5491\/56 + 98. Let g = -257\/395 - 13179\/22120. Let t = g + m. Find the common denominator of 38\/3 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 8:55 AM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 116556977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13232 = -236*l - 5134 + 6386 - 9496 for l.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1079 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**4\/3 + 2144*d**3 + 2*d**2 - 19292*d\/3 - 4288 = 0. What is d?\nAnswer: -1, 2, 3216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 6:45 AM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 0*i = 342. Let p = 70 - i. What is the remainder when p is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22772981 to the power of 1\/2, to the nearest integer?\nAnswer: 4772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/11 (b) 2 (c) -0.51 (d) -2 (e) 5 (f) -10 (g) -2\/19\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43*b**4 + 49*b**3 + b**2 - 12*b - 6?\nAnswer: 1032*b + 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1135492 and 202685322?\nAnswer: 405370644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 4:27 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11\/22*-8 + (-99)\/(-25)\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h = 5*g + 6*h + 5, -5*g + 25 = h. Find the third derivative of -16*u**g - 171*u**2 + 68*u**2 + 88*u**5 - 90*u**5 - 4*u**4 wrt u.\nAnswer: -120*u**2 - 480*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b**2 - 2*b**2 - 22051*b**3 + 22065*b**3 + b**2.\nAnswer: 14*b**3 - 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*k**3 + 7*k**3 - 7*k**3.\nAnswer: 17*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5048\/87079 or 0?\nAnswer: 5048\/87079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a microsecond in nanoseconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 10*n - 2. What is p(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 24 = 2*y, -3*y - 4*c + 68 = 18. Suppose 3*u - 42 + 1 = 4*o, -4*o - 3*u - 23 = 0. Let f = y + o. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(684) + -1 - ((sqrt(684)*-1 - sqrt(684)) + sqrt(684) + sqrt(684))*-2)*-1)**2.\nAnswer: -24*sqrt(19) + 688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 0. Let f(g) = g. Let t(n) = -1 - 1 - 3 + 3*n + 3. Give m*t(v) - 2*f(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49419624065 + 44.6.\nAnswer: -49419624020.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**(5\/6)*n*n*n))**(7\/2)*(((n\/n**(-2\/73))\/n)\/n)\/n**(-2\/17))**(-15) assuming n is positive.\nAnswer: n**(1062665\/4964)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -394.061 - -394. Which is the second biggest value? (a) -0.5 (b) k (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -291 + 1171. Round a to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.27 - -1.53. Sort -3\/2, p, -0.1 in decreasing order.\nAnswer: p, -0.1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 648012 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - (-2 + 3 - 3). Let x = 0.12 + 0.88. Which is the nearest to -0.1? (a) x (b) n (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 127 + -125. Suppose -120*d**3 + 0 + 125*d**3 + 0 + 40*d**q - 45*d = 0. What is d?\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 - 1 - (-148 + 153) and 13.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2485193900 to the nearest one million.\nAnswer: -2485000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 12. Suppose 4*x = 2*a + 4, 3*x = -x - 3*a - 6. Let c be (2 + 0 - x) + f. What is the second smallest value in 4, c, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p**2 + 3*p**2 + 0*p**2 + (2*p - 2*p - 2*p)*(5*p - 3*p + 0*p) + p**2 - 8*p**2 + 2*p**2.\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wwwswwwswwswwwww?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z - 2*z - z + (z - 3 + 3)*(-1 + 2 + 0) + (3*z - 2*z - 3*z + (-5*z + 3*z + 3*z)*(3 - 2 + 0))*(-3 - 3 + 5).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 90?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of i**6\/180 - i**5\/30 + 2*i**3\/3 - 3. Let m(n) be the third derivative of f(n). What is the second derivative of m(t) wrt t?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-2)*1\/(75\/(-12)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xpmm when four letters picked without replacement from {p: 2, x: 1, m: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3435 + 25421?\nAnswer: 33300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 27712103009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 1638 - 439 = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.152 and 5.3975.\nAnswer: 5.2455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 1. Let n be o(-2). Find the second derivative of 0*x + n*x**3 - 4*x + 8*x wrt x.\nAnswer: 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -911376 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 44 + 2 + -6 + 48\/8. Suppose -30*o = -x*o + 80. Solve 0 = -o*u - 152 + 167 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 2)\/((-1)\/(-4)). Let r(p) = 11 - v - p + 6. What is the remainder when r(9) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i + 2. Let f(n) be the second derivative of n**3\/3 - 2*n**2 - n - 620. Calculate 3*f(p) + 7*h(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 505, -2, -40 in descending order.\nAnswer: 505, -2, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j + 8. Let o be (-46)\/8 + (-4)\/16. Let u be q(o). What is the nearest to 2 in 1\/3, -0.1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from upkuuupsppkpukkk. Give prob of sequence ks.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78840 and 12574980?\nAnswer: 25149960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.87559 litres to millilitres.\nAnswer: 17875.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 421 divide 1001490864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (33\/(-12) - -3)*4. Let j = l - 4. Let r(n) be the second derivative of n**5\/20 + n**4\/6 - n**3\/3 - n**2\/2 + n. What is r(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 19*w - 74. Give f(0).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -f**6\/10 - f**4\/6 - 2*f. What is the third derivative of a(d) wrt d?\nAnswer: -72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 50*x + 200. Let r be y(-4). Calculate the greatest common factor of 14 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m. Let k(d) = 16*d. Calculate x(k(a)).\nAnswer: -48*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 818, 2130, 4444, 7760?\n\"Answer: 501*t**2 - 191*t + 508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4*(sqrt(6)\/sqrt(2))**2 - (sqrt(6)\/sqrt(2) + 5)).\nAnswer: -sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**3 + 22*o**2 - 5*o + 54. Let s(i) = -i**3 + 11*i**2 - 3*i + 26. Let b(q) = -6*h(q) + 13*s(q). Does 14 divide b(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -123*w - 11 + 65*w + 57*w. Give h(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-10)*i**(18\/5))\/(i**(-1\/4)*i**37) assuming i is positive.\nAnswer: i**(-443\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8619 is divided by 1719.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - 51 - -19) + 0 + -1 + 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + (-2 - 1010\/(-140)))\/((-5)\/10)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -446*t - t**2 - 26 - 445*t + 893*t in the form h*t**2 + x + s*t and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4596 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -909, -1823, -2737?\nAnswer: -3651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y. Let w be 145\/10 + (-3)\/6. Let a = w + -8. Let k(h) = 0*h - 3*h - 2*h + a*h. Calculate k(l(i)).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -220490612\/1364518701 - -32\/402157. Let q = -2\/261 - l. Which is the biggest value? (a) -4 (b) q (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of 3*v**2\/2 - 2*v + 2. Let l(z) = 2*z**2 - 2*z + 2. Let h be (2 + 0)*19\/38. Let o be l(h). Give x(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -12588 and -12587 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence plpp when four letters picked without replacement from {p: 8, l: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 505, 56, -4 in increasing order.\nAnswer: -4, 0, 56, 505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i**3*s**2 + 448*i*s**2 + 219*s**2 + 23*s wrt i.\nAnswer: 6*i**2*s**2 + 448*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 5*i - i + 40, -3*w + 24 = -3*i. Suppose 2*b = 2 + w. Suppose b*a = -3 + 18. Solve 0 = y - 4*q - 12, 5*y - a*q = q - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 4, 0 = -3*n - 3*a - a + 668. Calculate the lowest common multiple of 100 and n.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vhhjwvvv. What is prob of picking 2 v, 1 j, and 1 h?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -676 + 676 - 2*o**2 + 0*o**2 + o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 513286 + 419*o**2 - 513286 to the form v*o**2 + n + x*o and give v.\nAnswer: 419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g - 6. Suppose 0*n = 3*m - n + 20, 2*m = 5*n - 35. Let q be t(m). Calculate the greatest common divisor of 243 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-5 + sqrt(475) + sqrt(475)*-4)*-2)**2.\nAnswer: 600*sqrt(19) + 17204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -450961, -450959, -450957, -450955?\nAnswer: -450953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2946, -4762, -6578?\nAnswer: -8394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -a8da (base 16) in base 6?\nAnswer: -532042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4918 a factor of 73649186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {u: 1, h: 1, k: 1, t: 1, r: 4, w: 5}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -19 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 115*p - 412 + 412 in the form d + w*p and give w.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**5\/4 + 25*w**4\/4 + 87*w**3\/2 + 91*w**2 + 62*w = 0.\nAnswer: -2, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*o - j - 3 = 0, -2*j = 4*o + 2. Suppose 4*c + 2 = -o. What is the closest to c in 5, -1\/8, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s + 1. Let t(l) = 9*l + 7 - 4*l - 7*l. Let g(x) = 6*c(x) - t(x). Let v(n) = -7*n - 1. Give 5*g(u) - 3*v(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -120, -159, -198?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 divided by 41?\nAnswer: 264\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 735, 1455, 2151, 2811, 3423, 3975?\nAnswer: 4455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 746.5266 millimeters in micrometers?\nAnswer: 746526.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111021 (base 4) to base 8.\nAnswer: 2511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/((-42)\/(-12)) - 5. Put m, -13, 2 in descending order.\nAnswer: 2, m, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = -4*j. Suppose j = -2*q + 3 + 3, 2*q + 4 = 5*a. What is the third derivative of 4*d - 6*d - 5*d**4 + 5*d**a + 2*d wrt d?\nAnswer: -120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 - 4*o**2 + 3*o**2)*(-3*o**3 + 0*o**3 + o**3) - o**5 + 3*o**5 + 5*o**5 + (-4*o + 4*o + o**5)*(6 + 18 - 4) + 4*o**2 - o**5 - 4*o**2.\nAnswer: 22*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 4 - d + 8 as z*d + s and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*(-1 + 3 - 1). Suppose d = -0*s - s - 4. Let h(g) = -g**2 - 5*g - 2. Let u be h(s). Solve n - 4*n - u*p = -14, 22 = 5*n + 3*p for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 901 = 985. Solve -5*c + 9*c + p = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 27 (b) 0 (c) 351 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-4)*-2*(-4)\/6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -521 - -523. Suppose 0 = -s + w + 1, 0 = -f*w - 0 + 8. Let d(g) = 5*g**2 + 6*g + 4. Let n(q) = -4*q**2 - 5*q - 5. Calculate s*d(c) + 6*n(c).\nAnswer: c**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 1 + 7 - 10*y**2 - 2 - 16*y**2 + 9*y to the form s + k*y**2 + z*y and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, j: 2, u: 2}. What is prob of sequence ul?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 26 = -478. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*a = -275, 2*k - 250 = -k - a. Let l = k + -78. Let z(d) = -d + 9. Calculate z(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s + 30*s**4 - 3*s**2 + 26*s**4 - 55*s**4 + 5*s**2 + 7 as n*s + c*s**3 + a*s**2 + q + j*s**4 and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -1\/79, 10 in ascending order.\nAnswer: -1\/79, 0.1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 284 and 764102.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 14*g**2 + 17*g - 20. Let s be d(13). Which is the second biggest value? (a) -2\/7 (b) -4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4 + 4209*j**3 + 46213*j**2 + 146955*j + 104950.\nAnswer: (j + 1)*(j + 5)**2*(j + 4198)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 7*l**2 - 7*l - 8. Let u be o(8). What is the units digit of (u - -2)\/(-1)*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 403 and 186?\nAnswer: 2418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 2)*(0*d**2 + 2*d**2 - 3*d**2) + (5*d - d - 2*d)*(5*d - 21*d - 18*d).\nAnswer: -71*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -9*t - 219. Calculate f(-16).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 300 and 1560.\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*v + 1 - 8*v + 0*v - 106*v.\nAnswer: -137*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 34.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345481999?\nAnswer: 345481999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, -5, -4, -3\/10?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l + 266*l - 48*l - 100*l.\nAnswer: 118*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -316.1 + 312.1. Which is the nearest to -0.146? (a) y (b) -2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/35, 24, 0.006 in decreasing order.\nAnswer: 24, 2\/35, 0.006, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.46 - -403432553.6.\nAnswer: 403432554.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 62, 173, 348, 581, 866, 1197, 1568, 1973?\n\"Answer: -m**3 + 38*m**2 + 4*m + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 + 5688*v**2 + 2*v**3 - 5688*v**2 - 36.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 15949687?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45331329 or 45331326?\nAnswer: 45331326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 3*y**2 + y - 1. Suppose -2*z = -z. Suppose z = -o - 4*t + 2, 8 = 4*o - 0*o + 4*t. Give k(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 89.9 - 90. Sort -0.5, i, -9, 3.\nAnswer: -9, -0.5, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/10 and 41\/84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.587 and 177051.\nAnswer: -103928.937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(119)*-2*-1)\/(sqrt(7) + -2*sqrt(14)\/sqrt(2)).\nAnswer: -2*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7450274 - -3400274. Round l to the nearest 100000.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-219 - 131 + 41)*(0 - 2*l + 0) - 2 + 2 - l - 4*l + l + 5*l + (4 - 1 - 1)*(-l + l - 2*l) - 3*l + 4*l + 0*l + 2 - 2 - l.\nAnswer: 615*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccccccc. What is prob of sequence cccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 200 and 1424380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.18 + 8.78. Which is the smallest value? (a) -0.06 (b) -10 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 32445*t = 32444*t + 11, 22 = -a + 2*t for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 469\/1195 - -9\/1195. Factor -2\/5*j**2 + 12\/5 - f*j.\nAnswer: -2*(j - 2)*(j + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 143*n**2 + n - 4. Is f(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 460 + -410. What is the highest common divisor of 30 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l + 72 = 5*l. Let y = 19 + 1. Let f = y + l. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 427*p + 2*m = 423*p - 34, 3*p - 5*m - 7 = 0. Let h(i) = 32*i + 1. Let v(d) = 31*d + 1. Determine p*v(t) + 5*h(t).\nAnswer: -26*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78612887 to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-675)\/(-162) - (-1 - 1 - -6).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -47, -5, 3 in decreasing order.\nAnswer: 5, 3, -5, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.004 and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h**2. Let m(c) = -462125*c + 462125*c + 1394*c**2. Calculate l(m(f)).\nAnswer: -7772944*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7259\/12 or -604?\nAnswer: -7259\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjhjjoojhjhhj. Give prob of sequence jh.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1369 + 2686 - 1316 + 27*h.\nAnswer: 27*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: -7 + 1 + (4 - 11) + 8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 8:05 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.0061 + 339217\nAnswer: 339216.9939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ghrngnnrnhhnngdihn. Give prob of sequence hnr.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/2736 and 73\/6768.\nAnswer: 128592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29505847 is divided by 97?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i - 4. Let l be w(5). Let a = -50 + 452\/9. Which is greater: l or a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*f + 20 - 20)*(-7 - 3 + 4)*((-6 + 5 + 3)*(-2 + 3 - 2) + 2 + 2 - 1) to the form o + i*f and give i.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 767070008?\nAnswer: 2, 193, 263, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/3)\/((o*o\/(o*o**(-7))*o*o)\/o*o)*(o*o**(-1))\/((o*o*o\/o**(-3\/5))\/o))**(27\/5) assuming o is positive.\nAnswer: o**(-1611\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*t**3 - t**2 - 36*t**3 - t - 133*t**3 to r*t**2 + j*t**3 + y + h*t and give j.\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**2 - 3*u**2 + 2*u**2 + (u - 3 + 3)*(3*u - 6*u + 2*u) + u**2 + 4*u**2 - 2*u**2 - 2*u**2 + 2*u**2 - u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3890473532 to the power of 1\/2, to the nearest integer?\nAnswer: 62374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004592691 to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of 0*d + 3\/2*d**3 - 15*d**2 + 0 - 11\/12*d**4. Is x(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 297, 1313, 3035, 5463, 8597, 12437?\nAnswer: 16983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29962843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtyurrrttpy. What is prob of picking 1 u and 1 t?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203500 is divided by 370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 26*z**2 + 232*z + 9. Let k be f(-7). Which is greater: 35\/38 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 - 3 + 6)*(4*h + 0*h + 5*h) + 2 + h + 0*h - 5*h)*(3 - 3 + 2)*(0 - 1 + 6) to c*h + g and give g.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 379997 to the nearest integer?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.228, 3, 4\/3, 0.3, 2\/5, -0.07?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*x = 3*y - 28, -3*y + 2*x = -56. Let a(g) = 3*g - 1. Let h be a(1). Solve h*m = -s - 1, y = -3*m + s - 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + -1*sqrt(76) + sqrt(76) - sqrt(76)).\nAnswer: -6*sqrt(19) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 2*q**2 - 12*q - 17. Determine u(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 201*i - 153*i + 10 to s*i + c and give s.\nAnswer: -354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3018*h**3 - h**2 - 440*h wrt h.\nAnswer: 18108*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -2*s**2 + 27. Let j(t) = -33*t - 10*t + 65*t. Give v(j(k)).\nAnswer: -88*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.54824 - 0.9552. Let w = d - -10.5. Round w to 4 dps.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lv when two letters picked without replacement from {z: 3, u: 1, l: 1, v: 3, b: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -266 - -264. Is (y - 2\/(-1)) + -7 + 6948 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 2*g - 23. Calculate the remainder when m(-7) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 62244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3189.63 + 3147. Round j to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*v - 13 - 13 = 0, -3*a + 5*v + 30 = 0. Let o(z) = -3 + z**2 + 0*z**2 + 5 + 3 + a*z. Let g = 2455 + -2459. Determine o(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -u**4 + u**4 - 246*u**2 - 4*u**6 + 44*u**6 wrt u.\nAnswer: 4800*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 15 (b) 34 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 810908?\nAnswer: 2, 7, 28961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wvs when three letters picked without replacement from {x: 1, s: 1, w: 1, k: 1, v: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1782 - 1784. Sort t, -4, 26, 3 in ascending order.\nAnswer: -4, t, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -70018.\nAnswer: -70015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 9:52 AM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-2)\/38)\/(-1)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141025 is divided by 1856.\nAnswer: 1825","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -4.8. Let g = -0.2 - a. Let s be (-2)\/3 - (-2)\/2. What is the third biggest value in 5, s, g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4)*-2 - -1. Suppose 0 = -l + 2. Find the third derivative of -q**5 - s*q**5 + 2*q**5 - q**2 + 0*q**l wrt q.\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g - 10. Let h(p) = -22*p + 731. Let t be h(33). What is a(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1887083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*-86*(-2)\/16. Suppose x + 7 = -4*g, -3*x - g = -5*g - o. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/231*21\/(-3).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5*(sqrt(2) + (sqrt(16) + sqrt(96)\/sqrt(6))\/sqrt(8)) + (sqrt(72) - -2*sqrt(72))*3.\nAnswer: 69*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -12. Suppose 0 = -v*h - 3*k + 27, 4*h - 16 = 4*k + 28. What is the highest common divisor of h and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/11531 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1310\/3013 - (-8150)\/(-230)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -6*q - 10 - 19 - 19*q + 4 + 30*q**3 - 25*q**2. Let m be (((-2)\/1)\/2)\/((-150)\/15 - -11). Let k(r) = -r**3 + r**2 + r + 1. Give m*h(j) - 25*k(j).\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d**2\/d)\/d))\/d**(-4\/7))\/((d*d\/d**(-2\/5))\/d**(-6)) assuming d is positive.\nAnswer: d**(-239\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000673 rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 44*k**2 - 6*k + 3. List the prime factors of x(3).\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i*v**4 + 64*i*v**2 + 2*i*v + 20*i + 1883*v**2 + 86*v - 3 wrt v?\nAnswer: -12*i*v**2 + 128*i + 3766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 2*z - 6 = 0. Let j be (z - 0 - 3)\/(-4). Factor 0 - 2\/3*q**4 - 1\/3*q**3 + j*q**2 + q**5 + 0*q.\nAnswer: q**3*(q - 1)*(3*q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 42 = 38. Suppose 3*h = -w + 3*w - 12, -3*h + 5*w = 12. Sort h, -6, j.\nAnswer: -6, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -2*v**5\/35 - v**4\/14 + 8*v**3\/7 - 4*v**2\/7 - 32*v\/7 - 25. Solve j(w) = 0 for w.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + (-61)\/(-6) - (-1)\/(-6). Suppose 5*x = -z*t, -3*t = x + 7 - 13. Sort -1, t, -2 in increasing order.\nAnswer: -2, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 5\/26640039 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 7:15 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3113 - -2203300?\nAnswer: 2213013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1857014 = 1857015?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.398 to one decimal place.\nAnswer: 12.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 23210505.7 rounded to the nearest 100000?\nAnswer: 23200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 18 - 54*v**2 + 3*v - 4*v - 14 + 4*v in the form h*v**2 + c + l*v and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-45)*30\/20*14\/3815*-5?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -i - 14 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.4, -12, -4\/7, -0.5, 0.1, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12719 - -21259. Suppose 0 = 5*s - 2*j + x, 3*s + 4*j = -348 - 4750. Is (2\/(-2) + -3)*s\/8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 95281 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 6 = 3*u. Let t be (3 - 9)*(-10)\/u. Suppose 0 = -2*z + n + 8, -4*z + 5*n = 2*n - t. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -129 - -196. Suppose -5*m - 451 = 2*u, 4*u = -m + x - 942. Is (u\/(-10))\/(1\/5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, 645, 12, -759?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 - 1101?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2583 and 2770985.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -37*g - 94. Let n be i(-5). Suppose 184 + n = -z. Which is bigger: -274 or z?\nAnswer: -274","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -10*m - 2. Let r be l(-3). Suppose -6*t + 4*t = -r. Let z = 26 - t. Calculate the remainder when 47 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 54\/(-42) + (-4)\/(-14). Let h be -3 + (-24)\/(-4) + 3 + f. Suppose 6*t = t, -h*q - 3*t + 40 = 0. Solve 5*s + q - 3 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (8 + 12 - 10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) 0.02 (c) -3\/2 (d) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + b + 2 - 3*b)*(-10 + 14 + 7 + (1 + 0 + 1)*(1 - 2 + 3))*(-2 + 2 - 3).\nAnswer: 45*b - 90","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**9*w)*w**(2\/19))**(-3\/10) assuming w is positive.\nAnswer: w**(282\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (104 - 80) + 24 - 111\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4937499 to the nearest integer?\nAnswer: 2222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -415*p + 3. Let h(m) = -227836*m + 1648. Give 3*h(k) - 1648*u(k).\nAnswer: 412*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5584 + 42200 - 16049 + 20318 + 57988)*(2*p + p - 4*p) to s + v*p and give v.\nAnswer: -110041","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + 0 + -2 - -2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/10*80\/24. Let w(a) = 5*a**2 - 4*a + 3. Is w(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gs when two letters picked without replacement from mstgtxmb.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 209662234 - 7?\nAnswer: 209662227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 118 - 113. Let g be (-3)\/(-6) + (-50)\/(-4). Put -3, l, g in descending order.\nAnswer: g, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 229*r - 2. Let p(m) = 688*m - 4. What is 11*a(q) - 4*p(q)?\nAnswer: -233*q - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3480 and 8990?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/13)\/(w\/(w*w\/w**(1\/2)))*(w*w\/(w\/(w*w\/(w*w**(-1\/3)))*w))**13)\/(((w*w**(2\/7)\/w)\/w)\/(w**(-3)*w)*(w**1)**(-50)) assuming w is positive.\nAnswer: w**(36419\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75 divided by -1.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/((1 + -2)*-8). Let c = -0.03 + -0.07. Let m = -67 + 62. What is the nearest to c in l, 1, m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, c: 5, q: 1, y: 1, d: 3}. Give prob of picking 4 c.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/24 and 53\/172.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 772*o**3*w + 36*o**3 - 151*o**2*w - 379*o**2 + 5*w - 5 wrt w.\nAnswer: 772*o**3 - 151*o**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -175 - -379\/2. Let d = 132\/7 - 115\/7. What is the common denominator of d and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(56)\/sqrt(2))\/sqrt(4)) + (sqrt(7) + -1)*4 - (0 + sqrt(63) + 2) - (-3 + 0 + 1*sqrt(252) + sqrt(252)*-1*3).\nAnswer: -3 + 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/9)*d*d*d*d**(-5))\/(d**(6\/11)*d*d\/d**0) assuming d is positive.\nAnswer: d**(-329\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 33 - -20) + 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -3, -37, -6 in descending order.\nAnswer: 5, 1, -3, -6, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 25, -0.02, 1, -3, -1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*w + 708 = 81*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a millennium in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1076, 8138, 27182, 64196, 125168, 216086, 342938, 511712?\n\"Answer: 998*v**3 + 3*v**2 + 67*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 1. Suppose -l + 4*z = 6, 8*z = -l + 3*z + 3. Let g(i) = i**2 - 7. Let f(b) = l*g(b) - 14*d(b). Let k(j) = -10*j**2. Calculate f(k(s)).\nAnswer: -200*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 9:46 AM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 14) in base 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2348440, -4696920, -7045400?\nAnswer: -9393880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -77 + 149. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a milligram in nanograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(30*(-5)\/4*18\/(-135))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7136 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 900*v**4 - 2548*v**3 - 387279*v**2 - v + 1 wrt v?\nAnswer: 21600*v - 15288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-1)\/2*4*23\/(-690)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (13\/65)\/((-5)\/(300\/18))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 3. Let w = 1.8 - z. Which is the nearest to w? (a) 3\/4 (b) -0.1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.25, -953, 5 in descending order.\nAnswer: 5, -0.25, -953","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214789 + 242177 = 168*n - 394626. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 8*k + 4. Determine c(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - d + 21. Let j = d - 7. Solve -5*u + 13 - 38 = j for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 262.1919 litres to millilitres.\nAnswer: 262191.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 - 28. Let l be 4 + (5 + -3)\/(2 - n). Let i be (-5)\/5 - 3*-9. Solve 3*y + 2*q = 6*y + 18, -l*y + 2*q = i for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -62*q. Let k(r) be the second derivative of -r**4 - 4*r + 28. Determine k(c(a)).\nAnswer: -46128*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (222\/12 - 16)\/((-3)\/6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q - 22 + 22 + 10*q.\nAnswer: 20*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 4*k - 29, 0*b + k - 21 = -4*b. Let o(x) = x**2 - 6*x + 2. Let t(n) = 1. Let i(w) = -o(w) + t(w). What is the units digit of i(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 less than 20552.61?\nAnswer: 20513.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1. Suppose w + 4*g + 8 = r, -w - 21 = 5*g - 8. Let t be (-4)\/(3\/(-6)*1). Solve 5*l - t = w for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23100 - 2341. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1703.478 - 3556.9.\nAnswer: -5260.378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*k**3 - 12*k**4 + 49*k**3 - 63*k**3 + 1 - k to w*k**3 + d*k + b + r*k**4 + j*k**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -44326165 rounded to the nearest ten thousand?\nAnswer: -44330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 5 = 4*w, 2*w + 15 = 22*c - 25*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 5:48 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 152 and 1552?\nAnswer: 29488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9338?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 66.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 5*j - 5. Let p be x(-8). Suppose p = 3*z - 17. Let l be (-620)\/(-35) - (-4)\/14. Calculate the highest common divisor of l and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 5:57 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*w**2 - 330\/7 - 116\/7*w.\nAnswer: -2*(w + 3)*(w + 55)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -1111*p + 4606. Is j(-45) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t - 11144*t**3 + 0*t - 6*t - 10399*t**3 - t in the form z*t**2 + r*t**3 + s*t + n and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -490919 divided by -1\nAnswer: 490919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 18, 174, 596, 1416, 2766, 4778, 7584?\n\"Answer: 22*v**3 + v**2 - v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lv when two letters picked without replacement from lmmolvlvmbmmuvmmmm?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 608*m - 603*m = -15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61\/4 - 708\/(-944).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of r**7\/210 - r**3\/2 - 3*r**2\/2 + 1. Let h(d) be the second derivative of v(d). What is the first derivative of h(x) wrt x?\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -113200 + 1205?\nAnswer: -111662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -14*l - 48. Let u(j) = 594*j - 5943. Let i be u(10). What is a(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 + -36. Suppose -10*p + 3*p + 42 = t. Suppose m = z - 0*m - p, 4 = -m. Solve -3 + z = c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1240 is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 4*b - 3*b. Suppose 2*r - 2*p = 70, 4*r - b = r - 2*p. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (7 + -1)) + 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3592.5089 and 0.2.\nAnswer: 718.50178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14424, -14605, -14914, -15357, -15940, -16669, -17550?\n\"Answer: -h**3 - 58*h**2 - 14365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 23883*a**3 + 6*a**2 + 18*a - 152. Let f be c(6). What is f rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -10*m + 1. Let q(a) = -41*a + 4. Let z(v) = -2*q(v) + 9*u(v). Let s(b) = b**3 + b**2 + 2*b + 1. Let p be s(-1). Give z(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2176 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 12*x**2 - 10*x - 8. Let p be a(11). Suppose -4*z + 42 = -p*z. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v - 306 + 152 - 406. Calculate the remainder when 336 is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvb. What is prob of sequence bv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w - 3*w + 4*w)*(-209 - 756 - 915 + 514 - 651) to the form d + j*w and give j.\nAnswer: -8068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a year in months?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 9 = 4*m, 7 = 3*m - 0*q + q. Sort m, -2, -0.7 in decreasing order.\nAnswer: m, -0.7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/5 + 22\/(-55).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.012 + -11.512. Let j = s - -12. Let o be 1*(0 + -5 + 4). Which is the closest to 2\/7? (a) j (b) o (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i - 1. Let h(q) = -4*q**2 - 5*q - 5. Let m be (3 - 4) + (-9)\/(-3). Suppose -m = 5*g + 3. Let u = 1283 - 1278. Determine g*h(j) + u*w(j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 8*d - 7*d - 66.\nAnswer: d - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -15104*b**3 + b**2 - 10*b + 24. Let t = 69 + -81. Let x be y(t). What is x rounded to the nearest one million?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 3*i - 26725, -f - 2*i = -18270 - 8460. What are the prime factors of f?\nAnswer: 2, 5, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -92516*g**2. Let s(n) = 1686*n**2. Give s(z(b)).\nAnswer: 14430828491616*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -9*v + 81. What is the third derivative of 4*i**3 - 5*i**3 - 4*i**3 + i**3 + i + 19*i**v + 5*i**3 - 68*i**2 wrt i?\nAnswer: 456*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12511748188 - -12\nAnswer: 12511748200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38122*r + 136136 = 35028*r for r.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 196*p + 19. Let w(y) = -783*y - 71. Give -11*k(v) - 3*w(v).\nAnswer: 193*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -339184210*m - 2*m**3 + 3*m**2 + 339184210*m + 0*m**3 - 3*m**2.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -724 + 724 = 11*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, p: 1, b: 1, w: 1, s: 2}. What is prob of picking 1 p and 1 w?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -16357 = -801454\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by 27.\nAnswer: -23\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 372 and 682?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -89*j + 9126. Let c(k) = -k**2. Give d(c(t)).\nAnswer: 89*t**2 + 9126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 12*v + 4. Give h(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8074607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72)*-2 + -5 + -1.\nAnswer: -12*sqrt(2) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 396033, 792066, 1188099, 1584132, 1980165?\nAnswer: 2376198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/3 (b) 3 (c) 0.06363\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4*k + 7, 31 - 16 = -3*k + 4*d. Let l = -2\/9 + -1\/9. Which is the nearest to l? (a) 5 (b) k (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide -28*(-18)\/(-4)*872\/(-327)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 3*r**2 - 4*r - 1. Let g(d) = d**3 - 3*d**2 - 3*d. Let b(a) = -2*f(a) + 3*g(a). Suppose 0 = -5*s - 10, 5*m - s - 21 = 2*s. Give b(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1898297\/8 less than 237287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2553 and 150.\nAnswer: 127650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -140147645 divided by -28029529\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 2*a**2 - 3*a + 1. Let w(h) = 4*h**2 + h. Let o be w(1). Let g(k) = -k**3 + 6*k**2 - 6*k + 2. Let i be g(o). Calculate n(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a tonne in kilograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of h**6\/360 + 11*h**5\/120 + 11*h**4\/24 + h**3 - 2*h - 38. Let u(v) be the third derivative of n(v). What is u(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of y**8\/2856 - y**6\/1020 - 2*y**2 + 19*y. Factor o(a).\nAnswer: 2*a**3*(a - 1)*(a + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -h**3\/3 - 9*h - 2. Let p(i) = 9*i**2 + 10*i - 7. Let l(b) = 4*b**2 + 5*b - 4. Let c(o) = 7*l(o) - 4*p(o). What is c(f(s))?\nAnswer: -32*s**2 + 10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(5\/4)\/c**(30\/11))\/(c*c**(-1\/20)*c*c)**(2\/5) assuming c is positive.\nAnswer: c**(-2923\/1100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 85*y + 28*y + 78*y + 103*y as q*y + w and give q.\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 335 and 878 - -116 - (2 + -13).\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + u + u - 16 = 0, 0 = -4*u. What is the hundreds digit of ((-4)\/o)\/(820\/274 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7 - 6)\/((-2)\/(-12)). Let z = 12 - g. Solve -5*o + 14 = 2*c - 0*c, c - z = -2*o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1003230220 (base 5) to base 4\nAnswer: 13222101321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/4 - (3 + -4). Suppose v = 2*v + d*s - 12, 5*v + s - 12 = 0. Find a, given that v - 4*a**2 - 1 + 5*a - 3 - 4*a**3 + 5*a**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -810 = -32*s + 5*s. What is the highest common divisor of 105 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3086579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**3 - 312*i + 1126. Give l(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -45*p**3 + 11*p**2 + 9*p - 57. Let u(h) = -23*h**3 + 6*h**2 + 5*h - 28. Give 11*u(m) - 6*w(m).\nAnswer: 17*m**3 + m + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2683639 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.071*1237.\nAnswer: -87.827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1951, -1952, -1953?\n\"Answer: -h - 1950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/17982 and -5\/934398.\nAnswer: 25228746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(2 - (-21)\/(-9)). Suppose -5 = -o, -5*s + l*o = -o - 5. Let y(p) = p + 45. Let k be y(0). What is the highest common factor of k and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -6*((sqrt(96) - sqrt(96)*-1*-6 - sqrt(96)) + sqrt(96))\/sqrt(2))*-2)**2.\nAnswer: 4800*sqrt(3) + 172900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-33)\/(-22)*(-6596)\/(-3). Suppose t + 11376 = 11*n. What are the prime factors of n?\nAnswer: 2, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 2)*(-3*c + 0*c + c) + 5*c + 0 + 0 in the form i*c + n and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 56521439 divided by 13\nAnswer: 4347803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 9 - 14) + 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 554763 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 14*c**2 - 25*c - 9. Let r be v(-12). Suppose r*u = 10*u - 35. Solve -4*i - 26 + 10 = u*y, -5*i - 2*y - 20 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*u - 129*u - u**3 + 236*u.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 8:03 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31\/11*k**2 - 17\/11*k**3 + 3\/11*k**4 - 23\/11*k + 6\/11 = 0. What is k?\nAnswer: 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2083650?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 984440, 1969067, 2953694, 3938321?\nAnswer: 4922948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + w - 20 = 0, 82*w - 32*w + 35 = b + 40*w + 213 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -4*n + 2*j, 5*n + 0*j + 25 = j. Let k(g) = g**3 + 7*g**2 + 11*g + 2. What is the lowest common multiple of 3 and k(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48070.81976 less than -3.71?\nAnswer: -48074.52976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 6948 = 4*q - 6896, 2*q + 41 = -5*z for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3902*x - 1142*x + 362340 = -699*x + 1694*x for x.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 0*r + 2*r)*(0 + 0 - r)*(-64 + 27 - 45 - 2 + 4 - 1 + (0 + 3 - 1)*(-3 + 2 - 1) + 1 - 4 + 2).\nAnswer: -172*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -2681, 3 in descending order.\nAnswer: 3, 0.3, -2681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/7, 0, -1, 1\/2, 3 in ascending order.\nAnswer: -1, -6\/7, 0, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2760 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1659454?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/4 and 17\/4050?\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2610 - 1962. Is 4 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 - 0.074153264\nAnswer: -0.184153264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -0.0846.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(3*d - 1 + 1)*(-d + d**2 + d).\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6008*a**3 - 12045*a**3 + 5990*a**3.\nAnswer: -47*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51735175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -123\/5 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -0.3, -2272?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a - 5*a + a)*(-58*a - 46*a - 2*a) + (0*a - 2*a + a)*(0 + 2*a + 0) - 4*a**2 + a**2 + 0*a**2 to w*a + v + x*a**2 and give x.\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 2:01 AM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.63874349 rounded to 1 decimal place?\nAnswer: -32.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -2c0091?\nAnswer: 2c0092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -721*x + 170*x - 4 - 128*x + 1 + 1 to the form u*x + h and give u.\nAnswer: -679","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -11. Let k = j - -13. Does 8 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 21 + -31 + -16.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48517.025827 - -48517. Round v to 4 decimal places.\nAnswer: -0.0258","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -117, -185, -251, -315?\n\"Answer: k**2 - 71*k - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -316959483\/14 + 22629176. Let x be (-753)\/6*86\/1. Let w = x - n. Find the common denominator of w and 13\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from yyykyyyyykyk?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2064 divided by -16\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13946\/16497 + -1\/1269. What is the common denominator of y and -73\/9?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44042 = -17298939*b + 17299661*b for b.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*a + m - 11 = -17*a, -2*a = 2*m + 10 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 0 + (5 + 2 - 5)*(6 - 3 - 4))*(7656 + 7656 - 1800*n**2 - 15312).\nAnswer: -1800*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 302311102 (base 5) to base 15\nAnswer: 18e752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**21\/(b\/(b**(-2)*b*b))*b\/b**(5\/7)*b**26 assuming b is positive.\nAnswer: b**(324\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 4:33 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 132?\nAnswer: -396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -118 + 130.4. Let r = -15 + 7.6. Let t = r + d. Which is the closest to -0.1? (a) 12 (b) t (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30\/37 - -189\/370. Let z be (-5)\/((8 - 153\/18)*65). Let r be (4\/2)\/4*-2. What is the closest to r in g, 2, z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(98) - (sqrt(98) + -1)) + -5 + 1 + sqrt(98) - (3 + (sqrt(98) - (5 + 1 + sqrt(98) + sqrt(98)) - sqrt(98))))**2.\nAnswer: -210*sqrt(2) + 907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/5 (b) 6 (c) 5060 (d) -4 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.47 in -4, -6022.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -95504 not equal to -95492?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 11:12 AM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -15*j - 8. Let t(v) = v**3 + 2*v**2 - 3*v - 2. Let q be t(-3). What are the prime factors of y(q)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-2)\/(-36) + (-4)\/30?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**5 + 127872*a**4 - 3*a**2 + 76*a + 36107 wrt a.\nAnswer: 20*a**3 + 1534464*a**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 times 0.04749?\nAnswer: -0.0056988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 9, 285 in decreasing order.\nAnswer: 285, 9, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -3*y + 2*r - 4, r + 5 = 0. Solve -3*n + 12 = -2*c, -5*n = -5*c - y - 18 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -97, 98, 293, 488, 683, 878?\n\"Answer: 195*q - 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*m + 16217 + 27431 = 197*m + 327*m for m.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1.2, 2\/5, 3, 2\/9, 11\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.044? (a) -5 (b) 1 (c) 0.5 (d) -110\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 524, 1065, 1620, 2195, 2796, 3429, 4100, 4815?\n\"Answer: j**3 + j**2 + 531*j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (0 - -3)) + (3 - 1) + -10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 37, -2, 3 in descending order.\nAnswer: 37, 3, -2, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a0 - 4?\nAnswer: -2a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 8*z**3 + 27 + 1\/4*z**4 + 13\/360*z**6 + 0*z**2 - 19\/120*z**5 + 0*z. Let y(d) be the third derivative of i(d). Factor y(q).\nAnswer: (q - 1)*(13*q - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 1)*(2 - 2 + u)*(35*u**3 + 69*u**3 - 16*u**3) in the form p*u**3 + x + w*u + d*u**2 + z*u**4 and give z.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 9 = 0, 0*h + 4*x - 16 = -h. Suppose -h*l - 3*u = -66, -5*u = 4*l - 24 - 38. Is l a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 378, 7, 111, 5, 2 in increasing order.\nAnswer: 2, 5, 7, 111, 378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 48c68?\nAnswer: -48c63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11067?\nAnswer: 3, 7, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(3\/8))\/q*q)\/(q\/(q\/q**(2\/5))))**(-28)\/((q**(-1\/3))**(3\/23)*(q*(q\/q**(-1\/3))\/q)**(-1\/48)) assuming q is positive.\nAnswer: q**(-25787\/4140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 276 by 6.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102159 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 times -27.9?\nAnswer: -3.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 108791821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -6, 6, -4661, 51.\nAnswer: -4661, -6, -2, 2, 6, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/28 + 48\/14. Let c(h) = h**2 - 6*h + 8. Let g be c(x). Suppose g*q + 108 = 4*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, e: 4, s: 3, w: 1, g: 1}. What is prob of sequence lw?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -226052205 + -1?\nAnswer: -226052206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3219*a = 2*k + 3220*a - 4, 3*k + 2*a = 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 2)*(3 + 2*a - 3 + (1 + 1 - 3)*(a - a - 2*a)) to c*a + y and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/3871452 and 41\/348.\nAnswer: 112272108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -841.0601871 - -0.4\nAnswer: -840.6601871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 10:55 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15573.\nAnswer: 3, 29, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(-2)*(-4 - (-80)\/15). Calculate the smallest common multiple of 3 and a*(-4)\/(-6) - (0 - 12).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a tonne in kilograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, z: 6, l: 1, y: 2, g: 8}. Give prob of sequence gg.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 360*s. Let m(x) = x + 1521262 - 1521262. Calculate m(p(f)).\nAnswer: 360*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -0*r - n - 146, 3*r - n = 110. Let p be ((-39)\/(-6) + -2)*24\/r. Solve -2*b + 5*a = p*a - 18, 0 = 5*a + 25 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 (base 4) in base 9?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 7:42 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 p when two letters picked without replacement from {k: 2, j: 2, c: 1, u: 4, p: 1, z: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*y**3 - 4*y**3 + 7*y - 3*y**3 wrt y.\nAnswer: -168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = 6*f + 7 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32647141 + 117?\nAnswer: 32647260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292 = -14*j + 278 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -20*j - 16. Let w(t) = -4*t + 7. Let c(u) = 2*u - 1. Let q(a) = 4*c(a) + w(a). Give 16*q(r) + 3*y(r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 810, 2891, 6438, 11517, 18194, 26535, 36606, 48473?\n\"Answer: 11*n**3 + 667*n**2 + 3*n + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17.27 and -0.49.\nAnswer: 8.4623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51 + -54. What is the closest to -1 in d, 4\/5, 3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7630650900 rounded to the nearest one million?\nAnswer: 7631000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 259 + 5. Calculate the highest common divisor of 154 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 12*x**2. Let w(s) = 14*s - 748. Determine w(m(k)).\nAnswer: 168*k**2 - 748","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 23?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6872, 6862, 6852, 6842, 6832, 6822?\nAnswer: 6812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 783 divided by 1?\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -h - 35*h**3 - h + 34*h**3 as x*h + q*h**2 + v + o*h**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2258 + x**3 + 20*x**4 - 2258 - 5*x**2 - 15*x**2 + x wrt x.\nAnswer: 480*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5052589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/57007 and -46\/45501.\nAnswer: 4959609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.2, -2, -41, -576, 0.1 in decreasing order.\nAnswer: 3, 0.2, 0.1, -2, -41, -576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3925703 (base 11) to base 12\nAnswer: -233b881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 126 = -0*f. Calculate the highest common divisor of f and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -9*u**4\/4 - 16*u - 2. Find the first derivative of c(i) wrt i.\nAnswer: -27*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1694 and 82549159?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (15 - 37) + 11\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 160277 (base 15) to base 14.\nAnswer: 1d98d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**6\/180 - 449*b**5\/90 - b**4\/36 + 449*b**3\/9 - 244*b**2 + b. Factor s(w).\nAnswer: 2*(w - 449)*(w - 1)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13396128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 3*f + 18250, 37*g + f - 54750 = 34*g. What is g rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5)*r\/((r**2\/r)\/r))\/(r**(-2)*r\/(r**(-1)*r))*r**(3\/5)*r**(1\/8)\/r*(r**1*r)**(3\/34) assuming r is positive.\nAnswer: r**(-2107\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 851221 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6, 0, 591 in descending order.\nAnswer: 591, 4, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, d: 2, t: 1, o: 6, v: 5, a: 1}. What is prob of sequence uu?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-59)\/(-413))\/(2\/7)*(6\/(-2) + -107).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -4*m - 6*p + 2, 8 = 4*p for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -464*w. Let h(g) = -84217*g. Determine 908*c(m) - 5*h(m).\nAnswer: -227*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18*(8\/12 - 0\/(-3)). What is the units digit of 1\/((1\/(-237))\/((-4)\/z))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + w - 154 = -y, 7*y - 3*w - 1174 = 0. What is the remainder when y is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-22)\/(-28) - 16\/56. Which is the closest to 0? (a) s (b) 2\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/11620 and -101\/9296?\nAnswer: 46480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.5 (b) 3631 (c) -2\/9 (d) -0.0953\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 208822?\nAnswer: 208825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 5 + 1)*(-5 + 4 - 2)*(-2 + 1 - 1)*(-24*y**4 - 10*y**4 - 129*y**4) to the form p*y**4 + g*y + u + h*y**2 + k*y**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 6)\/(0 - (-1 + -1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 5, 1, -1, -0.047?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 499031*f. Let t(g) = -5*g. Calculate t(x(d)).\nAnswer: -2495155*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -34 (c) 23 (d) 1\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**2\/4 + 27*n\/4 = 0?\nAnswer: 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 14653940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*r**2 + 3*r**2 + 6 + 26 + 19*r**2 wrt r.\nAnswer: 36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147481885?\nAnswer: 5, 17, 199, 8719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7288108, -14576216, -21864324, -29152432, -36440540?\n\"Answer: -7288108*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 4*m**2 + 3*m - 1. Determine a(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 6 = -2*x. Let j be (-1)\/8 + (-2277)\/(-552). Solve j*c = 5*y - 24 + x, 0 = c + 4*y - 21 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57 + 72. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269*f = -220*f - 10792201. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3 = -4*r + 49, -5*g = r + 92. Put -5, 5, g in ascending order.\nAnswer: g, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1994323126 to the nearest 100000.\nAnswer: 1994300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bll. Give prob of picking 2 l.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 5*a. Let d = -13835 - -13832. Let y(j) = -j - 2*j - j**3 + 0*j**3. Give d*f(q) - 5*y(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 0.5, -27, 439, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 588*p**3 - 3*p**2 + 1001*p wrt p?\nAnswer: 3528*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (69\/9)\/((-213923)\/(-786)).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003765 to six decimal places.\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 369779765?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) -1282.8 (b) 0.1 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 0*y - 2*y)*((-31 + 20 - 56)*(y - 2*y - y) + y + y + 0*y).\nAnswer: 136*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 2:00 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v - 5. Let j be q(5). Let r = j - 12. What is the lowest common multiple of 7 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 18*d**2 + 55*d + 36. Is q(19) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0*a + 3*q = -9, 2*a + 4*q - 12 = 0. Let o = a + 25. Is 11 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 5:43 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*z - 624*z = -18499 + 23019 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 3. Let y be -2*-1*(-2)\/x. Suppose q = -1 - y. Sort 4, 2, q in descending order.\nAnswer: 4, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4632\/690 - 8 - (-24)\/20. What is the smallest value in 1\/13, 0.5, 27, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 - 1188*b + 1192.\nAnswer: -4*(b - 1)*(b + 298)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 14 = 5*d, 3*d - h = 4*h - 14. Let f be -6 + (0 - (-2 - d))*1. What is the nearest to f in 10, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j - 3 + 2 + 3*j**3 - 2*j**3. Let f be i(2). Solve -f*q = -8*q - 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1217 = -37*h - 773 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 5788541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - k**2 - 3*k)*(4 + 0 + 4)*(15*k + 6*k - k + 1 - 1 - 2*k + (0 - 1 + 0)*(-3 + 3 - k)) as f*k + z*k**2 + t + a*k**3 and give a.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((-2)\/14) + 2. Suppose 3*o + 0*o = g. Solve o*r + 3*u + 3 = 0, -3*u = -5*u + 8 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**8\/x**(4\/5)*x**(1\/2)*x*x*x**(2\/21)\/x assuming x is positive.\nAnswer: x**(1847\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17414 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 14*b. Let t(z) = -7*z**2 - 9*z - 9. Let p(o) = 3*o**2 + 4*o + 4. Let q(r) = -9*p(r) - 4*t(r). What is q(s(y))?\nAnswer: 196*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -1090 + 97. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13737471 and 10989?\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*u**2 - u**2 - 29*u + 32*u + 10*u**2 + 13*u**2.\nAnswer: 9*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22758.2 - -22758. What is the fourth biggest value in -16, c, -1\/4, -181?\nAnswer: -181","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*a = -2*n - 79, -a = -2*n - 33. Calculate the highest common factor of a and 2507.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19085\/(-1388) + (-14)\/(-8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**3 + 7*o**2 - 8*o - 794 + 797 + 3*o**3. Calculate a(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 3*f - 7 - 8, 3*o - 11 = -2*f. Suppose 0 = -5*r + o*h + 195, -4*r + 60 = 5*h - 59. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -116 + 68.9. Let k = o - -50. Let g = k - -0.1. Which is the biggest value? (a) 2\/3 (b) g (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.09 + 0.09. Let f = -2 - -1. Let r = -0.97 - -0.77. Which is the third smallest value? (a) f (b) r (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 p, and 1 x when four letters picked without replacement from nnpexp.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 2\/19, 0.07, 4 in decreasing order.\nAnswer: 4, 2\/19, 0.1, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6c - -1722?\nAnswer: 1791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 3788457.\nAnswer: 11365371","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 minus -0.06?\nAnswer: -11.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of 0*i**3 + 0*i**2 + 0 + 1\/12*i**4 - 3\/20*i**5 + 4*i. What is the third derivative of u(y) wrt y?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313260217.\nAnswer: 47, 6665111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-5) + 0)\/(-38 - -37)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 7:41 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 7*l**2 - 5*l - 8. Let a be 4 + (-2 - -3) + -2. Let c = 3 + a. Let x be p(c). Are -7\/4 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 5390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l - 3. Suppose 21 = 4*c - 27. Calculate the remainder when n(5) is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.2, 2, 20?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13.4 + 13. Let x = d + 8.5. Let s = x + -9. Which is smaller: -0.2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1355990194*x**4 + 1369158681*x**2?\nAnswer: -32543764656*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**2 - 18390*y - 55188 = 0?\nAnswer: -3, 9198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 - 22. Let h = 20 - t. Suppose 6*b - h*b = -56. Calculate the smallest common multiple of 8 and b.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, 97, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38581487 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 54629162 a multiple of 237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w - 9. Let a be p(-4). Let z be (a - (-2)\/(-2)) + 2. Suppose z = -d + 3*b + 21, 2*b + 62 = 4*d + b. What is the highest common divisor of 6 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -n**4\/12 + n**3\/6 + 2*n**2 + 337*n - 2. Let y be (-2)\/7 + 60\/14. Determine r(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g - 4. Let h be l(5). Let t be (-1 - (-4)\/5)*(-40)\/(-40). Which is smaller: h or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -1128*g + 14 + 85 + 272. Is n(-30) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 11087.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.301 + -1985.\nAnswer: -1984.699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 20 = -2*h, 5*l - 58*l - 5*h = 98 - 13 + 157 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1181?\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2*i - 5 = 5*p, 35 = 4*i - 5*p. Suppose 25 = -v - i. Let o = -29 - v. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 8 = d, 7 = -3*d - 5. Suppose 0*z = m*z - 8. What is the third derivative of -5*h**2 + 3*h**2 + 3*h**3 + h**z - 2*h**3 wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 0.7 (c) 0.025 (d) -0.0148\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -14*j**4\/13 + 18112*j**3\/13 + 23306*j**2\/13 + 5180*j\/13 = 0.\nAnswer: -1, -2\/7, 0, 1295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2 - 11714*h - 58609. Give z(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**9)\/(t*t**(-1\/4)*t) assuming t is positive.\nAnswer: t**(33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 51 + 0*z + z + 14*z + z. Suppose 5*q = g + 32, -4*q + 22 = -11*g + 9*g. Is k(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 5:36 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (12 + -2)) + 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/312)\/((-6)\/16)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 5\/4*l - 5\/4*l**3 + 1\/2*l**2 - 1\/2 = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15336 is divided by 5100.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1010233 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fpfplpffpff. Give prob of picking 1 p and 1 f.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-4\/5)*v**2)\/((v\/((v\/(((v*v**(1\/9))\/v)\/v))\/v))\/v**(-2\/11)))**(-6) assuming v is positive.\nAnswer: v**(-898\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*t**2 - 23*t**2 + 27*t**2.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 7:21 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5 - 7) + 5 - 6) + (-55 - -73) + -30?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/8*(-20)\/(-1992)*240\/(-150)?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sgsswgsspswkkpswkg. Give prob of picking 3 s.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3*-1*(sqrt(40)\/((sqrt(60)\/sqrt(2))\/sqrt(6)))\/(sqrt(32)\/(4*2*sqrt(8))).\nAnswer: 1 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77 + 77.306. Let v = j - 0.506. Which is the closest to -1\/3? (a) v (b) -3\/10 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -3*r - 25, 0 = 4*r + 6*l - 10*l - 20. Which is the biggest value? (a) 2\/7 (b) 1\/6 (c) 96 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.05, -0.1, -1\/12, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 1 - 1)*(1 - 4 + 1) - 14 + 11 + 12)*(-5*m + 6*m + m) to the form l*m + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-81)\/(-12) + (-3)\/(-12). Suppose -n + l = 3*f, -4*n + 2*f + 42 = -0*f. Calculate the remainder when 37 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z, 6*z - 2*z = 5*d - 25. Suppose u = v + v - 535, v - 263 = d*u. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09241 to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2 + n - 24. Calculate g(-5).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence no when two letters picked without replacement from {o: 1, n: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 32977 divided by 3799\nAnswer: 32977\/3799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 9 + 5 + 4 + 1124*r**3.\nAnswer: 1124*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -25 - 26?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3\/3902 + -31375\/206806. Let l(s) = -s**3 + 2*s**2 + 8*s + 1. Let u be l(4). Which is smaller: u or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-1 + 3) + 4. Let u = 68.7 - 68. Let k = u + -0.8. What is the closest to k in 0.3, c, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 593*t - 187466 - 372650 = -15881*t for t.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + 9*x - 72*x**2 - 4*x - 6*x.\nAnswer: -72*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4865592?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -8 - h + 4 - h**2 + 5 + 5. Let q be k(0). Solve 3*v + 6 = -q for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -z + 16. Is 8 a factor of (-110)\/(-7) - (-12)\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-7 - (-1035)\/75)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-21))\/((-1547)\/546)*35\/(-5)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/2)\/(6\/180). Let s be (-4)\/10 - 171\/y. Suppose -h + 25 = 5*j, -5*j + 2*h + 36 = s. Solve -25 + 1 = 4*k + 2*r, -5*r = -j*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times -3.33\nAnswer: 0.1332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - j - 14600. Let m be t(0). What is m rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.3 and 9000246 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 3 = 2*v + 5, 5*v + 5*y + 35 = 0. Let q be 12\/v*(-9)\/6. Suppose -4*r = 4, 3*r = d + q*d - 18. Is 3 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/2665510 and 47\/15790?\nAnswer: 4208840290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -7*v**3 - v**2 + 2*v + 1. What is the remainder when x(-3) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2232 + -11163\/5. Let j = -11 - -9.94. Let s = j - -0.06. Which is greater: b or s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 + 0 + 8 + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 3 = -3*z. Let k(m) = -2*m - 9. Let x be k(z). Suppose 0 = x*q - 910 - 95. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58045 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: Suppose -2*a = 139 + 29. Let m = a - -123. Suppose 134 = 7*t + 43. What is the highest common divisor of m and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0560581927 and 0.003?\nAnswer: 0.0590581927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 a when four letters picked without replacement from {a: 1, t: 1, u: 1, w: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0515112 rounded to four decimal places?\nAnswer: -0.0515","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 4481757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -327786, -655589, -983392, -1311195, -1638998?\n\"Answer: -327803*m + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -153 - -171. Calculate the remainder when 19 is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in nine tenths of a kilogram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 12*x**2 + 25*x - 18. Let w be j(-9). Solve -t + 0*t = w for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 4, 6, -2, -26?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 5*x - 7 = 1, -2 = -4*w - 2*x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1631 = -234*j - 1453 - 660 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 953*f = 243*f - 17750 for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/13 (b) 0.04 (c) 1\/6 (d) -2\/3 (e) -119\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 148. Is 4 a factor of v(-32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 203*w**2 + 399 wrt w?\nAnswer: 406*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -72156370*f**3 + 2*f**2 - 382480050*f wrt f?\nAnswer: -432938220*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 2235 and 2236 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43.26 + -43.2600000683. Round z to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 16433.705 - 16382. What is o rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -4, 4*w + 5*d = -w + 200. Let c = w - -165. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -83*114\/37848*-4*58?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95, 211, 399, 659, 991, 1395, 1871?\nAnswer: 2419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4180 (base 12) to base 11\nAnswer: -5412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**3 + 2*v**2 + 2*v**2 + 3 - 4*v**2 + v**4 + 2*v to the form l*v**4 + p*v + j*v**2 + y + k*v**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24.6929 + 0.0071. Let z = t - 25. What is the second smallest value in 1, z, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -2 + 5 - 0) + 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20 - 47*y + 36 - 17 + 0*y + y - 3*y + (-2 - 2*y + 2)*(3 - 4 - 1).\nAnswer: -45*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5016 is divided by 922.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five eighths of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 2, -5*z - 28*b = -27*b - 8601. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*x - 3. Suppose 0 = 4*a - x*u - 38, a - 1 - 4 = 5*u. Solve -5*c + 10 = -2*g - 0, -c = 2*g + a for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3668*o**2*t**4 - o**2*t**3 + o**2 + 35*o - 13 wrt t.\nAnswer: -14672*o**2*t**3 - 3*o**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiyiaqyiqyiiqaniiqa. Give prob of sequence aan.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16177?\nAnswer: 7, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00665713453 to four dps.\nAnswer: 0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jtjtttt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 2 - 10. Let r be 40\/(-4)*s\/5. Let g = 2 + -4. Put 4, r, g in descending order.\nAnswer: 4, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 39 = x - 4*a, 5*x - a = 34. Suppose 0 = -5*j - 8*j + x*j. Solve 0 = k + 2*l - 0*l - 15, j = -4*l + 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -2*m + 4 + 7, -51 = -5*x - 8352*m + 8344*m for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100, 565, 1832, 4303, 8380?\nAnswer: 14465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -5*t + 1 - 4*t**2 - 4 + 7 - 5*t**2. Let o(h) = -5*h**2 - 3*h + 2. Give 3*k(y) - 5*o(y).\nAnswer: -2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -9*l**3 + 8*l**2 + 30*l + 20. Is 35 a factor of k(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-5) - (-116280)\/100. Let c = -662 + w. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - b + 1, -2*z - b + 4 + 1 = 0. Let v be (-2)\/((-2 + 1)*z). Solve 6*r + g = v*r - 2, 4*r - g = -6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 10*p - 14. Let c be u(-7). Let n(r) = 6*r**2 - 4*r**2 + r**2 - c*r**2. Let a(s) be the third derivative of -s**5\/15 + 5*s**2. Give n(a(f)).\nAnswer: -64*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) 50415 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1072 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-168)\/70)\/(-3 - 51\/(-15)). Let v(q) = q + 1. Suppose -12 + 4 = -2*k. Let p(g) = -6*g + k*g + 9*g + 4. Determine m*v(t) + p(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccczcvccccclkck. What is prob of sequence lcc?\nAnswer: 11\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 363*n + 6022 + 3914 = 1344 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 937?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/(-108))\/(2 + -5 + 0)*-102.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*m, 112*m - 344 = -2*w + 116*m. Calculate the remainder when w is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jttttj. What is prob of sequence jt?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 249 and 39.\nAnswer: 3237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261*t - 372*t = -849 - 2316. Factor 0*m + 0 + 6\/7*m**4 - 12\/7*m**3 + 3\/7*m**t - 24\/7*m**2.\nAnswer: 3*m**2*(m - 2)*(m + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - -74?\nAnswer: 73.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 8*l + 2. Let b be v(-8). Determine k so that -2*k**3 - k - k + 13*k**3 - 5*k**b - 8*k**3 = 0.\nAnswer: -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -41418563 and 0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1703)\/(-262))\/(255\/(-34) + (-3 - 1*-10)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 4*o - 9 = 0, 3*g - 2 = 3*o + 7 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 210095527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214287 is divided by 7653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0208 * 1.69296.\nAnswer: 0.035213568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k**(-2\/13)\/k)\/k)*k\/(k\/k**(-4\/11)))\/((k*k**(-2\/3))\/k**(-1\/6)) assuming k is positive.\nAnswer: k**(655\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1031 + -1031.13. Which is the smallest value? (a) -3 (b) -5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*w = -5*s + 19, 4*s - 36 = 4*w. Suppose 5*g - 2 - 28 = 0. What is the least common multiple of (-10 - 0)*(-4)\/s and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -295, -1053, -2553, -5047?\nAnswer: -8787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 + 1966 = -12*o + 50*o. Solve 2*b = -66 + o for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/8)\/(3\/30). Suppose 0 = -l*m + 5*y + 25, -4*m + y = -9*m + 49. Let a be 3\/1 - (-8 - -2). What is the greatest common divisor of a and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3131.157 years to centuries.\nAnswer: 31.31157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -7*f - 4. Let l(k) = -12*k - 7. Let r(g) = -3*l(g) + 5*y(g). Let c(z) = -11*z - 4. What is c(a) + 6*r(a)?\nAnswer: -5*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -3, -2, 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 5*p + 1. Let m be b(4). Let s = 0 - -12. Let w be (-7)\/s + m\/(-12). What is the nearest to 1 in 3\/4, -0.1, w?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18334 is divided by 1217.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 616 and 471724.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 231126 divided by 47?\nAnswer: 231126\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 990 - 238 = 2*l. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2. Suppose -2*y - m = -11, y - 2*m - 7 = -m. Let t(u) = -4*u - 12. Let o(j) = y*w(j) + t(j). Let c(b) = -32*b. Calculate o(c(d)).\nAnswer: 128*d","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -51, -115, -191, -285, -403, -551, -735, -961?\n\"Answer: -h**3 - 57*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**3 - 19*u**2 - 11*u - 22. Let m be r(-9). Let s = -3.04 + 6.04. Which is the third biggest value? (a) m (b) s (c) 81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -153 - -1031\/7. Let r(k) = -k**3 - 12*k**2 - 9*k + 16. Find the common denominator of r(-11) and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -295\/4 + 76. Let m = 346\/35 + -48\/5. Which is the third smallest value? (a) q (b) 2 (c) 5 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -17. Solve 0 = -3*p + 16 - f for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 279*r**5*s**3 + 2*r**4*s**3 - 9*r**2*s + 3*r*s**3 wrt r.\nAnswer: 16740*r**2*s**3 + 48*r*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -243763 - 1274922. Suppose -8*h + 13*h = p. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/5155136 and -69\/5155136.\nAnswer: 5155136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4004339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 52*l**2 - 108*l + 12. Let y be z(54). Suppose 20 - y = -4*r. Which is the second smallest value? (a) -0.1 (b) -2\/3 (c) r (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 391956880943 and -463.\nAnswer: 391956880480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -10.963. Let j = 1.863 + b. Let u = -3.9 + j. What is the closest to u in 0, -0.2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-18) + (-14)\/12. Is f + 97 + 3 + -2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -14*o**2 + 6*o + 22. Let j(p) = -12*p**2 + 5*p + 22. Calculate -6*j(q) + 5*z(q).\nAnswer: 2*q**2 - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131972.\nAnswer: 2, 32993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30736000*r**4 - 50360807*r**2.\nAnswer: 737664000*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**5\/7 - 12*p**4 + 213*p**3\/7 + 48*p**2 - 900*p\/7 = 0. Calculate p.\nAnswer: -2, 0, 2, 3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 325, 1120, 2669, 5224, 9037, 14360?\nAnswer: 21445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 655467?\nAnswer: 3, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7839.\nAnswer: 3, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82947570 - 82947570 + 10*m.\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597 is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23\/5107 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 45*p - 38. Give v(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 9 + 11 - 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/1940796 and 125\/18.\nAnswer: 1940796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*i**5 + 9*i**4 + 4*i**2 + 23 wrt i.\nAnswer: -660*i**2 + 216*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (1 + (-31)\/1). Let h(j) = -j**3 - 13*j**2 - 5*j + 6. Let w be h(-10). Let i = w + 246. Solve -4*m + 4*d = c, -m - i*d - 2 = -1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.97415 - -0.02585. Let g = 5\/84 - -3\/28. What is the smallest value in g, 17, l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 2:46 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1369 + 183 = h. Is 16 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 509 + -506. Solve -2*t - 34 = 3*t + y*p, 13 = -2*t - p for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29382002519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 17865408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*v - 7*v + 13*v**2)*(-26*v - 70 + 70) as q*v**2 + i*v + z + k*v**3 and give k.\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-7)*147\/42. Solve -3*b + 14 = -k*h - 6, -5*b = -5*h - 30 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s + 7*s - 3*s - 13*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 4:32 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) 1\/7 (b) -4 (c) -1\/6 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64 + 66. Let v be 4999 + (2\/(-4) - (-7)\/o). Let p be (v - 2)\/((-7)\/784). Round p to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40336 divided by -4\nAnswer: 10084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2576111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 185525 divided by -3\nAnswer: -185525\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.4836 to two decimal places.\nAnswer: -1.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**5\/4 + 3*m**4\/2 + 9*m**3\/4 + m**2 = 0. What is m?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*p - 11*p + 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 3:39 AM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llc when three letters picked without replacement from xxxxlllxlccccxxlx?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 214?\nAnswer: 214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 3*w - 1\/6*w**3 + 3\/2*w**2 + 0. Let i be 1\/5 + 3\/(-15). What is z(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 714468\/11 or -0.32?\nAnswer: 714468\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 695 is divided by 117.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.178 - -0.121. Let u = z - -0.0684. What is u rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 800551.\nAnswer: 47, 17033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*d**2 + 127 - 127)*(-2*d**2 + 2*d**2 + d**2)*(-13 + 19 + 10).\nAnswer: -160*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -12150 divided by 75\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 5*p. Let x = 58 + -52. Solve -2*s + 0*s + x = p for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 17.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*u**(-1\/3))*u**(-1\/15)*u assuming u is positive.\nAnswer: u**(19\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-one halves of a millimeter?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*n - 217 = -57*n. Which is the smallest value? (a) n (b) -2\/19 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13066515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -7. Let j = -2 + 2. What is the remainder when 17 is divided by j - l - 3 - -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6826495283348.3469933 - 6826495587640. Let m = 304430.653 + h. Let k = m - 139. Round k to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16022236.6 rounded to the nearest 1000?\nAnswer: 16022000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 0.9153?\nAnswer: -0.8153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17777794 and 45432.\nAnswer: 1262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 184 by 5.\nAnswer: 184\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.48 + 4.43. Sort 0, w, 0.2 in ascending order.\nAnswer: w, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5821*l - 5824*l + 14*z - 202 = 0, 9*l + 5*z = 52 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 + 2268*q**2 + 2254*q**2 + 2264*q**2 - 6772*q**2 in the form p + a*q + l*q**2 and give p.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2140*u**4 - 312 + 9250*u**3 - 9250*u**3 with respect to u.\nAnswer: 8560*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -832610?\nAnswer: -832608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -80?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -s**6\/40 + s**5\/10 - s**3 - 195*s**2. Let j(i) = -6*i**3 + 11*i**2 - 11. Suppose -2*w - w = -18. Give w*j(y) - 11*x(y).\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 486?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 4*n + 6, k + 2*n - 3 = 3. Suppose k*r = -0*r + 10. Suppose -r*o = -4*l + 62 + 30, -4*l + 92 = 5*o. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6522 - 5743. Which is smaller: g or 780?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/5)\/(d*d\/d**(-1)*d))\/((d*d**(-7))\/d**(-2\/13)) assuming d is positive.\nAnswer: d**(94\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -49*h - 53*h - 57*h + 0*h + 4*h - 2*h + (0*h + 2*h - 4*h)*(3 - 3 - 2) + h + h + 0*h.\nAnswer: -151*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*a + 56 = -136. Solve -h = -w + 1, -h = -a + 2 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*m*s**2 + 2*m*s*t**3 + 2*m*s*t**2 + m*s*t + 2*m*t**3 - s**2*t**3 wrt s?\nAnswer: 32*m - 2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - (1777 + -1794 - (-69 - -1))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a century in decades?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-4))\/(1\/(-2)). Let y(a) = 65*a**2 - 33*a**2 - 34*a**2. Let j(o) = o**2 - o. Give p*j(r) + y(r).\nAnswer: -r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (11\/3 + -4)*-36. Let v = f - 1. What is the remainder when 19 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnanfxc. What is prob of sequence fh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7441.518 months to decades.\nAnswer: 62.01265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p - 29. What is u(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3476*i**2 + 909?\nAnswer: 6952*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + 1 + sqrt(2) - (sqrt(32)*4)**2).\nAnswer: -1012 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -102152\/3 - 2\/3*u**2 + 904\/3*u.\nAnswer: -2*(u - 226)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 7*k + 2. Let s be d(-6). Let o = -68 - s. Calculate the least common multiple of 48\/(-112) - 171\/(-7) and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 3*g - 5*n, -867*n - 874*n + 2613*n = 4*g + 867*n - 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1779 - -1818. Is 3 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.063112 * -4\nAnswer: -0.252448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/6 (b) -0.02794 (c) -0.3 (d) -1 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -3 + -4 + 10 + -1 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 82, 92, 100, 106, 110, 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -242 + 258. Calculate the greatest common factor of f and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4940641 equal to -4940642?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 11:06 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.6 and 1.913.\nAnswer: 2.513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + 4 + 2*sqrt(13) - (-3 + sqrt(1872) - sqrt(13))) + (0 + sqrt(13)*1 - (sqrt(52) + 1)) + 5)**2.\nAnswer: -198*sqrt(13) + 1174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, -4, -4099 in descending order.\nAnswer: 5, -4, -6, -4099","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0742816g in tonnes?\nAnswer: 0.0000000742816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -16385 (base 10) to base 3\nAnswer: -211110212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/43909 and 37\/133?\nAnswer: 307363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 - 54) + (6 - -2) - -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 4 = 4*c. Solve -3*m + q = -c - 1, -13 = -3*m + 5*q for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 1 + 11 = 0. Let w be 2 + -1 + (-6)\/a. Suppose -13 = -4*y + w. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -0*i - 4*i. Which is greater: i or -10?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-88)\/(-66))\/(-10 - 357\/(-36))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156435361 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 11:50 AM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 688315\/(-70) + (-1 + 5 - 0). Let z = -9836 - c. Calculate the common denominator of z and -15\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/5*17\/(-34). Let s = -0.05 - 1.95. Let b = 1440 - 1439.5. What is the nearest to 2\/5 in v, s, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*s + 2344 = 0, g - 2*s - 3*s = 2330. Does 45 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 5, -2, -0.1, -44867, 0.04?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 4*t + 13, -3*t + 39 - 63 = u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*g - 21*g + 159*g - 251 = 117. Suppose 0*n + 0 + 4\/5*n**3 - 196\/5*n**g = 0. What is n?\nAnswer: 0, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55967 - 10511. List the prime factors of m.\nAnswer: 2, 3, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0698*-0.10705.\nAnswer: -0.00747209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 275, 0, 4 in descending order.\nAnswer: 275, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -4. Let p(x) = 4*x**2 - 4*x + 8. Let m(d) = -d**2 - 1. Let y(l) = -3*m(l) - p(l). What is y(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 0 (b) 23\/12 (c) 0.02 (d) -0.6 (e) -5\/2 (f) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 36*o**2 - 2*o. Is 15 a factor of p(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.89 - 0.09. Let t = s + -1.8. What is the closest to 1\/2 in t, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355170862 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 82992105 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33.5871632 + -89.4.\nAnswer: -55.8128368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1264252 (base 9) in base 10?\nAnswer: -692030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 717802 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4105, 3375, 2157, 451, -1743, -4425, -7595?\n\"Answer: -244*q**2 + 2*q + 4347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -388213, -1552557, -3493131, -6209935, -9702969, -13972233?\nAnswer: -19017727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214*t + 171*t = -679228. List the prime factors of t.\nAnswer: 2, 11, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + 1.505?\nAnswer: 1.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/6, 42, 0.5, -5.\nAnswer: -5, -5\/6, 0.5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*s - 3*v, -3*s - 5*v = -12. Let q = 39 - 35. Suppose q + 4 = 4*j. Solve -c + 5*b = -4*c - 18, -j*b - s = 3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*x + 504 - 1009 + 504 to j*x + v and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 3 - 3)*(-3 + 3 - 1) - 48 - 2 - 8)*(65*r - 122*r - 40*r).\nAnswer: 6014*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -17*x. Let c(o) = -10*o**2. Let f(k) = 3*k**2. Let b(u) = -4*c(u) - 14*f(u). What is b(t(r))?\nAnswer: -578*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - 4. Suppose -27*d - 924 = 57*d. Do g and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 883 divided by 76.\nAnswer: 883\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3 - 1385*j**3 + 772*j**3 + 7*j**2 + 612*j**3 + 2*j. Calculate b(5).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -277 and -282.\nAnswer: 78114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 + 8 + (-9306)\/(-168) - 5. Let d = 213\/4 - v. Let t = -1 - -2. What is the nearest to -1 in 5, t, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 475462?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1185, 4727, 10631, 18897?\nAnswer: 29525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 29 = -31. Suppose -p*a + 510 = -5*a. Suppose 2*v - 2*s - 44 = 0, 0 = 5*v - 3*s + 2*s - a. What is the highest common factor of 20 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/10 - (-92)\/20. Is 6 <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(-243) - (-4 - 105\/27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j + 7. What is q(-12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*p - 76, 0 = i + 2*p - 3*p - 38. Let x = i - 31. Suppose 3*w = -4*s + x, 5*w + 8 = -s - 3. Are s and 4 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 52 = 5*x, -6 = x + 4*j + 2. Let h = -3 + x. Solve h*b - b - 20 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - -9. Let l = s + -13.6. What is the nearest to 2\/7 in 0.5, 2\/19, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-4 + 9 - (3 + -4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**2\/2 + 14842137*d - 73429676908923\/2 = 0. What is d?\nAnswer: 4947379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 27\/(81\/168)*2\/4. Solve i*q - 267 = -43 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 25, 54, 89, 130?\n\"Answer: 3*c**2 + 20*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6643584l in millilitres?\nAnswer: 664.3584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -26, -14 in increasing order.\nAnswer: -26, -14, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -2*i**3\/33 + 10*i**2\/11 + 134. Solve l(s) = 0 for s.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.181 - 11.211. Let q = -3.5 + 3. Sort -2, 2, q, r in descending order.\nAnswer: 2, r, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phppphhhhxppphhbbh. Give prob of picking 1 h and 1 b.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 178.4 rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5922 or -2385?\nAnswer: -5922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 551390 by -5.\nAnswer: -110278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 c when three letters picked without replacement from kccukeuudkl.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 258314843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*5105\/(-10)*-3. Suppose 2811 + q = -a. Let b be (80\/3)\/((-8)\/a). Round b to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) -4 (b) -4\/5 (c) 0.03 (d) -101\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 62 + 2619*u - 57 to the form d*u + n and give d.\nAnswer: 2619","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -a**4\/4 + 5*a**3\/3 + 7*a + 5. Suppose 8*y - 4*y - 20 = 0. Calculate r(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1759 less than or equal to -1761?