diff --git "a/data/dm_maths/full_data_2/229_11255.jsonl" "b/data/dm_maths/full_data_2/229_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/229_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is prob of picking 1 w and 1 m when two letters picked without replacement from mrmmmmmiiiwiciwrim?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 364.908963 rounded to zero dps?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-8)*-8)\/(4\/(-5)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of 16 + 0*a**3 + 3*a**2 + 0*a**7 + 0*a**6 - 7\/12*a**8 + 0*a**4 + 0*a - 1\/10*a**5. What is the third derivative of f(v) wrt v?\nAnswer: -11760*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -200\/3, 0.2, 0, -0.4 in increasing order.\nAnswer: -200\/3, -0.4, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/2780808 and -49\/4518813.\nAnswer: 36150504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 10*d - 6*d - 248 = 0, -z + 123 = d. Let f = -23 - -64. What is the remainder when z is divided by f?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3707 divide 151694147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -4*o + 20, -5*p + 3*o + o - 20 = 0. Let r = 2 + p. Suppose -a + 0*u + 3*u - r = 0, 5*a = u + 32. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2829653 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -113, -93, -55, 7, 99?\n\"Answer: u**3 + 3*u**2 + 4*u - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 21 (b) 2 (c) 1 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 - 1)*(-3 - 2 + 3)*(-1197 + 403 + 398 + 472*w + 400) to k + f*w and give k.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*b - 1302*b + 87*b - 60760 = -42*b for b.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/3280 and 37\/37310.\nAnswer: 298480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 34*q + 55 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/28 and -73\/40?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/20)\/(2\/12). Let i = -303 + 300. What is the closest to -1\/3 in p, i, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2112688 divided by -528172\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.11 + 5. Let v = 24 - 72. Let t = v - -49. Sort b, 0.5, t in decreasing order.\nAnswer: t, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -12, 7, 15, -7, 3 in ascending order.\nAnswer: -12, -7, -5, -4, 3, 7, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -3 - (24 + -18)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 9 - 3, 4*h - 23 = 3*u. Suppose -h*f = 23 + 81. Let z = f - -27. What is the highest common factor of z and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -88, 292 in increasing order.\nAnswer: -88, -5, 4, 292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/7 + (40872\/168)\/13. Calculate the greatest common divisor of 247 and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i + 3. Let j be f(7). Suppose -4*s - 2 = -j. Suppose -s = -2*w - 0*w. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111 - -1102310?\nAnswer: 1103021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -9*r**3 - 141*r**2 + 94*r + 35. Let h(l) = 3*l**3 + 46*l**2 - 31*l - 12. Let c be (5\/(-2))\/(-1)*(-456)\/570. Let o(y) = c*p(y) - 7*h(y). Factor o(t).\nAnswer: -(t - 1)*(t + 14)*(3*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -0*m + 36. Suppose -4*d + d + m = 0. Which is the second smallest value? (a) d (b) 0.5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/409536 and -23\/3792?\nAnswer: 409536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -29*x**2 - 18*x + 11. Let y be v(-13). Let n = -102517\/22 - y. Find the common denominator of -19\/18 and n.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b - 1. Let y be 1\/4 + (-5)\/4. Calculate s(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(-2)\/(-2 - -4). What is m rounded to 1 dp?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3851 to two decimal places.\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13787790 = -5067*w + 5037*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 10*d**2 + 10*d + 9. Let z be q(-9). Suppose z = -4*r - 8, 3*r = 3*k - 0 - 18. Solve -2*v = -a - v - 2, k*v - 14 = a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**2 - 2*h + 2*h + 13*h**2 + 0*h**2 - h**2 + (4 - 3 - 2)*(-4*h**2 - 4*h**2 + 3*h**2) - h**2 - 2*h**2 + 2*h**2 in the form x + t*h + z*h**2 and give z.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -4*f**2 - 21*f - 11 + 11 - 50*f - 25*f = 0.\nAnswer: -24, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 w when four letters picked without replacement from {a: 2, w: 6}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**3 - 1. Let o be q(-1). What is the remainder when 13 + o*(3 - 1) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104039423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 1 - 1. Suppose -2*c = -t - 9. Solve c*z = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 5 = -a, 2*a - 4*b - 140 = -126 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 495300.\nAnswer: 495308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -521, -2101, -4729, -8399, -13105, -18841?\n\"Answer: v**3 - 530*v**2 + 3*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.2 and 1474694417?\nAnswer: 1474694415.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 22?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-22))\/(79\/(-632))\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((25676\/(-4061))\/(-196))\/(1\/(-4)*2*-2).\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3*(((sqrt(75) - 6*sqrt(75)*-2) + -2)**2 + 5 + 3 + (0 + sqrt(75))**2) + 1.\nAnswer: -38281 + 780*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 y when three letters picked without replacement from {y: 9, c: 3, i: 4}?\nAnswer: 27\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 939 + -774. Calculate the least common multiple of p and 105.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 17 = -5*z, 3*c - 23 - 2 = -4*z. Let f be z + (70\/10 - (4 - 1)). Let p = 229 - 165. What is the highest common factor of p and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 10*a = 3. Suppose 0 = k - 2*q - 1171, 0*k + 4*q - 3493 = -a*k. Let j = k - 4645\/4. Calculate the common denominator of -61\/2 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3974296?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -215, 162, 539, 916?\nAnswer: 1293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*b*r**3*y**2 - b*r*y**2 - 2*b*r*y - 5*r**3*y - r**3 - 3*r**2*y wrt y.\nAnswer: 26*b*r**3 - 2*b*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -356367646 divided by 5?\nAnswer: -356367646\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4050.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of 29*u**5\/30 - 3*u**3 + 13*u**2\/2 + 4*u + 2. Let x(c) be the first derivative of b(c). What is the derivative of x(p) wrt p?\nAnswer: 116*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -3*s**3\/2 + 14581209*s**2\/8 + 18226527*s\/8 + 1822653\/4 = 0.\nAnswer: -1, -1\/4, 1215102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - 5*x + 5, 3*y - 42 = -2*x - 17 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -972434620 by 1.\nAnswer: -972434620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 7) to base 11.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14159005282143 take away -0.2?\nAnswer: -14159005282142.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7054214.59 + -1307.2.\nAnswer: 7052907.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 605, 0, -1 in descending order.\nAnswer: 605, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 303463 by 4.\nAnswer: 303463\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89, -112, -183, -326, -565, -924?\nAnswer: -1427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2832112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mn when two letters picked without replacement from {e: 8, b: 2, n: 1, m: 2, f: 2, r: 4}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vu when two letters picked without replacement from {d: 4, t: 4, v: 1, u: 3, f: 1}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 4)\/(-2) - -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(-g + 2*g + g) - 1 - 2 + 3*g + 1.\nAnswer: 7*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 2. Let p be c(4). Suppose 4*x + 53 + 3 = 0. Let g be p + 0 + x\/(-2). Solve -g*w = -5*b - 15, -5*w + 2*b = -0*b - 12 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-366)\/(-54) + ((-20)\/(-18))\/5. Let b be (-2)\/2*14\/(-2). Calculate the greatest common divisor of g and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 52411 - -1422321?\nAnswer: 1515132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 2*n + 5. Let b be f(-3). Suppose -4*m - b = -0. Which is smaller: m or -3\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 7*m**2 + 3937*m + 169555. Give w(-47).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 47565.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 619289 - 252670177\/408. Let r = f + 14\/51. Let m = 0.2 - 5.2. Which is the third biggest value? (a) m (b) r (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7962, -7965, -7968, -7971?\n\"Answer: -3*z - 7959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*g - 40*g = -3*m + 13, 4*g - 2*m = -22 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + d = -11, 13*d + 28 = 5*w + 10*d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 - 5)\/(1\/(-14)). Let r = 160 - i. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-4) + (-5)\/(-10). Let b be (-147)\/(-6)*a\/1. Suppose -1 = -2*q - 5*w, -3*q = 2*q - 3*w - b. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 164441313?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7438*g**3\/9 + 381826*g**2\/3 - 1142018*g\/9 + 442 = 0.\nAnswer: 13\/3719, 1, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 83*d - 411. Let y be x(5). Solve 0 = -4*k - y*n - 4, -2*k - n + 7 - 11 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q\/(q**(2\/3)*q))\/q))**(27\/5))**(-7) assuming q is positive.\nAnswer: q**(-504\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 - 616*g + 94864.\nAnswer: (g - 308)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nynynnn. What is prob of picking 1 y and 2 n?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269 is divided by 159?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*w - 128 + 128 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -965*c**4 - 4*c**3 + 7745*c + 352732305?\nAnswer: -3860*c**3 - 12*c**2 + 7745","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = p + 55. Suppose 2*u = c + 60, 2*u + 306 = -5*c + 6*u. Let o = c - p. Solve 0 = o*d + 1 + 9 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 11)\/((-69)\/16422*-85)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 15*v - 9. Let m be t(14). Let r = 3\/11 - -18\/55. Which is the third smallest value? (a) r (b) -3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from 1.32.\nAnswer: 1.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -159649, -319283, -478915, -638545, -798173, -957799?\n\"Answer: a**2 - 159637*a - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cycyy. Give prob of picking 1 y and 2 c.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -1122102?\nAnswer: 1122110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t - 4. Let k(w) = -17*w + 776. Let y be k(46). Let b(v) = -4*v + 3. What is y*m(q) - 7*b(q)?\nAnswer: 4*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -h**8\/168 + h**4\/4 + h**3\/6 - 8*h. Let n(q) be the second derivative of f(q). Differentiate n(s) wrt s.\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**2 - 27*a - 473 - 22*a + 471 as v + y*a + o*a**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**3 + 121*o**2 - 180*o - 5. Calculate c(59).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, v: 2, t: 7}. Give prob of picking 1 v and 3 t.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2158 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: Are 74749312 and 74749311 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 plus -1433?\nAnswer: -1494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -441, -439, -433, -423, -409?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 528 and 98227668?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114, -109, -94, -63, -10, 71, 186?\nAnswer: 341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d + d + d)*(-3 - 2 + 3) + 2*d - 2*d + 2*d to y + a*d and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16230 is divided by 8109.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 93, -2, 4973 in increasing order.\nAnswer: -2, 93, 4973","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 9*n + 4. Let j be (-36)\/(-3) + 1 + -4. Let l be y(j). Suppose -p - p - 4*a = -38, 0 = -l*p + a + 112. Does 14 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -838 - -66?\nAnswer: -782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(78) - (sqrt(78) - -2*sqrt(78))*-4) + sqrt(78))\/(-1*sqrt(864) - sqrt(864)))**2 + 0.\nAnswer: 637\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4363106163 - 5?\nAnswer: 4363106156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5497209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 119 + -73. Is 1\/(((-6)\/(-3))\/l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 16 = -4*x, 0 = -r - 5*x + 2*x + 1. Suppose 3*i + 20 = -r*y, 2*i + i = 5*y - 2. Is 21 a factor of 2\/2*i - -109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 12*z + 407. Calculate c(28).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 7:22 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 188.684 - -23.956. What is l rounded to the nearest 10?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**3 - 21*z**2 + 8*z - 9. Let g be s(-11). Solve -g = -54*h + 48*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121 - 10121111220?\nAnswer: -10121112111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 17*a**5\/30 - 14*a**3\/3 + 36*a**2. What is the derivative of b(i) wrt i?\nAnswer: 68*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -11001110110000000111011110000?\nAnswer: -11001110110000000111011101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 28\/2 + 14\/(-2). Suppose 2*h - 5*s + y*s = 32, 4*s + 44 = 5*h. Solve 3*a + 3 = -h for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/((-12 - 2)*2). Which is the smallest value? (a) 5 (b) l (c) -1\/2 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of o**4\/12 + 40*o**3\/9 + 77*o**2\/6 + 38*o\/3 - 251. Factor g(u).\nAnswer: (u + 1)**2*(u + 38)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 9*v + 4*v + 10, -2 = -v. Let c be 28\/30*4\/((-8)\/(-6)). Determine n, given that -4\/5*n**4 - c*n**5 + 42\/5*n**3 + 8*n**2 + 8\/5*n + r = 0.\nAnswer: -1, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/10838 and -7\/2.\nAnswer: 10838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**6)**(2\/9) assuming t is positive.\nAnswer: t**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 31*h = -32*h + 867203, 3*h + 2167991 = -5*d. What is d rounded to the nearest 10000?\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (137*s + 30 - 30 - 1 + 2*s + 1 + (0 + 0 + 2)*(0*s + 3*s - s))*(-2 - 1 + 1)*(1 - 1 + 2).\nAnswer: -572*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2891*w + 59736 + 81923 = 0 for w.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -622, -602, -576, -544, -506?\nAnswer: -462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 601.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/4)\/(o\/(o\/o**(-6)))*(o*o**0)\/(o*((o\/o**(-1\/5))\/o)\/o) assuming o is positive.\nAnswer: o**(141\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 107471 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.116 - 1.286. Let p = r - 52.83. Let j = -23 + p. Which is smaller: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177247709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**4\/19 + 1144*o**3\/19 + 158102*o**2\/19 + 341640*o + 6334200\/19 = 0.\nAnswer: -391, -90, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = 19 - 7. Suppose -2*m - 14 = -2*o, -2*m = 2*o - 0*m - 6. Suppose -y + 0 = 1. Sort o, w, y in decreasing order.\nAnswer: o, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*a = 24, -2*c = -7*c - 2*a + 14. Solve 6*t - 14 = c for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 74*i**4 + 3402*i**3 + 50524*i**2 + 238392*i - 6480 = 0.\nAnswer: -18, -10, 1\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 3*a = 0, 7881*f + 2*a = 7879*f + 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1059987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 943.7499 weeks to seconds.\nAnswer: 570779939.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1\/d)**5)**(-6)*((d\/(d\/d**0))\/d)**(34\/5)\/(d**(-3)*d*d**(1\/8)) assuming d is positive.\nAnswer: d**(-197\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 8 - 34 - 36932*m + 8.\nAnswer: -36932*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56 - 53. Suppose -l*s + 2*h = -12, 5*h = 4*s - 4 - 19. Factor -5*g - 4*g + 10 - 19*g**2 + 0*g + 18*g**s.\nAnswer: -(g - 1)*(g + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + n = -44, -351 = -6*d + 5*d + 9*n - 39 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/2 + 19*w - 123\/2.\nAnswer: (w - 3)*(w + 41)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 3) to base 2.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 48092 divided by 4388\nAnswer: 12023\/1097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42 - -3042?\nAnswer: 3000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 16) in base 3?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3 + 5*a**2 - 7*a**2 - 1 + a**2 - 3*a - 4. Let l = -6 - -3. Determine t(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 56\/26 - 4*(-5)\/(-130). Suppose -d*t = 3*t - 375. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 40 - 120b6b?\nAnswer: -120b2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)\/sqrt(112))\/(sqrt(256)*1 + sqrt(4) + sqrt(4)))\/((sqrt(270)*-2 - sqrt(30))\/(sqrt(360)*2 + sqrt(10))).\nAnswer: -13*sqrt(2)\/280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 2*s - 2. Suppose b + 3*b + 12 = 0. Let m be r(b). What is the least common multiple of ((-2)\/1 + -2)*m and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50888 - 23407 - 25431)*(-2*n + 2*n - 2*n)*(3 + 2*n - 3).\nAnswer: -8200*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1343439863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 10. Let x = 16997\/10 - 1688. What is the common denominator of x and (531\/s)\/(24\/(-2))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 23*n - 8. Let k be b(24). Let w = k + 45. What is the remainder when w is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 282, -20.4 in decreasing order.\nAnswer: 282, 0, -20.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*i**2 + 2*i**2 - 3*i**2)*(i + 0 + 0) - 5*i**3 + i**3 - 3*i**3 to the form t*i + f*i**3 + c + u*i**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.08 (b) 5\/3 (c) -2\/27 (d) -5661 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 8*h**2 - 11*h - 6. Let w be 4\/((-4)\/7) - 2. Calculate the remainder when 23 is divided by c(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-127329)\/2*(40\/5 - 208\/24) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11, 61, 139, 245?\n\"Answer: 14*j**2 + 8*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 10*w - 10. Let x = 10639 + -10634. Determine t(x).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5005 divided by 4\nAnswer: 5005\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + i - 1. Let t be 3 + (-2 - (0 - -2)). Let g(w) = w**3 + 5*w**2 - 2*w + 2. Let x(f) = t*g(f) - 2*q(f). Let x(v) = 0. What is v?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(12)\/(sqrt(6) + sqrt(18)\/sqrt(3)))*-4 + (-4 + 5 + -2 + sqrt(475))**2.\nAnswer: -18*sqrt(19) + 476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 63, 108, 189, 318, 507, 768, 1113?\nAnswer: 1554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 521 + -122. Suppose 0 = 2*x - b - 117. List the prime factors of x.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) -6 (c) -3\/2 (d) 6.6 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/6, -2, 0.3, 77?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvavvvvvvvvvvvvvvvv. Give prob of sequence vavv.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 53939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kekknie. Give prob of sequence nen.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 57038, 114080, 171122, 228164?\n\"Answer: 57042*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127888 is divided by 245.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k - 12*k = 4*c - 2, 2*c + 3 = 3*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 3:43 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -31, 4 in decreasing order.\nAnswer: 4, 0, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5482, 2, 4, 3, -4, -5.\nAnswer: -5, -4, 2, 3, 4, 5482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of y**7\/630 - 8*y**6\/45 - 65*y**4\/6 - 163*y. Let d(f) be the third derivative of o(f). What is u in d(u) = 0?\nAnswer: 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.529903ml in litres?\nAnswer: 0.000529903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 3*c + 6. Let g be v(3). Let n = g - 27. Let s = n + 92. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1217*v + 1489*v + 84*v - 5472*v - 6237*v in the form c*v + t and give c.\nAnswer: -11353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2*18*(49\/(-42) - 185\/(-111))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -6a845?\nAnswer: -6a847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*m - 10 = 0. Let n be (-8440)\/6312 + -2*m. Let u = n - -1\/263. What is the common denominator of u and 57\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -33, -132, -303, -552, -885, -1308, -1827?\n\"Answer: -v**3 - 30*v**2 - 2*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2568 divided by 3\nAnswer: 856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -5. Suppose 864*s = -1435 + 4027. Solve d*q - s = 9*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5415, -5261, -5107?\n\"Answer: 154*t - 5569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-6)*(-120)\/8. Solve 0 = 5*t - 0*t + l for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192269?\nAnswer: 7, 11, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gghghghhhghggh. What is prob of picking 1 g and 2 h?\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 522 + -518. Sort q, -22, -3, -1\/6.\nAnswer: -22, -3, -1\/6, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - x**2 - x - 1. Let o(k) = 7*k**3 - 12*k**2 - 7*k + 2. Let r(z) = o(z) - 6*p(z). Determine r(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -b**4\/24 + 2*b**3\/3 - 3*b**2. Let t be o(3). Let r be (-2)\/(-2)*t + 7. What is r rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 95678.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o\/((o\/o**(-7\/5))\/o)))\/(o\/(o*o\/(o\/(o**(-11)*o)))) assuming o is positive.\nAnswer: o**(-38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 546 = 122*u + 441 - 837 - 3450 for u.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 606784, 1213586, 1820388?\n\"Answer: 606802*l - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -w**7\/63 - 8*w**6\/45 - 11*w**5\/15 - 14*w**4\/9 - 17*w**3\/9 - 4*w**2\/3 - 1168*w. Determine t so that o(t) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1319?\nAnswer: 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/(sqrt(288) - sqrt(8)) - sqrt(228)\/sqrt(48))**2.\nAnswer: 171\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 18*i**2 + i - 18. Let w be l(18). Suppose w*p + 0*p = -2*p. Suppose -4*c = -5*b + 4175, p*c + 2*c - 849 = -b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**2. Let c be -5 - 14682\/(-30) - (-2)\/(-5). Let t(g) = 466*g - 1 + 1 - c*g. Calculate t(s(w)).\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1768404 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 252 = 4*f, -485*n = -487*n - 3*f + 125. What is the least common multiple of 48 and n?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14627 - -115416. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1826639?\nAnswer: 1826639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**4\/12 + 2*a. Let w(o) = -o**2. Determine k(w(z)).\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 33\/(-16)*10\/(-15). Let s = 61\/56 - l. What is the smallest value in -20, -0.2, s, 2\/7?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 2*o + 14, -6*v + 19 = o - v for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 27\/5 of a meter?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22390840 rounded to the nearest 10000?\nAnswer: 22390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13818)\/119 + (-2)\/(-17). Let h = t + 1393\/12. Let a be 2 + 19\/(-9) + 4524\/2808. Sort 5, 10, h, a in decreasing order.\nAnswer: 10, 5, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*u + 34272 = -11*u. What are the prime factors of u?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q**3 - 2*q**2 + 3*q - 2. Determine m(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 85049 or 85014?\nAnswer: 85014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27094.36g to micrograms.\nAnswer: 27094360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400) + sqrt(400) + -1*sqrt(400)*5)\/((sqrt(5) + sqrt(5)*-2*-1)*-5).\nAnswer: 4*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3892*c**2*x**3 + 43*c**2*x - 102*c*x**2 - 2*x**3 wrt x?\nAnswer: 23352*c**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2801, 0.4, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 15 = 2*u. Suppose k - 6 = -u*q + 6, 5*k = -5*q + 20. Solve -k*n - 5 - 3 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188*((-17)\/(-4) + -4)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2 times 4824506?\nAnswer: 10613913.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of m + 1. Let v(w) = -2*w - 8. Let l(d) = 2*n(d) + v(d). What is l(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + v + 75. Let g be l(0). Suppose 0 = -m - 2*m + g. Solve 0 = -2*i + 2, 5*k - 6*i + m = -i for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a litre in millilitres?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17594, 35547, 53500, 71453?\nAnswer: 89406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -75*g**4\/4 + g**3 + 18*g + 97. Find the third derivative of x(a) wrt a.\nAnswer: -450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -70*l - 565 - 765 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - 3*y + 6, -6*x = -8*x + 4*y - 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2989054029 by 3.\nAnswer: -996351343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 61 = -267. Let u = 104 + n. What is the highest common factor of 4 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6410273?\nAnswer: 31, 206783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of 1\/120*v**5 + 0*v - 2*v**2 - 1\/240*v**6 + 0*v**3 + 0 - 1\/8*v**4. Let a(r) be the second derivative of t(r). Calculate a(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -3e8?\nAnswer: 3eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b*f**2*q**2 + 8*b*f*q + 10977*b*q**2 + 354*b*q + 2*f**2*q**2 - 5*f**2*q - f**2 wrt q?\nAnswer: 4*b*f**2 + 21954*b + 4*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -21. Let o(s) = s - 1. Give o(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -172704 plus 146.16?\nAnswer: -172557.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*n - 1 + 1 + (-2 + 3 - 4)*(-24*n - 89*n + 172*n).\nAnswer: -169*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 5*x**2 - 3*x + 1. Let u = 66 - 69. Let v(n) = -n**3 + 5*n**2 - 2*n + 2. Let t(o) = u*v(o) + 2*f(o). What is t(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4476 + -4455. Solve 2*l = -k + 12, -d - 5 = -3*k - 4*l for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 47*p - 4. What is the remainder when m(3) is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 16450?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1519\/2604*8\/420?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 1942*y + 7. Let v(c) = 5825*c + 19. Calculate -11*h(z) + 4*v(z).