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**3 - 2*z**4 - 2*z + 1153*z**2 - 2 + 1159*z**2 - 3464*z**2 + 1162*z**2 to f*z + y*z**4 + b*z**3 + t*z**2 + h and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-2 + 3 - (-2 + -1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4512 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7479336013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 16959 divided by -4\nAnswer: -16959\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.9308 + -0.0692. Suppose 3*q = -1 - 5. Which is the second smallest value? (a) s (b) 4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(297))\/sqrt(9))\/((sqrt(81)\/sqrt(3))\/sqrt(9)) + (0 + (3*(sqrt(1331) + 0) + sqrt(1331) - sqrt(1331) - sqrt(1331)))**2 + -3.\nAnswer: 2*sqrt(11) + 5321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -109668575*w**3 + 95678820?\nAnswer: -329005725*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 0*f**2 - 55 + 11\/3*f**3 + 0*f. Let c(l) = -l + 0*l + 3*l. Calculate s(c(h)).\nAnswer: 44*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18135 or -18279?\nAnswer: -18279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -87755\/16 + 5487. Let o = 38137\/14 - 2726. Find the common denominator of o and c.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b97 - 2?\nAnswer: b95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46185564?\nAnswer: 2, 3, 23, 167339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 8:52 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7374 * 288\nAnswer: -2123712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 1. Let v(r) = -r**2 - 9*r - 14. Let h(m) = -v(m) - 3*y(m). Let t be h(-8). Suppose -5*i = -2*c - 52 - 19, 0 = -t*c - 9. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -25*n**4\/2 + 628*n**3\/3 + 1675*n**2\/6 + 154*n\/3 - 6 = 0.\nAnswer: -1, -1\/3, 2\/25, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3548160902?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7260 by 484.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*f**4 + 11*f**5 - 30*f**4 - 115 - 16*f**5 - 1067 + 9*f**5 - 2*f wrt f?\nAnswer: 80*f**3 - 852*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(684)*-1)**2 - (sqrt(684) + (sqrt(684) + -3)*2 - sqrt(684)).\nAnswer: -36*sqrt(19) + 694","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 9*h**2 + 586*h - 1131. Let m be s(-67). Let -m*t + 2\/5 - 42\/5*t**2 = 0. Calculate t.\nAnswer: -1, 1\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 713900004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100994, -101061, -101128, -101195, -101262, -101329?\nAnswer: -101396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334886.\nAnswer: 2, 167443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v - 13. Let q be g(4). Let f(h) = h**2 + 2*h - 1. Let a be f(-2). Let l(i) = -i**3 + i**2 + i - 2. Let x be l(0). Put a, q, x in decreasing order.\nAnswer: q, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 422741390 divided by -5\nAnswer: -84548278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 65 and 7?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (120\/(-96))\/(5*27\/60)\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17061 + -16957. Solve -74*s = -c*s - 240 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12592312 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 3. Suppose 305*i = 1109 + 2856. Which is the fourth smallest value? (a) i (b) -4 (c) 4 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 25*m**2 - 3. Let a be 44\/(-154) + (-4)\/(-14). Suppose a = -16*k + 6*k - 20. What is the units digit of x(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*m + 133*m - 13805 = -4789 for m.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*m - 173*m + 5264 = -114*m for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/3 - 82*g\/3 + 620\/3.\nAnswer: 2*(g - 31)*(g - 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from prxrxoxoirg. Give prob of picking 1 g, 1 p, and 1 r.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -3. Which is the third smallest value? (a) 3 (b) 2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -24*w**3 + w. What is l(1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 36 = l, -3*l + 6*l + 38 = c. Find the common denominator of c*(-3 - (-171)\/55) and -58\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyqqbi. What is prob of picking 2 q, 1 y, and 1 i?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -13\/4 (b) 0 (c) -3.52 (d) -10\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 12*p**2 - 254*p + 3177. What is y(13)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*t**2 + t**3 - 105 - 108 + 309 - 106 + 6*t to c*t**2 + l*t**3 + v*t + r and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 3)*(v**3 + 15*v - 15*v) + 5*v**2 - 209*v**3 + 206*v**3 - 3*v**2 - 60*v as h*v**3 + l + i*v**2 + o*v and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ve when two letters picked without replacement from {v: 7, e: 2, b: 3}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 23. Is 3734\/8 - i\/(-28) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) 0.03 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 5. Let o(h) = -4 + h**2 + q*h**2 - 5*h - 5*h**2. Let d be (5\/(40\/16))\/((-4)\/22). Let s(m) = 3*m**2 + 14*m + 11. Calculate d*o(j) - 4*s(j).\nAnswer: -j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/3*p**2 - 53\/3*p.\nAnswer: p*(p - 53)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 73*f**2*l**2*o**2 - 2*f**2*l - 65292*f**2*o**2 - 2*f**2*o - 4*f**2 + 2159*f*l**2*o + 179*f*l*o - f wrt o.\nAnswer: 146*f**2*l**2 - 130584*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2627 + (-1)\/(-5 + 5 - 1). Let p = l - 902. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1274? (a) -2\/11 (b) 1\/8 (c) 0.173\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (798*g - 538*g - 904*g)*(-2*g + 3*g + g).\nAnswer: -1288*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 24 = -13*m. Let p be -5 + -2 + 3 + 1. Let h be (-234)\/p + m\/2. Calculate the highest common divisor of h and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**2\/3 - 226*a\/3 + 75 = 0 for a.\nAnswer: 1, 225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) - (sqrt(343)*3)**2) + -4 + -2 + (sqrt(343) + (sqrt(343) + 2)*-3 - (5 + 2 + sqrt(343)))**2.\nAnswer: 163 + 553*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 935 = -330. Which is greater: 122 or s?\nAnswer: 122","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/348 and 163\/4768530?\nAnswer: 276574740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.9 - -1. Let r = -1.141 + 0.141. What is the nearest to a in 2, r, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(960)*-2 - sqrt(960))*-3 - sqrt(960) - sqrt(960))\/(sqrt(18)\/((3*sqrt(150) - sqrt(150)) + sqrt(150))).\nAnswer: 840*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 21. Let x(g) = -2*g - 18. Let u be x(-11). Suppose 4*s + 2*n = -29 + 1, 5*n = -u*s - 16. Sort -1\/8, s, v.\nAnswer: s, -1\/8, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11220*w - 1 + 0 + 4248*w + 3365*w.\nAnswer: -3607*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9251*l**2 + 3080*l**2 + 3090*l**2 + 3082*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 313 - 313.179. Let f = -0.1789835 - k. Round f to six dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170 - 6*l**2 - 80 - 90.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0*r = 3*n - 5, 0 = -3*r - 3*n. Let t(l) = -2*l**2 + 10*l - 5. Calculate t(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1425117 rounded to 2 dps?\nAnswer: -1.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-14)*18\/(-27). Let r(h) = h**3 + 4*h**2 - 8*h - 12. Let o be r(-5). Suppose -o*w - i - 3 = -1, -5*w + 4*i = -8. Which is smaller: z or w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 9:48 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zdzxzazwwxdiai. Give prob of sequence awd.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 2*z - 2 = 0, -2*l - 202 = 2*z - 200 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2245.866 + 2246. What is the nearest to -0.1 in d, 0.4, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7, -57, -153, -307, -531?\n\"Answer: -2*d**3 - 11*d**2 - 3*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 66077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 4*d + 17, -5*t + 1 + 7 = -d. Let f = 42 - 42.06. Which is the nearest to f? (a) -4 (b) -2\/7 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 136 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 49*l - 52*l = 12, -2*b - l - 4 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*w = -25. Let c(d) = 3*d + 19. Let g be c(w). Which is smaller: 13 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -5*h**2 - 5*h - 4. Calculate t(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -21125*s + 1056250. Give j(50).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*t - 7*t**3 - 26*t - 2*t**2 in the form s + i*t**2 + v*t + z*t**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2870 and 128002?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(8\/(12\/3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63478 - 44447. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 125992 and 1376.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*j**4 + j**3 - 275124*j**2 + 456*j + 5435?\nAnswer: 252*j**2 + 6*j - 550248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**3\/6 + 4*w**2 + 2*w. Let g be -33*8\/24 - -5. Let l be d(g). Solve h - 5*h + 5*o = 32, 5*o - l = -2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkknkkn. Give prob of picking 4 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22500849251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 485, 947, 1409, 1871?\n\"Answer: 462*z + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/9, 6\/5, -29 in descending order.\nAnswer: 6\/5, 10\/9, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tyyh. Give prob of sequence yt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -3*w + 23, 3*o + 16*w - 18*w - 29 = 0. Suppose -2*x + 170 = -3*a - 7, -4*x + a + 349 = 0. Calculate the remainder when x is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/5 + 2840808*d\/5 + 73860332\/5.\nAnswer: (d + 26)*(d + 2840782)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 26\/40 + 3\/(-12). Which is the nearest to -1? (a) r (b) 1\/6 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x - 1009688 = -4*q + 21*x, -q + 2*x = -252429. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2859.2 and 7387?\nAnswer: -21120910.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 1226076.91 and 0.1.\nAnswer: 1226077.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1816, 3701, 5658, 7687, 9788, 11961?\nAnswer: 14206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 158\/5, 6, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 45 = 2*b. Let w = b + 5. Calculate the greatest common factor of 154 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 180*c**3 + 2*c**2 - 202*c**3 + 0*c**2 as i + l*c + d*c**3 + g*c**2 and give d.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 10*n**3 - 5*n**2 + 2*n + 4. What is the hundreds digit of a(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 177 + -145 + -2 + -11 + 16 + (3 - 1).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7792063117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 20 = 5*v, 6*d - 11*d = -4*v - 13 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 - 1\/(1\/(-14))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 7*u**2 - 8*u + 1. Let f(i) = -3*i**3 + 20*i**2 + 23*i - 3. Let b(v) = 4*f(v) + 11*l(v). Is b(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*s = -1317, 257 = x - 2*s + 698. Let h = 2509\/6 + x. What is the common denominator of 42\/5 and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/52*(-376)\/(-282)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 10*i - 18. Let x be (-2)\/(-17) + (-1084)\/(-34). Suppose 4*l = i*l - 4*y + x, 3*l + y - 41 = 0. What is the remainder when l is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -20857*v + 156. What is the units digit of s(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-5))\/(8\/21030000*-9). Round g to the nearest 10000.\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 80.09803 and -0.3466?\nAnswer: 80.44463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 5:50 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - dac11?\nAnswer: -dac11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 617344344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36396555.\nAnswer: 3, 5, 13, 186649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 118, 4, 2351 in ascending order.\nAnswer: 4, 118, 2351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -335*k - 9027. Let p be t(-27). Put 21, p, -4, 5\/3 in descending order.\nAnswer: 21, p, 5\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/3)*z\/(z**2*z))**(-3\/2)\/(((z**(1\/6)\/z)\/z*z)\/z**(-2\/9)*z**(-2)*z*z\/(z*z\/((z*z*z*z**(-1))\/z)*z)) assuming z is positive.\nAnswer: z**(55\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 77760 and 128.\nAnswer: 9953280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 983847.8 seconds to milliseconds.\nAnswer: 983847800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/12 and -19\/2455638.\nAnswer: 4911276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 41377308 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j + 16. Let x be r(-8). Does x = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5, -32*l - y = -29*l - 5. Solve l = -2*g - 8 + 14 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -159795, 0.1, -11, -0.4, 5 in decreasing order.\nAnswer: 5, 0.1, -0.4, -11, -159795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 1600*c + 40*c**4 - 56 - 80*c**2 - 532*c**3 - 4\/5*c**5. Find r such that t(r) = 0.\nAnswer: -1, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 + -33. Suppose q*a = 4, -5*n + 8*n + 5*a = 95. Suppose -54*y + n = -49*y. Solve -y = -3*v + 2*w + 11, -4 = -4*v - 2*w for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -4*f + 15990, 142*f - 143*f + k = -3994. What is f rounded to the nearest one hundred?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 5*s - 9 - 11 = 0, 3*d - 5*s = -20 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q - 5*q - q + 25 + 5*q.\nAnswer: -q + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t - 30 = -4*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 68103+16920663\nAnswer: 16988766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*r + 2401 - 2293 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-29)\/58)\/((1\/(-1))\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*u - 133 = 0, -4*k + 2*u = -3*k - 47. Does 19 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x + 31. What is m(3)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + i - 4. Let t be q(2). Solve -23 = -5*g + t for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + (1 - (1 - -1)). Suppose -5*n = 20, 5*t + 46 = -0*n + n. Let h be t\/(-3) - 10\/(-15). Sort h, d, 0.\nAnswer: 0, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 15930*r + 63719. Determine k(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 509 divide 97788369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 90436 or 90433?\nAnswer: 90433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -481*j - 672 - 7154 = 46046 for j.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -5*a + 2*u, a - u = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 1\/2, 1, -0.03, -0.016?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-560 + 560 + 438*n + (-1 + 0 + 0)*(-n + 2*n + n))*(-n**2 + 3*n**2 - 4*n**2 + (2 - 2 + n)*(-2*n - n - 2*n)) as c*n**2 + x + o*n**3 + s*n and give o.\nAnswer: -3052","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004046 to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 380291 - 175449. Let o = w - 204872.00075. Let r = -30 - o. What is r rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.2, 15\/7, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = p - 25865. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 74867 and 553.\nAnswer: 75420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 154 - 219. Let d = 98 + s. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 28677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1815744 by -193.\nAnswer: 9408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 734994\/972 - (0 + (-1)\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8987 divided by 43\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*v + 143*v - 5*g + 95 = 0, 2*g - 133 = -5*v. Suppose -2*i = -154 + 20. Calculate the remainder when i is divided by v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 + 2. Is b at most as big as -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19.8 - -14.8. Sort t, -3\/2, -2, -19 in increasing order.\nAnswer: -19, t, -2, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 17*b**2 + 31. What is z(-17)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0728 take away 9079364221?\nAnswer: -9079364221.0728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3332201 - 4152?\nAnswer: -3340353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 2*w = -4. Let h(v) = 2*v**2 - 23*v + 8. Let r be h(12). Let z be (3 - (-108)\/(-20))\/((-8)\/r). Solve 0 = z*g - w*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2861*w**3 - 291*w**2 - w.\nAnswer: -17166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*b = 60 + 72, 2*v + 5*b = 88. Calculate the highest common divisor of 22 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 588626?\nAnswer: 2, 294313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 8 + 3. Suppose -4*k - r - 5 = -0*k, -3*k + h = -r. Let x be -1*2\/(-2) - k. Which is the second smallest value? (a) x (b) -5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 6 = -5*y. Suppose 0 = 5*p - 15, 4*r + 0*r + 4*p + 88 = 0. Is y\/(-5) - 840\/r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1839154 times 8?\nAnswer: 1.4713232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*g - 17. Let y(u) = u**3 + 13*u**2 + 13*u - 3. Let a be y(-12). Let t = -10 - a. What is the nearest to 0.2 in t, -0.5, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1356?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2318582, 2318583, 2318584?\n\"Answer: p + 2318581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 3*u = 5*h - 22, -5*h - 2 = 3*u for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 295.0046 * 8.\nAnswer: 2360.0368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*h = 278, -2*h + 184 + 152 = 4*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 5*a = 303, 41011 = 7*y - 3*a + 40824 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15.6 + -15.9. Let u = 5 + -4.5. Put n, -14, u in descending order.\nAnswer: u, n, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -4*a - 21, -2*p + 3*a = -18 + 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -8, 3, -35 in ascending order.\nAnswer: -35, -8, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -944060 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 177761 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -61*g - 1590, -148*g = -143*g + 130 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/9 (b) -4 (c) -8 (d) -198 (e) 0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -195 + 199. Solve k*r + 1 = -15 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140 and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*h = -2*h - 5, -5*g = -3*h + 9. What is the remainder when 73 is divided by (-116)\/(-3) + ((-22)\/6 - g)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 470 + -488.7. Let s = -0.24 + -18.76. Let u = l - s. Which is smaller: 2\/7 or u?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1378795067 to the power of 1\/4, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + x**2 + 7*x. Let u(f) = -2*f**3 - f**2 + 8*f - 1. Let b(c) = -2*u(c) + 3*y(c). Give b(-5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 37*v - 249. Let b be o(-28). Solve b*r = 5*s - 22, 3*r - 4 + 16 = 3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t**2 - 7*t - 2. Let c(o) = 5*o**2 - 8*o - 2. Give -5*c(x) + 6*z(x).\nAnswer: -x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2 - 3*p - 5. Let k be 3\/1 + 8\/(-8). Let o(s) = 3*s**2 - 4 - k*s - 3*s**2 + 0*s + 2*s**2. Give 4*a(h) - 5*o(h).\nAnswer: 2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 6 = 5*h. Let t be 0 - -1*h - -86. Suppose -177 = -5*r + t. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 8*b - 10. Differentiate -1 + 5 - 2*t**b - 4*t + 4*t with respect to t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1854.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2*h**(-3\/2))\/(h**(-1))**(-4))\/(((h**(-2\/3)*h*h)\/h**(-5))\/(h**(-3)\/(h*h**(1\/4)))) assuming h is positive.\nAnswer: h**(-169\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38 and ((-45)\/25)\/(2 + 55\/(-25)).\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 850746003993*m + 10 - 850746003972*m.\nAnswer: 21*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**6*z*z*z**(-2\/17)\/z*z**(-5)*z**5*(z\/(z*z**(1\/3)*z)*z)**(-24\/5)*(z**(-2)*z*z)**(-26) assuming z is positive.\nAnswer: z**(721\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 326857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6\/25 of a microsecond?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 + 3339 + -3355?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z. Let k be i(0). Suppose 2 = -k*p + p. Calculate the highest common factor of 5 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**7\/t)\/t**(6\/5) assuming t is positive.\nAnswer: t**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in -1\/4, 0.29, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-7)*d**3)**(-1\/36))**8 assuming d is positive.\nAnswer: d**(8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/6 + (-32)\/(-16). Let a(n) = -11*n + 3. Calculate a(b).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 13 + 2. Let r(w) = 14*w + 13. Let y(k) = 5*k + 4. Let g(j) = -3*r(j) + 8*y(j). What is g(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2 + 75*r**3 - 3*r**2 + 83*r**3 - 236*r**3 + 4*r + 77*r**3. Calculate q(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*o + 28*o = -6*o + 11 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2549*q - 2550*q - 39145*q**2 - 12091*q**2.\nAnswer: -51236*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2931 - -4866. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1017 + 4957 + 3183 + 1810)*(4*a**2 + a**2 - 4*a**2).\nAnswer: 10967*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22 + 18 - 26*h**3 + 44*h - 39 + 216*h**3 wrt h.\nAnswer: 1140*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -88 + 106. What is the highest common factor of j and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/8)\/(378\/(-216))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 179\/4 + -3409\/76. What is the closest to -1 in m, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7059377?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x*x*x*x\/(x\/x**(8\/5)*x)*x\/(x**(7\/2)\/x))\/(x**(-2\/3))**(-1\/13))**(1\/32) assuming x is positive.\nAnswer: x**(1579\/12480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 10:15 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {q: 4, y: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -55*q - 3905. Let r be z(-71). Let n(b) = b**2 + 7*b. What is n(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -495 - -3971\/8. Find the common denominator of i and 260\/3900 - 196\/15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 77.7 + -401.7. Let s = 309.1 + m. What is s rounded to zero decimal places?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5906 + 5906. Solve h = -3*z - 49 + 64 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**2\/5 - 1437932*s\/5 + 258456054578\/5 = 0.\nAnswer: 359483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 12) in base 13?\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 - 2850*c**2 - 31572*c - 28720.\nAnswer: 2*(c - 1436)*(c + 1)*(c + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6346691 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -133 - -68. What is the units digit of 2*1*x\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from czzzzzjzzbbzzcbzzzcj. Give prob of picking 1 c, 1 z, and 1 j.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-7)\/(1470\/(-24))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 0.126234.\nAnswer: -0.504936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*o + 4*o = -10107, -2*m = -4*o - 4034. What is the greatest common divisor of m and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 1:57 PM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -739.7 + 739. Put z, 1, 5 in descending order.\nAnswer: 5, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 6, -12, -2 in ascending order.\nAnswer: -12, -2, 0, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 1767*m. Let r(s) = -28*s - 2. Determine z(r(u)).\nAnswer: -49476*u - 3534","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 306 or 2143\/7?\nAnswer: 306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 155018180 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 0) + -12 + 8 + 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0 = -12. Suppose 2*j - a*i = 22, -2*i + 10 = -2*j - 6*i. What is the smallest value in 0, j, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 7*a**2 - 7*a + 4. Let d be s(8). Suppose -d = -0*i - 4*i. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4192*k + 3*q = -4196*k - 10, 3 - 5 = 14*k + 5*q for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 7432*r + 2900. What are the prime factors of d(1)?\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*v**2 - 66*v**2 + 2891*v**3.\nAnswer: 2891*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 51.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 4*a**2 - a - 1. Let t = -2716 - -2717. Let s(v) = v. What is t*s(i) + o(i)?\nAnswer: -i**3 + 4*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/132 and 187\/120?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(40))\/sqrt(4))\/(sqrt(50)\/(sqrt(10) + sqrt(70)\/sqrt(7) + sqrt(10))).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + 2*p + 8*p)*(-2 + 2*p + 2) + (-3*p**2 - 2*p**2 + 4*p**2)*(-7 + 3 + 2).\nAnswer: 28*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-11))**(1\/19)\/(k**(-1\/6)\/k)**(-15\/7) assuming k is positive.\nAnswer: k**(-115\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 69455761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-14)*(55\/(-5))\/(-22)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -54?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -3*j - 25 + 13, 12 = j + 3*w for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -711 = -4*a + 20181. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -16581, -66357, -149317, -265461?\n\"Answer: -16592*s**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33317687.\nAnswer: 13, 1109, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4*-3*(-4 + sqrt(176)) + -3.\nAnswer: -47 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -168.52475 to one dp.\nAnswer: -168.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*t - 885 = 49*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 5*v - 48. What is the tens digit of x(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + f + 20 = -0*k, 2*k + 4*f = 30. Suppose c - 7 = 2*j, -3*j = -2*c + k + 2. Let d be ((-2)\/(-4))\/((-4)\/24). Put 1, c, d in descending order.\nAnswer: c, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 + -31. Let u be 984\/88 - q\/22. Calculate the greatest common factor of 1 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.23 - 0.07. Let i = -0.84 - w. Let y = 1077 - 1080. Which is the second smallest value? (a) i (b) y (c) -4\/9 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-105)\/14)\/15*154. Suppose 0 = -3*l + 4*l + 87. Let p = x - l. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2499047, 2499061, 2499091, 2499143, 2499223, 2499337, 2499491?\n\"Answer: c**3 + 2*c**2 + c + 2499043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z - 10 = -15*z. Differentiate -1 - 5*h**3 + h**2 - 2 - h**z wrt h.\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 82354*b**2 - 74758*b wrt b?\nAnswer: 164708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/4, 1.53, 2\/7, 2, -108?\nAnswer: 1.53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pdwwwwwpwwswww. What is prob of picking 1 d and 1 s?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13052 - 13065.693. What is b rounded to zero dps?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183 = -6*c + 243. Suppose 0 = 5*p - 2*t - 46, -22 = c*p - 12*p + 2*t. Solve p*n = -n + 27 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.48 (b) 4 (c) 1\/2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5*(-6)\/75*1. Let t = 493\/5 + -98. Put -0.2, c, t in descending order.\nAnswer: t, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 9:15 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 95679692 at least as big as 95679695?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2338 - -7082\/3. Find the common denominator of 53\/28 and p.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.9 - -4. Let r = j + 0.8. Let v = r - 1. Which is the closest to -1? (a) v (b) 1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**2 + 10*b + 13. Let n(h) = -h**2 + 1. Let m(a) = k(a) - 4*n(a). Let t be m(-8). Let p(x) = -3*x - 5. What is p(t)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 - -133. Let m = z - 67. Calculate the remainder when (-40)\/15*(-261)\/m is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.21966*-1.01\nAnswer: 0.2218566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -816935 divided by -595.\nAnswer: 1373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2857909?\nAnswer: 43, 66463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 28849.87ml?\nAnswer: 28.84987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 9 = -97. Let t = d - 4. Do -25 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + (-2 - (-44)\/4). Let s(l) = -l**3 + 11*l**2 + 12*l - 4. Determine s(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2405)\/(-39)*6\/2 is divided by 28?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 73, -33, -2 in decreasing order.\nAnswer: 73, -2, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 1 - 24 = 0. Find the common denominator of (-8 - (-2301)\/120) + (-1)\/b and 2\/4 - (-30)\/(-16).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*w + 152*w - 2510480 = 1416796. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 1. Let o be d(6). Let r(f) = -4*f**2 - 75 + 80 - 4*f**2 + 6*f**2 + 7*f + 3*f**2. Calculate r(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/18)\/((-23)\/3 - -7)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4067651207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 13761 = -3702. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 10*h + 8*h + 2902 = 0, 736 = x + 4*h. Let w = x + -365. Does 15 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggemgwimmim. What is prob of sequence gw?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 9 - 28 = 3*h, -p - 4*h = -13. Let j(i) = i**3 - 4*i**2 - 4*i + 6. Let u be j(p). Solve -1 = -2*n - u for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k = 3*v - 15*k - 8, v = k for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 5) in base 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2337953 to 4 decimal places.\nAnswer: -0.2338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3125*u**2 - 2 - 3121*u**2 + 2 + 6245*u**2 - 3438*u to v*u**2 + l*u + h and give l.\nAnswer: -3438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 1. Let q(c) = 18*c**2 - 2. Let s(w) = 4*m(w) - q(w). Let d be (-6)\/9*((-22)\/(-4) - -2). Let p(a) = -9*a**2 - 1. What is d*s(f) + 12*p(f)?\nAnswer: 2*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1943 + -17446\/9. Let l = 1306030354 + -4989036020077\/3820. Let t = 2\/955 - l. What is the common denominator of t and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62956470*r**4 + 26611*r**2 - 11259*r.\nAnswer: 1510955280*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2470*l**3 + 4*l**2 + 1247*l**3 + 1248*l**3 + 0*l - 5 + 0*l to the form x + o*l + b*l**3 + n*l**2 and give b.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + (-20)\/11 + (-105)\/154. Is 0.12 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d**2. Let h(l) be the first derivative of -5*l**2 + 7. Give h(c(x)).\nAnswer: 30*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 397831 is divided by 397794.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -5*m - 31. Let i be j(-7). Solve 0 = l + i*l - 3*y + 24, -3*l - y - 6 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4*p**2 + 43*p + 6. Let a be n(10). Let g be -4 - (a\/126 - (-1180)\/(-14)). What is the greatest common divisor of 24 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31588 and 5724.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -3) + -1 + 2 - 14\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 14 = -0*w + w, 0 = -3*v + 3*w + 18. Let c(i) = -6 + i + 0*i + 3. Calculate c(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 68.01559 kilograms?\nAnswer: 68015.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(-21)*h\/((h\/h**(-2))\/h)*h**(2\/13)*h*h**(-20) assuming h is positive.\nAnswer: h**(28\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11603a1 (base 14) to base 8\nAnswer: -37520131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(75))**2*-3 + 1.\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.74 - -1.93. Let y = 1.09 - s. Sort 0.4, 3, y, 3.1.\nAnswer: y, 0.4, 3, 3.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.248 - 4.328. Let t = -0.08 - l. Put 0.3, t, -1 in increasing order.\nAnswer: -1, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 732310 (base 11) in base 3?\nAnswer: 2012122212012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (18 + -27 - (16 - 23))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3670*o + 11356. Give v(-3).\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1451 smaller than 1443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2281e (base 15) to base 11\nAnswer: 75575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*n + 18*n + 3266 = 1066 for n.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/4425428 and -27\/3161020.\nAnswer: 22127140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 8*h**7\/105 + 11*h**6\/10 + 76*h**5\/15 + 19*h**4\/2 + 20*h**3\/3 + 2097*h**2. Suppose c(y) = 0. What is y?\nAnswer: -5, -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11352 - 10510?\nAnswer: -22302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 161.1+-0.1481\nAnswer: 160.9519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3 + (-5 + 0)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.519 (b) -63\/8 (c) 2\/5 (d) -5 (e) 0.1 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 274371 take away 0.01556?\nAnswer: 274370.98444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 0.043\nAnswer: -0.0086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-3))\/((-287)\/1722)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -305.87 + 308. Let x = u + 0.87. What is the second smallest value in x, 2\/15, -0.2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 3*w + w, -2*u - 11 = 3*w for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = o - 2*g, -5*g + 7 = -3. Let t(d) = 3*d**2 - 6*d. Let y be t(o). What is the highest common divisor of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 133341 + 2211241?\nAnswer: 2400132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = i + 4*i. Suppose -2*j - i = -4*j. Solve -4*b - 4*c = 20, 2*b + c - j*c = 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 31*q**2 + 39223*q + 1139154. Give h(-29).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 4*y - 42, -3 - 75 = -5*y - 2*i. Let r be 237 - 1\/((-3)\/(-9)). What is the highest common divisor of y and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1562*t**2 - 4155*t wrt t.\nAnswer: 3124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - (0 + -4))\/(2*4). Let y = 22.23 + -23.197. Let j = y + -0.033. What is the third smallest value in j, h, -0.5, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -5*d + j - 14, 2*j = 8 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 817 = -514. Is 27 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 392631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + 4*c - 26, 7*w + 46 + 108 = 2*w + 16*c for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25891 - -26042. Solve 49 - j = -17*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22\/(-11)*(-2 + (-2)\/(-4)). Let s(z) = -z**3 + 3*z**2 + 6*z - 5. Let a be s(4). Is f less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 2*l + 2. Let c(b) = 4*b + 3 - 3*b + 0*b. Let u be c(-5). Suppose -2*m = -8 + 14. Let d(s) = 2*s**2 - 3*s - 3. Determine m*v(x) + u*d(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 7*k**2 + 7*k - 49. Let l be m(7). Suppose -40 - 12 = -4*w. Find the third derivative of 9*g**3 - w*g**2 - 9*g**3 - 10*g**4 + l*g**2 wrt g.\nAnswer: -240*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**4\/7 + 341*n**3\/7 - 27994*n**2\/7 + 122896*n\/7 + 629760\/7 = 0 for n.\nAnswer: -410, -3, 8, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -11 + 7 + 6 - 2*g. Let j be u(0). What is the first derivative of 3 - 21 - 5*m**j - 7*m**2 wrt m?\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1608 (base 12) in base 3?\nAnswer: -10120022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-78)\/(-90) + ((-133)\/114 - (-2)\/4)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000523593 rounded to 5 decimal places?\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 2*s**2 + 4*s + 6. Let d be r(-2). What is the second biggest value in -0.06, 0, d, 0.15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 17 + 6 + 8 + -6 + 3\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**2 - 6*c - 13. Suppose -4*p - 6 - 14 = 0. Let j be h(p). Let n = 2 - j. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of 161*z**5\/15 - z**3\/2 - 5885*z**2. Let h(u) = 6*u**2. Determine q(h(y)).\nAnswer: 23184*y**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-1)*(4 + -1). Let j = -3 + 5. Solve -5*p = -j*p + s for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47 + 95. Suppose -2*r + 0*r = -3*w + 13, 5*w = -3*r - h. Let l = 17 + r. Solve -v = -l*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t - 1. Let s be d(3). Let q = 9 - s. Let a be (2 - 52\/(-28)) + 6\/42. Is q < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/1862 and -26\/35259.\nAnswer: 9378894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*x + 17*x + 7*x)*(0*x**2 - x**2 + 0*x**2)*((2 + 0 + 0)*(-x + 0*x - x) - 26 - 6*x + 26)*(-2 - 2 + 1).\nAnswer: -330*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**6)\/a*a**(-8))\/(a*a**(-2\/9)*a*a**(2\/7)))\/((a*a**2*a\/a**7)\/(a\/(a*a**(-1)))**(-3\/2)) assuming a is positive.\nAnswer: a**(-323\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -4) + 89 + -88.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 26*k. Let h(s) = 90*s + 54. Let b(c) = 7*c + 4. Let r be 81*(4\/(-12) - 0). Let q(u) = r*b(u) + 2*h(u). Calculate x(q(m)).\nAnswer: -234*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2326, -9603, -22358, -41101, -66342, -98591?\nAnswer: -138358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-34)\/n*n*n**(-43))\/(n**13*n**(-1\/31)) assuming n is positive.\nAnswer: n**(-2758\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*m + 20*m + 3760. What is the remainder when m is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-63)\/90*8\/(-14). Let r = 9\/10 - g. Which is the second biggest value? (a) 1 (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13361176, -13361169, -13361162?\n\"Answer: 7*q - 13361183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46037858 and 13906?\nAnswer: 818","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -7*o, -5*y + 600 = 3*o - 2*o. Calculate the greatest common factor of 744 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/6)\/(-6*(-1)\/(-2))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*k - 19*k + 2 + 7*k + 21 to the form z + t*k and give z.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/372 and (9\/9 + (-74)\/24)*-1?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/567)\/((-39)\/117)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - b**2 - b + 4. Suppose -3*h + 5 = 17. Calculate the remainder when g(h) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18 + -340?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19942\/3 - 6648. Put -0.8, -7\/29, n in ascending order.\nAnswer: -0.8, n, -7\/29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1320)\/32)\/(-15)*-16. Round m to the nearest integer.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 644954613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/6)\/(9\/(-8)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1605526185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5033 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7272 divided by -12.\nAnswer: -606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 0*j. Let c(q) = q - 4. Let d be c(j). Let t = d - -10. Calculate the least common multiple of t and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 9*w + 12. Let u be g(-10). Let v(d) = 2*d - 2. Let b be v(6). Let s = b - u. What is the remainder when s is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/18 + 1056\/(-4509). Let p be (-26)\/(-65) - 94\/(-140). Let x = p - 17\/42. What is the third biggest value in -1, x, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*3\/462*-6*(-28)\/(-36).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*j - 406647 = 0, -4*t - 2*j + 266278 = -59054. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 - -54. Let h = y - 19. Suppose -3*u - 5*q + 60 = -132, h*u - 4*q = 106. Is u a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/4 + 371\/4. Suppose t = y + 2*y - s, 0 = y + 5*t - 15. What is the tens digit of 30\/(6\/8 - y\/80)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 11*i**2. Let u(v) = 1 + 236*v**2 - 1 + 113*v**2 - 245*v**2. Give g(u(f)).\nAnswer: 118976*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0111 * 841.2.\nAnswer: 9.33732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 709*t**2 + 698*t**2 - 444*t**2 - 939*t**2.\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*i + 4679827 = 0, 11 + 10 = 3*i. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.030096 + -0.03. Round i to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 4 = 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67 - 65. Solve q*s - 5*i = -4 + 15, i + 1 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 12*y**2 + 19*y - 6. Let k be r(-10). Solve -3*c + 3 - 11 = k*d, -4*d - 4 = 4*c for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1398 times 830098\nAnswer: -116047.7004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49.99999997 + 50. Round q to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/1356 and 13\/300.\nAnswer: 33900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 669792 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 730924.3763 rounded to the nearest one hundred?\nAnswer: 730900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**4\/13 + 1592*w**3\/13 + 4756*w**2\/13 - 1592*w\/13 - 366 = 0.\nAnswer: -793, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.1 + -2.1. Let w = u + 62. Let y = 71.0154 - w. What is y rounded to 3 decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7518, 15039, 22560, 30081, 37602, 45123?\n\"Answer: 7521*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1\/2, 2\/7, 1 in increasing order.\nAnswer: -1\/2, 2\/7, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -650 divided by -1\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1674183695 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 179847481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 2c610?\nAnswer: -2c613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1\/(-44)*-4.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -45*c*p**3 - 2933*c*p - 3*c*q - 11*p**3*q + 2*p**3 + 486*q**3 wrt q?\nAnswer: -3*c - 11*p**3 + 1458*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 23033 (b) -1\/12 (c) 5 (d) -3\/8 (e) -1 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1659?\nAnswer: 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 43853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 4*h - 61, 3138*h + 81 = -2*p + p + 3143*h for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 490 + 517 = 0, o = 2*c - 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*q + 40. Let w be (-1)\/(-1)*(-5)\/q. Let s = 0.43 - 0.03. Which is the nearest to w? (a) s (b) -0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 67, 71, 75?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(((h*((h\/(h*h\/(h\/(h*h*h**(-9)*h))))\/h)\/h)\/h)\/h))**(-3\/13)*h*h**5*h*h*h\/(h\/(h**(17\/3)\/h)) assuming h is positive.\nAnswer: h**(512\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -19923470059 - -6\nAnswer: -19923470053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -372343, -744468, -1116593, -1488718, -1860843?\n\"Answer: -372125*o - 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3b (base 12) to base 10\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 9*n**2 + 4*n. Let c(z) be the first derivative of -2*z**3\/3 - z**2\/2 + 7. Determine 26*c(a) + 6*k(a).\nAnswer: 2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 448 and 10382736?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 345768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.99 + 0.99. Let p = 0.1 + -0.2. Sort l, 2\/11, p in descending order.\nAnswer: 2\/11, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217*k + 759 = -240*k. Which is the third biggest value? (a) k (b) -3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 3*d + 1. What is the tens digit of j(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1591 + -565. Suppose -4*l = 8, p = -3*u + 5*u - l. Suppose 2*y - u = -38. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.9573 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 1\/11 (c) -1\/4 (d) 0.1 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -41*k + 507. What is u(11)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, 4, 1712, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.0472463*-1060\nAnswer: 50.081078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -20. Let k = 11 - -13. Let q = k - -3. What is the highest common factor of u and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = 11*r + 1 + 1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8526 - 348.5526. Let v = 83 + 294. Let a = v + p. Round a to zero decimal places.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22182511 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g + 29*g = -66. Let j(v) = v**2. What is j(g)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*u**3 - 2 + 3 - 10*u**2 - 32*u**3 + 9*u**2 - 6*u**3 to x*u**3 + a*u**2 + y*u + d and give x.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -5667*a**3 - a**2 - a - 1. Let o be n(-1). Round o to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 n, 1 p, and 1 w when four letters picked without replacement from {u: 4, n: 1, p: 2, w: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2151, 4430, 6721, 9030, 11363, 13726, 16125?\n\"Answer: t**3 + 2272*t - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 24\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -426422*j*y + 5141987*j + y**3 wrt y.\nAnswer: -426422*j + 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 12 + 18 = 0. Suppose 4*p + 7559997 = c*s, 4*p + 5669996 = p + 4*s. What is p rounded to the nearest one hundred thousand?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, -332, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s. Let o be -1*(-1 - -1)\/(-2). Let a be g(o). Suppose -2*y = -4*t + 24, 0 = t - 3*t + 10. Sort y, 4, a in decreasing order.\nAnswer: 4, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1237, 2, 6423, 3 in descending order.\nAnswer: 6423, 1237, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/5486975 and -4\/928565.\nAnswer: 60356725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l + 24 - 149 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s - 13. Let y be h(11). Let p(k) = -15*k. Let m be p(y). Calculate the common denominator of (5\/22)\/((-2)\/m) and -17\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -0.011, -5, 7, 32, -3 in descending order.\nAnswer: 32, 10, 7, -0.011, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = y - 12, 0 = 4*y + 12*o - 13*o - 14 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(6335\/364 + (14 - 31)).\nAnswer: 52\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201447323 to the power of 1\/3, to the nearest integer?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-41365132)\/736 - 6\/16. Let o = 96656 + t. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -169*s**3 + 5*s**2 - 7*s. Let m(t) = 28*t**3 - t**2 + t. Let g(o) = -f(o) - 6*m(o). Let u(a) = a**3 + 3*a**2 + 6*a. Determine -6*g(d) + 2*u(d).\nAnswer: -4*d**3 + 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 79.5 - 70. Let z = 9.554 - w. What is z rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (-29 - (-1 + 0)). What is the units digit of m\/(-4) - (-15)\/20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-630)\/42)\/15*7\/(14\/12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {d: 3, b: 3, t: 5, r: 2}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 4 - 0, -3*o + 4*d - 147008 = 0. What is o rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22022211210 - -12200?\nAnswer: 22100001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, b: 9, l: 1, j: 2}. What is prob of sequence mlbj?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111 + 1111111101?\nAnswer: 10000110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/12*(-40)\/(-30).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 2*w + 12. Let z be d(-5). What is the tens digit of -3*(37\/z - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 9:37 AM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 167202 and 126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 262*r + 19 = -260*r, -5*p - 5*r + 30 = 0 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 7*b**2\/2 + 6*b - 3. Let t = 335 + -925. Let h = t + 584. Let q(k) = k + 1. Calculate h*q(u) + l(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -m**5\/60 + 23*m**4\/6 - 1058*m**3\/3 + 36*m**2. Find x, given that l(x) = 0.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25150 and 296770.\nAnswer: 1483850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 62 + -32. Calculate the remainder when 59 is divided by x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -27*q**3 + 13*q**2 + 9*q - 9. Let k(v) = 13*v**3 - 6*v**2 - 4*v + 4. Calculate -4*b(t) - 9*k(t).\nAnswer: -9*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 49598868?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/3599442 and 41\/2968.\nAnswer: 14397768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.3 in 4, 0, 3.15, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 10680768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**5\/30 + h**2. Let w(o) be the first derivative of -19*o**3\/3 + 11. Give r(w(m)).\nAnswer: -722*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 50 (base 9) to base 2\nAnswer: 101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*l**3 - 10*l**2 + 402*l?\nAnswer: 108*l - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 7425252 and 7425253 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-51)\/68*-4 + -2*1. Let z = 0.22 + -0.2. Which is the nearest to z? (a) -1 (b) y (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 32\/3*r - 16\/3*r**2 + 2\/3*r**3.\nAnswer: 2*r*(r - 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - r**2 + r + 4. Let b be x(0). Let u(v) = 9*v**2 - 2*v + 3. Is u(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 330 + -341.5. Let q = -26 + 13.5. Let z = j - q. Which is the closest to 4? (a) 0.4 (b) 0 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(52)*-3)\/((4*sqrt(48))\/sqrt(12)).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 56*b + 3. Let h(n) = 111*n + 5. Determine 4*h(g) - 7*x(g).\nAnswer: 52*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 8212*g + 2. Let x(k) = k + 220. Give s(x(c)).\nAnswer: 8212*c + 1806642","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4897 a multiple of 269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9078 - -960. Let u = c - -4737. Let y = -13427\/4 - u. Find the common denominator of y and 89\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - ((5 - -20) + -5)) + 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + s. Let i be v(0). Suppose -1070*t + 1094*t - 48 = 0. Solve 0*c - c - t = i for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -v**4\/12 - v**3\/3 + 11*v**2 - 15. Let i(w) = -38*w**2. Determine g(i(a)).\nAnswer: 76*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-988)\/8)\/(-19)*2. Is 14 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -1. Let v(s) = -s**2 - s + 1. Let k(z) = -4*z**2 - 3*z - 2. Let d(g) = -k(g) + 2*v(g). What is -d(q) - 3*x(q)?\nAnswer: -2*q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 17014748220 and -0.46?\nAnswer: 17014748220.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 568230938 a multiple of 228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 656202.3 months in decades?\nAnswer: 5468.3525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 330333 from -338.8418.\nAnswer: -330671.8418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137, 132, 101, 32, -87, -268, -523, -864?\nAnswer: -1303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.42 + 2.42. Which is the second smallest value? (a) q (b) -7 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-77610)\/(-3) + (35 - 36) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2110794 by 100514.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2604508 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 103*f**2 + 95*f**2 - 40*f - f**3 - 200*f**2 + 1 + f to the form i*f**3 + p*f**2 + s + o*f and give o.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 19*f + 65. Let j be x(3). Let m be 11\/9 + (-7 - j\/(-18)). Sort 6, 5, m, 4 in decreasing order.\nAnswer: 6, 5, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 18*d**2 - 75*d - 472. Let b be q(-8). Calculate the highest common factor of 220 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 325169577, 325169574, 325169569, 325169562?\nAnswer: 325169553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1109625 = -40*k - 23*k + 2212302. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 828683121 is divided by 24.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/3 + (-2 - -4). Let d = -12 - -5. Let l be (6\/9)\/(d\/h). Which is the third smallest value? (a) l (b) 1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbo when three letters picked without replacement from {b: 4, o: 3}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vll when three letters picked without replacement from {v: 2, l: 8}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 0.5, -5, 6543592?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of h**3\/3 - 9*h**2\/2 + h. Let w(i) = i - 5. Suppose -z - 4*j + 1 - 14 = 0, -5*j - 14 = 2*z. What is z*f(l) - 5*w(l)?\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -300 and -360.292847.\nAnswer: -660.292847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30092 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q - 3. Let j(l) = l**3 + 7*l**2 + 4*l - 6. Let g be j(-6). Let f be u(g). Solve 0 = -2*d - 3*d - x - f, -3*d - 5*x - 15 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5415609*r**4 - 30579*r**2 + 27*r wrt r?\nAnswer: -129974616*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**3 + 108*l - 5*l**2 + 3*l**3 - 94*l + l**3 as s*l**3 + d + j*l**2 + q*l and give q.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45113124 and 10.\nAnswer: 225565620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -221939.533 + 221703.533278. Let v = 236 + t. What is v rounded to five dps?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48313 + 27106. Let b = -3393083\/160 - d. Calculate the common denominator of b and -7\/44.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 7.78.\nAnswer: 1.556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 54\/(-45)*1\/3\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 14.1. Let j = 56 - 60. Let y = j - -5\/2. Which is the third smallest value? (a) -1 (b) y (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2024 (base 6) to base 16.\nAnswer: -1c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(-2 - -1) - -1. Let f = -5 - c. Find the third derivative of -5*s**f - 3*s**2 + 6*s**4 - s**6 - s**4 wrt s.\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 1 + 4*q**2 + q - 2*q**2 + 3*q. Let s(z) = z - 1. Let n(w) = c(w) - s(w). Is n(4) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23778060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 3*v**2 - 5. Let c(o) be the first derivative of 3*o**2\/2 + 1. Determine c(s(u)).\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*p - 19622 + 3198. Let q = p + -865. Does 20 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2522296 and 38871.\nAnswer: 22700664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*w - 66*w - 30*w - 55*w - 15*w.\nAnswer: -135*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express n**4 - 7*n**2 + 229 - 231 - 2*n**4 + 5*n**3 in the form m*n**4 + o*n**2 + r*n**3 + v + q*n and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5067*s + 5023*s - 880 = 0 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 24 = 4*c. Let o be c\/18 + 32\/6. Suppose p + 192 = o*p. Is p a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/2 + 1\/2. Let t = 40 + -38. Find the third derivative of -4*i**4 - 11*i**5 - 2*i**t + 4*i**4 - 2*i**q wrt i.\nAnswer: -660*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of (-12)\/36*(-2376)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 184 = 1498. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2888239.6251915 and 1.\nAnswer: -2888238.6251915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -1109*o**3 + 13*o**2 + 25*o + 7. What is the tens digit of n(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12806 divided by 6?\nAnswer: 6403\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u = 863 - 6215. Let k = -162 - u. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from acccaggaac. What is prob of picking 1 a and 1 g?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10242 + 243?\nAnswer: 11040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**4\/2 + 7*v. Let n be q(-1). Calculate the remainder when 50 is divided by n\/9*(-51)\/(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((5*(-1*sqrt(144) + sqrt(144))*-1)\/(3*sqrt(16)\/(sqrt(2)*2)) + 3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -116 + 1373*w + 262 - 315 - 173 wrt w.\nAnswer: 1373","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 24*c**5\/13 + 34000*c**4\/13 + 12052990*c**3\/13 + 8017390*c**2\/13 - 1005360*c\/13 - 1002528\/13 = 0.\nAnswer: -708, -1\/2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4512 divided by -2256.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w**2 - w**2 + 4*w**2 + 2*w**4 - 4*w**4 - 8*w**3 as t + y*w**2 + z*w + q*w**3 + i*w**4 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 1. Let l(t) = 5*t - 13. Determine 3*a(j) + l(j).\nAnswer: 2*j - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 465*k**3 - 10*k**2 + 2167. Let t(p) = -3254*p**3 + 74*p**2 - 15173. Let r(s) = 15*o(s) + 2*t(s). What is the derivative of r(i) wrt i?\nAnswer: 1401*i**2 - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3\/5, 336, 0.4, -0.2 in decreasing order.\nAnswer: 336, 4, 3\/5, 0.4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/21? (a) 2\/13 (b) -2\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 351456 - -1?\nAnswer: 351457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 8*r. Find the first derivative of 0 - 5 + r - 2*t wrt t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.27925*-0.05\nAnswer: 0.0139625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 3*t**3 - 1 - 3*t**3. Suppose 1046 = -669*l + 1715. Let y(c) = 5*c**3 + 2*c**2 - 4. Calculate l*y(s) - 4*g(s).\nAnswer: 9*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9*1\/3*2\/(-2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u*u**(-3\/5))\/u)\/((u\/u**(3\/7))\/u)*(u**(-1\/3))**(-6\/19))\/(u**(4\/9)\/(u\/(u*u\/u**(3\/7)*u)*u)*u*u**(-4)*u*u**(1\/7)) assuming u is positive.\nAnswer: u**(10624\/5985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) -3\/7 (b) 2\/73 (c) 2\/9 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -22*r + 1. Let g(l) = -25*l + 31. Let z(w) = 4*g(w) - 3*q(w). Let m(f) = -2*f**2. Give m(z(a)).\nAnswer: -2312*a**2 + 16456*a - 29282","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 142221023222?\nAnswer: 142221023221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 equal to -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -316 + 321. Let s be 4 - (44\/o + -1 + -4). Which is the smallest value? (a) -5 (b) 3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*(-35)\/14 - 4. What are the prime factors of 4\/z*117\/(-26) - -28?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24587?\nAnswer: 23, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22073 - 22072.9. What is the fifth biggest value in o, -2\/7, -2\/9, -0.2, -9.8?\nAnswer: -9.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 + 1 - 2*p - 7 + 0 - 6. Let t(u) = -1. Let o(r) = g(r) - 8*t(r). Determine z so that o(z) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1914933 by -32.\nAnswer: 1914933\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -527803, -527822, -527843, -527866?\n\"Answer: -q**2 - 16*q - 527786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 61 = -204. What is the remainder when 101 is divided by a?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, -16, 0.1, 3, 4 in descending order.\nAnswer: 4, 3, 0.1, 0.06, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -14 + 2. Is 2 a factor of r + 0 + (-8)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 98*b + 97*b = 22, 0 = 2*s - b + 8 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 0.14508, 0.4 in descending order.\nAnswer: 3\/4, 0.4, 0.14508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34\/(-12) + 5\/(-10))\/(786\/3537)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3*a + 3 = d, 4*d + 3*a = 12. Let p(v) = d + 0*v**2 + 0*v**2 + 4*v + v**2 + v. Determine p(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54499 is divided by 139.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(39\/(-33) + 6\/33)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 293*z + 3287. Give n(-12).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-21) - (-79350)\/21. Let i = y - 2156. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/101 > 3155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 7*b = 0, b = -3*x + 15. Let l = 7 + 1. Suppose -24 - l = -4*r. Is x bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 259 and 307433?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21857, 21486, 21113, 20738, 20361?\nAnswer: 19982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 16 + 43)*(1 - 2 + 3)*(-q + 3*q - 8*q) as p*q + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -5*n**2 + n + 4*n**2 - 7 + 8*n. Let x be ((-24)\/15)\/(1\/(-5)). Let m be l(x). Calculate the highest common factor of 11 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.109272*-0.54.\nAnswer: -0.05900688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -136, -301, -532, -829?\nAnswer: -1192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 3:45 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -15*z - 134. Let x be h(-9). Solve 2*k = k + m + x, 3*k = -3*m + 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*f**3 - 29*f**3 + 22*f**3.\nAnswer: -42*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-3 + sqrt(363) + 0 + sqrt(363) - sqrt(363) - sqrt(363))*3)**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z - 10. Let u(g) = g - 1. Let a(y) = 6*u(y) - 2*v(y). Is a(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 0*u - 2984 = 0. Let v = 561 + u. What are the prime factors of v?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -2*v - 10, 2*a - 6 = -4*v + 5*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 72 - 149\/2. Let o = l - -25\/6. Which is smaller: o or 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17.8 - -17.4. Which is the second smallest value? (a) s (b) 5\/2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1009742 is divided by 36062.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 z, and 2 n when four letters picked without replacement from nzqznnznnnfffn.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -25b6347 (base 13) to base 10\nAnswer: -11838002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13687.\nAnswer: 13687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.175 + 7.175. Sort -5, -3\/20, -2\/15, c in decreasing order.\nAnswer: c, -2\/15, -3\/20, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmvmvz. What is prob of sequence mm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 132102 divided by -30?\nAnswer: -22017\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.2 - 0.8. What is the second smallest value in i, -0.1, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, 2, -3\/4 in descending order.\nAnswer: 2, -3\/4, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*y + 3436717 = 529891. Suppose -y = -2*k + 4*g, -3*g = -4*k - 5*g + 149038. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -b2c4?\nAnswer: b2be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4*6\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 256 and 942272.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.115 less than -9936?\nAnswer: -9935.885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2\/3 + 32*g + 84.\nAnswer: 4*(g + 3)*(g + 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57140 is divided by 9522.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.176 - -10. Let v = 0.315 + y. What is v rounded to two decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*u = -10. Let b(o) = -2*o + 1. Let i(k) be the second derivative of -k**3\/3 + 6*k. What is u*b(j) + 3*i(j)?\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/14 - (-10)\/4. Suppose -1061 = -4*n + 5*j, -5*n - 2*j = k*j - 1275. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 3*k - 53, 3*l = 4*k - 8*k + 55. Suppose -5 = 2*b + 5*p, 3*b - 5*p = 17 + 13. Calculate the remainder when l is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 54828.306.\nAnswer: -54828.106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*i - 9*i - 115*i.\nAnswer: -250*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 12 = 3*f. Suppose f*r + 242019 = n - 981997, -4*r - 3672028 = -3*n. Let m be 1\/(24\/n) - 3\/18. What is m rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10896, 21623, 32350, 43077?\nAnswer: 53804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4318?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 33060935 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of u**4 - 6731*u**3 - u**2 + 37*u + 28028263 wrt u.\nAnswer: 4*u**3 - 20193*u**2 - 2*u + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 10*f - 6. Let d be r(9). Suppose -5*q + 4*t + 845 = 297, 342 = d*q + 2*t. 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: Solve 260*j + 103412 = 107832 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 1:15 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 1:16 AM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 101988 and 1116?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6335*v**2 - 364 + 365*v**3 - 1176 - 6335*v**2 wrt v.\nAnswer: 1095*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.65 and 5.\nAnswer: 18.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.6 take away 3?\nAnswer: -32.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 175498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence stzz when four letters picked without replacement from {s: 5, t: 2, d: 2, y: 8, z: 2}?\nAnswer: 5\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 15887*m. Let r(w) = w. Determine v(r(q)).\nAnswer: q**2 - 15887*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 9*b - 12. Suppose 0 = -3*m - f + 11, -9 - b = -2*m + 2*f. Solve -u = -1 - 3, 3*u - 28 = m*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 6 = -2*o. Let b be o - 9\/6*-34. Suppose 3*j - 399 - b = -5*i, -4*i = 4*j - 600. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**2 - 137*x - 1620. Determine l(-57).\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -9. Let z be n + -5 + (3 - 0). Let i(u) = -u**3 + u**2 + u + 11. Let l be i(z). Solve 4*k - 3*o + l = 34, 25 = -5*o for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -85101*p**3*x + 295*p**3 - 15*p - 5 with respect to x.\nAnswer: -85101*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.706206 meters in millimeters?\nAnswer: 5706.206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -7 + (1 - 9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -12 - -12 - (-12 + 1). Let k(b) = b**2 - 12*b + 11. Let y be k(n). Solve g - 9 = 5*a - g, y = -5*a + 3*g - 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -10*x - 111. Let c(k) = -12*k - 136. Let w(q) = -4*c(q) + 5*r(q). Suppose -5*j = 23 + 12. Is 3 a factor of w(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {s: 6, m: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.07 - 0. Let m = -0.37 - z. Which is the nearest to 0.1? (a) -0.4 (b) m (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8726\/75 + -891857\/525. Let h = r + 1585. What is the second biggest value in -2\/9, h, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -405 - 15 = 15*l. Let n = -89 + 47. Is 10 a factor of (-196)\/(-6) - l\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of s**7\/126 + s**6\/15 - s**5\/60 - s**4\/6 + 706*s. Find u such that g(u) = 0.\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -134*u - 16. Let q be 3\/1 + (-168)\/28. List the prime factors of b(q).\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.917 - -1.077. What is c rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -442, -1749, -3936, -7015, -10998, -15897?\n\"Answer: -2*p**3 - 428*p**2 - 9*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 11*t**2 + 13*t - 8. Let p be c(12). Let w(z) = -6*z - p*z + 11*z. Let m(q) = -2*q**2. Give m(w(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3394524626?\nAnswer: 2, 71, 23905103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, -12, -33, 0.4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -73 + 91. Find the common denominator of -95\/12 and 4\/m - (-1734)\/1188.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -12*b**2 + 336*b - 1124. Let j(f) = 7*f**2 - 224*f + 749. Let z(c) = 8*j(c) + 5*y(c). Factor z(m).\nAnswer: -4*(m - 3)*(m + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128321 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c**3*q - 312*c**3 + 5*c**2*q + 8*c**2 + 4*c*q + 57*c - 3359*q wrt c?\nAnswer: 18*c*q - 1872*c + 10*q + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + (-12)\/18)*9. Let s be (2\/(-30)*-3)\/1. What is the closest to 2 in 0.5, s, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*b, 0 = 11*n - 13*n + 3*b - 482. Is n >= -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-11 - (-3 - -3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169313 is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 708 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 + 39*x + 66.\nAnswer: 3*(x + 2)*(x + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 11:21 AM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from myyymnlmny. What is prob of picking 1 l and 2 m?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13369 and -7?\nAnswer: 93583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(99) - (sqrt(132)*-3)\/sqrt(12).\nAnswer: -1 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -d**5\/30 - d**4\/3 - 4*d**3\/3 - 8*d**2. Factor g(n).\nAnswer: -2*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1053*g**2 - 269*g**2 + 213*g**2 + 876*g**2.\nAnswer: 1873*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1473707 is divided by 58?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sb when two letters picked without replacement from seismsseb.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 0, -5727 = -6*x + 3*x - s. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/5*(5\/(-5))\/2\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dzbrrdbnyyby. What is prob of picking 1 r and 1 n?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 10 + -8 + 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-3)\/1)\/(-3))\/1. Let b = 2 + l. Solve 3*j - b*t - 9 = 0, -2*j = 2*t + 1 + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(550)*2)\/(sqrt(20)\/sqrt(2)*-6 - sqrt(10)))\/(1*(2*sqrt(20) - sqrt(35)\/sqrt(112))).\nAnswer: -8*sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -2\/7, 217, -2\/67, 1\/2 in descending order.\nAnswer: 217, 1\/2, 2\/11, -2\/67, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, x: 1}. What is prob of picking 1 o and 1 x?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 < 1124\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*l - 4*l + 3*l)*(-2 - 3*l + 3*l - l).\nAnswer: -10*l**2 - 20*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v + 4*v - 9*v + 4*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 23*q + 166. Give g(34).\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7.7? (a) 0 (b) -0.5 (c) 0.12 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 944 = 2*c - 0*c. Suppose -c = 5*l - 1487. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9642742 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 44894489631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + -15.6. What is y rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 3\/8 (c) 1\/2 (d) 2\/27 (e) 3 (f) 515 (g) -3\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -8*j**2 - 263*j + 45. Let k be o(-33). Let h(b) = 175*b - 96. Let z be h(k). Calculate the highest common divisor of 12 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 53?\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/2*(1 - 4). Let r be d\/(-12) + 5\/12. Let i(c) = -c + 6. Let g be i(10). What is the nearest to r in g, 5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24231866 rounded to the nearest ten thousand?\nAnswer: 24230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 75*j = -47*j + j - 1856 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 m, 1 b, and 1 u when four letters picked without replacement from {j: 1, m: 2, i: 1, q: 1, u: 1, b: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 398886, 398892, 398898, 398904, 398910, 398916?\nAnswer: 398922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - 1*-2 - 1. Suppose -2*w = -4*a + 2, 3*a - 60 = -l*w - 0*a. Calculate the remainder when 25 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b8 (base 16) in base 8?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -166*s**5 + s**4 - 175*s + 4. Let t(y) = -167*y**5 + y**4 - 175*y + 5. Let i(d) = -5*n(d) + 4*t(d). Find the second derivative of i(u) wrt u.\nAnswer: 3240*u**3 - 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59344 and 20818617?\nAnswer: 3709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 103 (base 6) to base 14\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oini when four letters picked without replacement from ioinjjoooioon?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80 + -398\/5. Sort -0.05, h, -2\/5 in ascending order.\nAnswer: -2\/5, -0.05, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2768 by 8.\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 0. Let l = 0.2 - t. Let m = -3 - -4. Sort m, 5, l in decreasing order.\nAnswer: 5, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 26234 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 5*d**3 - d**3 - 2*d**3 to o*d + r + j*d**2 + n*d**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 4*d**5 + 2*d**4 + 14*d**2 - 10*d**4 - 20*d**5 + 15*d**5 - 5*d**3 = 0.\nAnswer: -7, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*w - 5. Suppose -4*v - 2*u = -w - 4, 0 = -v - u. Let k = 5.034 - 0.034. What is the second smallest value in v, -0.1, k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -320*f + 7823*f + 8526*f.\nAnswer: 16029*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1048\/96 + -11)*-18.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-19721)\/(-637) - (-5 + 5589\/1127)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -43.1.\nAnswer: 21.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*u, k + 2*k - 2*u = 20. Let r(h) = -h**3 + h**2 + 5. Let x be r(0). Suppose 2*o - 4*f - 4 = 0, 5*o - 5 = -0*o + x*f. Solve 2*z + o = k for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -29\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 2 = -z. Let a be (3 - (-8)\/z)*0. Suppose a = 3*o - 50 - 22. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -190788951*l**4 + 225416185?\nAnswer: -763155804*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 1:58 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_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: Let u(l) = -4703*l**2 - l + 63. Let g(d) = -2*d**2. Give u(g(p)).\nAnswer: -18812*p**4 + 2*p**2 + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 3*k**2 + 55*k - 25*k - 28*k to j*k + t*k**2 + w and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -1. Suppose 3*n = -z*n + 10. Suppose -n*q - 6798 = 3202. Round q to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8\/29 + 98\/145. What is the nearest to t in -0.1, 1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z - 23*z + 1 + 14*z.\nAnswer: -19*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11\/7? (a) 3 (b) 3\/2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 12*c + 11 + 13*c - 31*c**2 as q*c + i*c**2 + h and give i.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from kccceekyvckce.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4100444 (base 5) to base 7\nAnswer: 362455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 3*y + 18. Let u be c(6). Suppose u = 2*v - 4*x - 494, -4*v + 2*v = 4*x - 510. List the prime factors of v.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99031986 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4109*r**3*z**3 - 62*r**2*z**2 - 3*z**3 + 30*z wrt r.\nAnswer: -24654*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8124*j + 177528*j + 210638*j.\nAnswer: 380042*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 23626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16046 * 0.3.\nAnswer: 4813.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2538971 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.54 times -956.7\nAnswer: 516.618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*b + 0*b + 2*b)*(4 - 3 + 2) + 7*b + 2 + 10*b + 1 + (1 + 0 + 1)*(-b - 3 + 3).\nAnswer: -3*b + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 1, -8027362, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 166\/(-6)*178\/1424*(-72)\/(-3)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -5\/17251 (c) -22 (d) 8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e314 (base 15) to base 8.\nAnswer: 300411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.5 (b) -3\/2 (c) -11 (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*k - 11*k + k**3 - 5 - k**3 + 2*k**2 - 2*k**4 + 31*k - k**3 to l*k**2 + h*k**3 + y + d*k + o*k**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.2 + 8. Let z(a) = -a**2 - 19*a - 40. Let l be z(-16). Suppose -2*x + 5*k = l, 5*x - 11 = -3*k - 0*k. Which is smaller: u or x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13 + 5*s + 27 - 12 wrt s.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 772099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 51282449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = u + 3*i + 4, -4*i - 40 = -u. Let o be u*(54\/(-8))\/(-3). Suppose 0 = -5*t + 8*t - o. Is t a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 783317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 4813 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-75)*5)\/((-2)\/6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 54 = 6. Suppose -121 = -4*f + 5*m, -3*f - 43 = -5*f - m. What is the greatest common divisor of f and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133135 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 4. Suppose 0 = -2*x - 3*w + 594, -i*w + 35 - 354 = -x. Suppose 5*y - 1093 = -x. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.5 + 0.5. Let h be (-78)\/(-18) + 2 + -6. Which is the closest to h? (a) t (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 8*j + 5. Let m(t) = 17*t + 10. Let r(u) = 5*b(u) - 2*m(u). Let f(h) = -3*h - 2. Let o(p) = -5*f(p) - 3*r(p). Let i be o(-5). Solve 5 + i = 3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*j**2 - 952238*j + 3931549?\nAnswer: -4*j - 952238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 6*z - 5. What is the units digit of -6*((-85)\/6 + z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1176 = -93*p + 85*p. Solve -25*r + 4*r - p = 0 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - l**2 - l - 1. Let y = 220 + -219. Let k(a) = 6*a**3 + 5*a**2 + 5*a + 5. Calculate y*k(n) + 5*i(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/76 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-8)*(1 - 9). Let p = -4 - -5. Let a(h) = 0 + 2*h - p - 4. What is a(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6441 - 357*s**3 + 6441)*(4 + 1 + 0) + (-5*s**3 + s**3 + 3*s**3)*(5 - 4 - 2) in the form j*s**2 + t + p*s**3 + a*s and give p.\nAnswer: -1784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 3 + 7 - 16 = 4*c - 4*i, 30 = -5*c - 2*i for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1228198262?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -2 - -8 - (-21 - -37)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4 + -2*(-1*-2*sqrt(125) + -1 + -1 + sqrt(125)) + 1.\nAnswer: -30*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 59456 and 3924096?\nAnswer: 3924096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + y + 3*y + (3 + 3 - 4)*(-3 + 3 - 2*y) - 2*y + y + 0*y)*(-2 - 2 - 2).\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -687, -3, 1, -0.2, -0.1934?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 986.\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**5\/7 - 27*d**4\/7 + 90*d**3\/7 - 138*d**2\/7 + 99*d\/7 - 27\/7.\nAnswer: 3*(d - 3)**2*(d - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-6) - (0 - 3). Let f = v + -1. Find the third derivative of 18 - 18 - k**f + 0*k**2 + 4*k**2 wrt k.\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/6)\/(1\/(-382)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-21)*d\/(d*d*d**27*d) assuming d is positive.\nAnswer: d**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 + 0. Let x = 6 + -1. Let i = 431 - 431.1. Which is the third biggest value? (a) k (b) i (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/25 of a microgram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 708 is divided by 290?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*x + 305 = 24, 522 = -4*k + 2*x. Let a be -1*1 + (k - -164). Sort -4, 7, a, 3 in decreasing order.\nAnswer: a, 7, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 37 = 13. Let a = o + -6. What is the highest common divisor of a and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2095 + 2b6?\nAnswer: -199b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 14*p**2 - 7. Let r(t) = -3*t + 0 + 64 - 64. Determine r(i(y)).\nAnswer: -42*y**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1885\/5421 + 23\/(-69).\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-3))\/(3\/3)*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 0 + sqrt(80) + sqrt(80) + sqrt(80) + (sqrt(80) - (1 + sqrt(80)))*-5)*6)**2 - (sqrt(90) - sqrt(90)*4)\/(sqrt(2) + (sqrt(48)\/sqrt(8))\/sqrt(3)).\nAnswer: 12105*sqrt(5)\/2 + 27684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 25 and 492.939?\nAnswer: 467.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**5\/20 + z**3\/6 - z**2\/2 - z. Suppose 0*l - 8 = -l. Let y = -2 + l. Let g(f) = -5*f**3 - 6*f + 8. Calculate y*w(r) + g(r).\nAnswer: r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 169412588 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 5*a**2 - 70*a + 1225. Let o(c) = 12*c**2 - 140*c + 2450. Let h be (-30)\/(-3 + 9) + 1 - -6. Let s(j) = h*o(j) - 5*w(j). Find u, given that s(u) = 0.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000844292 rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h**2 + 11 - 31 - h**2 + 18 in the form d + l*h**2 + t*h and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 33154.\nAnswer: 99462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24444745399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -58461022 or -58461020?\nAnswer: -58461020","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 74 - 85.8. Put 2\/3, 0.3, d in descending order.\nAnswer: 2\/3, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 200\/115*44022\/1276?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b9 - -2?\nAnswer: bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-1\/4)*z)\/z**3)\/((z**(-5)\/z*z)\/z**(-4)))**31 assuming z is positive.\nAnswer: z**(-155\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 431 - 431 + 252*f - 3*f + 2*f + 3*f + (-2 + 1 + 3)*(-5*f + 3*f + 4*f) + 0*f + 7*f - f.\nAnswer: 264*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16302*o + 16302*o + 12*o**3.\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 42 = -3*h. Calculate the remainder when h is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4 + 604*m**3 + 43746*m**2 - 281512*m + 237160.\nAnswer: 2*(m - 5)*(m - 1)*(m + 154)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and -8.8?\nAnswer: 96.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.474 and 0.3.\nAnswer: 0.1422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + -14 + 34 - 25.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zlo when three letters picked without replacement from azlllpaoza?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5002625, 10005224, 15007823, 20010422, 25013021, 30015620?\n\"Answer: 5002599*b + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 48640 - -23204. What is the ten thousands digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112101 is divided by 988?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 3*y - 5, -44*y - 9 = 2*r - 49*y for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*g - 4784*g**2 - 17 + 4782*g**2 - 3*g)*(4*g**3 - 7 + 7).\nAnswer: -8*g**5 + 20*g**4 - 68*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -690112*n**3 + 1312*n**2 - 2624*n - 1312. Let p(s) = 2629*s**3 - 5*s**2 + 10*s + 5. What is 5*h(u) + 1312*p(u)?\nAnswer: -1312*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 + 35. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6*d - 8. Let w be s(-3). Let j(z) = 7*z - 10. What are the prime factors of j(w)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -5 - (-1024)\/64.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.5? (a) -1\/2 (b) -3 (c) -939\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**5\/60 + 13*c**4\/24 + 13*c**3\/6 + 453*c**2. Give b(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*v**2 - 272 - 2*v**2 - 1254*v + 1254*v to a*v**2 + b + d*v and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 6*s + 16 = -2*s, -1 = -r - 3*s. Suppose r*m + 4 = 5*b + 75, -b - 15 = -m. Is 1 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 155 and 34813031?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3564)\/486*(-1)\/(-33)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2453877996 and 8724.\nAnswer: 8724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/11766125 and -43\/42358050.\nAnswer: 211790250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 11:18 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*g - 52 + 86 = 0, -3*r = 2*g - 61. Calculate the highest common divisor of r and 3382.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 78 + 279*o**2 + 86 + 98 - 262 + (-1 + 4 - 2)*(-3*o**2 + 0*o**2 + o**2) - 5*o**2 + 5*o**2 + o**2.\nAnswer: 278*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -8. Let r = 1.99999 + v. What is r rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1603 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -31 - (-1 - 2\/2). Let c = v - -51. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -r - 1. Is 5 + -8 + r + 127 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xadd when four letters picked without replacement from axddy.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 77\/(385\/30)*(-44)\/(-24)*1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -154*k**3 + 157*k**3 - 425 - 668 as r + m*k**3 + w*k + v*k**2 and give r.\nAnswer: -1093","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -16. Let b(a) = -f - a + 3 + 2. Determine b(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -151*g**3 - 81*g + 42*g**2 - 140*g**3 + 290*g**3 + 40 = 0.\nAnswer: 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 242954021, 242954028, 242954039, 242954054, 242954073, 242954096, 242954123?\n\"Answer: 2*a**2 + a + 242954018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -97 - -149. What is the remainder when 107 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (186460\/90)\/((-38)\/(-513)).\nAnswer: 3, 9323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -156670, -156805, -157022, -157315, -157678, -158105, -158590?\n\"Answer: m**3 - 47*m**2 - m - 156623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2084 (base 10) to base 7\nAnswer: -6035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlixaik. Give prob of sequence xk.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -267457.357 minus -28.4?\nAnswer: -267428.957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 8*d - 3*f = 0, -12*d - 4*f + 16 = 0. Solve -51 = d*q - 49 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 13*p + 90. Let o be t(-7). Calculate the remainder when 215 is divided by (-2 - (-4 + 38))\/o.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28670, 114688, 258052, 458762?\nAnswer: 716818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 758*u**2 + 3832*u**2 - 11767*u**2 to the form g + d*u**2 + x*u and give d.\nAnswer: -7177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-33)\/42 - ((-6)\/7)\/3. Let s = 0.1 + 0.1. What is the smallest value in s, 1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one fifths of a centimeter?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -435*i + 224*i + 205*i + l - 15, -3*l = i - 7 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 2*x + 260. Let q be (18\/15)\/3 - x\/25. Factor -l**2 - 16 - q*l**2 + 15*l + l.\nAnswer: -4*(l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -6, 4, -933, -13, -3 in ascending order.\nAnswer: -933, -13, -6, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -1637*s**3 + 6*s**2 - 12*s. Let q(i) = -1638*i**3 + 5*i**2 - 10*i. Determine 5*a(w) - 6*q(w).\nAnswer: 1643*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1054 divided by -34.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4591, -18518, -41731, -74230, -116015, -167086, -227443?\n\"Answer: -4643*z**2 + 2*z + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -s + 21, 7*b - 2*b = -3*s + 67. Calculate the greatest common divisor of 24 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 8, 2*u + 290 - 2794 = -4*y. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 11*v**2 - 5*v. Let g(m) = 6*m. What is h(g(c))?\nAnswer: 396*c**2 - 30*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 78 (b) 1 (c) -0.25 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q + 2. Let m(c) = 10*c - 10. Let p(h) = -11*d(h) - 2*m(h). Let l = 5 + -4. Let g(y) = -1 + l - 5 + 4*y. Determine -3*g(k) + 7*p(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 4*y + 3*q + 13, 0 = y - 2*q + 6. Suppose 4*p - 184 - 224 = 0. What are the prime factors of y\/3*p\/(-8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 2 (b) -1 (c) -5\/4 (d) -13 (e) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 13*c**2 - 15*c - 14. Let l be g(-14). Solve -5*h + l*z = -4*z - 19, -4*h + 3*z = -15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*s + 1620 = 1836 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from ibtcbciicibcbtiiiib?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**4 + 4*a**4 - a**4 + (0*a + 5*a - 3*a)*(3*a**3 + 0*a**3 - 5*a**3) + (-12 + 13*a**3 - 22*a**3 + 11*a**3)*(1 - a - 1).\nAnswer: -3*a**4 + 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 88754*k**3*n**2 + k**3*n - k**3 - 3*k**2*n + 73*k**2 - 3*k + 8*n**2 - 6 wrt k?\nAnswer: 532524*n**2 + 6*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56 - -1) + (10 - (-50 + 111)) + 44.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p**2 + 9*p. Let i be x(-2). What is the second derivative of 13*o + 20*o**4 - 2736*o**i + 2736*o**2 wrt o?\nAnswer: 240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -39563668 (b) -3 (c) 0.5 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3749794356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 5*s + 102 = 0, -23*f - 92 = -18*f - 4*s for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - 29*b + 123. Let t be g(-18). Suppose -53 = -34*a + t. Calculate the remainder when 74 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32725\/43 + 761. Let j = 80\/129 - p. Sort 2, j, 0.5.\nAnswer: 0.5, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2 - 5*j + 4. Give f(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 155724 and 363840?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/30)*p)\/(p**19*p)*p**(-3)*p*p**16 assuming p is positive.\nAnswer: p**(-149\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 18\/7*t**2 - 108\/7*t + 216\/7 - 1\/7*t**3 = 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71.14 - -3067.86. Let z = 3139.08932 - n. Let p = 0.09 - z. What is p rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272028 is divided by 728?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 959953.2 tonnes to micrograms.\nAnswer: 959953200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 64.873.\nAnswer: 64.873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 38998499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -278 - -279. Solve -i = z - g, 5*z + 27 = 5*i - 18 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - -104. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**5 + 16*c**4 - 18*c**3.\nAnswer: 2*c**3*(c - 1)*(c + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.9 + 8.6. Let f = 19 - y. Let j = -0.475 - f. What is j rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14.79 - 19.79. What is the closest to -8 in 0.5, -19\/2, f?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5310696.46 rounded to the nearest 10000?\nAnswer: 5310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 6*a**2 + 27*a + 18. Let p be w(-12). Let u = p - 86. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0265 + 0.3.\nAnswer: 0.3265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 167 - 154. What is the highest common divisor of 533 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v + 737. Let z(a) = -3*a + 1102. Give 7*y(m) - 5*z(m).\nAnswer: m - 351","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 30*z**2 + 22*z - 3. Is 3 a factor of v(-31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -967*f + 1287 + 589 - 367*f + 196 with respect to f.\nAnswer: -1334","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70910000 rounded to the nearest one hundred thousand?\nAnswer: 70900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**3 - 158 + 160 - 2*j - 12*j**3 to the form q + w*j + l*j**3 + v*j**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 0*s + 0*s**5 + 1\/12*s**4 + 0*s**3 - 1\/60*s**6 + 5\/2*s**2 + 5. Let o(i) be the second derivative of r(i). Factor o(f).\nAnswer: -2*f*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(4860) - sqrt(4860) - sqrt(4860))\/sqrt(10))\/((2*-2*sqrt(147) - sqrt(147)) + sqrt(147)).\nAnswer: 9*sqrt(2)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2077, -10, 201 in ascending order.\nAnswer: -2077, -10, 201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.11? (a) -34\/7 (b) -5 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.90018 tonnes in milligrams?\nAnswer: 66900180000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 640.6 + -524.96. Round s to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4 (b) 17 (c) 2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 11 = q, -4*q = 4*o - 13 + 9 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 31198 to the nearest one hundred.\nAnswer: 31200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -13049*y. Let a(v) = -28*v**2 + 9. Determine a(f(k)).\nAnswer: -4767739228*k**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1922 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 492 divided by -306.\nAnswer: -82\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (1 - 0 - (-527 + 521))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r + 41. Let h(w) = -8*w - 3. Let a be h(-3). What are the prime factors of d(a)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.305 - 0.555. Let n = 5.86 + v. Which is the nearest to 0.1? (a) -1 (b) n (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**5\/60 - n**4\/12 - 4*n**3\/3 - 14*n**2\/3 - 5746*n. Determine m, given that g(m) = 0.\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -3.7. Let l = 0.46 + -0.26. Let m = 0.46 - 3.46. Which is the closest to m? (a) -3\/4 (b) p (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2176, 4409, 6734, 9151, 11660, 14261?\n\"Answer: 46*w**2 + 2095*w + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/8)*f**(-12\/7))\/(f*f*(f**0\/f)\/f*f*f**(-14)) assuming f is positive.\nAnswer: f**(639\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 347619199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -266 - -1318\/5. Suppose 0*n = 5*y + 2*n - 6, -2*n = 2*y. Suppose 4*s - s = -y*g, 4*s + 4*g = 0. What is the third smallest value in s, 1\/2, h?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-15))\/(311\/3110).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3240 divided by -45?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**4\/3 - 5300*q**3 - 337152*q**2 - 16150528*q\/3 = 0.\nAnswer: -7886, -32, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -75 - -40. Let m = 65 + d. Calculate the lowest common multiple of m and 14.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-12) + ((-134)\/(-12) - 10). Determine n so that 1\/8 + 1\/4*n + 1\/8*n**m = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 395*k + 5760 = 515*k for k.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12233150 + -12233239.99941. Let y = z - -90. Round y to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14 - 18 - 32)*(4*f**2 - 2*f**2 - 6*f**2) to the form s*f + w + q*f**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**0)*h**(-3\/2))\/(h**(-6)*h*h**(2\/3)))**(1\/8) assuming h is positive.\nAnswer: h**(17\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 3 = 2*y, -11*y + 26 = -5*i - 10*y for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 0*c**2 - 2*c**2 - c - 4*c**2 + c**3. Suppose 18*z + 24 = 22*z. Give k(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (27\/3)\/(-3) + 1. Let t = 0 - m. Let q = 6 - t. Which is smaller: q or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 398567?\nAnswer: -1195701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 24. Let c = 12 - 7. Put n, c, -4 in decreasing order.\nAnswer: c, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 5.4. Suppose 6*b = 31*b + 50. Let u be ((-8)\/(-12)*b)\/1. Is s <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17404 (base 8) in base 10?\nAnswer: -7940","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**2 + 153*j - 1381. Calculate the remainder when w(9) is divided by 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 15 - -4 - 12.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k. Let a(h) = -6536387*h. Calculate a(g(s)).\nAnswer: -19609161*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357270 is divided by 321.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30063 - y**3 + 30063.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -34\/43?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 27. Suppose 0 = 3*o - 16 + 1. Let g = o - 2. Solve -l + p = 6 - g, 0 = -5*p + c for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-8)*(-332)\/(-83).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (6 - 6) + (-89 + 75 - (-6 + -1))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 23\/30*j**6 + 0 + 0*j**3 + 5*j - 8*j**2 + 0*j**5 + 0*j**4. Differentiate v(c) wrt c.\nAnswer: 92*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -9*f**2 - 6*f + 7. Let l(v) = -19*v**2 - 13*v + 15. Let b be ((-50)\/(-30))\/((-1)\/(-6)). Suppose -2*w + 16 = -b. Determine w*u(n) - 6*l(n).\nAnswer: -3*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {v: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + -1 - 2) + -1 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 102236 (base 8) in base 3?\nAnswer: 1201120102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, 0, -4, 0.65, -2\/11, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1 + sqrt(252) + 4 + -4)**2.\nAnswer: -24*sqrt(7) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*r = 4*r - 86, 0 = -r + 3. Let i(y) = -y**3 + y**2 + 6. Calculate the smallest common multiple of i(0) and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -588 - -3?\nAnswer: -585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-3)*o)\/o*o)\/o*o**(1\/4))**(1\/40)\/((o**1\/o)**(-12\/7)\/(((o**(1\/7)*o)\/o)\/o**(1\/5))) assuming o is positive.\nAnswer: o**(11\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4361 divided by -89?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z + 3654 = 18*z. What is the remainder when z is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o*o*o**6)\/o)\/o)**(41\/4) assuming o is positive.\nAnswer: o**(287\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3 - 4080\/(-6 - 0)?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - k - 225 = 0. Does 27 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/6*6\/(-20)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 q, and 2 o when four letters picked without replacement from {g: 2, o: 2, r: 5, q: 4, m: 7}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 76\/(-114) + 3\/((-9)\/(-80)). What is the highest common divisor of 182 and d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23705 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -n**6\/30 - n**4\/6 - 2104*n**2. Let f(w) = w. Suppose -14*v + 18*v - 16 = 0. Calculate v*f(x) + l(x).\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -266 in decreasing order.\nAnswer: 5, 2, -266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-6*sqrt(11)*-3.\nAnswer: -36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 3*p + 11 - 43, 5*b + 2*p - 95 = 0. Let i(f) = 7*f - 82. Does 30 divide i(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/36 and 25\/168.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4769 = 3*o, 11 + 1 = 4*o. Suppose -l + 5*l = -5*j + 3182, -3*l = 5*j - d. What are the prime factors of l?\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/7 (b) -0.18 (c) -3 (d) -4701\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 566*u**2 - 1392*u**2 + 202*u**2 - 2809*u**2 + (-1 - 1 + 1)*(-u**2 + 4*u**2 - 2*u**2).\nAnswer: -3434*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/6 + 28\/(-6). Let h = 3 + g. What is the remainder when 1 is divided by 1\/h + 6\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 14*k**3 + 6*k**2 - 12*k - 3 - 15*k**3 - 5*k**2 - 10*k**2 + 21. Let t be v(-7). Solve -4 = 2*s + 2*w, -t*w + w + 2 = -s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -568.96625 to the nearest 10.\nAnswer: -570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 351280 to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50 + 50 - 10*i)*(-3*i + 0*i + 2*i) + 0*i**2 - 2*i**2 + i**2 + 1.\nAnswer: 9*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*l + 31, 4*v + 21 + 7 = 2*l. Let u = 7 - -1. What is the highest common factor of l and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/(-36)*(-1 - -119) and (-243)\/27 + 14 + 174\/(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2695)\/98 + (2 - -27)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 0*l + 0*l**2 + 2 - 4\/3*l**3. Let i(x) = x + 0*x - x + x. What is p(i(r))?\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 >= -12898\/2181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4998717 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of f**4\/24 + f**3\/3 + f**2. Suppose 2*r + 7 = h + 3, -3*h = 3*r - 12. List the prime factors of t(h).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a century in months?\nAnswer: 12900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 4*g - 156 - 158, 0 = -g - 3*q + 76. Let l = g - 65. What is the lowest common multiple of 14 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -111*h**2. Let t(g) = 173 + 164 + 176 - 7*g - 513. Give k(t(m)).\nAnswer: -5439*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 0*n = 5*c + 129, -15 = -5*c. Suppose 4*y + 5*h - 345 = 0, 2*y + 2*h = -3*y + 444. What is the greatest common factor of n and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 i when three letters picked without replacement from sssssississssiisss.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + (-2 + -2)*(-9)\/(-6). Put 4, 2, 6, r in increasing order.\nAnswer: r, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2963736\/(-126))\/(-6) + (-2)\/7 is divided by 1301?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 - 1 - 1 = 2*x, -i = -x - 13 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4618 - -2a1?\nAnswer: 4909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1371346 greater than or equal to -1371346?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -20. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*n + 18*n + 3*n + 21*n + 7*n.\nAnswer: -54*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23754016 and 1144?\nAnswer: 23754016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-40))\/(1\/(-2)*-1).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24965 is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40 and 31\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/(-45) - (-48)\/15. Solve -z + 12 = -0*z - q*s, -8 = -3*z - 2*s for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + -94. Suppose 990 = 5*o + 2*s, -s - 79 = -o + 119. Let z = d + o. Calculate the remainder when z is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 + -49. Let a = 1.1 - -4.9. What is the second smallest value in 5, a, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -i + 12. Find the first derivative of i - 2*a + a**3 + 2*a - 2*a**3 wrt a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 133177264 or 1198595380\/9?\nAnswer: 1198595380\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v - 3 = 0. Let x(h) = 1. Let j(t) be the third derivative of -t**5\/60 - 5*t**3\/6 - 133*t**2. Let i(k) = v*j(k) - 6*x(k). Let i(b) = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025956189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*z - 20. Let h = 10 + z. Is 7 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + s - 12, -4 = -2*g + 3*s. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + -3 + -1*1. List the prime factors of (-203)\/s - (-6)\/(-9).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.659050646 to three dps.\nAnswer: 0.659","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6510 = -4*q + 10*q. Calculate the greatest common divisor of q and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -10\/3*d**6 + 0*d**4 + 85*d**2 + 0*d**3 + 0 + 0*d**5 - 16*d. Differentiate j(h) wrt h.\nAnswer: -400*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - f**2 + 1. Let l(g) = 7*g**3 - 8*g**2 + 7. Let c(x) = l(x) + 6*v(x). What is the remainder when 23 is divided by c(14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -172551, -172524, -172479, -172416?\n\"Answer: 9*v**2 - 172560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s + 400. Let d(g) = 90711 - 2*g - 90711. Give a(d(b)).\nAnswer: -2*b + 400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-527.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11825 divided by -2\nAnswer: -11825\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65 + 62. Let u = o - -53. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**34\/d**39*d*d**(-38)*d*d**(-3\/34) assuming d is positive.\nAnswer: d**(-1397\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -100\/9 - -161\/18. Let r = 74 + -34. Find the common denominator of r and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95 divided by -86561.\nAnswer: -95\/86561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 13*m + 16. Let w be l(-16). Let s be w\/(-176) - (-1 + 1). Sort 5, s, 2\/5.\nAnswer: s, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 309*s**3 - 583*s**3 + 265*s**3.\nAnswer: -9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 107506 and 739018?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/24)\/(10*3\/(-48))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15940 + 11224 = -524*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - (-3)\/(3\/2). Suppose -12 = -u*k - 3*i, -5*k - 8 = 5*i - 28. Let h(l) = 3*l**2 + l + 13. Calculate the remainder when 37 is divided by h(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 132253\/24 - 5507. Calculate the common denominator of w and 41\/69.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - 8 - (-3444)\/336 - 7\/(-14). Factor 9\/2 - 15\/4*m - n*m**2.\nAnswer: -3*(m - 1)*(m + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4984 + 5000. Let c(i) = 4*i - 8. Let n be c(6). What is the greatest common divisor of n and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.62 to one dp.\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 3 + y - 8.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 407604 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 81 in -1, -15, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**4\/3 + 10*n**3\/3 - 50*n**2\/3 - 10*n\/3 + 16 = 0.\nAnswer: -8, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 180 - 183. What is the remainder when 53 is divided by ((q - -1) + 1)*-26?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l**2 + 157*l - 42. Let t be v(41). Calculate the highest common divisor of 8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 + -138 + (13 + -8 + -1 - (-1 + 4))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -238 - -237. Suppose -m + 6 = 4. Put q, m, -3 in increasing order.\nAnswer: -3, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence alla when four letters picked without replacement from {d: 1, f: 3, p: 1, b: 7, a: 3, l: 2}.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - d = -10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 3 (b) 1168 (c) -0.4028\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 978289 is divided by 3597?\nAnswer: 3502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 9:50 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4010 - 4009. What is the closest to r in 0.16, -0.1, -0.02, -4?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 229858?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (160\/48)\/(80\/96). Let l = 0.01 - 0.31. What is the nearest to -0.08 in m, l, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16\/75 - 3\/25. Let b = 20 - 14. Let t = b + 3. Sort 3\/4, t, u.\nAnswer: u, 3\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1691, 1695, 1729, 1817, 1983, 2251?\n\"Answer: 4*z**3 - 9*z**2 + 3*z + 1693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Express n + 61*n**2 + 10*n - 9*n in the form o + r*n + m*n**2 and give m.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-732)\/(-90) - ((-1)\/1 + 5) - 4\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -5*n + 360, b - 3*n + 584 = 6*b. Suppose 0 = 79*g - 76*g - 3*h - 108, 212 = 5*g + 3*h. What is the remainder when b is divided by g?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -12*l**3 + 2*l**2 + 10*l + 10. Let t(m) = -m**3 + m + 1. Suppose 3 - 1 = g. Let z(s) = s**2 - 3*s + 1. Let k be z(g). Give k*o(f) + 10*t(f).\nAnswer: 2*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27092 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0177 - 0.0177. What is the fourth smallest value in -0.05, j, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-21)\/8 - 3*-1. Let b(u) be the third derivative of w*u**4 + 0 + 0*u - 2*u**2 + 1\/6*u**3. What is b(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/(-21))\/((-24)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 4*r. Let y be c(-5). Let x be ((-1)\/6)\/(y + 54\/12). What is the second biggest value in 0, 0.1, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 403 divide 286103402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1767?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -48*(-12*5\/(-340) + (-5568)\/14790)\nAnswer: 48\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63525420.\nAnswer: 2, 3, 5, 7, 50417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 13*p**2 + 27*p - 21. Calculate v(9).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 389492489 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(960) - 2*sqrt(960))\/sqrt(192) - (3*sqrt(30)\/sqrt(2))\/(-1*(sqrt(3) - sqrt(27))).\nAnswer: -5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/2979 and 103\/1613625.\nAnswer: 4840875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + b**2 + 5*b**2)*(-1 - 4 + 2) + (2*b - 2*b - 2*b)*(-4*b + 3*b + 2*b) + 2 - 2 - 2*b**2.\nAnswer: -19*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (9\/(-5))\/3 - 233*306\/(-30) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127 + (-43)\/4945*14513.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k**3 - 7*k**2 + 19*k**2 + k**3 - 6 + 10*k - 4*k**3. Let b be f(-11). Solve 4*p = b*t - 2, 3*t = 4*p - 0*t - 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5*z**2 + 27*z + 11. Let y(g) = 2*g**2 - 13*g - 5. Let p(u) = 71*u + 145. Let b be p(-2). What is b*k(d) + 7*y(d)?\nAnswer: -d**2 - 10*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*g - 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-96)\/48)\/(2\/(-3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 4:02 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*a + 980192 = -5*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -12*q**2 - 1 + 0 + q + 9*q**2 + 0 + 3*q**3. Let f(k) = -4*k**3 + 4*k**2 - 2*k + 2. Let r(m) = -2*f(m) - 3*h(m). Factor r(v).\nAnswer: -(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**2. Let y be -2 + (-5)\/((-10)\/58). Let o(g) = y + 8*g + 31 - 58. What is o(h(n))?\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4090*h**2 + 4091*h**2 + 4*h**3 - 8020*h**2 - 161*h**2.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1\/13)*l*l*l**(1\/4))**6 assuming l is positive.\nAnswer: l**(495\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6191.21 times -4?\nAnswer: -24764.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -2351.786727 to the nearest 10.\nAnswer: -2350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182161907?\nAnswer: 89, 173, 11831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*n - 64 - 25, -n = 5. Let i be (16 - p)\/((-3)\/(-2)). Let j = 9 + i. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 6:44 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -949 + 1189. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 d when three letters picked without replacement from {q: 1, w: 2, d: 2, k: 6}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -21005 divided by -2786?\nAnswer: 21005\/2786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -36.72383\nAnswer: -11.017149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/4)\/((-4)\/(-8)). Let b = f + 3. Let h(k) = k**2 + 3*k + 1. Let j be h(-3). Which is smaller: j or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n - 25. Let h be g(5). What is the nearest to -2\/9 in h, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42232 (base 7) in base 14?\nAnswer: -3b19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40317 + 40319. Which is the nearest to 1? (a) 2\/13 (b) y (c) 1\/3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38189187\/245 - 155874. Calculate the common denominator of f and 150\/(-9) - 1\/(-3).\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4065 (base 9) to base 16\nAnswer: -b9f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 g when two letters picked without replacement from zzgzgggzggzgg?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) 0.01 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2 = -4*p, h - 16 = -4*h + 3*p. Let k = -329 - -329. Suppose k = v - h*v. Is v bigger than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-6)\/(-10))*(-66)\/55?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**5 + 6*f**3*g**2 - 13702*f**3 - f**2*g**2 - f**2*g - 172*f**2 + 17*f*g**2 - 5*g**2 wrt f?\nAnswer: 60*f**2 + 36*g**2 - 82212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 335 + 344. What is the greatest common factor of 99 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 71347632*a**2*g + 2*a*g + a - 33*g + 56032 wrt a?\nAnswer: 142695264*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 0. Let g(l) = 4*l**2 + 2*l + 1. Does 6 divide g(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55079.41 litres in millilitres?\nAnswer: 55079410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2505?\nAnswer: 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(4\/17))**(1\/8))**(1\/15) assuming z is positive.\nAnswer: z**(1\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 4, -40, 2, -6, 123 in descending order.\nAnswer: 123, 4, 2, -6, -9, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 113449?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {r: 2, x: 3, k: 3, n: 7, q: 1, t: 2}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -3858.55137 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6924220, 2 in decreasing order.\nAnswer: 6924220, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2 + 5*b - 4 + 6. Let v(r) = -4*r**2 + 3*r. Let k(q) = -q**2 + q. Let n(m) = -3*k(m) + v(m). Give n(z(c)).\nAnswer: -25*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/20 and 47\/28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -154 - -228. Let v = -35 + a. Let z = v + -32. What is the remainder when 27 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*c**2*d**2 - 20*c**2*d - 17*c*d + 11*d**3 - 2*d**2 wrt d?\nAnswer: -12*c**2 + 66*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 82*z - 82*z - 33*z**2 + (-2 + z + 2)*(3*z - 5*z + 3*z) + (1 - 1 + 1)*(-7*z**2 + z**2 + 14*z**2) as b + a*z**2 + t*z and give a.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 88 = -4*q, 60 + 22 = 2*z + 2*q. Let y = z - 40. Solve y*s + 0*s = 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.733683 tonnes in kilograms?\nAnswer: 6733.683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 8:39 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**4\/3 - 5114*f**3\/9 + 11944*f**2\/9 - 8534*f\/9 + 569\/3 = 0.\nAnswer: -1707, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, p: 15}. Give prob of sequence wp.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 3819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 467*o**4 - 44*o**3 - 765*o + 345458503 wrt o.\nAnswer: 1868*o**3 - 132*o**2 - 765","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/2315 + -2321\/6945. What is the nearest to -1\/2 in p, 2, -0.08, 6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 4270?\nAnswer: 34160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -2\/11 in descending order.\nAnswer: 0, -2\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q**2 + q - 4. Let i(g) = 4*g**2 + g - 5. Calculate 2*i(v) - 3*o(v).\nAnswer: -v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/20 + (-13)\/12. What is the closest to p in -5, 17, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = h - 641*a + 640*a, -4*h - 2*a + 14 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 3*v - 17 + 44, 0 = -5*c - 2*v - 33 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6435 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 12*b - 4. Let v be t(-10). Let w = 26 - v. Suppose -w*d + 18*d - 168 = 0. Solve -5*p + d = 2*z, 2*p - 9 = z - 2*p for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1092089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -29*m + 35*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(2736) - (3 + sqrt(2736) + 1)))**2 - 5*sqrt(133)\/(sqrt(7) + sqrt(448)*2).\nAnswer: -5*sqrt(19)\/17 + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*d + 20*d - 2*d**2 - 5*d.\nAnswer: -2*d**2 + 151*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -177, -734, -1673, -3000, -4721, -6842, -9369, -12308?\nAnswer: -15665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2107, -5, -15 in increasing order.\nAnswer: -15, -5, 2107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 53186 and 4217283?\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15*-23 + 2 + -2. Let f = -81 - o. Suppose 0*u + f = 3*u. What is the greatest common factor of 11 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 335449, 335375, 335179, 334801, 334181, 333259, 331975, 330269?\nAnswer: 328081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -20. Let u = 6547720 - 6547709.999914. Let l = u - j. What is l rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2238010 divided by 5.\nAnswer: 447602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2271\/(-4*5\/(-115720)). Suppose -5*c - 2*g = -32849996, c + c = 3*g + x. What is c rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.186 + 8.186. Let u = -75 + 75.3. Which is the fourth smallest value? (a) 2 (b) w (c) -0.4 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 205 - 80. What is the remainder when 72 is divided by g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.2 (b) 0.046 (c) 1 (d) 3\/2 (e) -3.365\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117) + 0 + -5.\nAnswer: -5 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 y when four letters picked without replacement from byybbbyn?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1352*z**4 - 38104*z + 38104*z)*(4 - 3 - 2)*(-21 + 14 + 13) to the form n*z + w*z**2 + k*z**4 + d*z**3 + t and give k.\nAnswer: 8112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b. Let z(i) = -32*i. Let n(k) = -k. Let u(o) = -112*n(o) + 4*z(o). What is y(u(x))?\nAnswer: -96*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -59.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 340468 by -4.\nAnswer: -85117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -20. Suppose -j = 2*t - 12. Find the second derivative of 0*o**4 - 5*o - t*o**4 + 3*o - 2*o wrt o.\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -7 + 16. Suppose -4*f = 5*u + 40 - 169, -3*f - 2*u = -102. Calculate the greatest common divisor of h and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.6 and -2735544?\nAnswer: 2735543.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, m: 2, r: 14}. Give prob of picking 1 l, 1 r, and 1 m.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22791427.4 - -6.46.\nAnswer: -22791420.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -57 (c) 1\/7 (d) -6 (e) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f - x - 11 + 10, x - 784 + 776 = 5*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -96 (b) -11\/5 (c) -0.04 (d) -3\/2 (e) -0.4 (f) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2746914.\nAnswer: 2, 3, 223, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 e when three letters picked without replacement from eaeaeaeaaeae.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 134025 (base 6) to base 12\nAnswer: 7315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*a**4 - 186*a**3 - 277*a - 2 wrt a?\nAnswer: -48*a**2 - 1116*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (10\/20)\/((-3)\/(-24)) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6*4\/(-6).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of s**2\/2 - 17*s + 1758. Let r(x) = -91*x**2. Calculate n(r(o)).\nAnswer: -91*o**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 780 divided by 195?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-2))\/(58\/8 + -5). Let q = -0.3 + -0.1. Let r = 1.4 + -0.4. What is the closest to r in q, d, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 12. Let r be v\/2 - 24\/(-16). Solve r*i - 24 = 4*j, 26 = 5*i + 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 6*q**2 - 7*q - 51. Let s be v(-4). Suppose -31*i = -s - 53. Solve -m = i*u + 3*m - 2, -3*u + m = 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/4*-4 - 2\/((-2)\/1). Solve 226*a = 228*a - o for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1416458 or -1416460?\nAnswer: -1416460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 26 = -p, 175189*p - 175186*p - 34 = -2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1453539*s + 2875319*s - 1421784*s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29 and 10976.\nAnswer: -318304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 7*b + 11 = -n, -n - 5*b + 9 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 1 + (-6 + 4 + 0)*(-2 + 0 + 3))*(10 - 10 + 9*k + 2*k + k - 5*k + 3*k + k - 5*k + k - 2*k + 0*k + 2*k - 5*k + 2*k + (k + 2*k - 2*k)*(1 - 4 + 2)).\nAnswer: -18*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1205518087 to the power of 1\/3, to the nearest integer?\nAnswer: 1064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 7) + (-5)\/15\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 34*(1 + (-7)\/(-2)). Suppose -8*x + 628 = -4*x. Suppose 5*r - 5*g - l = 3*r, -2*r = -g - x. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v + 6924*n - 6919*n = v + 75, 4*n = 2*v + 60 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v + v - 5*v)*((1 - 1 - 1)*(-21 + 51 - 65) + (4 - 2 - 3)*(-5 + 13 + 3)) to u + k*v and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 35*w - 351. Determine g(42).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2064 = 16*f - 0*f. Let q = f + 251. What are the prime factors of q?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -391\/7 + 56. Let w = -50.2 + 50. Let u = 1 + -5\/4. Which is the nearest to u? (a) j (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1121*i + 12785 - 39689 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 13*g**7\/210 + g**5\/10 + 13*g**2 + 5. Let z(n) be the second derivative of c(n). What is the third derivative of z(d) wrt d?\nAnswer: 312*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z + 32 = 24 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 16 = -3*u - 9, -4*c = -2*u + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 173122.32 months in years?\nAnswer: 14426.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -44 - 46. Let s = 45 + a. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/3 - 17 - -2. Let s be (-6)\/(-56) - 2\/v. Factor 1\/4*u**5 - 3\/4*u**4 + 3\/4*u**3 - s*u**2 + 0*u + 0.\nAnswer: u**2*(u - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 11:03 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7579024?\nAnswer: 2, 19, 107, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**5\/2 - 15*y**4\/2 + 1157*y**3\/2 - 2157*y**2\/2 - 2846*y + 3354 = 0.\nAnswer: -43, -2, 1, 3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -882636537, -882636552, -882636579, -882636624, -882636693?\nAnswer: -882636792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 2:22 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180*p - 175*p = 25. Solve -32 = 3*q + 5*r, 2*q - 7*q + p*r = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 2*t - 3*t)*(-302 - 877 - 1178 + 523 - 1943).\nAnswer: 3777*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 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: Is 1\/8059 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -0*i - 69. Suppose -i = -3*n - 2*c, -3*c + 3 + 112 = 5*n. Let l = n - 11. What is the lowest common multiple of 14 and l?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/225 and 29\/1925.\nAnswer: 17325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 16 + 10*d)*((-1 - d + 1)*(-d**3 + 0*d**3 + 3*d**3) + 3*d**4 - d**4 - d**4) + (-d**5 + 0*d**2 + 0*d**2)*(-4 + 1 + 1) - 6*d**5 + 4*d**5 + 3*d**5.\nAnswer: -7*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3\/5, 1, -0.4, -3, 202, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*c + 28*c + 5*c as n + g*c and give g.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 5990\/14 - (-5)\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 2) + 5 + -1 + (-1 - -6 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -161 + 234. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5*-6*(-6 - (10 - 8)) is divided by 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*d**3*g**3 + 4*d**3*g - 34*d*g**3 + 165*g wrt g.\nAnswer: -84*d**3*g - 204*d*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 41*m - 165. Let w be j(30). Suppose 2*k + 5*t = 1179, -5*k - w = -t - 4053. What are the prime factors of k?\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 102328, 204655, 306982?\n\"Answer: 102327*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d063 + 1aa?\nAnswer: d22d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -14622*k + 43910. Determine n(3).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 109912*z - 56004 wrt z?\nAnswer: 109912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18a (base 14) in base 3?\nAnswer: 102210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 13202635.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8169 - 7979. Do m and 190 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 5 + 3*o**2 - 3*o**2. Let j be p(-5). Let i = -3 - -7. Calculate the highest common divisor of i and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 5*y - 5*y**2 + 4*y + 2)*(-6*y - 3*y + 3*y).\nAnswer: 30*y**3 - 12*y**2 - 12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, b: 11, d: 2, f: 2, n: 3}. Give prob of picking 1 f and 1 d.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/10)\/(9\/10)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 86552 < 86550?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, j: 7, n: 7}. Give prob of picking 2 n and 1 a.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 40, 61, 100, 163, 256, 385, 556?\nAnswer: 775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-160) - (605\/100 - 6). Solve v = z + 5*j - 4, 3*z + 4*j = -151 + 163 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 12 = 3*j, -5*j - 2 = -2*h + 6*h. Sort h, -1, -5.\nAnswer: -5, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 79\/632 - (2 + 8887\/(-8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a millennium?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/((-15)\/2))\/((-2)\/9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-53081)\/(-35)*(-4 - 6\/6). What is w rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**4 - 3861*t**3 + 2354954*t**2 - 462702528*t + 230763008 = 0.\nAnswer: 1\/2, 496, 938","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/98*35)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-4*sqrt(567))\/sqrt(9))\/((sqrt(99) - (sqrt(99) + sqrt(99)*4 - sqrt(99) - sqrt(99)) - sqrt(99))\/sqrt(11))*-6*-2.\nAnswer: -64*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tat when three letters picked without replacement from {a: 13, t: 3}.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -39*g**2*n - 670*g**2 + 6189*g*n - 4976*g + 3 wrt n?\nAnswer: -39*g**2 + 6189*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09614 to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 12:09 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59314 is divided by 2518?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 7 + 0 - 0. Suppose -5*r + 5*i - 10 + 80 = 0, -3*i = 4*r - 21. Suppose 5*y - 2*y - 33 = 0. Solve 6*f + 4*t + y = 3*f, a*t + r = -f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 i when two letters picked without replacement from {b: 4, i: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d - 4. Let q be (1*-6 + 2)\/(-1). Calculate f(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/103 and 1533513 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 less than -20282?\nAnswer: -20166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 248\/7 (c) 0.5 (d) -12.8 (e) -1 (f) 4 (g) 0.4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101 = -105*j + 3875 + 1161 for j.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) - ((sqrt(70) - sqrt(70)*2)*-6 - sqrt(70)) - (sqrt(70) - 6*-3*sqrt(70) - sqrt(70)))\/((sqrt(5760)*1)\/(sqrt(8)\/sqrt(2)*2)).\nAnswer: -11*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32930\/(-2590))\/(1*-1) + (-1 - 11)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127132 is divided by 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 558*s - 21. Let k(q) = -837*q + 33. Determine 8*d(m) + 5*k(m).\nAnswer: 279*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-64)\/(-11) + -2 - 4. Sort 0.7, t, 1\/5 in increasing order.\nAnswer: t, 1\/5, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45.52 + -45.84024. What is a rounded to three decimal places?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -905, -1808, -2711, -3614, -4517?\nAnswer: -5420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -5*u - 5, 772670*u + 42 = 772666*u - 10*s for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/78)\/(20\/420) - 15\/6?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 840*b**2 + 7 - 676*b**2 - 157*b**2.\nAnswer: 7*b**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 0.4 (c) 3 (d) 1\/4 (e) -0.1545\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 8:19 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3*-336886\nAnswer: -1010658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11213 + 14371. Calculate the remainder when r is divided by 631.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/(-15))\/((-4)\/10). Let x be (-3)\/(-12) + l\/(-8). Let k(y) = -y**3 - y**2 - y + 8. What are the prime factors of k(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66)\/(-110)*(-100)\/240?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 84 and -45488.\nAnswer: -45404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (6 - 1) - (-6 - -18 - 2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 6*o + 23. Let w(y) = -11*y - 45. Determine -7*g(s) - 4*w(s).\nAnswer: 2*s + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004376 to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) 1\/6 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -102 at least as big as 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -311 - -316. Suppose -4*j + 17 = f, -h*f + 20 = -2*j + 1. Solve 18*q = 21*q + j for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5 + -5*((1 + sqrt(242) + sqrt(242) + 3 + sqrt(242))*-5 + 5))**2.\nAnswer: 140250*sqrt(2) + 1368475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4818.124 from 775124.\nAnswer: 770305.876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -5\/3, 15 in increasing order.\nAnswer: -5\/3, -0.3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4516245, -18064956, -40646149, -72259830, -112906005, -162584680?\nAnswer: -221295861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6041995948.699999849 + -6041995738.7. Let q = -210 + l. What is q rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 38*d**2 + 88*d + 32. Give q(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19414, -38828, -58242, -77656, -97070, -116484?\nAnswer: -135898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -98 + -20b?\nAnswer: -2a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -4*c - 44, -5*i + 28 = 2*c + 2*c. Let r = 34 - i. What is the remainder when r is divided by (14\/(-21))\/((8\/54)\/(-2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 5*d - 3. Let o(m) = -m. Let v(t) = i(t) - 3*o(t). Let b be v(-2). Sort b, -2, -1 in descending order.\nAnswer: -1, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/3*(-549)\/(-16287)\nAnswer: 1\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -27*5*40\/(-30). Let w be k\/15 + (0 - 0). Let x be (0\/1)\/(-17 - -19). Solve -3*m + w = x, 5*m + 1 - 5 = 4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -12, 114, 6, -3 in increasing order.\nAnswer: -12, -4, -3, 2, 6, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 4*q**2 - 7*q + 11. Let l be i(2). Let v = 14 - 0. Let g(a) = -a**2. Let t be g(0). Solve -5*b = 3*d - v, t*b + 10 = -l*b + 5*d for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 10*h**2 - 17*h - 17. Calculate a(8).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ua when two letters picked without replacement from uaauaapaaaana?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.068 + 7.118. Which is smaller: h or 17?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 66034?\nAnswer: 198102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.67 (b) 2\/9 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1867512, -1867513, -1867514, -1867515, -1867516, -1867517?\nAnswer: -1867518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g - 27. Let w be u(-9). Which is the closest to w? (a) -1 (b) 0 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9 + 6520\/(-6 - -11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 11*l + 8. Let q(h) = -10*h**2 + 6*h + 29. What is q(n(u))?\nAnswer: -1210*u**2 - 1694*u - 563","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/2 - 2846491*c\/2 + 2846489.\nAnswer: (c - 2846489)*(c - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*m**3*y**2 - 22364*m**2*y**2 - 5*m + 121*y**2 wrt m?\nAnswer: 18*m*y**2 - 44728*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 3 = -2*k, 0 = -2*u - k + 5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 126937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*p - 10*p - 7*p**2 + 6*p**2 in the form n*p + q + d*p**2 and give n.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 - 253 - 612 + 95 - 130 + 3*q.\nAnswer: 3*q - 939","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -190.02836+-0.3685\nAnswer: -190.39686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 3*a + 3. Let w be j(2). Suppose -2*n + 12 = -4*p, -4*n - 3*p + 24 = -w*p. Solve -n*v + v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/14))**(14\/5)\/(j**18*j**9*j) assuming j is positive.\nAnswer: j**(-139\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**3 + 2*a**2 + a. Let s be y(-2). Suppose -162 = -2*c + s. Let i = -53 + c. Does 10 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 10 + 45 = 5*c, -20 = -2*c + 4*n for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 62*q**2 + 124*q - 234. Determine w(60).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.06 + 3.94. Which is the smallest value? (a) -0.2 (b) k (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, x: 2}. What is prob of picking 1 x and 1 m?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51 + 246. Suppose -2*v + c = 2*j - 1485, 3*j = 3*v + 2667. Suppose -445 = -2*u + u - 2*p, 2*u = 3*p + j. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.586617 months?\nAnswer: 0.0004888475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/43 + -4\/43. Which is bigger: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 6:59 PM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3*x - 3, m + 13 = 3*x. Let o be ((-2)\/(-4))\/((-1)\/m). Let l = o + 2. Does 3 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(20) + sqrt(20)*3)\/sqrt(10)*6*5.\nAnswer: 4 + 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2750\/5143 < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 3*c**2 + 1 + (-2*c + 3*c + 2*c)*(-c - 2*c + 4*c) - 32*c**2 + 2*c - 169*c**2 + 15*c**2 in the form o + l*c**2 + y*c and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-3))\/(2\/3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 0.7407, -27 in decreasing order.\nAnswer: 0.7407, -2\/7, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11846405, -11846394, -11846383, -11846372?\n\"Answer: 11*z - 11846416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/5)\/b)\/b**(2\/9))\/(b**20\/(b**(1\/10)*b)) assuming b is positive.\nAnswer: b**(-1847\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5*1.946913\nAnswer: -9.734565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -140 + 142. Solve w*k + v - 6 = 0, 8*k + 5*v - 20 = 3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -3*o**3 + 11244*o**2 + 56295*o = 0.\nAnswer: -5, 0, 3753","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1107976 or 1107929?\nAnswer: 1107929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.45178 - -0.05178. What is the biggest value in y, -15.8, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -571, -1421, -2647, -4249, -6227?\nAnswer: -8581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*n - h + 6794 - 7186 = h, 0 = -2*n + 4*h + 9 - 33 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*a + 9, -2*g + 2*a + 4 + 6 = 0. Suppose 7*k = g*k + 21. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13.5, 0.21, 0.06 in descending order.\nAnswer: 13.5, 0.21, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v**11)\/v)\/v**(-2\/9))\/(v**14*v\/(v\/(v**13\/v*v)*v)*v) assuming v is positive.\nAnswer: v**(-133\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 9:22 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/128 and -107\/352.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 11*f**2 - 10*f + 3. Let b be p(-10). Let v = b - 4. Let i = 4 + -8. Sort i, 2, v in increasing order.\nAnswer: i, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of ((-6)\/9*19274)\/((-169)\/39 + 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24731278, -49462560, -74193842?\nAnswer: -98925124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/4 and 1\/(-3) - 1881\/108.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 220280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -799922 and -237 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o. Let j be t(-1). Let f = j - -4. Suppose f*q - 50 = -3*q. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 28 (b) 1\/3 (c) -4 (d) -25\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388641.\nAnswer: 3, 11, 11777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 3, 13, -29 in ascending order.\nAnswer: -29, -2, -1, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -113031516 (base 7) in base 16?\nAnswer: -6a08e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 5*i + 26, -3*g + 3*i = -g - 34. Calculate the remainder when 59 is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2311, -5912, -15537, -34198, -64907?\nAnswer: -110676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3024643 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 + (-105)\/(-875)*50 + (-2 - -1)*5?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1711 divided by 29\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292 + 116 = 102*o. Sort 1, -1, 42, o in decreasing order.\nAnswer: 42, o, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llhhllllhllllllhlh. What is prob of picking 1 l and 2 h?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y - 5. Let d be v(4). Let x be (1 - -3)*(-1)\/(-46). Which is the third smallest value? (a) 0.3 (b) d (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1800)*-3 - (-5*sqrt(128)*-4)**2.\nAnswer: -51200 - 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + (-2 + 2 - 2). Let r(n) = -7 + 5*n - n**3 + 2 - 2*n**2 + c. Let x be (-81134)\/565 + 143 + (-1 - (-24)\/(-10)). Calculate r(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 4:14 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 397, 785, 1173?\nAnswer: 1561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/10)\/k**(-14)*k**(-2)*k*(k\/k**(-1\/27))\/k assuming k is positive.\nAnswer: k**(3493\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of 0 - 1\/240*x**5 + 2*x**2 - 7*x + 5\/48*x**4 + 0*x**3. Find z such that o(z) = 0.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 0.4, -3, 1\/5, 0.186, 4 in increasing order.\nAnswer: -3, 0.186, 1\/5, 0.4, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29940\/43? (a) 5 (b) -1 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 170 + -174255?\nAnswer: -174065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (0 + 8 + -12 + (10 - 3))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 - -21. List the prime factors of 1644\/33 - d\/44.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 943 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a century in decades?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -209 - -424. Suppose -2*t = -3*q - x, 0 = -q + 2*t + 4 - 77. Which is smaller: q or -69?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121 - 1102?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17579 = 11*a - 17436 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*r - 135 = 70*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 5, -1 = -2*w + 2*m + 5. Suppose 0 = w*g - 36 - 80. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/11 in 1\/2, -2, -1.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3546 divide 2304368100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 412 - 409. What is the nearest to 5 in c, 2\/17, -0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fffv when four letters picked without replacement from {f: 15, v: 5}.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 3:16 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 39118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1805.274nm to centimeters.\nAnswer: 0.0001805274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 703435 - 120?\nAnswer: 703315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 47, 46, 45, 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 7. Let v be (-3 + 1 + 2)*j. Sort -3, -1, v in decreasing order.\nAnswer: v, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -12 - 6. Let l(r) = r**3 + 10*r**2 + 8*r - 6. Let f be l(i). Factor 1\/2*g**2 + 0 + 0*g + 1\/2*g**f.\nAnswer: g**2*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/sqrt(8) + 3)**2 + (sqrt(11) - (sqrt(99) - (sqrt(99)*5 - sqrt(99)))).\nAnswer: 20 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3372 - 3240. What is the least common multiple of 3619 and r?\nAnswer: 43428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1123*c - 400*c - 334*c - 355*c + 2.\nAnswer: 34*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2738\/34*21 - (-1176)\/(-9996). Calculate the greatest common divisor of t and 1513.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1059, -10691, -36837, -87753, -171695?\nAnswer: -296919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 4*i - 8, -y - 28 = 4*i - 20 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 17*t**2 - 827*t - 3934. Calculate a(53).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t - 11*t - 2675 = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**2\/3 - 6576*w + 19724\/3 = 0.\nAnswer: 1, 4931","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2*b + i + 15, 0 = -2*b + 2*i + 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 9:29 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 0 = 3*h - 3*t, -5*t = -3*h - 5. Let y(w) = 45*w - 33. Let l be y(h). Calculate the greatest common factor of l and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -158.75 + 191. Let l = x - 31. Let n = -1.177 + l. Round n to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n**3 + 0*n + 0*n)*(0 + 0 + n) + (2*n**3 + n**4 - 2*n**3)*(-11 + 2 - 31) as o*n**2 + t*n + b*n**3 + d*n**4 + x and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 + -37.3. Let t = d + 2. Let s = 0.04 - -0.26. Put s, t, 3 in ascending order.\nAnswer: t, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 5585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5165*i**6 + 2*i**2 + 1460*i - 1 wrt i.\nAnswer: 619800*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 5:36 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - x - 1)*(-3 + 4 - 7) + (21 - 5 + 2)*(3 + 2*x - 3).\nAnswer: 42*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 12.5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5*u + 837 = 0. Is u less than -94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 133*h + 128*h - 260*h. Let f(n) be the third derivative of 0*n**4 + n**2 + 0*n + 0 + 1\/20*n**5 + 0*n**3. Calculate f(g(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 + -58. Let o(b) = -9*b + 20. Is 20 a factor of o(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -3 - -23 - ((4 - 8) + 11 - 1)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53 - 59. Let w be g\/(-10) + (1 - 46\/10). Let d(z) = -5*z**3 - 3*z**2 + z + 3. Let h be d(w). Calculate the highest common divisor of h and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n**3 - n + 3. Let h(o) = -o + 1. Let p(s) = 6*h(s) - 2*t(s). Find the second derivative of p(j) wrt j.\nAnswer: 36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 205.\nAnswer: 12\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 418474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -22 + 5 + 36?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/(sqrt(18)\/sqrt(2) + sqrt(9))*-4)\/(sqrt(324) + sqrt(324)*-2*6 + sqrt(324)).\nAnswer: sqrt(3)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence is when two letters picked without replacement from {s: 1, u: 2, q: 4, i: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 189138 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 take away 22451611379729?\nAnswer: -22451611379735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s + 1. Let p(i) = i - 2*i + 0*i. Let x = -241 + 245. Let m(g) = x*z(g) + 11*p(g). Differentiate m(q) wrt q.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/4)\/(n**(4\/5)*n))**2 assuming n is positive.\nAnswer: n**(-51\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-32 + 27)\/(2 - 35451\/17718)?\nAnswer: 2, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, f: 5}. What is prob of sequence xf?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2000 - 1999.98132. Round z to 3 decimal places.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2012020001201 (base 3) to base 2.\nAnswer: -100011100100110010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 59*h = -60*h - 13, -2*k + 5*h = 7 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 3497719925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 0)*(-413)\/14. Suppose 21 = 5*p - w. Let u(i) = -12*i + 4 + p*i - 4. Let x(d) = d. What is u(x(g))?\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 6*k**2 - 5*k + 4. Let n be 1 + (-3 + 1)*-2. Let b be u(n). Is (210 - (-16)\/b) + 3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*0.067138515\nAnswer: -0.026855406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*m + m = 11, 2*m = 4*o + 22. Let v be 0 + -1 - (-3 - (-12)\/3). Put -1, v, o in ascending order.\nAnswer: o, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*v**3 - 37*v**3 - 142*v**3 - 1225*v**2 - 6*v.\nAnswer: 2*v**3 - 1225*v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 49871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.045 or -0.021?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -1\/5*d**4 + 1\/5*d - 1\/5 + 1\/5*d**5 + 2\/5*d**2 - 2\/5*d**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.129 - 10.129. What is the nearest to -2\/9 in i, 0.05, -5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 5*t - 520 = 489, -3*t + 747 = 5*k. What is the remainder when k is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 0*t = -5*t - 97 + 137, -128 = -4*l - 16*t for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72*w + 15*w**3 + 72*w)*(17*w + 85*w - 21*w).\nAnswer: 1215*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102112 - 100210?\nAnswer: 1001202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 31157.\nAnswer: 93471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbvbbvbnqqnv. Give prob of picking 2 b.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**2 + 2*h**2 + 0*h**2 + (2 - 2 + 2)*(-h**2 - 2*h**2 + 7*h**2) + 27*h - 14*h**2 - 27*h.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 15*b**2 + 17. Let o(h) = -7*h**2 - 8. Give 6*i(k) + 13*o(k).\nAnswer: -k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eyjjjedeyeeyydayeyy. What is prob of picking 2 y and 1 j?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g + 2. Let c be j(0). Suppose -5*w = -c*w - 30. Solve -2*m = w - 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 10:05 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of j**4\/2 + j**3\/6 + 11*j. Let u be n(-1). Let d be (36 - 3 - 0) + 1 + 1. What is the greatest common divisor of u and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 20*k**2 - 3232*k + 3188. Let a(y) = 7*y**2 - 1109*y + 1062. Let q(o) = 17*a(o) - 6*d(o). Factor q(b).\nAnswer: -(b - 537)*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*z = 505 - 3430 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 f when three letters picked without replacement from fxdbbxbpfdbp?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 140*h**2 - 2*h**4 + 143*h**2 - 4 + 8*h - 283*h**2 with respect to h.\nAnswer: -8*h**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 0*y = 0. Let k = 6\/9359 + -28137\/93590. Is y not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20599 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -123130 + 123132. Determine t so that 20\/7*t**4 + 32\/7*t**3 + 4\/7*t**5 + 0 + 0*t + 16\/7*t**r = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 99 - 115. Does w = -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -5*m + 200, -6*m + 52 = -5*m + 5*k. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1407.931 - -1409. Let k = x + 0.121. Let b = k - 0.07. Round b to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -2201300012?\nAnswer: 2201300011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3223.\nAnswer: 11, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(243) - -2*sqrt(243))*3)**2 + sqrt(243)*3*-2) + -5.\nAnswer: -59054 + 162*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 - 76. What is the lowest common multiple of 10 and ((-4)\/8)\/(2\/m)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3647 divided by 521?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000127292471 rounded to 6 decimal places?\nAnswer: -0.000127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, -6, -1 in decreasing order.\nAnswer: -1, -6, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -67*j**2 - 14*j + 12. Let t(h) = 74*h**2 + 15*h - 14. Let a(m) = -10*s(m) - 9*t(m). Let c(p) = 4*p**2 + 4*p + 5. Give -4*a(v) + 5*c(v).\nAnswer: 4*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22\/164005 + -541367877\/94138870. Let i = z - 19\/41. Let v = 76191\/14 + -5445. What is the common denominator of i and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1834, -3765, -5686, -7591, -9474, -11329, -13150?\nAnswer: -14931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*a*m**2*y**2 - a*m**2*y - 12*a*m*y**2 + 23*a*m*y + 2*a*y + 8*m**2*y + 2*m*y wrt m?\nAnswer: -24*a*y**2 - 2*a*y + 16*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0 + 39 = -3*n, r = 5*n + 31. Let u be -5 - (-110)\/105*-3*-7. What is the greatest common factor of u and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27544, -1, 1, -5, 2, 13 in descending order.\nAnswer: 27544, 13, 2, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 248821 by -16.\nAnswer: -248821\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/((-39)\/18)*(-103 - -99).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 15. Solve 3*a - 2*a - 15 = 5*o, -4*a = -z*o for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1231913777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.08 - 0.08. Which is the closest to 2? (a) -0.2 (b) -4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1455*n**2 - 2608*n**2 + 1152*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*a**4 - 3*a**2*n**2 + 349*n**2 + 2*n with respect to a.\nAnswer: -16*a**3 - 6*a*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1488)\/36 - -17) + (-8)\/(-6))\/1.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12224.45l in millilitres?\nAnswer: 12224450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 2. Let u be s(-2). Suppose 55*n = 43*n + 36. Put n, 5, u in descending order.\nAnswer: 5, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 9:06 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 15928.\nAnswer: 31856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5272351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-3 - (-23)\/8). Let j = 11 - i. What is the tens digit of 7*2 + j\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttmtmtt. What is prob of sequence mttt?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 i when two letters picked without replacement from {o: 2, d: 1, i: 11, u: 1}.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2989 - 2918. Calculate the smallest common multiple of 6 and l.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2302 - 2?\nAnswer: 2300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-80) - 3770\/104) + -2*3\/48.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -211 + 211.0000147. Round g to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, t: 3, a: 9}. Give prob of picking 1 t and 3 j.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 134275422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f + 3. Suppose 12 = -0*a + 4*a. Let o be i(a). Let q = 9 + o. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17197.59g to nanograms.\nAnswer: 17197590000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**4 - 3*g + 0*g**5 + 3*g**5 - g**2 - 5*g**2 + 2*g**4.\nAnswer: 3*g*(g - 1)*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 x when two letters picked without replacement from {u: 2, b: 1, h: 2, x: 1, m: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28 - 28 - 56*s**3)*(-4*s + 0*s + 2*s) + 3*s**3 - 3*s**3 - s**4 to q + g*s**3 + r*s + d*s**4 + c*s**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13368 and 29271464.\nAnswer: 4456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -79232 (base 13) to base 2\nAnswer: -110101101110101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5445, -21657, -48671, -86487, -135105, -194525, -264747?\n\"Answer: -5401*j**2 - 9*j - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*w - 1704 = 19*w - 3*f, w + 5*f - 310 = 0. Which is greater: 342 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56076 rounded to the nearest 100?\nAnswer: -56100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 363 divide 6258559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 51*m + 90. Suppose -5*x - 2*n = 206, -7*x - 4*n - 212 = -2*x. What is the hundreds digit of v(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 16. Suppose -t = u - 0*u - 11, -4*u = -t - x. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, -3\/293, 4?\nAnswer: -3\/293","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 39*w**3 + 2*w**2 + w - 2. Let k be o(1). Suppose -41*c = -k*c. Solve 2*l + c = 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 376 - 348. Suppose 36*u + c*u = 24384. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -536079, -2144329, -4824759, -8577369, -13402159, -19299129, -26268279?\nAnswer: -34309609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0, 15, -14, -1.\nAnswer: -14, -1, 0, 9, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 8. Let i be -1 + l\/(-9)*9. Suppose -3*b = i*n + 2*b - 5, n - 4*b = 1. Which is greater: -4\/11 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = d - 4*h - 16, 3*h + 21 = d. Suppose -5*k - 2*t + 39 = 0, k - 2*t - 1 = 2. Let i = d - k. Solve i + 2 = p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 426527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5353681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -78329 - -78328.581195. Let f = n + -2.080505. Let x = f + 2.5. Round x to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 37710.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -4. Let o be (-2 - g - 1)*2. Do o and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 7 + 10*l - 135*l - 9 to the form f*l + k and give f.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 236 (base 7) to base 6\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/80 and -99\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -129\/2590 and 143\/665630?\nAnswer: 665630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 - (-7 + -2 + 13 + -15 - -3).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)*-4 - ((sqrt(45) - sqrt(1125))\/sqrt(9) - sqrt(5))**2) + 3 + (sqrt(1280) - (0 + sqrt(1280)))**2.\nAnswer: -122 - 44*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 1131171 rounded to the nearest 1000?\nAnswer: 1131000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -185 + 222. Suppose 0 = g*x - 15*x - 9284. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28910\/1770 + (-1)\/3?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, b: 1, m: 1, x: 1, d: 2, j: 1}. Give prob of picking 1 m, 1 b, and 1 d.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(-3)\/99*1.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eqge when four letters picked without replacement from vedgqevevgdeegvee?\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77 (base 11) to base 15.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-331)\/((-63883)\/(-5790))*24\/110?\nAnswer: -72\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*l - 51*l = -112. What is the remainder when 25 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -272 (c) 0.1 (d) -1\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1\/3))**13\/((i\/(i\/i**(1\/9)))\/(i\/(i\/(i**(1\/9)\/i)))))**43 assuming i is positive.\nAnswer: i**(989\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -265 + 307. Calculate the remainder when 163 is divided by z.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfqfh. What is prob of picking 1 f and 1 h?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 806961 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7*(-5)\/105 - (-107)\/3. Suppose 3*d + 3*l = j, 0 = 4*d - l + 6 - 64. Suppose -4*n = 22 - d. Put n, 5, -1 in decreasing order.\nAnswer: 5, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 192.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3301 times 0.4?\nAnswer: 1320.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4, 17, 54, 127, 248, 429, 682?\n\"Answer: 2*c**3 - c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + 0\/(-2) - (-18)\/2. Find the third derivative of -5*b**6 + 14*b**6 + 13*b**6 + 20*b**2 - 9*b**s wrt b.\nAnswer: 1560*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bx when two letters picked without replacement from xooxxxodbhx?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*d - 8836 = 5610 + 884 for d.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1008 divided by 8?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 168307295581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 1081884\nAnswer: 1\/270471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 954959065.\nAnswer: 5, 8539, 22367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2681, 1608, 535, -538, -1611?\nAnswer: -2684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2332 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10309?\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -197 - -197.0002391. Round j to 5 dps.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0 - (-230)\/2 - 0 is divided by 5\/(-4)*14\/175*-40?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 175 and 350?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -108 - -464. Let k = i - 350. Let z(o) = 3 - o + 6 - 5 - 1. What is z(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -193?\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1437, -20, 0.2?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -88, -126, -160, -190, -216, -238?\nAnswer: -256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 13*r**3 + 2344*r + 14. Let j(t) = -5*t**3 - 781*t - 5. Give -3*d(m) - 8*j(m).\nAnswer: m**3 - 784*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*g**2*l + g**2 - 1574155*g - 1876506*l**2 wrt l?\nAnswer: -2*g**2 - 3753012*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1*sqrt(3)*-1 + 1 + 1*sqrt(3) + -2.\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -397*z**3 - 405*z**3 + 7*z + 803*z**3 - 2*z**4 in the form b*z**3 + v*z**4 + y*z**2 + s + d*z and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*x + 6786 = 44*x. Let t = -258 - x. Solve 0 = t*c - k - 8, 5 = k - 2*k for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a week in hours?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3563488011?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 - 63*i - 60.\nAnswer: 3*(i - 5)*(i + 1)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 21*s + 9. Calculate n(20).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 285*v + 3158. Give d(-274).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-25))\/((4\/10)\/((-3)\/1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -9. Let r = -511 + 362. Let n = 149.1 + r. Which is the closest to n? (a) d (b) -4\/5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49.2 - 54. Let l = -0.1 + -0.1. Let u = l + p. What is the closest to 0.1 in u, -2\/5, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -61, -1322994 in increasing order.\nAnswer: -1322994, -61, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6260\/126113 or 1?\nAnswer: 6260\/126113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - (31 + -32) - (2 + 1)) + -3 + 53.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -19. Which is the second smallest value? (a) 2\/3 (b) l (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*w - c + 23 = 0, -2*w + 3*c = 27. Let f be -24*86250*(-20)\/w. What is f rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -44\/3. What is the biggest value in 2\/11, -2\/11, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-162)\/4*((-14)\/(-3) + -6). What is the highest common factor of u and 1530?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2 - 1 + 7*o + 2 + 5. Let i(c) = -6*c - 9. Let r(z) = -4*i(z) - 5*v(z). Differentiate r(b) with respect to b.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23.99989 + 24. Round f to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**2\/7 - 294996*y - 76144810014 = 0. Calculate y.\nAnswer: -516243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47848 = 17*r - 139016. List the prime factors of r.\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j - 1. Let x(f) = -86*f - 4. Calculate 4*i(u) - x(u).\nAnswer: 78*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/1872 and -127\/3042.\nAnswer: 24336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p - 1. Let q(z) = z - 1. Let f = -28 - -25. Determine f*q(w) + 2*l(w).\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48652388 to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 2) + 0 - -4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-190)*(-76)\/57.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of g**4\/4 - 2*g**3 + 7*g**2\/2 + g + 4. Let j be x(5). Let c = j + 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306 - 309 + 1071 = 89*i for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -185 + 12635580.12\nAnswer: 12635395.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 11*c = 14*c. Suppose c = -5*i + 84 - 24. Solve 2*p + i = 5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*w + 199*w - 42*w = -6*w + 5096 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is 70590409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 9*v + 3. Let s be k(-8). Let d(g) = g**2 + 2. Calculate the remainder when d(s) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.1886 tonnes in nanograms?\nAnswer: 54188600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-31709)\/(-24) - 3\/(-6). Let m = 5293\/4 - z. Calculate the common denominator of m and (-308)\/(-44) - (-1578)\/(-144).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 7*m**3 - m - 2. Let o(s) = -34*s**3 + 16*s**3 + 15*s**3 + s + 1. Determine 5*o(b) + 2*r(b).\nAnswer: -b**3 + 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((1 + sqrt(612))*2 + sqrt(612) + sqrt(612) + (sqrt(612) + sqrt(612) + sqrt(612) + 0 + -4 + sqrt(612))**2).\nAnswer: -9810 + 168*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 1170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 h when two letters picked without replacement from {t: 2, j: 10, h: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 40 = 4*p. Let x = p - 6. Suppose x*k + 20 = 104. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59541997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 1\/59 (c) -2 (d) -90\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 i, 1 h, and 1 x when four letters picked without replacement from xddihdihhddd?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -0.4, -5, 1.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) 0.53 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 y when three letters picked without replacement from qcyyqceqqe?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4318220 rounded to the nearest one hundred thousand?\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.163 - 9.863. Put -1.6, n, 16, -3, -3\/5 in ascending order.\nAnswer: -3, -1.6, -3\/5, n, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 631, 0, 3, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*x - 1. Let f be (-1 - -8) + 4 + x. Suppose -3*u - f = -0*u. What is the third smallest value in u, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74 + 78. Let f be 5\/(5\/938) - (5 - a). Suppose 2268 = y - f. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1140, -247, 2180, 6909, 14708?\n\"Answer: 128*v**3 - v**2 - 1267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4209*u + 4539*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2779803.53 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - -1. Let j(m) = -m**3 - 5*m**2. Let z be j(-5). Suppose z = 3*o - 9 - 0. Calculate the remainder when k is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -8. Suppose -o = 10 - 31. What is h in 22*h**3 - 9*h - 15*h + 0*h + o*h**5 - 84*h**2 - 4*h**w + 69*h**4 = 0?\nAnswer: -2, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-103 - -58)\/(231\/(-11))?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.083029*328\nAnswer: -27.233512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -6*j**2 + 1007*j - 15. Let b(p) = 7*p**2 - 1006*p + 18. Let w(g) = 5*b(g) + 6*n(g). What is r in w(r) = 0?\nAnswer: 0, 1012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 13*j**2 + 294*j + 1770. Give i(-22).\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) 3 (c) 0.531 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**3 - 2*g**2. Let n be i(-2). Let r(p) = 0*p + 284 - 269 + p. What is the units digit of r(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 333 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 2289990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 525181.6 millennia to decades.\nAnswer: 52518160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = 3*g + 3*h, -3*g = -2*g + 5*h + 51. Let w = -33 - g. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -637631*v**4 - 666088 wrt v?\nAnswer: -2550524*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 p when four letters picked without replacement from bpbbbpbbbpbb?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/191, 4, -36, 0.4, 6, 5\/6, -3\/8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41532 + -2202?\nAnswer: 39330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 385 is divided by 343?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-28)\/(-21)))\/(30\/(-16))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1042 + 15186. What are the prime factors of y?\nAnswer: 2, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*a + 25*a = 61*a + 1206. Let c(h) = 7*h + 47. What is c(a)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g**4 - 440*g**3 - 8190*g**2 + 3960*g + 74115 = 0. Calculate g.\nAnswer: -61, -27, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*y = 2, 0 = -4*x - 2*y + 5*y + 11. Suppose -g + 4*t + 1 - 3 = 0, 4*g = 3*t + 31. Solve -x*l - g = -4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 510\/2813 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f - 104 = 25*f. Let o = -17 - f. Suppose -11*h + 10*h = -o. Calculate the remainder when h is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*5\/((-2)\/((-28)\/7)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -18\/35?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3855*o**2*y**3 + 620181*o**2*y**2 - 4*o*y**3 + 3*o + 8*y**3 - 2*y**2 wrt y?\nAnswer: -23130*o**2 - 24*o + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2 - 113*v - 623. What is k(-6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 - 9*q + 96. Let t(z) = -21*z**2. Calculate y(t(b)).\nAnswer: 882*b**4 + 189*b**2 + 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2151091*m**3 + 2822405.\nAnswer: 6453273*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/((9\/(-3))\/(-3)). Let g(k) = -6*k - 1. Let h(j) be the first derivative of j + 5\/2*j**2 - 3. Calculate w*h(n) - 3*g(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 5*g - 4. Determine z(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -12 + k**2 + 2*k + 9 + 3*k + 5. What is a(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 0 + sqrt(70)\/sqrt(40)*2)**2.\nAnswer: -10*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9461*m - 1172094 + 1172094)*(2*m**4 + m**4 - 2*m**4) + (4*m**3 - 2*m**3 + 0*m**3)*(3*m - 2*m**2 - 3*m).\nAnswer: 9457*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 163*z + 1499. Calculate x(-9).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**3 + g**2 + 9*g - 9. Let c be j(1). Solve 0 = -c*x + 5*y, x + 2*y = -11 - 2 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/2 + (-182)\/39)\/((-1)\/18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*b - 84*b + 166*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -56*j - 4744. Calculate u(-79).\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201210020 + 11?\nAnswer: -201210002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f - 69 = -6 + 58 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q + 9. Let c(r) = -r - 5. Let h = 281 + -255. Suppose d = 2*o + 17, 4*d = -5*o + 6*o + h. Let g = -22 + 11. Determine g*c(p) + o*j(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*r + 2*l + 9, 6 = 2*r + 4*l. Let w = -4 - -1. Let n(c) = -c**3 + 2*c + 3. Let s be n(w). Calculate the greatest common factor of r and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4675866 rounded to the nearest 10000?\nAnswer: 4680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -20, 9, -1, 5, 0 in descending order.\nAnswer: 9, 5, 0, -1, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Convert -1010110101100100000011 (base 2) to base 11.\nAnswer: -16703a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (5 + (-8 + 6 - -6 - 2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-2) + -2 + 27\/9. Which is bigger: r or 7\/2?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86570.\nAnswer: 2, 5, 11, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -0.2 (c) 25 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qkksessksfees. What is prob of sequence sqfe?\nAnswer: 1\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232*g - 6 = -239*g - 6. Solve 2\/3*z**2 + 0*z**3 + g*z + 0 - 2\/3*z**4 = 0 for z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -326*-0.2.\nAnswer: 65.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 - x**2 + 0*x**2)*(3*x**2 - 4*x**2 - x**2 + (x + 0*x + 5*x)*(0*x + 7*x - 2*x)).\nAnswer: 56*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 5:44 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12 - -1191ac?\nAnswer: 1191c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16108 is divided by 65?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + -8 + (13230 - 59) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1764956852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34*15093.\nAnswer: 513162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -8118856862022?\nAnswer: 8118856862021.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1159 - -1149. What is the third biggest value in -3\/32, -2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.81 + 542.81. Let j = -535.731 + f. Let o = j + -0.24. Round o to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrfrfffrrfrffrrrr. Give prob of picking 3 f.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (36\/16)\/((-1)\/(-24)). Let w = -80 + 169. Let h = w - j. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 495*w - 2150. Does 7 divide n(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 11, 0, 116, 2, 96.\nAnswer: -1, 0, 2, 11, 96, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 783701525?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8506\/375 - 2\/125. Find the common denominator of 0 - 117\/10 - 0 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 7 = -13. Let p(j) = -j - 3. Let q be p(-3). Suppose q = 4*b - 2*v - s, 7 = -v + 3. Is -1 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8342 is divided by 8342.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-6))\/((-4)\/(-18)). Let t(d) = d**3 - 2*d**2 + 1. Let u be t(2). Suppose n - 2*m = -2, -5*n - 2*m - 3*m = -5. Sort n, p, u in decreasing order.\nAnswer: u, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - -2*sqrt(88))*-5)\/(sqrt(8) + sqrt(1568)) - ((sqrt(264)\/sqrt(96))\/sqrt(4) - (-4 + sqrt(1100)*-1))**2.\nAnswer: -18747\/16 - 83*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29821618 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12373 + 17743. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/6 + 32\/12. Suppose 2*w - 18 = k*r - 6*r, 5*w + 15 = 0. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a52c0 (base 13) to base 3\nAnswer: 1020221211220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**9\/1512 + k**6\/72 + k**3\/3 - 3*k**2. Let p(x) be the first derivative of i(x). What is the third derivative of p(g) wrt g?\nAnswer: 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -488952.65 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -143, -137, -131, -125, -119?\n\"Answer: 6*h - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 649328 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -589 + 1785. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -2 + -2 - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.3 (b) 0.4 (c) -1\/3 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1170671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/27)\/(u\/u**(2\/9)))\/(u*u*u*u**(-2)*(u**(-1)*u)\/u) assuming u is positive.\nAnswer: u**(-23\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 43.44 and -7753?\nAnswer: -336790.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 77987976.\nAnswer: 5\/77987976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 2*k + 0*k + (2 + 2*k - 2)*(1 + 2 - 1) + 2*k - 4 + 4)*(0 + 0 + 1).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3992, -8032, -12084, -16154, -20248?\n\"Answer: -c**3 - 4033*c + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 less than -1055655?\nAnswer: -1055588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-20) - (-6)\/10. Let f(w) be the first derivative of -1\/2*w**2 + u*w - 1. Let a(z) = -2*z**2. Give a(f(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dmmmmddmmmm. Give prob of picking 1 d and 2 m.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 12.7.\nAnswer: 3.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 145921855 divided by -29184371\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63*c**2*i**4 - 49*c**2*i**3 - 27*c**2*i**2 - 43*c*i**2 + c - 3*i**4 wrt i?\nAnswer: -1512*c**2*i - 294*c**2 - 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by 3470?\nAnswer: -12\/1735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12355*o**2 + 86409*o wrt o?\nAnswer: 24710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 2. Let c be p(-5). Let t be (-4 - 46\/c) + 6\/14. List the prime factors of t + -2 - (4 - 20).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/2 + 7 + (15255\/125 - (-86)\/(-2150))?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -u**5\/70 - 3*u**4\/2 - 902*u**3\/21 - 120*u**2 + 3408*u. What is v in r(v) = 0?\nAnswer: -42, -20, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-18) + 76\/192?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*3\/(-10))\/(11\/((-11550)\/(-21))).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -279 - -295. Let r be (-2)\/(-1)*-34*8\/b. Is r at most -34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -262*j + 2358. Determine c(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*c - 670 + 634. Sort -6, 100, c.\nAnswer: -6, c, 100","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 662*w + 924*w + 784*w to the form r + n*w and give n.\nAnswer: 2370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 u, and 2 k when four letters picked without replacement from {e: 1, u: 1, h: 1, k: 5, f: 1, r: 4}?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 x when four letters picked without replacement from {i: 15, x: 4}?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g + 11. Let i = 569 + -559. Determine c(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b0a (base 14) in base 6?\nAnswer: 140502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*i + 161 = 0, 50 + 33 = 2*h - 3*i. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18712 to the power of 1\/2, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 953\/165 - 88\/15. Let z be 4\/(-10)*(-1 + -4). Let y = 55 + -54.7. Which is the fourth biggest value? (a) y (b) r (c) z (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 676761, 1353553, 2030345?\n\"Answer: 676792*m - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -8 - (-11 + 9)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*b**4 + 123*b**3 + 185*b**2 + 21*b - 46 = 0. What is b?\nAnswer: -23, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.01, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17 and 60204?\nAnswer: 1023468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 975?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2472 and 19467?\nAnswer: 155736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -41*w + 42*w. Let x be w\/85 + 16\/(-40). Suppose -5 + 1 = -4*p. Is x greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/(-6)*((-17)\/(-255))\/(3\/9).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 22*r**3 + r**2 + r - 2. Give n(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2029 divided by -119?\nAnswer: -2029\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 99, 0, -1.\nAnswer: -1, 0, 4, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6485, -6491, -6509, -6545, -6605, -6695, -6821?\nAnswer: -6989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - b**3)*(b + b - 4*b) + 9*b**4 - 3*b - b - 8*b**4.\nAnswer: 3*b**4 - 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -2*q**7\/21 + 9*q**4\/8 + 2*q**2 - 4. Let c(j) be the second derivative of p(j). What is the second derivative of c(d) wrt d?\nAnswer: -240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 129069732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 5\/142442?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) -1\/5 (c) 0.01 (d) 2\/9 (e) -18\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 2, 0.05, -159, -4\/3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 - 9 = -15*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 49*f + 660. Let o be m(-39). What is the highest common factor of o and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0432 and -0.3.\nAnswer: 0.01296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*m + 98*m = q + 16, -4*q + 32 = -4*m. Solve 66 = 13*n + q for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l + 294 = 821. Suppose 2*u + 2*u - 50 = 3*r, -4*u = 5*r - 34. Solve -l + u = -5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -9*u**2 + 64*u - 760. Let n be f(24). Which is greater: -4406 or n?\nAnswer: -4406","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.2, 0.05, 138.6 in increasing order.\nAnswer: -0.2, 0.05, 3, 138.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*d + 71*d + 73*d - 100 = 0 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 521 plus -2371644198?\nAnswer: -2371643677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24567690*g + 12284712*g + 12282974*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10628?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -73, 61, -58, 1, 0 in ascending order.\nAnswer: -73, -58, -3, -1, 0, 1, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o - 2*o**2 + o)*(5*o - 5*o + 5*o**2) - 4*o**4 + 5*o**4 - 3*o**4 to f*o**3 + a + m*o**2 + t*o + i*o**4 and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 685.36 - 684.9. Let r be 0\/2 + 4\/(-6). Is r at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29285 - 1717529895.\nAnswer: -1717559180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 33 (b) 14\/3 (c) 4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -48077 (base 12) to base 13\nAnswer: -35119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2603051557 to the nearest integer?\nAnswer: 1376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 112775 - 112768. Suppose f + 0 + 1 = 0. Let d be (-4)\/(-2)*f\/2. What is the second biggest value in s, d, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*((o\/o**4)\/o)\/o*o**7)**(1\/46) assuming o is positive.\nAnswer: o**(3\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4570.9309 rounded to zero dps?\nAnswer: 4571","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11613915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of 1\/6*m**3 + 1\/240*m**5 + 1\/24*m**4 + 0 - 2*m**2 + 0*m. Let x(r) = 0. What is r?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -45*q - 25. Let n be w(-6). Let j = -977\/4 + n. Which is the fourth biggest value? (a) 1\/3 (b) j (c) -1\/6 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**4\/7 + 100*c**3\/7 + 1506*c**2\/7 + 6248*c\/7 + 4840\/7 = 0.\nAnswer: -22, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 3*g**2 - 5*g + 18. Let k be (9 - 20\/4)\/1. What are the prime factors of x(k)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1086 and -1351732?\nAnswer: 1352818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 15*w**2 - 6. Let v be o(5). Let g be (-1)\/(-8) + v\/(-72). Let q(r) = -r**3 - 6*r**2 - 3*r + 4. What is q(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 106*p**4 + 1002*p**3 + 9*p**2 - 2*p - 3909 wrt p?\nAnswer: 2544*p + 6012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 397, 538, 937, 1726, 3037, 5002, 7753?\n\"Answer: 22*g**3 - 3*g**2 - 4*g + 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1886979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 - 48. Suppose 2*z - 34 = -2*y, z + 4*y - 85 = -4*z. What is the remainder when 49 + 6\/3 + h is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27.5 - 12.7. Round o to 0 decimal places.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -87 + 96. Suppose c = 10*r - 21. Is (-1)\/(1\/r - 2\/5) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 + 56 = 3*t + 23, -3*t - 17 = 3*p + 22 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*5*(3*(5 + sqrt(343) + -3)*5)**2.\nAnswer: 189000*sqrt(7) + 2342250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 68 - 67.9999991. What is s rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 288 - 416. Let s = t + 123. Put -0.1, s, 1, 8 in descending order.\nAnswer: 8, 1, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-375)\/25 - (-148)\/12.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/146 and 47\/38.\nAnswer: 2774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7899 + -4670. What is the thousands digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -339*j**2 - 481*j**2 - j + j.\nAnswer: -820*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5*sqrt(38)\/sqrt(2) + 4 + (2 + sqrt(19))**2*1.\nAnswer: -sqrt(19) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101903*b - 102043*b - 2520 = 0 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-116)\/6)\/((-4)\/6). Suppose -2*u - 14 = -q - 1, v = -4*u + q. Let a(o) = o**2 + 6*o - 8. What is the remainder when a(u) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.52 and -766.5718.\nAnswer: -1165.189136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -5, 2\/99, 17\/13, -4\/5?\nAnswer: 17\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.505 - -9.7. Let a = -0.19357 + v. Round a to 4 dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*v - 179*v + 2585 + 4504 for v.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -7) + -3 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*r + 66 - 66 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1720 and 14620.