\nAnswer: 1938*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7934386 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Calculate the remainder when 21620 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 383981209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 4. Let d = -42.8 - -43.3. What is the second smallest value in d, s, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 716786 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b - 4. Let n be q(4). Suppose -5*o + 14 = -1. Suppose 3*x - 2*k - 75 = n, o*x + 4*k = -0*x + 57. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 345*u**2 + 334*u - 3423. Determine o(-344).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 139067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.056694nm to centimeters.\nAnswer: 0.0000000056694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 3) + 2 + 2\/(-1). Suppose -5*x = 0, -c + x + x + 4 = b. Calculate the least common multiple of c and 164.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, -0.2, -2, 9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*(-10)\/(-630)*(-810)\/(-30).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 9303?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2144, 4428, 6712, 8996, 11280, 13564?\nAnswer: 15848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5604*q - 5590*q + 11229*q - 68*q**4 + 6*q**2 - 4*q**5 wrt q?\nAnswer: -240*q**2 - 1632*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10201 = -8*u - 4057. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6146616 (base 8) in base 5?\nAnswer: 404003421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3231 + -142. Let d = j - -1677. Let x = -803 - d. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2515?\nAnswer: 5, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 + -38. Find the first derivative of -457 + 466 - w*r**3 - 10*r**3 wrt r.\nAnswer: -57*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 31 = -5*h, 5*q + 4*h - 9028003 = -9027985 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 1\/40*m**6 - 1\/10*m**5 + 0*m**3 + 1\/70*m**7 + 0*m**4 + 3*m - 5*m**2 + 0. Factor s(x).\nAnswer: 3*x**2*(x - 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 - 0.239845?\nAnswer: -0.299845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168480697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 6. Let j(c) = c**3 + 9*c**2 - 2*c - 16. Let x be j(-9). Solve -x*u = -o*u + 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.07194 minus -444349?\nAnswer: 444290.92806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 13497 (c) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -6 - 6. What is the biggest value in 10, 0.4, o?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000523466 rounded to 7 dps?\nAnswer: -0.0000523","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**3 + 8*t**2 - 11*t - 39. Give m(-2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 475 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2)*i)**(-19)*i**9\/(i**(3\/14)\/i*i) assuming i is positive.\nAnswer: i**(389\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -13*g**2 + 9*g - 9. Let n(u) = -4*u + 4 - u**2 - 2 + 2*u + 4*u**2. Let r = 6 - 1. Suppose r*p = -3*o + 21, 2*o - 5 = o - p. What is o*v(y) + 9*n(y)?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a decade in months?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 297350*j**5 + 2*j**4 - 2126319*j**2 wrt j.\nAnswer: 17841000*j**2 + 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*l - 1968 = -368 for l.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74\/(-420) + (1520\/(-38))\/(-280).\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 11:41 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -8, 0.3, 2, 17172?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 240*z - 15407. Let m be f(64). Let y(k) = -k**2 - 69*k - 1028. Determine y(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, u: 3, y: 1, j: 3, w: 8}. Give prob of picking 1 u and 2 j.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 4*a + g, -15 = 4*a - a + g. Let j be (-33)\/a - 15\/6. Calculate the greatest common divisor of 3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 19*s - 115. Let o be u(7). Is (6406\/4)\/(-1 - o\/(-12)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -94.547006 and -0.05.\nAnswer: 4.7273503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1316503865 or -1316503864?\nAnswer: -1316503864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 29*o - 27. Calculate the remainder when 51 is divided by n(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 717*a + 9121. Give r(13).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**4 - 266*a**3 + 8976*a**2 - 8712*a = 0.\nAnswer: 0, 1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 0*x + 2*x)*(1 + 1 - 4) + 5*x - 2*x + 0*x.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i - 6*i - 4*i + (3*i + 2 - 2)*(0 - 2 + 0) to p + w*i and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/65 or -1?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/392*14 - 288\/231?\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*i**2 - 51*i**2 - 69*i**2 + 66*i**2 + 2.\nAnswer: -92*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 3:49 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -6, 1, 19166, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4528 divided by -7\nAnswer: 4528\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + (-4)\/(-10)*5. Let a = -2 + z. What is the derivative of 2*o - 4*o + 1 - a wrt o?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22618 + -17720. What is the highest common factor of b and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12406 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 11, -11, -47, -97, -161, -239, -331?\n\"Answer: -7*h**2 - h + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 42 = 5*y + 10, -5*f + 19 = y. Suppose y = 4*u, n + n = -3*u + 11. Let p(d) = -n*d + 1 - 4 + d**2 + 4. Give p(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 28\/17, -81\/2, 7 in descending order.\nAnswer: 7, 4, 28\/17, -81\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2036)\/(-19342)*4712\/(-8)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 16544297118950 and -0.1.\nAnswer: 16544297118949.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5396 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, 3, -1\/12, -0.4?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 351.55.\nAnswer: -35.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**3 - 3*t**2 + 3*t - 1. Let r be 2\/(-6) + 10\/(-6). Let c be ((-7)\/r)\/(-7)*-4. Give y(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 5. Let m = r + 12. Suppose 13 = 4*n - 3, m*n = -5*b + 31. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f**3 - 636*f**2 - 4*f**4 + 3*f**4 + 322*f**2 + 2*f**4 + 326*f**2 = 0. Calculate f.\nAnswer: 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v, 1 j, and 1 k when four letters picked without replacement from vjpkvvvk.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252 - 649 + 201 - 10796*y + 196.\nAnswer: -10796*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -362623643*r - 616117844?\nAnswer: -362623643","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.031333524 rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**3 + 2*d**2 - 6*d - 19. Is o(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -46013.63\nAnswer: 92027.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.05, -3971, 0.1, 5, -0.5?\nAnswer: -3971","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -136, -266, -400, -538, -680?\n\"Answer: -2*h**2 - 124*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 43130*k. Let q(i) = -i. Determine q(o(u)).\nAnswer: -43130*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -96 - -100. Let b = -2 - -4. Suppose -y + 12 = k, b*y = k + 7*y - 24. Calculate the least common multiple of k and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -323 - -318. Let w be 230\/15*(1 - l). Calculate the greatest common divisor of 12 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*y + t, 4*y - 6*t = -3*t + 29. Let v = 20 + y. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225347 is divided by 422.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58808772 by -1164.\nAnswer: 50523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5210356.\nAnswer: 2, 31, 42019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-119*l**5 + 600*l**5 + 107*l**5)*(1 + 2 - 2).\nAnswer: 588*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 1 + (-276564)\/11484. Let p = z - -2072\/87. Let r = p - -13\/29. Which is the second biggest value? (a) r (b) 0.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101100212022212 - -11?\nAnswer: -101100212022201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -84, -125, -166, -207?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -6*z + z. Suppose -z = -o + 239. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-10775)\/(-75) + (2\/6 - 0) and 99?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/13 > -9241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 57*d + 54. Let q be i(-25). Suppose 0 = -13*v + 147 + q. Let h = -53 - -75. What is the greatest common divisor of h and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75356\/5 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 5*v + 13, -2*t + 44 - 36 = -4*v for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 143 - 1901. Let p be 45*2*(-27)\/18. Let d = p - i. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, n: 1, y: 1, c: 1, i: 1}. What is prob of sequence fy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 38*x**2 - 12*x - 17. Let j(s) = -13*s**2 + 4*s + 6. Let m(y) = 17*j(y) + 6*v(y). What is the second derivative of m(p) wrt p?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -19*t**3 + 14*t**2 + 10*t - 8. Let p(u) = 6*u**3 - 3. Let v(f) = -n(f) - 3*p(f). Give v(15).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 3*u + 225, 2*u = y - u - 108. Suppose 15 - 48 = -v - 3*p, -2*v = -3*p - 111. What is the remainder when y is divided by (-3 + 7)\/(16\/v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 2:10 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -432 divided by 54?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 456394.9575 to the nearest one hundred.\nAnswer: 456400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1099.208 rounded to the nearest ten?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 0. What is the second derivative of 17*o**3 + o - m*o - 19*o**3 wrt o?\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 2:26 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81265?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/356672444 and -67\/136?\nAnswer: 713344888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4063, -8128, -12215, -16324?\n\"Answer: -11*g**2 - 4032*g - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91990.06 millilitres to litres.\nAnswer: 91.99006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, -5, 4, 2, 1\/24.\nAnswer: -76, -5, 1\/24, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -15*b + 64. What is k(27)?\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32984143.\nAnswer: 32984143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**7*n**(-14) assuming n is positive.\nAnswer: n**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4237310 divided by 10\nAnswer: -423731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 430 = 5*j, -3*z + 58 + 93 = 2*j. Suppose 85*i = j*i. Solve i*m + 3*m + 12 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + 0. Let m be c - 3 - (0 + 2). Let z(d) = d**2 + 12*d - 59. Let x be z(-17). What is the highest common divisor of x and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**2 - 650*w - 6545 = 0. Calculate w.\nAnswer: -119, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -184375.203 + 184248. Round l to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -12*h**2 - 3853*h + 31592. Determine i(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 593307 divided by 117.\nAnswer: 5071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/112 and -25\/602.\nAnswer: 4816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1658 a factor of 36321806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvbvvduu. Give prob of sequence ubud.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (-44 - -55)) + 6\/7*(-2079)\/(-264)\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 15 = -5*p + 11, -4*p + 5*k = -25. Let t be -4 + 4\/4 + p. Find the second derivative of 2*v - v + 0*v**2 + 4*v**2 + 5*v**t wrt v.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {d: 5, u: 4, r: 2, t: 1, a: 4}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 681*s**6 - 155*s**5 + 93*s**2 + 1880 wrt s?\nAnswer: 81720*s**3 - 9300*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12223 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2181, -66, -1 in descending order.\nAnswer: -1, -5, -66, -2181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*w - 3 = 26. Which is the second smallest value? (a) -18 (b) -0.2 (c) 2\/5 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 9:31 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(350) + sqrt(350)*2)\/sqrt(10))\/sqrt(5))**2 + (2*sqrt(700) - (1 + sqrt(847))).\nAnswer: 9*sqrt(7) + 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sbsfsfwmmwwmwbbxm. What is prob of picking 1 s and 3 b?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 3. Let b be f(0). Let t(g) = -5*g**2 - g**b - 2 + 4 + 3. Let x be t(-5). What is the closest to 0.2 in 1\/3, -3, x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of k**5\/35 - 10*k**4\/7 + 400*k**3\/21 + 31. Factor w(c).\nAnswer: c**2*(c - 20)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/((-14568)\/2427 + 6). Let h = -522 - t. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84 and 30779?\nAnswer: 369348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2\/(-4))\/((-14062)\/(-2344) + -6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*x = -27, 2 - 5 = x. Suppose o - 1018 = i*n, -o = 4*o + 5*n - 4965. What is the hundreds digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1747.0859*0.02.\nAnswer: -34.941718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 k, and 1 d when three letters picked without replacement from kkykyykkkkkkykdyky.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.213 - 7.513. Which is the closest to y? (a) 4 (b) -654 (c) 2\/5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -15*b + 2. Let k(u) = -18*u**2 - u + 220. Give h(k(n)).\nAnswer: 270*n**2 + 15*n - 3298","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -392, -782, -1172, -1562?\nAnswer: -1952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**2 + 6. Let q(d) = -1. Let b(m) = 6*q(m) + r(m). Let f(c) = -11*c**2 + 1. Give f(b(u)).\nAnswer: -44*u**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a decade in months?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-3\/4)*b*b)\/b)**(-24))**(-4\/9) assuming b is positive.\nAnswer: b**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30695\/18 + 3401\/2. What is the common denominator of 55\/122 and n?\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Total of -140.927 and 0.2725129.\nAnswer: -140.6544871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 + -12.7. Let u = o + -81.6. Let y = u + 95.0059. Round y to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11935321.\nAnswer: 23, 47, 61, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -m + 1205 + 85310, 2*m - 4*p - 173078 = 0. What is the ten thousands digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -16*x - 4. Let g(p) = -74*p - 227. Let j be -3*(-80)\/30 + -11. Let v be g(j). Let s(i) = -40*i - 10. Determine v*s(a) + 12*u(a).\nAnswer: 8*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 3*z**2 - 3*z + 4. Let a(j) = -16*j - 13. Let w(k) = -16*k - 113. Let x be w(-7). Let y be a(x). Calculate s(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -11*y**3 - 4*y - y + 19 + 8*y. Let s(l) be the first derivative of o(l). Let x(t) = t. What is x(s(k))?\nAnswer: -66*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1398 in 13, -5, -2\/33?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 130*m + 4. Let s be j(0). Let t(w) = -5*w. Let f be t(-1). Let p = -3 + f. Solve 2*g = -p*g - s for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6430374*x - 5536855.\nAnswer: -6430374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 9*f**3\/4 + 3*f**2\/2 - 3*f\/4 = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 126524.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1\/16, -15 in descending order.\nAnswer: -1\/16, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 1 = -4. Let c(x) = -x**3 - x**2 + x + 2. What is the remainder when c(m) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.02 - -5.7. Let t = w - -0.32. What is the third smallest value in 0.8, -2\/13, t, -1?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**6*f)**(-3\/38) assuming f is positive.\nAnswer: f**(6\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 146945173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 744.967ml in litres?\nAnswer: 0.744967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/3348 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 + -11 - (-11 - -17)) + 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1434, 2874, 4314, 5754?\nAnswer: 7194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/269 or 0.0647?\nAnswer: 0.0647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 6:55 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 21.42412 millilitres?\nAnswer: 0.02142412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 42cd91 (base 14) to base 7\nAnswer: 25145541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 7*c = 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126614660.\nAnswer: 2, 5, 6330733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 2204?\nAnswer: -2208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 19*o**2 + 37*o - 49. Suppose 5*d - 4*d - 87 = -5*q, -4*q + 66 = -d. Let g be l(q). Solve 5*p - 3*r = -0*p - 37, 0 = -2*p + g*r - 18 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -t**6\/120 - t**4\/24 + 5*t**3\/6 - 2*t**2. Suppose 2*u + u - 6 = 0. Suppose u*w = -w. What is c(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3508695917 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 + -2 - (17 - 5)) + 68?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6132?\nAnswer: 2, 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 160615913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 43690209?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 329436.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*f**3*m**3 + 3*f**3*m + 2*m**3 - 30 wrt f?\nAnswer: -24*f**2*m**3 + 9*f**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggssvggss. Give prob of picking 3 s.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9032*p - 614 = 4386*p + 4399*p + 621 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*l = 5*d + 552, 224 = -2*d + 2*l. Let c = 40 - d. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9, -13, -73, -189, -379?\n\"Answer: -3*w**3 - w**2 + 2*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4068444 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 304.9235 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12125 and 327625?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*n + 11*n + 15. Let l be (-4)\/26 - (-19186)\/(-28236). Sort 1, -1, n, l in ascending order.\nAnswer: -1, l, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x + 20*x + 1139*b - 1142*b + 343 = 0, b + 355 = -11*x for x.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(1\/2))**(-37)\/(s\/s**(-1))**(5\/4))\/(s*s\/s**1*s*s\/s**(2\/15)*s**6*s**(2\/11)) assuming s is positive.\nAnswer: s**(-4958\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 68734229?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by 88?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9 - 3\/((-9)\/(-3)). Let j = 303 + -263. Calculate the highest common divisor of j and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3d11 (base 15) to base 8\nAnswer: -31412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9583\/5 - 67\/5*l**2 - 1\/5*l**3 - 851\/5*l = 0.\nAnswer: -37, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**2 - 777036*n + 1554060 = 0 for n.\nAnswer: 2, 259010","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 28733 (base 9) in base 5?\nAnswer: 1111201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4188058*d**5 - 14597297*d wrt d.\nAnswer: -83761160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/11 in -92, 3, -7\/2, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 8601)\/(4\/(-8)). What is u rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/4 and 35\/985713.\nAnswer: 3942852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 70 = -4*g. Let d(j) = 305718*j - 52. Let x be d(g). Round x to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 149 + -145. Suppose 0 = 5*l - 5*f, 4*l - 3*f + 2 = m. Find a such that 14\/11*a**l + 4\/11*a - 14\/11*a**4 - 4\/11*a**3 + 0 = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 9*z - 25. Let s = 626 - 619. Suppose 1 = 2*r - 7. Let x(o) = -5*o + 13. Let t(b) = r*p(b) + s*x(b). Differentiate t(d) wrt d.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 + 57. What is the second derivative of 9*g**2 - 17*g**2 + 2 - 16*g**2 - 8*g**2 - z*g wrt g?\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8162?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1590041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3323079 is divided by 474687.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -2355?\nAnswer: 942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -1) + 34 + -38.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 16. Suppose 0 = 2*f - g*z - 4*z - 20, -5*f - 2*z - 10 = 0. Solve 0 = -4*k - l - 6, -3*l + 8 = -k - f*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 298 * -2.\nAnswer: -596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 12*l**3 + 2*l**2 - 1. Give n(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 12*w**2 - 10*w + 13. Let x be v(-11). Let s(o) be the third derivative of 1\/12*o**3 + 0*o**4 - x*o**2 + 0*o + 0 - 1\/120*o**5. Factor s(r).\nAnswer: -(r - 1)*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 10 = 4*c. List the prime factors of 1 + (c - 0\/(-5))*145.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.5 - -180.5. Let h = y + -188.00083. What is h rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/21)\/u**(-8)*(u**(-3\/4)\/u)\/(u\/u**(-2\/19)*u) assuming u is positive.\nAnswer: u**(6463\/1596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 313?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173 = 5*f - 5*b - 1023, -2*f + 345 = -3*b. Suppose -3*c + y + f = 0, -2*y + 9 - 3 = 0. Is 28 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**6\/((a*a**5)\/a)*a*a**(1\/5)*a*a\/((a\/a**(-2\/7)*a)\/a))**(2\/43) assuming a is positive.\nAnswer: a**(204\/1505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -2*p + 4\/3*p**3 + 2*p**2 + 261 + 1\/4*p**4. Determine f(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -1. Let k = -107 - -110. Solve u = 4*n - k*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5665*b - 15*b**2 + 5*b**2 - 5665*b.\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 1024*f - 79880. Determine k(78).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30655*a*x**3 + x**3 + 2*x - 3477 with respect to a.\nAnswer: 30655*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -103579 + 103579.2. Let k = 4 + -5. What is the closest to v in -5, k, -1\/12, 1?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -80\/39 and 59\/114?\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 3*t + 2 = t + 8 + 8, 0 = 2*w + 39*t - 238 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.0042 * 9104.1\nAnswer: 38.23722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18404.96 - -18405. Let o be 2\/(-8) - (1 + -1). Let l = 4 - 2. What is the second smallest value in o, l, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1969\/7463 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -439\/55 - -39\/5. Let s = 0.053 + -20.053. Let d = s - -19. What is the closest to 1 in 5, d, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -109*y**5 + 44646*y**3 - 12*y**2 + 522438*y?\nAnswer: -6540*y**2 + 267876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j = 17*j - 3*p - 70, j - 24 = -4*p. Calculate the remainder when 66 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 5*z - 5. Let q = 34 - 24. Suppose -2*y = -0*y + q. Calculate v(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 564.2 to the nearest ten.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 21*o**2 + o + 13. Let h be y(-21). Let l be (-18)\/h*2208\/36. Suppose 0 = 3*m - 36 - l. What are the prime factors of m?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 2. Let h be 0\/(z - (-2 - -2)). Suppose h = g - 2*g + 2. Let j(w) = -w**2. Calculate j(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -157577809\/1561582 - 1\/141962. Let p = 101 + u. Which is greater: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192782891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -221*i + 92319. Give p(416).\nAnswer: 383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((14\/(-24))\/(-7))\/((-11)\/(-22))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-38 - -75 - 4) + -8\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7975912034 to the nearest integer?\nAnswer: 1998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 96643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 12 - 45*j + 18 to k + n*j and give n.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16.82316 - -0.02684. What is g rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 9943308?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 1\/4 (c) -3 (d) 0.4 (e) 4\/153\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1029936094*w**3 + 960580782*w.\nAnswer: -6179616564*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mgm when three letters picked without replacement from ccgmgmdmmcmd.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 2*t - 114, 3*t - 69 = 4*k + 97. Suppose 5*x - 470 = -4*q, -2*x + 119 = 3*q - t. Suppose 2*o = 94 + x. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-4) + 289\/(-2) + -3. Let o = -73 - u. Let n = o - 57. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/18 + (8\/(-3) - (-291711)\/2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 39*l**8\/8 + 291*l**4\/4 - l**2 + 1988*l. What is the third derivative of v(c) wrt c?\nAnswer: 32760*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/3)\/(q*((q*(q*(q**(-4\/5)*q)\/q*q)\/q)\/q*q)\/q)*q**(-1\/18)*q**(-7\/4))**(-7\/6) assuming q is positive.\nAnswer: q**(4207\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/335814 and -71\/291.\nAnswer: 335814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1623*c + 6520 = -319*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + (sqrt(475) + (5*(2 + sqrt(475)) - sqrt(475)) - (-3*sqrt(475) + 0))**2 + 1).\nAnswer: -91491 - 2400*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 40130949?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r. Let v be i(-1). Let o(s) = -s - 4 + 7*s - v*s. Let t be o(5). What is the highest common factor of 88 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((3*(1 + sqrt(11)))**2 - sqrt(77)\/sqrt(28)).\nAnswer: 70*sqrt(11) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236963.\nAnswer: 17, 53, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2072*h + 2047*h - 375 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24432 - 2?\nAnswer: 24430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(3\/(-3)*5))\/((-4979)\/3830)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/15657 and -83\/238?\nAnswer: 219198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1)\/b*b**(5\/4)*b)\/(b**(-2\/5)\/(b\/(b*(b*b**3\/b)\/b))) assuming b is positive.\nAnswer: b**(-27\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 15) in base 13?\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2053447 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24634907.\nAnswer: 11, 2239537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5286270 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -5, 0 = 5*y - h - 2*h + 12. Let r = -9 - y. Let v be (-2 - 0)\/(r\/9). Solve 5*s - 2*s = 5*x + 5, -3*s + 3*x + v = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*r + 146*r + 2*k + 7096 = 0, 2*r - 1774 = -k. What is the remainder when r is divided by 128?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 7:14 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 172 (b) 1\/2 (c) -0.5 (d) -296 (e) -0.4 (f) -1\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -11 + -830 + 847.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 4 = 2*v. Let c(h) = -7*h - 7. Let n be c(-2). Solve 4*s - 3*a - n = 0, 28 = -v*s + 3*a - 7*a for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102\/(-608) - (-101)\/1616?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0060889 rounded to four decimal places?\nAnswer: 0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -13*g**2 - 22573*g + 318572. What is t(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 17*y + 158 + 973 = 0. Which is smaller: -345\/4 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 9*c**2 - 11*c - 8. Let f be g(-10). Let y = -25 - -43. Suppose 10*a - y = 4*a. Solve a*x + 4*r = -10, 0*r + 6 = -x - f*r for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o = 4*q + o - 19, -2*o - 7 = -q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p + 86*t - 42 = 83*t + 20, 2*t - 52 = -5*p - 14 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wp when two letters picked without replacement from xwbbbbbwp.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -7838.0009 to the nearest ten.\nAnswer: -7840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 869686.\nAnswer: 2, 17, 25579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*y + f + 4 = 0, f = -2*y. Let j(t) = 3 + 14*t - y - 10*t. Give j(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51386, 51509, 51700, 51959, 52286?\nAnswer: 52681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -19*o - 318. What is s(-16)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 18 = -26. Suppose -5 = -3*u + 1, -t*d = u + 142. Sort d, 0, -4 in increasing order.\nAnswer: d, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 + -112. Let n be 3\/2 + f\/(-2). Let b = -15 + n. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 56504241?\nAnswer: -56504246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**5\/3 + 74*p**4\/3 + 1180*p**3\/3 + 1800*p**2.\nAnswer: p**2*(p + 10)**2*(p + 54)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, f: 8}. What is prob of sequence vvvf?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 206029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**2*p**2 - c**2*p - 4*c - 3*p**2 - p wrt c.\nAnswer: 4*p**2 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4159 at most as big as -4159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 4*s**2 + s - 4. Suppose m - 6*m = 25. Let k be j(m). Suppose -k = -12*o + 8*o. Solve -5 = -t - o*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4635, -15087, -32507, -56895, -88251, -126575, -171867?\n\"Answer: -3484*r**2 - 1151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1797*d**2 - 40 + 205 - 163 to x*d**2 + c*d + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 339 (b) -3\/8 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 5581*i + 11155. Determine t(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 15 - 5 - 1 - 8*v - 8. What is i(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 65.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 90 - 141. Let h be 1 + -1 + -1 + w. Let x = -37 - h. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -209, -465, -883, -1463, -2205?\n\"Answer: -81*p**2 - 13*p - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 36 = 6. Let z(h) = h**3 + 7*h**2 + 8*h + 9. Let q be z(s). Let g(n) = -2*n**3 + 2*n**2 - 2*n + n**3 - 1 - 6*n**2. Determine g(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/2)\/(-15*11\/55)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 7, -0.5, 5, 4\/3, 55 in ascending order.\nAnswer: -0.5, 4\/3, 2, 5, 7, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 125442\/90 + 2\/10. Let n be r\/(-1275) - (-12)\/9. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 494*g + 20. What is the thousands digit of v(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 36\/5, -0.1, -3, 0.1 in increasing order.\nAnswer: -3, -0.1, 0.1, 36\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 4:54 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -90 + 60. Let t be ((-3190)\/(-33))\/(4\/h). Let c = t - -1506. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3439 + 7924 + 4769)*(-2 - 2*k + 2).\nAnswer: -18508*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -358333, -716661, -1074985, -1433305, -1791621, -2149933?\nAnswer: -2508241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -118 divided by 59?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/7, -38574, 0.4, -3 in descending order.\nAnswer: 0.4, -5\/7, -3, -38574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 15. Which is the biggest value? (a) -4\/7 (b) 58 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 n when two letters picked without replacement from {k: 1, b: 7, x: 4, n: 2}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 6, 200, 1, -18, 5 in ascending order.\nAnswer: -18, -2, 1, 5, 6, 200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/21? (a) 0 (b) 0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2. Let u(f) be the first derivative of 0*f + 3 + 3\/2*f**2. Give q(u(j)).\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 258 = v + v, 2*v = 5*s - 293. Let t = v + 237. Suppose -k + 16 = 5*z, 5*k + 3*z = z + t. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*q = -146*q + 26. Suppose 0 = 4*b - 162 - 58. Find the second derivative of 4*j**3 - 29 + b + 4*j - q wrt j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 1:09 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l = 2424 - 2680 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2267270 or -3\/2?\nAnswer: 2267270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -56726 minus 0.101?\nAnswer: -56726.101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/61811 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24875 divided by -9.\nAnswer: -24875\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 92 = -4*i + m, -3*i = 2*m + 55. What is the remainder when 1\/7 - 1614\/i is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1752, 13429, 45118, 106827, 208564, 360337, 572154?\nAnswer: 854023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 5*j**2 - 3*j - 11. Let a be n(-5). Suppose 0 = 4*t - 4*c - 24, 4*c - 7 = -a*t + 1. Suppose -108 = -t*i + 172. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30638*d - 42 = -30651*d - 5*v, -2*v + 27 = -5*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101111100 - -11011000111011?\nAnswer: 11111110110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -z + 1. Calculate the lowest common multiple of (-86)\/(-4) - (-1)\/2 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28674 by -118.\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10873?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98 - 10 = 36*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (20 + -11)) + 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2804998*a**2 - 5*a - 2. Let l be v(-2). Suppose l = -4*f + f. What is f rounded to the nearest one hundred thousand?\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/733, -1, -1\/159, -1\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 253690 + -253714.0066. Let l = d + 24. Round l to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 31501, 62237, 92973, 123709?\n\"Answer: 30736*j + 765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*(i\/(i*((i*i**(-4\/3)*i*i)\/i)\/i)*i)\/i)**(-14)*(((i\/i**12)\/i*i)\/i)\/(i\/i**11) assuming i is positive.\nAnswer: i**(-104\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 747096, 1494211, 2241326, 2988441, 3735556?\nAnswer: 4482671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 60. Let h = o - 10. What is the highest common divisor of 51 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 5, 2\/3, -6520?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from oooogoooogggoo.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2476240 divided by -495248\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 40b - -3?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of r**8\/6720 - r**7\/504 + r**6\/360 - r**5\/60 + 17*r**4\/12 + 11*r. Let o(m) be the third derivative of c(m). Determine o(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32290 - 36552. Let f(i) = 20121*i. Let t be f(-2). Let n = t - l. What is n rounded to the nearest 1000?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.068 + -27.712. Let f = -27 - u. Let h = f + -0.38. What is the second smallest value in h, 0.3, 1\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + v - 1. Let t be 0\/((-5)\/(5\/2)). Suppose t = 4*c - 12 + 12. Determine k(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/4*114\/(-665)*1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 73010 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45216125.\nAnswer: 5, 59, 6131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xt when two letters picked without replacement from smmtttsmxvtttt?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-2) - -2) + 1. Suppose y*p - 3 = 2*n + 67, p = 5. Let f = n + 48. Solve 4*r + 3 = f for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {n: 4, q: 10}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**2 + 3*m**2 + 0*m**2 - 11 + (m**2 + 0 + 0)*(-3 + 7 - 3).\nAnswer: 2*m**2 - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -5*q + 7395, 118*w - 114*w + 4*q = 7396. List the prime factors of w.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y*y**(-9)\/y))*y)\/y**(1\/3))**(-2\/21) assuming y is positive.\nAnswer: y**(50\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 371\/4 + (-2)\/(-4). Let s = -94 + y. Which is the second biggest value? (a) -1\/6 (b) s (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -11*k**3\/6 - 5*k**2\/2 - 9*k. Let j be d(6). Let a = 592 + j. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (199*b + 323*b - 338*b + 480*b + 496*b + 462*b)*(-34*b - 218 + 218) to q*b + x + k*b**2 and give k.\nAnswer: -55148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 7, -1\/2, -0.4, -0.2.\nAnswer: -1\/2, -3\/7, -0.4, -0.2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 391942 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -l - 4 + 17, 49 = 3*x + 5*l. Suppose 5*n - x*n = 3. Is n >= 1\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -13. Let c be 1\/(-4) - (-36)\/l. Solve a = c*a + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -7*d**5\/20 - d**4\/12 - d**3 + 5*d**2\/2 + 8*d - 3. Let b(y) = 11*y**3 + 2*y**2 + 9*y - 8. Determine 5*b(c) + 8*o(c).\nAnswer: -c**3 + 2*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14331, -57399, -129171, -229641, -358803, -516651, -703179, -918381?\nAnswer: -1162251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 29858 + 2?\nAnswer: 2985a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**2*x*x\/(x*x\/(x*x**(-5)*x)))\/((x**1\/x)\/x)**(4\/9))\/(x**(2\/13)*x**(-2\/7)*(x**(-1))**(-6)) assuming x is positive.\nAnswer: x**(-5261\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/487 + -495\/1948. What is the second biggest value in z, -7, -15?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.0513444ml?\nAnswer: 0.0000513444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1417035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 + 121*b**3 + 53 - 103.\nAnswer: 121*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/((5\/(-40)*126)\/(9\/6)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1544 and 129117.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**3\/2 + 5941*n**2 + 237008*n + 1989456 = 0.\nAnswer: -11842, -28, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccp when three letters picked without replacement from fpcpcpfppppc.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7 - (-510)\/50)\/(3\/105). Suppose -j*z = -105*z - 5775. Calculate the least common multiple of 7 and z.\nAnswer: 5775","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7669*l**5 + 7*l**4 + 8*l**2 - l + 224947 wrt l.\nAnswer: 153380*l**3 + 84*l**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a century?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.89 - 1.7. Let s = 0.9 - 0.91. Let u = q - s. Which is the biggest value? (a) 5 (b) -1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 10 = 10. Put n, -0.2, 0 in descending order.\nAnswer: n, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 871 and 134.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k. Let d(j) = 11*j. Let t(b) = -3*d(b) + 8*l(b). Let w(m) = -m. Determine t(w(n)).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*d = -15, 2*w + 18 = d + 4*d. Differentiate 15*h**3 + w - 4*h**3 + 0 wrt h.\nAnswer: 33*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 143*c**2 - 4874*c + 104. What is f(87)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1362*k**3 - 4328*k**3 + 1381*k**3 + 1317*k**3.\nAnswer: -268*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o. Let r be j(-8). Let w be (-5)\/260*r + 464\/26. Calculate the greatest common factor of w and 180.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/60)\/((-6)\/(-25)). Let k = -1\/4 - d. What is the closest to k in -1, 1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9256)\/414 - 38\/437) + 18?\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 8:41 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {f: 2, l: 5, e: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4\/5 - 98*z**3\/15 - 1274*z**2\/5 + 22638*z\/5.\nAnswer: 2*z*(z - 21)**2*(3*z + 77)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 674.6435 seconds in nanoseconds?\nAnswer: 674643500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 825551?\nAnswer: 825551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3586*y + 4311. Determine c(-1).\nAnswer: 725","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -3, -2, 4.\nAnswer: -3, -2, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11076243 = -19*a - 32699757. Round a to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(-15)*12\/(-2). Find the second derivative of -2*x - 9 + 2*x**4 - x**p + 9 wrt x.\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 6*f**2 + 1. Let v be s(-6). Is v*(-7185)\/(-25) - 4\/10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 4\/(-1 + 5). Calculate the lowest common multiple of (n\/8)\/(5\/60) and 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lsgs when four letters picked without replacement from gggssssslggsssg?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -n**7\/189 + n**6\/135 + n**5\/90 - n**4\/54 + n. Factor h(l).\nAnswer: -2*l**2*(l - 1)**2*(l + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-24)\/48)\/(5\/(-10)*-1). Which is greater: g or 3\/4468?\nAnswer: 3\/4468","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26995 greater than 1430692\/53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 160.3266 to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -21ba31?\nAnswer: -21ba33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 divided by -6?\nAnswer: -491\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79639, 159268, 238893, 318514, 398131, 477744, 557353?\nAnswer: 636958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.8, -88, -2\/17?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 13*n - 3456 = 0. Calculate the remainder when n is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 5*v - 8. Suppose -v*q = -42 - 54. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - k + 2*k)*(-2*k + 4*k + 0*k)*((-1 + k**2 + 1)*(k + 2*k - k) - k**3 + 0*k**3 + 2*k**3).\nAnswer: 6*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 39.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 785 - -2315. Calculate the remainder when a is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 6*k - 4. Let j be (-12)\/18 - (-74)\/(-6). Is c(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -76255*f + 11 - 1 - 43746*f. Let x be t(10). What is x rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/77 + (-6)\/(-22). Which is the closest to i? (a) 2 (b) -4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011211102220 (base 3) to base 7.\nAnswer: -24606540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8)\/u**4)\/((u*((u*u*u\/(u\/u**(-1\/2)))\/u)\/u*u*u*u)\/u*u)**(-5\/3)*((u*u\/(u**(-7\/3)*u*u))\/(u**(4\/3)\/u))**(-3\/23) assuming u is positive.\nAnswer: u**(-887\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**4 - 8*l**3 - 3*l**2 - 320*l. Let t(s) = 4*s**4 + 14*s**3 + 7*s**2 + 640*s. Let n(f) = 7*k(f) + 3*t(f). Find the second derivative of n(i) wrt i.\nAnswer: 60*i**2 - 84*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -5 + 4 + -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9029*r + 9086*r - 342 = 0. Calculate the greatest common divisor of r and 7512.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/sqrt(2) + 2 + sqrt(5) + (sqrt(5) + sqrt(500) + (sqrt(500) + -1 - sqrt(500)) + sqrt(5) - sqrt(5))**2.\nAnswer: -20*sqrt(5) + 608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1970 - -1971. Let t = -3 + 9. What is the fourth biggest value in t, g, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430546 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 1676*m. Let w(b) = -2*b**2 - b - 22*b + 23*b + 0*b**2. Determine t(w(d)).\nAnswer: -3352*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*1*sqrt(76) + -1 + (sqrt(76) - (sqrt(76) - (sqrt(76) + 1))) - -2*(sqrt(76) + 2)*5)*-2)**2.\nAnswer: 3200*sqrt(19) + 32000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m - 22. Let k(c) = -3*c - 8. Let i be k(-7). Let v be l(i). What are the prime factors of (-6)\/27 + (-110)\/v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-4)*-3*450\/27. Suppose t + 4*t - l = 0. What is the hundreds digit of (-222 - 2)\/(t - 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 5. Suppose 3*f = -f + k. Solve -f*w = b - 5, 3*b = 3*w - 8 - 13 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 7, 2, 13, -5, -1096 in decreasing order.\nAnswer: 13, 7, 2, 0, -5, -1096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, k: 1, c: 2, x: 8}. Give prob of sequence cxxk.\nAnswer: 7\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i + 4*i - 4*i)*(0 - 23 + 2) + 3*i - 2*i - 3*i.\nAnswer: -86*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**2\/8 + 75547*y - 1813119\/8 = 0.\nAnswer: 3, 604373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/3410830 and 53\/2728664.\nAnswer: 13643320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6855 - -7021. Calculate the highest common factor of 11 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 1)\/(10\/15). Solve 0 = p + 2*p - 2*q - 25, 0 = -g*p - 4*q - 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*4*(-58)\/(-464)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 210584.\nAnswer: -105292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**2 + 0*k**2 - 3*k**2 + (2*k - 3*k - k)*(0*k + 0*k - 2*k) + 3*k + 4*k**2 - 3*k to the form t*k + p*k**2 + z and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15896757 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 11*z - 18*z**2 + 5*z**3 - 3*z**3 - 54 + 0*z**3 + 43*z = 0. Calculate z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 29*b**2 + 16*b. Let a(u) = 44*u**2 + 25*u. Give -5*a(s) + 7*g(s).\nAnswer: -17*s**2 - 13*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from stssssakhktkqkhttksh. What is prob of sequence ht?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 208 = 3*g - 1570, p = 2*g + 451. Calculate the remainder when p is divided by 117.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 101, 103, 101, 95, 85?\n\"Answer: -2*k**2 + 8*k + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -131394, -263922, -396450, -528978, -661506, -794034?\n\"Answer: -132528*c + 1134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 11*z - 7 + 2 + 2*z**2 - 3*z. Is y(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 3. Let n(k) = 2*k**2 - 5. Let s(j) = 6*n(j) - 10*y(j). Let x(z) be the second derivative of -z**4\/6 + z. Calculate s(x(f)).\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**7)**(6\/7)*(z**(-4\/11)*z)\/(z**(7\/6)*z*z))**(-26) assuming z is positive.\nAnswer: z**(46085\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30271011?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*o + 6*o**3 + 64*o - 19*o + o**5 + (-o**3 - o**3 + o**3)*(-2 + 2*o**2 + 2).\nAnswer: -o**5 + 6*o**3 + 31*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 2*t + 72, -3*z = 4*t - 6*t - 93. Let l be 6 - (6 - 3)*1. What is the highest common divisor of l and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 0.2, -3, 0.5.\nAnswer: -3, -2\/15, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 + 36 = 6*w. Let j be 1638\/66 + (0 - 4\/w). Solve -j = 5*n - 0*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -14*f**4 - 400*f**3 - 12323*f**2 - 23458*f - 11532. Let j(h) = h**4 + 2*h**3 + 4*h**2 + 2*h. Let y(p) = -b(p) - 11*j(p). Factor y(u).\nAnswer: 3*(u + 1)**2*(u + 62)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -567 + 5255. Is 16 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o. Suppose 52 = 5*h - 8. Let i(d) = 8*d. Let w(x) = h*z(x) - i(x). Let c(r) be the first derivative of r**2 - 576. Give w(c(g)).\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*w*x**4 - 2*w*x**3 + 4*w*x - 7*w + 2*x**4 + 3*x wrt x?\nAnswer: -144*w*x**2 - 12*w*x + 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 118.1 - 118. Which is bigger: 132 or o?\nAnswer: 132","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121619053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0993336651 rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -635 (base 16) in base 11?\nAnswer: -1215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -481, -5, 4, 5, 21 in decreasing order.\nAnswer: 21, 5, 4, 1, -2, -5, -481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 71445.4 millimeters?\nAnswer: 71.4454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 33cab4c?\nAnswer: -33cab4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 78403 or 78401?\nAnswer: 78403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 586 a factor of 1335120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -3*h**4\/8 + h**3\/6 + 3*h**2. What is the units digit of p(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((3 - 5)\/(-2))\/(-1). Let s be r\/5 + 2\/10. Suppose 0 = 4*f - x - s*x + 182, 4*f = 5*x - 190. Calculate the common denominator of -7 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 - -36. Calculate the lowest common multiple of 16 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q + 2. Let o(l) = -13*l - 4. Calculate -o(p) + 6*y(p).\nAnswer: 7*p + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.1 (b) 2\/7 (c) 3 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a = 70 + 50. Let j be 7\/((a\/56)\/(4\/(-70))). What is the smallest value in j, -1\/8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 901 divide 4933443520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.9 - -9. Which is the closest to 0.1? (a) 16 (b) y (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.9215 tonnes in micrograms?\nAnswer: 7921500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 434779?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + 10038\/1260)\/(((-1)\/(-4))\/(1215\/(-60)))?\nAnswer: 27\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 7*c = -84 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 3*b - 16, -21309*b + 21304*b = -25 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 11. Suppose 0 = -6*d + 5*d + a. Let n(f) = -f**3 - 6*f**2 + 6*f - 4. Let u be n(-7). Solve -u*c = -1 + d for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271287906 to the power of 1\/3, to the nearest integer?\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/220 and 45\/176?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((9*n - 8*n + 5*n)*(-n + 0 + 0) - 10*n + 10*n - 2*n**2)*(-1 + 1 + 3) - n**2 + 3*n**2 - n**2 + (3*n + 0*n - n)*(4 - 4 + n).\nAnswer: -21*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408789369?\nAnswer: 3, 2339, 6473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(120) + sqrt(120) + sqrt(120))\/sqrt(12))\/(sqrt(10)\/sqrt(2)*4).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u. Let d(s) = 6309*s**2. Determine p(d(m)).\nAnswer: 18927*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + u + 3. Let r be k(0). Suppose -2*l + r = -1. Let t = 1665.9 - 1665.6. Which is the second smallest value? (a) t (b) -8 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, p: 12}. What is prob of sequence vp?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 5, t: 3, y: 1}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*(sqrt(90)*-1)\/((2*sqrt(20))\/sqrt(4)) + 2.\nAnswer: -1 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(70\/4))\/(56\/(-280)).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8004141 or -8004106?\nAnswer: -8004141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8093.293t?\nAnswer: 8093293000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 116 = 3*f + 119, -7*f + 17*z - 92 - 35 = 0 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -250 - -394. Let h be 64\/p - 44\/18. Which is greater: h or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 8*o - 3*a - 45, 0 = -4*o + a + 51. Solve 2*c = 2*v, -v = -3*v + 5*c + o for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzwwiwjwdjzi. Give prob of sequence wi.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/11, -1238, 0 in decreasing order.\nAnswer: 0, -2\/11, -4, -1238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -22.48 and -2.\nAnswer: -24.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6237 - -7018. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61132 (base 8) in base 7?\nAnswer: 133256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 3184657\/3 and 1061552 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**3 - 3*a**3 + 3*a**4 + 0*a**4 - 3*a**4 + a**4 + (-2 + a**2 + 2)*(0*a**2 + 0*a**2 - 2*a**2).\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 8:40 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 f when three letters picked without replacement from {f: 3, i: 5, h: 1, p: 3, t: 2, g: 1}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127455*c + 1 - 56137*c - 1.\nAnswer: -183592*c","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**4 + j**4 - 3*j**4 + (2*j**2 + 0*j**2 + 0*j**2)*(5*j**2 - 6 + 6).\nAnswer: 12*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + p - 38. Suppose 36*t - 46*t + 50 = 0. Suppose -t*q - 317 + 317 = 0. What is k(q)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 790 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 90945.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(sqrt(3) - (sqrt(66)\/sqrt(2))\/sqrt(11) - sqrt(3)) - sqrt(18)\/(-3*sqrt(6)*2).\nAnswer: -5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.05, 4\/7, -1, 2.4, 0.4, -1746?\nAnswer: -1746","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.8 + -1. Let b = -20.1 + 22. Let i = b - 2. Is i < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 622*k - 214*k - 13056 = 0 for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 19?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(343)*-2 + 5 + sqrt(35)\/(sqrt(5)*3 + sqrt(5)) + 6*(sqrt(7) + 3))**2 + 3.\nAnswer: -651*sqrt(7)\/2 + 13831\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/6 (b) 2\/9 (c) -53 (d) 1.3 (e) 0.4 (f) 2\/37\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5376 and 22829576?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 6*i + 3. Suppose 17*m - 10 = 12*m. Let y(z) = -7*z**m - 30*z + 6*z**2 + 29*z + 1. Calculate -s(r) + 5*y(r).\nAnswer: -4*r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01999526 rounded to four dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13 - (-1 - -2))*(0 + -1). Suppose -3*v = -10 - s. What is the lowest common multiple of 10 and v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9\/5 or -35?