\nAnswer: 29240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 15*t**4 - 30*t**3 - 67*t**2 + 4*t + 2. Let n(m) = 32*m**4 - 59*m**3 - 133*m**2 + 7*m + 5. Let a(i) = -11*d(i) + 6*n(i). Find g, given that a(g) = 0.\nAnswer: -1, -4\/9, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 4*h - 18, k - 15 = 14*h - 18*h. Factor 282 - 15*w**2 + 26*w - 5*w**3 - 282 + 6*w**h.\nAnswer: w*(w - 13)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, u: 3}. Give prob of picking 4 q.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 72?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3735 is divided by 117?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -0.1, -6, -143, 8 in ascending order.\nAnswer: -143, -6, -2, -0.1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6506409 and 5733.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 4*h**2 + h + 1. Suppose -y + 4 = -0*y. Let d be q(y). Suppose -10 = -5*i + d*o, -4*i + 2*i - o + 13 = 0. Is 4 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of z**4\/4 - 17*z**3\/3 - 17*z**2\/2 - 16*z - 43. Let i be v(18). Solve 3*q - i*q = -3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158802763?\nAnswer: 7, 17, 1334477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -216*-2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1242 = -19*f - 27*f. Solve 6*i - i = 4*u - f, -24 = 3*i - 5*u for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1028333*n**2*w**6 + 175*n**2*w**2 + 5*n**2 - 2*n*w**2 - 2*n*w - 13*w**2 wrt w.\nAnswer: 123399960*n**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 402*d + 6 - 196*d - 12 - 213*d.\nAnswer: -7*d - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -1\/2*m**4 + 7\/2*m - 7\/2*m**3 + 9\/2*m**2 - 4 = 0.\nAnswer: -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11202 + 4220?\nAnswer: 15422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Convert 111124 (base 9) to base 8.\nAnswer: 201612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**3 + 4081942*m**2 + 20409685*m = 0. What is m?\nAnswer: -4081937, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + p - 225, -3*h - 3*p + 153 = 30. List the prime factors of h.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x - 73 = 14 + 111 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 4:48 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 198004433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 5*a + 18, -2*a = 2*j - 5 + 1. Suppose 2*u = u - j. What is the remainder when 23 is divided by -4*((-1 - -2) + u)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 57*x**2)*(1258 - 1258 - 205*x) to the form l*x**3 + a*x + d + u*x**2 and give l.\nAnswer: 11685","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 - 180 - (-14 - 54)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -44, 5, 848 in increasing order.\nAnswer: -44, 1, 5, 848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 12022000120222?\nAnswer: -12022000120230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (-198756)\/(-52) + (-63)\/273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*f - 4*y, 4*f + y = -0*y + 25. Let t be 21*(-1)\/f*-2. What is the highest common factor of t and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-175*z + 606*z + 1 + 275*z)*(7*z**2 + 14*z**2 - 10*z**2).\nAnswer: 7766*z**3 + 11*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2244*z**3 + 3051*z**2?\nAnswer: 13464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 778 = 3*d + 4*w - 301, 5*d - 1806 = w. Suppose 2*f + 95 = d. Is 36 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/((((-54)\/63)\/(-2))\/(3 + 2779\/(-931))).\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + -47 + (-5 + 4 - -2).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57831004 and 308?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 948 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 -4*l = -2*i - 2378 + 470, -4*l + 1896 = -5*i. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a3 (base 11) in base 5?\nAnswer: -2410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1110 = -3*p - 3*p. What are the prime factors of p?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 73*d + 39*d + 67 + 151*d + 879 - 153 wrt d?\nAnswer: 263","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 - 48 + 157 + 9*z**2 - 51.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/194, -3, 0.5 in ascending order.\nAnswer: -3, 5\/194, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/8 and ((-4)\/(-22))\/((-12)\/(-78)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from soskoksosso. Give prob of sequence okok.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)*2 - sqrt(90))\/sqrt(6)*1)\/(1*(sqrt(432) + sqrt(432)*1)).\nAnswer: sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -1694\nAnswer: -4\/847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n - 6. Let k be c(-4). Suppose 782 = k*s + 2*u, -s = -u - 12 - 387. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 194\/796307?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/52)\/((165\/22)\/(-15))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**3 + 93*f**2 - 708*f - 800 = 0 for f.\nAnswer: -100, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 75ed3a + 12?\nAnswer: 75ed4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1076.1953089 to the nearest integer.\nAnswer: -1076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 2:11 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*m**3 + 2*m**2 + m - 287 - 2*m**2 + 0*m + 296 as b + a*m + w*m**2 + z*m**3 and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/21)\/((-9)\/(36\/(-4))).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -3. Let j = 7 + i. Suppose -5*u - 200*y + 70 = -205*y, 0 = u - 3*y - 24. Solve -j*d - u = -d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1, -5, -31, -91, -197, -361, -595?\n\"Answer: -2*f**3 + f**2 + 7*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4283 and 3.2149?\nAnswer: -13769.4167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.066 + -63.066. Let f = -74 - j. Which is the nearest to f? (a) -0.2 (b) 4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5033581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -177*k + 3 - 3 + 210*k to a*k + q and give a.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6088241l?\nAnswer: 608.8241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 272269849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wfm when three letters picked without replacement from {m: 1, w: 5, f: 4, v: 1, l: 5, i: 1}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.042+7\nAnswer: 7.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 15*f**3 - 5*f**2 + 5*f - 5. Suppose 2*a = -g - 187 + 176, 3*g = -4*a - 27. Let j(w) = 15*w**3 - 6*w**2 + 6*w - 6. What is g*j(x) + 6*n(x)?\nAnswer: 15*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 690 is divided by 99?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.5, -10, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 66*y**3 + 111*y**2 - 24*y - 54. Let h(z) = z**2 - z + 9. Let t(b) = -6*h(b) - u(b). Factor t(i).\nAnswer: -3*i*(i + 2)*(22*i - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of 0 + 0*m**2 + 0*m**3 - 5\/12*m**4 - 2*m. Let o(p) be the third derivative of p**4\/8 + 149*p**2. Determine q(o(x)).\nAnswer: -45*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z + 4*z + 3*z**4 - 10*z**2 + 2*z**3 - 5*z**4 - 2*z + 6*z**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6144.45 to the nearest ten.\nAnswer: 6140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62951366 or -62951365?\nAnswer: -62951366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3029047 is divided by 757258.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-20) - 1)*(-130)\/1430. Put p, 4\/11, -0.074 in descending order.\nAnswer: 4\/11, p, -0.074","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3*n - 3)*(3 - 49*n - 2 + 54*n).\nAnswer: -15*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*v - 22*v + 2*v + v to o + r*v and give r.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 25938 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -8 + 0*k - 8*k + 8 - 3. Let l be c(-1). Let r(i) = -13*i + 70. Let n be r(l). Sort 4, n, 2 in decreasing order.\nAnswer: n, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240607.\nAnswer: 240607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-6*(-5 + sqrt(242)*-4)*-2)**2*1*2 + -5.\nAnswer: 126720*sqrt(2) + 1122331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 13d (base 15) to base 11\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64.8 - -65. Sort y, -5\/4, -0.5, -2.\nAnswer: -2, -5\/4, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 143 - -2330?\nAnswer: 2513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/5? (a) 3 (b) 2 (c) 89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 179.6 - -587.5. What is a rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**6*c)\/c**(3\/8)*c**(-1)*(c**(-2\/11)\/c)\/c*c)\/((c**(1\/2)\/c*c**4)\/(c*c**(-8)*c*c**0\/c)) assuming c is positive.\nAnswer: c**(-533\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8179\/(-7) + -5 + 12)\/(26\/14). Which is greater: w or -624?\nAnswer: -624","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8372833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5690?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*5\/(5\/2). Suppose -3*y + 86 = 4*d, -2*y - b*d + 5*d = -63. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -14*d**3 + 4*d**2 + 4. Let h = -812 + 805. Let w(t) = -28*t**3 + 7*t**2 + 7. Calculate h*y(s) + 4*w(s).\nAnswer: -14*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31588 - -60413. Suppose -5*j = -5*m - 529980, -2*m = -j + p + 13991. What is j rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -4*s**9\/7 + s**5\/60 + 97*s**4\/24 + 268*s**2. Find the third derivative of t(n) wrt n.\nAnswer: -34560*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o - 124*o = -532. What is the biggest value in o, 6, 0.1, 11, 2\/5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of 1\/8*o**4 - 1\/20*o**5 - o**2 + 0 + 0*o + 0*o**3. What is the second derivative of g(z) wrt z?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 10*z**2 - 11*z + 7. Let j be b(7). Suppose 3*v + 102 = -18. Let o = j + v. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121222 (base 8) in base 4?\nAnswer: 22022102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-42 + 3 + 42)\/(-1 + (-2)\/(-5)). Sort -4\/3, 1\/6, 6, d in increasing order.\nAnswer: d, -4\/3, 1\/6, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*c**2*i*k - 3*c**2*i + 12*i*k + 2*i - 2*k + 2 with respect to k.\nAnswer: -5*c**2*i + 12*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6988423154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 110130594?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 36305897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of 1\/20*x**5 + 0 + 1\/24*x**4 + 0*x - 1\/3*x**3 + 13*x**2. Is 34 a factor of a(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than or equal to 12\/101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2461256 + 379047589\/154. Let f = 620\/7 - r. What is the common denominator of 13\/8 and f?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 - -39. Suppose 0*t = -3*v - 2*t + 116, -3*v + 117 = 3*t. What is the remainder when v is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7036224, -7036228, -7036234, -7036242?\n\"Answer: -x**2 - x - 7036222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3286*j + 534*j - 817*j + 3*j - j + 2*j + (-1 + 3 - 3)*(-2*j - 4*j + 5*j) + 2 + j - 2 - j - j + 3*j.\nAnswer: 3010*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8d7 (base 15) to base 11.\nAnswer: -1560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4, -4, -2, 2, 8?\n\"Answer: j**2 - 3*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**2 + 1404583*o\/7 + 57330 = 0. What is o?\nAnswer: -2\/7, 200655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 11:03 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 28 = -b - 4*s, -b + 2*s = -19. Let t(h) = 20*h - 8*h - b*h. Let d be (0 - 15)*(-2)\/6. Let k(a) = 6*a - 1. Calculate d*t(r) - k(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/2)\/((-18)\/8). Let v = 46.8 + -46.8. What is the second biggest value in -4, z, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-198))\/((66\/(-231))\/((-3)\/(-7))).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + z + 10. Let f be 6*1*(-3)\/(-9). Let i = f - 2. Is m(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*l + 39 = -0*l - 309 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003154564511 to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/50 of a hour?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-126)\/14)\/(-504)*(-10)\/2*14\/(-35)\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -63 + 102. List the prime factors of k.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 0) + -3 - (30 + (11 - 49))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 66*h - 242. What is f(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u - 2*u**2 - 10*u + 4*u)*(408*u - 409*u + 23*u**2 - 69*u**2).\nAnswer: 92*u**4 + 48*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 150204, 300284, 450366, 600450?\nAnswer: 750536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 10*y**2 - 11*y + 1. Let c be o(11). Suppose -3 = -l + c, 5*l - 12 = 2*b. Suppose 0 = 4*g + b*g - 16. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1030, -1244, -1458, -1672, -1886?\n\"Answer: -214*q - 816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -9. Let t be ((-1)\/(-1))\/((-3)\/(-1)). What is the nearest to -3 in t, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d**2 + 10*d - 6. Let m be l(7). Let s be m\/4 - 5\/(-20). Let o = s - -127\/6. Which is the nearest to o? (a) -0.1 (b) 0.5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1018373 and 0.\nAnswer: -1018373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 not equal to 80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 226*d + 2267. What is a(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57875498617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 11 + -23 - (-4 + 0)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 7*x - 12. Let i be o(4). Suppose i = m + 44 - 45. Let v = 3 + -1. Put v, m, 3 in descending order.\nAnswer: 3, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from llnnln?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 524*a + 2762 + 32080 = 4450 for a.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(19) - sqrt(19)) + -4)*-2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -61*t + 64. Calculate o(2).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 41472457?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -4. Let q(c) = -3*c - 6. Let s = -12 - -8. What is the remainder when i is divided by q(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d = -31*d - 44 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -246 divided by 17281.\nAnswer: -246\/17281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-168)*-6*22?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -13 (b) 4 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.1 rounded to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + v = 52. Let f be (-4)\/(3 - -1) + 54 + -1. Calculate the highest common divisor of v and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/28*(-4 + (-27 - -38))?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9953*d = 9961*d - 40 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1398 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -9886?\nAnswer: 9886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2*a - 2 + (-a - 4*a + 3*a)*(-1 + 0 + 3) - 152*a + 640*a + 1645*a to m + w*a and give w.\nAnswer: 2131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -14*c. Let f(s) = 8*s**2 - 2*s**2 + 10*s - 10*s. Calculate q(f(y)).\nAnswer: -84*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 + (-35)\/(-28))\/((-9)\/298). Which is smaller: 125 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -469 (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133 - 30133011?\nAnswer: -30133210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/4, -5, 113?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -7*m + 44. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b*g**2 + 3474*b*g + 65628*g**2 + 2*g wrt b?\nAnswer: 2*g**2 + 3474*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-48)\/5*20\/(-6). Suppose 5*o + 3*o = q. Suppose l - 2*l - 1 = -v, -5*v - 4*l + 14 = 0. Calculate the remainder when o is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a microgram in nanograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2 - 3 + 3 - 1 + 64*k. Is o(2) a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**5\/9 + 1567*g**4\/9 - 757732*g**3\/9 + 35258944*g**2\/3 - 57176544*g + 68011920 = 0. What is g?\nAnswer: 2, 3, 230, 666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 39*o - 2271. Give k(79).\nAnswer: 810","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8620?\nAnswer: 2, 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1064 (base 8) in base 2?\nAnswer: 1000110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(1100)*-2 + (sqrt(1100) + -1 + 5)**2.\nAnswer: 60*sqrt(11) + 1118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-40)\/12 + 4)*15. Suppose -12 = -3*h + 3*a, 4*h - s - 1 = -a. Suppose -h*o + 158 = j, -3*j = -j + 4*o - 310. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 2\/9 (b) -0.12 (c) 51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -113 - -562\/5. Let c = 1\/30 - 7\/10. Put v, c, -1 in increasing order.\nAnswer: -1, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(sqrt(24)\/sqrt(3)*4).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396 - 204 = 38*u + 12*u for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3059106 rounded to three decimal places?\nAnswer: 0.306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**2 + 3*h. Let y be d(2). Let a = 4 + y. Find the second derivative of -3*z + a*z + 0*z + z**3 wrt z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/2, 3\/8, 199, 1.6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 762 times 736\nAnswer: 560832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7 - 0 - (1 - 0). Let z(k) = -k**2 - 8*k + 4. Let a(i) = -4*i**2 - 25*i + 12. Let o(f) = 2*a(f) - 7*z(f). Determine o(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 - (155 - -20) - (8 - 1)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 2*s + 3. Let h be d(0). Let t be (-1 - -13)*1\/(h - 1). Suppose -t*b + b = -260. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(2\/9))\/c)\/c)**(-7\/4) assuming c is positive.\nAnswer: c**(49\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9016.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2279052 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23299325999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/(b*b*(b*b**(3\/4))\/b))\/b)*b*b)\/(b\/((b\/(b*(b**(-1\/33)*b)\/b)*b)\/b)) assuming b is positive.\nAnswer: b**(631\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5437776945+0.0898\nAnswer: 5437776945.0898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3108197 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/36 and ((-9)\/3)\/(3105\/(-736))?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2542, 4.\nAnswer: -2542, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -329 in -0.3, -1\/8, 5, 8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 12:43 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -5 + -1 + sqrt(1700))**2 - -2*(2 + sqrt(1700) + sqrt(1700) + -2)**2) + -3.\nAnswer: -220*sqrt(17) + 15418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (328\/16*9)\/((-2502)\/(-556))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 547*g**3 - 58 + 30.\nAnswer: -547*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 654*d**2 - d - 449 + 490*d**2 - 638 wrt d.\nAnswer: 2288*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2923897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -16037.06126 rounded to the nearest one hundred?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -369*q**2 + 147*q**2 - 10*q**2 - 746*q**2 as n*q + i*q**2 + z and give i.\nAnswer: -978","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 5)*(2 - 3 + 0 + 2*d)*(0*d**2 + d**2 - 3*d**2).\nAnswer: 8*d**3 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r**3 - 28*r**2 + 11*r - 5. Calculate h(-9).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -44) + -46 - 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -178252 and 0.2.\nAnswer: -35650.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**4 - 2*o**4 + o**4 + (-3*o + 3*o + 2*o)*(5*o**3 - 4*o**3 + 0*o**3) - 4*o**4 + o**4 - o**4 - 1309*o**3 + 2343*o**3 - 2*o**4 - 1228*o**3.\nAnswer: -7*o**4 - 194*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9361.9985149 - 9362. What is k rounded to 4 dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7106.\nAnswer: 2, 11, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 506, 389, 410, 569?\nAnswer: 866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/6 - -1 - (-579)\/(-18). Let c = f + 55. Let j = c - 7. Calculate the greatest common divisor of j and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1384686 and 3096.\nAnswer: 5538744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6759 and 704628.\nAnswer: 529175628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -43, -94, -153, -226, -319, -438?\n\"Answer: -w**3 + 2*w**2 - 50*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 8*g**2 + 17*g + 7. Let b be a(-5). Let l(c) = 2*c**3 + 5*c**2 - 2*c + 7. Let z be l(b). Solve 0 = -2*u + z*u - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.3 + 3. Let x = 229 - 231. Which is the nearest to 2? (a) d (b) 5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppxppppgxxpppx. What is prob of picking 3 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/3*6*2\/12. Let y(f) = -434*f - 431*f + 1294*f - 430*f. Let g(j) = -14*j. Determine i*g(w) + 48*y(w).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1254530.\nAnswer: 2, 5, 125453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372 is divided by 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6789649 and 1432?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**3 - f**2 + f**2 + 3*f**4 - 5*f**2 + 1 + 3*f**2 as a + j*f**3 + g*f**2 + l*f**4 + q*f and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 2:55 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 574, 571, 570, 571, 574, 579?\nAnswer: 586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (66\/55)\/(8\/(-5)). Let r = 2 + -2. What is the nearest to r in y, -2\/7, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6014.14101 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20621216.\nAnswer: 2, 7, 11, 8369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1340*-3\nAnswer: -4020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -407 (c) 0.671 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0093493757304 less than -2.6?\nAnswer: -2.5906506242696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*l - 535*l + 166*l - 1224*l.\nAnswer: -1484*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*z - 6*z + 13*z)*(6 + 2*z - 6) + 22*z**2 - 8*z**2 + 11*z**2.\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 25123.47 rounded to the nearest 100?\nAnswer: 25100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 26135 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 11*y**2 + 27. Suppose 0*a - 128 = 16*a. Is 7 a factor of d(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 2590648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2790*x = 2793*x + 2*w - 184, 5*w - 229 = -4*x. Let c = 1046 - -76. What is the greatest common divisor of x and c?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-2*(sqrt(68) - sqrt(68)*2)*1)\/(3*(sqrt(100) + sqrt(100)*-1 + sqrt(100))))**2.\nAnswer: 16*sqrt(17)\/15 + 3668\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15697 is divided by 254?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 4:13 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-3))\/(4*35\/30)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -o - 2140 + 49, 5*o = 4*a - 1677. Let j = -818 + a. Round j to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.88 + 5.58. Which is the second smallest value? (a) -2\/25 (b) -1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5*i - 385 = 0, -4*f - 348 = -6*i + 2*i. Let r = f - -132. Suppose -z + r = 4*z. What is the smallest common multiple of 8 and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 137877421?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 705 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/8 or 1?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.3 - 50.3. Let r = 46.0000224 + i. Round r to 6 dps.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + z - 9, -5*z + 23 = 2*k - k. Let n = -377\/5 - -75. Which is the nearest to -28? (a) 4 (b) n (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m - 3. Let v(b) = -b**2 + 8*b + 15. Let i be v(10). Let a be q(i). List the prime factors of 46\/4*28\/a.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z - 7*z - 12*z**4)*(4*z - 5*z + 3*z)*(1 + 4 - 3).\nAnswer: -48*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/4 of a year in months?\nAnswer: 219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 19*n + 107. Let r be k(-5). Let a = 36 - r. Let i be (-2)\/(-7) + 2\/(-7). Solve i = -3*y + 3*m + a, y + 2*m - 12 = -4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250 is divided by 83.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zldllzzdllxdddzlzdzl. What is prob of sequence dz?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 12:08 AM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -664, -2179, -5110, -9925, -17092, -27079?\nAnswer: -40354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 349826 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + -2 - (4 - 5). Suppose m*i - 490 = -5*l + 5*i, 3*l - 2*i - 292 = 0. Suppose 9*z - 7*z - l = 0. Calculate the remainder when z is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 8, t: 1, f: 6}. Give prob of picking 2 w.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 122*q - 586. Give u(-103).\nAnswer: 1371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 310.1 + -296. What is h rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10079 is divided by 177?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -134348*l**4 + 86613 wrt l.\nAnswer: -537392*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) 195 (b) 0.01 (c) 4 (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7711 - -26611. What is w rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001706582106 rounded to 5 decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15252\/4464 - (-26)\/(-8). What is the nearest to 4\/3 in -2\/7, v, -2\/11, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 5*r - 3*r - 17 - 12 to v*r + d and give d.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48 + -28. Let y(b) = -48*b - 276. What is the remainder when m is divided by y(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*x + 20. Let d(i) = -i - 1. Let l(c) = c - 10. Let k(g) = 2*d(g) + l(g). Let z be k(-15). Solve 2*a + 14 = x*w - 9*w, 4*w = -z*a - 7 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 11*b**2 + 17*b + 136. Let d(v) = -2*v**2 - 3*v - 24. Let g(z) = 17*d(z) + 3*i(z). Let n(l) = -9*l - 78. Give g(n(r)).\nAnswer: -81*r**2 - 1404*r - 6084","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -10207.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/4*-1*24\/42?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.516 - 0.7?\nAnswer: 38.816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1491 minus -1388912.87?\nAnswer: 1390403.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 441 - -1?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*(-2*sqrt(95) - sqrt(95))*6)\/(sqrt(5) + 4*sqrt(80) + 1*(sqrt(20) + sqrt(5))) + -2.\nAnswer: -2 + 9*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8120*y**2 + 16465*y + 450.\nAnswer: 5*(y + 2)*(1624*y + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -17, -5, 3\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55038?\nAnswer: 2, 3, 9173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -584, -582, -572, -548, -504?\nAnswer: -434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 0*m**2 - 1\/14*m**4 - 2\/7*m**5 - 1 + 2\/21*m**3 - 1\/7*m**6 + 0*m. Factor r(t).\nAnswer: -2*t**2*(t + 1)**2*(3*t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, -1\/11, -49, 0.4, 217 in decreasing order.\nAnswer: 217, 0.6, 0.4, -1\/11, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*k = -0*p + 29, p - 4*k + 22 = 0. What is the common denominator of 9\/p*(-90)\/4 and (-811)\/(-36) - 2\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 35413401465 and 4380?\nAnswer: 35413397085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 7*q**2 + 8*q - 15. List the prime factors of i(7).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17968170.\nAnswer: 2, 3, 5, 11, 54449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, f: 2, v: 2, s: 5, u: 5, h: 1}. What is prob of picking 1 h, 1 z, and 2 v?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - w - 1. Let h be j(0). Let a = -1 - -2. Let m = -12 - -3. Sort h, a, m in ascending order.\nAnswer: m, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 360, -0.08?\nAnswer: 360","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 21 - 22 - (-2 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(6*sqrt(78)*2 - (2*sqrt(78) - sqrt(78))*2))\/((sqrt(36) - sqrt(432)\/sqrt(48))\/(sqrt(12)\/sqrt(8))).\nAnswer: 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 1372840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2770916)\/(-5)*(494\/(-52) + 12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 7*i + 4. Let k be ((-1)\/(-2)*-4)\/(6\/(-24)). Let m be n(k). Calculate the highest common divisor of m and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f + 1663*f**3 - 45*f - 1659*f**3 - 30*f.\nAnswer: 4*f**3 - 67*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 837 - 834. Solve -3*m = 5*v, 0 = -h*v - m + 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*k - 8313 - 7681 = 0, 20 = -4*k. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**5 - i**4 + 1478*i**3 - 62341*i**2 wrt i?\nAnswer: 60*i**2 - 24*i + 8868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4592775 a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-19) + -2 - 8118\/5643\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + -2)*(-33732758)\/402 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(605) - sqrt(605)*-1)*6)**2 + 5 + 2) + 4.\nAnswer: -174250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1345\/69 + -123\/46. Calculate the common denominator of -37\/23 and g.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 15 = i, 4*t + 4*i - 11 = 1. Which is the fourth biggest value? (a) -0.4 (b) t (c) 0.2 (d) 0.066\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20222443 + -242?\nAnswer: -20223240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 2523.\nAnswer: 12615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 + -1 + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.030143 and 2\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.13 - 5.13. Let p = -4.5 - j. Which is the second biggest value? (a) -0.4 (b) p (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 942*j**3*r**2 + 114*j**3*r - 3*j**3 wrt r.\nAnswer: 1884*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 52\/5 of a meter?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*q = -2*q + 816, 0 = -2*o - 5*q + 348. Suppose -33*f + 31*f + o = 0. Suppose -18 - 26*y + 214 + 4*y**2 + f*y = 0. What is y?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 164517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4*c + 7 = -6*c, -2*a - 10 = -4*c. Let v be 3 + 4\/6*a. Let m = -11 + 67\/6. Are v and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**2. Let m(y) = 11*y + 30. Let x be m(5). Let p(a) = 84*a + 80*a + 21*a - x*a. Calculate k(p(l)).\nAnswer: -30000*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of r**4\/4 + 2*r**3\/3 + r**2 + 24*r - 6856. Let g(n) = -2*n**3 - 5*n**2 - 4*n - 47. Calculate 2*g(i) + 5*t(i).\nAnswer: i**3 + 2*i + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11, -5637635, -3?\nAnswer: -5637635","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hxxymmxxxmmxxjmyjx. Give prob of picking 1 y, 1 h, and 1 m.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/60, 0.3, -2\/15, -4\/3, 0.5 in decreasing order.\nAnswer: 0.5, 0.3, 1\/60, -2\/15, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, u: 7}. Give prob of picking 2 d.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-28)\/(-35)*(-170)\/272. Which is the nearest to -0.5? (a) z (b) 0.025 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18\/5 - 9\/5*u**3 - 3\/5*u + 6*u**2 = 0 for u.\nAnswer: -2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29328455?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24531, 49066, 73599, 98130, 122659?\nAnswer: 147186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 1\/8, -1.3, 1344?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/6*(-159)\/(-53)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 + f**3 + f**3)*(-1 + 0 - 1) + (1 + 1 - 4)*(-4 + 4 + f**3) - 3*f**3 - f**3 + 2*f**3 - 4*f**3 - 2 + 2.\nAnswer: -10*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -267, -354, -225, 120?\n\"Answer: 108*q**2 - 411*q + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.781994 take away 8130?\nAnswer: -8129.218006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -13*m - 12. Calculate t(-6).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 24168*o**3 - 9*o**2 + 5*o + 6. Let a = -49 + 55. Let r be j(a). What is r rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from upuuuuuup. What is prob of picking 2 p?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-20958)\/(-2940)*14 - 100\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 + 2*u**3 + u**2 + 0*u**2)*(-13*u - 93*u - 5*u**2 + 9*u**2).\nAnswer: 8*u**5 - 200*u**4 - 318*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -6535551.\nAnswer: -6535551.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00205680973 rounded to 4 dps?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 437036 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fmf when three letters picked without replacement from {t: 1, l: 1, o: 1, m: 1, f: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39121, 39119, 39117, 39115, 39113?\nAnswer: 39111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o - 10. Let x = -260 - -264. Suppose 4*b - 16 = 4*v + 6*b, -x*v - 18 = b. What is j(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**9)\/t)**(2\/11)\/(t**(2\/3)\/t*t*t*t*t\/(t*t**(-6\/13))) assuming t is positive.\nAnswer: t**(-640\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -137, 4, 0.5, -0.4, 1\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 210 and 288.\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 54*l - 12. Let b(p) = -5*p**2 - 163*p - 37. What is -2*b(g) + 7*o(g)?\nAnswer: 3*g**2 - 52*g - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 j, 1 w, and 1 l when four letters picked without replacement from wwfvffwlwfwjfjjfwvfj?\nAnswer: 56\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2. Let t(u) = -429*u. Calculate t(k(s)).\nAnswer: -429*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -22 * 97\nAnswer: -2134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - -5 - 11 - 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -2*b + 16. Let r(d) = d**2 + 4*d - 3. Calculate r(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-234)\/(-195)*((-10)\/4)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 21071, 21072, 21073, 21074, 21075?\n\"Answer: p + 21070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*i + 15 = -n, 3*n - 41 = 5*i. Let h = n + -11. Let u be (4 - 16)*2\/h. Solve 2*w = -w + u for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d**2 - 51*d - 113. Give c(15).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 greater than or equal to -541885?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - 6 - (96 - 138).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*p**3 - 71*p**3 + 151*p**3.\nAnswer: 135*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 7*d - 5. Suppose 6*p - 3*p + 15 = s, -39 = -4*s + 5*p. Let q = -168 - -186. Suppose s*o - 18 = q. What is n(o)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 (base 11) in base 3?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30199 and 161759.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 + 38*d**2 + 24*d - 216.\nAnswer: 2*(d - 2)*(d + 3)*(d + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -13*v**2 + 5*v + 17. Let r(o) = 3*o**2 - o - 4. Calculate -2*j(c) - 9*r(c).\nAnswer: -c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 367443970 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -9*r**3 + r**2 + 3*r - 2. What is f(-2)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 874*l. Let w(s) = -s. Determine k(w(z)).\nAnswer: -874*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -38 (b) 11 (c) 1 (d) 0.07 (e) -0.5 (f) 0.0469\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 211 = 4*y + 5*m, -y + 57 = -2*m. Find the second derivative of y*c**5 + 16*c + 4*c + 38*c wrt c.\nAnswer: 1100*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -14, -3, -4, 4, -11 in descending order.\nAnswer: 4, 3, -2, -3, -4, -11, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 272 divide 305773696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -14.4. What is the nearest to -2\/7 in z, 1\/3, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*r + 54. Suppose -3*f + 7*f = 4*l, 3*l = 5*f - r. What is the common denominator of (-186)\/168 - l - (-2)\/(-8) and -29\/142?\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 626654, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qnzxqhln. Give prob of sequence lh.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (0 - 3 - (10 + -12) - -9)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-409)\/(-1 + (-1)\/(-2)). Let u be n\/(-897)*(-6)\/(-7). Let h = -2\/161 - u. Which is smaller: h or 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxxu when four letters picked without replacement from wuuxuxuxuxwxx?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1472891134 to the nearest integer?\nAnswer: 1138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -281*a - 10688. What is x(-38)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.1399 * 635\nAnswer: -88.8365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -866340.\nAnswer: -1\/866340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 140*d**3*y**3 + 2*d**3*y**2 - 65*d**3*y - d*y**2 wrt y?\nAnswer: 840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10\/13 - -27\/52. Let x = 51 + -28. Let r = 18 - x. Which is the third smallest value? (a) r (b) 2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -134132 + 316111. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 594 and 726.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 divided by -18.\nAnswer: -53\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*i - 7*i - 16*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -26, -23, -18?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -8. Suppose 7*n - 2*n = u. Solve n*r + 3 = r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/41184 and -47\/208?\nAnswer: 41184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 50 = -a. Let f = a + 12. What is the derivative of -1 - 5*r**3 + 5 + f*r**3 wrt r?\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - -1. Let x be (-1 + 5)*(-3)\/4. What is the least common multiple of (1\/(-2))\/(x\/c) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 62 = -47. Does 18 divide (1\/2)\/(7555\/(-2520) - f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z**2 + 2*z + 4. Let a(p) = -4*p - 23*p**2 - 3 - 4 + 37*p**2 - 9*p**2. Determine -4*a(n) - 7*b(n).\nAnswer: n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-540)\/(1425\/(-470) - -3) - -1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -214*w + 0 + 11\/2*w**2 - 1\/3*w**3. Let p(u) = -2*u. Determine p(z(c)).\nAnswer: 4*c - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 v when four letters picked without replacement from wjvvqwlqwqqvjw.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 2 - (-76 + 74).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 0.093162663?\nAnswer: -0.465813315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*l + 15 + 42 = 19 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 125, 121, 131, 161, 217?\n\"Answer: y**3 + y**2 - 14*y + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 32843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1663.4 - 1663. Let u = 0 - 0. What is the second smallest value in u, r, 0.3, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2468917?\nAnswer: 11, 19, 11813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.1, 0.01, 1, 0.08, 282\/23?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 268123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 44550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2099*d**3 + 2*d**2 - 2*d. Let p(y) = -y**3 - 8*y**2 + 8*y - 8. Let l be p(-9). Is k(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57 + 56.9999929. What is y rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 19*b**2 - 6*b - 12. What is the remainder when 183 is divided by g(-2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 46*q + 7. What are the prime factors of z(5)?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5 = -2*g + 4*z, 2*g + z + 1 = 0. Suppose -4*q + 2 = -14. Calculate the lowest common multiple of q and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 8*w + 3. Let x(z) = 9*z + 2. Calculate 3*g(i) - 4*x(i).\nAnswer: -12*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three eighths of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (74\/999)\/((-920)\/(-275724)).\nAnswer: 111\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7687 or -7673?\nAnswer: -7673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2 - 6 - n + 2*n + n**2 + 1. Suppose -r - 12 = 3*z, 0 = -5*z + 2*z + 2*r - 21. Does 8 divide o(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -168 - -10.4\nAnswer: -157.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5384902907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 - -71. Suppose 5*b = -10, 0 = -3*i + 5*i - 4*b - 248. Suppose 4*a = 10*a - i. Calculate the greatest common divisor of a and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1348727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 13*r + 17. Let i be x(14). Suppose 0 = 2*a - i*q - 54, -2*a + 46 = 2*q - 7*q. Calculate the greatest common factor of a and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*(sqrt(1900) + 0) + -5*(1 + sqrt(1900) - sqrt(1900)) + sqrt(1900))**2.\nAnswer: -600*sqrt(19) + 17200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*s - 3*s + 93226 = -37226. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 9*o**6\/40 - 3*o**5\/5 + 5*o**4\/16 + o**3\/4 - 9*o. Let b(v) = 0. What is v?\nAnswer: -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/2391 and -11\/243?\nAnswer: 193671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 15 = 4*i, 9 + 4 = -5*i + 2*x. Is 4*i\/(-20)*55 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -4 + 10 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4.8, -0.2, 3, -7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 108.86 + -113. Let q = w + 0.14. Which is the nearest to -1? (a) -0.3 (b) q (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 3*z**2 + 3*z - 7. Let q be g(3). Solve -y + q = -0*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 d when two letters picked without replacement from gtgdrggjgjgjl?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h + 83. Let d be b(-20). Suppose 0 = f - 0*u + d*u - 21, f - 31 = -u. What is the highest common divisor of 84 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 1 - 1)*(6 - 4 - 1)*(1 - 3 - 1).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) -3 (b) -117 (c) -4\/3 (d) -2.1 (e) 0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 71 - 35. Suppose 0 = -5*w - b + t, 2*b + 36 = 4*w + 10. Let n(q) = 12*q + 6. Is n(w) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 6 = 30. Suppose 0*g + 4*g = u - 5, -5*g - w*u = -15. Put g, -70, 2, 5 in decreasing order.\nAnswer: 5, 2, g, -70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 + 5*v - 72. Let o be r(-6). Let p be o\/(-54)*64\/80. Find a, given that 0 + 0*a**2 - 1\/9*a**4 - 1\/3*a**3 + p*a = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -249307643*m**2 + 2*m - 83538221 wrt m?\nAnswer: -498615286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of r**6\/66 + 24*r**5\/55 + 137*r**4\/44 + 42*r**3\/11 - 144*r**2\/11 + 7654. Find y, given that l(y) = 0.\nAnswer: -16, -6, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -69*q**2 - 1 - 32*q**2 - 122*q**2. Let n be i(-1). Let x = 10 - n. Calculate the greatest common divisor of x and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5771 + 5769.61. Let u = 240 + -238.71. Let b = u + s. What is the nearest to 0 in b, -2\/11, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyuuyyyuyuuuyy. Give prob of sequence yu.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-36))\/(788\/1182)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 260829 and 90.\nAnswer: 2608290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0.1. Let s = -0.7 - 4.3. Which is the biggest value? (a) s (b) 4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18 + 4 - (-2)\/(-1). Suppose 6*u = 2*u - j - v, 2*u - 2*j = -20. Let l(i) = i**3 + 5*i**2 - 5*i + 7. Calculate l(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 16*s**3 - s**2 - 6*s - 26. Let k(x) = -13*x**3 + x**2 + 5*x + 24. Let t(i) = -5*k(i) - 4*y(i). What is t(0)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 971*j + 2. Let k(y) = -56*y. Determine k(z(h)).\nAnswer: -54376*h - 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in nine tenths of a kilogram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 15 = n - 5*u, 5*n = u - 31. Let i be 6\/3 + 15 + 3. Let y = n + i. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 8. Suppose -o - b = -16. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/334971 and -35\/430677.\nAnswer: 3014739","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(2\/5)*t)\/(t**(11\/4)*t) assuming t is positive.\nAnswer: t**(-27\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k + 2. Suppose -4*x = -0 - 28. Calculate v(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/48 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 2*j + 0*j)*(17*j**2 - 32*j**2 + 0*j**2 + (-1 + 1 - j)*(4*j + 3*j - 5*j) - j**2 + 5*j**2 - 5*j**2) + 2*j**2 - 11*j - 2*j**3 + 9*j - 3*j**3.\nAnswer: 13*j**3 + 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122251160 is divided by 304?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -7) + (3 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, -77, -186, -295?\nAnswer: -404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -3 (c) 4 (d) 467\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**3 + l**2 + l - 4. Let f be g(3). Suppose m = 3*r - f, -2*r - 4*m + 82 = r. Suppose -6 = a - r. What is the remainder when 46 is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 682 - -8612. List the prime factors of w.\nAnswer: 2, 3, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = x - 4. Find the third derivative of 11*z**2 + 17*z**5 + 2*z**x - 30*z**5 wrt z.\nAnswer: -660*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kn when two letters picked without replacement from {a: 2, k: 1, c: 4, z: 2, n: 6}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 897*b + 34. Let j(v) = 2691*v + 119. Give 7*d(t) - 2*j(t).\nAnswer: 897*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 74 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 8*n**2 + 521*n + 132. Let u be w(-65). Solve 55 = 4*b + u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*f + 0*f + 2*f)*(1846*f**4 + 2009*f**4 - 1469*f**4).\nAnswer: -9544*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1003?\nAnswer: 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -433661, -867325, -1300989, -1734653, -2168317?\n\"Answer: -433664*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10 and 57850470.\nAnswer: 578504700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-25))\/((-8)\/20)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 - 2 - (12 + -12 + (-1 - -1))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6*(-3 - 10\/(-3)). Let j be u + 1\/((-1)\/4). Let f(k) = k**2 + 7*k + 40. What is the remainder when 100 is divided by f(j)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z**3\/7 - 2494*z**2\/7 + 11056*z - 81928 = 0. Calculate z.\nAnswer: 11, 266\/9, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 9*f**2 + 9*f - 12. Let m(s) be the third derivative of s**6\/120 + s**5\/3 - 23*s**4\/24 - 26*s**3\/3 - 86*s**2. Let r be m(-21). What is y(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6546000 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 432 and 1512.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 35, 64, 89, 110?\n\"Answer: -2*k**2 + 35*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 1062\/18 - (-50)\/(5 - 10)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/20*1)\/((-3)\/15). Suppose r*y - 6*y = u - 79, 3*y = -6. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42 + 49. Suppose -d - 4*d = a*d. Solve 5*n + d*t = -t + 4, -5*n - 3*t = -2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -80358*h**2*p**3 - 40*h**2*p**2*s**3 - 31014*h*p**3*s**2 - 14*h*p**3*s - p**3*s**3 wrt h.\nAnswer: -160716*p**3 - 80*p**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7.321 times -185.02\nAnswer: -1354.53142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 23. Suppose c = -2*n - 6 + 12. Suppose -m = o + 2, 5*o - 26 = n*o + 4*m. Calculate the smallest common multiple of o and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 217 = -3*d - 2*k, -5*k = -4*d + 321. Is 24 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -80 - -583. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r**3 + 0*r + 5*r**3 - 4*r + 5*r**2 + 7*r. Let n be y(-4). Suppose q - 51 = -n. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.5, 27316, 1\/4, 2\/9, 0.3 in decreasing order.\nAnswer: 27316, 0.5, 0.3, 1\/4, 2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p + 4*p + 5*p)*(0*p**3 - p**3 + 0*p**3)*(0*p - 2*p + p)*(-7 - 89 - 74).\nAnswer: -680*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 6:51 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*(-9)\/(-36)*-8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from slhhjlselseehhehee. Give prob of picking 3 l and 1 h.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -55 - (255 + -264)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7618361 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 3*p. Suppose 2*i - 5 - 1 = 0. Suppose -11 = 4*l - i*g, 3*l - 5*g = 4*l - 26. Let z be u(l). Solve -z*q = y + 4 + 2, -3*q = -3*y for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*c - 2 + 42. Solve -m = c*m + 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, b: 3, i: 3}. Give prob of picking 2 b.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3\/9 - 4*l**2\/3 + 136*l\/9 - 64\/3.\nAnswer: -4*(l - 3)*(l - 2)*(l + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 5*w**4\/16 + 29*w**3\/6 - 89*w**2\/8 + 13*w\/2 + 8. Factor c(g).\nAnswer: (g - 1)*(g + 13)*(5*g - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - 64.22?\nAnswer: -64.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2431341, -2431339, -2431337, -2431335, -2431333, -2431331?\n\"Answer: 2*c - 2431343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.126 + -0.12513. Round v to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n + 628 - 7*n**4 - 2*n**2 + 4*n**2 - 627 as f*n**2 + r + g*n**3 + d*n + c*n**4 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 14*a + 17. Let n(t) = -5*t - 6. Let c(h) = -8*n(h) - 3*y(h). Suppose p + 3 = -2. Is c(p) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s + 24 = 3*k, 5*k = 1741*s - 1743*s + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52 and 3606.\nAnswer: 93756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (1 - 2) - (706 - 707).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - d + 2 = 0, 0 = 5*b - 5*d - 15 - 5. Let n(l) = l**b - 9*l**2 + 12*l**2. Let z(i) = -3*i**2. Determine n(z(w)).\nAnswer: 36*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -0.504, 68 in descending order.\nAnswer: 68, -0.504, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1346338534?\nAnswer: 2, 23, 709, 41281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4080 = 13*w - 392. What is the highest common divisor of w and 258?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1593 and -0.4?\nAnswer: 1593.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**3 - 4*o**2 - 6*o - 12. What is v(-5)?\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 65*n**5 + 24*n**5 + 41*n**5 + (0*n**3 - 9*n**3 - 15*n**3)*(4*n**2 - 2*n**2 - n**2) - 2*n**3 + n**5 + 2*n**3.\nAnswer: 107*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5851 divided by -1\nAnswer: 5851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-36)\/96 - (0 - 218\/(-16)). Let j be ((-40)\/(-14) - 2)*(-49)\/m. Solve -12 = -3*q - 0*i + 2*i, 0 = 3*q - j*i - 15 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-10))\/(12\/40 + 0). Solve i = 5*i + n for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*d + p, 4*p - p - 3 = 0. Let z be -2 + d*2\/8. Which is greater: z or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 4*o = 12, 2 = 4*q - 2*o - 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*m - 101 + 376 = -814 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(3\/2))**(-2\/5))**(15\/4) assuming d is positive.\nAnswer: d**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -402\/11 + 1\/22. Calculate the common denominator of t and 59\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11540.\nAnswer: 2, 5, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + u + 213 = 0, -24*u = -5*x - 25*u + 207. Solve -3*o = 12, -3*w - 4*o - x + 14 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180908541?\nAnswer: 3, 11, 577, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23 in -2\/57, -108, -3\/7, -1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - ((-48)\/9 - -8). Let g = -565\/7 + 81. Which is the closest to g? (a) -0.5 (b) -12 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1950 divided by 15?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of p**4\/12 - p**2\/2 + 9*p. Suppose d(f) = 0. What is f?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 q when three letters picked without replacement from {i: 3, q: 6, z: 8}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s*s*s*s**(-10)*s)\/s*s**(1\/3)*s**(-2\/3)*s*s*s**9*s assuming s is positive.\nAnswer: s**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1798*j + 21458*j + 1289547 = -27673 for j.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 6. Suppose -c + 61 = 4*d, -3*d + c + 39 = q*c. Calculate the remainder when 46 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -14. Suppose m = 3*i - i. Let v be (1 + 45997\/i)*15. Round v to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 128 (base 10) to base 13.\nAnswer: 9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 774424 is divided by 387118?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*f + 692 - 34 = 370 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven halves of a millimeter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6756884963?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - (-606)\/(-18))\/(2\/6). Let f = n + 229. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/30 + (-63536)\/(-95). Is 669 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2*0\/31?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of 29*x**3\/6 - 4*x**2 + 3*x. Is p(4) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 2*g - 23. Suppose -8*h + 4*h = g*s - 70, 0 = -3*s - 2*h + 62. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -3*z + 3, -4*z + h + 0 = -1. Let v be 2\/(1 + z\/(-1)). Solve -4*m - 4 = -4*f + 4, v*m - 21 = -3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 6*d**2 - 5. Let f(p) = p**2 - 10*p + 10. Let g be f(8). Determine y(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u - 3*u - 30*u**2 + 0*u in the form c*u + t*u**2 + z and give t.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 535, 2132, 4793, 8518, 13307, 19160, 26077?\nAnswer: 34058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c - 40 = -9*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 686 divided by 14?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3222 is divided by 1460?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 75*r**2 + 110*r - 94. Let y be a(-14). Calculate the greatest common divisor of 94 and y.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -113\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 58357700 rounded to the nearest 1000000?\nAnswer: 58000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*c = -50*c + 234. Let n = 80 - c. Sort -5, -1, n, 5 in descending order.\nAnswer: 5, n, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1b10 (base 13) to base 4\nAnswer: 333211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - -6) + (-3 - (-2 + -4)). What is the hundreds digit of -6*2528\/(-24) + f\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i - 6. Let v be w(-23). Suppose 19*j = v*j + 346. Does 18 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 6*a**2 - 40*a - 131. What is the hundreds digit of y(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -231? (a) -5 (b) -0.3 (c) 0.3 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**2. Let c be 12\/18*(-93)\/2. Let x = c + 33. Let f(j) = 3*j - 10*j**2 - 3*j + 8*j**x. Determine v(f(g)).\nAnswer: 12*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2122 + -1110?\nAnswer: -3232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2858586 and 167703712.\nAnswer: 503111136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*b - 4*b + 21735. Let s = b - 803. Factor -5\/6*p**s - 5\/6*p + 0.\nAnswer: -5*p*(p + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 2)*(-8 - 7 + 0)*(-2*b + 0 + 0) to w + r*b and give r.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 112678325, 225356651, 338034977, 450713303, 563391629, 676069955?\n\"Answer: 112678326*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w. Let q(i) be the second derivative of 0*i**2 + 42*i + 0 - 79\/6*i**3. Determine q(g(h)).\nAnswer: -158*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1282 and 164.344.\nAnswer: 164.4722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4332113, -8664238, -12996363, -17328488, -21660613?\n\"Answer: -4332125*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g + 7. Let h be s(-6). Let f(x) = x**3 + 9*x**2 - 25*x - 12. Let j be f(-11). Suppose -j*m + h*m = 248. What are the prime factors of m?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4985 + 7250. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/129)\/((-6)\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 106354971631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -1306*k**2 + 58*k - 3. Let n(h) = 3*h**2. Determine l(n(x)).\nAnswer: -11754*x**4 + 174*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -0*p + 4*p + 4, 3*p = -12. Suppose 108\/5*q - 42\/5*q**2 - 171\/5*q**j + 24\/5 + 81\/5*q**4 = 0. What is q?\nAnswer: -2\/3, -2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1066 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 g when four letters picked without replacement from ggvgm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(27\/(-9)) - (-5 + (5 - 3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c - 111 = -133 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-3)\/15*-1). Suppose -4*s - 4 = -2*s. Sort w, -3, s in decreasing order.\nAnswer: s, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -275 - -275. Suppose a - 2*a + 3*r + 170 = 0, p = r + 5. What is the greatest common factor of a and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 1218357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2652748717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 - 35. Suppose u = 2*j - 0*j. Suppose -5*n - 13 - 7 = j. Sort 6, 5, n.\nAnswer: n, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (86\/774)\/(10\/258) - 3. What is the fourth biggest value in -1, -0.2, y, 2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 4 + 3 - (-14 - -19)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/11660 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.7 times -3360?\nAnswer: 29232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = -2*j + 4*j + 10. Let s(h) = 20*h**2 - 4*h. Let o be s(-6). Suppose -o = j*v - 8*v. Is 13 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 55215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 - -0.1. Let n = 123\/4 + -30. Let s = 8 + -6. Sort s, n, w in increasing order.\nAnswer: w, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -58. Let h = 278 + -2241\/8. Find the common denominator of q and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 780119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hcttffqcfqfq. Give prob of picking 1 t and 3 f.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 63521016?\nAnswer: 698731176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/63? (a) -3\/32 (b) 1 (c) -0.1 (d) -1\/5 (e) 0.031\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.02, -5, -2, 1, 7\/5130?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**5\/5 + 1408*y**4 + 6152802*y**3\/5 - 74645324*y**2\/5 + 180760696*y\/5 - 112275216\/5 = 0?\nAnswer: -1766, 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.684415522 rounded to three decimal places?\nAnswer: 0.684","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46*h**2 + 439 wrt h.\nAnswer: -92*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45.1 - 47. Let y = -0.023 + 2.223. Let k = y + l. Which is the smallest value? (a) -0.1 (b) k (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0069039507 rounded to 4 decimal places?\nAnswer: -0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is 11817 equal to 11814?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 3*g**4\/4 - 3894663*g**3\/4 - 11684007*g**2\/4 - 11684013*g\/4 - 973668 = 0.\nAnswer: -1, 1298224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a + 9 = -14*a. Suppose a*f + 2 = 83. Calculate the remainder when (-3)\/(-30) - (-1956)\/40 is divided by f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56641 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1224 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 + -10 - -1) + (-28)\/(-6). Let d = 1229.9 - 1230. Suppose 27 - 7 = 5*o. Which is the nearest to -1\/3? (a) o (b) m (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11722 to 2 dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (11 + -9 + 2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 28, 9\/22 in decreasing order.\nAnswer: 28, 5, 9\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 - 19. Put 2, z, -8 in decreasing order.\nAnswer: z, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2 = 2. Suppose 15 = 3*z + p*z. Suppose -7773932 = -z*y + 8726068. Round y to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - l = -17, 0 = 3*v + 2*l + 2*l - 17. Let r be 1*2*v*(-175)\/(-15). Which is smaller: r or 73?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 145 (base 6) to base 15\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27306 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -23, 0.5, 49, -1090?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 7*x**2 + 9*x + 7. Let z(a) = -20*a**2 - 28*a - 20. Let w(l) = -17*g(l) - 6*z(l). Determine w(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wx when two letters picked without replacement from {x: 3, w: 1, b: 4}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.0842 + 213.9442. Let g = z - 211. Let h = 0.57 - g. Round h to 1 dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-16))\/(3740\/544))\/1?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -327, -1923, -4587, -8325, -13143, -19047, -26043, -34137?\n\"Answer: -x**3 - 528*x**2 - 5*x + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 + -3 - 7) + 9. Let o = 49.05 + -48. Let y = o - 0.05. Sort -3, u, y in descending order.\nAnswer: u, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s**3 + 593893039796*s**2 - 593893039796*s**2.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/2 in 3\/4, -4, -3, -0.03?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6 from -597933278.8.\nAnswer: -597933272.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1.5, 3\/2, -19, 0.2 in descending order.\nAnswer: 3\/2, 0.2, 0, -1.5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24919*a**3 + 12275*a**3 + 0 + 0 + 12642*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2320062.\nAnswer: 2, 3, 386677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -86*t + 2. Let i be s(-1). Suppose i = 4*c - 108. Is c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/4 (b) -4 (c) -0.5 (d) -471\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -159\/3080 and 1\/66*(-25764)\/15200?\nAnswer: 30800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -9*c - 2*c + c + 3*c. Let i(k) = 5*k**2. What is j(i(r))?\nAnswer: -35*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111001001101110 (base 2) in base 6?\nAnswer: 1155154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 0.9. Let k = 295061\/79 + -3735. Let s = 106\/1027 - k. What is the closest to -0.1 in -0.2, p, s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 308592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 34 = 2*q, 4*a = 5*q - 3*q - 32. Suppose 17*t = q*t - 57. Find the common denominator of -3\/37 and t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -8805*o**3 - 9*o**2 - 475*o + 7. Let g(d) = -4403*d**3 - 4*d**2 - 241*d + 3. Let w(s) = 2*c(s) - 5*g(s). What is the third derivative of w(q) wrt q?\nAnswer: 26430","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = 3*a - 68. Let f = -21856\/3 + 7218. Let b = f + a. What is the third biggest value in b, 4, 5\/2, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -18*n**3 + 21*n**2 + 128*n - 30. Let c be q(20). What is c rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5011 + -50011\/10. Find the common denominator of 53\/70 and l.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53 + 2*k + 53 to the form d + g*k and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-16)\/(-21) + (-42)\/98)*27. What is the remainder when 20\/30 + 246\/j is divided by -5*4\/6*-3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.9289194 rounded to 1 decimal place?\nAnswer: -22.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 12, -3*w = 5*l - 2*l + 45. Let r = -5 - l. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1230 + -1230.1. Which is the nearest to -2? (a) -1\/4 (b) -5 (c) y (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3526 + -3487.43. Let r = j - 39. Let v = r - -0.03. What is the closest to -0.1 in v, 5, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 52015571*d + 6007789 with respect to d.\nAnswer: 52015571","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 10. Suppose a*f = 2*f. Let j = -0.1 - -0.3. Is j less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -1. Let o = a + 2. Put 0.1, 0, o in ascending order.\nAnswer: 0, 0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 505 is divided by 192?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -67001*g**3 - 152*g**2 + 108 wrt g?\nAnswer: -402006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((9 + 0 + 13)*(0 + 4 - 5) - 1 + 0 + 0)*(r - r - r) to k + s*r and give s.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100001 (base 2) in base 7?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2452 + -2443. Solve -11*y + j*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64)\/(-48) + (-29)\/(696\/176)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*o + 9 + 1, 0 = -5*o - 4*v + 23. Suppose o*s + 0*s - 27 = 0. Let y = 15 - s. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f - 5. Let i(z) = -z. Determine -4*i(q) - l(q).\nAnswer: 2*q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - (18 + 2 + -17)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence az when two letters picked without replacement from azk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 7:31 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13228 and -0.094.\nAnswer: -1243.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t + 0*t + 5*t.\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 7. Let r(m) = 2*m**2 + 3*m. Let y be r(h). Solve -8 = -y*p - 2*f, 3*p - f = -2*f + 10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 5*x - 74, -3*x = 5*a - 10*a - 74. Solve -3*q - 4*w = -w, -q + x = -5*w for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 - 5842*m + 1650240.\nAnswer: -(m - 270)*(m + 6112)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-461)\/1383*-18*(-3)\/8.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 14*y**3\/3 - 3*y**2\/2 + 7*y - 8. Is f(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/(b*b\/b**(5\/4)*b)*b)*b\/(b**2\/b))**(1\/11) assuming b is positive.\nAnswer: b**(-1\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 169 divided by -1.\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-40)\/(-450) + 4\/(-18) and 37\/8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 15*u = -19*u, 0 = 3*f - 2*u - 2. Let 0*j**f + 4\/7*j**3 + 0 - 4\/7*j = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-136 - -138) + 0 + (-4 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 423\nAnswer: 2\/423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 531, 546, 595, 696, 867, 1126, 1491, 1980?\n\"Answer: 3*i**3 - i**2 - 3*i + 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 11 - 14 = 0. Suppose -3*u - w + q = -1, 0 = -3*u - 4*w + 32. Solve n = -n + u for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3640 + -1126. Let f = s - 1489. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(-4)*(5 + 4). Let g = j + 161\/8. Let z = -0.5 - -0.5. Which is the nearest to 0.2? (a) z (b) -1\/3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 5:24 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 + -2222242?\nAnswer: -2222224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/6*13392\/(-496)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -1613*h**5\/20 + h**4\/6 + h**3\/2 + h**2 + 45*h. Let o be s(-1). Let k = 2701 - o. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t - 59. Let a(p) = 11*p - 6. Let j(h) = 24*h - 13. Let q(g) = -13*a(g) + 6*j(g). What is q(y(b))?\nAnswer: -2*b - 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 1 = -1134*n + 1135*n, -22 = -z - 7*n for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + 2 + 1 - (-61 - 3133) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 88*n**2 - 87*n**2 + 176*n**2 + 6.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 51573829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*d + 116550 = -d. What is the units digit of 14\/4*d\/45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 4. Let x = 1 - c. Sort x, -1, -4\/3 in increasing order.\nAnswer: -4\/3, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 241 + -99. What is the highest common divisor of q and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**27)**(7\/9))**40 assuming z is positive.\nAnswer: z**840","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -380937 divided by -126979\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 157*f - 161*f + 17926, -4*f + 4*a + 17920 = 0. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1645, 2388, 4383, 8254, 14625, 24120, 37363, 54978?\nAnswer: 77589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.543 - 580348696.\nAnswer: -580348695.457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + sqrt(425)*5)*-3.\nAnswer: -78*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 119855?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3361805 is divided by 1680848.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*-1*6\/(-42). Let k = -2 - 2. Let t = k - -7. What is the biggest value in t, 1\/8, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (1 - (-17 + 28) - 0)) + (-50 - -2).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and 1203254.455855?\nAnswer: 1203254.255855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -213*j + 1. Let i(b) = 43*b. What is -11*i(d) - 2*y(d)?\nAnswer: -47*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 1 = -5*r, 597*r + 5*g = 601*r + 26 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5642007 and 2058?\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 17*x**2 + 7*x + 7. Is d(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 12. Solve -r + 3*r = h for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -6) + -3 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -25.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*2\/8)\/(1\/(-3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 3*h + 346 = 0, 2826 = -3*p - 5*h + 2204 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 210*z + 23508. What is v(-112)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 4:47 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from aaaaaaaaaaaaaaaarra.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 215927095 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**3*n**2 - 2*k**3*n + 2*k**3 - 65*k**2*n**3 + 25*k**2*n - 525*k - 615049*n**2 + 3 wrt n?\nAnswer: -4*k**3 - 390*k**2*n - 1230098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**3 + 25*r**2 + 2*r - 150. Calculate the remainder when 105 is divided by s(12).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*a*d + 8489055*a - 4182376*d + 4 wrt a?\nAnswer: 15*d + 8489055","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22285132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(4*b - 2*b + 0*b) - 2*b - 1 + 1 - 2*b + b - b + (2*b + 4*b - 4*b)*(-2 + 5 + 3).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -49*w**2 + 34. Let j(p) = -20*p**2 + 17. Calculate 7*j(a) - 3*y(a).\nAnswer: 7*a**2 + 17","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -236935, 5 in decreasing order.\nAnswer: 5, 3, -3, -236935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -438*c - 1. Is b(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1003685470 by -5.\nAnswer: -200737094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.8 or 8\/3?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227*l + 235*l = 64 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -7*m**4 - 79*m**3 - 448*m**2 - 824*m. Let t(v) = 20*v**4 + 236*v**3 + 1346*v**2 + 2470*v. Let l(q) = 4*t(q) + 11*x(q). Suppose l(j) = 0. What is j?\nAnswer: -17, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2 - 3*p - 3. Let c be u(3). Suppose -c = -2*s - s. Does 5 divide 26\/6 + s\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*m - 15*m + 217425 = 0. Is m 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 1:58 PM and 12:44 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*c**2 - c**2 + 5*c**2)*(-1 + 2 + 0) + 5*c**2 - 5*c**2 + 2*c**2 - 107*c**2 - 46*c**2 - 26*c**2)*(0*c - c - 2*c)*(-c + 5 - 5).\nAnswer: -528*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 1 + 8 = 0. Let s(m) = -4*m**2 + 27*m - 38. Let k(c) = 2*c**2 - 13*c + 19. Let p(z) = y*s(z) - 5*k(z). What is the tens digit of p(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -4 - -3 - 2) + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 9:54 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109968, 106993, 104018, 101043, 98068, 95093?\nAnswer: 92118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103 = 18*k - 5 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2529 + 3285. Is n at most as big as 751?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -114 + 114. Solve q = 5*o + n - 7, o - 5*o - 6 = -5*n for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**4 + 11*o**3 + 379*o**2 - 11*o - 11182. Let t(g) = -2*g**3 - 76*g**2 + 2*g + 2236. Let a(l) = -2*j(l) - 11*t(l). Differentiate a(c) wrt c.\nAnswer: 8*c**3 + 156*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1488163 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of 11*j**6\/240 + 13*j**5\/10 + 57*j**4\/16 + 13*j**3\/6 + 22*j**2 - 59. Factor c(h).\nAnswer: (h + 1)*(h + 13)*(11*h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 17. Suppose 4*n = 3*n + 2. What is the remainder when x is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -462 - -465. Suppose 2*x = 2*o + 4, x - 18 = -3*x + 2*o. Calculate the smallest common multiple of u and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 6*p**2 + 7*p - 1. Let j be t(-4). Let w(y) be the first derivative of -j*y - 1\/9*y**3 + y**2 - 5. Factor w(n).\nAnswer: -(n - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2703, -1855, -1007, -159?\n\"Answer: 848*f - 3551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/12638, 1, 4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2263)\/(-93) + (-1)\/3 + 23?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*(sqrt(112) - (sqrt(112) - -2*sqrt(112)) - sqrt(112)) + sqrt(112) + (4 + sqrt(112)*2)*2 + -4)**2.\nAnswer: 320*sqrt(7) + 7193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l. Let u(v) = -4*v - 1973 + 3*v + 1945. Give y(u(j)).\nAnswer: -5*j - 140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -12 + 27 + 17*c - 15. Let m(q) = 2*q**2 + 28*q - 23. Let p be m(-15). Let r(k) = -4 + 11 + k - p. Calculate r(n(x)).\nAnswer: 17*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12239589?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14808843 to the power of 1\/2, to the nearest integer?\nAnswer: 3848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7543\/61 + -3988255\/32208. Calculate the common denominator of w and 13\/6.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 4 + 3 - 4 - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w - 1. Suppose 4*c = -5*l + 37, -26 + 1 = -5*l. Let b(m) = -m**3 + 6*m - 6 + 2*m**3 + m**c + 0*m**3. What is -b(i) + 6*o(i)?\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-9))\/(154\/(-693))*(0\/1)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27690680 - -4.2.\nAnswer: 27690684.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = o - 5*t, 2*t = o - 5 - 3. Suppose -3*f - o = 5, -f - 7 = -4*d. Which is greater: 2\/7 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 2*t**2 + t. Let d be x(-1). Let m = -5 - -9. Let y = m - d. Which is the nearest to -0.2? (a) -4 (b) y (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -b**5\/60 - b**4\/24 + b**3\/6 + 91*b**2\/2 + 57*b. Let t(a) be the first derivative of v(a). Let c = 1 - 1. Give t(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l - 60 = -11*l. Calculate the smallest common multiple of l and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 + 2330*p + 271445.\nAnswer: 5*(p + 233)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1341 is divided by 37?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 3:37 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 10*w + 1. Let n be b(4). Suppose 0 = -3*x - 3*d + 441, d + 58 - 533 = -3*x. Calculate the greatest common factor of n and x.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/43 - -33\/215. Which is smaller: 2\/9 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 - 1841703*d**2 - 18417330*d.\nAnswer: 3*d*(d - 613911)*(d + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2\/5 - 183627*f\/5 + 183624\/5.\nAnswer: 3*(f - 61208)*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 3*s**5\/80 + s**4 - 3*s - 13. Solve p(k) = 0.\nAnswer: -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 10*c - 543. Let b be a(29). Let x(f) = -6*f - 1. Determine x(b).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2.6 (b) -0.77 (c) -3\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245 = 5*q - 57*q - 193 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + 32. Let u(s) = -16 + 21*s - v*s + 25*s. Determine u(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 75, 127, 223, 369, 571?\n\"Answer: w**3 + 16*w**2 - 3*w + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6780, 13387, 19994?\n\"Answer: 6607*m + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 244 or 236?\nAnswer: 244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -245460 divided by -81820\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 - 6668*h + 4915*h.\nAnswer: -1753*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 6*m**3 - 4*m**2 + 4. Let p(g) = g**2 - 1. Suppose -9 = -3*a + 3*d, 6*a + 4*d - 12 = 4*a. What is a*p(q) + b(q)?\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 6 - 5)*(-6241*l**3 + 6240*l**3 + 93*l + 89*l - l**2) + (2*l + 0*l + 0*l)*(3*l**2 - 4*l**2 - l**2) in the form k*l + j*l**3 + v + d*l**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -38 in decreasing order.\nAnswer: -2, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 360 from -28.\nAnswer: -388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -55\/997?\nAnswer: -55\/997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 5*p - 315, -p + 361 - 1621 = 4*q. Let n = -301 - q. Solve 16*o = n*o + 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-22)\/6 + 3)*1*-1239. Let s = x - 680. Which is greater: 148 or s?\nAnswer: 148","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/14449, -54, 3 in ascending order.\nAnswer: -54, -6\/14449, 3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -3 (b) 456 (c) 15\/8 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 4:12 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7313 is divided by 119.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -227 - -1837. Suppose 0 = 27*f + q - 4580. Is f a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/63)\/(-10*(-5)\/900). Let k(s) = -s**2 - 5*s + 8. Let o be k(-6). Let 6\/7*p + 2\/7*p**3 + 2\/7 + y*p**o = 0. What is p?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21110 = 100*h + 3010. What is the highest common divisor of 1 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 10\/(-25) - 194\/(-10).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 11:38 PM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 120*((-45)\/(-10) - 4). Calculate the greatest common factor of 15 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 3*k + 5, -21*z = -24*z + 2*k + 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvxkkvvfkvv. Give prob of sequence vk.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**3 + 2*x**3 - 1 + 2 - 10*x**2 - 8*x**3 + 2*x. Let o be d(-5). Let q = o - 81. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llll when four letters picked without replacement from lllllllyyllllylllly?\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 53, 129, 217, 323, 453, 613?\n\"Answer: s**3 + 69*s - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*n**4 + 82 - 82 - 21*n**4 + 14*n wrt n?\nAnswer: -168*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 24673613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r + 25*r - 9*r - 2*r - 10*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.4702 + -4.3602. Let w = -2 + 6. Sort w, -2\/15, b.\nAnswer: -2\/15, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, l: 3, x: 4, c: 6}. Give prob of picking 1 l and 1 q.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*o + 14*o**2 + 7*o)*(-o + 4*o**2 - 7*o**2 - 9*o**2) as b*o**4 + q*o + k*o**3 + f*o**2 + x and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 12.5. Let z = g - -12.9. What is z rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 5*a - 5. Let i(o) = -o + 1. Let x(g) = -9*i(g) - 2*u(g). What is x(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 145622451 - 0?\nAnswer: 145622451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8888*w = -15*z + 8886*w + 11, 0 = -27*z + 5*w + 37 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 (base 12) in base 10?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 717*q**3 - 807*q**3 + 365 + 3320 - 2162*q**3 wrt q.\nAnswer: -6756*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -12*5\/(-40) + (1970\/20 - 16)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402001561 to the power of 1\/2, to the nearest integer?\nAnswer: 20050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 0 + 0)*(22 - 46 + 2*n + 22).\nAnswer: -4*n**3 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2 + 7*p - 9. Calculate m(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 341*x. Let f(a) = -3522*a**2. Calculate f(v(z)).\nAnswer: -409541682*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = 4774 - 481. Is 17 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40720 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -7*l**3 - 1. Let c(r) = 2*r - 3*r + 2*r + 6. Let m(n) = 5*n. Let g be m(-1). Let k be c(g). What is x(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-1))\/((-448)\/(-448))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/77)\/((-2)\/30)*(-42)\/6.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1890)\/(-28)*4\/2. Calculate the highest common factor of 45 and i.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 254259 or 254353?\nAnswer: 254353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9702?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus 0.0056?\nAnswer: -0.9944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 555 is divided by 83?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 362\/(-2))\/(-3). Let m = -59 - s. Suppose 2*u + 4 + 4 = 2*i, -3*i - 2 = 4*u. What is the third smallest value in 0.04, i, m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3313*n - 13521. Determine i(-4).\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83232 and 2602156?\nAnswer: 1156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1182 is divided by 79.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**3\/2 + 4585*w**2\/2 + 127628*w - 129920 = 0.\nAnswer: -56, 1, 4640","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1938094\/2361957 - -2\/60563. What is the common denominator of 128*(-2 - 155\/(-78)) and c?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.121548 kilometers in micrometers?\nAnswer: 3121548000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {o: 1, y: 1, z: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 - -33. Let f(v) = 75*v - 2. Is 27 a factor of f(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -135378348.3559 + -0.3?\nAnswer: -135378348.6559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*k**2 - 2*k**2 - 2*k**2 + (k - 5 + 5)*(5*k - 1 + 1) - k**2 - 2*k**2 + k**2.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, -1.3, 2, -0.01, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 9 = -3. Let r(j) = -2*j + 3*j - s*j. Let b(w) = -2*w. Give r(b(p)).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*q**3 + 52*q**3 + 23*q**3.\nAnswer: 45*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/3320 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-3) - 11\/((-33)\/458). Let g be (-2)\/(-6) + c\/3. Suppose -55*j + 16 = -g*j. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4442093 is divided by 30.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1211110 - 1111?\nAnswer: -1212221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7020 (base 13) to base 6\nAnswer: -155153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4514, -5403, -6266, -7091, -7866, -8579?\n\"Answer: 2*p**3 + p**2 - 906*p - 3611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 55842847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 45298058 from -1.3568754.\nAnswer: -45298059.3568754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 + 2*v - 13*v**3 + 26*v**3 - 2*v - 14*v**3.\nAnswer: -v**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2997 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -30243*r + 423202. Calculate h(14).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -4*x + 24 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - d = 12. What is the remainder when 11 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/7 and -17\/778.\nAnswer: 5446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1505292, -1505293, -1505294, -1505295?\n\"Answer: -c - 1505291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 413471 = 20*b + 413071 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5790, 11608, 17434, 23274, 29134?\n\"Answer: w**3 - 2*w**2 + 5817*w - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1014 + -623. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -635*c - 5301. Calculate b(-8).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 + 138 = -5*z. Let h be (72\/z)\/((-4)\/(-6)). Let l(v) = -2*v**2 + v. Let q be l(-1). Which is the nearest to h? (a) -5 (b) q (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18.8637 - -0.1363. Which is the closest to -0.2? (a) 0.5 (b) 1 (c) -0.3 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2333?\nAnswer: 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 46314532 and 0.2.\nAnswer: 46314532.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/6 - 12\/9. Let p be -1 + (1 - 6\/8). Let o = 1502 + -1501.8. What is the closest to k in o, -5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**5\/30 - v**4\/8 + v**3\/3 + v**2. Let d be p(2). Let a(k) = k**3 - 5*k**2 + 6*k - 2. What is a(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 4 - 2)*(-2 + 13 + 1)*(-1 - 5 + 4)*(-2*h**4 - 2*h**3 + 2*h**3) as t*h**4 + m*h + f*h**3 + z + i*h**2 and give t.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66494697.\nAnswer: 3, 61, 363359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -3*k**5\/20 + k**4\/4 + k**3 - 25*k + 1. Solve g(y) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 + -33. Let k be (-17)\/51*2*2\/(-6). What is the closest to k in t, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 3*b**2 + 3*b + 4. Let f be k(-3). Let x(w) = 9*w**2 - 5*w - 1. Let n(s) = -2*s**2 - 1. Let d(v) = 5*n(v) + x(v). Determine d(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*s + 12 = 0, 20 = -2*f + 3*f - 5*s. Suppose -5*w + 5 = -f*w. Sort 5, w, -4 in decreasing order.\nAnswer: 5, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 408860349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = o - 1647, -2*q + 3326 = 15*o - 13*o. Is o a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 740*u - 30. Let g(n) = -183521*n + 7430. Calculate -3*g(r) - 743*l(r).\nAnswer: 743*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003286 to six decimal places.\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 973*n - 4125*n - 1931*n.\nAnswer: -5083*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 4*z**4\/7 - 180339428*z**3\/7 + 2032644601219548*z**2\/7 - 871133065606612*z - 8130576240805264\/7 = 0.\nAnswer: -1, 4, 22542427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 20351 + 13199 = 50898. Is q a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 17\/3 - 14\/21. Suppose 0 = -3*n + 5*l + 27 + 47, -3*n + 3*l = -78. Suppose -3*b - o + n = 0, -b = -3*o - o - h. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 702 - -71. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - o + 13 = 0, -3*k + 3*o - 3 + 36 = 0. Let g = -24 + k. Let y be 53\/11 - g\/66. Solve 7 = y*t + 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -3. What is the remainder when 10\/(g + -1)*-11 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 8*m**2 - 3*m + 3. Let j be x(-7). Let k = -18 + j. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*q = -57 - 90. Let b(a) = -2*a**2 - 4*a + 1. Let c(n) = 3*n**2 + 4*n - 2. Calculate q*c(i) + 4*b(i).\nAnswer: i**2 - 4*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zyc when three letters picked without replacement from yyzyyyzccyzy.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.067 from -135234.670484.\nAnswer: -135234.737484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 2 + 14. Suppose -14 = -v*i + 3*i. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1))**(-9)\/(u**(1\/4)\/u)**(-49) assuming u is positive.\nAnswer: u**(-111\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/1)\/(6\/3))\/((-1328)\/(-103584)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7766511.\nAnswer: 3, 397, 6521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282521?\nAnswer: 151, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**3 + 4*z**3 - 3*z**3 + (-z**2 + 4*z - 4*z)*(2*z - 2*z + 2*z))*(0*z + 2*z - 3*z).\nAnswer: 5*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1672435 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*k + 159 + 261 - 87 = 0 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 15*n. Let g(c) be the second derivative of c**3\/6 + 14*c. Give h(g(x)).\nAnswer: 15*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 118.8077 + -118.5776964. Let h = g + -0.23. Round h to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 734 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 106078*a**3 + 4*a**2 + 7*a wrt a?\nAnswer: 636468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-5) - (-18)\/5. Let k be 4\/6 + 2\/(-3). Let x be (-1)\/(-5)*(-20)\/(-8). What is the closest to k in u, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (508\/(-128) - -4)*162 and 9\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5cc4b (base 14) in base 5?\nAnswer: 24234202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 18*n**2 - 6*n - 6. Let i(s) = 322*s**2 - 163*s**2 - 141*s**2 - s**3 + 7 + 7*s. What is 6*i(o) + 7*u(o)?\nAnswer: o**3 - 18*o**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 34966 - 34907. Solve -158 + y = -11*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -4*f**2 - 48*f = 0.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/20*(-885)\/(-1062)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31038918492 - r - 31038918492.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2920 is divided by 2733.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*c - 10*c + 2 - 2 - 91*c**3 to i + d*c + b*c**2 + h*c**3 and give h.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*h + 708, 4*g - 783 = 3*h + 161. Suppose 0 = -0*v - 4*v + g. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - sqrt(320)) + (sqrt(180)*1)**2.\nAnswer: -6*sqrt(5) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - (2 - -2)\/4)*-1. Let c = 15.7 + -16. Suppose -2*a - 3 + 7 = 0. What is the biggest value in 4, w, c, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 89\/3*r**3 + 130*r**2 - 19 + 0*r. What is the second derivative of t(z) wrt z?\nAnswer: 178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*s**2 + 8*s**2 + 68*s**2)*(123*s - 6*s + 20*s).\nAnswer: 9316*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14127 is divided by 71.