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/5 bigger than 12152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*b - 26 - 16 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bk when two letters picked without replacement from {b: 3, k: 1, m: 1, n: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 333920 to the nearest one thousand.\nAnswer: 334000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = m + 5*y + 11, -2*m + 19*y = 79. Let t(g) be the second derivative of -g**4\/12 + 4*g**3\/3 - 6*g**2 + g. Calculate t(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 5*y**2 - 6*y + 6. Let q be (2 - -6) + (2 - 4). Let v(x) = 10*x**2 - 11*x + 11. Calculate q*v(f) - 11*j(f).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 5) + -2 - (4 - 6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1179 (b) -37 (c) 0 (d) 2 (e) 6 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9995 * 122\nAnswer: 1219390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -265, -861, -2011, -3901?\nAnswer: -6717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 = -17*b - 3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -8 * -45483.014\nAnswer: 363864.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = 2*f + 3*q, 4643*f = 4648*f + q - 265. Solve f*u = -19 + 175 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 30*n + 3 - 60*n + 21*n.\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 14*b + 5. Let w be d(-12). Which is bigger: w or -164?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -3*b + 5*c + 60, -4*b + 45 = -c. Suppose 5*o - b = 19. Solve -5*s = 3*k - o, 0 = -4*k - 5*s - 2 + 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253945 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -425 + 1715\/4. Let z be ((-3)\/(-72))\/(20\/(-60)) - 9\/56. Is z at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8520303*h**5 - 2662435*h + 1 wrt h?\nAnswer: 170406060*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1521303 (base 7) to base 15\nAnswer: 414d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1101 + -0.1101. Is -144 >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10197 = -2*t - 3*y - 2915, t + 2*y - 3641 = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 128 and 2992?\nAnswer: 23936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 5*b + 10, 5*b - 8*b = 4*k + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -129.5 + 27.5. Let m = j - -102.0000791. Round m to six dps.\nAnswer: 0.000079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12121960*y + 24311846?\nAnswer: -12121960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30049717182 + p**2 - 30049717182.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9942757994 less than 1713?\nAnswer: 9942759707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 225172 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 8*t = -10*t - 136499996, -5*t - 109199990 = 4*h. Round h to the nearest 1000000.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(6\/(-3 - 3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 1 - 15 = -o, -8 = -2*q + 2*o. Let h(i) = -6 + 0*i + 7*i**2 + i + q*i. Let p(b) = -b**2 - b + 1. Suppose j = 11 - 5. Determine j*p(c) + h(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -n**7\/2520 + n**5\/30 + 7*n**4\/12 + 5*n. Let u(i) be the third derivative of y(i). What is u(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**2\/3 + 8*b + 18 = 0. Calculate b.\nAnswer: -9, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1395161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 3*h**3 - 15*h**2 - 39*h - 21 = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*y**5 - 36*y**4 - y**2 - 49 wrt y?\nAnswer: 180*y**2 - 864*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.886471 rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -693*y + 2592 = -645*y. What is the least common multiple of 54 and y?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in -79, -1, -21, -4, 2?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nncctcnncncctnnnn. Give prob of sequence cctc.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -17. What is the nearest to 0 in -2\/11, 3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(8\/(-30))*3\/27.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 9:38 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100 and 1575.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, u: 1, o: 1, m: 1, z: 1}. Give prob of sequence lm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1140548414 to the power of 1\/3, to the nearest integer?\nAnswer: 1045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 912602, 912599, 912596, 912593, 912590, 912587?\nAnswer: 912584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 274*p**2 + 50*p + 90. Is 15 a factor of s(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-9\/8)*((c*(c*(c*c**13*c)\/c*c)\/c)\/c)\/c assuming c is positive.\nAnswer: c**(103\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 12 = 0, 5*b - 42*a = -37*a - 35 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32960557 a multiple of 1528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/394434 and 27\/241043.\nAnswer: 4338774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4593814.\nAnswer: 2, 2296907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t - 4*t + 3*t + (5498 - 1938 - 87 + 3825)*(-5*t + 5*t - 3*t) as w + z*t and give z.\nAnswer: -21895","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*d**2 - 148\/3*d + 2738\/3.\nAnswer: 2*(d - 37)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((3*((sqrt(88) - (2*sqrt(88) - sqrt(88))) + sqrt(88)) - 6*(sqrt(88) - 1*sqrt(88)))\/(-2*-3*sqrt(392)))**2 + 1.\nAnswer: 207\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001451390222 rounded to 6 decimal places?\nAnswer: -0.001451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 339076097 to the nearest integer?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 297.0524 days to nanoseconds.\nAnswer: 25665327360000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-532625)\/15 + -2)*(-78)\/26 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-24)\/(-10))\/(12\/(-200)). Let r be 1*129 - (-8)\/(y\/(-15)). Suppose -16*x = -5*x - r. Solve 0 = -3*b - 2*o + 4*o - x, -b - 2*o = -4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-3))\/(1\/3). Suppose 4*l - 11 = u, -7 = 3*u - l + 2*l. Let x(h) = h**3 + h**2 - 6*h + 3. Let w be x(0). Sort w, b, u in decreasing order.\nAnswer: b, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1597630?\nAnswer: 2, 5, 159763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68384126?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3170877302 rounded to the nearest 100000?\nAnswer: 3170900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.11 + -0.79. Let u = 1 + d. Let l = -31.23 - -31.28. Sort l, 4, u in ascending order.\nAnswer: l, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 27\/2 of a tonne?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/2 of a century?\nAnswer: 18600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.8 + 17. Let w = -10.2 + z. Which is the third smallest value? (a) w (b) 2 (c) 0 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 10 = -q, q - 4 = -2*c - q. Suppose -5*y + 222 = c*n + 47, -y = 4*n - 35. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -m + 36. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 32*k**2 - 32*k - 29. Let i be w(33). Find the third derivative of -1174*m**i - 1111*m**4 - 6*m - 3*m**2 + 2228*m**4 wrt m.\nAnswer: -1368*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3484 - 3016. Suppose -4*d + 10 = -10. Suppose -z = 5*k + u, k = d*z - 215 - 435. Round k to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -262 + 271. Let g(s) = -s + 17. Calculate g(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110 - 1011111100110?\nAnswer: -1011111110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 4*t**2 + 2*t + 4. Let v be s(3). Let x be 39*(-8)\/6*6\/8. Let n = v - x. Does 20 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/25)\/(423\/(-1410)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 4:24 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -1259*g**2 - 3*g + 15. Let w(i) = 420*i**2 + i - 4. Determine 2*q(j) + 7*w(j).\nAnswer: 422*j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a second in milliseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 109243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -945*s**4 + 314710*s**3 - 945765*s**2 + 648500*s - 16500 = 0. What is s?\nAnswer: 5\/189, 1, 2, 330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z - 65*z**3 + 64*z**3 - z + 1 - 3*z**3 - 1 + (-2 - 2*z + 2)*(-3*z**2 + 2*z**2 + 2*z**2) to r*z**2 + m*z**3 + c*z + l and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 448678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10892 and 97042274?\nAnswer: 5446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -4 - 1 - 4 - s. Let p be y(-6). Which is the second smallest value? (a) p (b) 1 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in ninety-one halves of a kilogram?\nAnswer: 45500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 122 and 732.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1054d1 (base 16) in base 8?\nAnswer: 4052321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -12. Let w = 56 - 57. Sort w, t, -5 in increasing order.\nAnswer: -5, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 5*o**2 - 7*o - 7. Suppose j - 30 = -4*j. Let z be a(j). Let m = 38 + z. Does 16 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 436, 798, 1164, 1534, 1908, 2286?\n\"Answer: 2*n**2 + 356*n + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 1681*n**3 + 1811*n + 3. Let k(g) = 560*g**3 + 603*g + 1. Let w(d) = -8*k(d) + 3*y(d). Find the second derivative of w(f) wrt f.\nAnswer: 3378*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 177\/10 + -1583\/90. What is the fourth biggest value in -1, -9, 0.2, m?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 9907258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f - 21. Let r(u) = 812*u**2 - 6*u. Give v(r(a)).\nAnswer: -1624*a**2 + 12*a - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - -4 - (-314)\/(-1). Let q be ((-9)\/6)\/(18\/g). Calculate the highest common factor of 39 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 0.2, -3, -4, 2\/9, 170, 2?\nAnswer: 170","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13257, 52662, 118339, 210288?\nAnswer: 328509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214 = -4*c + 146, -3*t + 0*t = -4*c - 80 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmr. Give prob of sequence mr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160.6 + 0.087.\nAnswer: 160.687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 37517.998975 plus -1.03?\nAnswer: 37516.968975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -134, -301, -544, -869?\nAnswer: -1282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 105 = 17*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1439 + -1409 - (0 - -25) - (79 + -3)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**2 + 7757*x + 130970. What is q(-17)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.8 from -0.036059.\nAnswer: -3.836059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-8) - (-66)\/4. Let y = 6546 - 6490. Calculate the highest common divisor of f and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1055781 + 18.\nAnswer: 18.1055781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + t**2 - t + 2. Let u be a(-2). Let l(b) = 7 - b + u*b + 0*b. What is the smallest common multiple of l(5) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010100011 + -10101?\nAnswer: 1010001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 2*m - 5191, -n = 14 - 19. What are the prime factors of m?\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296196.\nAnswer: 2, 3, 24683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -4*p - 5. Let j be 135\/18*(-8)\/p. Let f be (-202)\/j + 3\/(-15). Solve -3*s + 20 = -5*m - f, 5*s = -3*m + 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 less than -34?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18501091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 8*m**2 - 5*m. Calculate x(-6).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3395\/6 or 1002.06?\nAnswer: -3395\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 2*i - 40. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.01 + -0.31. Let s = -1 - -1.6. Let l = k + s. Sort -2\/5, l, -4 in descending order.\nAnswer: l, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 8 = -2*s. Suppose 2*q = -c - 1, q - 4*c - 17 = -4. What is the nearest to q in 1, 5, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.158 or -2258803?\nAnswer: -0.158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11598 + -208867\/18. Let x be (-191)\/(-36) + ((-88)\/8 - -10). Let v = -4\/9 - x. What is the common denominator of v and m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*m**3 - 7*m**3 + 6*m**3)*(m**2 - 4*m**2 - m**2).\nAnswer: -40*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 393946 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - g = -81 + 473, -772 = -2*b + 5*g. What is the least common multiple of 36 and b?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -19*b**3 - 967*b**2 + 33*b - 3516. Determine y(-51).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42250 + 76809. Round j to the nearest 100.\nAnswer: 34600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 29\/5 of a tonne?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/165896 and 7\/3026.\nAnswer: 2820232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 406416259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -35*q. Let w be ((-6)\/(-4))\/((-2)\/8). Let n(t) = -2*t**2 - 3. Let x(r) = -r**2 - 1. Let k(i) = w*x(i) + 2*n(i). What is s(k(c))?\nAnswer: -70*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 10 = g, -d - 17*g - 14 = -14*g for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/1788587983 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 994 = -997*c + 7973 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-7*(-259)\/49)?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(98) - (sqrt(98) + 4 + sqrt(98) + 0 - sqrt(98)) - (sqrt(98) + -2*sqrt(98))*-1) + (4 + (sqrt(98) - (sqrt(98)*1 + sqrt(98))))*5 + -2)**2 + -1.\nAnswer: -924*sqrt(2) + 3648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 91 - 100. Let m(j) = -5*j**2 + 4*j + 15*j**2 + j + 5 + j**3 + 3*j. What is m(f)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4*c + 6. Let v(y) = -4*y + 7. What is -2*v(b) + 3*z(b)?\nAnswer: -4*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7533 and 9207.\nAnswer: 82863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j**2 - 34*j - 101. Give f(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 10 + 11 = 0 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4849\/9 + -539. Let n = -0.7 + 1. Which is the smallest value? (a) v (b) n (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17.025 - -0.025. What is the second biggest value in c, -1, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s = -s + 4*t - 33, 4*s = -2*t + 24 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 892*j**2*r*v + 391*j**2 + 39266*j*r*z + 54033*j*v*z - 2*r*v*z + 4*z wrt r.\nAnswer: 892*j**2*v + 39266*j*z - 2*v*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x. Let l(o) = -8*o. Let d(z) = 5*l(z) + 16*r(z). Let w(u) = 4*u - 2. Let t be w(1). Let n(v) = -t*v**2 - v**2 - v**2 + 5*v**2. Determine n(d(g)).\nAnswer: 64*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*i**3 + 27*i**3 + 8*i**2 + 16*i + 11*i - 43*i**3 + 2 as n + h*i**3 + m*i**2 + a*i and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 1. Let q be m(-1). Let x(i) = i**2 - 2*i + 7. Let b(g) = g**2 - 3*g + 8. Let w(l) = -2*b(l) + 3*x(l). Let a be w(q). Solve 4*d - a*d = -4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (2*sqrt(11) + -2)) + -3 - -4*((sqrt(891) + 3)**2 - sqrt(891)).\nAnswer: 179*sqrt(11) + 3599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 555\/601, 0.8, -5, 4?\nAnswer: 555\/601","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 156954 to the power of 1\/2, to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 5\/3 (c) 122 (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36872298 divided by -18436149?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 14 (b) 2\/7 (c) 0.02 (d) -1 (e) 37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n - 21*n**2 + 52 - 166 + 3*n.\nAnswer: -21*n**2 + 2*n - 114","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11622 (b) -106 (c) -5 (d) 2 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z - 2. Let s be (2 + (-1)\/1)*3. Let p be l(s). Suppose a - p = 1. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4*u + 12. Let m be ((-5)\/2)\/((-1)\/(-2)). Let d(b) = b**2 + 10*b + 18. What is the remainder when f(m) is divided by d(-10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 - 1 - 2) + 1. Let n(t) = -8*t + t**2 - 8 + p*t**2 + t**3 + 0*t**2. Give n(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/229622292 and -131\/18.\nAnswer: 229622292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 903 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -192*c - 43578. Give b(-227).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*u, 3*j - 3*u + 5 = j. What is the units digit of (-3 - (j + -3)) + 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -37 + -6*4\/(-6). Let g = 38 + a. Find the second derivative of -7*w - 17*w**g + 5*w**2 - 5*w**2 + 10*w**5 wrt w.\nAnswer: -140*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 7:44 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 12*x - 169. Calculate g(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(114)\/(sqrt(42)\/(sqrt(14)\/sqrt(2))) + (-1*sqrt(2793) - sqrt(57))\/sqrt(3))**2.\nAnswer: -2793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 10:13 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = -5*p + 4*w, 80 = 2*p + 3*p + 5*w. Let v = p - 12. Suppose -4*r + v*r = 110. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7746830\/3 or 2582276?\nAnswer: 2582276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13696*r - 3366 = 13498*r for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.6 less than -65245467?\nAnswer: -65245506.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6194 - 49623\/8. Let k = -5933 + 12095\/2. Let y = 1078\/9 - k. Calculate the common denominator of x and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 0.2. Let z = -7.8 + 9. Let k = -1.5 + z. Which is the second biggest value? (a) d (b) 1\/2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 6*b**2 - b + 4. Let c be g(6). Let r(u) = u**3 - 4*u**2 - 6*u + 1. Let q be r(5). What is the closest to -0.1 in c, -0.2, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, v: 1, t: 10, y: 5, s: 2}. Give prob of picking 2 s.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2948 is divided by 1458.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**2 + 4*w**2 - 3*w**2 + 6*w**2.\nAnswer: 13*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 5\/6*d - 1 - 1\/6*d**2 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1635 - -1669. Calculate the greatest common divisor of y and 391.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**4 + 3*j**2 - 21 - 13 + 3*j**3 + 35 - j. Let f(h) = -h**2 + h - 1. Let q(y) = -f(y) - z(y). Factor q(m).\nAnswer: -m**2*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 + -0.31. Suppose 41*q = 9 + 32. Which is the nearest to q? (a) l (b) 5 (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 527005391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -192.9797 - 0.0203. Let w = 193 + v. Let h = -3 - -4. What is the smallest value in w, h, 3\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddqdsddqdsdqqq. Give prob of sequence dqdd.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v**2 + 29*v - 64. Let z be y(-9). Sort z, -5, -3\/2, 1\/6 in increasing order.\nAnswer: -5, -3\/2, z, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -5 + 21. Let i = -27 + 34. What is the first derivative of -i*z**2 + 8 - 7 - q wrt z?\nAnswer: -14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -599303704, -599303703, -599303702, -599303701, -599303700?\nAnswer: -599303699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -29948.2053 rounded to the nearest one thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/5, -2, 11.\nAnswer: -2, -1, -2\/5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vqvqvvv.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + k**2 + k + 4. Suppose 5*z + 7 = 32. Suppose -4*u - 3*j = 1 + 8, -z*j = -2*u + 15. Suppose -3*l - 4 - 1 = b, u = l + 3*b + 15. Give a(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 263. Let p = t - -19. Let l = 59 - p. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -32.5 from -5133334486.\nAnswer: -5133334453.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 9*h. Let j(q) = -27*q + 22*q + 35*q + 61*q. Calculate -21*f(o) + 2*j(o).\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 27*t**2 - 11*t + 281. Calculate p(27).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -10. Let r be (x\/3)\/(16\/24). What is the derivative of 3 - r*j**3 + 4 + j**3 - 3 wrt j?\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23505 - 23481. Solve 597*a - r = 621*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 24. Let i(g) = 13*g**3 + 8*g**2 - 11*g + 15. Let v be i(y). Suppose v = -24*l + 29*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1416 and 32.\nAnswer: 5664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 10, s: 1, h: 2, r: 1}. What is prob of sequence srb?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 169268\/60 + 44\/(-330). Let d be (-812629)\/(-288) + (-4)\/18. Let l = b - d. Find the common denominator of -79\/4 and l.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1300 divided by 25.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(4\/7)*q**(-9\/2)\/q)**(-12\/7))**(8\/9))**13 assuming q is positive.\nAnswer: q**(4784\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.57*-3.696.\nAnswer: -42.76272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1638)\/14 + 149 - -45?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 46*k - 61. Is h(10) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2. Let y be l(0). Suppose 5*b + 2*f - 1 = -y, -3*b - 3*f - 3 = 0. Calculate the remainder when (1\/(-3) - b)*-12 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42.451 + -42. Let k = -2831 - -2830.5271. Let g = a + k. What is g rounded to 3 decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -11*x**2 + 1669*x + 323. Give r(152).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2094.\nAnswer: 2, 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 788 = i. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -24137210.\nAnswer: -24137215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 a factor of 118977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x. Let t(o) be the third derivative of -o**7\/252 - o**4\/8 - 6*o**2. Let v(h) be the second derivative of t(h). What is m(v(g))?\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y**3 - 2*y**2 + y + 2. What is q(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1337 - 259 = -485*p + 466*p. Calculate the remainder when 127 is divided by p.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 94.9 - -364.1. Let r = 4810955.9478 - 4810497. Let y = g - r. What is y rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 18 - 10 - -9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 19 = -2*s, 15*s - 14*s - h - 8 = 0. Determine o so that 26\/11*o**s - 2\/11*o**4 - 26\/11*o + 0 + 2\/11*o**2 = 0.\nAnswer: -1, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 34. Suppose -j*p = -20*p - 123. What is the second derivative of 16*s**3 + 41 - p + 24*s wrt s?\nAnswer: 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + b + 30. Let r be n(0). Suppose -g = 4*g + r. Find the common denominator of (1 + g\/(-27))*6 and 5\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 71*g - 66*g. Suppose 158 = -g*r + 174. Solve -4*f + r = -0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -133691290*a**3 - 102457455.\nAnswer: -401073870*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1072461201?\nAnswer: 3, 7, 17, 53, 56681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (5 - 5 - -12) - 9.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (31 - (-18 - -64)) + (12 - -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 - 12360564*l - 19097942799762.\nAnswer: -2*(l + 3090141)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13488\/(-22480))\/(2\/15).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 46389?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/3 in -1, 24.4, -6718, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-6*1\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 61 = -2*o. Suppose 70*l - 18 = o*l. Let r(a) = -2*a - 2. Let h be (-3)\/(2 - (-7)\/(-3)). Let w(n) = -n**2 + 8*n + 9. Determine h*r(b) + l*w(b).\nAnswer: -2*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 - -32. Let t be (0 - 9\/3) + n. Solve -4*s + s = -t*r - 27, 13 = 5*s + 3*r for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1409031?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*x**3\/7 + 11721*x**2\/7 - 545445*x + 181629.\nAnswer: -3*(x - 651)**2*(3*x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2809413?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -7, 0.04, 22 in ascending order.\nAnswer: -7, 0.04, 2\/3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 31 - 15)*(-15*q - 10 + 10).\nAnswer: 525*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 27 + 15. Suppose 0 = -21*x + 22*x - d. Suppose x*f - 3*f - 5394 = 5*c, 4*f + 4*c - 7160 = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.7014 + -3.3. Round w to 2 decimal places.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -40\/7 (b) -92 (c) -3\/5 (d) -109\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6, 2, -52, -2\/11, 0.1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 1)*-1 - 1. Let z be w\/(-8) + (-50)\/8. Calculate the remainder when (-112)\/z - 2\/3 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 5*n + 17, -2*z + 5*z - 9 = n. Suppose 2*l - 4*l = z*d - 24, -4*l + 36 = -2*d. What is the smallest common multiple of 2 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 90.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(12) - -1*sqrt(12)))\/(sqrt(144) - sqrt(144)*-1) - -5*(-2 + -3 + -1*sqrt(3)).\nAnswer: -25 - 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9*(12\/(-9))\/(-1). Let y be (-3)\/a - 9\/(-4). Suppose 4*f - 361 = q, 1 + y = q. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 4 - 6)*(357*q**2 + 28*q**3 - 357*q**2)*(3 - 5 + 1) - 2*q**3 - 3*q + 0*q + 4*q in the form m*q**3 + f*q + u*q**2 + v and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (9 - 13 - -2 - -11 - -89)\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(((-14)\/(40 - 12))\/((-15)\/(-10))).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 303 + -303. Put 2\/5, k, 16\/7, 0.1 in increasing order.\nAnswer: k, 0.1, 2\/5, 16\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45.818 + -0.182. Let v = n + 59. Which is the nearest to -0.1? (a) 0 (b) v (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*w**4 - 41 + 41 + (-3*w**2 + w**2 + 8*w**2)*(-2*w**2 + 4*w - 4*w).\nAnswer: -18*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 119214 or 119207?\nAnswer: 119207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -46*q**3 + 33*q**2 - q - 9227?\nAnswer: -138*q**2 + 66*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 737 and 201.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 7*p - 3. Let o = -8 + 16. Let i be u(o). Solve -i*h + 2*v = -14, -2*h = 3*v - 2 + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 0 = -4*i + 9, -i = 3*u + 14 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 - -2. Let t = g + -15. What is the greatest common divisor of t and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-70))\/(304\/(-3648)*24\/(-5))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.059 + 91.059. Let z = u - 95. Which is the third smallest value? (a) 4 (b) -0.2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*i + 47*i + 36*i + 39*i + 6*i**3.\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(6\/16))\/(4\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1287541083 to the nearest integer?\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f = -41*f + 22126. What is the hundreds digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 32 + 0?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*n + 56 = 63 + 113 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 2:42 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 651 minutes before 2:31 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4)*(5 - 5 + 4*j) + (-8*j + 0 + 0)*(5 - 1 - 2).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15475 = 2*u + 3*d, -4*d + 23214 = -0*u + 3*u. What is the hundreds digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 5*b**3 - 17*b**2 + 17. Let d(t) = t**3 - 7*t**2 - t + 7. Let u(i) = i**3 + i**2 + i - 1. Let h(x) = -d(x) - u(x). Give -17*h(z) - 6*v(z).\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -9*j**2 + 21*j + 21. Let f(n) be the third derivative of n**5\/60 - n**4\/12 - n**3\/3 + 2*n**2. Let d(k) = 63*f(k) + 6*q(k). Is d(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14377.478 rounded to the nearest 10?\nAnswer: -14380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -193 (b) 2 (c) -670\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -109\/4 + 771\/28. Let m be 77\/35 + 1\/(-5). Suppose 3*z + 25 = -m*z. What is the nearest to i in 0, 3, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/((-65)\/(-260))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -232 + 581. Let x(j) = -c*j + 694*j - 347*j. Let f(d) = -d + 2. Let y(v) = 3*v - 9. Let o(b) = -9*f(b) - 2*y(b). Calculate x(o(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqcbbccbqqbcbbbq. Give prob of picking 2 b.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 126850045?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 107999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5*u = -2 - 4, 3 = a + 4*u. Suppose o = a*o - 28. Suppose 3*t - 19 = 2. Calculate the greatest common factor of o and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*n = -0*f - 5*f - 33*n - 40*n + 10 + 28, 0 = -3*f + n + 16 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 18*m - 22 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (7 - 12 - (1 + -6))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 16176*q + 113222. What is p(-7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**3 + 13*a**2 + 18*a**2 + 0*a**3.\nAnswer: 4*a**3 + 31*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -85.1 - 0.39?\nAnswer: -85.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 706 + 694 = -0*z. What is the highest common divisor of 1925 and z?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 3293837.\nAnswer: -3\/3293837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p**2 + 2*p**3 - 2 + 0*p**2 + p**2 + 4*p. Let i be z(3). What is the highest common factor of i and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 157761*l**2 - 29*l. Let d(z) = -z**2. Give v(d(a)).\nAnswer: 157761*a**4 + 29*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.30311814774 and -0.4.\nAnswer: -0.09688185226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1259610*j**2 + 637*j**5 - 1259610*j**2 + 59*j wrt j.\nAnswer: 12740*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 56*m**2 - 134*m - 583. Give a(52).\nAnswer: 3265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 122e5465 + 2?\nAnswer: 122e5467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -8*t**2 - 406*t - 2764. Calculate l(-43).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 207*i + 33. Let z(n) = -52*n - 8. Let c(a) = -5*m(a) - 21*z(a). What is the remainder when c(3) is divided by 9480\/270 + (8\/(-9))\/8?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*u + 12. Let r be (-190)\/20 + u\/(-2). Let w = r - -23. Solve 2*q - 5*n = 5*q - 15, -4*n + w = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 244740 and 54169120.\nAnswer: 162507360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -3658?\nAnswer: 3653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 26 = 4*r. Let z(j) = 5*j**2 - 38*j + 14. Let p(s) = 3*s**2 - 19*s + 7. Let k(y) = -7*p(y) + 4*z(y). Is k(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 69906969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*z + 3*v, -4*z = -2*v - 3*v - 36. Suppose -z + 2 = -2*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 w(u) = u**2 - 6*u + 2. Let p be 24\/9*(-9)\/(-4). Let n be w(p). Factor -3*q**2 + n - 2*q - 7*q**2 - 2*q**2.\nAnswer: -2*(2*q + 1)*(3*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -14. Let g = 6.4 - m. Which is the biggest value? (a) g (b) -0.3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k - 9*k - 43 + 42 to the form d*k + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -424, -384, -306, -190, -36?\n\"Answer: 19*l**2 - 17*l - 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53 - -39. Let q = -729 - -726. Put 10, -1, q, i in decreasing order.\nAnswer: 10, -1, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2676 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -6*o - 1. Suppose -a - 2*y = -0*y + 10, 0 = -4*a - 3*y - 20. Calculate the remainder when 21 is divided by h(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r + 4*l = 26*l - 38, 4*r - 4*l = -0*r + 28 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7\/28 + -3033*6\/(-72) is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 126609 and -5?\nAnswer: -633045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2613*i**3 + 3807*i**2 + 3807*i**2 - 7614*i**2 + 664*i**3.\nAnswer: -1949*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85095 is divided by 85090.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17810 - 4996. What are the prime factors of w?\nAnswer: 2, 43, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 4, 0.047, -4\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.29 + -1.294. Which is the nearest to -1\/4? (a) w (b) 4 (c) -0.4 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 8*h**2 - 736*h**3 - 3 - 732*h**3 + 1467*h**3 + 8. Give b(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 b when two letters picked without replacement from {q: 1, o: 1, b: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = -8*l + 2*v, -3*l - 12 = 4*v - 22 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 13*k)*(5 - 5 - 6)*(k**4 + 3*k**3 - 3*k**3) + (k - 3*k + k)*(k**2 - k**2 - k**4).\nAnswer: 79*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 87 = -2*c, 4*f = -4*c + 8*c + 64. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 150 and 20550?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-3) - 14\/(-21). Suppose -4*j - p = -10*j. Suppose -11 + j = -5*c. Solve -6 = -4*x + c*u, 0 = 3*x + 4*u - u - 27 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -609*c - 1789. Let v be q(-3). Solve -6 = 37*m - v*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5640857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j - 10, -4*t + j = -2 + 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1118983667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 z when two letters picked without replacement from {q: 2, z: 4, o: 2, f: 4}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*p = -218*p - 10, -3*n + 4 = p for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2516.961 hours in milliseconds?\nAnswer: 9061059600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -19*h**4\/4 + 10*h**3\/3 + 20. What is the third derivative of q(j) wrt j?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 237704415?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 8. Suppose -c*g - 2*x = -47, -5*g + 26 = 2*x - 59. What is the remainder when 37 is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of 7*u**4\/12 - u. Let g(p) = 32*p + 55*p - 83*p. Give l(g(j)).\nAnswer: 112*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -10*o**3 - 2*o + 1. Let m be b(1). Let v = -5 - m. Let a = -53 - -55. What is the lowest common multiple of a and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3255650632?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**2 - 3*p + 6. Let z be o(0). Suppose 0*w + z*w = 468. Calculate the remainder when w is divided by (-2 - -7*4) + 1.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23707)\/(-471))\/(-151) - 2\/102?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 2 (c) -4 (d) -0.1 (e) 2\/107 (f) -384 (g) -121\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*l - 12 - 16*l - 4*l as m + n*l and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 74263 (base 8) in base 5?\nAnswer: 1442044","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**2\/3 + 124*r + 5766 = 0.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 10*p. Let d(b) = 34*b - 51. What is u(d(z))?\nAnswer: 340*z - 510","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/((-110)\/8))\/((-52)\/(-10))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10776 divided by -5\nAnswer: 10776\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25\/31, -5, -592\/3 in descending order.\nAnswer: 25\/31, -5, -592\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10762 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**2 - 67*f - 50. What is l(24)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -30999, 0, 4, 22 in decreasing order.\nAnswer: 22, 4, 1, 0, -30999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22600?\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 * 7593.\nAnswer: 6833.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2661*a**2\/2 + 263463*a\/2 + 1188 = 0?\nAnswer: -99, -8\/887","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.50676 and -4.\nAnswer: -3.49324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -169366.62 to the nearest 1000.\nAnswer: -169000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4*d**3 - 2)*(-2 - 3 + 3)*(-2*d + d - d) + d**4 + d**4 - d**4 + (2*d - d + 0*d)*(-d**3 + 6*d**3 - 4*d**3).\nAnswer: 18*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o**2 + 0*o + o - 5*o**2. Let w(b) = 45*b**2 + 1 + 51*b**2 + 63*b**2 - 210*b**2 + 48*b**2 + 2*b. Determine 2*i(h) - w(h).\nAnswer: h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-58 - 16*v + 58)*(4 - 4 - 1)*(-21*v - 505 + 505)*(4*v + v**2 + v - 3*v) as z*v**3 + m*v**2 + j + h*v + q*v**4 and give z.\nAnswer: -672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 225\/150*8\/414.\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5*(sqrt(720) - sqrt(720)*2) - (0 + (sqrt(720) + 1)**2)) + ((1 + sqrt(720))**2 + 1 + sqrt(720) - (-2 + 1*sqrt(720))).\nAnswer: 3 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 58 (b) -55 (c) 0 (d) 0.1 (e) 13 (f) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11953 + 31473. Does 61 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*a - 8*a - 7*a**2 + (0*a - a - a)*(5 - a - 5) to h*a + o + j*a**2 and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b - 5. Let s be o(4). Let k(p) = -3 + 25*p**2 + 4 - 1. Is k(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 153254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -9*o**2 + 66*o + 118. Determine n(9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8*(0 - -1))\/(-2). Solve -5*d - t*o - 5 = 0, 2*d - 3*o + 9 + 16 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eteteetgetttettttt. Give prob of sequence tgtt.\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -17. Let v = -1493 - -1516. Is -1*5\/(o\/(-6))*v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(60) - sqrt(60))\/sqrt(6) - sqrt(10))\/sqrt(5).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -397806, -397827, -397870, -397941, -398046?\nAnswer: -398191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -46*o - 98. Let r be x(8). Is r\/(-2)*(-32 - -33) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35843 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: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 206676 and 482244.\nAnswer: 1446732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, 0, 1, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 - 55. Let v = 17.997 + h. Round v to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -6\/11 (b) 2\/9 (c) -3.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2*(1\/35)\/(14\/49)*(-110)\/8\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 32?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.71 + 0.39. Let v = n + -0.1. Are v and -3\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*d - 13*d - 3 + 1.\nAnswer: 23*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -95457, -95603, -95749, -95895?\n\"Answer: -146*l - 95311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -97\/13 - -911\/143. Let z = p + 37\/44. Which is the third smallest value? (a) 0 (b) z (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -75052*w - 77093*w + 138585*w as i + u*w and give u.\nAnswer: -13560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w + 14*w - 4 = 0. Let m be 3 - w - 3\/(-3). What is the units digit of (-164)\/m*(-4 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 + -26. Suppose -531 - 36 = -3*n - 3*u, i*n = 3*u + 770. Let j = -107 + n. Is 14 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2197 (b) 4 (c) 0.3 (d) -2\/9 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88073, -88068, -88059, -88046, -88029, -88008?\nAnswer: -87983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j + 5*l + 64 = j + 7*l, 4*l + 0*l - 95 = -l for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 99647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -359\/4 - -2593\/28. Suppose 2*s = -3*s + 20. Which is smaller: b or s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 26*y**3 - 30*y. Let h(c) = -9*c**3 + 10*c. Let j(b) = 16*h(b) + 5*p(b). Find the second derivative of j(r) wrt r.\nAnswer: -84*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -1\/2*o**2 - 30*o - 1\/6*o**3 - 1\/20*o**5 - 1\/12*o**4 + 0. Let j(v) = -2*v**2 - 2*v - 2. Determine 2*a(n) - j(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(520\/(-12)))\/(-3)*-4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 206233 + -14022725\/68. Let i = 75691\/34 - 2226. Let g = u - i. Find the common denominator of g and -103\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(0 + 2\/(-14)). Let s(q) = 7*q**3 + 50*q**2 - 117*q - 18. Let z(n) = 4*n**3 + 27*n**2 - 65*n - 9. Let x(l) = 5*s(l) - 9*z(l). Determine x(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -200 + -20?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11\/6 + -4\/3. Let q(l) be the first derivative of h*l**2 - l + 2. Let u(r) = 6*r - 4. Give 4*q(i) - u(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 23 - (6 - 19 - -39 - 13)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 + -14. Let u = 226.6 + -227. Sort 1\/3, k, u in decreasing order.\nAnswer: 1\/3, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/3081 and 29\/4108.\nAnswer: 12324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 122 + -122.000906. Round q to 5 decimal places.\nAnswer: -0.00091","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 7*v + 3*v + 159, -5*w = -5*v - 230. Suppose -6*z - 7 + w = 0. Calculate the remainder when 19 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2623 divided by -4.\nAnswer: 2623\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*j + 6*y = -157*j - 18, 0 = -35*j - 4*y - 121 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**2 - 4*r**2 + 99*r**3.\nAnswer: 99*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 0.119, 6\/7 in ascending order.\nAnswer: 0.119, 6\/7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 4*v + 122, 2*n + 1246 - 1300 = 2*v for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 126.6315 kilograms in grams?\nAnswer: 126631.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14.39 - -15.39. What is the closest to j in -13, 1, 1\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 111 = 15*g - 200, o = -g + 12 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1489*l**2 - 5*l + 1484*l**2 + 5*l + 8.\nAnswer: -5*l**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of r**6\/120 + r**5\/12 + r**4\/24 + 89*r**2. Let v be z(0). Is 171 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*k + 12 = 32*k + 3*g, -3*g = -5*k - 22 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1798)\/200 - (99\/(-11) - 0). Let r(w) = w**2 + 4*w + 4. Let k be r(-3). Is y < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**5 + 416*v**4 - 10012*v**3 - 90480*v**2 + 3733200*v = 0.\nAnswer: -17, 0, 30, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**4 + 4*s**3 - 4*s**3)*(-1244 + 1244 + 55*s) - 78*s**4 + 78*s**4 + 8*s**5.\nAnswer: -102*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + 4*((sqrt(76) + 2*sqrt(76) - sqrt(76)) + sqrt(76) - sqrt(76)))\/(-6*-2*sqrt(4)).\nAnswer: 3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -36 in increasing order.\nAnswer: -36, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) -0.1 (c) 4 (d) -5\/3 (e) -0.4 (f) -126\/31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -281803, 4, 3?\nAnswer: -281803","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 20*x**2 + 2*x + 4 - 3 - 25*x**2 - 4. Calculate v(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 256534.\nAnswer: -5\/256534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 23971 to the power of 1\/2, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*((-32)\/20)\/((-3)\/9*71\/71)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 0, -44*v - 39*v + 2 = -86*v - 2*t + 2 - 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*y - 50. Suppose 6*j = y*j - 1340. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1732 divide 35079277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z**2 - 10*z + 16 - 2*z**2 - 3*z**2. Let m be c(-11). Let l(r) = -r + 7. Calculate the remainder when 6 is divided by l(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101365 divided by 101365\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208685 is divided by 79.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 233199 - 233321.069. Let a = -122 - u. Let f = 7.731 + a. What is f rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1573, 1580, 1591, 1606, 1625?\nAnswer: 1648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 2\/5, 13 in ascending order.\nAnswer: -9, 2\/5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 8*j + 2. Let w be f(3). Suppose w*z - 148 = z. Differentiate 15*g**4 - z*g**4 + 11*g**4 + 16 wrt g.\nAnswer: -44*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 633 a factor of 406159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1211541 (base 6) to base 4.\nAnswer: 33212311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 5*r**2 + 27*r - 80. Let c be i(-9). Let z(q) = q - 1. Let y(n) = 6*n - 18. Calculate c*y(w) - 18*z(w).\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17 and -1705486.\nAnswer: -28993262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-54 - 8)*(-2)\/4. Suppose 24 = -2*o + 4*m, -3*o + m - 10 = x. Let j be ((-10)\/(-4))\/((-7)\/o). Solve 0 = y - 0 - j for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 5*y**2 - 2*y - 7. Let z be t(3). Suppose -26 = -3*j - 65. Put z, j, 1 in decreasing order.\nAnswer: z, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, h: 5, n: 7}. What is prob of picking 1 r, 1 h, and 1 n?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 198 and 6336?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11777 - -11775. Which is the nearest to i? (a) 0.3 (b) 32 (c) 0 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62452*b**3 - b**2 + b**2 - 47888*b**3.\nAnswer: -110340*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4253 and 11.\nAnswer: 46783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217 + 217 + 7*c - 52*c.\nAnswer: -45*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/16 - (-123)\/(-8). Let q = 17 + y. Let j be ((-22)\/88)\/((-1)\/16). Solve 0 = 3*s + 5*n + 9, -5 = j*s - q*n - 19 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a meter in millimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gbq when three letters picked without replacement from {b: 3, p: 1, g: 1, x: 1, q: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 848 = 11*d. Let o = d - 102. Suppose 0*a = 3*a + 5*s - 526, 0 = o*a - 2*s - 684. List the prime factors of a.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a factor of 169290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -31*i + 21. Let a(f) = -6*f + 4. Calculate 11*a(z) - 2*y(z).\nAnswer: -4*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 8 = 2*x, -3*x + 4*q + q = -10. Suppose -4*p + 11 = -1, -x*p - 83 = -m. Let s = m - 61. What are the prime factors of s?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5986, 6016, 6036, 6040, 6022, 5976?\n\"Answer: -w**3 + w**2 + 34*w + 5952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 2*k + k)*(-4 + k + 4) + 0 + k**2 + 0 - 230*k + 230*k - 27*k**2 + 5*k**2 - 3*k**2 + 0*k**2 + (k**2 - 4*k**2 - k**2)*(-6 + 0 + 2).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 9 = -835*l + 834*l, 12*o = 3*l + 27 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 12:04 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -112\/3 or -1\/12?\nAnswer: -112\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18920000 rounded to the nearest 1000000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 - 7*v**2 + 3*v**2)*((v - 3*v + v)*(1 + 3 - 6) + 2 - 21 - 7*v + 4*v).\nAnswer: 2*v**3 + 38*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/380 and 25\/998?\nAnswer: 189620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -22. What is the nearest to -1\/4 in -0.5, 3, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 41 + (-99 - -3)\/(-12) and 133?\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-129)\/(-15) + 6\/(-2))*5. Let b be -2 + 1 - (h\/(-7) - 37). List the prime factors of (-3*(-3)\/(-6))\/((-3)\/b).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 95.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/19, 57.3, -0.4, -0.16?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1505739 is divided by 501209.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 31632 divided by -29335?\nAnswer: -31632\/29335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -5, 789, 1, 71 in decreasing order.\nAnswer: 789, 71, 1, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/4 - (-34)\/8. Suppose -7*p - 27 = -c*p. Let r = 15 + p. Calculate the greatest common divisor of 42 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/3 and 8\/13.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxrxrxrrj. Give prob of sequence xj.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3160 - 3075. What is the greatest common factor of y and 2635?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 323 + -322.98736. What is c rounded to three decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - b + 5, 0 = -4*p + p + 2*b - 10. Suppose p = -3*v + 96 + 3. What is the remainder when v is divided by -13 - (3211\/(-91) - -13) - 2\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**2 - 591*t - 1800 = 0. What is t?\nAnswer: -3, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-84)\/9)\/(-4) - 3. What is the biggest value in -1\/2, 0.1, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232201 is divided by 46417?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g\/(g**5\/g))\/g*g)**(-41)\/(g**13*g*g*g**(-3\/7)) assuming g is positive.\nAnswer: g**(472\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 1727*m + 31090. Determine t(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ry when two letters picked without replacement from {y: 1, o: 4, r: 5}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50 - -25. Let k = -2 + o. Find the common denominator of (860\/130)\/((-972)\/(-351)) and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y - 28*y + 1282111 = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -849a99 (base 14) in base 13?\nAnswer: -c0c6ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12389 = -63*a + 64*a. Suppose 0 = 11*q + 4920 - a. What are the prime factors of q?\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 19*l**2 + 25*l - 149. Give j(-17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*o + 50*o = 959 + 315 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r**2 + 2. Let t(o) = -o**2 + 1. Let j(b) = -a(b) + 2*t(b). Let z(l) be the second derivative of 0 + 0*l**2 + 4*l + 1\/6*l**3. Calculate z(j(v)).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -335 less than or equal to -322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -219.6 + 632.82869.\nAnswer: 413.22869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -257000 to the nearest ten thousand.\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1))**(-10)\/(r**(-2\/5))**3)\/(r**(5\/3)\/r*(r\/(r\/r**(-2\/5)))\/r*r*(r\/(r*r\/r**0))**(-1\/6)) assuming r is positive.\nAnswer: r**(323\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s**3 - 3*s**2 + s - 1. Determine k(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j*j*j\/((j*((j\/(j\/(((j*j**(-12)*j)\/j)\/j)))\/j)\/j)\/j)*j)\/j)\/(j\/j**(2\/15)))**(-3\/32)\/(j**5*j\/(j\/j**(-3\/8)))**(-6\/5) assuming j is positive.\nAnswer: j**(77\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 2*v + 22. Let h = 52 + -50. Suppose 71 + 13 = h*x. Calculate the remainder when x is divided by v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6920 and 2972.\nAnswer: 5141560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31.428 + 0.072. Let o = -32 + j. Suppose -4*w - 4*k = 24, 2*k = -3*w - 0*w - 17. Which is the biggest value? (a) -2 (b) w (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 190820 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.67 rounded to two dps?\nAnswer: -14.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**3 + 6*i + 3706. List the prime factors of y(0).\nAnswer: 2, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4714, 9420, 14126?\n\"Answer: 4706*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5499 = 4*x - 55*x - 61*x - 5*x for x.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 9*f + 4 - 5.\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 109444 or 109443?\nAnswer: 109443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7875258, -15750558, -23625870, -31501200, -39376554?\nAnswer: -47251938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/23, -6, -7\/12?\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u + 17. Let d(t) = t**2. Calculate i(d(n)).\nAnswer: -4*n**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 171.1 (b) -157 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 22. Let q(d) be the second derivative of -5*d - 1\/4*d**5 + 0*d**4 + r + 0*d**3 - d**2. What is the derivative of q(u) wrt u?\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.2, -5, -3, -0.4 in decreasing order.\nAnswer: 1.2, -0.4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 p when two letters picked without replacement from xmixmmxmrmxmrpmpp.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 j when three letters picked without replacement from ujubqbnnjbnngg.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(4\/13)*u))\/u)**(-42) assuming u is positive.\nAnswer: u**(714\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7850*t**6 + 25*t**4 - 29*t**2 - 2*t - 483?\nAnswer: 942000*t**3 + 600*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 40971491, 40971507, 40971523, 40971539, 40971555, 40971571?\n\"Answer: 16*n + 40971475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, 1\/2, -0.1, 3\/1826, 1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3470 - 69*x - 6671 + 3*x**2 + 3597.\nAnswer: 3*(x - 12)*(x - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -735 divided by 35.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -283 - -275. Sort 3, 4\/7, 1\/5, q.\nAnswer: q, 1\/5, 4\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 819136847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3489964 and 2312?\nAnswer: 1156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m + 1. Give j(17).