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56584568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82258 is divided by 81845?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 768898062.\nAnswer: 2, 3, 14238853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6cd (base 16) in base 12?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2978 and -4.\nAnswer: 11912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-134 - 35*v + 134 + (-2*v + 0*v + 3*v)*(-1 - 4 + 3) + 0*v + 0*v - 2*v + 4 + 2*v - 4)*(3 + 0 + 1).\nAnswer: -148*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -130 - 7*j + 130 in the form g + u*j and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**3 + a - a)*(732*a - 9936 + 9932 - a**2 + 1210*a).\nAnswer: 2*a**5 - 3884*a**4 + 8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27689126, 110756480, 249202070, 443025896, 692227958, 996808256, 1356766790?\nAnswer: 1772103560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5895 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 1. Suppose -2*i + 0*i + 31 = -5*w, 0 = -3*i - w + 21. What is the remainder when 14 - (-1)\/(u\/1) is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + (-3 + 3)\/(-1). Factor h*n**2 + 6*n - 3*n**2 + 2*n**3 - 2 - 7*n**2.\nAnswer: 2*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 10*z + 7. Let x(g) = 2*g**2 + 21*g + 14. Suppose -4 = -2*a - 10. Let t(p) = a*x(p) + 7*r(p). What is the units digit of t(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 7 - 3 - 66*c**2.\nAnswer: -66*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 734964, 734923, 734882, 734841?\nAnswer: 734800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16199 + 64*j**5 - 16199 + j + (-2 - j**4 + 2)*(-23*j - 6 + 6).\nAnswer: 87*j**5 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4729597815 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: Is 516757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 302133 + 1110?\nAnswer: 303303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 4*j**5\/7 - 44*j**4 + 2540*j**3\/7 - 6316*j**2\/7 + 4080*j\/7 = 0?\nAnswer: 0, 1, 3, 5, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 h when three letters picked without replacement from {y: 2, e: 3, h: 4, d: 2}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/42*3\/1*2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98362, -98363, -98364, -98365?\nAnswer: -98366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 95*u**2 - 3*u - 44. Let r be i(-5). Which is smaller: r or 2345?\nAnswer: 2345","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16\/(-2))\/8 + 276\/(-12 - -6). What is the closest to 0 in w, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/((sqrt(16)\/sqrt(4))\/sqrt(2)) - (6*sqrt(68)\/sqrt(4)*-1)**2.\nAnswer: -612 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 3*h**2 + 5*h + 5. What is the smallest common multiple of 30 and l(-5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 1658 = -5*v. Let y = 7453\/9 - v. Let s = y + 73\/72. Which is the closest to -2\/5? (a) -1 (b) s (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-5 - -3)) + -4 - -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(6\/21 + (-6)\/21). Which is the nearest to -3\/7? (a) f (b) 4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -27. Solve 2*z = 2*w - z + d, 0 = -3*z + 3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1817361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -42c + -4?\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 211 or 182?\nAnswer: 211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 12 = 2*y - u, -4*y = -4*u for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8389937 to the power of 1\/2, to the nearest integer?\nAnswer: 2897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 6 - 2 = -2*u, 3*u = 0. Is ((-2179)\/2)\/(4\/z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-289)\/(-119))\/17\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2 + 35\/(-14))*4 + 434 is divided by 136?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a decade in months?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**4 + 996*h**3\/7 - 2685*h**2\/7 + 768*h\/7 + 900\/7 = 0. Calculate h.\nAnswer: -50, -3\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 265, 516, 767, 1018, 1269, 1520?\n\"Answer: 251*x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4288.9 plus -3.083?\nAnswer: -4291.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2660 in 2\/9, -0.3, -35\/3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10a6e (base 16) to base 7\nAnswer: 402565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -k**9\/105840 - k**8\/11760 - k**7\/5880 - k**4\/6 - 12*k. Let d(q) be the third derivative of o(q). What is m in d(m) = 0?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-3)\/(-2)*(-10 + (-84)\/(-12))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-5*-2*(sqrt(76) - (sqrt(76) - (sqrt(76) + -3*sqrt(76))) - sqrt(76)))\/(-4*(sqrt(64) + sqrt(64)*-1) - sqrt(64) - 5*(sqrt(64) - -2*sqrt(64))))**2.\nAnswer: 4275\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56646.\nAnswer: 2, 3, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 356 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - i + 1. Suppose d - 3*a = 7, d + 4*a + 9 = 3*a. Let y(t) = -t**2 - 6*t - 1. Let q be y(d). Give p(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/10 + (-44)\/(-10). Let q = k - -105. Let z = q - 62. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*w + s - 6*s, 4*w + s - 29 = 0. Let l(b) = b + 35. List the prime factors of l(w).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19072 - -18956.47. Round a to the nearest integer.\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - y + 2 = c, 6 = 3*c + 3*y. Solve 2\/5 - 1\/5*z**c - 1\/5*z = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - d**2 + d - 1. Give c(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 449884069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 6*k - 21. Suppose -5*m - 92602 = -k*d + 24883, -2*d = 5*m + 117510. Round m to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1685503\/18645 - -1\/3729. Let s = -91 + k. Is -1 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 6:34 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, f: 5, w: 3, u: 2, g: 3}. Give prob of sequence wwgg.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1\/5 (b) 0.68 (c) -1\/674 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4 - 278*c + 95*c - 2.\nAnswer: -183*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (884\/13)\/((1908\/53)\/3)?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41430222 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.046793778 and 3.\nAnswer: -0.140381334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 309*t + 7. Let a be m(-3). Calculate the remainder when (-1 - -2)\/((-1)\/(-167)) is divided by a\/(-22) + 16\/88.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.303 in -12, 4\/5, -0.067?\nAnswer: -0.067","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111110 - -111010?\nAnswer: 1111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 46580\/240 + -76 - 118\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 974.1643923 to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -4 (c) 22 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 61911\/2 (b) 0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/8*85936\/(-3668).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1127660354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1972, -1968, -1962, -1954, -1944, -1932?\nAnswer: -1918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 388 = i, -i + 35 = -j + 109. What is the greatest common factor of 11 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1563793192?\nAnswer: 2, 13, 15036473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 2902*f - 2893*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**5\/7 - 93*c**4\/7 + 597*c**3\/7 - 1035*c**2\/7 = 0. What is c?\nAnswer: 0, 3, 5, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n**2. Let t(w) = -22*w - 6. Let u = 249 - 250. Let a(d) = 3*d + 2. Let h(b) = u*t(b) - 3*a(b). What is m(h(i))?\nAnswer: 845*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -39*g**3 - 146*g**2 - 176*g - 36. Let d(c) = 38*c**3 + 147*c**2 + 177*c + 37. Let x(m) = -4*d(m) - 3*u(m). Let x(s) = 0. What is s?\nAnswer: -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 35708222*u**2 + 50634. Let l(t) = 2821*t**2 + 4. Determine 25317*l(m) - 2*q(m).\nAnswer: 2813*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4358 (b) 9 (c) -0.2 (d) -5 (e) 2\/97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 419177274 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2766*t - 3 - 2818*t + 5586*t + 0 + 3.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.12, 2, 1?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 6*l**2 - 6*l - 3. Let n be i(7). Suppose n*f + f - 70 = 0. Suppose -4*v + 114 = f. Solve 0 = 7*y - 2*y - v for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.616 - 154?\nAnswer: -153.384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 14. Let m(b) = -3*b**3 - 3*b**2 - 4*b. Let o be m(y). Let l = o - -110. Round l to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -663 - -662.999424. Round t to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 50?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 1\/3 (c) -1682 (d) 37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -7*t**2 + 690*t - 39683. Let v(g) = 15*g**2 - 1380*g + 79368. Let l(p) = -9*h(p) - 4*v(p). Factor l(i).\nAnswer: 3*(i - 115)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 20*l - 124. Calculate v(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49896 and 8624?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - (1 + -2 + 11) - 17.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 198\/(-165) - (-42)\/(-15). Sort -0.04, 4, b in decreasing order.\nAnswer: 4, -0.04, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-19))**(-1\/31)\/(s\/(s**(7\/5)*s))**(-44) assuming s is positive.\nAnswer: s**(-9453\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 296696\/227 > 1308?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11435 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 81631641479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 - 19*j + 48. Is 7 a factor of h(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*t + 61*t - 67*t + 1 as x + s*t and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16638, 0.3, 3 in decreasing order.\nAnswer: 16638, 3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -703, -704, -705, -706, -707, -708?\nAnswer: -709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6865 - 14\/(-42)*0\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = d. Find the common denominator of 32\/10 + -1 + d and -3*1 - (-1001)\/(-198).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(8)\/sqrt(4) - (sqrt(288) - (sqrt(288) + 3)))**2 - (0 + 2 + 2 + (sqrt(4)\/sqrt(2))**2 + sqrt(2) + sqrt(2)).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 + -5 + -23 + -13 - (0 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 8*j = 3*j - 16, 0 = -5*x - 5*j - 10. What is the lowest common multiple of 7 and 46\/10 + x\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven sevenths of a week in days?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*x = -1, 4*x = -14 - 2. Let h = -13.5 - -8. Let m = -0.5 - h. Sort 2, m, i in ascending order.\nAnswer: 2, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1408*p**5 - 2*p + 283 wrt p?\nAnswer: -28160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 11*p**2 + 6*p - 6. Let f = -53 + 98. Let b(w) = -14*w + f*w - 15*w + 10*w**2 - 11*w - 5. Let g(l) = 6*b(l) - 5*d(l). Factor g(a).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.48 * -210415.\nAnswer: 311414.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -177*v**4 + 3*v + 8 wrt v?\nAnswer: -2124*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 18371 (base 9) to base 14\nAnswer: 48b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 76*z**2 - 717*z - 18. Calculate r(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-168)\/(-36)*3384\/987\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 9*d**2 - 4*d - 15. Let n be m(8). Suppose n*z - 13*z = -24. Let l be (-18)\/(-4)*(z + 4). Let c(u) = -u**2 - 9*u + 2. Give c(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -3*o + 40, -20*o + 23*o - 24 = -3*p for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -60295262 or -60295259?\nAnswer: -60295259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 10*d - 43. Determine h(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -845 + 1234. Determine x, given that o*x - 4*x**4 - 4 - 140 - 52*x**2 - 149*x - 40*x**3 = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 545?\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjtkjtjt. Give prob of sequence jkj.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 9*j**2 - 80*j + 191. Is m(14) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -164 divided by -73087?\nAnswer: 164\/73087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w - 2*w + 0*w + (0*w - 4*w + 5*w)*(1 + 3 - 2) - w - 29 + 29)*(5*w - 4*w - 3*w)*(-2*w - 5*w + 4*w).\nAnswer: 24*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -61 + -126 + 151 + 29\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 592218.\nAnswer: 1\/197406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + d + 3. Let h be y(0). Let f(r) be the second derivative of r**2 + 1\/6*r**h + r + 0. What is f(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 77 - 11. Is 11\/p - 61*2\/(-4) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 255 and 18705?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 583a (base 12) to base 15.\nAnswer: 2dad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6072 and 11565642.\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -29994, -616, -1 in descending order.\nAnswer: -1, -616, -29994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**5 - 4*c**5 + 3*c**5)*(2 + 3 - 4) + 3*c**4 - 3*c**4 - c**5 - 6*c**3 + 8*c**3 - 2*c**5 + 4*c**5.\nAnswer: 3*c**5 + 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/22 and 107\/38082?\nAnswer: 38082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 3*b + 29, -b + 2*b = 2*m + 7 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/2, 20250, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 3 (c) -47 (d) -246\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2504*a - 4023. Is f(88) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133 (base 6) to base 9.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31245, -62498, -93761, -125034, -156317?\nAnswer: -187610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91923 is divided by 355?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 6*i - 4*i - 3*g, -i + g = -19. What are the prime factors of i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.7 and 60177456778.\nAnswer: 60177456777.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-5 + 4 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4 - 10*z + 6 + 23*z - z**2. Let l be 233\/21 + -4 + 492\/126. Let f be n(l). Calculate the highest common divisor of f and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**3 + 4*a - 6*a**3 - 363 + 365 - 5*a + 0*a. Determine v(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*b + 42. Let z = b + -4. Suppose -z*c - 14 = -6*c. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/3 + 2676*p - 18453408.\nAnswer: 2*(p - 3624)*(p + 7638)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 32*t**2 - t. Suppose 27 = 51*z - 48*z. Suppose -9 = -k + z. Calculate the remainder when a(-1) is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26349808*l**3 + 61971*l - 99.\nAnswer: -158098848*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o + 2*o + 11*o)*(-3 + 0*o**3 + 2*o**3 - 2) to q + g*o + c*o**3 + p*o**2 + y*o**4 and give y.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.254 to 0 decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**4\/6 + j**3\/6 - 9*j**2. Let l(n) = -n**3 + 2*n**2 + 4*n - 1. Let h be l(3). Give z(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/4 + 0)*-2. Suppose u*v + 3 = 6*v. Is (-434)\/v*3\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06583 to 3 dps.\nAnswer: 0.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*p = -65*p - 4*v + 11, -2*p - 1 = v for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-21*6\/18). Let o = -392\/5 + 78. Which is the nearest to -1? (a) -3 (b) o (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001343107 to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 458, 462, 476, 506, 558, 638?\n\"Answer: g**3 - g**2 + 458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4*d**2 + 16*d - 20. Let g be a(-11). Calculate the greatest common divisor of g and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80207.6 micrograms in grams?\nAnswer: 0.0802076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2527 = 12*w + 349*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 603*t + 2. Let l(w) = 598*w + 2. Give -2*l(y) + 3*v(y).\nAnswer: 613*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/17)*u\/u**(-1)*(u**(-2\/3))**(-2\/33) assuming u is positive.\nAnswer: u**(3236\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -176 by 88.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - p - 5*v - 49 = 0, -2*p - 3*v = -111. Calculate the greatest common factor of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-189)\/((-153468)\/(-1160))*(-7)\/24.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (43 + -42)\/(3\/(-28)*(-2)\/2844)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t - 12 - 3*t**3 - 3 - 9 + 23 to the form f + a*t**2 + y*t**3 + c*t and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 55790 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 + -17601562?\nAnswer: -17601546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/(j*j**(1\/12))))\/j)\/(j\/j**(1\/17)))\/(j**(-6)*(j**(-2\/23)\/j)\/j) assuming j is positive.\nAnswer: j**(33919\/4692)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-10))\/((735\/25)\/7)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 0*k**2 - 10\/7*k**7 - 40 + 0*k + 0*k**4 - 16\/3*k**3 + 0*k**6 + 0*k**5. What is the third derivative of f(s) wrt s?\nAnswer: -1200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 30490216 to the power of 1\/3, to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 44\/7 + 92\/7*t + 8\/7*t**2 = 0.\nAnswer: -11, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**3 + 11*q**2 - 7*q - 4. Let r(g) = -2*g**3 + 11*g**2 - 8*g - 5. Calculate 7*d(a) - 6*r(a).\nAnswer: -2*a**3 + 11*a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -5*o**3 - 4*o**2 - 10*o - 16. Is i(-2) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -3*k**5\/35 + 15*k**4\/28 - k**3\/7 - 9*k**2\/2 + 54*k\/7 - 579. Suppose w(i) = 0. What is i?\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1955 a factor of 92211485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171*h - 88*h - 83*h - 24*h**3.\nAnswer: -24*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 51*u. Let l(b) = 19262*b. What is h(l(v))?\nAnswer: 982362*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(5\/2)*s)\/s**(3\/4))**(-5\/17) assuming s is positive.\nAnswer: s**(25\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 516721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13326114 a multiple of 198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 104*o + 540. What is the least common multiple of 558 and i(-5)?\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 19 = l. Let d be (-3)\/l*(-3 + 0). Does 6 divide 46 - 4\/(-2 + d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1142206720\/3 >= -380735572?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5*q. Let r(t) be the second derivative of 5\/3*t**4 - 2*t + 0*t**2 + 0*t**3 + 9. Determine r(d(l)).\nAnswer: 500*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (346*m**2 - 105*m**2 - 143*m**2)*(-4*m - 1 + m + 0*m).\nAnswer: -294*m**3 - 98*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) - (sqrt(1900) + 1)**2)*-5 + 2.\nAnswer: 50*sqrt(19) + 9507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -69 + -57 - -166 - -71\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -338 (base 10) to base 7\nAnswer: -662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 11:23 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 3, -39, 1, -2 in decreasing order.\nAnswer: 3, 2, 1, -2, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**5 + 2*l**4 - 8*l**3 - 8*l**2 = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -69 and 1670510.\nAnswer: 1670441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 0*o**3 - 2\/21*o**7 - 2\/5*o**6 - 1\/3*o**4 + 0*o**2 + 0 - 3\/5*o**5 + 7*o. What is n in k(n) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/2)\/(16\/(-24)). Let v(a) = -a**3 - 5*a**2 - 5*a. Let w(i) = -i**3 - i**2 - i - 1. Let n(q) = -v(q) + 2*w(q). Give n(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 10 - 20, 0 = 4*v - c - 465. Is v at most 110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/5)\/(366\/(-915))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 641 is divided by 95.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 80 - 13 = 0. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/300 and 2\/15.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 5*o**2 - 10*o + 57605. What is the thousands digit of b(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/2 + (-38)\/4. Let t = a + 25. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 14955 = -14971 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2920 + -1845. Find the second derivative of -38*m + 2*m**3 + q*m**5 - 1100*m**5 + 7*m wrt m.\nAnswer: -500*m**3 + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - 5*a - 5, -5*k - 147*a = -149*a + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -6 + 11 - x - 3*x - x + x**3 - 4*x**2. Let y be l(5). Let f(i) = 45*i - 4. Is f(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**2 + 2*h + 791. Let y = -293 - -293. List the prime factors of m(y).\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 28*d**2 - 38*d - 3. Give c(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m**2 - 10*m**2 - m + 7*m**2 + 2. What is p(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 68*k - 248. Let i be r(4). What is the remainder when i\/(-16) - (-1114)\/4 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - -5 - (23 - 23). Suppose l + 4*g - 21 = 0, i*l - g + 1 - 17 = 0. Solve 9*m = 4*m - l for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - (14\/28 - (-34)\/(-8)). Sort a, -0.225, 0.1, 0.4 in ascending order.\nAnswer: -0.225, 0.1, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -121*t + 32. Let g(s) = 41*s - 10. Let k(u) = 6*d(u) + 17*g(u). What is k(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, c: 1, n: 1, y: 4}. Give prob of picking 1 u and 3 y.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*y = -186*y - 80 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1394*m**3 - 1326*m**3 - 1331*m**3 + 0*m**2 + 4055*m**3 + 0*m**2.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 138 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - b = -2*b + 11532, -3*z + 11517 = -4*b. Suppose 0 = 4*a - z + 1103. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 81 = -2*j + 2*p, 276 = 3*j - 5*p. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350078039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 t when three letters picked without replacement from aaaaaaavaattaattat.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 480263246 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -73 - -294. Let t(c) = -6*c + 63. Let s be t(10). Suppose -4*o + 3*l + 97 = -3*o, s*l = -2*o + y. List the prime factors of o.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3553296\/2287 or 1553?\nAnswer: 3553296\/2287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/30 and 57\/2225?\nAnswer: 13350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 10:37 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 41 = 29. Suppose 5*o - o - 28 = p*t, 0 = o + t + 1. Solve -o*m - 4 = m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155978 is divided by 1026?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*r = 29, -8 = -c - r - 1. Let o = -26 + 44. Calculate the remainder when o is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/18)\/(125\/75*-2)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 258\/17? (a) -4 (b) -2\/21 (c) -3 (d) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-8)\/288*-345)\/(-3) and 23\/216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15+0.0493362\nAnswer: 15.0493362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 0*y + y = 233, 3*f = -4*y + 150. What is the remainder when f is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 5*r + 10. Let f(m) be the third derivative of m**5\/12 - 5*m**4\/6 + 43*m**3\/6 + 149*m**2. Let i(g) = 2*f(g) - 9*q(g). Give i(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 122*i. Let h(s) = -121*s. Let r(p) = -4*h(p) - 3*j(p). Let y(d) be the third derivative of -d**4\/8 - 3*d**2 - 47. Determine r(y(a)).\nAnswer: -354*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88444819.\nAnswer: 88444819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*r = -57, 8*r = -4*h + 10*r + 154. Let y = -35 + h. What is the closest to -1 in -1\/3, -2\/15, 0.1, y?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -c - 14 + 18, -4 = -4*g - 3*c for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -16 - 2*f - 1 + 10 + f. Let d be c(-10). Calculate the highest common factor of d and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11\/13748 or -1?\nAnswer: -11\/13748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 454042 - 21?\nAnswer: 454021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-27)*t*t*(t**(-27)\/t*t)\/t*t*((t**(-3\/16)\/t)\/t)**(-27))**(-16\/3) assuming t is positive.\nAnswer: t**(-113\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/60)\/(66\/(-110))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - u + 23 - 94 = 0, 105 = 5*j + u. Calculate the highest common divisor of j and 792.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g**4 - 7060*g**3\/3 + 1019203*g**2\/3 - 2344438*g\/3 + 222832 = 0. What is g?\nAnswer: 1\/3, 2, 152, 2199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g**2 + 7*g**2 + 44*g**3 - g**2.\nAnswer: 44*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 6*w - 18. Let j = -70 - -75. Suppose -r + j*y + 30 = 0, -4*r - 5 = -r + 4*y. Solve r*z - t + 6 = -20, z + w = t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4697, 2, 5 in increasing order.\nAnswer: -4697, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/9)*t*t)**31)**4 assuming t is positive.\nAnswer: t**(1984\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 5*s - 505, -s + 3 - 1 = 0. Let a = 169 - v. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + (sqrt(5) + -5*(-1 + sqrt(5)) - sqrt(5)) + sqrt(5)*1*-4.\nAnswer: -8*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000368914697 to six decimal places.\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.8 + 9.6. Let g = c + -2.3. What is the fourth biggest value in 5, g, 4, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 equal to -0.25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 3*d**2 + 3*d - 3. Let z(w) = w - 1. Let b(q) = a(q) - 3*z(q). Let r be b(3). What is r rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**2 + 2*p**4 + p**2 + p**2 - p**4 + 3*p**4 - 3*p**4 + (17*p**2 + 129*p - 129*p)*(0*p**2 + p**2 - 3*p**2).\nAnswer: -33*p**4 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 681688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -15*(-2 - (-20)\/12). Solve u - c = -4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 595 and 10.3289.\nAnswer: 605.3289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3991 - 3990.86. Sort u, -2\/5, 26, 0.1 in decreasing order.\nAnswer: 26, u, 0.1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*l)*(l - 2*l - l) - l**2 + 2*l**2 + 0*l**2 + 196*l**2 + 34*l**2 + 41*l**2 to the form p*l**2 + u*l + t and give p.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 + 232*l**3 + 21 - 48*l**4 + 20 - 368*l**2 + 252*l - 4*l**5 - 30 = 0.\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -6606*n. Let c(u) be the third derivative of -u**5\/60 - 838*u**2. Determine c(z(d)).\nAnswer: -43639236*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v - 8. Give x(-12).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-9)*-21*(-780)\/50. Let f = 366 - t. Factor -1\/10*c**3 + 3\/10*c**f + 0 + 2\/5*c.\nAnswer: -c*(c - 4)*(c + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.03 - 0.07. What is the nearest to r in 10, 2\/5, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**3 + 13*g**2 - 298*g + 40. What is f(-17)?\nAnswer: -963","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o - 20907*o**2 - o + 20840*o**2)*((-o + 0 + 0)*(0 + 0 + 5*o) - o**2 + 2*o**2 - 3*o**2) in the form i*o**2 + a + h*o**4 + x*o**3 + k*o and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (150*j - 14*j**2 - 150*j)*(0*j + 2*j + 0*j)*(-33 - 32 - 46) to the form q*j**3 + c*j**2 + x + u*j and give q.\nAnswer: 3108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8*19\/(-5472)*6\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-342)\/288)\/(6\/8) and -31\/270?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114442, 228140, 341090, 453292, 564746?\nAnswer: 675452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 154947750?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2857042900315 and 2.\nAnswer: -2857042900313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1413120 - -103?\nAnswer: 1413223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 12*k - 12. What is the lowest common multiple of d(-8) and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7217 - 100943\/14. Find the common denominator of (-7)\/1155*(-124450)\/(-760) and r.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10331113?\nAnswer: 13, 653, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50*((-8487)\/230 + 37).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m = -9*m + 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of i**6\/60 + i**5\/30 + i**3\/6 - 2*i**2. Is 10 a factor of v(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -17, -43, -77, -119, -169?\n\"Answer: -4*s**2 - 14*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2413?\nAnswer: 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 2*d - 1. Give j(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -65037235 or -325186172\/5?\nAnswer: -325186172\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 401500163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 459.3 + -459. What is the third smallest value in b, 7, 0.7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -801864 divided by -602.\nAnswer: 1332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 + 3943*y - 107922. What is q(27)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z. Let a(b) = -846545 + 846545 - 48*b**2. Determine m(a(d)).\nAnswer: -96*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20219 divided by 1510?\nAnswer: 20219\/1510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52 - -63. Suppose -3780 - 2677 = -b*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 - 5096*o.\nAnswer: -o*(o + 5096)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 19, -3328 in decreasing order.\nAnswer: 19, 3, 2, -3328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 6 = -c. What is the remainder when 78 is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 14704 (b) 3 (c) 835\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z - 1. Let w be v(-5). Let x(p) = -2 - w + 3 + 2. Let i(f) = f - 5. Suppose -4*b + 3 = 19. Give b*x(d) + i(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 2101112101011 (base 3) in base 15?\nAnswer: 1a1547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y**2 + 6*y + 5. Let j(g) = -g**2 + 2*g + 3 - 2 - g. What is 4*j(m) - s(m)?\nAnswer: m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -2547.3418 to the nearest 10.\nAnswer: -2550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -3*f + 5661, 4*c = -1 + 9. Let x = f - 7457\/4. Find the common denominator of x and 101\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000354081 to 7 decimal places.\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 118276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 + 6*z - 8. Let i(k) = k + 3. Let l be i(-9). Let b(g) = 2*g**2 + 7*g - 9. Give l*b(d) + 7*c(d).\nAnswer: 2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*j - 11*j + 481 = -305 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 50 + (-7297 - -7325).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -40, 7, -0.05192?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*d + 827 = 0, 75*d - 73*d + 802 = 2*i. Calculate the lowest common multiple of 42 and i.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 - (-50 + 106 + -62)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((2\/(-20))\/(150\/1125))\/(54\/(-8)). Let x = 1.7 + -1.5. Which is the third biggest value? (a) w (b) x (c) 5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*w - 15 = -k, w = 3*k - 25. Let i be (-49)\/(-21) - (-4)\/6. Solve -k = -i*r + 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*r - 18*r - 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 989 - 270 - 133*m + 517*m - 4*m**2 + 1301.\nAnswer: -4*(m - 101)*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -168721116, -168721114, -168721102, -168721074, -168721024, -168720946?\n\"Answer: d**3 - d**2 - 2*d - 168721114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -137 (c) 7 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -j + 1\/3*j**3 + 0 + 0*j**6 + 0*j**5 + 0*j**4 + 0*j**2 - 2\/21*j**7. What is the second derivative of a(t) wrt t?\nAnswer: -80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 546\/2912 - (-2993)\/336 - 9\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**4\/6 + 4*d. Let t(w) = 3*w. Calculate x(t(y)).\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 5 (c) -0.4 (d) -2\/3 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -273*r**5 - 46*r**4 - 24*r**3 + 3975163*r**2 wrt r.\nAnswer: -16380*r**2 - 1104*r - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 255709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9*50\/60 - -10)*(-4)\/10. Let k(v) = -11*v**3 - 3*v - 2. Calculate k(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 244*b + 5494 = 5744, 0 = 2*v + 4*b - 8 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 154 - (32 - (52 + -34)) - (11 - 2).\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 1.6, -28 in descending order.\nAnswer: 1.6, -1\/8, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.7 and -0.05097.\nAnswer: -0.188589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p**(-1\/5)\/p))\/p)**(2\/37))**14 assuming p is positive.\nAnswer: p**(168\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/173 + -332\/1211. Let o = 73 - 94. Let p = o - -21.4. Which is the third smallest value? (a) p (b) 1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) - -2*sqrt(612) - sqrt(612))*-4)**2 + 2 + (sqrt(612) + 0)**2 + -3.\nAnswer: 39779","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 87.2269 hours?\nAnswer: 314016840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.29 + -225.29. Let l = -221.000214 - s. Round l to 5 decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -87, -797, -2635, -6165, -11951, -20557?\n\"Answer: -94*l**3 - 52*l + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2899 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of 67*j**7\/70 - 1019*j**4\/24 - 847*j**2. What is the second derivative of p(k) wrt k?\nAnswer: 2412*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1725*q**2 - 117161*q + 117161*q in the form y + w*q**2 + m*q and give w.\nAnswer: -1725","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 divided by 500732?\nAnswer: -31\/250366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 - 32. Suppose m + x = 82, 4*m - 3*x - 4 - 338 = f. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 - -1204?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 762945786 is divided by 229?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l - 124. Let w(s) = 3*s**2 + 2*s - 1285. Calculate w(f(z)).\nAnswer: 27*z**2 + 2226*z + 44595","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.84045 centuries in months?\nAnswer: 2208.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 m when two letters picked without replacement from mtqattmqqmmqqtq?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10250970 divided by 26835.\nAnswer: -382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by (26\/(-4))\/((-55)\/220)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + (-87 - -91))*(396\/(-81) + (-2)\/(-9))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r - 2*r + 54*r**3 - 15*r**2 - 52*r**3 in the form h + k*r + q*r**2 + j*r**3 and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 67993490*l*q - 58897559*l wrt q.\nAnswer: 67993490*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*q**5 + 15*q**4 - 698*q**3 + 610737*q**2 wrt q?\nAnswer: -420*q**2 + 360*q - 4188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -67021118 + -32.4\nAnswer: -67021150.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -0.6. Let z = 97059\/4 - 24265. Which is the third smallest value? (a) 6.3 (b) p (c) -4 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001763 rounded to six decimal places?\nAnswer: 0.000176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -3918727?\nAnswer: -1175618.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3076, -3095, -3112, -3127, -3140, -3151, -3160?\nAnswer: -3167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or -3\/22438?\nAnswer: -3\/22438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -15. Suppose z = 5*b - 7, -4*b + 4*z = m*z - 6. Calculate the remainder when 2 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 12*p - 9*p = 200 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 478259053 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139091 - 579*g + 139091.\nAnswer: -579*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/9 bigger than 0.0705?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*s - 2. Solve 5*f = s - 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.094? (a) 3 (b) 5 (c) 0.4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4765913ug to nanograms.\nAnswer: 476.5913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 24570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126612?\nAnswer: 2, 3, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97768 is divided by 97759.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*q**2 - 3*q**2 + 12425*q**3 - 12423*q**3.\nAnswer: 2*q**3 + 8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24499381?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190505634?\nAnswer: 2, 3, 11, 487, 5927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10, -14, -18, -22, -26?\n\"Answer: -4*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 316\/14 - -4 - (-36 - 11264\/(-308)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4660 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + sqrt(208))*3 - ((sqrt(208)*-5 + 4 + sqrt(52)\/sqrt(4))**2 + -3).\nAnswer: -4718 + 128*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1681 + 6813\/4. Find the common denominator of 76\/9 and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 7*u - 6. Let p = 179 + -186. Suppose 31 = x - 5*v, 4*x + 3*v = -v + 28. Let o = p + x. What is q(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6848739, -13697468, -20546195, -27394920, -34243643?\n\"Answer: f**2 - 6848732*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 23221123 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 57*a**8\/16 - 771*a**4\/4 + 652*a**2 - 2. Find the second derivative of j(f) wrt f.\nAnswer: 23940*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186356174?\nAnswer: 2, 157, 593491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**2. Let f(t) be the first derivative of -2867*t**3\/3 - 2*t - 4828. Calculate f(c(q)).\nAnswer: -11468*q**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*k - 46 - 41. Solve -2*a - o + 0*o = -3, 5*a - 7 = -k*o for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -1, 22, 8 in increasing order.\nAnswer: -1, -3\/5, 8, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 61 = -3*u - 0*a, 43 = -2*u - 3*a. What are the prime factors of 848\/10 - ((-56)\/u - 3)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-16)\/15) + 434\/3472\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 55186.2595 to the nearest 100.\nAnswer: 55200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2*-3*(sqrt(208) + sqrt(208) + sqrt(208) + sqrt(208) + -2 + 5 + (sqrt(208) + -2)*-1))**2.\nAnswer: 3888*sqrt(13) + 68121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r. Let j(b) be the second derivative of -131*b**3\/6 - 6*b + 86. Calculate j(f(a)).\nAnswer: -393*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 8:28 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98942 divided by -49471.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 4*l + 88. Suppose -2*x = -2 - l. Let j = 34 - 22. Calculate the highest common divisor of j and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 167702?\nAnswer: -1676ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/6))**(-8))**(1\/15) assuming f is positive.\nAnswer: f**(4\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-138)\/759 - 2\/(-11). Suppose 0*q - 2 = -2*q. Suppose -33 = 5*c - 2*n, 3*n - 17 = -2*c + 3*c. Sort b, c, q.\nAnswer: c, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 32669840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddyy when four letters picked without replacement from dyydyyyyyy?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33.85 + 38.85. Let m = 3 + -3.2. What is the closest to -0.2 in u, -3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345 is divided by 50.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1\/2)\/j)**(2\/67) assuming j is positive.\nAnswer: j**(-1\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 325181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 7. Calculate the smallest common multiple of d(5) and 11\/(165\/100)*6\/4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 410850 - 216199. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-135)\/(-30) + 0 + -5. Which is the closest to d? (a) 3 (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y. Let o(q) = q**2 + 78*q. Calculate i(o(u)).\nAnswer: -2*u**2 - 156*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*j - 4*j + 9*j)*(2*j**2 - 2*j**2 - 2*j**2).\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(2565\/18)*(-1 + -4).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (26\/30 - 1)\/((-12)\/5526). Let t = c + -288\/5. Are t and 3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-1)\/(4\/(-6))). Let j = -69 - -64.6. Let r = -4.4 - j. Which is the closest to r? (a) -4 (b) v (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 646191, 1292571, 1938947, 2585319, 3231687?\nAnswer: 3878051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1705?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c - 8. Let z be x(10). Sort -1, z, 3.\nAnswer: -1, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -58, -75, -86, -91, -90?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*x - 7 + 79 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.23? (a) -15\/17 (b) -5 (c) -0.3 (d) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11707 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*f + 7, -2*f + d + 17 = -4*d. Find the common denominator of (10\/(-175))\/(f\/185) and 81\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v. Let o(s) be the third derivative of s**8\/2240 + s**5\/20 + 4*s**2. Let a(q) be the third derivative of o(q). What is g(a(z))?\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 21, 24, 29?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 261.3 + -1.06104.\nAnswer: 260.23896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -39, -89, -173, -291, -443, -629, -849?\n\"Answer: -17*k**2 + k - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y**2 - 2*y + 3. Let p be d(1). Which is the second smallest value? (a) p (b) -0.3 (c) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 6:48 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443392?\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1108195, 1108204, 1108217, 1108234, 1108255, 1108280, 1108309?\nAnswer: 1108342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 54\/5 of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -4 (b) 7\/3 (c) -140 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 8:12 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 - -45. Let n(l) = -4*l + 3. What is the remainder when u is divided by n(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c = -36*c - 89*c - 1703 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2228.67 - 225.77. Let o = 1848 - g. What is o rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**3 - 3*h**2 + 0*h**3 - 11*h**2.\nAnswer: -4*h**3 - 14*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 33\/5 of a milligram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(-7\/3)))\/(y\/((y*y**13)\/y)))\/(y**(2\/11))**(-10) assuming y is positive.\nAnswer: y**(533\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 3:05 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 times 0.0752?\nAnswer: 0.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(18) + sqrt(216)\/(2*sqrt(12)))*2)\/((sqrt(45)*-3)\/sqrt(5) - -1*sqrt(54)\/sqrt(6)))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -451 + -158?\nAnswer: -609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d**2 - 13*d**2 + 17*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6217 - -6522. What is the remainder when q is divided by 30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 12:56 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.12 in -3\/5, -1, 1, 3, -8?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23.90000097 + 23.9. What is p rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 j, and 2 p when four letters picked without replacement from {j: 2, p: 4, c: 1}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 504 divide 1013378674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5.802 * 0.5\nAnswer: 2.901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37700 divided by -1.\nAnswer: -37700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11352639*w**3 - 119*w**2 - 275858?\nAnswer: 68115834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26701981?\nAnswer: 2113, 12637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -u**5\/20 - u**4\/4 + 31*u**3\/6 - u**2 - 11. Let x be z(-4). Solve d - 5 + x = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w + 318 - 62 = 0 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 895.5 (b) -11 (c) 2 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -r**4\/6 + r**2. Let a(s) = -s. Suppose 4*h = 5*u - 3 + 12, h - 2*u - 3 = 0. Give h*j(k) - 3*a(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 9*w**2 - 12*w + 28*w - 16*w. Let q(o) = 3*o. What is q(t(i))?\nAnswer: 27*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 3*y**2 - 9*y + 6. Let v be s(6). Let w = 59 - v. Let f be w + 1\/(-2) + 244\/160. Which is bigger: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 329658 and 423.\nAnswer: 988974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -11665*c - 163357. Determine n(-14).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 23831 (base 9) to base 15\nAnswer: 4b0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.1 (b) 0 (c) 3 (d) 61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -8*w - 2*w + 517454. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 537.375 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(704) - (sqrt(704) + 4 + -1)) + (-3 + sqrt(704))*4)**2.\nAnswer: -3840*sqrt(11) + 45956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d**2 + 18*d - 7. Let g(y) = -y - 2. Let b(t) = -9*g(t) - x(t). Let w(f) = f**2 + 2*f - 6. Calculate -2*b(s) - 9*w(s).\nAnswer: -s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 558211465?\nAnswer: 5, 7, 15948899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000020252 rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4742 + 4743. What is the closest to 1961 in -0.5, 0.5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbmmmmbmmmmmmmmbmmmm. What is prob of picking 3 b?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l**3 + 7*l + 2. Let n be (-24)\/(-10) + 6\/(-15). Let f(r) = n - 2*r**3 + 13*r - 7*r**3 + 2. Determine 6*f(q) - 11*y(q).\nAnswer: q**3 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 90.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b**3 + 8*b**2 + 37*b + 14. Let l be q(-6). Is 727 >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -248\/1354953 or 1?\nAnswer: -248\/1354953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3\/2 + 19\/10. Let u = -2.1 + 2. Let o(i) = i**2 - 85*i + 1800. Let h be o(44). Which is the closest to 0? (a) r (b) h (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00159761668 rounded to 5 dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 11*t + 9. Let w(g) = -2 + 1 + 5 - 2136*g + 2141*g. Calculate 6*o(b) - 13*w(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 111, 166, 221, 276?\nAnswer: 331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/40 - 6\/15. Let o(q) be the third derivative of k*q**5 - 1\/4*q**4 + q**2 + 0*q + 1\/2*q**3 + 0. Find j, given that o(j) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/3 + 535937992*w\/3 - 35903691408624008\/3.\nAnswer: -2*(w - 133984498)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -i**4\/10 - 86*i**3\/5 + 532. Solve k(l) = 0 for l.\nAnswer: -129, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 8) to base 13\nAnswer: 4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69 + -13. Let h = t - -82. What is the biggest value in h, -0.3, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(((-2)\/32)\/(-1)). Suppose 42 = x - l. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5537423399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246583453 is divided by 127?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 9:10 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 - -2 - (6 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -2) + 5 - (52 - 33)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37542 - 6727. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 0)\/1 - (-19 + 12). Solve -m = -d - 4, 9*d - y*d = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4738318?\nAnswer: 2, 13, 182243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -2 + 1 - 6 - (-186 + 228)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14429 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oa when two letters picked without replacement from {h: 3, t: 3, a: 12, o: 2}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 110, 478, 1472, 3404, 6586?\n\"Answer: 52*k**3 + k**2 + k + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 82471919 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 117459*d*o + 78693*o wrt d.\nAnswer: 117459*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 3*l**3 - 4 - 6*l + l**2 + 2*l**3. Let s(i) = -i**2 - 5*i + 3. Let f be s(-6). Let a(n) = -n**3 + n**2 - 5*n - 3. Calculate f*b(y) + 4*a(y).\nAnswer: 2*y**3 + y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -210, -198, -178, -150, -114, -70?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 7*q**2 - 11*q - 1. Let a be s(-5). Suppose -2*m + v = -0 - 9, -a*m = -5*v - 33. Let u be 2 - (8\/20)\/(8\/20). Solve u = m*d - 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 23 + -1 + 2\/2. Suppose -5*d + r + 7 = 0. Suppose y = -y + d. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c + c**2 + 0*c - 7*c + 2*c + 5. Determine m(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11406 + 11409. Let c(o) = -5*o - 51. Let n(j) = 2*j + 17. Give r*c(w) + 8*n(w).\nAnswer: w - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*n = 4. Suppose -2*p = -n*p + 6. Calculate the highest common factor of 12 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 4*t = 4*a - 34, -5*t - 2150 + 2558 = 24*a for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/2)\/(3\/(-8)). Let l be 212\/18 - y\/18. Calculate the highest common divisor of l and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 - (-7 + (-25)\/2 + (-1)\/2) and 1384.\nAnswer: 4152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2. Let m(j) = -8*j**2 - 17*j**2 + 5*j**2. Calculate f(m(y)).\nAnswer: -800*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1309 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20192 + 42619. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41 and 82820.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 + 0.1. Let q = 29144 - 29142. What is the second smallest value in -6\/25, -4, y, q?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -76*g + 1970. Give f(26).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 163, 15 in increasing order.\nAnswer: 1, 15, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -3*l + 2, l - 7*h - 52 + 48 = -2*h + 14 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -587372, -587020, -586668, -586316?\n\"Answer: 352*v - 587724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 10 = -2*y - 5*x, -3*x = -5*y - 6. Suppose k - 3*k + 4 = y. Find the second derivative of 2*c**k - 1 - 2 + c + 3 wrt c.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 + -1 + 3 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -378 = -6*u + 114. Suppose u + 247 = j. List the prime factors of j.\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 6:24 AM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*v - 148*v - 305*v - 35*v - 679*v as n + i*v and give i.\nAnswer: -1218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.47 - -0.07. Let z = d - -0.4. Let m be 50\/45 + 1*-1. What is the nearest to z in 0, m, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42813*j**3 + 4077*j**3 - 3063*j**3 + 556*j**3.\nAnswer: -41243*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5639436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 237153 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 29*t**2 - 228*t - 10. Let q be j(8). Solve 10*b + q - 2 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - -3829240\nAnswer: 3829246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 73962 and 21417.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17900*x - t + 49 = 17895*x, 0 = 2*x + t + 14 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 5. Suppose 0 = -y - 4 - 3. Let w be v(y). Solve -5*l + 18 = -2*a, -a + 5*l = l + w for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11053*c - 8425*c - 1947*c to the form b*c + h and give b.\nAnswer: -21425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 + 1)*((-2 + 3 - 3)*(3 - 6 + 1) + 2 - 3 + 4 - 3 - 2 + 7)*(56*z - 92*z + 58*z) in the form p*z + m and give p.\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 142952.9l?\nAnswer: 142952900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v + 48*v - 240 = 0. Solve 0 = -2*l + 10, f + 0*f = -3*l + v for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**2 + 300*d. Let t be y(0). Which is bigger: 3\/1114 or t?\nAnswer: 3\/1114","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 27*j**2 - 50*j - 14. Let m be s(-19). Let b = m + 4849. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h - 1. Let c(y) be the first derivative of y**2\/2 + y - 259. What is 3*c(d) + 2*m(d)?\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/5 + 11458*v**3\/5 + 103068*v**2\/5 + 61830*v + 309123\/5.\nAnswer: (v + 3)**3*(v + 11449)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 34. Let n(x) = -6*x - 39. Let v be n(-7). Suppose 5*l + 8*m - v*m - t = 0, -5*l = m - 10. Solve 4*w = -2*q - 8, 0*w - q = -3*w - l for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (42\/21)\/(1\/2). Let j be 7\/3 + (-3 - 0). Which is the nearest to -1? (a) -5 (b) j (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1005173, 1005174, 1005177, 1005182, 1005189?\nAnswer: 1005198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 451103 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 4*i**2 - 11*i + 10. Let x be a(7). Suppose 3*p - 11*p + x = 0. Let o(u) = -1059*u - 10. Let d be o(p). Round d to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1259, -2525, -3795, -5069, -6347?\n\"Answer: -2*p**2 - 1260*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -2*n - 5*y, 2036*y = 5*n + 2033*y - 39 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -3060?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - 0.5. Let u = f - 0. Let m be (1\/5)\/((-2)\/(-5)). Which is the nearest to 1? (a) m (b) u (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y + 0*y + 2*y + (-2*y + 5*y - y)*(-1 - 3 + 1).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-11)*(-64)\/384.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g + 192. Let n be o(-45). Let v(h) = 6*h + 5. Let r be v(-4). Let i = n + r. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - -47568520.\nAnswer: 47568519.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 - 210*l**2 + 700*l + 2280.\nAnswer: 5*(l - 38)*(l - 6)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 90.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and 369858342.627?\nAnswer: 369858342.627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 879371 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -v**5\/20 - v**4\/4 + v**3\/3 + 5*v**2\/2 + 13*v. What are the prime factors of b(-8)?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.255 - -3.745. Which is the closest to 2\/5? (a) w (b) 5 (c) 1\/3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2*6\/3)\/4. Is f at most as big as 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 6:27 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/2 - (16 - 902\/44)) + 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((2 + (sqrt(98) - sqrt(98)*2) + 2 - -1*(sqrt(98)*-2 + -5)) + 4))**2.\nAnswer: -4536*sqrt(2) + 32076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261411 is divided by 526.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k**3 + 3*k**2 - 5*k + 8. Let b be ((-4)\/16 - 0)\/(1\/(-8)). Is i(b) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 0. Let r = 6 + z. Suppose -5*d - r + 0 = 0. Which is smaller: d or -2\/11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20803 and 9376?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 5*f - 30 = -0, 5*d - 3 = -4*f. Suppose 0 = 2*z + z. Let x(y) = -6*y**2 + 3. Let p be x(z). Solve -p*o + 0 = -d for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 111 - 143. Let o = 114 - 61. Let y = o + d. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13209, 13193, 13199, 13227, 13277, 13349, 13443?\n\"Answer: 11*f**2 - 49*f + 13247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 324590\nAnswer: -129836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 3*h - 951, 2*d + 5*h = 3*h + 382. What is the remainder when d is divided by (-17)\/(374\/(-220)) - (-18)\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - y + 10 + 11 = 0, 2*u = 2*y + 6. Let t be (-2)\/(-3)*(15 + u). Calculate the highest common divisor of t and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -9. Suppose -2*v + 0*j = j - 5, -3*v - f*j = -20. Solve 3*p = -v*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00069847 rounded to five decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (11 - 3 - -1) + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 1:48 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 4*o + 30, -2*o + 0 = 6. Suppose 4*y + g = 5. Let s(t) = -t**2 - 5*t - 1. Is s(y) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1105\/360*2 - 6) + (-5)\/(-60). Let 2\/9*s**5 + w*s**4 + 4\/9*s**2 - 4\/3*s**3 + 10\/9*s - 2\/3 = 0. What is s?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 - -2.1. Let r = 3887.3974 + -3889. Let u = r + f. Round u to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m*m**2*m)*m*m)\/(m\/m**(-3\/2))*(m\/m**(-1\/2)*m)**23)\/(m\/m**0*m*m**11\/m)**20 assuming m is positive.\nAnswer: m**(-187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 2*q + 1. Let z(t) = 2 + 8 - t - 4 - 7. Determine s(b) + 3*z(b).\nAnswer: b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.262 less than -71888.3263266?\nAnswer: -71888.0643266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24087 = 13*u - 40120. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 5*w + 115, -2*p - 6*w + 230 = -11*w. Let o = p + -209\/2. What is the common denominator of o and 5\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -3*g - 5*r, -3384*g - 2*r = -3380*g + 5*r + 9*r - 8 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180 and 14982465?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6159 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 1)*((-3*l + l + 3*l)*(27*l - 3*l + 43*l) + 3*l**2 - 3*l**2 + l**2) to k*l**2 + f + y*l and give k.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 95852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 91 - 70 = 0. Let w = h + 26. Suppose -2*r + 2*m = -4*r + 82, w = m. List the prime factors of r.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 2) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 255 divide 615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/9 less than or equal to 133.76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 267 - 239. Let l be ((-8)\/12*39)\/((-2)\/c). Calculate the highest common divisor of l and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t*t**(-1))\/t)*((t*t**(-1\/6)*t)\/t)\/t)**29 assuming t is positive.\nAnswer: t**(319\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -144.881104 to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160\/49 bigger than 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 6*l**3 - 15*l**2 - 7*l + 5. Let g be f(3). Suppose 0 = -2*t + 4*t. Suppose t = 3*j + 2*j - 110. Calculate the highest common factor of g and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2220*w - 145*w**4 + 2220*w - w**4 + 2*w**4 + 0*w**4 + (0*w + w**3 + 0*w)*(3*w + 0*w - w) + 0*w**4 - 2*w**4 + w**4 + 4*w**4 - 2*w**4 - w**4 - w.\nAnswer: -142*w**4 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -13, 3, 37, 95?\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15560209 rounded to three decimal places?\nAnswer: 0.156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7203550 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**4\/4 - 103*v**3\/2 - 84*v**2 - 33*v\/2 + 67\/4 = 0. Calculate v.\nAnswer: -67, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*1\/2*-1. Let h(j) be the first derivative of 0*j**2 + 2*j**2 + 3 - j - 2. Give h(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27896)\/951*((-1720)\/352 - 4\/11)?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate p*q**2*u + 474600*p*q*u - 5*q**2*u + 6*q**2 + 993*q*u with respect to p.\nAnswer: q**2*u + 474600*q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q**2 - 311*q - 5. Let k be p(0). Let f(u) = u**2 + 1. Let j(o) = 2*o**2 + 9*o + 15. Let c(s) = f(s) - j(s). What is c(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/8 of a kilometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -682152 (base 9) in base 6?\nAnswer: -12430332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + -0.4. Suppose -4*l = -36 + 60. Let y(j) = 5*j + 23. Let d be y(l). Which is the third biggest value? (a) q (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2146*y - 939*y + 2708*y.\nAnswer: 3915*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -479 and -2.\nAnswer: 958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/305058 and 38\/457587?\nAnswer: 915174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/8157525 and -1\/652602.\nAnswer: 16315050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 9. Let n(z) = -z**3 - 8*z**2 + 7*z - 4. Suppose -2*s - 2*s + 5*y + 185 = 0, 0 = -2*s + 4*y + 100. Calculate the remainder when s is divided by n(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -125 divided by -792535\nAnswer: 25\/158507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k + 6. Let g be q(-5). Suppose c + g = 5*c. What is the remainder when 47 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*u + 39414, -4*c - u + 29713 = -9704. List the prime factors of c.\nAnswer: 2, 13, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -882, -1765, -2648, -3531, -4414?\n\"Answer: -883*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**3 + 8*u**2 - 56*u + 673. Does 58 divide o(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*i*n**3 - 3*i + 1722352*n**3 - 3743549 with respect to n.\nAnswer: 12*i*n**2 + 5167056*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1284 is divided by 333.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.619977 to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 t, and 2 g when four letters picked without replacement from {t: 1, r: 1, q: 1, g: 2, v: 2, f: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 346562 (base 7) to base 11.\nAnswer: 42952","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1475*n**3 - 3*n**2 + 6*n**2 - 3*n**2.\nAnswer: -1475*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) -3 (c) -50 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 1930?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11*-10.78\nAnswer: 118.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 231785356 to the power of 1\/3, to the nearest integer?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -4*o + 32, -8*a - 14 = 2*o - 3*a. Suppose 3*p = -0*y + y + 18, -6 = -p - o*y. Solve n = p*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -331*m - 11993 = 42029 - 9006. What is the nearest to 2 in -0.5, m, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/3)\/(3\/12)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/288 and -65\/4464072?\nAnswer: 17856288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 9*j**2 + 10*j + 12. Let z be (1 - 4)\/(1\/(-3)). Suppose 2*i = -z - 7. Give n(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 200214 and 196?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e - -4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 136512022021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12382*y**3 + 5*y**2 + y - 59850?\nAnswer: 37146*y**2 + 10*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 52 = 418. Put -4, 2, k in increasing order.\nAnswer: k, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8248545 divided by 11?\nAnswer: -8248545\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1078) - -2*sqrt(1078) - sqrt(1078) - sqrt(22))\/((sqrt(6) + sqrt(18)\/sqrt(3))\/sqrt(3)).\nAnswer: 13*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2934.90202 rounded to the nearest integer?\nAnswer: -2935","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*s - 27*s + 11*s - 1126.\nAnswer: -s - 1126","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence auu when three letters picked without replacement from {u: 3, a: 5}?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**4 - l**2 + 4*l + 1. Let x(j) = -4*j**4 - 55*j**3 - 1798*j**2 + 24*j + 6. Let p(t) = -6*b(t) + x(t). What is the third derivative of p(q) wrt q?\nAnswer: 48*q - 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*l - 9, -n - l + 11 = 3*n. Suppose 0 = 3*p - n*b - 9, p + 1 = -b - 6. Is 0 + 664 + (p + 6 - 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*f**2 + 3*f**2 - f**2)*(5*f - 3*f - 3*f) + 4*f**3 + 9*f**3 - 5*f**3)*(-7*f - 13 + 13).\nAnswer: -42*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/8 of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.5 and 1.329.\nAnswer: 2.829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 + 31. Let g = j + -65. Sort -3, g, -12, 1 in decreasing order.\nAnswer: g, 1, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 258 and 219257.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -3, -3\/2, 9?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12, 6, -10, -42, -96, -178, -294, -450?\n\"Answer: -j**3 + j**2 - 2*j + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 45*k**3 - 17*k**2 - 68*k + 1045. Is h(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1, 13, 41, 83, 139?\n\"Answer: 7*d**2 - 7*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 10*i + 5. Let u(f) = -f**2 + 14*f - 42. Let d be u(11). Calculate x(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 g when four letters picked without replacement from {y: 4, g: 2, s: 6}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -y**4\/4 - y**2. Let l = 186 + -177. Let o(a) = 11*a + l*a - 28*a + 11*a. What is u(o(b))?\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 3*l + 5*z, -5*z - 43 + 25 = 2*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 2\/5, -5\/4, 0.5, 6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 2*n - 1. Let g be b(-1). Solve 0 = 9*v - g*v - 35 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22696951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.113679424 plus 152?\nAnswer: 151.886320576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -14. Suppose -4*z - g + 5*g = -44, z - 4*g = -v. Find the common denominator of 19\/12 and 1\/2 + (-27)\/z.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -4. Suppose -2*x = 1 - r. Solve 1 + 7 = -5*v - x*g, 2*v = g + 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(208)*4)\/sqrt(4)*6*-4)\/(sqrt(4) - (sqrt(100) + sqrt(100) + sqrt(100)*4 + sqrt(100) + sqrt(100)) - sqrt(28)\/(sqrt(35)\/sqrt(5))))**2.\nAnswer: 1872\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/6)\/(2\/93). Suppose 6*z - z - 46 = -2*q, -5*z + 3*q + p = 0. Suppose -2*d = 3*u - 2*u - 19, -3*u + z = -d. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 91425 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 - (-43 + -30)) + 1 + 10.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -19, -39, -61, -85?\n\"Answer: -q**2 - 17*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22 or -95?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s = 16*s. Suppose -4*c + 21 = -l + 63, 3*c + 3*l + 24 = s. Let g = c - -118. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 393339318 to the nearest integer?\nAnswer: 733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 78 - 74 = -4*q, 0 = -5*q - 5. Sort a, -5, 3 in decreasing order.\nAnswer: 3, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awgatgkot. Give prob of sequence wt.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123304, 246626, 369972, 493342, 616736?\nAnswer: 740154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 24, 26, 28, 30, 32?\n\"Answer: 2*n + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 0*z + 16 = -3*x, 8 = 2*x + 2*x for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 14*o**2 + 14*o - 21. Let y be p(14). Suppose -5*q = -3*f - f + y, 3*f - 3*q - 135 = 0. Calculate the remainder when f is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138, 290, 460, 654, 878, 1138?\nAnswer: 1440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 6:45 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-96)\/(-18) + -6)\/(8\/36).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14906425428.21754 - -0.4?\nAnswer: 14906425428.61754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-15)\/(-20) - 845\/(-52) and 187.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifty-nine quarters of a microgram?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -5, 1\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 271012381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*i. Suppose -8*t + 0*t + 80 = i. Solve -t = -0*w - 2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m + 3. Let j(l) be the third derivative of 11*l**4\/12 + 45*l**3\/2 - 126*l**2. Let z be j(-6). What is y(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.103 * 0.05.\nAnswer: -0.00515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.5 (b) -2\/11 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - f + 108 = 87, 13*y + 61 = -4*f for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6681579101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(1872) - sqrt(637)*2) + 3*(3*sqrt(26) + sqrt(26))\/sqrt(2) + 5 + -3)**2.\nAnswer: 136*sqrt(13) + 15032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-1) + (0 - -3042))*11. Suppose 12*g = 23*g - p. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.48644897 times 5?\nAnswer: -7.43224485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1835117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 5*c + 1. Let g be n(5). Let w = g - 1. Suppose -r + 8 + 1 = w. Calculate the highest common divisor of r and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**8)\/(y**1\/y)*((y*y*y\/(y\/(y**(1\/3)*y)))\/y)**(12\/5)*((y\/y**(4\/7)*y)\/((y\/(y*y**5*y))\/y))\/((y**(-5)*y)\/y**(-4)) assuming y is positive.\nAnswer: y**(806\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.165978 in 2, -1, 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1128.458 + -1135. Let t = 6.5 + h. What is t rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -4*a + 15, 0 = 6*k - 10*k + a + 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of f**4\/6 - f. Let i(l) be the first derivative of -1 + 0*l + 0*l**2 + 1\/3*l**3. What is g(i(h))?\nAnswer: 2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -8*n - 6. Let s be k(-3). Let b be s*1\/(-6)*-2. Suppose 2*t = -b + 2. Calculate the common denominator of t and -83\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 118250 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (44\/55)\/((-2)\/5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 5:48 PM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 15*n + 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.00273l?\nAnswer: 7002.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of k**3\/3 - k - 8. Determine r, given that x(r) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1777341?\nAnswer: 3, 389, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -1766*q**2 - 1. Let h(y) = -14053*y. What is h(s(v))?\nAnswer: 24817598*v**2 + 14053","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2527594 is divided by 1136.\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**5 + 28*j**4 + 32*j**3 - 64*j**2.\nAnswer: 4*j**2*(j - 1)*(j + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f - 6. Let g be s(-7). Solve -g = -b + 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m. Let d(f) = -121075*f**2. Determine z(d(h)).\nAnswer: 121075*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.8280334 to three dps.\nAnswer: -3.828","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**2 + 19*a + 36. Let o be 3 + (-24 + 28)\/(5\/10). What is j(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 2:52 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1101124 (base 5) to base 11\nAnswer: 13235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, i: 2, w: 4, y: 1, b: 5, o: 1}. Give prob of sequence io.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2921.984 centimeters to kilometers.\nAnswer: 0.02921984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -186.4 + 169. Let j = -17 - i. Which is the closest to -1\/4? (a) 3 (b) -0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5560 * -119584\nAnswer: 664887040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/(-21) + (-4)\/14. Let h be (-65)\/(-210) - l\/(-14)*2. What is the biggest value in h, -0.3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, -4, -5, 167, -1, -0.2374?\nAnswer: -0.2374","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + (sqrt(2057)*-1)**2 + 1) + ((4 + 2*sqrt(2057) - sqrt(2057)*1*-3) + -1)**2.\nAnswer: 330*sqrt(17) + 45272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-2 - 0) + -1 - -12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of a**4\/4 - 3*a**3 - 3*a**2 + 53*a - 212. Let c be t(9). Let u be 2\/(-4) - (-1)\/2. Sort -4, -3, c, u in increasing order.\nAnswer: -4, -3, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 58792 = 10*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z + 3*z + 3*z. Let u(t) = 18 - 18 - 3*t**2 + 5*t**2. Give u(o(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -k**4\/12 - 2*k**3\/9 + 2*k**2\/3 + 8*k\/3 - 734. Factor v(c).\nAnswer: -(c - 2)*(c + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -5*o + 1111. Let x be (10584\/(-686))\/((-9)\/(-84)). Let p = o + x. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23943876.\nAnswer: 2, 3, 11, 19, 9547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 17*i**2 - 18*i + 2. Suppose s - 19 = -1. Let t be o(s). Solve -20 = r - 3*k, k = t*r - 5*r - 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**5\/10 - i**4\/4 + i**3\/3 - i**2\/2 + 28*i + 5. What is k(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-35)\/(525\/(-570))*(394 + 0). Calculate the highest common divisor of f and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2307 - -3669. Let j = -323 + g. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -113*n + 110*n + 1350. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-77)\/264)\/((-140)\/30)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 2617549?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3\/4 (b) 3\/5 (c) 1\/5 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.287 - 0.187. Which is the biggest value? (a) w (b) -1 (c) -0.8 (d) 8\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**3 + 4*f**3 + 2*f**5 - f**3 - 5*f**2 + 9*f**5 + 5*f**2 + (-2*f - 3 + 3)*(-f**2 + f**2 + 2*f**4) + 0*f + 0*f + 2*f**5 + 0*f**5 + 0*f**5 - f**5.\nAnswer: 8*f**5 + f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 153 = -2*b + 1233, 5*b - 2700 = -r. What is the remainder when b is divided by 78?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49 (base 16) to base 10.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 266 and 58976.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 27\/6)\/(22\/88). Solve -4*m + 6 = 20*v - 17*v, -2*m + 4*v = -d for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12298302)\/(-2312118) + 32\/(-6). Which is smaller: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305*j + 22880 = -261*j + 108*j + 106*j for j.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172905 + 56508 = 16083*r - 2678*r - 1001127 for r.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111100011000 (base 2) to base 9.\nAnswer: 5263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37151 is divided by 795.\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -34*d**2 + 7*d - 20. Let i(o) = 216*o**2 - 45*o + 126. Let a(r) = -10*i(r) - 63*n(r). Let s(h) = -6*h**2. Calculate a(s(c)).\nAnswer: -648*c**4 - 54*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 867, 3521, 7969, 14205, 22223, 32017, 43581, 56909?\nAnswer: 71995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**3 + 18*m**2 - 29*m - 7. Let u be z(6). What is the tens digit of -2*u\/(-15)*(41 - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-9) + 2\/6*25. Suppose 4*g = j*g. Suppose g = -7*u + 23 - 471. What is u rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 844?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 6) in base 8?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence va when two letters picked without replacement from vavavvvavavaoaoavv?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - -0.9. Let x(n) = -n**3 + n**2 - n. Suppose -3*b = -0*b. Let s be x(b). What is the second biggest value in 1\/10, t, s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**2 + 3*i**2 + 4*i - 3*i - i.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.24 and -0.3.\nAnswer: 0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 1628 = -1804. Suppose -8*j = -520 - r. Is j a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5 = -2*a - 3, -4*v + 15 = a. Solve -3*b - 6 = -k, 0 = v*k - 3*b - 12 - 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1ee6 (base 15) to base 11.\nAnswer: 5079","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -13 - (-7191)\/(-423).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*d - 92*d - 61*d = 12285 for d.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - b + 47 = -2*b, 603 = 26*x + 3*b + 184 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12\/5? (a) -788 (b) 2\/3 (c) 476\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + v - 12 = 0, -7*v = -3*d - 4*v for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 - 1700?\nAnswer: -1670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 175043969?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/8574 and -151\/24?\nAnswer: 34296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/9706976 and -55\/44664?\nAnswer: 29120928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4704 = 9*b. Let k = 418 - b. Is 276\/11 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -0*y + y + 19, 0 = -3*b - 15. Calculate the remainder when 2 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f. Let w(z) be the first derivative of -z**3 + 30*z + 1729. Determine w(m(l)).\nAnswer: -27*l**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 222233333 (base 4) in base 16?\nAnswer: 2abff","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2228*u**3 - 15*u**2 + 3*u + 2058. Let h(p) = 5*p**2 - p - 1. Let m(k) = 3*h(k) + v(k). What is the derivative of m(g) wrt g?\nAnswer: 6684*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i - 15. Calculate y(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27608 + 27661.876. Let v = 0.124 + j. Let k = v - 39. Sort 0.5, k, -0.4 in descending order.\nAnswer: k, 0.5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xlxddddxdxx. What is prob of picking 1 x and 1 l?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66 + 15*o - 66 to a*o + c and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -16*r + 34. Let m be z(2). Suppose -3*g - m*u - 2 = 0, 5*g + 2*u = u - 8. Let b(k) = k**2 - 6*k + 2*k - 1 + 3*k. Give b(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s + 2*s + 2*s - 1 - 2. Let r = -1 - -3. Let h be o(r). Which is bigger: 1\/13 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 11*u**3 + 9*u**2 + 13*u. Let n(w) = -5*w**3 - 5877360 + 5877360 - 4*w**2 - 6*w. Let v(g) = 7*g + 2. Let m be v(1). Determine m*n(h) + 4*s(h).\nAnswer: -h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3489246 is divided by 5202?\nAnswer: 3906","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.16281672 + -0.05718373. Let y = -2.5 + 2.72. Let r = f + y. What is r rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y + 0*y + 0*y + (y - 2 + 2)*(4 + 1 + 4) - 18*y + 16*y - 14*y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 5*f = -30. Let j = 1 - f. Sort j, 3, -3.\nAnswer: j, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 6. Suppose -17 = z - 3*u - 8, 3 = -z - 3*u. Let i(p) = -7*p - 4. Let v(n) = 4*n + 2. Give g*v(y) + z*i(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -5*m**2 - 3*m - 4. Determine i(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -51219695*s**5 + 71*s - 743.\nAnswer: -1024393900*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.013 - -1.013. What is the nearest to n in -2\/15, 4\/3, 5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*a + 39*a + 198 - 75*a + (5*a - 2*a - 4*a)*(1 + 3 - 5).\nAnswer: 2*a + 198","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8866 is divided by 1308.\nAnswer: 1018","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -478*b**2 + 123*b**2 + 124*b**2 + 121*b**2 + 120*b**2.\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 12*l**2 - 2. Let m(w) = w. Determine a(m(i)).\nAnswer: 24*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence evv when three letters picked without replacement from {v: 3, p: 3, b: 2, f: 1, e: 1, d: 3}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5295 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 12, -3\/5, -3 in descending order.\nAnswer: 12, -3\/5, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 448837 is divided by 382?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - 2*y**2 + 4*y**2)*(-4*y + 2*y + 4*y) + 5*y**3 + 10*y**3 + 6*y**3 + (-3 - 1 + 6)*(3*y**3 - 2*y**3 + y**3) + y**3 + y**3 + 0*y**3.\nAnswer: 33*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 + 3. Let c = f - -31.21. Let g = 0.41 - c. Sort g, 3, 2 in decreasing order.\nAnswer: 3, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 5*s**5\/8 + 103*s**4\/2 - 97*s**3 - 1112*s**2 - 1686*s - 504 = 0.\nAnswer: -84, -2, -2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010010010 - -11?\nAnswer: 1010010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 242267 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 6:45 PM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 72546508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*y = -322 - 143 + 165 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**3 - p. Suppose 4*s - 6*s = -6. Let h be (-2 + (-10)\/(-6))*s. Let m be a(h). Which is greater: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 - 57. Let x(d) = 88*d - 7. Let t be x(r). Suppose -s - t = -p - 6*s, -3*s = 3*p - 267. Calculate the highest common divisor of p and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 79 = -3*i - 14, -29*i + 17*i + 245 = -5*k for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -63209.7509 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 7:42 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 c when four letters picked without replacement from ctctctzcz.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*z + 161 + 259 = -96*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 582635 and 475?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 - 187068*s.\nAnswer: 2*s*(s - 93534)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29630, -59256, -88882, -118508, -148134?\nAnswer: -177760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53 + 419*a + 57 + 63 + 54 - 235 to x*a + u and give x.\nAnswer: 419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 36*p**2 + 101*p + 1192. Is f(-18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3612 divided by -25\nAnswer: 3612\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 768656353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 5*s + 10. Let m(y) = -3*y + 11. Let v be m(5). Let c be r(v). Suppose h = c*h - 10. Calculate the highest common divisor of 3 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 2*i + 5 + 1, -5*x - 5*i + 55 = 0. Suppose -5*y + 8 + x = 0. Suppose 2*m = -y*m. Solve m = -2*f - f - 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 251582185 by -251582185.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12093, 12610, 13481, 14712, 16309?\nAnswer: 18278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.5 - -0.5. Let k = 1 - -2. Suppose -4 = -3*a - k*t + 8, 5*a + 4 = t. What is the third smallest value in a, -4, c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -251 divided by -26385\nAnswer: 251\/26385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 13*a**2 + 8*a + 66. Is w(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33.598*1\nAnswer: 33.598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.3567 + 20.3567. Let d = 0.3 - 0.1. Put -5, n, d, 5 in decreasing order.\nAnswer: n, 5, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-15)\/6)\/((-58)\/116). Which is the nearest to -5\/9? (a) 2 (b) -2\/19 (c) y (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70*x**3 - 45*x wrt x?\nAnswer: -420*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, d: 7}. What is prob of sequence xxd?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -240.223 + 240. Let j = 108.777 - n. Let i = j + -108.99999846. What is i rounded to seven decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9485888141 rounded to 5 dps?\nAnswer: -0.94859","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.2 - 40.2. Let k = p - -38.07. Sort 5, k, -1\/6, 1\/6.\nAnswer: -1\/6, k, 1\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*l - b, 4*l + 0 = -b - 14 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 8*i = 2*a - 2, 5*i + 20 = 5*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*j = -2, -154*v - 9 = -149*v - j. Let h be (-2720)\/(-1440) + (17\/(-9) - v). Factor 1\/2*c**h - 11\/2 - 5*c.\nAnswer: (c - 11)*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 7, 9, -27, -5 in descending order.\nAnswer: 9, 7, 4, -3, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1206 + -1206.2. What is the third smallest value in 1.3, 4, t, -5?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-12)*-15 - 3)*-1. Let r(f) = -4*f + 2. What is r(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-8))\/(16 - 20 - 1745\/(-440))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 10) to base 12.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**3 + 111*u**2 - 62*u + 371. What is o(55)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + sqrt(275) + 5) + 5 + -5.\nAnswer: -15*sqrt(11) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7}. Give prob of sequence xx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52152 (base 6) to base 9.\nAnswer: 10515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hthqhhhhhthtth. What is prob of picking 1 h and 1 q?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13*132\/759*23)\/(4\/8)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -87 + 45. Let z = 25 + n. Let u = z + 43. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1248*o + 10393 = -1850 - 13965 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 8*r**2 - 7*r - 12. Let z be l(9). Suppose 2*b + 8 = z*b. Let f be 2*2\/4*1. Is b != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4395? (a) 40 (b) 0.1 (c) -2\/3 (d) -4 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 601*m + 3255 = 636*m. Calculate the remainder when 25201 is divided by m.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*(-1 + (-39)\/(-15)). Suppose -3*m - 6 = 3*c, 0 = -2*m - 0*m - r. Let k(d) = 1049*d + 2. Let f be k(c). Round f to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + -20. Let j be 17 + (-1)\/q*0. Let r(k) = -16 - 5*k + 29 - j. Give r(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = -5*q + 3*w + 116, -5*q - 5*w + 285 = 0. Is q a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 53367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r - 22. Let d(j) = 3*j + 67. Determine -7*b(v) - 2*d(v).\nAnswer: v + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(-16)*x**(7\/2)*(x\/(x**(-1\/2)*x))\/x*x**(3\/11) assuming x is positive.\nAnswer: x**(223\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 + 2*n + 2. Let x be o(-2). Suppose 3*v - x*v = 0. Suppose 0 = -5*w - v + 5. Which is greater: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -2*j**2 - 6*j + 5. What is the first derivative of v(s) wrt s?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**4 + 2*w**3 - 2*w**3 + (-12 - 2*w**3 + 12 - 2*w)*(-4*w + 4*w - w + (-2 + 2*w + 2)*(28 - 2 - 4)).\nAnswer: -90*w**4 - 86*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*1)\/((-1268)\/(-1585))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**3\/z**9)**(-12\/7) assuming z is positive.\nAnswer: z**(72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 796*q**2 - 42*q + 3. What is the tens digit of u(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3928 and 516160?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -5. Suppose 3*m = 2*m + t. What is the lowest common multiple of m and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*sqrt(117) + 1)**2 + 4 + (-1*(0 + sqrt(117)))**2 + 6*(sqrt(117) + 1 + sqrt(117) + sqrt(117)) + -5.\nAnswer: 66*sqrt(13) + 595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 324*w*x + 55*w - 1 wrt x?\nAnswer: 324*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -88*b - 7315. Determine p(-84).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f + 2*f = -950. What is the smallest common multiple of 5 and f?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 721.\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.03 (b) 3 (c) 65 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2 + 12 = 0, 5*g - 15 = 5*m. Suppose 5*v - 7 = g*n - 2*n, 2*v + 53 = -5*n. Let u(c) = -10*c + 1. What are the prime factors of u(n)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 4*t + 40, -17 = 4*h - 3*t - 48. Suppose 28 = h*l - 4*q, 2*l - 2*q = -2*l + 20. Let s be 5\/5 + 14\/2 - l. Sort -2, 2, s, 4 in descending order.\nAnswer: s, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/3)\/((-5)\/75). Let q = m + 19. Solve s - 1 = 2*f - q, 2 = 3*f + 2*s for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**2 - f**2 - 2*f**2 + 3*f**2 + 0*f**2 - 5*f**2 + (-4 + 4 - f)*(2*f - 1 + 1) + (2*f - 2 + 2)*(-3*f - 2*f + 4*f) + 21*f - 15*f**2 - 21*f.\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 143 - 86. What is the remainder when y is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3649*a + 3426*a - 11062*a)*(1 - 3 + 4) as x + l*a and give l.\nAnswer: -22570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 6*i**3 + 11*i**2 - 11*i + 19. Let v(p) = -p**3 - 2*p**2 + 2*p - 4. Give 2*n(w) + 11*v(w).\nAnswer: w**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6194 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4674950253?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -348*l + 531. Let p be k(1). Calculate the highest common factor of p and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 607175?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/75)\/((-9)\/(-54)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 157*g + 10. Calculate the least common multiple of q(-10) and 120.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1960 and 424879?\nAnswer: 16995160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -61*z**2 + z**3 - z + 61*z**2. Let g(x) = 16*x**5 + 12*x**3 - 4*x**2 - 12*x. Let m(w) = g(w) - 12*t(w). What is the third derivative of m(k) wrt k?\nAnswer: 960*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 7. Let k(w) = -9*w**2 + 0 + 1 + 6*w**2 + w. What is k(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 + 135. Calculate the remainder when 95 is divided by (b\/(-30))\/(1\/(-5)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -2*c + 3\/20*c**5 - 1\/12*c**4 + 0 - 1\/2*c**2 - 1\/6*c**3. Let n(p) = p**2 + 4*p - 1. Let i be n(-4). Give x(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -111*f**6 - f**5 + 1186*f**3 - 15934748*f**2 wrt f.\nAnswer: -13320*f**3 - 60*f**2 + 7116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 1491 = 4619. Let i = l + -273. List the prime factors of i.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 6. Solve -4*q = -2*v + 6, -2*q - 9 = -v + m*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1 (b) 11 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - 7475681.\nAnswer: -7475655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 39*x. What is the tens digit of s(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 187726905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4208 or -4212?\nAnswer: -4208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -3, -5, 1824, 669 in increasing order.\nAnswer: -5, -3, 0, 3, 669, 1824","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 6:21 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 342 and 12794391?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 10 + 3 - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11564295 less than 11564294?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*((sqrt(2800) - (sqrt(2800) - (sqrt(2800) + 2*sqrt(2800) + sqrt(2800) + sqrt(2800) + 0))) + -4) + 5)*4)**2 + 3 + 1.\nAnswer: -163200*sqrt(7) + 10084628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and -1.242?\nAnswer: 1.142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1132164 or 1132163?\nAnswer: 1132164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-16)\/4)\/((-2)\/2). Let i(l) = -l**2 + 6*l - 5. Let f be i(r). Suppose -2*h**f + 0*h - 8*h - 6*h**2 + 0*h**2 - 2*h**2 = 0. Calculate h.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*b + 165*b - 198 - 882. Solve -5*x + 40 = -5*a, -18*x + b = -15*x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b\/(b*b*b\/b**(-2\/3)*b)*b)\/b))**37\/((b*b*b**(1\/2)*b)\/(b*b*b\/(b*b*(b*(b*b**0)\/b*b*b)\/b*b*b)*b)))**(-19) assuming b is positive.\nAnswer: b**(-19057\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - j - 3 = 0, 0 = 39642*r - 39638*r - 3*j - 49 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1145 + -779. Let j = -743 + 504. Let r = u + j. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 56 - 3*k - 83)*(6*k - 3*k - 4*k).\nAnswer: 3*k**2 + 121*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (13*3\/(-3))\/1. Let g = -9 - i. Solve g*p - 10 = 2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 14. Suppose d*s - 2 = 3*s, -5 = f - 4*s. Solve 0*t = -f*t - 15, o + 10 = -2*t for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5790260 is divided by 50350?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*o**2 - 711.\nAnswer: -34*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + (-31)\/((-496)\/6176). Solve -w + 83 = 44*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 (base 12) in base 3?\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from dfdfdd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*c = 170*c + 10 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + a**2 + 2*a + 4. Let b(d) = -d**2 + d - 2. Determine -4*b(u) - 2*k(u).\nAnswer: -2*u**3 + 2*u**2 - 8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 896*l**3 + 894*l**3 - 2713*l**3 + 929*l**3.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/25 and 59\/8699860.\nAnswer: 43499300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 22*q = -20*q + 1, 3*q - 21 = 3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-3))\/(9\/(-81)). Suppose -z + 630 = w*x, -4*x + 630 = -x + 5*z. Suppose -h - 4*h = -x. Is h a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1839 = -65*v + 318*v + 944 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 - 14 = 24*q - 123 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 246492 divided by -1476?\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367742?\nAnswer: 2, 183871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4\/31 + -73\/155. Sort 0.2, q, -46 in ascending order.\nAnswer: -46, q, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**17\/h**11)\/(h**(-6\/7))**(18\/11) assuming h is positive.\nAnswer: h**(570\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -69*d**2 + 11589*d + 47994. Determine v(172).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(91) + sqrt(91)*-3))\/(-6*sqrt(7)*1 - sqrt(7)).\nAnswer: 4*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/(5\/1)*(-46)\/(-115)*(-9)\/2421?\nAnswer: -2\/269","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 2108*f - 34042. What is x(16)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2028, 3153, 3374, 2691?\n\"Answer: -452*k**2 + 2481*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 1, -5, -9 in ascending order.\nAnswer: -9, -5, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4217611589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/4*(((-768)\/30)\/(-8))\/(-22)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u**3 - u**2 - 42*u + 41. Let h be j(1). Solve 5*w + f = -8, 20*w - 17*w + h*f = -2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/20)*p**5)\/(p**(-9\/5)\/((p\/(p\/(p\/(p\/(p**(-5)*p*p)))*p))\/p*p)) assuming p is positive.\nAnswer: p**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -9*u - 2. Let t be n(-1). Let a = -5 + t. Let j be 18\/(-27) - a\/6. Sort 2, j, 1.\nAnswer: j, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (2 + 8 + 1330875\/126)*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 2*y + 1\/12*y**4 + 0 - 2\/3*y**3 - y**2. Let i be t(5). Solve -2*g = -2*c + i*c + 11, -3*g - 4 = -c for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by 3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 100\/21 (c) -3 (d) 0 (e) -2\/5 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a meter in millimeters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9212684?\nAnswer: 2, 13, 177167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 14842760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-38.8147.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -63928 divided by -2?\nAnswer: 31964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -25*g. Let t(y) be the third derivative of -y**5\/30 + 76*y**2. Determine s(t(o)).\nAnswer: 50*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.5, -106869, 1\/3, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 2*c - 6 = 0, -2*y - 414*c = -409*c for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - a = -9, -2*r + 478 - 453 = 3*a for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.909974 - -10.91. What is i rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 18 = p + 3*p, 5*r = p + 4. Let v(m) = -15*m**2 - 7*m. Let h = 125 + -136. Let d(t) = -8*t**2 - 4*t. Determine h*d(w) + p*v(w).\nAnswer: -2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*u - 25. Let w be 6\/(-2)*(-10 + 9). Let q(j) = j**2 + 1 - 2 - 5*j - 1 + w. Calculate q(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*k**3 - 1856*k**2 + 6580*k - 392 = 0.\nAnswer: 2\/33, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, f: 2}. What is prob of picking 1 j and 1 f?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**3\/8 - u**2 + 3*u\/2 = 0.\nAnswer: 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 + 25*y - 23*y - 2*y.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*p**2 + 0 - 1 - 2 + 1.\nAnswer: -93*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -7*a + 476. What is the remainder when t(-123) is divided by 277?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 5*y**3 + 4*y**2 - 3*y - 2. What are the prime factors of x(3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/86688 and 17\/42?\nAnswer: 86688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/24 and -133\/54?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 784570689*n**4 - 120957581 wrt n.\nAnswer: 3138282756*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -71 - ((12 - -1) + -42 + 14).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.5 (b) 0.03 (c) 24\/11 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n*n**(2\/3))*n*n)**(-39)*n**(-1)*(n*n**(-9\/5))\/n*n assuming n is positive.\nAnswer: n**(-74\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 5*o**2 - 4*o - 15. Give y(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13527 is divided by 488?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(891) + 1 + sqrt(891))*1 - sqrt(891)) + ((-2*sqrt(891)*-3)**2 - (-1 + -2*sqrt(891))**2).\nAnswer: -27*sqrt(11) + 28509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1883*l - 164320 = -113479 for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**4)**(-22))**(12\/5))**(5\/8) assuming j is positive.\nAnswer: j**(-132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4601 - 3649. Calculate the least common multiple of 714 and l.\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -381*u**3 + 768*u**3 - 385*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 6499?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/(-147) + 4\/(-6)*3930\/(-140)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2203, -2, 0 in descending order.\nAnswer: 2203, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 11*t**2 - 8*t - 36. Let j be o(10). Let x be 2344\/17 - j\/136. Calculate the highest common factor of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -297 - 3444.\nAnswer: -3741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*x + 3*x + 155 = 0, 0 = -2*g - x + 85. Calculate the smallest common multiple of g and 365.\nAnswer: 2920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 118 - 118.00000181. What is h rounded to seven dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/3)\/(630*(-40)\/(-8640))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2245725?\nAnswer: 3, 5, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 9 and -0.93.\nAnswer: 8.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 1:39 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 52*u - 195. What are the prime factors of p(21)?\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/7304 and 19\/664.\nAnswer: 7304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272)*-4 - sqrt(17) - (sqrt(51)*2)\/sqrt(3).\nAnswer: -19*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 k, and 1 x when four letters picked without replacement from {r: 1, e: 5, k: 3, x: 4}.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11841314.\nAnswer: 2, 5920657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q + 10. Let t be o(-7). Let w(h) = 5*h + 90. Let y be w(-17). Solve 4*n + 6 = -c - c, t*n = y*c - 24 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 10.6. Let a = 0.5 + r. Which is smaller: 0.02 or a?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-3) - 1 - -2. Suppose -4 = -6*c + j*c, 3*u + 3*c - 27 = 0. Calculate the remainder when u is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/243 and 83\/135.\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 33768.47 weeks?\nAnswer: 5673102.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, u: 5}. What is prob of picking 4 u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m = 11*m + 14. Let w(u) = 40*u**m - 5 + 5 + u**2. Let l(k) = -4*k. What is w(l(t))?\nAnswer: 656*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 70 - 70.1. Let u = -0.6 - z. What is the smallest value in 3, -0.2, 0, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f - 36. Let a be y(-9). Is -6\/35 >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -7*h. Let b(n) = -n. Let a(x) = -x**3 - 26*x**2 + 88*x + 12. Let s be a(-29). Let z be s - -1 - -4*4\/8. Determine z*b(f) + u(f).\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 638257.\nAnswer: 787, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*n + 216353 - 28265 = 0. What are the prime factors of n?\nAnswer: 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 27. Suppose k*n - 4*j - 98 = 0, 6*j + 38 = n + 2*j. Is (n\/(-4))\/(57\/(-6878)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-178)\/89*18\/176)\/((-4)\/((-32)\/(-2)))\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**5\/5 - 12*p**4\/5 - 24*p**3\/5 - 16*p**2\/5 = 0. What is p?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 336872074 to the nearest integer?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3*1 - -2)*-3. Let y = -504 + 505. Let m = y + g. Sort -5, m, 0 in increasing order.\nAnswer: -5, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19517, -19530, -19549, -19574, -19605, -19642, -19685?\nAnswer: -19734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3247890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - -2 - -2*1. Let s(k) = -5*k**3 - 2*k**2 + 13*k - 1. Let n(d) = -3*d**3 - d**2 + 7*d - 1. Let w(z) = -7*n(z) + 4*s(z). Is w(v) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1381187 divided by 5.\nAnswer: 1381187\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + x + 9 = 0, -5*k + 0*x = x + 21 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, p: 2, c: 1, h: 1, a: 1}. What is prob of picking 1 s and 1 c?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3186, -3226, -3276, -3336, -3406, -3486, -3576?\nAnswer: -3676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 33 = -3*h, 3*p + 2*h = 8 + 22. What is the greatest common divisor of 66 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 6:04 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llddddddd. Give prob of sequence ll.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 50370 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 122 = -k, 2*k - 251 = 2*x - x. Let j = 59 - k. What are the prime factors of (2\/6)\/((-2)\/j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one tenth of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2\/3 - 1\/3*m + m**2 = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2*i + 18, 4*i = 3*i + 4. Let r = l - 16. What is the least common multiple of 4 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*sqrt(1584))**2 - -1*(sqrt(1584) + 0).\nAnswer: 12*sqrt(11) + 6340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g - 4. Let x be b(-4). Suppose 2*i + 0*t - 22 = 2*t, -3*i = 4*t - x. Calculate the least common multiple of i and 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence imt when three letters picked without replacement from {i: 1, j: 1, t: 2, m: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*d + 85*d + 1976 = -68*v, -d + 83 = -3*v for v.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttttti. Give prob of picking 4 t.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 131*j**2 - 2. Let h be i(131). Which is the closest to -1? (a) 3 (b) h (c) -0.2 (d) -16\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5441677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/((-2016)\/12)*3\/(-1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -1.7, 7474, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 n when four letters picked without replacement from nknnknkkkkkkkk?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*s**3 + 157758*s**2 + 210320*s + 70104.\nAnswer: 2*(s + 8763)*(3*s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 265 + -636. Which is greater: i or -372?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -200.54 - -188.4. Round q to zero dps.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 3*y**2 + 2*y + 2*y**3 + 4*y - 3*y**3 - 2*y**3 = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 + 7*c**2 - 15*c - 37. Let a be j(-2). Solve -18*k = a*k - 5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*f - 2*f - 9*f - 16*f in the form r*f + p and give r.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 411800 to the nearest ten thousand.\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*t**2 + 835*t + 25 - 2509*t + 837*t + 837*t as y*t**2 + u*t + p and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 9*k**2 - k - 4. Let o be v(-9). Solve -b + o = 1 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**4\/2 - 15*c**3 - 6*c**2 + 29*c. Let v(i) = 2*i. Determine s(v(g)).\nAnswer: 24*g - 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + b3b3a?\nAnswer: b3b3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 790 + 778 = 0, 3*j - 2*q - 15 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times -6\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*s - 66 = 0, 0*q + s - 43 = -3*q. What is the remainder when 38 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6263 * 0.2.\nAnswer: -1252.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 19, -1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 7)*((-19)\/(-2) + -5)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.05644 + -0.03942. Round f to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 131609329*u**3 + 72212578 wrt u.\nAnswer: 394827987*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/(-30) + (-7794)\/3780 and -13\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 10 = -3*j. Is 10 a factor of 2*j*(-4)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - ((70 - 76) + 3 + (1 - 0)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 84 = r - 41, x = 5*r + 15. Let q be (-1 + 0)\/((-1)\/(-43)). Let v = 143 + q. What is the highest common factor of v and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2168?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 638 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 5*k + 13. Let b be j(6). Suppose 11*c - b*c + 4 = 0. List the prime factors of (-3)\/(-12)*c - (-145)\/4.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t + 88. Let l be v(22). Suppose -153 = -6*u - 543. Put l, u, -4 in ascending order.\nAnswer: u, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -5\/2*v**2 + v**3 - 2*v + 0 + 1\/6*v**4 - 1\/30*v**5. Let p(i) be the first derivative of h(i). Factor p(x).\nAnswer: -2*(x - 3)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19094 - 19098. Let x = -2 - -2.4. Sort x, 7, j, 5.\nAnswer: j, x, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59957000 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -3*r - 5*c, -2*c + 0 = 4*r + 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-9 - -13)) + 8 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 358 = 29*a - 77. Suppose n = 2*m - 6*m + a, n = -3*m + 12. Calculate the smallest common multiple of -1 - -9 - (-2)\/(-2) and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 24\/5, 35, 6, -0.03, -0.2 in increasing order.\nAnswer: -0.2, -0.03, 3, 4, 24\/5, 6, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8434757cm to nanometers.\nAnswer: 8434757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28\/3? (a) -15.4 (b) 0.4 (c) 4\/7 (d) 1 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {h: 8, q: 5, r: 7}?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*s + 58 - 422 + 4965 = 0 for s.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 6*j**2 + 4*j - 6. Let m be s(6). What are the prime factors of (m\/(-4))\/((-6)\/32)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 504 is divided by 250?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/(-3) + (21 - 1632\/164)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7820497416.\nAnswer: 2, 3, 193, 1688363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 289 + -290. Does 10 divide c\/(1*(-5)\/1420)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**3 + 3*c**3 + 4*c**3 + (-287*c - 78*c - 454*c)*(2*c**2 - 2*c**2 - 2*c**2).\nAnswer: 1641*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 102 - 110. Let w(b) be the second derivative of 0 + 1\/6*b**j + 2*b**2 + b**3 - 6*b. Determine n, given that w(n) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(1 + 20\/(-8)). Let z(k) = -4*k**3 - 4*k**2. Let r be z(h). Let c be (-6)\/(-3) + -2 + 180. Calculate the greatest common factor of r and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 541.221 to the nearest integer.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 924\/5 less than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + a - 50, 2*a - 3044756 = 14*x - 3044648 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*8 + -103 + 98. Let m(f) = 63*f**2 - 126*f + 66. Let d(y) = y**3 - 126*y**2 + 249*y - 131. Let t(c) = h*d(c) + 7*m(c). Factor t(i).\nAnswer: 3*(i - 1)**2*(i + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -5\/7*l**3 - 4*l + 1\/6*l**4 + 0 + 9\/7*l**2 - 1\/70*l**5. Factor t(z).\nAnswer: -2*(z - 3)**2*(z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 2*x - 71 = -3*r, -27 = r + 4*x. Let v = r + 54. What is the remainder when v is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-224)\/560)\/(2\/(-7020)) and 3?\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 9. Let j be a(-5). Solve -j*b = -4*w - 28, 0*b = -b - 3*w - 5 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b2fb + -f1?\nAnswer: b20a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -644493 - 0.5\nAnswer: -644493.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 352826*n + 352837*n + 352831*n - 1058483*n.\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -17*r**4\/12 + r**3\/2 - 6*r**2 - 584. Let k(b) = 2108*b - 187. Determine -374*a(q) - 6*k(q).\nAnswer: 68*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4494 + 12711. List the prime factors of i.\nAnswer: 3, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -36*(-1 + 35\/15). Let o = m + 44. What is the units digit of (4\/(-6))\/(o\/396)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, c: 3}. What is prob of sequence sss?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3*q**5 - 993*q**4 - 42711*q**3 - 158055*q**2 - 116334*q = 0.\nAnswer: -281, -46, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - u = 15 + 4 - 3, 2*c + 5*u = -80 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -431 - -604. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 3 + 9. Suppose r*c - 42 = 3*b, 2*c = 4*c + 3*b - 3. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136 = 24*z + 42 + 326 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 8*c - f + 10961 = 0, f + 14617 = 4*c. Let y be (-29)\/(c\/(-280)) - (-2)\/18. Factor -2\/3*h + 0 - h**2 - y*h**4 + 4*h**3.\nAnswer: -h*(h - 1)**2*(7*h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (56\/(-6))\/(8\/624). Let m = -218 - y. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1003009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -811*m**2*u**3 + 585*m**2*u**2 wrt u.\nAnswer: -4866*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.086 - 4.2?\nAnswer: -4.114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 12*k**3 + 2*k**2 + 2*k. Let q be a(-1). Let d = 9575\/15603 - -4\/743. Find the common denominator of d and (13\/60*-2)\/((-3)\/q).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus 1113.8774?\nAnswer: 1111.8774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 5*l + 6 - 45, -3*l + 9 = -3*x. Solve -l*d + 7*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 896611*i**3 - 472183 wrt i?\nAnswer: 2689833*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**3 - 14*k**2 - k + 26. Calculate j(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 391, -601, -3305, -8579, -17281, -30269?\nAnswer: -48401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 335936603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, -0.1, -0.4, -1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, c: 2, p: 4}. What is prob of picking 1 v and 1 c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*g, 2*g + 0*g - 1340 = -4*m. Suppose 7*f = 4*f + m. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 140, -2\/17, 0.4, 4, 3500 in increasing order.\nAnswer: -2\/17, 0.4, 3, 4, 140, 3500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3549, -3539, -3529, -3519, -3509, -3499?\n\"Answer: 10*k - 3559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*v - 27*v - 31*v.\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - -7. Let f be 4\/(-8)*-2 + y. Let l = f + -25. Let c(u) = -7*u**2 + 6*u. Let p(s) = 6*s**2 - 5*s. Calculate l*p(d) - 5*c(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -20. Let p(r) = 0*r - j*r + 5*r + 150*r**3. Is p(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-20))\/(16\/(-20))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 941259557 to the nearest integer?\nAnswer: 30680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.4861305 kilograms?\nAnswer: 486130.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101000001 (base 2) to base 8.\nAnswer: -501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 58.6? (a) 1 (b) -5 (c) 0 (d) 90\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -676367*n**2 + 607876*n?\nAnswer: -1352734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10619279.34 rounded to the nearest 10000?\nAnswer: -10620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -1*sqrt(7) - (1 + sqrt(700) - sqrt(700)))*-6)**2 - (-3*sqrt(7)*1 - (sqrt(252) + 4 - sqrt(252)))**2.\nAnswer: -240*sqrt(7) + 497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (8 + 1 + (-4 - 2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128725.\nAnswer: 5, 19, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42565 + 62?\nAnswer: -42503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - -29) + -18 + 21 + -27?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 9 = -5. Suppose -u - 4*l + 0 - 1 = 0, 2*l = -2*u + 16. Solve 14 = -f + 4*r, 2*f + r + y*r = u for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-56))\/(2\/(-7)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95614.46 nanograms in micrograms?\nAnswer: 95.61446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 2:07 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -169 - -348. What are the prime factors of b?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -135 - 318. Let o = -45 + w. Is 24 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of x**7\/21 + x**6\/2 - 89*x**5\/20 - 927*x**4\/4 + 1303*x. What is the third derivative of n(j) wrt j?\nAnswer: 120*j**2 + 360*j - 534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -5*y + 26, -2*z - 2 = 2*y - 4*y. Let p = 1 + 4. Calculate the least common multiple of z and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -21983, -50041, -78097, -106151, -134203, -162253?\n\"Answer: v**2 - 28061*v + 6077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 36*i + 303. Let u be p(-29). Solve -26*f = -6*f - u for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83374?\nAnswer: 2, 41687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108077 and 98679.\nAnswer: 2269617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 881 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 40309709 * 0.3\nAnswer: 12092912.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326322?\nAnswer: 2, 3, 6043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000822 to 5 decimal places.\nAnswer: -0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.17 - 9.17. Let k = -9.2 - l. Let z = k - -0.1998. Round z to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -2*q - 1. Let p be (1 - 1) + (-434)\/(-2). Let l = -137 + p. What is the highest common divisor of q and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 7*a + 5. Let z be c(7). Let k(l) = 203*l - 154. What is the remainder when k(1) is divided by 87\/z + (-4)\/10?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1667475, -1667477, -1667477, -1667475, -1667471, -1667465, -1667457?\nAnswer: -1667447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1478*j**5 - 77*j wrt j.\nAnswer: 29560*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -21 + 2*l + 0*l - 5*l - 12 + 0. What is n(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/3, 50, -1, 32\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5649.755 centuries in months?\nAnswer: 6779706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y + 37. Let d(z) = 2*z. Give d(t(u)).\nAnswer: 6*u + 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kg when two letters picked without replacement from {k: 2, g: 1, s: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*f = 42*f + 630. Let a = 128 - f. Solve 0 = 2*r + a - 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4030621 >= 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 863538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 208.9049 + -359.43957. Let t = b - -88.534774. Let k = t - -62. What is k rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1311966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -594445 divided by -6?\nAnswer: 594445\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -0.5, 0.02149, -6\/47?\nAnswer: 0.02149","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23425869 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (208\/24)\/((-312)\/(-1800)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 247 = -4*v - 255, 0 = -195*q + 3*v + 7 - 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -5941719 = -5941826?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - g = o - 11, -2*g - 16 = -3*o. Solve 0 = -2*z + m + o, 4*z = -5*m - 12 - 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4566835 or 4566833?\nAnswer: 4566835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -57772 (base 12) to base 15\nAnswer: -24965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, b: 3}. Give prob of picking 1 b and 1 n.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5652 and 16956?\nAnswer: 16956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 427.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 25 = 6*x - 2*j, 0 = -x - 4*j - 17. What is the smallest value in -1, -21\/5, x?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -650*c**3 + 10*c - 3*c - 7*c + c**2 + 2.\nAnswer: -650*c**3 + c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.4 (b) 1.4 (c) 84\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 11:57 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 162, 170, 212, 306, 470, 722?\n\"Answer: 3*m**3 - m**2 - 10*m + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 58*x - 7632. What is v(63)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48889*d**3 + 24443*d**3 + 24442*d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 - 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52*r**5 - r**4 + 68*r wrt r.\nAnswer: -1040*r**3 - 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1000 and 61800.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**5\/5 + 18*j**4 + 32*j**3\/5 - 262*j**2\/5 + 48*j\/5 + 88\/5 = 0 for j.\nAnswer: -22, -2, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*w + 4. Suppose 3*g - 62 = -w*i, -4*g + 18 + 33 = -i. Does 12 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(1\/28)*t**(-17\/2)*t)\/(t**(2\/49)*t\/(t\/(t*t**(-23)))))**(2\/37) assuming t is positive.\nAnswer: t**(3037\/3626)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.4 + 5.483. Let n = q - 2.163. Round n to 1 decimal place.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -5*t**2 + 300*t - 3520 = 0.\nAnswer: 16, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 8*w**2 - 4*w + 2. Let g(t) = -4*t**2 + 2*t - 1. Let c(r) = -7*g(r) - 4*s(r). Let b be c(2). Let d = b - -19. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 9*q + t = 44, -2*t + 32 = 3*q. Let x = q + -11. Which is the closest to 0.1? (a) 2 (b) 5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 24*s + 15. Let i(y) = -y**3 - 17*y**2 - 29*y - 2. Let b be i(-15). Is 9 a factor of z(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -674 - 675 - 689 + 2742 - 4*b - 685.\nAnswer: -4*b + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**4 - x**4 + 3*x**4 + (-3*x - x**3 + 3*x)*(-1 + 1 - 3*x) + (-60*x - 3880 + 3880)*(2 - 2 - 2*x**3).\nAnswer: 124*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 19*c**2 - 10. Let a(p) = -18*p**2 + 8. Let v(w) = -5*a(w) - 4*i(w). Let k(l) = l - 11. What is v(k(n))?\nAnswer: 14*n**2 - 308*n + 1694","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 262661727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Sort 0.46, -0.2, -3.\nAnswer: -3, -0.2, 0.46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/36 + ((-8)\/(-168))\/((-42)\/(-1127)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (328\/14)\/2 + (-6)\/(-21). Solve -g - 3*m - 13 = 0, 2*m = -3*g + 4*g - t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 10 = 150. Let d be 26\/(-4) + 20\/j. Let i be (20\/6)\/(d\/(-9)). Solve -i*v = -3*t + 15, -2*t - 6 = t + 2*v for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -10. Let a(h) = -3*h + 4 - 7 + h + 1. Let f(b) = 2*b + 3. Determine j*f(x) - 4*a(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from hddhhvvvvvvvdvvd?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + (-832)\/56 - (-24)\/28?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1287 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4*(-3 + -5*(3 + 2*sqrt(304))*-5))**2.\nAnswer: 460800*sqrt(19) + 12242944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -301.11 - 0\nAnswer: -301.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1\/32, 5, 0, -1\/2 in descending order.\nAnswer: 5, 0.5, 1\/32, 0, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 2) + -10 + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*o + 97*b - 100*b, 32*o + 3*b = 12 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 214456 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 4*v**3\/5 - 10076*v**2\/5 + 110248*v\/5 + 260832\/5 = 0.\nAnswer: -2, 13, 2508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 513?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110220212 + -2?\nAnswer: -110220221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -36515, -72817, -109119, -145421, -181723?\n\"Answer: -36302*b - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**2 - 2*o**3 - 2*o**2 + 2 + o**3 - 4*o**2. What are the prime factors of i(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*f - 3\/2 + 5\/4*f**2.\nAnswer: (f + 1)*(5*f - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-1))\/1*-3*(-1)\/((-21)\/1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-33)\/12 + 7\/(-28). Let o be -8 + (t - (-9 - -4)). Is 347\/6 + (-1)\/o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k\/k**(-1\/6))\/k))\/(k\/k**(3\/7)))**(-18\/13) assuming k is positive.\nAnswer: k**(-33\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98143 is divided by 32707?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -16*s**2 - 27*s - 9. Let b(j) = -8*j**2 - 12*j - 4. Let u(r) = -9*b(r) + 4*l(r). Let k(h) = h**2. Give 2*k(p) - u(p).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-18)*432\/576. Let j(r) be the first derivative of 0*r + 3*r**2 + 0*r**3 - 1 + 0*r**4 - n*r**6 + 0*r**5. Find the second derivative of j(i) wrt i.\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -7, -1\/2, 36, 1\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8307*s**5 - 10*s**2 + 858*s?\nAnswer: 498420*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + t**2. Let g(f) = f**2. Let p = -1069 - -1072. What is p*n(b) - 2*g(b)?\nAnswer: -3*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -1. Is y a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 292 - 292.4. Which is the closest to -0.1? (a) -5 (b) 2\/3 (c) -1\/8 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -3*s**2 + 0 - 2\/3*s**3 + 40*s - 1\/12*s**4. Let k be (2*1)\/((-1)\/2). Calculate h(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/2 + 0 + -1 + 162\/(-36)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11 times -0.0723\nAnswer: 0.7953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 10 = 2*r. Let o be 0*-1*r\/4. Let q(m) = -m + 2 + o*m + 2*m. Let z(i) = 6*i + 10. Give -16*q(j) + 3*z(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -225018 by -37503.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 9:00 AM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -11476 divided by 1319?\nAnswer: -11476\/1319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 283 - 282. Which is the closest to z? (a) -0.4 (b) -5\/7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 27*n + 3)*(1 + 3*n + 1 + 0) to the form r*n + x*n**2 + z and give x.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1178985 or 1178983?\nAnswer: 1178983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4092262 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: Does 1869 divide 2733240179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*s - 57*s = 5*m + 161, 0 = m - 3*s + 29. Let q be (-1)\/m*(-19 - -15). Let j = -4.88 + -0.12. Is q bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + ((-1930)\/975)\/(-2). Let g = 83\/1755 + q. Which is smaller: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186037784 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1287*g**2 - 45*g.\nAnswer: 2574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b. Let n be h(7). Let g(i) be the second derivative of -i**3\/3 - 4*i**2 + 7*i. List the prime factors of g(n).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -i + 7. Let s be (-7)\/(-2) - i\/(-18). Solve t = -2*n + 1, -s = n + 4*n - 4*t for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 3. Let b be p - 2 - (-44 + 3)*1. Suppose 0 = -5*g + b + 532. What are the prime factors of g?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -429 divided by 11?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7d + -e19?\nAnswer: -d9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -848*r + 122*r + 346 + 66446 for r.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 244*1*(1 + 0). Let x(u) = -82*u + 92. Let w be x(3). Let m = w + f. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 8) + 5 + -2 - -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggu when three letters picked without replacement from cungccgc?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**4\/j)\/((j*j**(-5\/3)\/j)\/j))**(-41)\/((j**1)**(24\/5))**(-39) assuming j is positive.\nAnswer: j**(-677\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -5, 28, 3, 57 in descending order.\nAnswer: 57, 28, 3, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002049725 to 7 dps.\nAnswer: 0.000205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 673 - 4709\/7. Let a = -0.04 - 1.26. Is c at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.00539*-21948\nAnswer: 118.29972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 7*k + 28. Solve -k = -15*j + 19*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 5*v + 28 = 6*d, -2*d - 8 = 3*v. Let t be d*(1\/2 - -2). Solve -10*h + 5 = -t*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4800453.\nAnswer: 3, 7, 228593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -89 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -1\/15*b**3 - 20 + 3\/5*b - 1\/5*b**2. Factor u(g).\nAnswer: -(g - 1)*(g + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, l: 4, b: 4, x: 1, z: 1}. Give prob of picking 1 l and 1 x.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29701?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -88 + 93. Suppose 235 - 910 = -b*a. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 5*h**2 - 6*h. Let m be o(6). Let c(y) = 17*y**2 + 10 - 7*y**2 - 11*y**2. What is c(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 879 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: Solve -82*r + 66 = -71*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3333 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 7*k - 1. Let o be f(0). Put -3, -7, o in decreasing order.\nAnswer: o, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/5 (b) -54 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/20 - 390\/(-2925). Let b(t) be the first derivative of 7\/10*t**5 + 23 + 13\/8*t**2 - j*t**3 - 1\/2*t**4 - t - 5\/24*t**6. Let b(u) = 0. What is u?\nAnswer: -1, 4\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42.77 - 45.1. Round f to 1 dp.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**2\/7 - 4*a - 26\/7 = 0. Calculate a.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -991276 take away 1.167?\nAnswer: -991277.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-5 + 3 + 3) - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-21*k + 12*k + 8*k)*(6 - 3 - 5)*(-4 + 1 + 1) + 2 - 2 - 5*k + 0 - k + 0)*(-k + k - k + (-k - 4 + 4)*(-4 + 0 + 5)) to b*k**2 + w + l*k and give b.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -12, 1\/4, 23123, 3, -0.15.\nAnswer: -12, -0.15, 0, 1\/4, 3, 23123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*c = -752 + 950 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2600769175 to the power of 1\/5, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260*l + 2253 = 261*l. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 4 + 12 - 27 + 3*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 1. Let q(b) = -b**3 + 5*b**2 + 5*b + 8. Let t(x) = q(x) + 6*u(x). Calculate t(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-84)\/112*8\/(-2). Let j(t) be the second derivative of 1\/6*t**o + 0 - 1\/2*t**4 - 6*t - 3*t**2 - 1\/20*t**5. Determine j(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tptptttppthpttttt. Give prob of picking 3 t.\nAnswer: 33\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2676782 nanoseconds to milliseconds.\nAnswer: 0.0000002676782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -430244 + -5?\nAnswer: -430252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 336\/(-40) + (-32)\/40*-10.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p**(-12)\/p))*p\/(p\/(p*p*p*p\/p**(-3\/11)*p)))\/(p**(-2)*p*p**(4\/3)*p*p) assuming p is positive.\nAnswer: p**(-332\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11108219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -9762, 2, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -163 + 183. Suppose f*j - 10*j + 64000 = 0. What is j rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -3) + -4 + 9 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 138\/(-1))\/1. Let x = -5 - 52. Let n = x - i. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 928 and 223112.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52 + -51.61. Let g = 21.79 - h. Round g to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 737438677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6436 - -6439. Let m(t) be the third derivative of 0 + 0*t**4 + 0*t - t**2 + 1\/30*t**5 + 25\/6*t**n. Find the first derivative of m(p) wrt p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - 21. Let u be (9 - 6)\/(k\/7) - 1. What is the tens digit of u\/110 - 1162\/(-22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3084 or 3081?\nAnswer: 3081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -74.4 - -74.399998272. What is s rounded to seven decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45634.63ug in milligrams?\nAnswer: 45.63463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70072971 by -23357657.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*y = -5*q + 14, -3*y = -2*q - 2. Suppose -q*j - 5*p + 21 = -95, -2*p = -4. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -34\/5, -0.06, 0.2, 2, -0.4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 474226 is divided by 317?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 6. Suppose 4*x - z + 10 = a, 2*x - z = 4*z - 14. Sort -0.5, x, 2.\nAnswer: x, -0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 9*r**2 + 14*r + 3. Let k be g(-7). Solve 0*o + k*l - 20 = -2*o, 5*o = -4*l + 36 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 14*z - 16. Let v be a(-15). Is v at least 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1072 and 4368?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u**(-1)*u)))\/u)**(-1)*u**(-1\/3)\/((((u**(-1\/7)\/u)\/u)\/u*u)\/u*u) assuming u is positive.\nAnswer: u**(59\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*j = -187*j - 3080 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**14\/v)\/(v*v**4)*(v**4)**(16\/7) assuming v is positive.\nAnswer: v**(120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - (-27 - -31)) + 8 + -2?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.24 and -0.71?\nAnswer: 0.1704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*l**4 + 40*l**4 - 23*l**4 + 2*l**4 + 2330*l - 7*l**2 - 2333*l in the form x*l**2 + p*l + z*l**3 + q + y*l**4 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*d + 20*d - 4219 - 1669 = 0 for d.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5057?\nAnswer: 13, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 287 + 73. Suppose 0 = -6*p + 12*p - h. Solve 1 = p*t - 31*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-5))\/((-374)\/(-55)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34*m*n*s + 12*m*n + 2*m - 2*n*s + n + 2*s - 184 with respect to m.\nAnswer: 34*n*s + 12*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b3ca8 (base 14) in base 11?\nAnswer: 1505940","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 128\/6*(125 + -126)*18\/(-8)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 100210 + 501?\nAnswer: 100711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2429773, 2429770, 2429753, 2429716, 2429653, 2429558, 2429425, 2429248?\n\"Answer: -b**3 - b**2 + 7*b + 2429768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 9*u**2 - 15*u + 46. Determine z(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 110167 and -50.\nAnswer: -5508350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -10536544 and 13548.\nAnswer: -10522996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/12 and -41\/2500.\nAnswer: 7500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.508 + 2.608. What is the third smallest value in 0, n, -5, -3\/4, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/4 + 5*j**2\/2 - 203*j\/4 + 147.\nAnswer: (j - 7)*(j - 4)*(j + 21)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 87400 and 260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, 5, 51 in decreasing order.\nAnswer: 51, 5, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5650801?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 0.2 (c) 23\/220 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4*x - x = 10, 0 = -f + x - 6. Let b = 82 - 86. What are the prime factors of 73*b\/(4\/f)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**4 + 2*u**2 - 2*u**2 + (u**3 + 0*u**3 - 2*u**3)*(3*u + 6*u - 2*u) + u**4 + 2 - 2.\nAnswer: -3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*i - 67*i + 11*i to x + m*i and give m.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -1 (b) 0 (c) -5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1131\/(-546)*14*-3*((-5)\/1)\/(-25).\nAnswer: 87\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, q: 1, z: 1, p: 3, n: 4}. Give prob of sequence mp.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/2)\/(l\/(l**(-23\/3)\/l)))\/((l*((l\/(l\/((l\/(l*l*l**2*l))\/l)))\/l)\/l)\/l**(-8\/13)) assuming l is positive.\nAnswer: l**(-451\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l - 3. Let f be (3 + -2)\/(0 - 1). Let y(z) = 8*z + 4. Let n(k) = k. Let j(g) = f*y(g) + 3*n(g). Give -4*d(r) + 3*j(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 13*g + 44. Calculate d(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-94 + 82 - -16) + -51.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4752173 is divided by 1612.\nAnswer: 1609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -187 + 0.8.\nAnswer: -186.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 6 = 5. Let d(k) = -3*k**3 - k**2 + 5*k + 3. Let w(u) = -u**3 + u + 1. What is c*d(n) - 5*w(n)?\nAnswer: 2*n**3 - n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 36 - 2?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15.4 - -16.3. Let h = i - 1.106. Round h to two dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 22*n**5\/5 + n**4\/2 - 39*n**2 - 6. Find the second derivative of k(x) wrt x.\nAnswer: 264*x**2 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -85*m**2 + 942*m + 17920. What is b(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (714\/(-45))\/(-17)*1975\/395\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -j**6\/120 + 13*j**5\/60 + 8*j**4\/3 + 34*j**3\/3 - 2*j**2 - 35. Factor h(l).\nAnswer: -(l - 17)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 11:28 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 417 divide 1220791061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 533 is divided by 39.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 262, 506, 748, 988, 1226, 1462, 1696?\nAnswer: 1928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 42596*k + 1064888. What is z(-25)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 566?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.0058645, 2, 1\/7?\nAnswer: 0.0058645","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -68534, -137058, -205582, -274106, -342630?\n\"Answer: -68524*b - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66869?\nAnswer: 11, 6079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -10*v**5 + 4*v**4 - 4*v**2 + 4*v. Let s(i) = 19*i**5 - 9*i**4 + 8*i**2 - 9*i. Let d(o) = 9*a(o) + 4*s(o). What is the third derivative of d(k) wrt k?\nAnswer: -840*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48 + 3*c**2 + 5 + 2*c - 5*c**2 + (-c + 4*c - c)*(4*c - 4*c + 2*c).\nAnswer: 2*c**2 + 2*c - 43","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4*f)**(-18)*(((f\/(f*f\/(f**3\/f)))\/f)\/f)**(-31) assuming f is positive.\nAnswer: f**(-59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = -4*c - 4. Let z(v) = 17*v**3 + 4*v**2 + 16*v**3 + 6 + 17*v**3 - c*v**3. Give z(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 712651?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 38*j - 1315. Give b(30).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 5*y + 1. What is the remainder when t(-10) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34*h**2*u - 241*h*u**2 - 2246*u**2 - 6 wrt h.\nAnswer: 68*h*u - 241*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 172, 715, 1630, 2917, 4576, 6607?\nAnswer: 9010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - z + 1)*(0*z**2 + 4*z**2 - 2*z**2 + (-6*z + 0*z + 4*z)*(-2 - z + 2) + 6*z - 6*z + 3*z**2 + z**2 + 1 - 1).\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a51 (base 15) to base 14.\nAnswer: -bc2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 27*s**2 + 484*s + 143. Give m(-14).\nAnswer: 1403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + 2 + -80 + 30.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000007823 rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17026369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of z**2 - z**6 + 19*z + 0*z**3 + 2\/5*z**5 + 0*z**4 - 31. What is the second derivative of o(f) wrt f?\nAnswer: -120*f**3 + 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 986 - 1011.844. Let d = f + 24.5. What is d rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*j + 31*j = 53*j + 128. Suppose 0 = -2*c - 4*l + 74, 0 = -5*l + 21 - 1. Calculate the remainder when c is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -133*j**2 - 9*j - 357. Let s(c) = -33*c**2 - 2*c - 89. Let n(k) = -2*o(k) + 9*s(k). Find the first derivative of n(h) wrt h.\nAnswer: -62*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3800169984?\nAnswer: 2, 3, 13, 190313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 315396260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-2 + sqrt(363))**2 + 4 + (sqrt(363) - (3*(sqrt(363) + (sqrt(363)*2 - sqrt(363))))**2) + -4).\nAnswer: -25402 - 66*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 108.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35929?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 90 = -13*x + 16*x. Let c(a) be the first derivative of -a**2 + 14*a - 1. Let f be c(x). Put f, 5, 7, -2 in decreasing order.\nAnswer: 7, 5, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, z: 2, t: 9, b: 3, k: 1, a: 3}. Give prob of picking 1 o, 1 z, 1 b, and 1 a.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*n**6 - 4*n**4 - 77*n**2?\nAnswer: 960*n**3 - 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 703*d - 695*d - 2 - 8 = 10*z, 4*z - 3*d + 12 = -z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(3) + (sqrt(3) - (sqrt(3) - sqrt(363)*1)) + 3 + sqrt(27))**2 + (-6*(sqrt(24)\/sqrt(4) + sqrt(6) - sqrt(6)))\/(2*sqrt(50)) + -5.\nAnswer: 447*sqrt(3)\/5 + 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -80159*k**2 + 557720*k.\nAnswer: -160318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -58*l - 24. Suppose 3*t + 10 = 37. Suppose t*c - 5*c + 28 = 0. Is h(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 460042193.\nAnswer: 13, 19, 1862519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s**2 + 4*s - 13. Let x be k(-8). Suppose -6*w - 1284 = -348. Let c = w - x. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 581743 greater than or equal to 1163485\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21225?\nAnswer: 3, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.6550563 to three decimal places.\nAnswer: -3.655","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 2 = 5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8834068871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**0\/a)*a)**(2\/81)\/(a**(-3)*a**(-6)))\/(a\/a**(-1)*a*a*a\/a**5*(a\/(a**2*a))\/(a*a**2)) assuming a is positive.\nAnswer: a**(380\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 2:37 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**5\/3 + n**4 + n**3\/3 - n**2 - 2*n\/3.\nAnswer: n*(n - 1)*(n + 1)**2*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -542109 + 22117. Let k be q + -6 + 1*-2. What is k rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - j - 9 = 0, 0*j + 24 = -4*w + 4*j for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -6. Suppose 12*x = -21*x + 396. Let m be (x\/(-45))\/(18\/15). What is the closest to 0 in -2, h, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 291906*i - 875756. Give y(3).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*o - 4*p, 0 = 4*o + p - 2*p + 4. Suppose -4089 = -284*i - 2953. Let b(x) = 3 + x + 2 + 0 - 2. Let q(n) = 1. What is i*q(v) + o*b(v)?\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c = -23*i + 20*i - 33, -5*i = -10*c + 11*c + 37 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10821734992.99999644 - -10821734792. Let j = -13826 - -13625. Let s = j - k. Round s to 7 decimal places.\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 * -4.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -119*k - 4161. Let w be p(-35). Factor 2\/13*c**w - 2\/13*c + 2\/13*c**3 + 0 - 2\/13*c**2.\nAnswer: 2*c*(c - 1)*(c + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -301211032233?\nAnswer: 301211032302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9060 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/((sqrt(24)\/sqrt(3))\/sqrt(2)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-27))\/q**(-20))**(-4\/5) assuming q is positive.\nAnswer: q**(-192\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1494 - 1062. Let y = 3888 + -3876. Calculate the least common multiple of z and y.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 8163824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 21222?\nAnswer: 106110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 4*d**2 - 26*d + 105. What is the remainder when 1606 is divided by c(-12)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 362875 - 2171005\/6. Which is smaller: 1041 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d + 11. Let n(y) = -2*y + 1. Let r(o) = j(o) - 4*n(o). Let q(c) = c. Calculate r(q(v)).\nAnswer: 4*v + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/4)\/(4\/72). Let z(y) = -y**2 - 9*y - 4. Let t be z(x). Let l = 8 + -4. Put l, t, -5 in descending order.\nAnswer: l, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2970)\/484 - (-24 + 18)\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81947439 is divided by 3689.\nAnswer: 3682","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 2 = -4*z, -1383*z + 1379*z - 5*x - 7 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/31284 and -65\/32.\nAnswer: 250272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 180 + -101. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/8 + 104\/32. Suppose -b*n + 0*n = -285. Suppose 5*m - n = -0*m + 5*o, 0 = 2*m + o - 53. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-20)*(0 - 5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -4*a + 244, 3*a - 4*l - 189 = -1. Let r be (-14)\/a - 25\/(-4). Let p be ((-1 - 2)\/r)\/((-9)\/(-1260)). Is p less than -70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-28)\/(2*(-2)\/4). Let g = 15 - 33. Let d = g + c. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (1 - 4)) + -11 - 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5664, 11330, 16994, 22656?\nAnswer: 28316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 81 = 5*k, -884823*k + 183 = -884838*k + 3*z for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - v - 1. Let f(j) = -6*j**2 - 5*j - 1. Give -f(z) + 3*q(z).\nAnswer: 3*z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 4:37 AM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5670\/(-180))\/((-95)\/380)?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - -165?\nAnswer: 16b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**4 - 3*c + 1. Let h(j) = 3*j**4 - 4*j + 1. Suppose 0 = 4*b + b + 20. Let n(q) = b*g(q) + 3*h(q). What is the first derivative of n(w) wrt w?\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -83187, -83186, -83185?\n\"Answer: v - 83188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (84\/14)\/((-60)\/91965)*4\/(-6) is divided by 84?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a kilometer in meters?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1524.65466 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -582, -1133, -1692, -2265, -2858, -3477, -4128?\nAnswer: -4817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 - 3*s + 3*s)*(0*s + 0*s - s) - 89 + 2*s**2 + 131*s**3 + 89.\nAnswer: 133*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -13*s**7\/210 + 13*s**4\/8 - 16*s**2. Find the second derivative of p(m) wrt m.\nAnswer: -156*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*k - 11. Let j = 10 - k. Let h(f) = 4*f - 3 + 0 - 6*f. Calculate h(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58099594 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-102)\/(-221) - 20\/(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1020\/336 - 3\/(-21)*-3. Let p = -13\/7 + d. Which is the closest to p? (a) 3 (b) 0.1 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 908?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1150314 (base 6) to base 13\nAnswer: 21a18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 10*i**3 + 9*i + 2. Let h(n) = -29*n**3 - 26*n - 6. Determine -17*f(x) - 6*h(x).\nAnswer: 4*x**3 + 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 - 69 = -12*k - 12*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(1\/11)*u**(-2\/13))\/((u\/(u**5*u))\/(u**(-1\/8)\/u)))**(-2))**(-13) assuming u is positive.\nAnswer: u**(4361\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*l**2 + 1255*l + 260 = 0.\nAnswer: -13, -4\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 4*y**2 + 3. Suppose 4*g = 8*g + 12. Let f be h(g). Let d(c) = -c - 8. Give d(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, t: 1, c: 1, l: 5}. Give prob of sequence lclt.\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (36\/14)\/((-7)\/((-6076)\/186))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 25*g**2 - 26*g + 2. Let v(n) = -n + 12. Let h be v(-14). Let a be o(h). Solve -a*w = 4*z - 12, 0*z + 2*w + 2 = 3*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**4 + 19562*b**3\/7 + 1597388*b**2\/7 - 4497000*b\/7 - 1414800\/7 = 0. Calculate b.\nAnswer: -1310, -90, -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.088 and -0.4.\nAnswer: -0.0352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -6 - 4*x**3 + 2*x**3 + 3*x**3 - 4*x**2 - 2*x**3. What is the remainder when 55 is divided by r(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (3 - -21) - (-9 + 0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 61945020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2122 + 2127. Let u(s) = -s + 2. Let f be u(0). Find the third derivative of -2*r**4 + 15*r**k + 50*r**f + 2*r**4 - 39*r**2 wrt r.\nAnswer: 900*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -784 divided by -8\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/3126807 and 71\/576?\nAnswer: 200115648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u**2. Let f(g) = -g**2 - 9*g. What is d(f(b))?\nAnswer: -3*b**4 - 54*b**3 - 243*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ny when two letters picked without replacement from nynyyyynnyynyyyyny?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*((-129)\/(-310) - (-14)\/(-35)). Which is the smallest value? (a) 4 (b) m (c) -3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -50\/213141 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-646)\/3230)\/(3\/(-80))?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0.109?\nAnswer: -4.891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 times 3.1?\nAnswer: 207.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7}. Give prob of sequence xxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3555 and 158.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 212044, 212056, 212068, 212080, 212092?\n\"Answer: 12*s + 212032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 37.485 * 1419\nAnswer: 53191.215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223301.\nAnswer: 13, 89, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-126)\/3*((-1)\/6)\/1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*w - 6*w = -50, u + 2*w - 46 = 0. Suppose 8 + 12 = 4*j. Suppose -j = 2*s - 17. What is the highest common divisor of u and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-12)*(370\/20 + (29 - 47))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 2:37 PM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 44\/(-36) + 2\/9. Let d = 3 + q. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.4 + -1. Let r(y) = -62*y - 67. Let t be r(-1). Let f(m) = m**3 - 4*m**2 + m + 4. Let q be f(3). Which is the closest to -1? (a) t (b) q (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1042689.6s in hours?\nAnswer: 289.636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1789550447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*106\/(-30) - 18\/(-1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -40. What are the prime factors of y?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -345061 - -12?\nAnswer: -345046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4198015?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 200 - 139. What is the second derivative of 56*w**2 + 21*w + 64*w**2 - 165*w**2 + m*w**2 wrt w?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -97\/3 + 32. Let b = 0.37378 + -0.07378. What is the nearest to 1 in b, -4\/7, y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -106707532?\nAnswer: 106707533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**5\/4 + 33*c**4\/2 - 5757*c**3\/4 - 26091*c**2 - 92880*c = 0 for c.\nAnswer: -48, -12, -5, 0, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: a6a385 (base 13) to base 15\nAnswer: 5228dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 660\/(-8)*2*1. Let c be (6\/v)\/((-2)\/(-20)). Which is smaller: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of 2*d + 0 + 0*d**2 - 1\/6*d**4 - 1\/2*d**3 + 1\/120*d**5. Let m(f) be the second derivative of u(f). What is m(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15\/16 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -6*n - 20 + 12 - n + 2*n. Is w(-17) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003080156325 rounded to seven dps?\nAnswer: 0.0030802","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 261.39 rounded to the nearest ten?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -325 - -938\/3. Suppose 5 = 2*y + 29. Let t = y - u. Is t > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5*f = 49320025, 0 = -4*c - 0*c - 5*f + 98640025. What is c rounded to the nearest one million?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-112*s - s**2 + 130*s - s**2)*(2 + 1 + 0)*(5*s - 3*s - 4*s).\nAnswer: 12*s**3 - 108*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6495 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 902828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3729381, -3729377, -3729371, -3729363, -3729353?\n\"Answer: g**2 + g - 3729383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -5. Let v = -7 + g. Is 171\/(-6)*v\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5814 is divided by 5785.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (2302\/3)\/(34\/51) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.3 - 0.3. Let f = -1.563 + 1.3824. Let d = f + -0.0194. Which is the closest to d? (a) y (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 2*m + 30. Let y = m - -12. Does 7 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-6))\/((-2)\/15). Let u(l) = l - 8. Let k be u(m). Let o = -948 + 948.5. Which is the nearest to k? (a) 0 (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 14*d - 3. Let l be y(-13). Calculate the greatest common divisor of l and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4364, -0.15, 12\/11 in descending order.\nAnswer: 12\/11, -0.15, -4364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 962034 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 + 2*l. Let k be r(-2). Suppose k*c = 3*c. Suppose a - 4 = -c*a. Solve -40 = -5*w - a*z, -3*w - 2*z + 14 = -2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/1134945 and -94\/630525.\nAnswer: 5674725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d**4 - d**4 - 4*d**4)*(-3 + 6 - 2) - 13*d**4 - 31*d + 31*d + 280*d**4 + 888 - 888 to u*d**2 + t + l*d + p*d**4 + c*d**3 and give p.\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d + 2*d - 2*d)*(-3 + 1 + 1)*(-d - 1 + 1) - 2054*d**2 - 2093*d**2 + 3064*d**2 in the form s + g*d + l*d**2 and give l.\nAnswer: -1085","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2446300881 - -0.126\nAnswer: 2446300881.126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/sqrt(2)*6 + sqrt(44))\/(sqrt(16)\/sqrt(4)*-2).\nAnswer: -7*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*l**3 - 9*l**4 + 474*l + l**2 + l**2 - 232*l - 239*l in the form w*l + f*l**2 + n*l**3 + o + d*l**4 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x - 2 + 2*x + 2*x + 6*x**2.\nAnswer: 6*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 52875523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -108*g**4 - 21306*g**3 + 42693*g**2\/4 - 1335*g = 0?\nAnswer: -1780\/9, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-10) + 216\/60?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 7 = -4*l, -215*l - 6 = 4*m - 213*l for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 31*b**2 - 4*b - 194. Give v(0).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 788518048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 6 = -k, 2*b = -k - 2*b - 6. Suppose -k*a = 5 - 13. Calculate the smallest common multiple of 9 and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -563 + 557.87. Let k = w + 0.13. Sort 4, -2\/9, k.\nAnswer: k, -2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = c - 30, 4*l + 3*c = 7*c + 160. Suppose -k - 25 = -l. Which is bigger: k or 29\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 21 + (-19)\/38 + (-9)\/(-2). Let h = -11 - -12. Suppose 24*m = w*m - h. Solve 3*o + r = 11, o + 3*r = m - 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*s*w**2 + 2*s + w**3 - 202*w - 21356 wrt w?\nAnswer: -6*s*w + 3*w**2 - 202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11592\/(-1380)*20\/(-14)*-4?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 915 + -382. Suppose 11*a + b = 5648. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 4*p - 5*w, 3*w + 150 - 115 = 4*p. Let k(z) = -z**3 + 5*z**2 + 5*z + 5. Determine k(p).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 29 = -87. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011101100 (base 2) to base 7.\nAnswer: 2116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 594 = -109*s + 49 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.2846841 plus 20?\nAnswer: 27.2846841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2*s - 5 = 2*v, 2*v = 2*s - 6. Let o = -77 + 72. Sort s, 3, o.\nAnswer: o, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*b**2 - 26*b**2 - b**2 + (-2*b + 4 - 4)*(-b + 4*b - 5*b).\nAnswer: -37*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0*287\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 7156*v - 18. Let t be f(19). Let l = t - 42946. What is l rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261*z - 278*z + 85 = 0. Solve -b - z = -4*h - 4, 4*h + 4*b + 4 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/13 and 59\/4160?\nAnswer: 4160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9195, -18397, -27599, -36801?\nAnswer: -46003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000412453 to six dps.\nAnswer: 0.000412","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 4*f - 72, 26 = -s - 5*f + 28. Let t(n) = -18*n + 5. Let k be t(-6). Let o = -7 + k. What is the remainder when o is divided by s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18941*t - 10936*t + 6249*t - 10253*t.\nAnswer: -33881*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*j - 66, 31*m - 178 + 1 = -4*j. Calculate the remainder when 650 is divided by j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706446 (base 13) in base 2?\nAnswer: 1001111101111011100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/42117 and 86\/4545.\nAnswer: 631755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 8, k: 5}. What is prob of sequence kzk?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 6123*m**2 + 12015*m**2 - 2*m**3 - 5892*m**2.\nAnswer: -2*m**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k + 320. Let a(w) = -w**2 + 71*w - 6. What is n(a(d))?\nAnswer: 3*d**2 - 213*d + 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45004*j**2 - 836537*j**2 + 248306*j**2 - 528711*j**2.\nAnswer: -1161946*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23.8? (a) -2\/19 (b) -5\/4 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - a86b?\nAnswer: -a869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oommcmeomde. Give prob of sequence ee.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**2. Let m(z) be the first derivative of -z**2\/2 - 6. What is k(m(u))?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*n = 15. What is the remainder when 25 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in meters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -2\/29, -878, -0.5?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 3*p**4\/4 + 31*p**3\/3 + 4*p**2 - 20*p + 185. Factor d(h).\nAnswer: (h + 1)*(h + 10)*(3*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -326 - -331. Let h be m\/12*102\/170. Which is bigger: 4 or h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.3, 32, 15\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274 is divided by 70?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -161310*m + 130. Let i be z(23). What is i rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence km when two letters picked without replacement from kbkjmbb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*h + 42*h + 16484 + 8404 = 0 for h.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9111*f + 5 + 9257*f - 5 - 27601*f + 9236*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -6*j + 3*j**3 + 7*j**2 - 6 - j**3 + 3*j**2 - j**3. Let g = 21 + -30. Is n(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -f + k + 3, -5*f + 3*k + 8 = 0. Let g(i) = 5*i**3 + 2*i - 1. Let u be g(f). Suppose -3*r = -5*c + 1 + 5, -2*r - u = -4*c. Solve -3*m = r + 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36311902859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - -2 - (51 + -53)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82080 = -4*o + 3*o - 19*o. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = h + 17, 0*l = -l + 4*h + 24 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2403343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/6)\/(m**2*m))**(-9)*((m*(m\/(m*m**(2\/5)))\/m)\/m)**(-2\/133)*(m\/(m*m*m*m*((m\/(m*m**4\/m)*m)\/m*m*m)\/m*m))\/m**(-5\/4) assuming m is positive.\nAnswer: m**(9413\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 25. Solve 5*a - t = 11 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {k: 2, f: 6}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3 + -8 + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -2.8187971?\nAnswer: 0.84563913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 116964182967346898\/436773 - 267791697214. Let n = -24\/3551 - w. Find the common denominator of 29\/11 and n.\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94 - 12*d**2 - 94.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -8366864497 + -4.7\nAnswer: -8366864501.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -7. What is the highest common factor of 28 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -j + 4, 10*j = 216*y - 217*y - 2*j + 22 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 3:11 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 28*z = 174. Calculate the highest common factor of 18 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33895 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -23*v**3\/6 + 28*v. Let q(w) = w**2. What is q(k(b))?\nAnswer: 529*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11.2 - -5.9. Let n = 9 + -14. Let s = n - o. Which is the nearest to 0.1? (a) s (b) 2\/11 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 2*n - v - 12, -3 = -5*n + 4*v for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168301, -168533, -169169, -170413, -172469, -175541, -179833, -185549?\nAnswer: -192893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -6*(-2*sqrt(2)*-4)**2.\nAnswer: -768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01048844 to five decimal places.\nAnswer: -0.01049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001110110011011001 + -10?\nAnswer: -100001110110011011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -30.9983 + 31. Round y to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -157*b**3 - 60*b**2 - 18*b. Let g(o) = 39*o**3 + 15*o**2 + 4*o. Let v(c) = 9*g(c) + 2*l(c). Find the third derivative of v(d) wrt d.\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - 113. Let t = g + 218. Does 4 divide t\/(-24)*3\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -j - 41, 5*i - 197 = -14*j + 18*j. Solve -9*l + 5*q + 26 = -5*l, 3*l + i = -5*q for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32081700?\nAnswer: 2, 3, 5, 7, 15277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18736 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minus -5991.7416?\nAnswer: 6002.7416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + 9. Suppose -2*k - 3*k = -b. What are the prime factors of 24*(1 - k\/12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/1223 and -3*(-2)\/(240\/(-424)).\nAnswer: 6115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25656 and 1080?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * -5.7768.\nAnswer: -34.6608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5052616 and -1.\nAnswer: 5052616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -w**4\/12 - w**3\/6 - 3*w**2\/2 + 23*w. Let v = 5 - 8. What is q(v)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -508316*t**2 + 7116340*t + 1176.\nAnswer: -4*(t - 14)*(127079*t + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**3 - 35*s**2 - 47*s + 31. Give a(-16).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-4)*6 - -23. Suppose -8 = 4*x - l. Let i(q) = 4*q**x - 5*q**3 + 0 + 3*q + 4 + 3*q**2. Give i(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 12*t**3 - 56*t**2\/3 - 32*t\/3 = 0.\nAnswer: -4\/9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**3 + 3*u**2 - 3*u. Suppose 0 = -5*t + 5*s + 35, -5*t = -t - s - 25. Let g(o) = 9*o**3 + 13*o**2 - 13*o. Calculate t*g(w) - 26*m(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7868080 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 111*y + 632. What is z(-105)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -50.48 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 302 - 301. Let i = -17 + 56. Which is the nearest to -1\/4? (a) i (b) n (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95781372, -95781376, -95781380, -95781384, -95781388, -95781392?\nAnswer: -95781396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -278.3 - -144.5. Let r = 134.529 + f. Round r to two dps.\nAnswer: 0.73","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.9 - 0.9. Suppose -9*y = -5*y. Which is the nearest to y? (a) 5\/4 (b) j (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -452*p**5 - 19*p + 16.\nAnswer: -9040*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43683 - -60626. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176783402 plus -1197?\nAnswer: 176782205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -0.23?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 472 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5 - 16*b + 0*b**2 + 3*b**2 + 15*b + b**3 + 3. Let d be p(-4). What is the closest to 2 in d, -0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(3\/10)\/(n**(2\/25)*n) assuming n is positive.\nAnswer: n**(-39\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7.6 at least 68\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*4\/(-6)*33\/88. Let p(i) = -27*i**3 + i**2 - 1. What is the least common multiple of 9 and p(s)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8179 + 14819. 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 the closest to 0.1 in -1.4, -9179\/2, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/2)\/(1\/10). Let x(s) = -3*s**3 - 5*s - 5. Let t(j) = 4 + 306381*j - 306377*j - 3*j**3 + 5*j**3. Determine z*t(u) - 4*x(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(6612\/464)\/(24\/(-32)).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 699301.\nAnswer: 569, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1200 and 20760?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21911942 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: Put together -5 and 1710.93.\nAnswer: 1705.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49 - 27 + 57)*(11 - 1 - 16)*(-2*k**5 + 5*k - 5*k).\nAnswer: 948*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 68, 135, 202?\n\"Answer: 67*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 13*z**2 + 63*z - 37. Let h(x) = -4*x**2 - 21*x + 12. Let m(d) = -7*h(d) - 2*y(d). Let u be 10\/8*6*(69 - 71). What are the prime factors of m(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27727217.00003 + 27727073. Let j = y + 144. What is j rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-29)\/(b*b**(-11\/3))*(b**(-3))**(-10) assuming b is positive.\nAnswer: b**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.8 - -0.2. Suppose 33 + 10 = -43*k. Put -0.4, k, t in increasing order.\nAnswer: k, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 25*t + 52. Let a be k(-23). What is the second derivative of 16*y - 6*y**2 + 93*y - 26*y**4 + 4*y**5 + a*y**2 wrt y?\nAnswer: 80*y**3 - 312*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - sqrt(136)*1)*4)\/(sqrt(1152)*-1 + sqrt(8) - sqrt(8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1)\/t)\/(t\/t**(-1)))\/((t*(t\/(((t\/(t\/(t**(-4)\/t)))\/t)\/t*t))\/t)\/(t\/(t**(-6\/7)*t)*t))*(t**(2\/5))**3\/(t**(-1\/4)\/t**(-1\/6)) assuming t is positive.\nAnswer: t**(-3301\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*w - 12233 - 9634, 0 = -w - 2*x + 10937. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*g, 3*b + g + 119 = 2*g. Let t = -19 - b. Suppose 0 = -2*j + 7*j - t. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2302 + -2?\nAnswer: 2300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 177002, 177021, 177042, 177065, 177090, 177117?\n\"Answer: h**2 + 16*h + 176985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2.3458 or -1.02?\nAnswer: -1.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 + 1 + -4 + 4\/1. Let h = -1 - 0. What is the nearest to h in 4, 3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 37?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -575 - 526 + 11*m**2 + 1101.\nAnswer: 11*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -8*r**3 + 9*r**2 - 26*r + 20. What is i(3)?\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 10, p: 2, w: 3}. What is prob of picking 1 c and 2 p?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -50798000 rounded to the nearest one hundred thousand?\nAnswer: -50800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h - 121. Let i(o) = -7*o - 1. Give a(i(v)).\nAnswer: -14*v - 123","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/5, -2, 562, -1\/2, -7 in ascending order.\nAnswer: -7, -2, -1\/2, 2\/5, 4, 562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 960358 divided by -4?\nAnswer: -480179\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -6. Let x(o) = -o**2 + o - 1. Let h(z) = z - 1. Let a = -1 + 3. Let p(m) = a*x(m) + l*h(m). Factor p(t).\nAnswer: -2*(t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 12:30 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 490 and 140.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*s + 34*s - 26689 = -27893 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -69 - -129. Let u(a) = 24*a - 1 - 1 + p*a + 4. Is u(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 10*h - 29. Determine o(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 125 = 125 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -14. Let p = 46 + x. Let g = p + -34.000033. Round g to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*b + 34 = -67*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5*x. Let k(q) = -7*q + 9. Let m(a) = 3*a - 4. Let u(t) = -4*k(t) - 9*m(t). Let z(c) = 22*u(c) + 4*v(c). Let f(h) = -3*h. Calculate f(z(i)).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26336 = -16*a - 26256 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -99 + 158. List the prime factors of m.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1481, -1563, -1707, -1919, -2205, -2571, -3023, -3567?\nAnswer: -4209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36*c + 8 - 32*c - 3*c**3 - 1 with respect to c.\nAnswer: -9*c**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -315 - -343. Calculate the remainder when q is divided by 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28098654?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, -58, -2, 2 in ascending order.\nAnswer: -58, -7, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*r + 3*b, 5*b - b + 12 = -2*r. Let p be 3 + 0\/(-3 - -8). Let x = -26 - -30. Solve 5*g - 11 = h, -r*h + p*g - x = 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 372 and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 40 + (-56)\/(-2 - 6). Let x be 448\/10 + 2\/10. Let s = w - x. Solve -s*b + 7 = 3*q, 11 = 4*q + 3*b + 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -49979, -50015, -50113, -50303, -50615?\n\"Answer: -5*q**3 - q**2 + 2*q - 49975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -17 (b) 10.3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4\/17 (b) 2\/13 (c) 2 (d) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*u + 6*u. Let h(r) = 4*r - 4. Let f(d) = -d. Let c(x) = -3*f(x) + h(x). Let s(q) = -8*q + 5. Calculate u*c(n) - 5*s(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-885)\/18)\/(-5) - 4\/(-24). Let q = 13 - f. Suppose 4*g - 15 = -3*h, -4*g - 2*h = -0*h - 10. Solve g = -8*x + q*x + 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (72\/30)\/6*1\/2\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130 - 12?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36256887 to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98484.\nAnswer: 2, 3, 29, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/4 + 12\/(-8). Suppose -2*s - k + m*k + 30 = 0, 2*k + 28 = 2*s. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 36, 101, 202, 345, 536, 781, 1086?\nAnswer: 1457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/29)*l**(-7)\/l*(l*l*l**(2\/11)\/l*l*l*l*l)\/(l*l**4))**(-23\/4) assuming l is positive.\nAnswer: l**(14467\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 414.928, -10 in increasing order.\nAnswer: -10, 0.3, 414.928","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 12. Let z = 25 - 4. Suppose -x - z = -4*d + 3, x = k. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 + 0*c**3 + 5428*c**2 - 5426*c**2 + c)*(5*c**2 - 4*c**2 + 0*c**2) - c**5 + 0*c**5 + 3*c**5.\nAnswer: 3*c**5 + 2*c**4 + c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 3*t**5\/20 + t**2 + 2*t + 3. Let q(r) be the first derivative of c(r). Differentiate q(w) wrt w.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/21)\/((-5)\/(-35)). What is l in y*l**3 - 2\/3*l**4 + 0 + 2\/3*l**2 - 2\/3*l = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2424*o + 103872 - 103872 to h + a*o and give a.\nAnswer: -2424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*v**3*x**3 + 6*v**3 + v**2 + 3*x**5 - 5*x**2 wrt x?\nAnswer: -72*v**3 + 180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (0 + 4 - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7083.\nAnswer: 3, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -190*o**2 + 306*o - 2 + 2216*o**4 + 190*o**2 wrt o?\nAnswer: 26592*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3250*o + 53062 = -3867*o for o.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*r + 104 = 24*r. Put 1, 5, 9, r, -3 in decreasing order.\nAnswer: 9, 5, 1, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 14904 to the nearest 100.\nAnswer: 14900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiillllcllllil. Give prob of picking 2 l and 1 c.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 875*f - 198 = 874*f. Is 73 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10471.\nAnswer: 37, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96500?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 16*r**3 + 6*r**2 - 7*r + 742. Let a(b) = 2*b**3 + b**2 - b - 1. Calculate -7*a(s) + p(s).\nAnswer: 2*s**3 - s**2 + 749","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 270*r - 30 = 274*r, 3*r = -2*k - 11 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyvjvjyvvyyiykvyyy. What is prob of picking 1 j, 2 y, and 1 i?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - j = -0*i + 8, i + 2*j = 14. Solve -4*y + i = 3*r - 8, 5 = -y - 5*r for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -6) + 0 - (18 + 10 + -21)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -984 times -0.11?\nAnswer: 108.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 12:47 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -29*j - 313. Calculate the least common multiple of 26 and q(-19).\nAnswer: 3094","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2570 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/4, 5, -1.1, 2?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4636)\/368562 - (-9383)\/159?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2 = -2*b. Suppose -7*a + 209 = 174. Suppose b*j + 2*v + a = 38, 0 = -5*j - 2*v + 59. Solve -3*y = -2*t + 2*y - 30, -t - j = -2*y for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41171129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67561 - 488.\nAnswer: 67073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 35*c + 10. Suppose 3*p = m - 2*m + 96, -p = -7*m - 32. Calculate the smallest common multiple of p and a(2).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 12:50 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 11 - 53 = 0. Let o = 32 + u. Suppose -5*x + o + 4 = 0. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 51 = 91. Let m = 570 + -265. Suppose 5*y - 1438 = 4*j, -y - v*j + 3*j = -m. Round y to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -5. Let p = -19 - -39. Let k = 35 + p. What is the greatest common divisor of q and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 449, 447, 443, 437, 429?\nAnswer: 419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(104) + 1*((sqrt(104)*2 - sqrt(104)) + sqrt(104)))*-6)\/(-5*(sqrt(8)*2*6 - sqrt(8))*3).\nAnswer: -36*sqrt(13)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 1\/7*b**7 + 0*b**5 + 3\/2*b**3 + 0 + 0*b**6 + 0*b**4 + 5*b + 0*b**2. What is the second derivative of c(t) wrt t?\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233618259?\nAnswer: 3, 7, 37, 300667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112226.\nAnswer: 2, 56113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 15. Let x(t) = -t**3 + 24*t**2 - 22*t + 22. Let q be x(23). What is the units digit of (-160)\/(-75) - b\/q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68182, -272722, -613620, -1090876, -1704490, -2454462, -3340792?\nAnswer: -4363480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*g**3 + 29\/2*g**2 - 1\/4*g**5 - 79\/4*g - 2*g**4 + 15\/2.\nAnswer: -(g - 1)**3*(g + 5)*(g + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 - 16. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-15)\/50*2\/((-2)\/2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 268 = -5*i. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95231, 95213, 95173, 95099, 94979, 94801?\nAnswer: 94553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*y**3 - 137348*y**2 + 627616*y - 313792.\nAnswer: 2*(y - 9806)*(y - 4)*(7*y - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1595*f - 49455 = -54926 + 125096 for f.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {d: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 141014070 to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*f + 13*f - 30 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 0, -27, -2 in ascending order.\nAnswer: -27, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 121592037 a multiple of 1388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 117*((-3)\/33 + (-141)\/(-99)). What is the highest common factor of 9 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h**2. Suppose -2 = 2*d + 2. Calculate the least common multiple of 10 and f(d).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 45. Let u = 57 + c. What are the prime factors of u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*w - 227*w - 90 = 0 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1324, -2 in decreasing order.\nAnswer: 1324, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00438 rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255 + 319 = 2*q. What is the highest common factor of q and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 - -45. Is g a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 0*r**2 + 4\/3*r**3 + 0 + 0*r**4 - 3\/10*r**5 + 6*r. Find the second derivative of k(f) wrt f.\nAnswer: -36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2*v - 16 = 0, -k - 3*v + 2 = 2*v. Suppose k*r = 3*r + 8. What is the third derivative of -58 + 17*s**r + 58 - 12*s**5 wrt s?\nAnswer: -720*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 4*k - 14. Let h = -21.3 + 22.29. Let r = h + 1.01. Which is the nearest to k? (a) -0.4 (b) r (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 888 a factor of 41688048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((4 + sqrt(500) + sqrt(500) + -3)*3 - 4*((sqrt(80)*-2 - sqrt(5)) + -2)))**2.\nAnswer: 2304*sqrt(5) + 46224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from yhthythhtyhtyhtytyy?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 8*g = 4*g - 144. What is the greatest common factor of 48 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1144 = 13512*n - 13564*n for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hu when two letters picked without replacement from xxxsssxuusssxhxxxh.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -610.2, -2\/7, -0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -1234*p - 3978. What is z(-3)?\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + f**2 + 2*f)*(-2*f**3 - f**3 + 0*f**3) - f**5 + 3*f - 3*f + 2*f**5 + f**5 + 2*f**5 + (4*f**4 - 4*f**4 - 2*f**4)*(f - f - 2*f).\nAnswer: 5*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 12. Let v be n(-9). Suppose 5*l + c - 30 = v, 0 = -4*c + 12. Does 12 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -3350.\nAnswer: -670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -2539.10162 to 1 decimal place.\nAnswer: -2539.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*i - 57*i = 5*x + 49*i + 64, 2*i = 5*x - 32 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33477112.\nAnswer: 2, 277, 15107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 79*q - 1234. Give y(16).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*f = -f - 168, 4*f = -8. Let o = 351 + -303. Calculate the highest common factor of o and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/429 and -119\/3592488?\nAnswer: 513725784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w**2 + 185*w - 848. Let h be f(5). Solve -2 = -u + 2*y - 1, -u + 1 = h*y for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 22?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -18 (b) 5 (c) -1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -3092, 4 in decreasing order.\nAnswer: 4, -1, -2, -3092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 + 18*g - 30)*(2 - 2 - 2).\nAnswer: -36*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 26, 103, 246, 467, 778, 1191, 1718?\n\"Answer: 2*p**3 + 21*p**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 13*i**2 + 15*i - 30. Determine h(14).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c - 2. Let l be q(5). Let r(u) = -2 - 1 + l*u + 4. What is the units digit of r(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 400\/(-12)*(-900)\/1875*(-25)\/(-10)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.916428 millimeters to meters.\nAnswer: 0.006916428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + -94 + 1 - -3. List the prime factors of 2 - 1 - (b - (-5 + 13)).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 16. Let r = p + -4. What is the first derivative of -r*j**2 + 0*j**2 + 1 + 3 - 1 wrt j?\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 49*v - 2327. Give d(51).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 3 = -5*r - 60, -3*d = -8*r - 71 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 69856 to the nearest 1000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7aa60 (base 11) to base 2\nAnswer: 11100100101010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -39901737?\nAnswer: 7980347.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -47*m**2 + 4291*m - 25092. Determine s(85).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 12*k**2 + 49*k - 63. Calculate h(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2220 and 140.\nAnswer: 15540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 222979793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 1803*k + 408. Let w(u) = -113*u - 25. Give -2*v(d) - 33*w(d).\nAnswer: 123*d + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 3*j - 6 - 43, 5*w - 5*j + 205 = 0. Let a(u) = u**3 + u**2 - 33*u + 44. Let y be a(0). Let d = w + y. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/6 - (-788)\/12. Let w be 13\/((-39)\/(-3))*0. Suppose w = t - 65 - s. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 623753213?\nAnswer: 41, 2333, 6521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 4\/37589443?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (17 + -7 - (0 + 3 - 4))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccbeecthebcbeec. What is prob of sequence bbt?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/6 and -87\/24378872?\nAnswer: 73136616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-146)\/(-36) - 4)*-20. Let q = -32\/45 - t. What is d in -q*d**2 - 8\/5 - 8\/5*d = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-76)\/(-18) - 4\/18. Let m = 1387\/2 + -697. What is the nearest to -0.1 in q, 1\/7, m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2934*x**2. Let y(h) = 4*h**2 + 24*h. What is y(z(j))?\nAnswer: 34433424*j**4 - 70416*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -442, -1689, -4178, -8329, -14562, -23297?\nAnswer: -34954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 4 + 10*k - 4\/27*k**3 + 4\/9*k**2 + 1\/90*k**5 - 1\/54*k**4. Suppose g(z) = 0. What is z?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + -4 - -4 - -2. Solve -10 = t*b + 3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 140 + -74. Suppose 0 = -l + 3*l - 2*v - q, l + 5*v - 63 = 0. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of t**5\/10 - t**4\/4 + t**3\/3 - t**2\/2 - 4*t. Determine k(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 9*t + 10*t - t**3 - 3 - 9*t - 9*t**2 + 4. Let q be s(-10). Let u be (1 + 0 - q)\/2*-1. Which is greater: -67 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.83 + 11.2035?\nAnswer: 10.3735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4742616 less than 0.05?\nAnswer: -4742615.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 36035, 36032, 36039, 36056, 36083?\n\"Answer: 5*q**2 - 18*q + 36048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**5 + 203*n**4 + 15*n**2 - n + 17124.\nAnswer: 40*n**3 + 2436*n**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 s when two letters picked without replacement from oebebobewsbsbe.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -0.4, -7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1146)\/(-30) + -278 + 241.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3653509 and 3653494 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + r**2 + 1. Let x(g) = 22*g**3 + 2*g**2 + 3*g + 2. What is -2*m(w) + x(w)?\nAnswer: 24*w**3 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 1202?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 - 5 = -4*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 249206\/(-16457)*(-14)\/(-4).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -40*l - 664. Does 3 divide n(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/1188 and 107\/16452.\nAnswer: 542916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-4*2*sqrt(2057).\nAnswer: 176*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 0. Let x(y) = 7*y - 5. Let j be x(-1). Let v be ((-2)\/((-32)\/6))\/(j\/4). What is the second biggest value in z, 3, v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3772.6647 + 3763.6646876. Let h = -9 - t. Round h to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -368\/35 = -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/71778740 - 1120196961159\/2440477160. Let y = r + 459. Is y not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/6*-3*-6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -22041 + 21799 + (105 - 0)\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -501*q + 128246. What is z(256)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 8:23 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2656210 or 2656213?\nAnswer: 2656213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6579 + (-104)\/(10 - 23)?\nAnswer: 7, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4.40183 and 92.\nAnswer: 87.59817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**2 - 23*c - 8. Let a(v) = v**2 - 23*v - 8. Let m(d) = 7*a(d) - 6*u(d). Find the common denominator of m(-5) and 29\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 2*d + 6)*(-3*d - 2*d + 4*d) - 1 + 1 + d**2 + 2*d as w*d + l + v*d**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -25, -28, -31, -34, -37?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j**3 + j**3 - 2*j**3)*(-2 - j + 2) - j**4 + j**4 + 5*j**4 - j**3 - 2*j**4 + j**3 as r*j**2 + g*j + f + w*j**3 + u*j**4 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1524 (base 12) to base 4.\nAnswer: -212230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 + 157. Does 4 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 19, 5.\nAnswer: -1, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30706642 + -6617.\nAnswer: 30700025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 3*l - 18 - 9, r - 15 = -3*l. Let w = r - 7. Let a be 8*1\/2*1. Solve -q + w = 0, 9*q - 28 = -3*s + a*q for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 532\/(-693) + (-16)\/4 + ((-800)\/88)\/(-2).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2 + 3 - 2 - m. Let s be t(0). Solve a + a = -f - 3, -4*a + s = 5*f for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 28\/6 + (-52)\/78. Solve 3*s = 5*f - 2 + 34, -s = g*f + 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121649 - 17303 = 6*c. Does 64 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 0*m = -5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67456893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 2*-5)*(-3)\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 60 = -3*a. Let i be (-4)\/(-5)*a\/6. Solve -12 = x + i*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a gram in milligrams?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3602163172 to the nearest integer?\nAnswer: 60018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9119 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i**12\/i)\/i*i)\/(i*i*i**(-1\/31)))\/(i*i*i**(1\/7)*i)**(-1\/14) assuming i is positive.\nAnswer: i**(15580\/1519)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 4*d**2 + 7286*d + 3642 = 0.\nAnswer: -1821, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -y**6\/15 - 117*y**5\/20 + 225*y**2\/2 - 5*y + 38. What is the first derivative of z(p) wrt p?\nAnswer: -8*p**3 - 351*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**3 + 129*r**2 + 201*r - 1845 = 0. Calculate r.\nAnswer: -41, -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 234.3 * 14.6889\nAnswer: 3441.60927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*r - 71*r = -91*r - 2218 - 6018 for r.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5110 - 97088\/19. Find z, given that -r*z**2 - 72\/19 + 24\/19*z = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2196932 a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21816983?\nAnswer: 439, 49697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -685 in 43, -1, 620?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 17*h + 13*h, 0 = 3*z - 2*h. Let i = 1 - -28. Solve z = -w - 5*t + i, -3*t + 11 = -w - 0*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.01 (b) 0.3 (c) -5 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 455, -251.5, -2\/7 in descending order.\nAnswer: 455, -2\/7, -251.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -231223303?\nAnswer: 231223232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 2. Let y = 1.8 + z. Let g = y + 0.7. Which is the closest to 0? (a) -1 (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*h + 3*h - 21*h)*(1977 - 1977 - 73*h)*(-3 + 6 - 1).\nAnswer: 5694*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 56*u - 29*u - 5*u**2 + 95*u + 103*u - 5*u.\nAnswer: -5*u*(u - 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001110 (base 2) in base 6?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1373673 is divided by 8033?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15306 is divided by 2185?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40\/17*q**2 - 2\/17*q**3 + 8 - 94\/17*q.\nAnswer: -2*(q - 1)*(q + 4)*(q + 17)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 5*m - 21, 28 = 4*b + 4*m. Let -z**5 + 3*z**2 + 806*z**3 - 2*z**5 + 2*z**2 + 9*z**4 - 815*z**3 - 2*z**b = 0. What is z?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, h: 8, g: 3, t: 2}. What is prob of sequence wwhh?\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44812 and 12484096.\nAnswer: 2636","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 3781, -1, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7711583?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194620 is divided by 489?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -470034 (base 11) to base 14\nAnswer: -1561ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1682 = 82*m + 418 - 294 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 19 = 4*u + 15, 6*p = -2*u - 3*u for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**2 - 7*r - 4. Let q be x(-4). Let t = -3 - q. Put t, 0, 4 in descending order.\nAnswer: t, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 560945 and 0.1.\nAnswer: 56094.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -13*o + 10. Suppose -2*d = 6 + 4. Let u be f(d). Let a = u + -63. Solve -l + a = 2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/17 - 25\/153. Suppose -4*u = 3*l + 17, -u - 1 = -5*l - 14. Let k be u + (12\/3 - 3). Which is smaller: k or f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x - 7. Let w(c) = 1. Let h(s) = -1. Let j(f) = -5*h(f) - 4*w(f). Let u be ((0 - -3) + 2)*-1. Calculate u*j(d) - p(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3075451585 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 216 + -219. Let p be 64\/1248*(0 + q). Which is the second smallest value? (a) p (b) -17 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 19*x + 182. Give c(-19).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 24 = 4*y. What is the remainder when 5 is divided by (y\/9)\/(4\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.31, 239, 20?\nAnswer: 239","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -a**5\/20 + 53*a**2 - 18*a - 1. Let k(f) be the first derivative of y(f). Let p(w) = -3*w. Determine p(k(l)).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*y - 10*y - 7*y)*(658 + 70 + 880).\nAnswer: -16080*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/15)\/((h\/h**(-1\/8))\/h)*(h**(2\/21)*h)\/(((h\/(((h\/h**2*h)\/h)\/h*h)*h)\/h)\/h) assuming h is positive.\nAnswer: h**(-137\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -21*v - 159. Let a be m(-8). Let h(r) = 2*r**2 - 15*r - 22. Let p be h(a). Solve 3*k + 2*n + 8 = p*k, 3*k + 4*n - 19 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 5*g**4 - 61060*g**3 + 23224335*g**2 = 0?\nAnswer: 0, 393, 11819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-1\/5)*j*j\/j**(-3)*j\/j**(2\/23)*j\/(j\/(j**(1\/4)*j))*(j\/(j*(j*j**(-3)\/j)\/j)*j)\/(j**(2\/7)\/j)*(j\/(j*j**(1\/2)))**(-31) assuming j is positive.\nAnswer: j**(93951\/3220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 e when two letters picked without replacement from zueeheuzzhuki.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 9*k**2 + 20. Suppose -9*x + 29 = -f - 5*x, 0 = -2*f - 2*x - 8. Let d be p(f). Solve 8*m - 3*m = d for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-3))\/1*-372. Solve 0 = -115*d + y*d - 9 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 19, -1\/4, 2\/11, -3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-4*2\/(-4)). Suppose 5*v - x = 0, 3*x = -g + 15. Let h be v\/((-3 - 0)\/21). Is h >= -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4212688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a**2 + 2*a**2 + 1 - 5*a**3 + 3*a**3 + 6*a + 0*a**3. Let w(i) = 2*i**3 - 6*i**2 - 7*i - 1. Determine 6*s(y) + 5*w(y).\nAnswer: -2*y**3 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65378 divided by -18.\nAnswer: 32689\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4250582 divided by 7?\nAnswer: -607226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 11945 - 4\nAnswer: 11941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-6))\/((-65)\/30420*-130)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -607, 2, 9.\nAnswer: -607, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122\/(-11) + 1589\/17479.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**8*l)\/l*(((l\/(l\/(l\/((l*l**(1\/23))\/l)))*l)\/l)\/l)\/l assuming l is positive.\nAnswer: l**(160\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80553?\nAnswer: 3, 11, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y - 5 - 4 + 9. Let j be (-2 - -8)\/((-7)\/28*4). Let m(p) = -23*p + 1. Determine j*m(q) - 34*k(q).\nAnswer: 2*q - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**4 + h + 1. Let d(c) = -42*c**4 + 52*c**2 + 4*c + 4. Let x(w) = d(w) - 4*o(w). Find the third derivative of x(y) wrt y.\nAnswer: -816*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x**2 + 16*x - 40. Give d(5).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 3*i**2 + 8*i - 10. Let x be l(-5). Suppose x = 2*v + w - 15, -17*v - 5*w - 3 = -20*v. Calculate the highest common factor of 498 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**4\/12 - 7*v**3\/6 - 2*v**2 + 161*v. Give o(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 12*s + 1 + 2 + 29*s - 4. Let a(x) = 40*x. Let z(d) = 3*a(d) - 2*g(d). Let i be z(1). What is the greatest common factor of 16 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/16)\/(-2*(-3)\/20)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 19\/114 + (-51)\/(-18) + 1. Is -7 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5*h - 20 = 0, -3*m - h = 4*h - 20. Solve m*y - 9*y - 4 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**5 + 15*f**4 - 54*f**3 - 60*f**2 + 168*f = 0 for f.\nAnswer: -7, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3 - 245*v**2 - 2875*v + 3125.\nAnswer: -5*(v - 1)*(v + 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2 + (-2678)\/(-10) - 1\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6 + 4 + 9 + 3*m - 3*m - 218*m**4 wrt m.\nAnswer: -872*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 94061*h**4 - 75946?\nAnswer: 376244*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*x = -2 - 2, -2*r - 2*x + 8 = 0. What is the units digit of (-28*(-3)\/(-2))\/(-4 + r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 13900*d + 86 = 13905*d, -2*d + 188 = 4*q for q.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-3) + 4 + -1. What is the nearest to 0 in -0.4, 0.09, p?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4674229\/96 + 48691. Calculate the common denominator of s and 39\/1408.\nAnswer: 4224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39914 + -199572\/5. Put 8\/3, x, 8 in descending order.\nAnswer: 8, 8\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -1 + 178 + -171\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.103 and -1524067.77?\nAnswer: 1524067.667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12 - 3a?\nAnswer: -4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t*t**(2\/15))\/t)\/t)**(-40)\/(t\/t**(1\/4)*t*t\/((t*t\/((t*t\/(t\/(t**(2\/37)\/t)))\/t)*t)\/t)*t) assuming t is positive.\nAnswer: t**(-2725\/444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -9. Suppose -12 = -a*y - y. Solve -10 + 1 = -3*p, 2*w = y*p - 11 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.365687465 - 0.3657. Round b to seven dps.\nAnswer: -0.0000125","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 12, 2*f + 10 = -4*g - 4. Let y(h) = -2. Let c(a) = -a**2 - 5. Let m(z) = g*y(z) + 2*c(z). Let x(d) = 1 - 1 + d. Give x(m(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 4:47 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6*r + 0)*(-89*r**2 + 140*r**2 + 116*r**2) + 3*r**3 + 2*r**3 - 6*r**3 - r**3 + 0 + 0.\nAnswer: 1000*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -45. What is the common denominator of j and (82\/(-4))\/(14\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -3, -5, 3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 + 30. Suppose -9*z = -5*z - w. Solve 0 = 4*t + 3*n - 13, -3*t + n - z = -15 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i + 115 = -125. Let s be 0 + 47\/(-91) + i\/42. Which is the third biggest value? (a) -3\/2 (b) 3 (c) s (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 6 = -2*x. Suppose g + 3*g - 96 = 0. Let f = -15 + g. Calculate the lowest common multiple of f and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.196292 at most -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/5)\/(1\/((-360)\/6))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8630 is divided by 133?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -6 + 6 - -8 - -34.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-28))\/(20\/(-40)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221*o - 3581556 = -287*o. What is the thousands digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 8*n**2 - 4. Let g be w(-8). Let h(b) = 329*b - 2305. Let f be h(7). Is g smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**3 - a**2 - 3*a**2 + 909*a**4 + 0*a**5 + a**5 - 905*a**4 = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 160 and 810352160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/20 - 6\/(-15). Let g(q) = q**3 + 6 + 3*q - 3*q - 4*q + 4*q**2. Let h be g(-5). Which is bigger: i or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**2 + 7*s + 13. Let h be 8\/(-6)*(-45)\/(-6). Let a be w(h). Let k be 13\/((-3124)\/297 + 11). What is the highest common divisor of k and a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4450*j**2 - 1631*j**2 + 932*j**2 + (-4*j + 3*j + 5*j)*(5*j + j - 5*j) to x*j**2 + s*j + c and give x.\nAnswer: -5145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -3978 and 2\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**2. Let j(g) = 101126*g. Give q(j(d)).\nAnswer: 20452935752*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*x = -12. Let j(f) = 3*f - 1. Suppose -t - 3 = -2*t. Let i be j(t). Solve x*u + i = -4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/(-76))\/((-45)\/(-12)*(-1)\/6)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/8)\/(-3)*(-20)\/35. Which is the fourth biggest value? (a) 3\/16 (b) -0.3 (c) m (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*a + 194995 + 409693 = 0. Let o = -15201 + a. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61984214 divided by -1.\nAnswer: -61984214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 9*o**2 + 10*o - 1. Let l be w(-10). Which is the second smallest value? (a) -5 (b) l (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27898\/19 at least -1468?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -85, -125, -165, -205?\nAnswer: -245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 9\/1288?\nAnswer: 9\/1288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 12*p = -15*p - 6, -x = 3*p - 10. Solve -10*w + x*w = 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -10*t - 33. Let q be 0 + (-6)\/72 - (-4)\/t. Let n be (0*3\/9)\/(-1). Sort 0.09, q, n, -0.4 in decreasing order.\nAnswer: 0.09, n, -0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**1)**19*(y\/(y*y**(1\/6)))\/(y*y**(-2\/17)*y))**(-1\/9))**12 assuming y is positive.\nAnswer: y**(-3458\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = -4*u - 15. Calculate the remainder when 5 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21394.6 + -21395. Which is the smallest value? (a) h (b) 0.4 (c) -86\/11 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 207 and 207.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 771*w + 4609. What is the remainder when 91 is divided by b(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oroooooooooroooooo. What is prob of sequence rrro?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*((d*d**40*d)\/d*d)\/d)**17)**(2\/177))**(-8\/7))**(18\/7) assuming d is positive.\nAnswer: d**(-9792\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 - 9976*h**2 + 226 + 2*h + 9974*h**2)*(-5 + 5 - 3*h).\nAnswer: 6*h**3 - 6*h**2 - 615*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f**3 + 4*f**2 - 4*f**2)*(4 + 0 - 2) - f**3 + f**3 + f**3 - 74*f**3 - 53*f**3 + 42*f**3 - 34*f**3 to r*f + z*f**3 + p + b*f**2 and give z.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 96036300523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/7*49\/(-14). Let v = -23 - -11. Let y = t - v. Does 22 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 329, 285, 271, 317, 453, 709, 1115, 1701?\nAnswer: 2497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 576*d**2 - 3568*d + 666. What is a(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1066 - 51163\/48. Let t(g) be the third derivative of -m*g**4 + 1\/6*g**3 - 15*g**2 - 3\/80*g**6 + 0 - 2\/15*g**5 + 0*g. Let t(h) = 0. What is h?\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -3. What is the first derivative of -3*h + 2*h**2 + 3*h + q wrt h?\nAnswer: 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xara when four letters picked without replacement from {w: 3, v: 2, x: 6, f: 1, a: 4, r: 2}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 2:49 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - 11. Let y = o - -18.97. Sort -0.5, 0.4, y in descending order.\nAnswer: 0.4, y, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -2) + 3 - -4 - -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24843 and 9932286.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17469270 and 12150.\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, f: 1, b: 1, n: 2, x: 6}. What is prob of picking 2 n and 1 u?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 2, -1, 1 in ascending order.\nAnswer: -1, 1, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*x + 18*x - 225 - 16*x**2 + 230 as s*x**2 + a*x + i and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/2 - 638*j - 1088685\/2.\nAnswer: (j - 1861)*(j + 585)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(14\/5)*b*b\/(b**1\/b)*b)\/(b**(-26))**(-18\/7))**(4\/7) assuming b is positive.\nAnswer: b**(-9192\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of 0*g**5 - 6*g**2 + 0*g + 1\/60*g**6 - 1\/210*g**7 + 0*g**3 + 0*g**4 + 0. Factor j(c).\nAnswer: -c**3*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31750 = 18*h - 8*h. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -1011001?\nAnswer: 1011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -273022 divided by -136511\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8\/161 + 38\/161. Which is smaller: b or 698?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1204 or 1205?\nAnswer: 1204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/45787 and 43\/341.\nAnswer: 503657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5268684438 and 3842?\nAnswer: 3842","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 353 + -353. Suppose 2*b + s = 4*p - 6, 4*b - 5*p = 0. Solve 0 = h - 2*u + 2, -b*h - 13 = -2*h + u for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 444094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7591 or 7554?\nAnswer: 7554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 10:14 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5d296c (base 15) to base 3\nAnswer: -22101210021210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7.755753 millennia?\nAnswer: 7755.753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tga when three letters picked without replacement from {s: 7, g: 2, a: 5, m: 1, t: 1}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -g**9\/1008 + g**8\/280 - g**7\/280 - 2*g**3\/3 + 2*g**2. Let k(s) be the first derivative of y(s). Find u, given that k(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -j**4\/12 + j**2. Let g(v) = -206041*v + 20*v**2 + 412102*v - 206061*v. Determine l(g(z)).\nAnswer: -40*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - u + 4 - 4 - u + (u + 2*u - u)*(2 - 1 + 0) + 0*u + 0*u + 2*u + 3*u - 5*u + 3*u + 3*u - 4*u + 0*u)*(-510 + 246*u**2 + 510)*(41 + 9*u - 41).\nAnswer: 4428*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 349, 1, 13\/5, -4\/7?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 47 + 3*r**3 - 13)*(-4*r - 4*r**2 + 4*r).\nAnswer: -12*r**5 - 92*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -o**4\/42 + 1520*o**3\/21 - 577600*o**2\/7 - 4735*o. Factor m(u).\nAnswer: -2*(u - 760)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -j**6\/20 + 4*j**5\/15 - j**4\/6 - 2*j**3\/3 - 169*j**2 + 1. Let h(y) = 7*y**3 - 15*y**2 + 5*y + 5. What is 5*c(l) + 4*h(l)?\nAnswer: -2*l**3 + 20*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3087212*b**4 - 4373661*b?\nAnswer: -37046544*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -10*b**5 + 245*b**4 - 1430*b**3 - 305*b**2 + 5880*b - 2700 = 0.\nAnswer: -2, 1\/2, 2, 9, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*s - 11836 = 4924 - 2226 for s.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j - 19. Let o be g(7). Let p = 1241 - 1238. Factor -9\/2*t - 3\/2*t**o - p.\nAnswer: -3*(t + 1)*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 + 14*d - 3. Is 5 a factor of m(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35959 and 13167532.\nAnswer: 144842852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.03, 1, 0.26, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 - -38. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l**2 + 21*l - 2905. Let m(i) = -2*i**2 + 15*i - 1936. Determine -7*m(q) + 5*o(q).\nAnswer: -q**2 - 973","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*o**5 + 11*o**2 + 4*o?\nAnswer: -2400*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 71 - 58 - (-67 - -75 - (-7 + 1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.042 - 11.978. Which is the third biggest value? (a) -1 (b) 2\/7 (c) 4\/7 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**3 - 2*z**2 + z - 6. Let u(r) = -r**2 + 6*r + 74. Let w be u(12). Determine p(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**3 - a**2 + a - 1. Let h(w) = -288*w**3 - 22*w**2 + 22*w - 22. Calculate -4*h(l) + 88*j(l).\nAnswer: 976*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5*d = -130, 2*u = d - 2*d + 37. Suppose 0*l + 2*l - 5*q = u, -3*l - 16 = 2*q. Suppose -2*w = 2*w + 4. Put w, 1, l in increasing order.\nAnswer: l, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5185849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -935 + -23?\nAnswer: -958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*s**6 - 11*s**4 + 3*s**3 + 3955*s**2 wrt s?\nAnswer: -360*s**3 - 264*s + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15648550 is divided by 110201?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 15*p**2 + 9*p + 34. Let n(w) = 2*w**3 - 29*w**2 - 18*w - 67. Let a(k) = 7*m(k) + 4*n(k). Is a(13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 2a4?\nAnswer: -2a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -111\/10. Which is the closest to 1\/4? (a) 5 (b) 0.12 (c) r (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 983 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(9\/4)*y)**(-11\/5)\/(y**(5\/8))**(-5))**(-2) assuming y is positive.\nAnswer: y**(249\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9408923205 + -27?\nAnswer: 9408923178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 l when four letters picked without replacement from plppllllllp.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-5))\/(1\/((-18)\/(-12))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 38*o**2 + 253*o + 60. What is the remainder when q(-29) is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(8)\/(-1*sqrt(4)) - (sqrt(2) + (sqrt(2) + (-1*sqrt(2))**2)*3)) + 2.\nAnswer: -4*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -111110001?\nAnswer: -111101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2139 is divided by 531.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16896*s**2 - 33679*s**2 + 16783*s**2 - 97*s**3.\nAnswer: -97*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -28775679, -57551358, -86327037, -115102716, -143878395?\n\"Answer: -28775679*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -27*d. Let b(o) = 37*o. Give n(b(a)).\nAnswer: -999*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 2190?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6 - (-465)\/80)*-4)\/(-3). Which is the third smallest value? (a) 5 (b) n (c) -37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69184 and 32?\nAnswer: 69184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 95 - 42180?\nAnswer: -420a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(11\/5)\/(z\/(z\/(z*z**(-4\/15)*z))*z)*z\/(z\/(z**15\/z)*z)*z**9 assuming z is positive.\nAnswer: z**(322\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 18 = v, -5*v + 14 = -0*v - l. Suppose 4*n - v*n = -18. Is (-1)\/(6\/22)*n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -8*r**2 + 2*r. Let o = -661 - -659. Let n(p) = 7*p**2 - 3*p. Calculate o*n(w) - 3*t(w).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28109.\nAnswer: 28109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-38)\/114 + (-16)\/6. List the prime factors of x\/(0\/5 + 1\/(-102)).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 8:22 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 4:26 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xtxtxxttxtxtttxtxx. What is prob of sequence ttx?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 330.205 - 330. Let w = v - 0.215. Which is the smallest value? (a) w (b) 3 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.58 - 5059.3?\nAnswer: -5059.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15322, -30636, -45948, -61258, -76566?\nAnswer: -91872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-2\/11)*v*v*v**(-7)*v*(((v**(3\/10)\/v)\/v)\/v)\/v**(1\/2))**(-1\/21) assuming v is positive.\nAnswer: v**(331\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -71305, -285137, -641523, -1140463, -1781957?\n\"Answer: -71277*o**2 - o - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2586953*i. Let p(b) = 2*b. Calculate q(p(u)).\nAnswer: -5173906*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 479.999997319 + -480. What is d rounded to seven dps?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -108, -38, 44, 144, 268, 422?\n\"Answer: g**3 + 63*g - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -183, -180, -177, -174, -171?\n\"Answer: 3*z - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 26, 59, 92, 125, 158?\n\"Answer: 33*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 41.2. Let x = h - 8. Let g = -2 - x. What is g rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**4\/12 - 2*o**3\/3 + o**2\/2 - o. Let g be j(5). Let s(w) = -w**3 + 6*w**2 - w. Give s(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -5*u - 3. Let o = -28 - -32. Let g(i) = o + 0 - 428*i + 3 + 439*i. Let w = 26 - 17. Determine w*a(p) + 4*g(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -59, 1, -2\/7, -0.2, -0.4?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/5))**36*(j**(-11)*j)\/(j*(j\/j**10)\/j) assuming j is positive.\nAnswer: j**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.075604 to 4 decimal places.\nAnswer: 0.0756","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 7*v - y + 14, -2*y + 22 = 4*v. Let n(x) = x**3 - 5*x**2 - 5*x - 3. Let t be n(6). What is the derivative of 6 - 1 + 5*z**t - 3*z**v wrt z?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 588*h**2 + 2*h - 412*h**2 - 290*h**2 to q + i*h**2 + f*h and give i.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -187 - -2079. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 17\/(-78)*-10 + -1. Let u = q + -24\/13. Let t be (-4)\/(-63) + (-4)\/(-18). Which is the closest to u? (a) t (b) -0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 940 divided by 5?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 19 - 1 - s + 8. Let t be i(6). Let x = 7 - 0. Solve -x*d = -2*d + t for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -133 and -4036.81.\nAnswer: -4169.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/7? (a) 42608 (b) 0 (c) -0.26 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**2\/5 + 1936*l\/5 + 468512\/5 = 0. Calculate l.\nAnswer: -484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 3*f**4\/5 + 27*f**3\/5 + 3*f**2\/5 - 243*f\/5 + 42 = 0.\nAnswer: -7, -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/27)\/((-2)\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.477144 milligrams to kilograms.\nAnswer: 0.000005477144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5225*-564.\nAnswer: 294.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 941 + -889. Calculate the remainder when s is divided by 22.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -222 - -241. Suppose c*u = 357 - 53. Solve 5*h + u = h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 176 - 172. Let f(v) be the second derivative of -c*v + 3\/2*v**2 - 1\/3*v**3 + 0. Differentiate f(u) with respect to u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 37. What is the second derivative of 11*f**5 + t*f**2 - 5*f - 24*f**2 wrt f?\nAnswer: 220*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001111000011 + -100110011?\nAnswer: 110001010010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2841 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + (2 - (0 - 0)). Suppose 6*l - l - k = 0. Let m be 20\/28 + 0 - l. Are m and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s + 0*s**3 + 176828*s**2 + 2*s + s**3 - 3*s**3 - 129*s**4 - 176820*s**2 to p*s**4 + q*s**3 + l*s**2 + r + y*s and give p.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 2. Let g = 3 + q. What is the least common multiple of g and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 76, -61, -194, -323, -448, -569?\n\"Answer: 2*b**2 - 143*b + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 8501.5.\nAnswer: -8505.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1189\/14717?\nAnswer: 1189\/14717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (177\/118)\/(4\/((-80)\/2))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 2:43 PM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*y - 2*w, 3*y - 5*y + 4*w = -16. Suppose t + 3*t + 3*z = -14, -t - 4*z - 10 = y. What is the remainder when 70 is divided by (t*2)\/(4\/(-24))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + -1 - (-3 - 0). Let m = f - 2. Solve m = i - 3*l, 0*i + l - 5 = -i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*o - 52, -o + 3*q = -0*o - 8. Suppose -4*g + o = 3*h + h, -5*g = 3*h - 19. What is the second derivative of -5*j**2 + 3*j + 3*j**g - j**2 wrt j?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4879.458 decades in years?\nAnswer: 48794.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -359*v + 1766*v + 3073*v + 1658*v to the form p + b*v and give b.\nAnswer: 6138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*h - 6. Let x = 112 + -110. Suppose -x*u + h = 1. Solve -p = -4*f + u*p - 24, -f + 2*p = 11 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2)*(6*y**3 + 3*y**3 + 0*y**3 + (y + y**2 - y)*(-5 - y + 5) - 3*y**3 + 0*y**3 - 2*y**3) as h + w*y + l*y**3 + r*y**2 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 3*w + 6*w = -23, 2*a + 7 = 3*w for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.047 and -5091 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11, 4, -29, -106, -245?\n\"Answer: -3*f**3 + 5*f**2 - f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 538887*n**2 - 9*n - 10. Let m be l(-3). Suppose 0 = -5*z + 3*q + m, 4*z + 5*q = q + 3880000. Round z to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 c when two letters picked without replacement from vcjgqqecqvcjgq.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - 2*z + 2, -2*z - 108 = s - 102 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 214567517 less than -616.24?\nAnswer: -214568133.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 208750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-4))\/(15\/(-25)). Suppose d = -0 + 4. Suppose -m = m + d. Which is the nearest to -1? (a) 0.4 (b) m (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 89*i**5\/20 + 22*i**3\/3 + 68*i - 58. Let c(m) be the first derivative of r(m). Find the second derivative of c(j) wrt j.\nAnswer: 534*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 12*i - 5. Suppose -5*c + 93*n = 89*n + 41, -3*c + 2*n - 25 = 0. Determine w(c).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 25.3662383 and 241981?\nAnswer: 241955.6337617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3971433707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 613*p - 150*p - 131*p - 173*p - 161*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 37860 and 132510?\nAnswer: 265020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 125*j**2 + 1946*j + 327. What is d(139)?\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9078045 years to millennia.\nAnswer: 0.0009078045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 222345\/109 or 2041?\nAnswer: 222345\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 140, 222, 306, 392?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000632648 to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(4\/6) + (-395)\/5. Let w = 106 + q. Calculate the remainder when (-1 - -4)*(-62)\/(-2) is divided by w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -1) + (3 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-4) + 6 + (3 - -49). Solve t = -42*b - 28 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -11. Let m be y + 1 - (-6 + 7). Let b = m - -50. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + u - 2. Let d(c) = 21*c**2 + 6. Give -d(n) + j(n).\nAnswer: -20*n**2 + n - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32 or -27?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 85989065, 171978132, 257967201, 343956272, 429945345, 515934420, 601923497?\n\"Answer: x**2 + 85989064*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 322\/113 - 2264\/3729. What is the common denominator of -5\/462 and b?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*v = 2 + 2, 2*p + 28 = -4*v. Which is the closest to 0.1? (a) p (b) 5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*i - 12 = 0. What is the common denominator of 2\/i + (-200)\/(-12) and 1\/7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 131977 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = -0*n + 60. What is the greatest common divisor of 25 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1635 or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.04 - -0.14. Let m = -2 - -2. Let t = -0.1 - m. What is the closest to f in 1, t, 4\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 0.3 (c) 60 (d) -5 (e) -2 (f) 1400\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -71 + 22. Let h = 53 + d. Sort 2, -1, 3, h in decreasing order.\nAnswer: h, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 8:15 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 324 + -291. Suppose 0 = 99*z - 98*z - x. Solve g + 13 = -3*m, 4*m + z = -m + 4*g for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -81 - -85. Let s(h) = -5*h**2 + h + 3. Let k(c) = 6*c**2 - c - 4. Determine m*s(z) + 3*k(z).\nAnswer: -2*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -38, -28, -6, 34, 98, 192?\n\"Answer: f**3 + 3*f - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 0 + 6. Suppose -8*z + 30 = -j*z. Calculate the smallest common multiple of z and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/(sqrt(9)*3) + sqrt(21))\/(sqrt(252)*-6 + sqrt(7)).\nAnswer: -4*sqrt(3)\/105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4642\/285 - -36\/95. Let z = 64\/3 - p. Let o = z + -4. Is o > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.8171321mm?\nAnswer: 817.1321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14638)\/(-395226) + (274\/135 - (-4)\/(-6))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1598668101 - -17.\nAnswer: -1598668084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j - 10*j - 650 = -39*j. Solve -23*u = 165 - j for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17671, 17667, 17653, 17623, 17571, 17491, 17377?\nAnswer: 17223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*v + 32*v + 45*v + 13*v to the form g*v + r and give g.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 11710802?\nAnswer: 11710802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -9.9*1.43673\nAnswer: -14.223627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -x - 24. Let r = -45 - x. Suppose 0 = -2*t - k, 2*t - 3*t + r = -5*k. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110000111101001110 (base 2) to base 7.\nAnswer: -1463424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -127*j**4 - 5721*j**2 - 18*j**3 + 5 + 123*j**4 + 5723*j**2 as t*j + v + o*j**4 + r*j**2 + u*j**3 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -590808, -590826, -590862, -590922, -591012, -591138, -591306?\n\"Answer: -d**3 - 3*d**2 - 2*d - 590802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbw when three letters picked without replacement from rbrbwbabbnraab.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 1364?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -58259 - -58545.41. Let d = s + -288.1057. Let z = -1.7 - d. Round z to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 9. Let d be n - ((-18)\/3 - -3). Is (-2)\/(-3)*261\/d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -s**4\/24 + 34*s**3\/3 - 2*s**2 + 46*s. Let a be h(13). What is the highest common divisor of 66 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 10434863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h - 10. Let q be g(-4). Let n(x) = 6*x**q - 2*x**2 - 3*x**2 - 5 - 7*x + 0*x**2. Give n(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 683173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 3*x + 6. Let c be g(5). Is c\/6*2226\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -123 - -135. What is the smallest common multiple of h and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 587, 4, -0.18, 5?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 c when three letters picked without replacement from ccrqrcqicicqiccrrci.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 141566003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-95031)\/(-54) - 3\/(-18). Suppose -z + b = 5*k, -9*z - 1780 = -5*k - 14*z. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 9*w**2 + 11*w - 6. Let i be j(10). Let u be ((-4)\/i - -2) + 3. What is the common denominator of (2 - 262\/u)\/(-3) and 97\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-8))\/((66\/(-36))\/(-11))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 33 times -0.059\nAnswer: -1.947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*z - 2. Is (-1672 - z)*(-11)\/33 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 550852680 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -3*q**7\/140 + 2*q**4\/3 + 7*q**3\/3 + 13*q. Let a(z) be the second derivative of p(z). Differentiate a(r) with respect to r.\nAnswer: -54*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 12:52 PM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 681 is divided by 92.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 7. Suppose -2*x = x - 15. Solve -4 = -x*t + s for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**4 - b**3 + b**2 - b - 1. Let d(f) = f**5 - 5*f**4 - 7*f**3 + 5*f**2 - 4*f - 5. Let c(u) = 2*d(u) - 10*p(u). What is l in c(l) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 13*h + 7. What is the units digit of y(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*v = -5*b - 5, 3*b - 1 = -v. Let w = 5 - -59. Suppose 5*q = -u - b*u + 48, 3*u = q + w. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 9. What is the third derivative of 81*f**x + 19*f**2 - f**2 - 64*f**4 wrt f?\nAnswer: -1536*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11736*-5.\nAnswer: 58680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8041, 8049, 8057?\n\"Answer: 8*k + 8033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -90*s*z**3 - 390407*s*z + 5275*z**3 + 5985*z**2 - 4*z wrt s?\nAnswer: -90*z**3 - 390407*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2.2, 1\/7, 2, 6, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - r + 3*w - 11 = 0, -3*w = -5*r - 20 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.0234 rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, i: 19}. What is prob of sequence iiii?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -48, -223, -514, -921, -1444, -2083?\n\"Answer: -58*w**2 - w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1488*g**3 - 2986*g**3 + 1497*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 109676791 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v. Let o(l) = -3*l + 3. Let f(x) = 29*x - 157. Let k be f(10). Suppose 124*b = k*b + 9. Give b*o(z) + 2*y(z).\nAnswer: z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1767 > -1767?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -386.83 - 5\nAnswer: -391.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2, -3*j = -4*h + 6*h + 24. Let d(w) = -3. Suppose 5*r - 13 = 2. Let o(m) = 3*m - 9. Determine h*d(b) + r*o(b).\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 20 = 2*q, -q + 5*q = -3*z - 7. Let d(j) = 21 + j - j**2 + 1 + 4*j**2 - 2*j**2 - j**z. Calculate the smallest common multiple of d(0) and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + 3*i + 51. Suppose -2*g + 19 = -i. Let a = 18 + -9. What is the highest common divisor of g and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, a: 12}. Give prob of picking 3 c.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of f**7\/2625 - 2*f**6\/375 + f**5\/375 + 4*f**4\/15 - f**3 - 155*f**2 + 1. Solve w(m) = 0.\nAnswer: -3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -v**3\/2 - 4842*v. Let r = -1 - -4. Let y(n) = 3*n - 5*n - r*n. Calculate y(h(w)).\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8869 - -150775\/17. Let r(l) = l**2 - 6*l + 2. Let h be r(5). Sort c, 2\/3, h, 1 in decreasing order.\nAnswer: 1, 2\/3, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -1 + 1 + 1. Let j(c) = -3*c**2 + 72*c + 10. Let h be j(24). Let k = 12 - h. Let r(o) = o + 1. What is k*l(a) - r(a)?\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 93*t + 287. Calculate d(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 1 - 13. Let r be y + 29 + 0 + -2. What is the greatest common factor of r and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4798 + 4842. Let s = -2.8 - -3. Which is smaller: w or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.97285 decades to millennia.\nAnswer: 0.0797285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -7. Suppose 2*f + y = 0, x - 5 = f + 3*y. Suppose -2*p - f = -3*p. Is -1 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10041191, -10041186, -10041179, -10041170, -10041159, -10041146?\nAnswer: -10041131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q*q\/(q\/q**(-3\/4)))\/q))\/(q\/q**(-14\/5)) assuming q is positive.\nAnswer: q**(-41\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 11:39 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 0.508.\nAnswer: 0.608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 4 + 0\/65.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from weleewehehe. What is prob of picking 1 e and 3 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 108, 123, 174, 261, 384, 543, 738?\nAnswer: 969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 187 and 300001203.\nAnswer: 300001390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -3850.\nAnswer: -1925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 15*t**2 - 19*t + 218. Let l(s) = -77*s**2 + 97*s - 1090. Let o(c) = 2*l(c) + 11*r(c). What is the derivative of o(i) wrt i?\nAnswer: 22*i - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303099239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(24)\/(sqrt(12) + 4*sqrt(12) + sqrt(12)) - (-5 + sqrt(4)\/sqrt(2))**2).\nAnswer: -61*sqrt(2)\/2 + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*a**3 + 1835693693 - 1835693693.\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 874780.4 millilitres to litres.\nAnswer: 874.7804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174549 is divided by 1156?\nAnswer: 1149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 344 - 236. Does 18 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2075489 (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 25 = 18. Let o = f - -12. Solve -20 + 0 = -o*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79589.\nAnswer: 79589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -7557*h + 7560*h + 18, -2*c = 5*h + 23 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**2. Let f(z) = z**2 - 13. What is y(f(t))?\nAnswer: 3*t**4 - 78*t**2 + 507","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(-4*p + 21*p + 4*p)*(2*p - 2*p - p).\nAnswer: 42*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177661?\nAnswer: 11, 31, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52 - (-1770)\/(-30)) + 118\/18?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -401458 = -25*p + 747942. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -327 + 177. Let v = 258 + s. What are the prime factors of 5\/(-5 - (-543)\/v)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12054034*b + 12053833*b - 21306 = 0 for b.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 21586 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 4*u. Suppose -12 = x - 5*x. Suppose 0 = -3*y + i + 11, -x*y + 3*i = -i - 26. Let j(c) = c + y*c - 4*c. Give j(r(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -141 + 224. Let q(k) = 2*k**2 + 8*k + 5. Let p = -5 - 1. What is the remainder when t is divided by q(p)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 1:53 PM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 16 - 19 - q - 29*q**3 + 3*q**2 + 30*q**3 - 4*q**2. Let m be -1 + (2*-1)\/(-2). What is a(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4373*t**3 - 10*t**2 + 961147*t.\nAnswer: 26238*t - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/1*6\/(-24)*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k + 19*k - 7*k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of s**6\/45 + 10*s**5 + 7399*s**4\/6 - 45602*s**3\/9 - 570*s. Find a, given that o(a) = 0.\nAnswer: -151, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 - -34. Let z = -5 + g. Suppose -21 = -z*b - 1. What is the least common multiple of b and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -328595*g**2 - 328599*g**2 + 657205*g**2 + 5.\nAnswer: 11*g**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (14 - 5) - (29 - 12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23052278 or 23052264?\nAnswer: 23052264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3390 divided by -339\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -2 (b) -370 (c) 1 (d) -0.65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2007363129.\nAnswer: 3, 19, 1129, 31193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -s**5\/60 - 2*s**3\/3 + 9*s**2. Let k(m) = -m**2 - 3. Determine -5*h(v) + 6*k(v).\nAnswer: -v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 19 = -4*h, -4*t + 2*t = -3*h + 6. Suppose 2*p - 6 = 3*a, -62*a + 67*a + 4*p + 32 = 0. Put t, 1, 9, a in increasing order.\nAnswer: a, 1, t, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1, 0.1, -0.04, -3.\nAnswer: -7, -3, -0.04, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -232.3 or -2\/99635?\nAnswer: -232.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f**2 - 8*f + 17. Let x(p) = -5*p**2 + 15*p - 34. Let d(h) = 11*i(h) + 6*x(h). Let j be d(-3). Solve s + j - 5 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 162 - 162. Let w be 2\/(-1) + 32\/14. Which is the third biggest value? (a) v (b) w (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 110729, -13\/6?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 602*k**3*u*x**2 - 4*k**3*x + 627*k*x**2 + 2*u*x**2 wrt u?\nAnswer: 602*k**3*x**2 + 2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1150 is divided by 567.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -12.8 + -57058798404\nAnswer: -57058798416.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 12*n**4 + 147*n**3 + 468*n**2 + 108*n = 0.\nAnswer: -6, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 2:28 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9 - -5)\/(2 - (1 - -3)). Suppose t + t + 13 = n, -3*n + y*t = -27. Suppose -10 = -n*v + 11. Solve -l - 8 = -i - i, 4*l + v*i = 23 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/4050 and 53\/101250.\nAnswer: 101250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76577 and 157350?\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-98 - -89 - (-1 - 20)) - -76?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -87 - -1db3?\nAnswer: 1d2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 b, and 1 f when three letters picked without replacement from baff?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(2 + 1\/2). Suppose -2*r = 8, n = -4*r + 10 + g. Is n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -3*u + 351 + 288, 2*u + 442 = -2*s. Which is the nearest to 0.1? (a) 5\/4 (b) 0 (c) s (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 128*x**2 - 250*x - 10. Give p(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18782?\nAnswer: 2, 9391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/13 - 4*v**2 + 54*v\/13.\nAnswer: -2*v*(v - 1)*(v + 27)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7*v + 33. Let o be g(-4). Suppose l - 2 = -l - o*x, 0 = 3*x. Solve -d - l = -0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + (sqrt(104) - 5*-1*sqrt(104)) + sqrt(104))\/sqrt(8) - (-3 + 2*(sqrt(13) - sqrt(65)\/sqrt(5))).\nAnswer: 3 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 30 = 5*r - 0*r, 0 = -3*f - 15. Let h be 6\/r + 0 + 1. Let d = -7.9 - -8. Which is the closest to 1? (a) d (b) h (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128\/7 + 32*j + 2\/7*j**4 + 26\/7*j**3 + 120\/7*j**2 = 0. What is j?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/28*4*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 77\/22*44\/(-1463)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 7*o - 2. Let v(u) = -u - 1. Let y(a) = -d(a) + 4*v(a). Let p(f) = f**2. Give y(p(k)).\nAnswer: -11*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 4*q - 2 = -n, 0 = -2*n + 3*q - 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 6:15 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-7))\/m**(-3\/7)*m**(1\/6)*m\/(m*m**(-4\/7)\/m) assuming m is positive.\nAnswer: m**(61\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/23992 and 12\/32989.\nAnswer: 263912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 188 - 93. Suppose 4*a - 4*n - 72 = 0, 0 = -5*a - 0*a + 4*n + k. Calculate the remainder when a is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 11:53 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/5)\/((-2)\/10). Suppose b*o = 7*o - 104. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44602998 divided by 22.\nAnswer: 2027409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f - 16*f + 5*f = 0. Solve 0 = -2*w - f + 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71610344 to the power of 1\/3, to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.39 - -2. Let x = 7.21 + -7.1. Let a = w - x. Sort -4, 6, 1\/3, a in descending order.\nAnswer: 6, a, 1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2. Suppose 2*q = 49 + 9. Let o(n) = 2382 + q*n**2 - 2382. What is o(y(f))?\nAnswer: 29*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61 + 160. Suppose 27 - r = -4*g. Let h = g - 15. What is the smallest common multiple of h and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4409, -8471, -12545, -16637, -20753, -24899, -29081?\n\"Answer: -s**3 - 4055*s - 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3836, -15434, -34780, -61862, -96668, -139186?\nAnswer: -189404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 793.328 rounded to the nearest 10?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63292999153\/423379258 + -72\/352229. Let v = x + -3\/601. Let c = v - -153. Which is bigger: 3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -299520 divided by 768.\nAnswer: -390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 69*n - 683. Let o be i(-57). Solve 5*h = -3*a - 3, -2*h - o = -2*a + 3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3815 - -3815. Solve q = 10*n - 20 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2513*x + 2495*x + 144 = 0 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 4*a = 5*s - 51, -3*s - 3*a = -36. Calculate the lowest common multiple of s and 15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-101*j - 282*j + 383*j + 18341*j**3)*((-3 + 1 + 4)*(5 - 5 - 3*j) + 2*j - j + 0*j).\nAnswer: -91705*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 11:46 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*u**2 + 5*u**2 + 3*u**4 + 10*u**4 + 2*u**4 + 0*u**4 + (-1 + 1 - u)*(u**3 + 2 - 2).\nAnswer: 14*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 18 = -5*g. Let l(p) be the first derivative of 1\/10*p**5 + p**2 + 1\/2*p + g + p**3 + 1\/2*p**4. Find t, given that l(t) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9859 + 10068. What is the highest common factor of p and 451?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -526 + 529. Suppose -5*v + 4083 = 2*s, -5*v + 0*s + 4082 = w*s. What are the prime factors of v?\nAnswer: 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.8, -131, 5, -904 in ascending order.\nAnswer: -904, -131, 0.8, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h + 2*g = 14, -4*g = h - 10. Put h, 0, -710, 4 in descending order.\nAnswer: 4, 0, h, -710","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -f**4\/4 - 2*f**3 + 3*f**2 - 8*f + 8. Let w be u(-7). Is (w\/(-3))\/(14\/1302) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1162.666 + -51.\nAnswer: 1111.666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p + 3*p**4 - p**4 + 4 - 3 + p**3 + 0*p as q*p**2 + k + w*p**3 + g*p + h*p**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ynnyvynfyvw. Give prob of sequence nyy.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -214.68 - -214. Round p to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*d - 7*d - 7. Let a(y) = y + 1. Let c be a(d). Solve 0*k = 4*n + c*k + 26, -2*n = 3*k + 23 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2*u + 4*u = 0. Suppose -f + 12*f - 2420 = u. Calculate the highest common factor of f and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 3*k**2 + 4*k. Let z be h(4). Suppose 3*f + 5*b + 2220 = z, 0*f + 2*f + 2*b = -1476. Let n be (-1)\/(-4) - f\/(-540). Is -2 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2252261 (base 7) in base 14?\nAnswer: -74968","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -y**6\/80 + y**5\/40 + y**4\/8 + 4*y**2. Solve b(u) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -14*x - 103. Let i(r) = 5*r + 35. What is 6*d(w) + 17*i(w)?\nAnswer: w - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0116218 to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 12:16 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 9*x**3 - 254*x**2 + 14*x - 83. What are the prime factors of m(29)?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**5\/3 - 7*x**4 + 55*x**3\/3 + 159*x**2 + 700*x\/3 + 100 = 0.\nAnswer: -2, -1, 10, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-2 + sqrt(288))**2 - sqrt(192)\/(sqrt(24) + sqrt(6))) + -4.\nAnswer: -740*sqrt(2)\/3 + 1456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - -1 - (9 - 12). Let q be (0 + w\/(-3))*3. Sort q, 7\/8, -4 in ascending order.\nAnswer: -4, q, 7\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41.7 + 41.70179. Round v to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 6, -1\/4, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3536 and 29614?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 484 = 33*i - 110 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10570061, -10570063, -10570065, -10570067, -10570069, -10570071?\nAnswer: -10570073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1415908321 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 308 and 440?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2*(7 + -7). Let p(h) = 3*h + 43. Let v(l) = -l. Let k(n) = p(n) + 6*v(n). Let b be k(13). Put b, 3, -12, a in increasing order.\nAnswer: -12, a, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -256*b**3 - 2*b**2. Let l be y(-1). Suppose s + 2*n - l = 4*n, 0 = -s + n + 251. What is the tens digit of ((-3)\/(-12))\/(2\/s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -6616, 9 in descending order.\nAnswer: 9, -4, -5, -6616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -379\nAnswer: -3\/379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-45) + 0 - 4\/12. Let n = 3\/20 - v. Is 0 >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 5:26 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2267, 5726, 11507, 19610, 30035, 42782?\nAnswer: 57851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(sqrt(9) - sqrt(45)\/(-2*sqrt(5))))\/(((sqrt(72)*-2 - sqrt(72)) + sqrt(8))*-2).\nAnswer: sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 7)\/(13\/65)*78\/10\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7299545 divided by 5\nAnswer: 1459909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**3 + 6726*w**2 + 7539846*w + 2817389122 = 0.\nAnswer: -1121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 47162083 divided by 811?\nAnswer: 58153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3\/4 + 65*k**2\/4 - 225*k\/4 - 1125\/4.\nAnswer: 5*(k - 5)*(k + 3)*(k + 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -3*m - m. Let o be (-15)\/(-6)*m\/15. Which is the nearest to -0.1? (a) o (b) -0.2 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4838 + 0.0838. Is i < 67\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -8*v**2. Let l(q) = q**3 - 3*q**2 - q + 4. Let n be l(3). Let o(f) = n - 4 + 3 - 2*f. What is o(w(k))?\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 70197 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 391248 = 4*j + 5*w, 3*w + 123578 = 4*j - 267638. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*q - 23*q - 81*q)*(1 - 5 + 5 + 2 + 0 - 1 + (-2 + 0 + 3)*(-3 + 1 + 1)) to b + p*q and give p.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 0) + 108\/(-36). Let t(y) = 3*y**3 + 0*y + 3*y - 5*y**3 - y**2 + y**3. Give t(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1017645 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 275706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -493*d - 2030. Does 2 divide g(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/4 + ((-83)\/60 - -1)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120, 437, 956, 1671, 2576?\nAnswer: 3665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 + -53. Let f = -13 - g. What is the nearest to -2 in f, -1, -2\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -d**5\/60 + 5*d**2. Let c = 7 + -5. Let j(w) = -5*w**2 - 3*w**c + 2*w**2. What is b(j(x))?\nAnswer: -36*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -57952627*b**2*s - 25692319*b**2 wrt s.\nAnswer: -57952627*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1086972)\/(-386) - (-40)\/20. Let f = k - 2818. Let i(l) = -l**3. Let x be i(-1). Which is smaller: x or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2856, -5701, -8534, -11349, -14140, -16901, -19626?\nAnswer: -22309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/15)*k*k*k**(-2\/9)*k*k)**19*((k*k*(k**1*k)\/k*k)**40)**(-46) assuming k is positive.\nAnswer: k**(-328084\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 166051 + -825285?\nAnswer: -659234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(190)*6)\/sqrt(10) + 5)**2 + 1 + 2.\nAnswer: -300*sqrt(19) + 17128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -16*f + 75. Solve -5*t + 33 = g + 4, -f*t = g - 24 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 15*a - 128. Let m = 297 + -279. Calculate the remainder when l(m) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(2736)*-4 + sqrt(2736) - sqrt(2736))**2 + 4.\nAnswer: 43780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -0.127 (c) 1971 (d) 0.2 (e) 5 (f) 15\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 0 - -2 - -2\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(4\/2) + 5. Suppose 3*m + 0*m = a. Determine l, given that -4*l**4 - 5*l**4 + l**3 - 7*l**3 + 18*l**3 + 12*l**m = 0.\nAnswer: -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 3144?\nAnswer: 3145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 6*q**2 - 7*q - 1. Let s be i(3). Put s, -6, 3, 2 in descending order.\nAnswer: s, 3, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*i - 30*i = 69. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1765823 in 2\/7, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**4 - 2064*x**3 - 2076*x**2 + 4136*x = 0.\nAnswer: -2, 0, 1, 517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/2 + 207\/(-45)*85\/(-51)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111100110110 + -110?\nAnswer: -1111100111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 44826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -2031729\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -7. Let r be (18\/216)\/((-2)\/(-8)). What is the closest to r in 5, -0.1, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -83*o - 1. Calculate y(1).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -9. Let f be 5\/(15\/v) + 5. Solve 0 = 4*c - f*c + 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2 + 5*i - 5. Let v(p) = -p**3 - p + 1. Let t(d) = 4*b(d) + 20*v(d). What is the third derivative of t(l) wrt l?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 337, 357, 377, 397?\n\"Answer: 20*z + 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 7) to base 11.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m**17*m)*m)\/m)**(-7\/5) assuming m is positive.\nAnswer: m**(112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 152135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10432 (base 8) to base 11.\nAnswer: 3320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 381*y + 3 = -3*l + 380*y - 11, 0 = -4*y - 44 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.84 times -83003?\nAnswer: -4385878.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l - 4. Let b be w(-5). Let n(o) = -2*o + 1. Calculate n(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -4*o + 5*c - 3*c, 5*o = 2*c + 27 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1) + (101 + -84 - (-32 - 0)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -841119454*w**3 - 841119458*w**3 + 1682238911*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, q: 5, s: 6}. What is prob of picking 1 n and 1 q?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**(-3)*t))**4\/((t*t\/(((t**(2\/3)*t)\/t)\/t))\/t)**(7\/3))**20 assuming t is positive.\nAnswer: t**(880\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4 = 0, 387 = -3*c - 2*w - 1189. What is the tens digit of c\/(-36)*(-6)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235526827 a multiple of 860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 444.7 + -412. Let r = l + -33. Put r, 3, 0.5 in decreasing order.\nAnswer: 3, 0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(672) - sqrt(252)\/(sqrt(54) + sqrt(6)))\/(2*sqrt(42)\/(-2*sqrt(7))).\nAnswer: -15*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-2))\/((-16)\/(-64)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1.12?\nAnswer: 1.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*u - 6 = -17*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 283736 by 4.\nAnswer: 70934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 28 - 4. What is the units digit of 4\/(-8)*l - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15427, 12156, 6705, -926?\nAnswer: -10737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-4*sqrt(21) + (1*sqrt(1701) - sqrt(1701)))\/((-1*sqrt(1344))\/(sqrt(28)*-6)).\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 3*t**2 + 2. Let b be f(3). What is the nearest to 2\/7 in -0.2, -1, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 21 - 8*b**2.\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 132 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-8)*m)\/m**6)**27\/(m\/m**(3\/7)*((m*m*m**(-6)\/m*m)\/m)\/m)**(-1) assuming m is positive.\nAnswer: m**(-2306\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h + 52. Let i be f(12). What is the second smallest value in i, -4, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4357676 or -4357677?\nAnswer: -4357677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 4, 337*v + 14 = -5*h + 333*v for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2*w - 5)*(44*w**3 - 13*w**3 - 3*w**3 + 21*w**3) to the form v*w**4 + t*w + q + i*w**3 + g*w**2 and give v.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-104)\/(-1170))\/(-16 - 740\/(-50))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 8. Suppose 5*b - m - 9 = 0, b - m + z - 3 = 0. Put -1, -3, b in decreasing order.\nAnswer: b, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 17*s**6\/6 + 133*s**5\/5 + s**4\/2 - s**3\/3 - 4503*s - 4315. What is the third derivative of m(c) wrt c?\nAnswer: 1020*c**2 + 3192*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11871 + 2?\nAnswer: 11873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*t - 2650 = -179*t + 1046 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(153) - (sqrt(153) - (sqrt(153)*-1)**2)) + -5 + -1.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -344.\nAnswer: -68.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -726.7 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - x**2 + 85*x - 409. Calculate i(5).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -9*t**3 - 5*t**2 - 3. Let n = -10 + 17. Let d(v) = 13*v**3 + 7*v**2 + 4. Determine n*k(l) + 5*d(l).\nAnswer: 2*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*t + 39*t + 30*t)*(1 - 3 + 4).\nAnswer: 100*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -515, -517, -519?\nAnswer: -521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x + 3. Let b be 6\/10 - 35\/(-25). Let u(i) = 7*i - 7. What is b*u(n) + 5*c(n)?\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60 - -52) + (-22 + 12 + -55 - 8)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/342 and -125\/108.\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -900 - -11236. Is 10337 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 6:44 PM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(176)*1 - (sqrt(176) + (sqrt(176) - (sqrt(176) + -2*(sqrt(176) + -1)))))**2 + -1.\nAnswer: -16*sqrt(11) + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -56, -120, -198, -284?\nAnswer: -372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 188980000 to the nearest 1000000.\nAnswer: 189000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27305 is divided by 2275.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 214519872 divided by -7786.\nAnswer: -27552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1849 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 15*d**2 - 318*d - 71. Give t(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 21723.7483 to zero decimal places.\nAnswer: 21724","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(11))*-1 - sqrt(704)*2) + -4)**2.\nAnswer: 136*sqrt(11) + 3195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*d - 52 + 383 - 168 - 166.\nAnswer: -53*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -8*m**4 - 10*m**2 - 7. Let r(h) = 6*h**4 + 6*h**2 + 5. Suppose 2*y - 126 + 136 = 0. Let q(o) = y*v(o) - 7*r(o). Suppose q(p) = 0. What is p?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 639493971.\nAnswer: 3, 213164657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6004790 by -10.\nAnswer: -600479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1399 - -797. Let n = g + -2195.99998661. What is n rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12916, 12861, 12806, 12751, 12696, 12641?\nAnswer: 12586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1115\/(-72475))\/(2\/30)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 45 = 2*r. Is r a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5.9, 0.26, 10\/47, -4 in increasing order.\nAnswer: -5.9, -4, 10\/47, 0.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 44071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2 + 18. Let x be k(-3). Suppose -15*w + 11*w + 240 = x. What is the greatest common divisor of w and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*m**3 - 5 + 3 - m**2 + m + 8*m**3 to t*m**2 + q + c*m**3 + v*m and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -415, -988, -1757, -2716?\nAnswer: -3859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d - 11. Suppose -4 = 3*u - 7*u. Let n be -8 + (1 - (3 - u)). Is f(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h**2 - 20*h. Let g(l) = -l**2 + l. Let b(z) = 3*g(z) + k(z). Let s(x) = -x. Give b(s(r)).\nAnswer: r**2 + 17*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 319804 - 319804 + 2*d. Let i(j) be the first derivative of -j**2\/2 - 17*j + 4. Determine u(i(k)).\nAnswer: -2*k - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -0.808.\nAnswer: 0.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2849 in -1, 2\/11, -0.3, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1612375 is divided by 2626.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2141, 4949, 7759, 10571?\nAnswer: 13385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 62 in -9.3, 0.4, -579, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5301 divided by -142143\nAnswer: 1767\/47381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 17*v. Let x(s) = 3*s - 10. Let z(g) = -15*g + 55. Let d(b) = 22*x(b) + 4*z(b). What is m(d(n))?\nAnswer: 102*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*c**5 - c**4 - 3*c**5 + 8*c**2 + 12*c**5 + (13*c**2 + 3*c - 3*c)*(-c**3 - c**3 + c**3).\nAnswer: -12*c**5 - c**4 + 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**4\/13 - 30*p**3 - 18812*p**2\/13 + 19992*p\/13 + 38416\/13 = 0.\nAnswer: -98, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -205? (a) -5 (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 12 = 4*g, -x = -0*x + 4*g. Calculate the highest common factor of x and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.09 and -135.\nAnswer: 12.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19*x**4 + 8034*x + 3801221.\nAnswer: 76*x**3 + 8034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8096233 to the power of 1\/4, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)*2 + 2 - (sqrt(500) + (sqrt(500) - (2 + 1 + sqrt(500))) - sqrt(500)))**2*-5.\nAnswer: -10125 - 1000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t + 8*t + 10*t + 2*t - 18*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - -5. Let v = u - 21. Does 17 divide (-80)\/(-3)*v\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 + 3140*d**2 + 646908*d + 40000572.\nAnswer: 4*(d + 141)**2*(d + 503)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 - (-102 - 9) - (0 + -99 + 2)?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 - 22. Calculate the remainder when 33 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*f + 2 - 7)*(0 + 1 + 11) + 3 + 2*f - 3.\nAnswer: -22*f - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -3*l**2\/2 + 7*l - 103. Give i(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/8)\/(1\/12). Let m(g) = 2*g + 12. Let h be m(j). Suppose h = -w - 3*w + 120. Is 15 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -3*j + y, j - 17*y - 26 = -16*y. Solve -5*u + 4*l = 17, j*l = 27*l - 6 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36\/7 + 24\/7*n - 9\/7*n**3 + 51\/7*n**2.\nAnswer: -3*(n - 6)*(n + 1)*(3*n - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1663350 and 9980100.\nAnswer: 9980100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12065 is divided by 289?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*p, -2 = 2*y + 4*p - 3*p. Let a = 1 + y. Let l = -356 - -1427\/4. Is a greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -28, -81, -146, -205, -240, -233, -166?\n\"Answer: 3*w**3 - 24*w**2 - 2*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -399 + 574. Let y = m - 111. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6474 divided by 6474\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 o when four letters picked without replacement from {a: 1, p: 1, o: 4, w: 5}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4)*c**7*c**3*c*c**(7\/2))**(-30) assuming c is positive.\nAnswer: c**(-315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(208)*-3)**2 + 0.\nAnswer: 29952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 19. Suppose 11 = 5*z - 4*a, -6*a + l = z - 3*a. Suppose -44 = -q - z*q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 3)*(-5)\/10. Let n be 0 - 4 - -3 - -2*j. Is n*6\/(-3) - -5079 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) 1\/5 (b) 3\/2 (c) 996 (d) 2\/3 (e) -5 (f) -6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -473485?\nAnswer: 4\/473485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**2\/7 - 18182*h\/7 + 482196 = 0. Calculate h.\nAnswer: -9273, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n. Let b(m) = m**2 + 5*m - 3. Let l(u) = 3*u**2 + 10*u - 5. Let p(w) = -5*b(w) + 2*l(w). Let o be p(6). Let d = o - 17. Determine x(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*n - 1211 = -5*r, -808 = -2*r - 2*n. Suppose 3*m + 3*p = 261, 5*m = -p + 4*p + r. Calculate the remainder when m is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17865221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7779 is divided by 7776.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110 + -100?\nAnswer: -10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, q: 6, e: 1, c: 2, w: 3}. What is prob of sequence ewq?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4414?\nAnswer: 2, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/13, 3, 2\/69, -3.\nAnswer: -3, 2\/69, 6\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -9708163 (base 10) to base 7\nAnswer: -145342453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -743*l**3 - 454*l**3 + 1669*l**3 - 464*l**3.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237 = -14*d + 281. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 259 - 255. Calculate the smallest common multiple of v and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 90.24098 millilitres?\nAnswer: 0.09024098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-2) - (-15)\/3. Suppose x = -r, 2*w + 16 = -5*x + 3*x. Let i = 4.7 + -5. Which is the biggest value? (a) -2 (b) i (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**2\/3 + 7568824*l = 0.\nAnswer: -22706472, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 63 + 13*o + 54 - 110. Determine h(-5).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -504 = -4*h - 188. Solve -8*g - 55 = -h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 4*r**3\/3 + r**2\/2 + r + 6. Let l be t(2). Suppose 0 = -v + l - 15. Solve 2*p + 0*z - 3*z = -14, -p = -v*z + 17 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 3*c - 6 - 9, -3*n - 2*c - 10 = 0. Solve j - 2*h = n, 3*j + j + 4*h = 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 3*x - 2*x**3)*((1 - 4 - 11)*(2 + 0 - 3) - 8 - 20 + 32)*(1 + 3 - 3)*(2*x - 2*x - x**2).\nAnswer: 36*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (0 + 0 - (-42 - -47)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence au when two letters picked without replacement from {z: 2, u: 3, a: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 7:43 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -56131 (base 12) in base 3?\nAnswer: -12210200201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -12. What is the remainder when -342 + 408 + 4*(1 + -2) is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1400 and 350.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 5*o + 21, -2*o = -3*g - o + 1. Let c be (5\/(-2))\/(1\/(-2)). Let q be (g\/c)\/(8\/10). What is the third biggest value in q, -3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4*z + 14. Calculate k(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*t + 9*t - 54*t + 8 to b + i*t and give i.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i + 176. Let r(u) = -15. Let m(b) = -q(b) - 10*r(b). What is m(8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, q: 4, u: 8, w: 2}. Give prob of sequence wwq.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/11*2 + 544\/4686. Which is bigger: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -4474331b?\nAnswer: 44743321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**4\/12 - 20*q**2. Let f(p) = p + 2. Let y(w) = 1. Let g(j) = f(j) - 2*y(j). Calculate u(g(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 122 + 58 + 864*d**2 - 854 - 868*d**2 to the form i*d + w*d**2 + t and give t.\nAnswer: -674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 3*y - 5*u = 30, -y - 4*u - 15 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*t**3 - t**3 - 5*t**3 + t - 5*t**2 to the form b*t**2 + l*t**3 + c*t + s and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 + 1. Suppose -2*j - 3*y = -41, -5*j + 137 = -4*y - 0*y. Suppose -3*l + s = -4*l - 7, s - j = 3*l. Let o = 6 + l. What is m(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -555*q - 394*q = 66*q - 78*q + 6559 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69210?\nAnswer: 2, 3, 5, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2718.99 - -2739. Let i = 19.01 - h. Let l = 2 + -1.8. Which is the third biggest value? (a) -2\/11 (b) l (c) i (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -1 (b) -1\/4 (c) 7 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 n when two letters picked without replacement from {c: 2, n: 3, b: 7}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 3.8, 1\/5, 59, -735?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1*(2 + -5 + -506)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4896?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(1216) + -4 + 2 + sqrt(1216) + 2)*5*-2)**2 + 4.\nAnswer: 6400*sqrt(19) + 486804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2910 + 5799. Is 51 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*x = -72 + 18 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 5*q**2 + 27*q - 112. What is the remainder when v(4) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -41*x + 165. Solve x*z - 18 = 5*r + 7*z, -3*z = 4*r + 14 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 244 = -0*o. Let c = -119 - o. Let b = -2 - -10. Solve -c*w = -b - 7 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43.89 + 43.883042. Let l = m - -0.007. What is l rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 6:46 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 1498*f**2. Let u(a) = 4*a**2 + 5*a + 295. Let l(m) = -3*m**2 - 4*m - 236. Let c(x) = 5*l(x) + 4*u(x). Determine c(v(i)).\nAnswer: 2244004*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1.2365335 + 0.3\nAnswer: 1.5365335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -12*t - 80. Let l be s(-7). Solve -11*x = -10*x + l for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -74c4?\nAnswer: -74be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 2) + 0 + 10. Let u(b) = -b**3 - 12*b**2 + 65*b + 26. Let w be u(-16). What is the greatest common divisor of h and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49835534.026799871 + -49835534. Let y = s + -0.0268. Round y to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 3*s**2\/2 - 54698604*s + 498656213258136 = 0.\nAnswer: 18232868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**4\/4 - x**3\/2 - 5*x**2\/2 + 8*x. Let f be v(-2). What is the greatest common factor of 52 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*w - 65 = 32*w + 13*p, -2*w - 4*p + p + 1 = 0 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -113\nAnswer: -56.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21928314 is divided by 6649?\nAnswer: 6561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-6)\/30)\/(1\/10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 9366 = -9358 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s - 20. Let d = 110 + -114. Let k be (-1 + d\/(-6))*0. Determine h(k).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a4 (base 11) in base 14?\nAnswer: 1b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 1 - (-4 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**3 + 2*h**2 + h. Let t be 5\/(-2) + (-12)\/(-8). Let n be x(t). Suppose -168 = -n*i + 603. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*a - 1 + 1 + 12*a**3 - 3*a wrt a?\nAnswer: 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 250 = 135. What is the greatest common factor of h and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z + 2. Let s be i(4). Let y = s - -3. Let p = 36 + -28. Calculate the smallest common multiple of y and p.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 3*b = 2*b, 4*a - a + b + 13 = 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6 + 0.55. Let f = -0.04 + n. Let r = f + -3.91. Which is the smallest value? (a) r (b) 2\/5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - u. Let x(f) = 4*f**2 + f + 1. Let m be 1 + 1\/(-2)*(8 - 10). Calculate m*a(z) + x(z).\nAnswer: 2*z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -69888.1 + -3.\nAnswer: -69891.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 22260272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 6*k**2 + 25*k - 12. What is h(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 1 + 2 = 0. Let l = 4 + s. Let q(i) = 347*i - 14918. Let a be q(43). Solve 4*w + l = -a for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r\/(r**(1\/8)*r)))\/(r**(5\/2)*r*r*r))\/((r*r\/(r*r*r\/(r**(1\/8)*r))*r*r*r)\/(r*r*r**(2\/5))) assuming r is positive.\nAnswer: r**(-41\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -46*f + 184. Determine t(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -11*i - 2. What are the prime factors of p(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 126 = -3*j. Let c be (8\/(-12))\/(4\/j). Let o(i) = -i**3 + 2*i**2 + i. Calculate o(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 6:27 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 0.1, -0.1, 3\/2, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 504 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3235673 is divided by 44?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -22, -1, 66, 203, 434, 783, 1274?\n\"Answer: 4*u**3 - u**2 - 4*u - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -5*i**4 - 3*i**3 - i**2 - 3*i - 3. Let n(r) = 4*r**4 + 2*r**3 + 2*r + 2. Let c(y) = 4*m(y) + 6*n(y). Suppose c(p) = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 1446?\nAnswer: 1446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13876 - 14177. Sort x, -0.6, -1\/10 in increasing order.\nAnswer: x, -0.6, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 916757053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, u: 11}. Give prob of picking 3 z and 1 u.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 14) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c = 243527065 - 65117065. Round c to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 + 53 = 4*h. Let w(u) = 17*u**2 - 5*u + 2. Let p be w(3). What is the highest common factor of h and p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 621, 1062, 1141, 678, -507?\nAnswer: -2594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -5*j**2 + 10*j. Let f(n) = 7*n**2 - 3*n**2 - 149*n + 149*n - 3*n**2. Determine w(f(t)).\nAnswer: -5*t**4 + 10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 229 + -232. Let u be 124\/(-6)*(v - (-9)\/6). Solve 0 = -3*g + 37 - u for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2*p - 5*x + 93 = 0, p + x = 42. Suppose -p = -2*n - n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g*g*g**(-2\/7))\/g))**(-9\/8)\/(g\/((g**(-1)\/g)\/g))**18*(g*g**(-2\/9))\/(g*g**1\/g)*(g\/g**1)**(-20) assuming g is positive.\nAnswer: g**(-18281\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 414 = -s, -4*s - 2*f = -78 - 1578. Let j(o) = 2*o**2 - o - 14. Let q be j(10). Suppose -179*b + q*b + s = 0. What are the prime factors of b?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -7*q**2 - q - 6. Let c be m(-3). Let r be 37411\/(-121) - (-4)\/c*-3. Let o = -173 - r. What are the prime factors of o?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 21294884 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/9)\/(z*z\/(z*z**(1\/11))*z))\/(z*z**(-2\/7)*z)**17)**12 assuming z is positive.\nAnswer: z**(-85460\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 46 in 0.2, -1.9, 4, -0.29?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -43?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -1 - 7. What is the greatest common divisor of k and 41?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/(-20))\/((-2)\/10). Let q be (m - -3) + 1 + 4. Suppose 0*l - q = -l. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/7 + 7106*n**2\/7 - 6126800*n\/7 - 331214808\/7.\nAnswer: -2*(n - 1802)**2*(n + 51)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 555265385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 413 = 6*y + 89. Is y a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-1)*(-4)\/((-8)\/5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-69)\/(-6) + -11)*-1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*r**3 + 274608*r**2 - 14*r - 17991 wrt r.\nAnswer: -24*r + 549216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -c**5\/60 + 7*c**4\/24 + c**3\/3 - c**2. Let q be l(7). Solve -12 = q*r + 2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-111)\/(-10) + (-34 - -25) and 117\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) + sqrt(1900) + sqrt(1900) + (-1 + sqrt(1900))*-5 - -2*sqrt(1900)*-2)*2)**2 + 5.\nAnswer: -2400*sqrt(19) + 273705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (8 - (-1 - -2)). Let x(b) = -b**3 - 6*b**2 + 7*b + 6. Calculate the remainder when 10 is divided by x(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 154 or 124117\/804?\nAnswer: 124117\/804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-94\nAnswer: 37.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 2\/3 (c) -23628\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 126 + -2644\/21. Let w(u) = -u**2 - 3*u + 1. Let k be w(-4). Let p be 2 - 2\/((-18)\/(-15)). Which is the nearest to p? (a) k (b) n (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from otygyttytt. What is prob of sequence gyto?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.05 times -40470?\nAnswer: -123433.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-21)\/3 + (-12)\/(-3) - 9. Let s = 45 - 28. Let z = s + t. Solve -6*l + 12 = -3*l + 5*v, 10 = 5*l + z*v for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 26 = -3*q, 178*a + 20 = 365*a - 182*a for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 202?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -2, -117, 4\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 0 + -2)**2 - ((sqrt(7) - sqrt(1008)*-2) + sqrt(7)).\nAnswer: -30*sqrt(7) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-45945)\/4)\/(-9) + 2\/(-8). What is the highest common divisor of 44 and v?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -300784, -300834, -300884, -300934, -300984?\n\"Answer: -50*y - 300734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29465611?\nAnswer: 7, 601339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 47, 115, 203, 317, 463, 647, 875, 1153?\n\"Answer: i**3 + 4*i**2 + 49*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 2\/687 (b) -0.4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211443211 (base 5) to base 4.\nAnswer: -3121120333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -299812105*d**4 - 339015401*d**2 wrt d?\nAnswer: -7195490520*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 18, -2, 3 in increasing order.\nAnswer: -3, -2, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, f: 6, r: 4, t: 1}. What is prob of picking 1 f, 1 p, 1 r, and 1 t?\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -184 + 28?\nAnswer: -15b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/11 + 1494*g**2 - 825450*g\/11 + 10333750\/11.\nAnswer: 2*(g - 25)**2*(g + 8267)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -854 - -1209. Let l = -354.005 + r. Round l to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 + 0*b**2 - 89 + 89.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47*a**2*b**2 - 2*a**2 - 7*b - 6 wrt b.\nAnswer: 94*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 688 and 516?\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 21579*g. Let w(z) = -36*z. Give o(w(b)).\nAnswer: -776844*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 146 + -124. Suppose -5*m + u = -17 - 25, 2*u + 4 = 0. Calculate the lowest common multiple of t and ((-4)\/m)\/(1\/(-4)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*o - 51 = 114 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88a (base 13) to base 10.\nAnswer: 1466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*g + 2*g + t, 0 = 5*g + 3*t - 35. Suppose 3 = -2*o - 5*b, -o - 3*o = -2*b - 6. Let a be (-36)\/(-9) + (-2 + o - 1). Solve 0 = -a*w - g - 6 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 748986 and 210?\nAnswer: 3744930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**9\/g**(-2\/3)*g**(5\/6)*g**7 assuming g is positive.\nAnswer: g**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -452 - 3148 = 5*f. Does 20 divide (18\/8)\/((-27)\/f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1608 and -62.36.\nAnswer: 100274.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20.2 + -79.8. Let i = -101 - t. Which is the smallest value? (a) 2\/7 (b) -2\/11 (c) 0.2 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**3 + 4*q**3 - 4*q**3 + (-3*q**3 - 2*q**3 + 6*q**3)*(3 + 0 - 4) - 3*q**3 + 1 - 1.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 526343535 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - k**2 - 3*k + 8. Let s be o(0). Suppose i - 225 = -s*i. Solve -i = -2*j + 7*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 608102 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -84, -4, -5, -3, 5, 10 in decreasing order.\nAnswer: 10, 5, -3, -4, -5, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 89\/388 + 2\/97. Let r = 2 + 2. Let b = 8\/77 + 6\/77. What is the nearest to 1 in z, b, r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*i = 185*i + 16. Solve -3*p - 10 = -2*v + p, i = v - p for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35.7 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 332053010 to the nearest one million.