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 528 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4682981*d + 1582192?\nAnswer: -4682981","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)*3)**2*6.\nAnswer: 16200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - 1\/(-5)*0. Suppose 5*p + 4*n - q = 21, -5*p + 17 = n. Solve 5*o = p*b + 8, -3*o - 2*b = -5*b for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a hour in minutes?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 2*n**3 - 36 - 2.\nAnswer: -2*n**3 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a week in seconds?\nAnswer: 30240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + 32. Suppose -3*t - k + 213 = 0. Suppose 0 = -o + b + 21, b + 35 + t = 4*o. List the prime factors of o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnjj when four letters picked without replacement from jnzjznzzkj?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**3 + 9*t**2 - 2*t - 8. Let a(v) = -15 - 11*v + 0*v + 17*v**2 + 3*v**3 + 7*v. Let y(z) = 3*a(z) - 5*f(z). Give y(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**3 + 4*f**3 - 2*f**3 + (4*f - 6*f + 0*f)*(-27*f + 16*f**2 + 27*f) + f**3 - 4*f**3 + 2*f**3 + 2*f**3 + 0*f**2 - 6*f**2 + 17*f**2.\nAnswer: -32*f**3 + 11*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 99a?\nAnswer: 996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**5 + 251*r**4\/3 - 1832*r**3\/3 - 1089*r**2 + 49550*r\/3 - 75200\/3 = 0.\nAnswer: -5, 2, 5, 47\/6, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 505, 1069, 2001, 3295, 4945, 6945, 9289, 11971?\n\"Answer: -z**3 + 190*z**2 + z + 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-2*(-2)\/44). Let y be 871\/13 - 13 - (3 - 4). What is the greatest common divisor of y and n?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 345 (base 9) to base 14\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-8) + (-147)\/12. Let n be (r\/9 + 2)*3. Let m be (-40)\/12*3\/(-2). Solve 5*j = n*l + m, -10 + 1 = -3*j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 0.04887, 3\/4, 1\/3 in decreasing order.\nAnswer: 20, 3\/4, 1\/3, 0.04887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-25))\/(144\/(-160))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280*h - 2 = 279*h + 2*x, 0 = 2*h - 3*x - 5 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of b**8\/240 + b**5\/24 + 6*b**3 + 9. Let p(o) be the third derivative of c(o). What is the second derivative of p(t) wrt t?\nAnswer: 84*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 181761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -230 - 0?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 - 534*u - 532.\nAnswer: -2*(u + 1)*(u + 266)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1248 is divided by 258?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -135*y**2 - 11*y - 2. Let f(c) = -203*c**2 - 16*c - 3. Let w(u) = -5*f(u) + 7*x(u). Find the second derivative of w(g) wrt g.\nAnswer: 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/10 and 43\/709?\nAnswer: 7090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17712 + -17708. Solve o = -2*q - 6*i + 5*i, -3*q + 3*i + 3 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/7 - 34*f\/7 - 76\/7.\nAnswer: 2*(f - 19)*(f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(5\/9)\/(z\/(z\/z**(-2\/3)))*z**(-1\/25)\/(z**(-1\/33)\/z*z) assuming z is positive.\nAnswer: z**(3001\/2475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.188125858 to five dps.\nAnswer: 0.18813","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three eighths of a day?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -22*n - 66. Determine h(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -138 - -96. What is the units digit of a\/(3 + -6) + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of i**4 + 10*i**3 - 477*i**2 - i + 155703 wrt i.\nAnswer: 4*i**3 + 30*i**2 - 954*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/5 (b) -5 (c) -2 (d) 88 (e) -1\/10 (f) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1127141830 to the power of 1\/2, to the nearest integer?\nAnswer: 33573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qjqjjojjoyqjjjqj?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(130) - -1*sqrt(130))*-5 - -1*sqrt(130)*-1)*-5)\/(5*-1*sqrt(4000)).\nAnswer: -11*sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1390\/18 + 6\/(-27) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1003410 (base 6) to base 13\nAnswer: 187a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventeen quarters of a micrometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 + 3*d**2 - 4*d + 1 - 8*d**3 + 9*d**3. Let i be m(2). Suppose -3 = 3*s, -3*s + 17 + 46 = 2*z. Solve 13 = i*l + z for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 71*k**2 - 171*k - 168. Give p(4).\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6082859 * 5.6.\nAnswer: 34064010.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1344719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (4 - 11) + 3 - (45 - (-23 - -10))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*g**2*m**2 + 387*g**2*m + g**2 - 4*g*m**2 - 641*g wrt g.\nAnswer: 8*m**2 + 774*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.2 and -7.702955?\nAnswer: -16.946501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -399527 + 869860. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.9 * -230\nAnswer: -897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36674, 36671, 36668, 36665, 36662, 36659?\nAnswer: 36656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**3\/3 + 2*h**2 - 7*h + 4. Let a be k(-6). Suppose b - a = 2*q - 24, -b - 9 = -q. Is 10 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = p - 5*t + 2, 2*t = -4*p - 2. Let d(g) = 96*g + 4. Let f be d(p). Calculate the highest common factor of 50 and f.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -1038*p + 35. Let x(j) = -2*j - 6. Give -t(h) - 6*x(h).\nAnswer: 1050*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2350.72722 rounded to 1 decimal place?\nAnswer: 2350.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 10 + 1 - 23 + 3*d.\nAnswer: 3*d - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 2. Suppose q - n = 6*q - 7, -f = 2*n. Suppose -5*c = -2*c - 9, 0 = -5*m - q*c + 1. Sort m, -2, 5 in decreasing order.\nAnswer: 5, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of 0 + 0*o**2 + 5\/12*o**4 - 5\/3*o**3 - 17*o. Factor p(s).\nAnswer: 5*s*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 945028.\nAnswer: 2835084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-57)\/(-12))\/(9\/36). Find the second derivative of -19 - 9*j + c + 17*j**2 wrt j.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4 + 4*f - 10 - f**2 + 8. Suppose u - 18 = -1. Suppose 6*d - 13 = u. Calculate v(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 202 + -202.0141. Round y to three dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 2:29 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58\/6 - 2 - (-366)\/(-549)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 6\/174589 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75174)\/23919*(-56)\/11?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20771?\nAnswer: 20771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q = 15*q - 2. Suppose 4*b + 2*u = -22, 8 = -2*u - q. Let r(l) = 97*l**2 - l + 1. Is r(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(sqrt(9) - 5*sqrt(90)\/sqrt(10)).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 106*j - 53. Let n be h(2). Let g = -152 + n. What is the highest common divisor of g and 301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tyoeetttee. Give prob of sequence ee.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 x, and 2 z when four letters picked without replacement from bxaddbzxxb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 58) + -2124 + 2152.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1))**(1\/16)*(k**3\/k*k*k)**(2\/17) assuming k is positive.\nAnswer: k**(8\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-13)*z))**26 assuming z is positive.\nAnswer: z**338","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 1170, -3 in descending order.\nAnswer: 1170, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**5 - 25*u**4 - 64*u**3 + 56*u**2 + 272*u + 176 = 0. Calculate u.\nAnswer: -22, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -8*q - 19. Let a be b(-8). Is 44 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5624 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -423 divided by 8\nAnswer: -423\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*d + d - 192 + 2)*(-2 + 3 + 0)*(0 - 1 + 0) as s + p*d and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -463.\nAnswer: -1389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1359 = 5*o - 3*j, -2*o + j + 235 + 310 = 0. Calculate the highest common factor of o and 1725.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 164, 304, 434, 548, 640, 704?\n\"Answer: -r**3 + r**2 + 144*r + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -50*h - 61. Determine i(-5).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/3240 and 59\/207360.\nAnswer: 207360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 1002?\nAnswer: -664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143126.\nAnswer: 2, 71563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, m: 2, k: 7}. Give prob of picking 1 u and 2 k.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 55*d**2 + 336*d - 4. What is h(48)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3*u + 3*u**4 + 29*u**2 - 4*u**4 - 29*u**2 to m*u**3 + h*u**2 + s*u**4 + p + n*u and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 60252230.7 rounded to the nearest ten thousand?\nAnswer: 60250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 19*l + 24. Let i be d(18). Let k = -9 + i. Which is the nearest to 0.1? (a) 3 (b) k (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 966*c + 7718. Give j(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103965.\nAnswer: 3, 5, 29, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-212)\/(-106)*(-1)\/(-2))\/(-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 - 11 = -2*n. Let w = n + 16. Suppose 3*a - 5*q = 48, 2*a = 6*a + w*q - 64. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.07633 centuries to millennia.\nAnswer: 2.107633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4377 - 4376.999992384. Round k to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.4 + 2. Let r = -25 - -26. Let a be 4*-1*3\/16. What is the third smallest value in a, r, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 10. Let g be k(-8). Suppose g*y + 12 = 5*y. Solve -y*x - 12 = -0*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yqqqttyyqhtyy. Give prob of sequence ttqq.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -530 take away 2.05?\nAnswer: -532.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14012 + -14061. What is the second smallest value in 3\/137, b, 0.3?\nAnswer: 3\/137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2766.6 + 2773. Let d = 105.6 - 117. Let z = p + d. What is the smallest value in -2\/25, z, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6142797*y**4 - 1186899*y**2 - y?\nAnswer: -147427128*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 44*u**2 + 28*u - 28. Let n(f) be the second derivative of -2*f**4\/3 - 5*f**3\/6 + 5*f**2\/2 - 3*f. Determine -28*n(i) - 5*s(i).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.09 + 0.01. Let x = 11.2 + -2.2. Let r = -50964 + 50964. What is the closest to r in b, 0.3, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -c - 3*d, -2*d - 51 = -65. Suppose 3*h - y - 3*y - 12 = 0, 5*y + 15 = -h. Solve h*k = i + 5*k + 24, 2*i = -k - c for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(264)\/(sqrt(11) - sqrt(11)*5*-5))\/((-4*sqrt(24) - sqrt(24))\/sqrt(2) + (sqrt(72) - (-1*sqrt(72) + sqrt(72)))\/sqrt(6)).\nAnswer: -sqrt(2)\/104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0.5, 0.01, -2\/65?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, f: 3, m: 2}. What is prob of picking 1 m and 3 f?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*l**3 + 8*l**3 - 13*l**3 + (2*l**2 - 4*l**2 + 0*l**2)*(-2*l + 5*l - 4*l) as j + s*l**2 + z*l + p*l**3 and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 3*k - 4*k**2)*(8*k + k - 2*k).\nAnswer: -28*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*b + 21*b + 11*b + 14*b - 15*b to x*b + j and give x.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 3\/5 (b) 19 (c) -95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddxuueduuuz. What is prob of picking 1 u and 1 z?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -17*u + 24. Let a(q) be the first derivative of -2*q**3\/3 - 446. Calculate r(a(b)).\nAnswer: 34*b**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -2*m**6\/15 + m + 8. Let g(j) be the first derivative of p(j). Factor g(l).\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2265505.\nAnswer: 5, 11, 17, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99972 is divided by 386.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -106*u + 2653. Let s be h(25). Solve c = -s*c - 24 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33891092 rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-450)\/4*(-2)\/6*(11100\/125)\/(-37).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -40*h**3 + 6*h**2 - 9*h - 7. Let p = -259 + 253. Is i(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 7*o**2 + 7*o + 3. Let c be k(6). Differentiate -4 + 21*d - c*d - 21*d with respect to d.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/3 - (-290)\/(-30). Let y = u - -11. Suppose -y*g + 44 = 2*q, -2*g - 26 = 5*q - 121. What is the remainder when 49 is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90, -231, -372, -513?\nAnswer: -654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 122*x**2 + 188*x + 2100. List the prime factors of t(-126).\nAnswer: 2, 3, 7, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -313? (a) 0 (b) 0.1 (c) 2\/9 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -277 - -277. Put 5, 2, d, -3\/4 in increasing order.\nAnswer: -3\/4, d, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -22*k**2. Let y(d) = -263*d - 18925 - 7*d - 152*d + 18923. Determine y(i(n)).\nAnswer: 9284*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3 (b) -5 (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 6*n**2 + 7*n - 8. Let j be t(7). Let y = j - -14. Calculate the remainder when y is divided by 14\/6*(66\/(-77))\/(-2)*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(-4\/3)*a*a**9*a assuming a is positive.\nAnswer: a**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.3 + 1.9. Let q = z - -3.7. Let r = q + -3.3. Which is the second smallest value? (a) 3 (b) r (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -r**3 - 11*r - 558. Let l(s) = -2*s**2 + 23. What is k(l(b))?\nAnswer: -12*b**4 + 276*b**2 - 1598","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5312510 rounded to the nearest ten thousand?\nAnswer: -5310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9536233549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v**2 - 94*v + 44. Let h be y(-24). Let p(a) = a**3 + a - 1. Let c(r) = -2*r**3 + r**2 - 4*r - 2. What is h*p(b) - c(b)?\nAnswer: -2*b**3 - b**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z - 2. Let g = 11 - 20. Let j = g + 9. Suppose 5*q = 3*s - 5 + 18, j = 3*q + 4*s - 31. Give p(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-42)\/15)\/((-6)\/15). Let d(p) = p**3 - 3*p**2 + 11*p - 9. Does 33 divide d(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 3. Suppose 5*b = 2*b + l. Suppose 1 = -4*a + 17, 4*p - b*a = -20. Sort 3, p, -4.\nAnswer: -4, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 3:58 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -143608 and 82.\nAnswer: -11775856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 3. Let l(y) = y**2 + 0*y**3 - 3 + 5 - y + k*y**3. What is l(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + f - 48 = 6*f, -q - 5*f = -37. Suppose 229 = q*b - 757. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15365755109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3937\/13 + 303. Let r = -75511 - -75510. Which is the second biggest value? (a) r (b) 77 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 218080 and 2059.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71306 - 142595 + 75*k + 71289.\nAnswer: 75*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y**2 + 0*y**2 - 234*y**3 + 4 + 4*y**2 + 223*y**3 to s*y + n*y**3 + g*y**2 + a and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppamda. What is prob of sequence dama?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**3 + 0*o**3 - 5*o - 3*o - 3. Let q = -33 - -41. Suppose -5*v + 3*s - 34 = -0, 2*v + q = 4*s. Let j(m) = m**3 + 3*m + 1. What is v*j(g) - 3*b(g)?\nAnswer: -2*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-62 + 18 - 1)*(4*r**4 - 3*r**4 + 2*r**4).\nAnswer: -135*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*t + 2*t**2 - 75*t - 40*t.\nAnswer: 2*t**2 - 176*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2001 (base 3) to base 2.\nAnswer: 110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.017165 and 3.77.\nAnswer: 3.752835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of 0 + 0*n + 11\/24*n**4 - 1\/6*n**3 + 7*n**2. Give m(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 9*h**2\/2 + 4. Let m(d) be the third derivative of d**4\/24 - 11*d**2. Determine m(z(a)).\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -601 - -6?\nAnswer: -595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*g**3*s**3 + 7*g**3*s - 2*g**3 + 7*g**2*s**3 + 4*g**2*s**2 - 12*g*s**3 + 43*s**2 wrt s?\nAnswer: -42*g**3 + 42*g**2 - 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.124, 1\/5, 1191 in descending order.\nAnswer: 1191, 1\/5, -0.124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -6 - -39 - 52?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4898*i - 195915. Calculate w(40).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -122 - -130. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 33984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.69 minus 0.83?\nAnswer: 5.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 6:24 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5*o - 17 = 18, 2*o + 14 = 4*r. Suppose -16 - 4 = i - 5*d, -3*i + 4*d - r = 0. Solve i*f - f = 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 792*l + 47. Is o(19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 340*v - 338*v - 9, 2*v - 4*l = 24 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -827 = -4*f - o, -4*f + f = o - 619. Let x = f + -142. Let y = x + -14. Calculate the remainder when y is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/(-132)*(-208)\/(-14) + 6\/14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 7*j**2 + 4*j + 6. Let v = -5 - -11. Let k be n(v). Let u be (4\/k)\/((-21)\/(-9)). Which is smaller: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137866277.\nAnswer: 17, 2423, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 37*t**2 + 3*t - 3. Let k(d) = -19*d**2 - 2*d + 2. Let b(n) = 3*j(n) + 5*k(n). Is b(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -5*v**4 + 8010*v**3 + 253275*v**2 - 261280*v = 0.\nAnswer: -32, 0, 1, 1633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 7*h**2 - 21*h - 73. What is z(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 + 2*t + 3. Suppose -h - 3*l + 15 = 0, -5 - 20 = h - 5*l. Let k(p) = p**2 + p - 4. Let i be k(h). Let d = i + 2. What is c(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*m + m + m)*(m + 0*m + 0*m)*(-103 + 5*m**2 + 103) to j*m + x*m**3 + q + o*m**4 + n*m**2 and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 22*n + 108. Let r(s) = s**3 + 7*s**2 + 7*s + 6. Give r(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-53)\/((-16695)\/540)*(-42)\/4.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3249*q - 19932 = 3481*q + 1538 + 1034 for q.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5*(-3 + 2 + sqrt(405)*1))**2.\nAnswer: -720*sqrt(5) + 10189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78 + -85 - (2 + -6097)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 2. Let p = 15 + -13. Let l be o(p). What is the tens digit of (-1218)\/(-26) + l\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-6)*(-8)\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 7:15 AM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -1. Let k(y) = -10*y**2 + 15. Determine k(z) + 15*q(z).\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**6\/420 - a**5\/35 + 3*a**4\/28 - 4*a**3\/21 + 24*a**2. Determine i, given that l(i) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -2046*c**2 - 584*c - 1754. Find the first derivative of d(q) wrt q.\nAnswer: -4092","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1151304?\nAnswer: 2, 3, 7, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -801*s - 266*s - 681*s = 221*s - 220528 for s.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3819\/3739?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16537?\nAnswer: 23, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1775272 (base 9) to base 4.\nAnswer: -3302310113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 181685\/410022 + 19\/2531. Find the common denominator of j and -23\/45.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -15. Suppose -j + 17 = 4*j + f, -u*f = -2*j. Suppose 3*h - 3*i - 4 = 2*h, -h + 4 = j*i. Solve r = h*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 4:34 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-13)*x**(-1)*(x**(-1\/4))**(1\/8) assuming x is positive.\nAnswer: x**(-449\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 5*g**2 - 6*g. Let m be l(6). Suppose x - 8 = -m*x. Calculate the highest common divisor of x and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69639 is divided by 11137?\nAnswer: 2817","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 17\/3*m**3 + 1\/10*m**5 - 5*m - 5 + 4\/3*m**4 + 10*m**2. Factor x(d).\nAnswer: 2*(d + 1)*(d + 2)*(d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33710, 67418, 101126, 134834, 168542?\nAnswer: 202250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b - 18*b + 17 = w, 0 = -5*w - 3*b + 34 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11660\/3 or -3887?\nAnswer: -3887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 141?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 8*j**2 - 2*j + 10. Let o = -20 + 28. Let a be c(o). Let d be 4 + 1 + a + 5. Is d > 8\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37094280 and 4700.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1357 - 709. Let k = n - 647.99661. What is k rounded to four decimal places?\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 3*x - 13 = 0, b + b - 5*x = 30 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-2)\/(-12)*52\/39?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1871\/5 + 373. Let n = 3\/10 - r. What is the nearest to 0 in 1, 4, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(11) + -2 + -5)**2*-3 + (-2 + (sqrt(11) + 1)**2 + sqrt(11) - 4*sqrt(176)).\nAnswer: -139*sqrt(11) + 550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t - 12*t**2 + 4*t)*(-6*t - 4*t + 4*t)*(4 + 1 - 3) - 5 - 17*t**3 + 18*t**3 + 63.\nAnswer: 145*t**3 + 58","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of s**4\/4 + s**3 + 1. Give d(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -158*w + 1684. Calculate the remainder when p(-4) is divided by 145.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15023 + -40?\nAnswer: -15103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 521863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 19*j + 946. Determine t(-51).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(-7 + 1 + 1). Suppose -5*q + z*i = -0*i - 100, 65 = 5*q + 2*i. Suppose 0 = 3*d - q - 21. Calculate the highest common factor of d and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 5*a - 6. Suppose -t - 18 = -7*t. Let g be d(t). Round g to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 + 33. Suppose -8*t + 1280 = -x*t. Let l = -99 + t. What are the prime factors of l?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 9. Let w be 161\/35 + n\/10. Solve -2*h - w = -h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**2 - u**2 - 3274352937 + 3274352937.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 1241*q**2 + 11*q - 451. Is v(14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -302121 (base 7) to base 12.\nAnswer: -25743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -114*n. Let i(r) = 75*r. What is p(i(o))?\nAnswer: -8550*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*(-70 + 76)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/2 of a century?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 336 and -799.7349076.\nAnswer: -463.7349076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -j**5\/12 + 5*j**4\/24 - 2*j**2 - 4*j. Let c(o) be the first derivative of a(o). What is the second derivative of c(m) wrt m?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11\/(-55) + ((-124)\/5)\/(-4). Suppose -i - 14 = -4*w. Suppose -w*s + v + 3*v - 68 = 0, 5*s = -3*v - 54. Are s and -15 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7317 rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 95*v - 940. Calculate q(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -6) + -2 - 4. Is s less than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 7:18 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 12\/18 + (-1495)\/(-39).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 10:43 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 124*v - 285*v - 563*v - 60*v. Let m(w) = 2*w**2. Determine k(m(h)).\nAnswer: -1568*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4*p + 16 = r, p = 5*r - 14. Suppose 20*w - 2 - 38 = 0. Suppose -2*b = r*g - g - 3960, b = -w*g + 1979. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(5\/4)*o*o\/o**(-4\/3)*(o\/(o\/(o\/(o\/(o\/o**3)))))\/(o\/o**(7\/5)) assuming o is positive.\nAnswer: o**(179\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 620 is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + 36. Calculate the greatest common factor of 12 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 735464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 16 = 4*z. Let y(m) = -2*m - 7. Suppose -4*q - 5*s - 30 = -3*s, -5*s - 35 = 2*q. Let b be y(q). Solve z - 1 = -5*h + b*l, -5*l = h - 22 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qyysssyysyy. Give prob of picking 1 s and 2 y.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6449326920 to the nearest integer?\nAnswer: 1861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12420533 + -3?\nAnswer: -12420540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 11:54 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 577086601.\nAnswer: 7, 13, 19, 333769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, 235821 in ascending order.\nAnswer: -6, -1, 235821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s**2 + 4*s - 3. Let m be o(2). Let a = -3 - m. Solve -20 = -3*l + a*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 12:27 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -22. Let h be -2 - (-1 - 4\/4). Suppose -d + 4 - 2 = h. Is d < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9581759311 + -5.\nAnswer: 9581759306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0*c + 164 = 0. Suppose 2*l = l + c. Let j = l + -55. Is 15 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 833*o = 1516*o - 808*o. Let v = -3\/74 + 169\/518. Let 0 + 2\/7*f**3 + 4\/7*f**4 + o*f**2 + 0*f + v*f**5 = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70 + 53. Let p = -37.06 - -0.06. Let m = 34 + p. Which is the fourth biggest value? (a) v (b) -2\/3 (c) -0.2 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**6\/60 - 3*k**5\/20 - k**4\/2 - 2*k**3\/3 + 3*k**2. Factor q(h).\nAnswer: -(h + 2)**2*(2*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 9*j - 57. Calculate b(-21).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142952868 divided by 534.\nAnswer: 267702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/240 + (-54)\/(-20) + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 4*k**3 + 328*k**2 + 4220*k + 13400 = 0?\nAnswer: -67, -10, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 517790 to the nearest integer?\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.67 + 19.67. Put 5, -4\/3, q in descending order.\nAnswer: q, 5, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 1:27 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7239403163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 7:44 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38 * -1039.\nAnswer: -39482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*i - 31*i + 256*i + 767.\nAnswer: 306*i + 767","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 6*z**2 + 11*z - 28. Let x be y(5). Let n(m) be the first derivative of 1 - 1\/2*m**x + 0*m. Let p(w) = -w. What is n(p(j))?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 539121 and 160446?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s**2 - 1. Let g be j(-1). Suppose -3*p + g*p = z + 3646, -2*z = -5*p + 7285. Let l = -45 - z. What is l rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 3*v + 348, z = 3*v + 52 + 84. Let q = -73 + z. Does 17 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -10354.\nAnswer: -2\/5177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 176.83569 microseconds to days.\nAnswer: 0.000000002046709375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*v**2 + 132*v**2 - 300*v**2 - 3*v + 3*v.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000087790387 rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 153097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 384 and 6533216?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 398*t**3 - t**2 - 674*t wrt t.\nAnswer: 2388*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23252.\nAnswer: 2, 5813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 7 - 33 = 0. Calculate the greatest common divisor of u and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 246 - -184. Let h = x + 3907. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -37691 and 103960?\nAnswer: 141651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 7:32 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 27403.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 135 by 2.\nAnswer: 135\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.403 - -31.\nAnswer: 30.597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -1.94. Let c = -4.01183 + 0.01183. Let a = -0.04 - -2.04. What is the nearest to a in c, g, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -5*r**8\/168 + 7*r**5\/30 - r**2\/2 + 17*r. Let i(d) be the first derivative of p(d). Find the third derivative of i(q) wrt q.\nAnswer: -600*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 2) + (-15)\/(-9). Let t = 0.9 + 0.1. Which is the closest to 0.1? (a) 6\/5 (b) t (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - a + 4 = 23, -25 = 4*o + 3*a. Let g = 7 - o. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -14768955, -29537948, -44306941, -59075934?\n\"Answer: -14768993*d + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5194747 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14099.\nAnswer: 23, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.563 - 0.563. Which is the closest to 0? (a) 0.4 (b) 0.5 (c) -17 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 3*(-2 + 3). Suppose 0*f + f - w = 0. What is the second derivative of 5*m**2 + 0*m**2 + 2*m - 6*m**f - m wrt m?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -5*y**3\/6 - 176*y. Let i(z) = 11*z**2 + z. Determine a(i(q)).\nAnswer: -55*q**2 - 5*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 3*n - 324, 0 = -5*n - 9 - 16. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13579991 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**3 - 131*h**2 + 48*h + 1108. Calculate b(65).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dyyyddc. What is prob of picking 1 c, 1 d, and 2 y?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 99*n**3 + 85*n**2 - 8. Let w(g) = 29*g**3 + 28*g**2 - 3. Calculate 2*b(x) - 7*w(x).\nAnswer: -5*x**3 - 26*x**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 263 divide 80968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54 + -18. Let t be 3\/(-21) - (3 - (-100)\/(-14)). Suppose -t*r + 4*p + 80 = 0, 11 = -5*p + 1. What is the smallest common multiple of r and w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzu when three letters picked without replacement from uuzzuzu?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*r**2 + 11*r**2 + 38*r**6 - 21*r**6 wrt r.\nAnswer: 2040*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of o**7\/28 - o**4\/3 + 4*o**3\/3 - 11*o. Let j(y) be the second derivative of x(y). Differentiate j(t) wrt t.\nAnswer: 90*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w + 15*w = 5*t + 11, t = -5*w + 17 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 4998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 26*j - 12*j - 10*j + 27*j.\nAnswer: -21*j - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3509 and 242.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 - 30. Let n be 6\/g*(-2)\/4. Let i = -4 - -4.1. Put n, i, 4 in decreasing order.\nAnswer: 4, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2120297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-64)*-2*(71424\/(-36))\/31.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110 = -5*v + 5*f + 65, -35 = 4*v - 3*f for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 1493 = y, -u - y + 89 + 408 = 0. Is 29 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/4)\/(1\/(-42)). Let w be 4\/((-60)\/r)*-5. Let i = w + -7. Does 7 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 26328719?\nAnswer: 552903099","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1 + i**2)*(-4 + 2 + 0)*(i - 5*i + 3*i).\nAnswer: 2*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from owwwgoiwiwww. What is prob of sequence wgi?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 6*d**2 + d + 8. Let z be x(-6). Let f(s) = -s - 4 + 2*s + 3*s**z - 1 - 2*s**2. What are the prime factors of f(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + (-7)\/(2 + -3). Suppose 65 = -0*u + b*u. Let f(p) = p**2 - p + 4. What is the remainder when f(-4) is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59273101 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-3) - 28\/(-6). Let h be -2 + (57 - -3) + -3. What is the greatest common divisor of d and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -4*i + 140, 3*k + 175 = -4*i + 9*i. List the prime factors of i.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = -20 - 20. Suppose z*u - 65 = -5. Suppose -13 = -3*p - 4*y, 3*y - u = -5*p + p. Solve 4*l + 2*r + 22 = 0, 20 = -8*l + p*l + 5*r for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 45 + -37 - (5 + 0). Suppose 2*c = -f - 32, f + 117 = -3*f + y*c. Which is bigger: f or -31?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j\/j**5)))\/j**(-6))\/(((j**(1\/2)\/j)\/j)\/j**(-2\/3)) assuming j is positive.\nAnswer: j**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-96)\/(-18))\/((-2)\/(-6)). Suppose -3*k + w = -2*k. Let v = 32 - k. Solve -5*b - v = -4*u, -5*u + 8 = 5*b - 3*u for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -104*h**2. Let t(l) = 59*l. Give t(i(d)).\nAnswer: -6136*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -6. Let n be (0\/1 + 0)\/p. Suppose n = -7*f + 11*f - 8. Solve f*y = -y - 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i. Let o be p(1). Let d(g) = g - 2. Let r be d(4). Is (o\/6)\/(r\/(-15)) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 8:41 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b (base 14) in base 7?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14.88 - 13.88. Suppose 0 = -p - 4*p - 15. What is the biggest value in h, 0.5, p, 0.04?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/13 or -20\/17?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 343 + -117?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*t - 32 = -30*t. Let y be 34\/4 - (-11)\/(-22). Calculate the remainder when 1\/2 - (-220)\/y is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 827038?\nAnswer: 2, 61, 6779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 12, s: 7}. What is prob of picking 2 s?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10503 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4*l = -24, -5*v + 5*l - 9 = 1. Let u be 10\/3 + 10\/15. Suppose v*k - u*i = 146, -k + 4*i + 94 = 27. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hahahafafgfhhafa. Give prob of picking 2 h.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427 is divided by 72?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/1524 and 31\/36?\nAnswer: 4572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 72246269 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 c when four letters picked without replacement from {m: 13, c: 6}.\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -59*u + 5. Calculate w(2).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1883*d**2 - 3955*d**5 + 4969*d**2 + 548*d**5 + 2610*d**2 wrt d.\nAnswer: -204420*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2560472 is divided by 372?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1452*v + 2*q - 4 = 1453*v, 2*v - 3*q + 11 = 0 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 65\/4 - 3\/12. Let b = k + -78\/5. Let x = -0.4 + 0.2. What is the second smallest value in -2\/11, b, x?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 456*i**2 - 685*i**2 - 844*i**2.\nAnswer: -1073*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1144379*n**2 - 60484*n**3 - 2166276*n**2 - 15365*n**4 + 245*n**5 + 9656461*n + 407619*n**3 + 2112139*n - 13718000 = 0.\nAnswer: 20\/7, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1991880.\nAnswer: 2, 3, 5, 11, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34714583 is divided by 157?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {e: 1, h: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + b - 31 = -4, 0 = q + 3*b - 11 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -144*c*n**5 - 35*c*n + n wrt n.\nAnswer: -2880*c*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -11, -1, -5 in increasing order.\nAnswer: -11, -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7312 or -7311?\nAnswer: -7311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q**3 + 12*q**3 - 5*q**3.\nAnswer: 15*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, u: 2, j: 2}. Give prob of picking 1 b, 1 u, and 1 j.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 203739080 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 191 - -433b4?\nAnswer: 43555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 1809 = -3*l, -4*u - l = -1208 - 1198. Let a = u + -216. What are the prime factors of a?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**2 - 8*o**2 - 2*o**2 + 4*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - 1*sqrt(204)*-1)\/(sqrt(300)*2) + (5*sqrt(68)\/sqrt(4) - ((sqrt(85)\/sqrt(5))**2 + -1)).\nAnswer: -16 + 26*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l + 6. Let g(a) = -a - 5. Let p(x) = -5*g(x) - 4*s(x). Let y be p(-1). Suppose -n = -4*n + 12. Solve -n*m + m = y for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7240101403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2.7, -1, -3\/10, -233, 1\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5*1*27\/(-45). What is the closest to 2\/3 in 1\/3, 2\/5, m?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 + 36. What is the fourth biggest value in -1, u, 0.2, 2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 393 (base 13) to base 10.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 6:22 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 - 1215*s - 1216.\nAnswer: (s - 1216)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5380 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4528562*q**5 - 2151*q + 488?\nAnswer: 90571240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/15 + 174\/5. Let h = 59 - o. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 + 8010360*s**2 + 176226105*s + 969240250.\nAnswer: 5*(s + 11)**2*(s + 1602050)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 5:40 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + (-948 - -952).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 152 = -3*h - 486, 0 = 5*h + 4*b + 532. Let g be (44\/(-2) + 0)*h\/24. What is the highest common factor of g and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxxsjxssjxxssjx. What is prob of sequence js?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 45933221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -46769 divided by 258\nAnswer: -46769\/258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329399 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 79*u**2 + 2746*u - 5578. Determine o(2).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-33 - (-26 + -1)) + -19\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -244*p**4 - 10*p**3 + 60*p**2 + 20*p - 55641?\nAnswer: -2928*p**2 - 60*p + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 + 18*w - 32. What is the remainder when k(6) is divided by 76?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 281.4 * -7.\nAnswer: -1969.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111110001101 (base 2) to base 5.\nAnswer: 111411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 8:57 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 5*n**3 - 3*n**2 - n - 3. Let r(j) = -16*j**3 + 10*j**2 + 4*j + 10. Calculate -10*q(f) - 3*r(f).\nAnswer: -2*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -1. Suppose d*g - m = -9, m + 12 = 5*m. Let l be (-336)\/98 - 1*g. Sort -0.1, -0.2, l in decreasing order.\nAnswer: -0.1, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -161, -333, -505?\nAnswer: -677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 840 = 13*v. Let r = v - 842\/5. Which is the smallest value? (a) 1\/6 (b) r (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 504733 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -223 (base 7) in base 8?\nAnswer: -163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -7*r**3 + r. Suppose -5*y + 4 + 16 = 0. Suppose 0*k = 4*k - y. Give o(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 34565*v**3 + 45*v**2 + 45*v + 45. Let y(s) = -1571*s**3 - 2*s**2 - 2*s - 2. Determine 2*d(o) + 45*y(o).\nAnswer: -1565*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -104*f**2. Let h(d) = -d**3 - 17*d**2 - 50*d + 5. Let b be h(-6). Let j(m) = 7*m**2. Give b*j(s) - 6*z(s).\nAnswer: -13*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 1\/2, -0.1, 4, 6638?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8528.498ms to microseconds.\nAnswer: 8528498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/24*(-6)\/2)\/((-137)\/881184*-134)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 8:54 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/225*(-9)\/6. What is the second smallest value in 0.3, n, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**2 + 117941896*z - 869393177004676 = 0. What is z?\nAnswer: 14742737","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c + 1. Let b(r) = 28*r - 560. Let t(f) = -b(f) + 3*x(f). Determine t(30).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*f**3 + 162940910 - 26*f**3 - 162940910 + 64*f**3.\nAnswer: 24*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.273+2253059248\nAnswer: 2253059248.273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*n + 2*n. Let a(c) = 2*c**2 - 2. Let v be a(n). Let o be (-4)\/(-10) - (-8)\/v. What is the second smallest value in -3, o, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13857*n - 6704*n + 43 - 20 - 23 in the form d*n + h and give d.\nAnswer: -20561","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or -222417?\nAnswer: -222417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6455\/9 - -717. What is the fourth biggest value in 1, 0.09, j, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*(-8)\/160)\/(10\/8).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c**2 + 59*c - 1009. Give k(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + -1.1. Let d = -1.1 - -1.2. Let p = 0.6 - d. Sort m, p, -2 in decreasing order.\nAnswer: p, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -g - 3*g - 16, -4 = -u. Let v = -0.12 + 0.22. Which is the closest to v? (a) g (b) 3 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 47 + 8 + a**3 - 2*a - 56 - 6*a**2 + 7*a**4 in the form i*a + f + d*a**3 + w*a**4 + t*a**2 and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 35451753567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1035\/(-25) - 4\/(-10). Let i = x - -58. Suppose -22 - i = -3*p. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -5*l + 3. Let q be 18\/4*2*58\/(-174). Let t(x) = -7*x + 4. Let j(o) = q*t(o) + 4*s(o). Let f(r) = 10*r**2 + 30*r. Calculate -f(u) + 30*j(u).\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 985\/(-2)*(-114)\/95. Let y = -583 + d. Let s(w) = w**2 - 9*w - 11. What is s(y)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32085 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z - 2 = 15*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1508012349 to the power of 1\/2, to the nearest integer?\nAnswer: 38833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 1, 4, 291, -2, -104 in decreasing order.\nAnswer: 291, 4, 2, 1, -2, -4, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, a: 1, i: 4, k: 1}. Give prob of sequence ks.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1320 is divided by 328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-5))\/(41 + -44)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s - 728 = -4172. Suppose -s*v + 243*v + 46203 = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 s when two letters picked without replacement from ysy.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 4 = -2*l. Suppose 5*s + 4*d + 13 = 0, d + 4*d = 15. Suppose -4*t + 5*v - 13 = 0, -2*t - 2*t - v = 7. Sort l, s, t in ascending order.\nAnswer: s, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-2)\/(-1)*14\/(-1372)*7\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -m**7\/42 - m**4\/4 + 11*m. What is the third derivative of u(h) wrt h?\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*t = -10, 7 - 3 = -o + 3*t. Let a(j) = -6*j**3 - 2*j**2 - j. Let u be a(-1). Solve 2*d = -g - u, d = -o*d - 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 217, -0.5, -1112, -7\/4?\nAnswer: -1112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) 0.6222 (c) 2\/7 (d) -51 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13530653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -506.\nAnswer: 3\/506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/2, -4, 0.5, -0.4 in increasing order.\nAnswer: -9\/2, -4, -0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 13319\/39626?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u - 5*o = 32, 14 = 3*u + o - 6*o for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73523794 is divided by 69.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.032 (b) 4994 (c) -0.4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9203.617km in micrometers?\nAnswer: 9203617000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(9)\/sqrt(12) - sqrt(3)) + -4 + -3 + 1*sqrt(27)*4 + sqrt(21)\/(sqrt(847) + 2*sqrt(847) + sqrt(847)).\nAnswer: -2 + 507*sqrt(3)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - k + 18, 3*h = k - 5667 + 5653 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 76281215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o**2 + 3*o + 1. Let r(v) = v**2 + v - 1. Let a(y) = -l(y) + 2*r(y). Let p(s) = -s**2 + 1. What is a(h) + 3*p(h)?\nAnswer: 2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 36 + (-2)\/(0 - 1). Let r(z) = z + 57 - 39 - b + 3*z. Let f be r(6). Solve -f = -2*g + g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8024335 to the power of 1\/3, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zyyzyyzzzyzyyyyyyy. Give prob of picking 3 z.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5*sqrt(325)*1)**2*-1 - (1*(-2 + 1 + sqrt(325)) + 0)**2.\nAnswer: -8446 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 4 + (-10 - -5) + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1174 + 46958 = 8*v. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m**2 + 88*m + 1081. Give r(39).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8b + -1b?\nAnswer: -a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 21587.\nAnswer: 10\/21587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -3*p**4\/2 + 5643*p**3\/2 - 539937*p**2\/2 + 1062957*p\/2 - 264330 = 0.\nAnswer: 1, 99, 1780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*l - l + l)*(4*l**2 + 0*l**2 - 3*l**2) in the form z + s*l**2 + m*l**3 + n*l and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 4*v**2 - 4*v + 5. Let u be 3 - 1\/((-3)\/6). Suppose 0 = -p + 2*p + u. Let j be k(p). Solve j = -4*l - 0*l + 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 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: Calculate the highest common divisor of 547029 and 71991.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 205537433 to the nearest integer?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.11 to zero dps.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(384\/(-206)) + (-357)\/952.\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (d - 2*d + 3*d)*(117 - 366 - 480 + (-2 + 2 + 1)*(-1 + 2 + 1))*(10 - 10 - 12*d**2) as m*d**2 + r + y*d + t*d**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5*y**2 + 23*y - 6. Let z(n) = 2*n**2 + 11*n - 3. Let h(s) = 6*l(s) - 13*z(s). List the prime factors of h(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/15 + 60788*y\/15 + 4140794\/5.\nAnswer: -2*(y - 30597)*(y + 203)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285093?\nAnswer: 3, 10559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 10:08 AM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5052 + 40481\/8. What is the common denominator of 55\/8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -728*r + 701 - 1527*r - 245 - 300 wrt r.\nAnswer: -2255","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -34, -7 in decreasing order.\nAnswer: 4, -7, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5667687851 take away -55?\nAnswer: 5667687906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-25)\/(-2)*(-24)\/(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.03, -0.07, -3\/7, -1\/43, -5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2036 - -74?\nAnswer: 2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - b = 28, 2324*m - 2326*m = 4*b + 50 - 16 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 257, 2 in descending order.\nAnswer: 257, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c**2\/c)\/c)\/c)**36\/(c**(-7)*c**8\/c))**(-6\/11))**(-10\/7) assuming c is positive.\nAnswer: c**(-2160\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96 + 62 - 327 - 5*d + 35 + 3*d.\nAnswer: -2*d - 134","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/189*(-14)\/(-4)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62130598 to the nearest integer?\nAnswer: 7882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -164. Is q a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -3*g + 3*d + 6, 3*d + 6 = -5*g. Suppose 3*k + 3*a - 10 = -2*k, 5*a = g. What is the tens digit of -2 - -28 - (-5 + k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4)*2*(-417)\/(-139).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and (45*19\/(-95))\/((-3)\/(12*138)).\nAnswer: 24840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 71265452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jmajujjjjjjjxjxkju. Give prob of picking 1 x, 1 u, 1 m, and 1 j.\nAnswer: 11\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 10*b**2 - 2*b**2. Let h = 16 + -10. Let k = h - 7. Let u(t) = t**2. Calculate k*s(i) + 6*u(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -49, 3, 0.47?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g. Let q(i) = i. Let h(t) = -2*o(t) + q(t). Let c(s) be the first derivative of -4*s**3 + 56. Calculate c(h(r)).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 284*l**3 - 11*l - 11. Let q(d) = -143*d**3 + 6*d + 6. Determine -6*c(u) - 11*q(u).\nAnswer: -131*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen eighths of a century?\nAnswer: 1950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r - 2*r**2 - 11*r**2 + r.\nAnswer: -13*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188327 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 448 divided by -64\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1879176?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 25 + 19 = 0. Suppose 0 = -2*h + 4*s - 776, -5*h + 0*s - 1896 = s. Calculate the least common multiple of z and (-4)\/(-14) - h\/140.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 1\/244, 2, 62\/89?\nAnswer: 62\/89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84997 divided by 2.\nAnswer: -84997\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, -2, 0.4, 2, 1389?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 20 = 3*r. Let l be (-795)\/117 - 87\/(-261). Which is smaller: l or r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -5*d + 20. Let y be 833\/(-91) - d\/(-91). Let i(b) = -b**3 - 10*b**2 - 11*b - 16. Calculate i(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqnnqnnnqqqn. Give prob of picking 3 q.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52249*r = 52255*r - 324. Calculate the smallest common multiple of r and 1812.\nAnswer: 16308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/1 - 11\/(-1). Let s(l) = -l**2 + 12*l - 6. List the prime factors of s(o).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.39 - -1.39. Which is the closest to -0.2? (a) 3 (b) -0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**3 - 3*t**3 + t**3 - t**3 - 3*t**3 + 3*t**3 + (5 - 5 - 2)*(0*t**3 + 3*t**3 - 4*t**3) + 5*t**3 - 45 + 45.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s**3 + 5*s**2 + 9*s + 25. Let d be r(25). Round d to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -32.2 and -0.004048.\nAnswer: 0.1303456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0510391492 rounded to 3 decimal places?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**5 - m**2 - 1. Let u(q) = 12*q**5 + 6*q**2 - 5*q + 6. Let p(l) = -6*f(l) - u(l). Find the second derivative of p(k) wrt k.\nAnswer: -120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 2:50 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -31 + -16354776?\nAnswer: -16354807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 171 and 1368?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -201372*c. Let p(g) = 18*g**2. Calculate p(u(f)).\nAnswer: 729912282912*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 + 76. Let a = 64 - w. Is 17 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 53 = -83 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 46750000 rounded to the nearest 1000000?\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c - c + 4*c)*((-2 + 6 - 1)*(3 + 5 + 4) - 2 + 0 + 5)*(-15*c**2 + 0*c**2 + c**2) as t*c + n + l*c**2 + j*c**3 and give j.\nAnswer: 546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12032033 (base 4) to base 8\nAnswer: -61617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 4*y - 6. Which is the closest to 1? (a) y (b) 2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210141 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15380909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5*b - 10 = 0. Suppose b = 3*g - 2*j, -5*g = j - 8 - 9. Let v(i) = -g*i + 3*i + 2*i. Give v(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4162 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19509 is divided by 343?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**3\/11 + 534*q**2\/11 = 0.\nAnswer: 0, 267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wxww when four letters picked without replacement from wxhxhhxhxhwfhhhhhww?