\nAnswer: 332000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 3*f**2 - f + 14. Determine a(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 l when four letters picked without replacement from iltgglhhglytllggtgly?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 43*r + 563. Calculate the smallest common multiple of 3242 and n(-13).\nAnswer: 6484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7397 (base 10) to base 13\nAnswer: 34a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2803 - -3114. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 0*d**2 + 0*d - 1\/2*d**5 + 0*d**3 + 0 - 3\/2*d**4 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -b - 57. Let d(f) = f - 1. Determine -6*d(r) + 4*k(r).\nAnswer: -6*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 540\/138 + -4 - 272\/(-1012). What is the smallest value in 5, 14.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -875, -1748, -2617, -3482, -4343, -5200, -6053?\n\"Answer: 2*l**2 - 879*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m + 255 - 5*m - 2*m + 3*m.\nAnswer: -3*m + 255","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - q - 1. Let g(v) = 8*v**2 + 5*v + 29. Let s(t) = -9*t**2 - 4*t - 28. Let i(w) = 4*g(w) + 3*s(w). Let k(n) = i(n) - 4*p(n). Factor k(c).\nAnswer: (c + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -2\/9 (c) 1 (d) 2\/11 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 590.2988 millimeters?\nAnswer: 0.5902988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -10, 253, -65, -4 in decreasing order.\nAnswer: 253, 3, -4, -10, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + sqrt(80)*2 + sqrt(80) + -1 + sqrt(80) + sqrt(80)*1 + -3)**2.\nAnswer: -4018 + 240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 11*v - 25 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xtppxpvxpqpv. Give prob of picking 4 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.46*2903\nAnswer: -1335.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 6:17 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(468) + sqrt(468) + -1 + 0 - sqrt(468) - ((sqrt(468) - -1*sqrt(468)) + 2 - sqrt(468)))**2*6.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -5*l**2 + 5*l - 26. Let q(s) = -s**2 + s - 5. What is -11*q(i) + 2*z(i)?\nAnswer: i**2 - i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -36*r**5 + 181*r**4 + 789*r**3 + 544*r**2 - 60*r - 32 = 0.\nAnswer: -2, -1, -2\/9, 1\/4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*x + 9 = 0. Suppose 5 = -5*q + x*j + 1, -5*j = -5*q. Let p = 4 - q. Solve -3*g + 6*g + p = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(-2)\/4 + -1. Solve 5*w + 20 = -0*w - 5*y, -2*y - 10 = x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(2)*-2))\/(sqrt(270)\/sqrt(5)).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1888, 3790, 5692, 7594?\nAnswer: 9496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 104707 rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 x, and 1 t when three letters picked without replacement from {x: 5, t: 3, s: 1, a: 8, d: 2}.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74402623, 74402624, 74402625?\nAnswer: 74402626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -94269860*l**3 - 35571505*l**2.\nAnswer: -565619160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 613633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10060 (base 7) to base 12.\nAnswer: 14b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 171, -10, -1, 10, -5 in decreasing order.\nAnswer: 171, 10, -1, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, g: 3, z: 3, d: 3}. What is prob of sequence gzdz?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -2*f - 3*k, -28 + 24 = 2*f - k for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -5.12 (c) 3 (d) 2 (e) -2 (f) 1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4212\/61 + 8485\/122. Factor -z*o**3 + 4 - 3\/2*o**2 + 3*o.\nAnswer: -(o - 2)*(o + 1)*(o + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257223163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*t**2 + 21*t**2 + 284*t**3 + 21*t**2 + 21*t**2 + 19*t**2 - 282*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97738865?\nAnswer: 5, 7, 17, 164267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - 78967?\nAnswer: -78960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 174 and 2531120?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7676758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -36, -1\/2, 38?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-8))\/((-134)\/2680).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p + 11*p - 704. Suppose 156 + p = 5*x. What is x rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -z**6\/50 - 9*z**5\/20 - 63*z**4\/20 - 49*z**3\/10 - 7*z - 2. Factor b(l).\nAnswer: -3*l*(l + 1)*(l + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 0*n**4 + 27 + 0*n - 6\/5*n**5 + 0*n**3 - 7*n**2. Find the second derivative of t(u) wrt u.\nAnswer: -72*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -8*a + 281. Give q(34).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -43662 divided by -1?\nAnswer: 43662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1*((-144)\/(-81))\/(-8)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, n: 7, g: 6}. What is prob of picking 4 n?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 15*h - 38019 - 266021 = 0. What are the prime factors of h?\nAnswer: 2, 5, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 455 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 12:31 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 235343856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20)\/35 - (-354)\/7. Calculate the highest common factor of v and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -o - 3*q, 0 = 3*q - 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -20. Suppose 5*q = 4 + g. Suppose -5*a = -q*m + 12 + 8, 3*a = 3*m - 18. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -29*k**2 - 1296*k + 85. What are the prime factors of s(-38)?\nAnswer: 7457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -159806500 to the nearest 100000.\nAnswer: -159800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 + 86 = -4*a + 29*p - 77, -2*a - 3 = -3*p + 16 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2567, -3, 0, 2, -122 in increasing order.\nAnswer: -122, -3, 0, 2, 2567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n - 4*m = -7*n + 32, -4*m = -5*n - 13 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/1081980 and -113\/10.\nAnswer: 1081980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 + 27528*b**2 - 63149232*b + 48288112736.\nAnswer: -4*(b - 2294)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8724 - -156985\/18. Suppose -5*i + 157 = 2*c - 0*i, 2*i - 76 = -c. What is the common denominator of 331\/c + 2\/(-6) and v?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 33 + (-6 - ((-24)\/(-6) + -9)). Suppose 25*i + 168 = n*i. Calculate the least common multiple of i and 30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 1398893.\nAnswer: -1\/1398893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-3)\/7)*3188\/(-970746)?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43\/4954 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 8*v = v + 46, 2*g - 2*v + 48 = -6*v + 52 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64355, -128679, -192969, -257225?\nAnswer: -321447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 - 45*f + f**2 - 42*f + 93*f.\nAnswer: f**2 + 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 58, 51, 40, 25?\n\"Answer: -2*d**2 - d + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v**4\/7 - 35832*v**3\/7 + 7122*v**2\/7 + 157652*v\/7 = 0 for v.\nAnswer: -2, 0, 11\/5, 3583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -b**3\/3 + 5*b**2 - 11*b - 116. What is t(9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 5*p - 2. Let c be j(-4). Let x = c - -4. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -9*(2 - -2)\/(-4). Calculate the greatest common divisor of 153 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 855?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 43012, 44241, 45460, 46663, 47844, 48997, 50116, 51195?\n\"Answer: -w**3 + w**2 + 1233*w + 41779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -131233312?\nAnswer: -131233314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-190)\/4*108\/(-90). Let a = o + -45. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 34*f**2 + 31*f + 59. Calculate h(33).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 14) to base 3.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63 - 327 + 133 - f + 4*f + 140 + f.\nAnswer: 4*f + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**6\/2 + a**2 - 9*a. Differentiate m(n) wrt n.\nAnswer: -60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + -8 - -6) + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.397437 days to milliseconds.\nAnswer: 466338556.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -53 divided by 538\nAnswer: -53\/538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((((f*f**(1\/2))\/f*f)\/f*f)\/f))\/(f\/(f\/f**(2\/3))))**(-43) assuming f is positive.\nAnswer: f**(43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9440 and 640?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5642992 + 9 + -6 - (-5 + 0). Suppose 9*h - 18*h + o = 0. Round h to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -2. Let q(d) = 17*d**2 - 4*d + 3. Let w be q(2). Suppose -2*k - k + w = c. Does 21 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, b: 2, c: 3, z: 5, t: 1}. Give prob of picking 1 z and 1 c.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-37)\/((-3)\/2 - (-75)\/30). Find the common denominator of 71\/8 and y\/(-3) - (8 + -11).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -4, 1693 in decreasing order.\nAnswer: 1693, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56652*u + 7 = -3*a - 56651*u, 4*a - 4*u + 28 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.242 + -100.568. What is j rounded to zero dps?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/8*20\/5. Suppose 4*a + 4*z - 4 = 8, z = m. Let t(n) = -n**2 + 0*n + 0*n + a*n. Let i(b) = 3*b. Determine i(t(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(7) + sqrt(448)) - ((sqrt(49)\/sqrt(7))**2 - sqrt(7))*-5) + (sqrt(6300)*1)\/(5*(sqrt(45)\/sqrt(5) + sqrt(9)) - sqrt(9)).\nAnswer: -359*sqrt(7)\/9 + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5372*v**4 + 34*v**3 + 20*v**2 + v - 1171?\nAnswer: 128928*v + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 92 - 94. Let x(y) = -2*y - 6. Let s be x(-5). Suppose s = h + 7. Are l and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -7. Solve -p = -b*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37491 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 3*x + 0*x**2 + x + 4 - 5. Let u be (-80)\/(-14) + (-2)\/(-7). Suppose -o + u*o + 20 = 0. What is a(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -2*t - 21, 0*t - 43 = 3*t + 4*z. Let u be (t\/3)\/((-5)\/15). Suppose 5*x - 16 = 4*m, -u = -4*x - 2*m + 5. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -308*w - w**3 + 621*w - 320 + 2*w**4 + w**3 - 312*w as b*w**2 + x*w + m*w**3 + o + d*w**4 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 99679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411709 is divided by 284?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 118*v - 116*v - 5*v**2 + 0*v**2 + 1 - 4*v**3 to b*v**2 + o + k*v**3 + p*v and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 170 - 8b?\nAnswer: b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 26, -109, -234, -343, -430, -489, -514, -499?\n\"Answer: j**3 - j**2 - 139*j + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*(-2 + sqrt(363) + -1 + sqrt(363)))**2.\nAnswer: -880*sqrt(3) + 5908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 + 25*t - 37. Let n be s(-14). Find i, given that -2*i**2 + 6 + 7*i**2 + 6*i + n*i**2 - 20*i - 2*i**3 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooydffddooyyddfddf. What is prob of picking 2 y and 1 d?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5.279, -3, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**3 + 138*z**2 - 51*z - 105. Is n(-62) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 - 11. Suppose 0*v = 4*n - 4*v - t, 4*n + 4*v = 20. Suppose y - 3*s = 9, n*s = 3*y + s - 27. Is y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/4455763 and -93\/130?\nAnswer: 44557630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3*f = 409, 0 = -2*u + 2*f + 28 + 180. Let m be 2 - (-7)\/(21\/9). Suppose 87 + u = m*h. Does 17 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*u + 12 = -3*h, 0 = 5*h - 3*u + 12. Suppose h = 6*m + 4*m - 580. Which is smaller: m or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13183*p - 13184*p + 5*f = 10, 5*p + 6*f = -113 - 30 for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 263 + -260. Let t = 0.8 - 0.5. Which is the third smallest value? (a) -5 (b) 2\/5 (c) t (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 662\/11 - 60. Suppose -2*d = -6*d + 12. Let f = 1 + d. Sort f, k, -2.\nAnswer: -2, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*v - 260 = -227 + 777 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/4300 and -131\/9600?\nAnswer: 412800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 597*o. Let g(u) = -5*u**2 - 61135. What is g(x(h))?\nAnswer: -1782045*h**2 - 61135","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + -39. Let h be 9\/v + (-38)\/(-12). Solve h = 2*w + 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4*j**2 + 3*j + 125. Let t(m) = -2*m**2 + m + 42. Give -4*b(x) + 11*t(x).\nAnswer: -6*x**2 - x - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*l**3*p*x**2 + 24*l**3*p*x - 2*l**2 - 10*l*p*x + 24*x**2 + 1 wrt l?\nAnswer: 102*p*x**2 + 144*p*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - 5 - 10*c + 3*c)*(12*c**3 + 2*c**3 + 183*c**3).\nAnswer: -394*c**4 - 985*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -9, 14 in descending order.\nAnswer: 14, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 10*w + 5*w - 20 = 0, 5*i = -4*w - 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4227897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 79138, 79039, 78940?\n\"Answer: -99*n + 79237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -82 + 136. Let a = 42.8 - u. Round a to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -0*p - 8. Suppose 2*a + 2*h = 3*h + 2, 4*h - 28 = -4*a. Suppose -13 - 8 = y - 5*x, -5*y - 2*x = -a. Sort y, 3, p in decreasing order.\nAnswer: p, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7167\/55 - -5421827\/41580. Find the common denominator of -113\/504 and b.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 5*m**3 + 6*m**2 + 3*m - 6. Let i(o) be the third derivative of -3*o**6\/40 - 11*o**5\/60 - o**4\/4 + 11*o**3\/6 + 87*o**2. What is 6*i(v) + 11*u(v)?\nAnswer: v**3 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1635697.\nAnswer: 7, 181, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 17*b**2 + 65*b - 2. Let c be o(-11). What is the third derivative of 47*y**2 - c*y**6 + 3*y**6 - 9*y**6 - 5*y**6 wrt y?\nAnswer: -2400*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 11:20 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 972547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 832, 1297, 1772, 2257, 2752, 3257?\nAnswer: 3772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 430516 and -1.7.\nAnswer: 430514.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - q - 16. Suppose 18*k - 19*k - v = 0, 3*v = -5*k. Calculate b(k).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.527 (b) 2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 468 and 1077180?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 73 + 66 = -5*q, -3*q + 15 = 0. Calculate the remainder when c is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-9)\/a*a)\/(a\/(a\/(a*a**(2\/9)))))**(-1\/6)*(a**(-1)*a)**20*a**(-1)*a**(1\/10)\/a assuming a is positive.\nAnswer: a**(-53\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 27*j - 4573. Give g(170).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 351489791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-93)\/(-18)*204\/(-136)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, l: 1, s: 1, i: 1, n: 1}. Give prob of sequence insl.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 10:40 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 35*y**2 - 70*y - 458. Let f(k) = -8*k**2 + 17*k + 115. Calculate 9*f(z) + 2*j(z).\nAnswer: -2*z**2 + 13*z + 119","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32.0392 or 2\/23?\nAnswer: 32.0392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 25*a**2 - 26*a - 36. Let w be g(-26). Let f be (w\/(-10))\/(12\/60). Calculate the greatest common factor of f and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 717*f - 2880. Let z be p(4). Solve z*i - 82 + 106 = 0 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 4. Let i(x) = -2*x**2 + 2 - p. Let h(u) = u. Give i(h(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 47*y**5 - 2*y**5 - 19*y**5 + y**3 - y**5 - y**3 + (-y + y - 2*y**2)*(-y**3 - 2*y**3 + 5*y**3) + 21*y + 7*y**5 - 21*y.\nAnswer: 28*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrxxxxxrxxxxkxk. What is prob of picking 1 r, 2 x, and 1 k?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 6 = -2*z. Put z, -0.1, -2\/7 in descending order.\nAnswer: -0.1, -2\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*v + 1 - 51*v - 18*v + 30*v.\nAnswer: -51*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 272 in descending order.\nAnswer: 272, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from ivii?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -459 = -581*v + 564*v. What is the lowest common multiple of 2535 and v?\nAnswer: 22815","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1472 - 0.2472. Suppose -7*y + 6*y = -13. Suppose 5*b = -2*x + y, 2*b - 4*x + 14 = -0*b. What is the second smallest value in z, 0.02, b?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 327*q - 4.\nAnswer: 327*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76\/5 or 16?\nAnswer: 76\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/14*5*(-63)\/(-1935).\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-124 - -167) + -196 + 73.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3389?\nAnswer: 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/69 or 2\/9?\nAnswer: -10\/69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a century in months?\nAnswer: 7680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 157216 and 21386?\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320 a factor of 1593690120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2272812 and 564?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 862339 = 5*b, 35*b - 32*b = 4*v - 862379. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (323\/68)\/((-1)\/(-8)). Let d = 66 - u. Which is bigger: d or 207\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 29 = -53*m, 25*m - 24*m - 3*s = -37 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and 1730197899?\nAnswer: 1730197900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8\/29 + -169\/87. Which is greater: -2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 25\/(-6) + -1 + 35\/30. Let u be -6*(h\/(-6) - 3). Let g = 1 + -1. Solve -2*k = 2*b - g*b - u, -5*b + 27 = 3*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(-13))\/q**(-3\/7)*(q*q**2)\/(q**(1\/5)*q) assuming q is positive.\nAnswer: q**(-307\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21301 and 1904?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 902054.1 grams to kilograms.\nAnswer: 902.0541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9, 8, 11, 18, 29, 44?\n\"Answer: 2*f**2 - 7*f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 790271.2ug?\nAnswer: 790.2712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 7*z + 5. Let w(v) be the first derivative of -v**3 - 2*v**2 - 26*v + 98. Let c(u) be the first derivative of w(u). Calculate -4*c(k) - 3*l(k).\nAnswer: 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2159957 to the power of 1\/3, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 192 - 74. Let b = -39 + l. Is 78 >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(152)*2 - sqrt(152) - sqrt(152) - sqrt(152))*1*3)\/(-3*sqrt(392)*-1*-6))**2.\nAnswer: 171\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 + 27510618*o + 27510615.\nAnswer: 3*(o + 1)*(o + 9170205)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - i = 40, 56346*m - 4*i = 56342*m + 28 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 128\/23 - 338\/69. Let b(w) be the first derivative of 17 - j*w**3 - 3\/2*w**2 - w. Calculate b(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1007 - -2453. Let b = a - 7227\/5. Let 0*h - 6\/5*h**2 - 9\/5*h**3 - b*h**4 + 0 = 0. Calculate h.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 5*m - 33 = -4*i, 5*m - 25 = 0. Suppose -223 - 107 = -i*d. What is the greatest common divisor of d and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 53, 147, 315, 581?\nAnswer: 969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 k when four letters picked without replacement from hffkeehfklefekkhefk.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*n = 43*n - 4*x + 32, 0 = -5*n - 4*x - 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33.9999946 + 34. Let d = h - 0. What is d rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 1)*7 + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**3 + 7*k**3 + 6*k**3 + k**3 + 1 - 1 + 3 - 3 + 2*k**3 + (2*k**3 + k**3 - k**3)*(-4 + 4 - 2).\nAnswer: 11*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-10)*v\/(v\/(v*v**15)*v)*(v**(-3)\/v)**(1\/21) assuming v is positive.\nAnswer: v**(101\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-32)*((-8)\/(-20))\/(5\/250)?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mammggpemgeggmgmmp. What is prob of picking 2 m and 2 g?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 - 20. Calculate the smallest common multiple of 6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22707742 (base 8) to base 12.\nAnswer: -17a9916","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 7*c**2 + 10*c - 11. Let y be m(8). Suppose 48 = y*u - 2. Solve 3*n - 2*n = 2*p + 6, 0 = 2*n - 3*p - u for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 35, -27, -2, 0.4, 1\/6?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 207473 and 4709?\nAnswer: 3527041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 442795 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 t be (2\/6)\/(91\/(-1638)). Let b(j) = -3*j + j**3 - j - j - 4 - 2. Let l(v) = -v**3 + 6*v + 7. What is t*b(o) - 5*l(o)?\nAnswer: -o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3182\/15 + -212. Let p = 4 - 3.96. Let z = p - 5.04. Sort g, 2\/11, z.\nAnswer: z, g, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*x**3 - x**3 - x**3)*(3*x - x - x) - 2*x**4 + 6*x**4 - 2*x**4)*(-4 - 46 - 336*x + 52).\nAnswer: -1008*x**5 + 6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 1\/5 (b) -0.4 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-4) - -1 - (-7)\/2. Let w be (-1)\/(-1)*1 - 9. Let a be n - 694*4\/w. Round a to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ntnuvnb. Give prob of picking 1 n and 1 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -375321592, -375321590, -375321588, -375321586, -375321584, -375321582?\n\"Answer: 2*p - 375321594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -112*b - b**3 + 513*b - 275*b as t*b**3 + f + k*b**2 + n*b and give n.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3 = -2. Suppose -6*y + a*y + 5 = 0. Let u = -917 - -917. Sort u, -4, y.\nAnswer: -4, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {z: 3, e: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 x when four letters picked without replacement from xxwxxwwwwwxwwwww?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43869 = -b + 2*d, -3*b - 1080*d + 131577 = -1076*d. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**9\/(x\/(x**(3\/13)\/x)))\/(x\/(x*x**(-7\/3))*x**(2\/5)) assuming x is positive.\nAnswer: x**(877\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 380, 374, 358, 326, 272, 190, 74?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -t**8\/1680 + t**5\/60 - t**3\/3 + t**2. Let a(h) be the first derivative of v(h). What is the second derivative of a(r) wrt r?\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29084656?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000149 to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q + 4. Let u(v) = -v**2 - v + 14. Let k be u(-5). Calculate s(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -22, 11, 3, -163, 2, 4 in ascending order.\nAnswer: -163, -22, 1, 2, 3, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1751, -0.5, -1\/6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 + 93. Suppose -3*o = -5*r - b, 0*o = -o - 5*r + 46. What is the remainder when 89 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/2)\/(0 + 5 + 3). Solve -12*i + 15*i = b for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (164 - 164) + (1 + -3 - -10) - -89.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158 - 401 = -27*b. Let m(f) be the first derivative of -f**2 - 3\/2*f + b + 1\/2*f**4 + 1\/3*f**3 + 1\/10*f**5. Find d, given that m(d) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/sqrt(3)*-4 - sqrt(104)\/(sqrt(8) + sqrt(72) + sqrt(8)).\nAnswer: -21*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 186 and 31.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.4 + -0.6. Let w = v + 19. Let a = 31.2 - 31.7. What is the second biggest value in a, -4, w?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -45, 1\/2, 4, -1, 2\/6151, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188 - 190 - 133 = -49*y + 175 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-147)\/(-637))\/((-29)\/(-174)*6*1).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 3*a - 330000. Round a to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1206.6145 * 10\nAnswer: 12066.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -x**7\/21 + x**3\/6 + 4*x + 8. Let g(z) be the first derivative of q(z). Find the second derivative of g(k) wrt k.\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 + -52. Let x(v) = -v**3 - 3*v**2 + 2*v - 3. Give x(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132+-0.20389581\nAnswer: 131.79610419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5846653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3\/88 + -1\/11. Let y = o - -5\/8. Solve 1\/2*t**2 - y*t**4 - 3\/2*t**5 + 5\/2*t**3 - t + 0 = 0 for t.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12091755*0.5\nAnswer: 6045877.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 6*t**3 + t**2 - t - 1. Let z = 9 + -9. Suppose z = 6*s - 3*s + 3. Determine f(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y + 3*y + y + ((21 - 3 - 4)*(-2 + 3 - 6)*(18*y - 83 + 83) + (-3 - 3 + 4)*(-2 - 2*y + 2) - y + 2*y + y)*(-1 + 4 - 1) as i*y + p and give i.\nAnswer: -2506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + o + 1. Let s(t) = 2*t**3 - 13*t**2 - 10*t + 3. Let d(k) = -6*f(k) + s(k). Let m be d(-7). Round m to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -8*(10 + (-105)\/10). Solve 6*a + j = 10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3391, -5, 2, -3, -15, -2 in increasing order.\nAnswer: -15, -5, -3, -2, 2, 3391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**6\/i*i)**50*(i**2\/i*i)**(-2\/5))**31 assuming i is positive.\nAnswer: i**(46376\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1083986636?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/9204 and -109\/89518104.\nAnswer: 89518104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.05 - -0.2. Let n = j - 0.05. What is the nearest to n in -5, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.09885158 - 0.09897. Round i to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - i + 2*i + 4*i**2 + 5. Suppose -5*q + 14 = -1, -w - 4*q + 7 = 0. Let z be u(w). Calculate the highest common divisor of z and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 410*g**2*o**2 + 611*g**2*o + 47*g*o**2 + 130*g*o - 5*g + o**2 wrt g?\nAnswer: 820*o**2 + 1222*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = g - 9. Let j = 128 - g. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (586*r + 12170 - 12170)*(6*r**2 + r**2 - 2*r**2).\nAnswer: 2930*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 - 1.5. Let j = -0.2 - -0.6. Suppose -7*u = -14*u - 21. What is the second smallest value in u, f, j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 f when three letters picked without replacement from {v: 4, s: 1, e: 4, j: 8, f: 2}.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.33 - 0.07. Let x = -0.1 + v. Let y be ((-6)\/18)\/(34\/12). Sort y, 0.4, x.\nAnswer: x, y, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -45, -98, -163, -246, -353, -490?\n\"Answer: -y**3 - 46*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2756\/13091)\/(2\/285)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 91220 and 820972\/9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 30\/150 - (-14)\/5. Suppose -m*p - p + 72 = 0. Calculate the least common multiple of p and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0 = 2. Let n(b) = -41*b - 1. Let q be n(o). What is the greatest common divisor of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + 1 + sqrt(1100) + sqrt(1100) - sqrt(1100))**2 + (sqrt(55)*-1*-6)\/(sqrt(80)*-4).\nAnswer: -3300 - 3*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.971657ml?\nAnswer: 0.004971657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 95, 0, -2, 3 in decreasing order.\nAnswer: 95, 3, 1, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 3 (b) -3\/47 (c) 0.2 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = -3*t + 69. Solve t*j - 84*j = 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 11) to base 13.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -5*m - 6178, -r + m + 2887 = -196. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2813.\nAnswer: 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + sqrt(112)) + sqrt(112) + 2 + -4 + (-5 + 0 + (sqrt(112) - (sqrt(112) + sqrt(112) + 0)))*2)**2.\nAnswer: 336*sqrt(7) + 4081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 2:26 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 - (33 + 11 + -125 - (11 + 10))?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*z**2 - 14*z**2 - 4*z**3 + 2*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12, 22, 30, 36, 40, 42?\n\"Answer: -y**2 + 13*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 4, 0, 93 in ascending order.\nAnswer: -4, 0, 2, 4, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((8\/(-4))\/((-4)\/2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/59507 or 0?\nAnswer: -1\/59507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-390)\/(-33) - 2\/(-11). Let 8*u**2 + 48*u - 18 - 28*u**2 - o*u**2 = 0. What is u?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -634 - -429. Let u = b + 380. Is 29 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 292167 - 205282. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7940 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -5246266*s + 1. Let x(m) = -21*m**2. Calculate p(x(o)).\nAnswer: 110171586*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -309, -312, -315, -318?\n\"Answer: -3*i - 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -10*q - 16. Let t be d(-2). Let g(y) = 3*y**2 + 6*y - 36. What is the smallest common multiple of 1 and g(t)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 9:20 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of 0*z**2 + 0 - 14*z - 17\/6*z**3. What is the tens digit of w(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*(5\/(-140)*2)\/((-50)\/375*-75)?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**4\/4 - 5*i**3 - 33*i**2\/2 - 286*i. Factor x(s).\nAnswer: 3*(s - 11)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 66336216 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 - 19381036*g + 19381036*g - 25*g**2 - g**3 as c*g**3 + h*g**2 + i + r*g and give i.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 9*p**3 - 34*p**2 - 17*p + 48. Calculate the least common multiple of (324\/(-5))\/((-1)\/10) and t(4).\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2450 + -9797\/4. Which is the fifth biggest value? (a) 0.2 (b) 3 (c) 4 (d) n (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 4\/3 (c) -1095 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 691629607.\nAnswer: 173, 3997859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3217*b + 2. Let c(h) = 1616*h - 1. Give -7*c(k) - 4*t(k).\nAnswer: 1556*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 4*t = -3 - 5, k + 3*t + 19 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11134*r**4\/7 - 656918*r**3\/7 + 708*r**2\/7 = 0. Calculate r.\nAnswer: 0, 6\/5567, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 15) to base 6.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 7*i - 4*i = -21, 2*k + 2 = -2*i. Let f(r) = 10*r**2 - r**k - 7 + 3*r**3 + 12*r - 3*r**3. Calculate the lowest common multiple of f(11) and 26.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -15*s**3 + 79*s**2 - 135*s + 49. Let k(j) = 5*j**3 - 26*j**2 + 45*j - 16. Let i(p) = -11*k(p) - 4*l(p). Factor i(q).\nAnswer: 5*(q - 4)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -119 - 2d?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1847761925.\nAnswer: 5, 23, 3213499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 21*q - 21*q + 47*q = 7*w + 23, 16*w = 2*q - 110 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 766093355 is divided by 191?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-45)\/8)\/(-5))\/((-15)\/20).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*u - 1 = 129. Let j = -27 - -24. What is the nearest to j in 4, 1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 666193896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**2 - 60*x**2 + 55*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -15 (b) 4 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33547*m - 7 - 2*m**2 - 3 - 33547*m.\nAnswer: -2*m**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -924608 and 0.5?\nAnswer: -462304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of 33*v**6\/10 - 155*v**4\/6 + 77*v - 3. Find the third derivative of f(y) wrt y.\nAnswer: 2376*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w + 0*w = -2816. Is 44 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -131*t + 1. Let z be n(-1). Let y be -1 + (z\/(-39))\/(-4). Which is the smallest value? (a) y (b) -3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3640\/195)\/(3\/2). Which is smaller: j or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 88\/3 - 30. Let l be (-3)\/5*(-2)\/3. Sort -2, l, f in descending order.\nAnswer: l, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 479, 1932, 4355, 7748, 12111, 17444, 23747?\n\"Answer: 485*w**2 - 2*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of 7*j**2 + 5\/24*j**4 + 0*j**3 + 0*j**5 + 0 - 1\/35*j**7 + 0*j**6 + 0*j. What is the second derivative of y(u) wrt u?\nAnswer: -72*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-3*(sqrt(343) - (0 + sqrt(343))))**2 + 4 + (sqrt(35) + 6*sqrt(560))\/((-2*sqrt(45))\/sqrt(9))).\nAnswer: -50*sqrt(7) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3595347*t**2 + 1797748*t**2 + 1797601*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10024000 a multiple of 928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnt when three letters picked without replacement from {t: 11, n: 5}?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -6*j. Suppose -288 = -5223*o + 5214*o. Let z(i) be the third derivative of 17\/24*i**4 + 0 + 0*i - 1\/6*i**3 - o*i**2. Give 11*h(w) + 4*z(w).\nAnswer: 2*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**5 - 13*h**4 + 29*h**3 - 15*h**2 = 0.\nAnswer: -15, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6482 take away 12?\nAnswer: -10.3518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -26, -18, -6?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1843904 is divided by 2355.\nAnswer: 2294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*t + r + 51, -3*t + 5*r - 61 = 0. Let c be -5*(84\/10)\/3. Let z = c - t. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 84 = 2*f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 8*i + 8. Let c be y(-1). Suppose c = -2*w - w + r, -w - 3*r = 0. Solve 8 = -3*f - w*m + 5*m, -3*f - 2*m + 20 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5181 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-9) - (-10)\/45?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {c: 4, x: 3, g: 6}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -18\/59 (b) 5 (c) 2\/9 (d) -0.0193 (e) -0.4 (f) -4 (g) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 4*g**2 - 12*g. What are the prime factors of n(-5)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of t**6 - 2*t**5 - 8816*t**3 + 5*t**2 - 112*t - 2 wrt t.\nAnswer: 120*t**3 - 120*t**2 - 52896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 0)*5 + 0.\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + 3*c - 5*c)*(-4 + 3 - 1)*(-1 - 2 + 5)*(6 - 3 - 2 + 1 - 1 + 1 + (-4 + 6 + 0)*(-3 + 0 + 1) + 2 + 0 + 0 + 4 + 0 - 6).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 + 22 = 5*t. Let m(w) = 19 - 2*w + 3 + w + 3*w - 6. Calculate m(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a kilogram in grams?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.1 + -0.1. Let q = r - 6. Suppose -12 = -8*b + 5*b. What is the nearest to -0.1 in 0.5, q, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 10 - 13. Let f(c) = 6 + h - 2 + 3*c. Let y(g) = -g - 2. Calculate 3*f(i) + 8*y(i).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -3 + 15 + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.7 - -0.7. Let q = x - -2.8. Let d = -41 + 41.3. What is the nearest to -1\/4 in d, 5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*t - 235082 = -23627. List the prime factors of t.\nAnswer: 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -462189860 divided by -6644?\nAnswer: 69565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1137665708 to the power of 1\/2, to the nearest integer?\nAnswer: 33729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -d**6\/120 + d**3\/6 - d**2. Let n(m) = 13*m**3 + m**2 - 1. Let y(s) = f(s) + n(s). Give y(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**2. Let k(j) = -22812*j - 8366. Calculate k(c(q)).\nAnswer: 45624*q**2 - 8366","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*u - 2 + 45*u + 20*u)*(0 + 1 - 2)*(u - 2*u - u).\nAnswer: 172*u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20569557.\nAnswer: 3, 167, 41057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, b: 4, k: 8, v: 3, n: 1}. What is prob of sequence be?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10976?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**2 - 9*s + 2. Let w be q(3). Let t be (0 - -5 - w) + -4 + -1. List the prime factors of 51\/(t\/(-4)*3).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) - (sqrt(143) + sqrt(143) + (sqrt(143) - ((sqrt(143) - sqrt(143)*1) + sqrt(143)))*-4 + sqrt(143)))\/(sqrt(132)\/(sqrt(60)\/sqrt(5))).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 14*l. Let n(o) = 5*o - 3*o - 2*o - 2*o**2. Calculate n(b(c)).\nAnswer: -392*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1630\/11 - 148. Let u = -56 + 496\/9. Which is the third smallest value? (a) t (b) u (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + z = 203995, 22*z + 25 = 17*z. What is y rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -89 (base 12) to base 6.\nAnswer: -253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 54*j**3 + 4*j + 4. Calculate o(-1).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 13*u + 9. Let x be j(-12). Calculate the greatest common divisor of 84 and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -521.5*-1.9\nAnswer: 990.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 231 and 13937?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.6 - 0.4. Let m = 1.1 - 0.1. Let x = 0.008 + -0.008. What is the closest to a in 3\/5, m, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at least as big as -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*h + 30 = 26*h - c, -1 = -h - 3*c for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 237*w + 220*w - 426*w + 6 + (-5*w + 2*w + 0*w)*(0 - 2 + 0) - w - 4*w + 4*w.\nAnswer: 36*w + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.01, 6\/7, 2\/29 in increasing order.\nAnswer: 2\/29, 6\/7, 1.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*l + 352 = -28*l. Suppose -4*p + 6 = -6, 2*v - 2*p - l = 0. Calculate the remainder when 151 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -371, -835, -1485?\nAnswer: -2321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.1 + 1.1. Let s = 7 + f. Let x = 11 - 16. Which is the biggest value? (a) x (b) s (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 704126495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z - 1. Let y be r(-1). Suppose y*x = -2*x + 150. Suppose u = -u + x. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3600 + -4?\nAnswer: 3585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78 and 28?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of l**4\/24 - l**3\/2 + 8*l**2. What is b(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12211101100202 (base 3) in base 9?\nAnswer: 5741322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*v - 5*f, 0 = f - 7 + 11. Solve -v*c + 4*p = 4, -3*p + 1 = -c - 2*p for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 6:16 AM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3*a + 22 - 28 = 0, 0 = -3*p - 5*a - 1. What is the derivative of -14*g - 9*g + 43*g + 3*g**2 - 278 - 20*g + g**p wrt g?\nAnswer: 3*g**2 + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-86921)\/14*21\/18. Let u = -7252 - o. Let x = -5563\/24 - -1899\/8. Find the common denominator of u and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -w**3\/3 - w**2 + 6*w + 8. Let h be q(0). Put -1, 5, 1, h in descending order.\nAnswer: h, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 11:59 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-11))\/l**(-2\/31) assuming l is positive.\nAnswer: l**(-308\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2852145, -2852066, -2851987, -2851908, -2851829, -2851750?\n\"Answer: 79*a - 2852224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrtb. What is prob of sequence brt?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 495*z + 25502. Give c(-47).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001631 to 6 dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 7011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4321349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5506977 divided by -786711?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/7 + 755\/35. Suppose 2*u + t = 4*u. Find the second derivative of u*v - 4*v**2 + 3*v**2 - 4*v wrt v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104032240 (base 5) in base 6?\nAnswer: -13431544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 4*s**2 - 1. Suppose -k + 1 = -3. Let a be ((-8)\/(-20))\/(1\/(45\/6)). Let i(u) = -u**3 + 5*u**2 + 2. Calculate a*i(w) + k*l(w).\nAnswer: w**3 - w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2558*u + 2594*u - 180 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2. Let i(g) = -786210*g**2 + 14454*g + 2409. Let n(u) = 653*u**2 - 12*u - 2. Let f(w) = 2*i(w) + 2409*n(w). Calculate f(a(y)).\nAnswer: 657*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -11*w**5\/5 + w**3\/3 + 94*w + 105. Differentiate g(p) wrt p.\nAnswer: -44*p**3 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o + 5*c - 4 - 4 = 0, -3*c + 1075 = -3*o + 1036 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffw when three letters picked without replacement from frwxcjrjcfccwwwrfx?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**5\/20 - a**4\/4 + a**3\/3 + 33*a**2\/2 - 1336*a - 1. Give j(0).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.7 + -0.001.\nAnswer: -4.701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 - 13)*(o - 8 + 11 - 5*o).\nAnswer: 60*o - 45","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s - 8107*s**2 - 17669*s**2 - 2050*s**2 to d + h*s + y*s**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(2) + -5 + -3*sqrt(4)\/sqrt(2) - sqrt(10)\/(sqrt(500)\/sqrt(4) + sqrt(5))) + -4)**2 + 3 + -1.\nAnswer: 130*sqrt(2)\/3 + 2005\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*t - 1 = 4*v, v = -t + 3. Suppose -2*z = v*z + 12. Is (244\/(-6) + z)*-3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence thth when four letters picked without replacement from tttttthtthttthtt?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*i**2 - 117*i**3 - 14*i**2 + 125*i**3.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -32082531 divided by -5811\nAnswer: 5521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -947.13 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 473486147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 5:59 AM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/10)\/(-1*(-5)\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7116 and 319503656.\nAnswer: 2372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*j - 15*j + 148 = 0. Put 2, j, -75 in increasing order.\nAnswer: -75, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4595783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -2\/7, 158267, -1, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + ((-40)\/(-30))\/(1\/30). Let j be ((-9)\/(-2))\/(3\/6). What is the greatest common factor of j and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 97062561 and 3.\nAnswer: 97062564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.5859237 centuries?\nAnswer: 5.859237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-306)\/(-17))\/3)\/((-9)\/2)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d + 15. Let s be m(-17). Suppose -2*r + s = 53. Suppose 2*b = 4*a - 62, 2*b + 7 = -2*a + 29. Which is smaller: a or r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 128 and 1025344?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 10235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3\/5 - 572*z**2\/5 + 4904*z\/5 - 2144.\nAnswer: 4*(z - 134)*(z - 5)*(z - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 2:58 AM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 42\/6 + -5 - -1*1. Suppose 0*u + 5*j = -t*u - 341, -563 = 5*u + 3*j. Which is the second biggest value? (a) u (b) 2\/7 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 534, 1064, 1598, 2136, 2678, 3224?\n\"Answer: 2*n**2 + 524*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 15, 2*q = 2*w - 0*w - 9932. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 - -63. Suppose -3*b + q = -2*b. Suppose 0 = 3*n + 12, 0*s - 4*n = 2*s - b. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4058 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.172 - -315.828. Let s = -315.99999492 + z. Round s to 7 decimal places.\nAnswer: 0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 194214806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f8865 - -3?\nAnswer: -f8862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 21*v + 86. Does 6 divide i(-26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -u**4\/3 + 4*u**3\/9 + 21. Factor x(t).\nAnswer: -4*t**2*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -u**5 - 5301335*u**3 + 3*u**2 + 58*u + 12560?\nAnswer: -60*u**2 - 31808010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1820495 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c. Let g(m) = 5*m**2. Calculate d(g(i)).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 58 + 8 + 21 - 42\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8337 by 2.\nAnswer: 8337\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*m**2 - 3*m + 3*m)*(5*m**2 + 12*m**2 - m**2) + 2 - m**4 - 2 + (-2*m + 0*m + m)*(4*m**3 - 5*m**3 + 3*m**3) - m**4 - m**4 + 0*m**4.\nAnswer: -149*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -190\/9 and -621495 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 40504 - -364?\nAnswer: 41201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.078 times 0.0163\nAnswer: -0.0012714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 6:41 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h + 22 = -11*h. Let i = -11 - -15. Let m = 8 + i. What is the least common multiple of h and m?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 5*p**2 + 6*p. Suppose -5*b + b = 3*n - 17, 4*b - 4*n = 24. Is a(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65494 + 275959. Suppose 45*y - p = 18*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-320)\/50 - (1 + 7\/(-1))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2624*y - 4550 = -2*f + 2619*y, 3*y = -24. What is the remainder when f is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/45 + (53\/15)\/((-154)\/42)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 466*l**2*y**5 + l**2*y**3 + 4*l**2*y - 29*l**2 wrt y.\nAnswer: 9320*l**2*y**3 + 6*l**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -9 (b) 20351 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2251 = -42*l + 949 for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6425218397?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 14*b - 98 = -2*b for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 + 32. Find the common denominator of b and (-308)\/(-186) + 4\/(-12).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/39*2 - (-16)\/24.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1170195105.\nAnswer: 3, 5, 78013007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j - 24 = -3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, 2.95, -10\/7, 1, -4, 0.11, 6\/13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 11215*i**3 - 5*i**2 - 25*i - 4. Let h(f) = 16823*f**3 - 8*f**2 - 40*f - 6. What is 5*h(u) - 8*z(u)?\nAnswer: -5605*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -133*q**3*v**2 - 1236*q**2*v**2 - 1854*v**2 + 6 wrt q.\nAnswer: -399*q**2*v**2 - 2472*q*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (-14 - -19) - -22?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 3. Let w be l(3). Let q(n) = 1. Let j(i) = -2*i**2 + 5. What is w*q(h) - j(h)?\nAnswer: 2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 47215935 to the power of 1\/2, to the nearest integer?\nAnswer: 6871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 102819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + -3 + 4\/8*2. Suppose o + 766 = 2*p, -w*p = 2*o + 3*o - 1560. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 467197704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 + 19 - f - f**3 + 2*f**3 in the form b + l*f + x*f**3 + g*f**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 546 equal to -103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*d = -369*d - 297*d + 14796 for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -10524?\nAnswer: 1\/3508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00175450206 to six dps.\nAnswer: -0.001755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0\/z)\/z)**39\/(z**(2\/3)*z)**(1\/3) assuming z is positive.\nAnswer: z**(-707\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/(8\/(-6))*6\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30337 is divided by 740.\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -1542415324?\nAnswer: -1542415320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 807 = 2*k. Let h = k + -136. Is 30 a factor of (h\/(-12))\/(3\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 - -14. Is (15\/(-4))\/(4\/u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 197.4 - 37.4. Let y = q - 154.94. What is y rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13\/35 + 8\/35. Suppose 6 - 3 = 3*s. Let o be (0 - s\/(-1)) + -2. What is the closest to o in h, -1\/5, 1\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -5*y + y**2 - y**2 + 2*y + 16 + 12*y**2. What is the hundreds digit of g(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 10*f + 4. Let p be y(-10). Suppose p*o = -o + 28000000. Round o to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -157, -118, -77, -34, 11?\n\"Answer: n**2 + 36*n - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 3:05 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 6*s**2 + 5*s + 14. Determine l(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 6*a - 3*a + 3*a - 7*a. Let v(r) = 38*r. Calculate k(v(i)).\nAnswer: -38*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 4*h**2 - 16*h + 16. Let j(q) = -q**2 - 2. Let r(p) = a(p) + j(p). Let c be r(-6). Solve f = -3*z - 3, -z = -c*z - 3*f - 9 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*l**2 - 11*l**2 - 980 + 1955 - 2552 + 309*l with respect to l.\nAnswer: 10*l + 309","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s**2 + 67*s + 1537. Calculate l(38).\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1163 - -1163.11. Which is the nearest to -2? (a) 0.3 (b) 12 (c) g (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15375 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1804233378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 12*d + 3. Suppose -v - 3*v + 24 = 0. Does 25 divide f(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -208897.944 rounded to the nearest 10000?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 206?\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**8\/s**(2\/3)*(s\/((s*s*s*s**(-2))\/s))\/((s*(s\/(s\/(s*s**(-1)*s)))\/s)\/s) assuming s is positive.\nAnswer: s**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2. Let v(m) = 21022*m. Give r(v(y)).\nAnswer: -441924484*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 4 (b) 5\/28 (c) 11.2 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 18*f - 15. Let n be q(19). Suppose -6\/5*o**2 + 0 + 0*o + 9\/5*o**3 - 3\/5*o**n = 0. What is o?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10680 and -2.\nAnswer: 21360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 3*o - 4. Let i be u(3). Suppose -d + 2 = -14. Calculate the remainder when (-75)\/i + 4\/d is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 123*z**5 + 5736*z**4 - 10725*z**3 - 121818*z**2 + 281880*z - 86400 = 0.\nAnswer: -48, -5, 15\/41, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -57*u**2 + 57*u**2 - 8*u**3 + (2*u**2 - u**2 - 2*u**2)*(0*u - 7*u - 2*u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1))**(-50)*((k\/(k\/(k**11*k))*k)\/k*k)\/k**(-2\/3) assuming k is positive.\nAnswer: k**(41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o - 197. What is q(38)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*c**3 - 3*c**2*i + 5*c*i + 64*i wrt c.\nAnswer: -45*c**2 - 6*c*i + 5*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 905839630 to the nearest integer?\nAnswer: 30097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/5 + 98*y**2\/5 + 809*y\/5 + 712\/5.\nAnswer: (y + 1)*(y + 8)*(y + 89)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -19449, -77699, -174747, -310593, -485237, -698679, -950919?\n\"Answer: -19399*m**2 - 53*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5*-0.25135\nAnswer: 1.25675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, x: 1, w: 1, l: 1, r: 3}. What is prob of picking 2 r, 1 w, and 1 f?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -2 (b) 2 (c) 5\/4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 14 + -11 + 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01 + -0.09. Which is the biggest value? (a) 0.1 (b) -0.4 (c) -3 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**5\/13 + 1298*l**4\/13 + 3912*l**3\/13 + 8*l**2\/13 - 5216*l\/13 = 0.\nAnswer: -2, 0, 1, 652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -3 (c) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 - 69*b - 110*b**2 + 67*b - 64.\nAnswer: -110*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/24)\/(3\/1)*2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/(-10))\/((-3)\/(-10)). Let h(u) be the third derivative of u**6\/120 - u**5\/15 - u**4\/8 + u**3\/2 - 19*u**2 + 8. Give h(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/(-10) - (-18249)\/165. Calculate the highest common divisor of 528 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - 300?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 6*r**3 - 6*r**2 - 17*r + 30. Is 36 a factor of m(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46810410.\nAnswer: 2, 3, 5, 103, 15149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -21. Let i = j + -17. Let a = -42.6 - i. What is a rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*g**2 - 7*g**2 + 21 - 4*g**2 - 2*g**2 + 24*g**2.\nAnswer: -4*g**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3.442429 centuries?\nAnswer: 344.2429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 0 + 1\/20*f**5 - 4\/3*f**3 + 37*f + 1\/2*f**4 + 0*f**2. Calculate c(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -m - 1195, 5*b - m - 1185 = 2*m. Suppose -4*h + 3*v = -b, 0 = 5*h + 5*v - 0*v - 335. What is the highest common divisor of h and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a + 20*a = 960. What is the common denominator of 0 - 4 - -4*88\/a and 62\/3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/h**15*h*h*h*h*h**13*h*h\/(h**(-2\/11)*h)*h*h**(-5) assuming h is positive.\nAnswer: h**(13\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 328754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -4*x**2\/5 + 8*x - 84\/5 = 0.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -5*d**3 - 8*d**2 + 6*d + 3. Let p(j) = -3*j**3 - 5*j**2 + 4*j + 2. Calculate 5*n(o) - 8*p(o).\nAnswer: -o**3 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19094 (base 16) in base 6?\nAnswer: 2110432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1588.701 times -0.3?\nAnswer: -476.6103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 511*n**5\/5 - 102*n + 380. Differentiate v(t) with respect to t.\nAnswer: 2044*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + q + 21 - 160, 6 = -3*q. Suppose -i + f = -5*i + 198, 4*i - 4*f - 188 = 0. What is the remainder when x is divided by i?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 42\/(-14)*4\/(-3). Let h = 1727 - 1722. Solve -2*m - w*b = -5*m - h, 0 = -2*m + 2*b for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-2))\/(288\/(-432))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002167175 rounded to five decimal places?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1431.6 + -1434.6. Sort 0.06, 0, i, -6, 7 in descending order.\nAnswer: 7, 0.06, 0, i, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -5*u + 13. Let d(n) be the second derivative of -n**3 - 706*n. What is d(s(a))?\nAnswer: 30*a - 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*x + 13. Let o(q) be the third derivative of q**6\/120 - q**5\/60 + q**4\/24 - q**3\/6 + q**2. Calculate the remainder when 14 is divided by o(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*s + 2123 = 5*l, -3*l - 3*s + 2130 = 0. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32053.8 rounded to the nearest one hundred?\nAnswer: -32100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -20, -3*h - 12*k + 14*k + 35 = 0. Let s be (h\/4)\/(87\/(-12) + 8). Factor -10\/7*l**s + 0 + 20\/7*l - 46\/7*l**2.\nAnswer: -2*l*(l + 5)*(5*l - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**3 + 72*z**2 - 71*z + 111. Let s be g(-37). Solve s*j + 2 = -4*a + 2*j, -3*a = 4*j + 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92625 and 10530.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**3\/8 + 219*s**2\/4 = 0.\nAnswer: -438, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 3*q**5\/20 + q**4\/3 - q**3\/3 - q**2 - 4*q. Is b(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6164050938?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -143\/5 (b) 0.5 (c) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*c**3 + 8*c**3 + 13*c**3.\nAnswer: -21*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -85038456 smaller than -510230735\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 548 and 55361426.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7545 - -7486. Let z = -11.59026 + 70.58996. Let n = z + v. What is n rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s + 7. Let n be 12\/8*(6 - 4). Let o(q) = -5*q + 20. Give n*o(m) - 8*b(m).\nAnswer: m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyjyjjyjyyyjjjjj. What is prob of sequence yyj?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202673 - 58833 = 29*z. What is the greatest common factor of z and 124?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -197 - -218.04. Let k = 21 - n. Which is bigger: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 731864 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1129836175?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 137242282 minus 2?\nAnswer: 137242280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*((-353122)\/114 + (-44)\/418). What is i rounded to the nearest 100?\nAnswer: 9300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -1\/8, -6718, 0.2, -5, 0.05?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1465512 is divided by 68?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1495?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g**3 - 7*g**2 - g + 3. Let w(b) = -5*b**3 - 13*b**2 - 2*b + 5. Give 7*j(f) - 4*w(f).\nAnswer: -f**3 + 3*f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 86c51 + -4?\nAnswer: 86c4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 26, 85, 188, 341, 550, 821, 1160?\n\"Answer: n**3 + 16*n**2 + 4*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -j + 3, 3*j - 7 = -k. Suppose 62 = 5*q + h, 59 = k*q - h + 4. What are the prime factors of q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**2\/3 - 137*b\/3 - 90 = 0.\nAnswer: -135, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*z = 167*z - 3*c - 4, -4*c + 16 = 0. What is the lowest common multiple of 288 and z?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19.6 - 1.6. Let j = 18.000003 - u. What is j rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.06, -6\/7, 3 in decreasing order.\nAnswer: 3, 0.3, 0.06, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -12.02+-4488990\nAnswer: -4489002.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -10. Suppose -4*g - 437 = 3*z + 2708, -5*g + p*z - 3965 = 0. Round g to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -191901*b**4 - 7970931*b**2?\nAnswer: -4605624*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**5 + 242*c**4 - 5080*c**3 + 9438*c**2 - 4599*c = 0. Calculate c.\nAnswer: 0, 1, 21, 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/9264336 and -113\/48?\nAnswer: 9264336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 758 and 2320238.\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c + 127. List the prime factors of v(0).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-42)*(-3)\/4.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 19, 38 in descending order.\nAnswer: 38, 19, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 15 = 2*s. Suppose g - 3*j - 12 = -2*g, 2*g = -4*j + s. Solve g*d - i = 17, 5*i = 3*d + 2*i - 24 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b54 + 0?\nAnswer: -1b54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (717*h - 10 + 74*h - 12 + 22)*(-146 - 38*h + 146).\nAnswer: -30058*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.06*-74164017\nAnswer: -4449841.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -840 = -5*x + 90*x + 20*x. Let q(v) = 6*v + 57. Give q(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8185, 16273, 24361, 32449, 40537, 48625?\n\"Answer: 8088*i + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -191, -168, -131, -80, -15, 64, 157?\n\"Answer: 7*f**2 + 2*f - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29324, 29325, 29326, 29327?\nAnswer: 29328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2442, 2505, 2610, 2751, 2922, 3117, 3330, 3555?\nAnswer: 3786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 2*g**3\/3 + 14*g**2 + 26*g - 50. Let f be w(-13). Let m(o) = -o**3 - o**2 + o + 8. Determine m(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2096992 divided by -8?\nAnswer: -262124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -313 - -313. Suppose 3*y = 2*k - 7*k - 5, 4*k - 4*y - 28 = a. Solve k = -i - i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1348*f - 130*f - 56313 - 45853 - 5018 for f.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, -0.06, 0?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/(-55))\/(22*(-5)\/50)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 58\/18 - 10\/45. Let w(l) = -2*l**2 - 10 + l**o + 15 + l**2 + l. What is the remainder when w(4) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -5*u - 2. Let l(w) = -w. Let a = 4 - 3. Let d(t) = a*q(t) + 2*l(t). Does 4 divide d(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 9 = 3*n, 6*y = -3*n + 10*y - 27 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/2*(-580)\/522. Solve 7 = 5*i + 5*y - 3, 0 = w*i - y - 16 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 28788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of t**5\/20 - 11*t**4\/12 + 3*t**3\/2 - 13*t**2\/2 + 688*t - 3. Determine s(11).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.9 - -0.1. Let m = 47 + -43. Which is the closest to j? (a) m (b) -0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 325869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minus -32102630315?\nAnswer: 32102630335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, s: 3, v: 5, r: 6, e: 2, a: 3}. What is prob of picking 1 a and 1 s?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: a52ab (base 14) to base 2\nAnswer: 1100001010001010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*x - 28. Let a = x - 20. Let y be (1\/(-3))\/(4\/12). Put 6, y, a in decreasing order.\nAnswer: 6, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -3*f - h + 2, 105 = 5*f - 5*h. Calculate the remainder when 87 is divided by f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116, 989, 3362, 7985, 15608, 26981, 42854, 63977?\nAnswer: 91100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + (sqrt(2) - sqrt(6)\/sqrt(3)))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1 - -1) + -8 - -1) + (3 - 6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7564*s - 7750*s + 2604 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2160413551+-0.5\nAnswer: 2160413550.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of 1\/8*x**4 + 0 + 1\/6*x**3 + 0*x + 5*x**2. Let l be j(1). Calculate the greatest common divisor of 28 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246.1905 tonnes in micrograms?\nAnswer: 246190500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbb when four letters picked without replacement from {n: 1, b: 7, z: 5}?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 a factor of 12589572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*a = -183*a - 2976 + 829 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 10*d + 2. Let j be b(10). Let y be (-1)\/1 - j*-8. Suppose 4*r - y = 113. Is 16 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 138, 464, 980, 1686, 2582, 3668?\n\"Answer: 95*j**2 + 41*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 2*-3 + -2. Let p be ((-2)\/3)\/(3\/c). Let j = p + 2. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0 = 6. Let u be (-20)\/8*(-24)\/20. Differentiate z - u - 1 + y with respect to y.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -225865, -225870, -225849, -225802, -225729, -225630, -225505?\nAnswer: -225354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34.74 - -31.8. Let d = o - -3. Let k = 0.05999995 - d. What is k rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/144*-8)\/(1\/6).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 1:27 AM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = 136*y - 694. Solve -4*s - 51 = -5*d - 23, -4*s - y*d = -8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 345*m**3 - 5*m**2 + 21*m - 17. What is the remainder when b(1) is divided by 36?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 4565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 131546094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 87573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1664)\/(-64)*296\/962?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u**2 + 42*u + 26. Let t(w) = -2*w**2 - 22*w - 15. Calculate 3*m(b) + 5*t(b).\nAnswer: 2*b**2 + 16*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 344, 448, 610, 830, 1108, 1444, 1838?\nAnswer: 2290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4130 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2*f = -0*f - 8, -4*j = 5*f - 14. Let g be -3 + 0 - 3\/j. Let d be ((-2)\/g)\/((-1)\/(-27)). Solve 4*o - 4 = 3*a + d, 4 = o for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 124 and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n + 1 - 1)*(2*n**3 - 1 + 1) + (194*n**2 - 194*n**2 + 25*n**3)*(-2*n + 3 - 3) to g + x*n**4 + p*n**2 + d*n + i*n**3 and give x.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/((-110)\/4) - 32\/(-105).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -154, -1208, -4070, -9646, -18842, -32564?\n\"Answer: -151*p**3 + 2*p**2 - 3*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21 and 0.76?\nAnswer: 15.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/6 + 116\/12. Suppose 0 = 2*q + 6, 7*h - 2*h - 2*q = 16. Solve -4*r - 2*w + 5*w - 16 = 0, h*r = -3*w + n for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.64 - 15. Let n = -0.68 - l. Round n to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 162 and 585198.\nAnswer: 1755594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -847329 divided by 7\nAnswer: -121047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 2*t + 126, 0*t + 268 = 2*u - 4*t. Let s be (-1 - -1)*65\/u. Solve -5*p - 20 = -s for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3494.7124 and 22.\nAnswer: 3516.7124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 294\/84*(-3660)\/122?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 61*i - 203. Let y(q) = -3*q**2 - 173*q - 609. Give 17*g(t) - 6*y(t).\nAnswer: t**2 + t + 203","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -454*w - 3 + 3 + 529*w - 5*w - 41*w - 31*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) + (sqrt(15) - (sqrt(15) - sqrt(405)\/sqrt(3))))\/((sqrt(150)\/sqrt(5))\/sqrt(6)).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 184*s**4 - 189*s**2 wrt s?\nAnswer: 4416*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c - 2258*c**3 + 2217*c**3 + 4*c.\nAnswer: -41*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 108*b**2 - 4.\nAnswer: -108*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*z + 2443, -3*z - 2*z + 4*i = -2452. Let f = 898 + z. Suppose -13*w = -24*w + f. Is 18 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1237*i**4 + 64025*i**3 + 157893520 wrt i?\nAnswer: 4948*i**3 + 192075*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 + -0.1. Which is the third smallest value? (a) 0.5 (b) 4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x - 1. Let n(q) = -104*q**2. Calculate n(d(t)).\nAnswer: -104*t**2 + 208*t - 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kzk when three letters picked without replacement from gkpzkg.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*6*(sqrt(153) + (sqrt(153) - 1*sqrt(153)*3))**2 + 1*(sqrt(17) + (sqrt(425) + 1)**2 + -5 + 0).\nAnswer: 11*sqrt(17) + 5929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 7*v**2 - 6*v + 1. Let r be z(6). Let x = 7.3 - 7.9. Let s be (64\/800)\/((-1)\/5). What is the closest to r in x, s, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1969 is divided by 236?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 703920 divided by 12570.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0*r = -3*r - 91, 4*r + 114 = 5*q. Let c(k) = -k**2 + 2*k - 4. Let t be c(4). Let x = q + t. What is the remainder when x is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -880 - 10c?\nAnswer: -98c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17.3 + -44.3. Let i = 0.4 + 0.3. Let c = i + -3.7. Sort l, 0, c, -1 in decreasing order.\nAnswer: 0, -1, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -471*c**2 - 37*c - 21. Let m(d) = 235*d**2 + 18*d + 10. Let n(r) = -6*l(r) - 13*m(r). Find the second derivative of n(w) wrt w.\nAnswer: -458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39+-13122120\nAnswer: -13122081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 7*r - 25. Let q be (-20)\/30 + 34\/6. What are the prime factors of a(q)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*f - 1044 = -32*f - 9*f for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + 3. Let o be ((-80)\/j)\/((-2)\/(-6)). Is 2\/(-3)*390\/o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 196 - 192. Solve -3*l = y - 7 - 9, 0 = d*l - 2*y - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5300308916.\nAnswer: 2, 7, 9743, 19429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -5. Let r = -6 - j. Suppose 32 + 36 = r*m. What is the greatest common divisor of 17 and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3673 + 36710266.\nAnswer: 36706593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 2*b + 2. Let n be x(7). Let q = -1 - n. Suppose 10*l - 522 = 418. Calculate the remainder when l is divided by q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 5*n**2 - 4*n - 3. Suppose 12*m + 28 = 19*m. Calculate l(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 3. Let n = f - 7. Let a = -8 - n. Solve -5*u - 4*o = 9, 0 = -2*u + 4*u - a*o + 30 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 4*i + 142, w + 0*i + 4*i - 58 = 0. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4069 - -4069.0003674. What is x rounded to 5 dps?\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -5 (b) 5 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12997, -51843, -116587, -207229, -323769?\nAnswer: -466207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t + 3*t + 215 + 2*t + 12*t + 3*t.\nAnswer: 28*t + 215","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 k when two letters picked without replacement from vuiveuke.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 - 1)*(-t + 2 - 2)*(4 + 3 - 12) to the form l + m*t and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 6258*r**2 - 5645*r. Let y(b) = 2*b**2 + b. Let j(u) = -t(u) - 3*y(u). Find the second derivative of j(z) wrt z.\nAnswer: -12528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2. Let l(p) be the third derivative of -p**8\/20160 - p**5\/20 - p**2. Let y(u) be the third derivative of l(u). What is t(y(i))?\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7417 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35228*q**3 + 5 - 70453*q**3 + 35233*q**3.\nAnswer: 8*q**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + (sqrt(132) - (sqrt(132) - 2*sqrt(132)*-4)))\/sqrt(12)*5.\nAnswer: -35*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 361 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 398 divide 6004228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.231 + -0.031. What is the nearest to y in 5, -17\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*n - 77611 = 0, -a + n = -2944 - 12578. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**5\/30 + 100*h**2. Let r(b) be the second derivative of -11\/3*b**4 + 3*b + 0 + 0*b**3 + 0*b**2. Give r(a(l)).\nAnswer: -176*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + f = -2*f - 60, 0 = -o - 53*f + 49*f - 83 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5*d = -0*h + 32, -2*h + 58 = 4*d. Let n(g) = -g**3 + 29*g**2 + 4*g - 23. Is n(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/412225 and -159\/26950.\nAnswer: 40398050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17818 - -19267. What is the greatest common divisor of 14 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -8. Let z(f) be the third derivative of 0*f**3 + 1\/60*f**g + 0 + 0*f**4 - 1\/40*f**6 + 0*f - 2*f**2. Find the third derivative of z(o) wrt o.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 13*o + 93. Let z be y(-8). Let l(i) = i**2 + 11*i + 6. Give l(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108848 is divided by 332?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -n**5\/5 - n**4\/3 - 20*n**2 + n - 14. What is the first derivative of w(d) wrt d?\nAnswer: -12*d**2 - 8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1073*b**3*g**2 + 3*b**3 - g**2 - 927*g wrt b?\nAnswer: 3219*b**2*g**2 + 9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -229720 (b) -2 (c) 1 (d) -0.1 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 28, 85, 182, 325, 520, 773?\n\"Answer: d**3 + 14*d**2 + 8*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l - 83*p + 432, 36 = -2*l + 62*p - 63*p for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/272460 and -27\/140?\nAnswer: 1907220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-9)*(-225)\/(-150))\/(-184)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -24. Let n be 44 - (-2 + 1) - 2. Suppose -111 = -2*r + n. What is the greatest common divisor of r and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -487572797, -975145596, -1462718395, -1950291194, -2437863993?\n\"Answer: -487572799*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 5*b + 36, 86 = 5*m - b - 3*b. Calculate the smallest common multiple of 8 and m.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 8*v + 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*a**5 - 14576*a**3 - 5*a**2 + 12957524*a wrt a.\nAnswer: -400*a**3 - 87456*a - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 35.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a factor of 27058304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 27\/7, 0.96, -3\/2?\nAnswer: 0.96","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 47 - 57, -6*n - 3*r = -n - 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1158725 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 561 is divided by 78.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 551*y + 554*y - 36 in the form f*y + v and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -84, 2, 5, -2, 18 in increasing order.\nAnswer: -84, -3, -2, 2, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*b**2*j**2*n + 36*b**2*j*n**3 + 544*b**2*j*n**2 + 333*b*j**2*n**3 - 34*b*j**2 - 6*b*n**3 wrt j.\nAnswer: -58*b**2*n + 666*b*n**3 - 68*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-321)\/(-45) - 2\/15. Suppose -13 = -5*t + a. Sort t, -3, 5.\nAnswer: -3, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z + 181 + 184 + 110 - 297 to i + b*z and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 0*b**3 + 0*b - 1\/24*b**4 + 1 + b**2. Let g(o) be the second derivative of f(o). Calculate g(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 189, -4, 186 in descending order.\nAnswer: 189, 186, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(160))\/(2*2*sqrt(2)) - (sqrt(540)\/sqrt(3) + 6*sqrt(40)\/sqrt(2))**2.\nAnswer: -1620 - 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89538?\nAnswer: 2, 3, 14923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 34911989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, h: 1, j: 1, z: 1}. Give prob of picking 2 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11453 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 4. Let l be j(-5). What is the tens digit of l*-10*1 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -14314.\nAnswer: -1\/14314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2809074173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1109399, -1109397, -1109395, -1109393, -1109391?\nAnswer: -1109389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 39, 141, 311, 549, 855, 1229, 1671?\n\"Answer: 34*p**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -556*s + 19461. What is a(35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 3*b - 909 = -921, 5*h = 2*b - 27 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 21540, 84838, 189898, 336720?\n\"Answer: 20881*h**2 + 655*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 40\/(-16)*132\/(-15). Let d = s + -18. Put 3, d, -5 in decreasing order.\nAnswer: d, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/(sqrt(36)\/sqrt(6)) + sqrt(15))\/(4*sqrt(3)*3).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -137 + -1. Let i = -96 - x. What is the remainder when i is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 32770, 34537, 37478, 41593, 46882?\n\"Answer: 587*o**2 + 6*o + 32177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5764 + 2877 + 2887 + 2*r**3 + r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -10. Let y = 3 - f. Let h(p) = 16*p**3 - p**2 - 15*p**3 + 2*p + y*p**2 + 1. What is h(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1573 - 3128. Round w to the nearest 10.\nAnswer: -1560","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 14) to base 13.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 9*z + 1. Let y(n) be the third derivative of -n**4\/24 + n**3\/6 - 1544*n**2. Determine t(l) + 6*y(l).\nAnswer: 3*l + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0579 + -41410.7.\nAnswer: -41410.7579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 9:21 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 86 - 88. Let l(r) = -1218*r + 4. Let y be l(n). Round y to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/18 and (-10)\/(-21) + 2 - 2.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 10222012212?\nAnswer: 10222012220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 94815540551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -74\/7, 2\/503, 2 in decreasing order.\nAnswer: 2, 2\/503, -74\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l**2 + 4*l + 1. Let o(p) = -16*p**2 - 11*p - 3. Suppose 0 = -7*v - 747 + 4016. Suppose 4*m - 423 = -v. Give m*u(t) - 4*o(t).\nAnswer: 9*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1582 divided by 462\nAnswer: 113\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4*g + 72 = -40, g - 128 = 5*c. Let x be ((-110)\/c)\/(-4*4\/(-1160)). Calculate the greatest common divisor of 29 and x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/93127 - -3073189\/186254. What is the common denominator of z and ((-2)\/(-564))\/(4\/(-606))?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t**2 - 5*t + 3. Let d(y) = 3*y**2 + 6*y - 4. Let f(q) = 5*d(q) + 4*g(q). List the prime factors of f(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4256297, -4256296, -4256295, -4256294, -4256293?\nAnswer: -4256292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1506 = 226*z + 376. Solve -z*o - 14 = -3*v, 2*o + 10 = v + 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/39*(4\/1 - (1 + 4)). What is the smallest value in 0.1, 4\/11, 0.07, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - l - 1250 = -2*v, -2*l + 1238 = 2*v. What are the prime factors of v?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + 2)\/(-1 - 0). Let i be x*(1\/1 + -1). Suppose -4*f = 5*l - 34 + 8, i = -4*f - 4*l + 24. Solve 2*d + f*b + 20 = 0, -17 + 3 = 2*d + 2*b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-17)*r*r*r**(-12)\/r)\/(r*r**(17\/3)*r*r*(r**(-12)*r*r*r)\/r))**(5\/14) assuming r is positive.\nAnswer: r**(-55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/239151 and 79\/217410.\nAnswer: 2391510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -151 + 243. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 11:07 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -u + 4. Suppose -u = z - 2. Let n = z + 14. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 7*z**2 - 45*z + 322. Let x be a(6). Solve -25*f + x - 41 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37024\/5 + 7405. Sort -22, 0.3, z in decreasing order.\nAnswer: 0.3, z, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 527573?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -436*a + 10572. Calculate l(27).\nAnswer: -1200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172940 is divided by 31?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0, 4, 1 in descending order.\nAnswer: 6, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 18\/5 (b) 23 (c) 2\/13 (d) -0.5 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sg when two letters picked without replacement from ssgdsgs?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 34 (b) -29 (c) 4 (d) -0.5 (e) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1078 divided by 98?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6912 is divided by 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*n = 24*n - 12*n + 9936. What is the greatest common divisor of 276 and n?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(63\/(-1))*0\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 261252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -876*f + 28185. What is b(32)?\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0124069 rounded to three dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 271251?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -4. Let s = 356 + -353. What is the nearest to x in s, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*p, -4*g - 22*p + 58 = -19*p. Suppose -g*u - 2589 = -19*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*b**2 + 11618*b + 1936.\nAnswer: 2*(b + 968)*(6*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47 - -52. Solve 5*d = -4*r + o, -6*d = 5*r - d for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -390*g**2*n**2 + g**2*n + 32*n**2 wrt g?\nAnswer: -780*g*n**2 + 2*g*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -6*m + 72. Suppose -4*n = -2*n - 4*q - m, 0 = 3*q + 12. Is n even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 117 and 110169.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 0 - 5, -33 = -3*p - 3*a. Calculate the remainder when 39 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3 = -3. Let d(u) be the third derivative of u**4\/24 + 2*u**3\/3 - 2*u**2. Let t(w) = w + 0 - 1 + 1 + 1. What is i*t(h) + d(h)?\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -33332231311 (base 4) in base 2?\nAnswer: -1111111110101101110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 405\/90*(-16)\/828?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*b**2*v**2 - b**2*v - 2*b*v**2 + 11*b*v + 157*b - 545563*v**2 - 55*v + 4 wrt v?\nAnswer: 48*b**2 - 4*b - 1091126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(567))**2 + sqrt(7) + 4*(0 + sqrt(7)).\nAnswer: 23*sqrt(7) + 568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.07 at least -32417?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 171\/18 - (10 - 1). Which is the second smallest value? (a) 4 (b) -1\/3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 84?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d + 8*d - 5*d.\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = p + 32. Suppose 0 = 4*g - 0*t + 3*t - 28, 4*t - p = 3*g. Solve -g = 3*f + c, -2*f - 2*c - 8 = -6*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 13*a**2 - 13*a + 112. Calculate g(-9).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 69 - 178 + 31 + 2*l**2 + (6*l - 2*l - 2*l)*(-14*l - l + 3*l) + (6*l - 3*l - 2*l)*(0*l - 3*l + 4*l).\nAnswer: -21*l**2 - 78","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -b**4\/3 - 5*b**3 + 9*b**2. Let k(i) = 17*i + 60. Let s(n) = -13*d(n) - 6*k(n). Does 13 divide s(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 109106, 108665, 108224, 107783, 107342, 106901?\n\"Answer: -441*o + 109547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2588270201249 and 0.15.\nAnswer: -2588270201248.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 169, 5, -3, 1, 263 in decreasing order.\nAnswer: 263, 169, 5, 1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 152 + -101. List the prime factors of t.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3351 = -429*f + 10693 - 1603 for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l**3 - 43*l**2 - 35*l + 89. Let p(z) = 3*z**3 - 21*z**2 - 18*z + 45. Let r(d) = -3*m(d) + 5*p(d). Let r(x) = 0. What is x?\nAnswer: -7, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/55, -9, 1\/6, 0.42, -2.7343?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -98*u**2. Let g(y) = -58*y**2 - 61*y**2 + 118*y**2. Determine k(g(v)).\nAnswer: -98*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/16 + 57\/(-3192) - -1.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1518*z**3 + 784*z**3 + 737*z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -17*l + 224. Calculate p(17).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r - 3. Let f be s(-4). Suppose f = 2*b - 3. Find the second derivative of 2*n - 4*n - 3*n**3 - 3*n**b + 3*n**2 wrt n.\nAnswer: -18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-77)*-2*1715\/245?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -128*g**2 - 18*g + 3. Let n(t) = -255*t**2 - 43*t + 7. Give 3*n(d) - 7*z(d).\nAnswer: 131*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -21*a - 3. Let f be y(8). Let w be (f\/21)\/3 + 3. Suppose 2*p + 10 = 0, -4*q + 9*p = 4*p - 37. What is the second smallest value in w, q, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - 13 - 5. Solve l - j - 5 = -2*y, -2*y + 18 = -4*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + (7 - 3) - -2) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1354 - -1356. Solve -4*i + x - 4*x = -18, 2*x + l = 2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5167.3 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52 + 127. What is the highest common divisor of 15 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*z + 2 = 0. Let k = -87 - -46. What is the units digit of 0 + z - (k - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5*s**3 + 2*s**2 - 2*s + 1. Let a be u(1). Let z be -6 + -1 - (a - -5). Is 46\/4*(10 + z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -l**3\/6 + 2*l. Let f(y) = 380*y**2 + 96*y. Let r(n) = -76*n**2 - 18*n. Let i(d) = 3*f(d) + 16*r(d). Determine i(t(p)).\nAnswer: -76*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.403 to one decimal place.\nAnswer: 7.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0289 - -0.0189. Which is the third smallest value? (a) o (b) -2 (c) -1 (d) 0.2 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 3*d - 11760, 4*d + 0*d - 19600 = -5*v. Suppose 6*a + 22*a = v. What is the greatest common divisor of 20 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 124*u**3 - 14*u**2 + 171*u - 9. Let q(x) = -62*x**3 + 7*x**2 - 76*x + 4. Determine 4*o(l) + 9*q(l).\nAnswer: -62*l**3 + 7*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + a = 4, -1 = -4*o + 4*a + 7. Put -7, o, -4 in decreasing order.\nAnswer: o, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -42, 5, 1, 0, -5 in decreasing order.\nAnswer: 5, 4, 1, 0, -5, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2091 - 39 = 5*u, 0 = -5*n - u + 3442. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r + 14. Let h be g(10). Sort 0.2, h, -5\/11 in increasing order.\nAnswer: -5\/11, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 9*h**2 + 13*h - 5. Let f be s(-7). Differentiate f*u + 0*u - 2*u + 7*u**3 + 28 wrt u.\nAnswer: 21*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -11*m + 1. Let g(a) = -17*a + 5. Let p(u) = 51*u - 14. Let w(d) = 8*g(d) + 3*p(d). Determine 8*o(f) + 5*w(f).\nAnswer: -3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p - 7. Let l be k(-5). Suppose v + 3*v = 5*n + 29, -v - l*n = -3. Solve 2*t - v = -4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 343 divided by 5.\nAnswer: 343\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*r**3 - 116 + 0*r**2 + r**2 - 14*r**3 + 121*r**3 - 13*r**3.\nAnswer: -2*r**3 + r**2 - 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-32)\/(-6)*39\/26. Let l = 131 + -91. What is the greatest common factor of l and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -v**8\/56 + 5*v**4\/6 + 7*v. Find the third derivative of u(i) wrt i.\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32899?\nAnswer: 167, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 7298215.\nAnswer: -6\/7298215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + f - 3*h = -24, 0 = 3*f - h - 8. Suppose f*p - 5*p = -1, 3871 = 5*w - 4*p. What is the second derivative of -8*k + w - 18*k**3 - 775 wrt k?\nAnswer: -108*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 195, 382, 583, 804, 1051, 1330?\n\"Answer: c**3 + c**2 + 177*c + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -3 + 3 + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 4, 0.4, -4\/5, 0.09?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 31302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 11*n - 12. Let t be x(7). Solve -b + 5*j = j - t, 0 = 4*b + j + 21 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52.2*-0.2\nAnswer: 10.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - sqrt(25)\/(-1*sqrt(5)) - 3*sqrt(5)*1)**2 - (-5*(1 + sqrt(5))*5*-1)**2.\nAnswer: -3745 - 1250*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 0. What is the third derivative of -2*r**5 + i*r**2 - 2*r**2 - 4*r**2 wrt r?\nAnswer: -120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2a71 (base 12) to base 2\nAnswer: -1001101110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 2*t = 7, -4*n - 29*t = -24*t for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(1872) + -5.\nAnswer: -5 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-70)\/(-25) + -4)*5\/(-3). Calculate the smallest common multiple of x\/(8\/12)*31 and 2.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c + -20?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 4:11 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 7*l**2 + 8*l + 2. Let z be n(8). What is the nearest to -1\/3 in z, 2\/9, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 565\/(-1130)*2\/34.\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, h: 6, m: 7}. Give prob of sequence eh.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18103.10029 - -18103. Let n = 0.1184 + a. Round n to three dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - 2*l + 3*l)*(3*l**2 - l**4 - 3*l**2) - 3*l**5 - l**5 + l**5 + (3*l + 3*l - 4*l)*(-2*l**4 - 2*l**4 + 3*l**4).\nAnswer: -6*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -5852401.6 and 2\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 15658, 15664, 15670, 15676, 15682, 15688?\n\"Answer: 6*i + 15652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 271*q**3 - 558*q**2 + 6*q - 14. Calculate k(2).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}