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1723 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 r when two letters picked without replacement from {m: 2, r: 2, b: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6426794059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 27, 83, -3 in descending order.\nAnswer: 83, 27, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 - 7686*h**2 + 1509837*h + 9336366.\nAnswer: 3*(h - 2347)*(h - 221)*(h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1452109.\nAnswer: 1452109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46858\/5 - -314891\/35. Let j = -378 - c. Calculate the common denominator of 10\/9 and j.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3004476264\/293 + -10254195. Let d = 2\/1465 - v. What is the common denominator of -5\/8 and d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 535475?\nAnswer: 5, 21419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tj when two letters picked without replacement from {t: 8, q: 2, f: 7, u: 1, j: 1}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14, -26, 14?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*j - 54*j - 9522 = 0. Let h = j + -931. Calculate the remainder when h is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1384*g - 1388*g + 4*c = 4, -5*g + 3*c = 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 6*w - 32. Let z(t) = -t**2 - 15*t + 22. Let i be z(w). What is the common denominator of i\/(-27) - (-157)\/(-36) and -79\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1950 and 3120.\nAnswer: 15600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -31 - ((-6)\/(-18))\/((-1)\/9). Is ((-770)\/r)\/((-1)\/(-2)) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*y = 86, 5*z + 104 = -6*y + 4*y. Let n be (-2 - (-24)\/10)*z. Let i be (4 + n)\/((-2)\/1). Is i equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12514\/121 less than 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*u - f, 3*u + 6 = -5*f + 22 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 4, 30.3, 5, 2\/5 in decreasing order.\nAnswer: 30.3, 5, 4, 2\/5, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = 2*f - 4*n, 4*f + 3*n - 14 = 0. Let h(j) = 123*j**3 - 2*j**2 + 8*j - 9. Is h(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15166 (base 10) to base 4.\nAnswer: -3230332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 89 + -88.9. What is the closest to q in 6, 2\/17, -4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 12*u**2 - 21*u + 12. Let r be v(10). Let l = 0 + r. Suppose -4*d + l*f + 1032 = -5*d, 2058 = -2*d + 2*f. Round d to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 n when three letters picked without replacement from fggnnnffnzfnnfgnzffn?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (27 - 2740\/100)\/(0 + 1\/(-5)). Solve -3*c + 3*w = f + 7, -5*w = c + 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/22*(-14)\/(-3 - 4). What is z in -2\/11 + 2\/11*z**2 - g*z**3 + 2\/11*z = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in nine tenths of a decade?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, k: 1, v: 8}. What is prob of picking 3 b and 1 v?\nAnswer: 32\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36871\/108372 + 13\/821. What is the common denominator of p and 9\/803?\nAnswer: 9636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 3, -0.1, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/2)\/p)\/p*p**(2\/47))\/((p\/p**(-4\/15)*p)\/p**1) assuming p is positive.\nAnswer: p**(-3841\/1410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1137653.\nAnswer: 11, 103423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 2:26 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 589137.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -21232.042 and 33209393.\nAnswer: 33188160.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k. Let c = 8 - 9. Let z be x(c). Find the second derivative of 0*v + 3*v**2 - 3*v + z*v wrt v.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*4*(2 + (-5*1*sqrt(242))**2 + sqrt(242) + -5).\nAnswer: -48376 - 88*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -30.31.\nAnswer: 3.031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 - 31. Suppose -2*g - 2 = -o. Let s(x) = x**3 + 6*x**2 - 2*x - 6. Let k be s(-3). Solve 2 = g*q + k for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2*h**3 - 5 + 4 + h**4 + 2*h + 0 to the form v*h**2 + d*h**4 + k*h**3 + p + w*h and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**2 + 21*s**2 + 6*s**2 as c + h*s**2 + b*s and give h.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118, -479, -1080, -1921, -3002, -4323, -5884?\nAnswer: -7685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**2 - 5*l + 5. Let x be g(5). Let z be (-4)\/(-22) + 2850\/x. Suppose -2*r + z = 14. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -169 (base 16) in base 11?\nAnswer: -2a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 330064 and 3789?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -202922*p - 49715894. Calculate f(-245).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 1)*(-65*n + 33*n - 15*n)*(-5 + 5 + 1)*(8 - 1 + 22*n - 7) in the form u + s*n**2 + i*n and give s.\nAnswer: 1034","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 11*s - 7. Let t(i) = -2*i + 2. Let c be t(7). Let r be y(c). Let d = 1 + -1. Solve l + r + d = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46 + 27. Let y = o + 28. Let u = -14 + y. Let t(b) = b. What is t(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111010022 - -11100211212?\nAnswer: 10212201120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 - -57. Suppose -28 = 2*s + 5*q, -7*q - f = 5*s - 3*q. Does -4 = s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (384*f - 6371 + 6371)*(-4 - 4 - 9).\nAnswer: -6528*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 138802 a multiple of 218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i\/(i\/(i*i**0*i)))\/i)\/i**(2\/17) assuming i is positive.\nAnswer: i**(32\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22? (a) -2\/17 (b) -2\/195 (c) -186 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72352192 to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 386646913 to the nearest integer?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 3*d + 5. Let o be h(-2). What is the remainder when 89\/2 + o\/(-2) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-6*sqrt(45) - sqrt(50)\/(sqrt(10) + sqrt(30)\/sqrt(3)) - (sqrt(5) + sqrt(35)\/sqrt(7) + sqrt(5) + -1)*-2)**2.\nAnswer: -3141\/2 - 100*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y**2 + 8*y - 6. Let o(d) = -d**2 - d + 1. Let n(w) = 5*o(w) + r(w). Let q be (0 + 1 + -3)*(-1 + -1). Calculate n(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 22620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4*(sqrt(1700) + -3)*-4)**2.\nAnswer: -92160*sqrt(17) + 2625024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 180013, 182112, 184211, 186310, 188409, 190508?\n\"Answer: 2099*l + 177914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 98 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrr when four letters picked without replacement from lrrrrll.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1570920500 rounded to the nearest 100000?\nAnswer: 1570900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/12*2*-3873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m\/m**(7\/6))*m)\/(m*m**26))\/(m*m**(-8\/11)*m*m*m*m*m**(10\/3)) assuming m is positive.\nAnswer: m**(-2075\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 2\/15, 0.027, -4, -2\/3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.8327849 to 2 decimal places.\nAnswer: -20.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**5\/5 + 2464*q**4\/5 + 364384*q**3\/5 - 4642176*q**2\/5 + 14197824*q\/5.\nAnswer: 4*q*(q - 6)**2*(q + 314)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1092516211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1979 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9345 greater than 18687\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -1 - ((-6 - -1) + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 71, 110, 145, 182, 227, 286?\n\"Answer: n**3 - 8*n**2 + 56*n + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 3)*-8 - (-221 - -113). Solve -9*h + n = 55 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a82 (base 13) to base 11\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 20*z = 12*z + 57, 3*w - 167*z = -168*z + 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 466 at least as big as 466?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 868 + 385. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iib when three letters picked without replacement from {w: 1, i: 2, b: 8, o: 2}.\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30370618 and 2330?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 2690?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (5 - -1) + (-1 - -1) and 1764\/108 + 55\/33?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-5)\/(-78))\/(-5))\/(24\/22680*-5*-9)\nAnswer: -7\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -1\/210*z**8 - 1 + 7\/75*z**7 + 61\/75*z**5 - 4*z**2 - 3\/5*z**6 + 0*z + 14\/3*z**4 - 5*z**3. Let m(w) = 0. Calculate w.\nAnswer: -1, 1\/4, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14495 + 14569. What is the remainder when 193 is divided by v?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5646 - -1575197\/279. Calculate the common denominator of -49\/159 and k.\nAnswer: 14787","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 500000*t**3 + t**2 - t. Suppose -x + 6 = 5*w - 4, -5*w = -4*x + 15. Let c be p(w). What is c rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 v, and 1 w when four letters picked without replacement from {s: 9, w: 2, x: 1, v: 3, g: 2}.\nAnswer: 54\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, f: 1, y: 2, i: 1, u: 2}. Give prob of sequence uyuy.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108389841?\nAnswer: 3, 7, 17, 303613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 748, 1003, 1260, 1519, 1780?\n\"Answer: c**2 + 252*c + 495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 4 - 1 - 1)*(-2*y + 6*y - 2*y).\nAnswer: 4*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-3)*((-980)\/40 - -26)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 + 0 - 5 + 2 + 2 + (0 + 2 - 3)*(6 - 3 - 1) + 4 - 1 - 1)*(2*y + 1 + 2*y - 2*y) to b*y + h and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 3*l + 24, -3*a + 3*l - 2*l + 12 = 0. Suppose a*q = 4*p - 23, 8*q + 15 = 3*q. Let r be p - ((-8)\/12)\/(1\/3). Solve 0 = w + r - 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 957871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13.1 + -13. Which is the nearest to d? (a) 2\/13 (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -12. Let d = -0.5 - b. What is the third biggest value in -1, 2, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14.6 in 2\/343, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07 and -29.9?\nAnswer: -2.093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*n + 2*s, -s - 13 = -n - 6*s. Let b be n*2\/(4*3). Suppose -2*w + 6*w - 3*w = 0. Which is bigger: b or w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1127615673 divided by 6\nAnswer: -375871891\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 4, -g = 4*g - 2*z + 33. Sort -2, g, 4, -5.\nAnswer: g, -5, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2161?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2255003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 3*c**2 - 4*c - 2. Let h be b(-1). What are the prime factors of ((-88)\/(-10))\/(h\/(-35))?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 39798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 284559556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 1379*n + 70318. What is f(53)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 550 a factor of 6245800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 8:38 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3257*r**2 - 5*r. Let q(y) = 3167434*y**2 + 4863*y. What is -5*q(s) - 4863*v(s)?\nAnswer: 1621*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (764 + 480 - 2*v + 5*v**2 - 1436)*(2*v - 2*v**3 - 2*v).\nAnswer: -10*v**5 + 4*v**4 + 384*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 299884, 299194, 298504, 297814, 297124, 296434?\n\"Answer: -690*n + 300574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -122 + 348. Let u be 32\/6*135\/180. Suppose -u*w + z = -6*w. Round w to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 432 and 8532?\nAnswer: 34128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lg when two letters picked without replacement from {x: 3, j: 10, e: 2, l: 1, u: 1, g: 1}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yedmeidijymy. What is prob of sequence yyjm?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 4*h**5 + 2404*h**4 + 16520*h**3 - 66448*h**2 + 47520*h = 0?\nAnswer: -594, -10, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 14 - 17 - (2 - 5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 686*v = 682*v + 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1095492, -0.3, -5, 3?\nAnswer: -1095492","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 4*a**2 - 2*a. What is v(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(315)\/sqrt(7) - sqrt(45)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/54)\/((-2)\/(-8)*2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -u**3\/3 - 11*u**2\/2 - 7*u + 690. Determine w(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/2 (b) 0 (c) -6421 (d) 1 (e) -173 (f) 5 (g) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -6, -3, 2096, -1 in increasing order.\nAnswer: -6, -3, -1, 4, 2096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1576\/1970)\/((-8)\/(-230))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (15 - 12 - -9) - -8.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1\/10, 0.5, 2, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -67.\nAnswer: -67, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 853272, 1706519, 2559766, 3413013?\n\"Answer: 853247*s + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 333.\nAnswer: 1665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -8151000 to the nearest one hundred thousand.\nAnswer: -8200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -6 (b) -49 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005790413 rounded to 7 decimal places?\nAnswer: 0.0000579","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1643 - -1660. Suppose 272 = 5*a - a. Calculate the highest common divisor of a and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 26*y - 89. Determine t(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 26*k**3 - 4*k - 4. Let i(w) = w**3 - w - 1. Let b = -1303 - -1307. Give b*i(o) - m(o).\nAnswer: -22*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*((i\/(i**44*i))\/i)\/i)\/i)\/(i**(-1\/4)\/i))**(-3\/32) assuming i is positive.\nAnswer: i**(525\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -23*y**2\/2 + 52. Let k(l) be the third derivative of -l**4\/24 + 2*l**2. What is i(k(r))?\nAnswer: 23*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6253 (base 10) to base 4\nAnswer: 1201231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -194*v + 3. Is g(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-77 - 83 + 72*z + 160)*(0 + 3 - 1)*(2*z - 4*z + z)*(68*z + 46*z - 34*z) in the form x*z**3 + a*z**2 + u + q*z and give x.\nAnswer: -11520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 1 + 2 + (0 - (-1 - -2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -746 - 760 + 1520 - 255*c**3 wrt c.\nAnswer: -765*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 122431, 245002, 367573, 490144, 612715?\n\"Answer: 122571*v - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, n: 1, u: 1, b: 1, i: 2, q: 1}. What is prob of sequence biq?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -83 + 89. Suppose l*a - 15 = a. What is the biggest value in 0.06, -1\/3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 + 42 = -8*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -19286, -38573, -57860?\n\"Answer: -19287*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 2*k**2 - k + 8. Determine s(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 12) to base 6.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3612 = -5160. Does 14 divide (-1)\/(-9) + f\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5*s**2 + 74*s - 290. What is g(-18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-2 - 1 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 28\/21*(-102)\/(-4). Calculate the highest common factor of 2 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - l. Let u(b) = 3*b**2. Let q = 8067 - 8063. Calculate q*j(g) - u(g).\nAnswer: g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 81\/6*(24 - -2). Let m be -1 - 1*c\/(-77). Let d = m + -36\/11. Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 - -27. What is the tens digit of 404\/8 - v\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 5 = 3, 0 = 203*m - 198*m - x + 10 - 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 0 - -5) + (-5 - (3 + -2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 divided by 7?\nAnswer: 101\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -4*p + 8. Let x be r(-10). Suppose -4*n = -0*n - x. Solve 0 = 4*k + 4*g + n, 0 = -g - 3*g - 16 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30425734 a multiple of 977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 3*p - 3, y = -2*y + 3*p - 3. Let b(d) = d**3 + 7*d**2 + 7*d + 15. Let z be b(-6). Solve 3*l + y = z for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/286442 and 51\/1295216.\nAnswer: 29789968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(3 + (0 + sqrt(2057))*-3)*-3)**2.\nAnswer: -44550*sqrt(17) + 4167450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - o. Let g(v) = 2*v**3 - 2*v**2 + 2*v. Let f = -75 - -71. Give f*i(y) - 2*g(y).\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + 10. Let d be z(10). Let f be d*(2 - 5\/2). Solve f = -3*k + 4*k - 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/20*5 - 760\/(-38).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 14) to base 4.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -31*v**2 + 14. Suppose 4*h + b = 40, h + 2*h + b = 31. Let y(q) = -16*q**2 + 7. Let j(l) = h*y(l) - 4*r(l). Find the first derivative of j(s) wrt s.\nAnswer: -40*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -546365 (base 8) in base 2?\nAnswer: -101100110011110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*m - 5179 - 26475. What is the greatest common factor of m and 1904?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.01 - 0.11. Let x = -6 - -1. Put 0.3, x, m in descending order.\nAnswer: 0.3, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -239*k. Let j be n(4). Let p = j + 527. Let f = 622 + p. Does 32 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g*g**(5\/2))*g**(-2\/41))**(-6) assuming g is positive.\nAnswer: g**(873\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 810 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6 - (-1)\/((-55)\/(-27420)). Let u = m - 18344\/33. Is -64 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -401?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4 or -65521214?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14*y**2 + 1922100*y + 107772761 wrt y?\nAnswer: 28*y + 1922100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(405) + -1 + -3 + sqrt(405))*4 + 4)**2.\nAnswer: -1728*sqrt(5) + 26067","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -279, -559, -839, -1119, -1399?\n\"Answer: -280*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, 2, 10, 0, -7, 12 in increasing order.\nAnswer: -51, -7, 0, 2, 10, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ctx when three letters picked without replacement from {t: 2, c: 2, x: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - s = -10*c - 2, 0 = -5*c + 4*s + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*j = 35, -j - 1853 = -2*z - 1828. Solve 0 = 156*s - 160*s - 3*h + 2, -3*h + z = -4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2*139\/(-20))\/51. Let n = -2\/51 - p. What is the common denominator of 9\/8 and n?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15282 divided by 6?\nAnswer: 2547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - v**2 + v - 14. Let a be x(0). Let w = 26 + a. Let i be (-3*28\/w)\/(-1). Solve k + i - 2 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331)*-1 + sqrt(1331) + sqrt(1331) + sqrt(11) + sqrt(11) - (sqrt(99) + 1) - (sqrt(99)\/(sqrt(36)\/sqrt(4)) + (sqrt(1584) - (sqrt(1584) + 0))))**2.\nAnswer: -18*sqrt(11) + 892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i. Let x(j) = 2*j + 4. Let v(q) = -d(q) - x(q). What is v(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -1, -15, -47, -103, -189?\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, t: 3, z: 2, o: 10, y: 3}. What is prob of picking 1 m, 1 o, and 1 z?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2. Let i(j) = 3*j**2 - 20226*j + 479. What is i(k(z))?\nAnswer: 3*z**4 + 20226*z**2 + 479","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2484 = -2*b, 2*u - 3*b = -6*b + 1661. Suppose 21*t + 37*t - 729 = 83. What is the greatest common factor of t and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**5 + a**5 - 3*a**5 + a**5 - 2*a**5 + 2*a**5 + (-3*a**4 + a**4 + 0*a**4)*(-2*a + 2 - 2) + 2*a**5 - 3*a**5 + 2*a**5.\nAnswer: 5*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*r**2 + 147*r**2 + r**3 - 296*r**2 - 659*r.\nAnswer: r**3 - 2*r**2 - 659*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 6. Suppose 5*q + s = 44. Let a be 1*(48 - -1)*1. What is the greatest common factor of a and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/292 and 45\/44.\nAnswer: 3212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3\/893 + -902\/2679. What is the smallest value in 1\/5, u, -0.8, 5?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -122320907*k**3 + 32606*k**2 + 1662 wrt k?\nAnswer: -733925442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2476*p**3*t*u + 179*p**2*t*u + 3*p**2*t - t*u wrt p?\nAnswer: -14856*t*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50748 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 8*h**2 + 10*h - 6. Let z be (-14)\/2 - -2 - 2. Let y be 14\/(z\/(7\/(-2))). List the prime factors of r(y).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6249199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*q = 16020, -3*q = 4*x - 71947 + 7903. What is the ten thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*6*(5*(1*sqrt(684))**2 + 5).\nAnswer: -61650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 60125454 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (80*k**2 + 12*k**2 - 118*k**2 + 280*k**2)*(0*k**2 + 3*k**2 - 4*k**2)*(-6 + 16 + 3).\nAnswer: -3302*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 12*l**2 - 2*l + 18. Let x(y) = y**2 - y + 1. Let w(o) = k(o) - 10*x(o). Factor w(f).\nAnswer: 2*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -1 - 9, -5*g = -3*h - 6. Suppose 0 = p - 2*m - 58, 2*p + g*p = -3*m + 102. Calculate the highest common factor of 135 and p.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74*p**2*s**3*u**3 - p**2*u**3 - 6*p*s**3*u + 36*p*s*u**3 - s**3*u**3 wrt p.\nAnswer: 148*s**3*u**3 - 2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.02 - -4. Let p = r - 0.08. Which is the closest to p? (a) 4 (b) 3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1714 = 57*k + 5*v - 1512, -4*k - v - 33 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r + r - 2*r + (0 + 3 + 0)*(-2 - 4 + 4)*(-3 + 1 - 2)*(-11*r - 8*r + 8*r + 1).\nAnswer: -265*r + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, s: 2, u: 1, v: 1, x: 2, e: 2}. Give prob of sequence sux.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4*q - 18 = q, q = 3*a. Which is bigger: a or -9\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a - 7 - 15 = 0. Let y be ((-1652)\/(-70))\/(a\/(-10)). What is the highest common divisor of y and 177?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 1334297600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - 13\/((-65)\/10). Is m + 0 + 83565\/(1 - -4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 731.5 * 0.0089\nAnswer: 6.51035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30362.024 - -30362. Which is greater: -28\/9 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + 27 + (-62 - -22).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-45)\/(-60) - ((-6)\/168*51 - -2). Determine i, given that -4\/7*i**2 + m*i + 0 + 1\/7*i**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (8 - 5) + -8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a**2 + 10*a - 2. Let b(q) = -3*q**2 - 13*q + 2. Give 3*b(p) + 2*m(p).\nAnswer: -3*p**2 - 19*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 7, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -4\/3*t**3 - 1\/10*t**5 + 0 - 1\/2*t**4 - 1\/120*t**6 - 3*t - 2*t**2. Solve j(h) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -131*q**2 + 396*q + 3. Calculate w(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssbses. What is prob of sequence esb?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236662 is divided by 966.\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -6082 smaller than 1\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 651 = -105*u - 714 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -75 + 12 + (31 - 19)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -0.07\nAnswer: -0.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*x + 207*x - 1713 = 61*a - 33*x, -x = -4*a - 111 for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.093 - 0.063. What is the closest to x in 2, -1\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3043162 - 2.2\nAnswer: -1.8956838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2508509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 58.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven eighths of a kilogram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-69)\/(-35) + 15\/25. Let z = 2551 - 7651\/3. Which is the closest to z? (a) 4 (b) h (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/45 of a week?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/8)\/(3\/(-6)). Let n be (1\/4 - 50\/40) + -2. Sort 3, x, n in decreasing order.\nAnswer: 3, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -1568*s + 7888. What is o(5)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 173134 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45010852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -3*f**4\/8 + f**3\/2 + 21*f**2. Let d(s) = -s. Give d(j(r)).\nAnswer: 9*r - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36415721.\nAnswer: 977, 37273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -54550 bigger than -54550?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-172)\/(-258)*9\/(-291)?\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-1\/15))**(-24))**9)**(1\/26) assuming v is positive.\nAnswer: v**(36\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 133123310233?\nAnswer: -133123310223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 f when two letters picked without replacement from fhpxfpkd?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 6*v**2 - 23*v + 24. Let k(t) = 5*t**2 - 22*t + 24. Let n(c) = 6*h(c) - 7*k(c). What is the tens digit of n(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -13) + (-1 - 2 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 130353, 4, -9 in ascending order.\nAnswer: -9, 4, 130353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2648878, -5297858, -7946838, -10595818, -13244798?\n\"Answer: -2648980*a + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2511543 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 10:38 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 divided by 2?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*c + 29*c - 608 = -33*c. Solve c - 26 = 10*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of h**7\/105 + 29*h**6\/30 + 28*h**5 - 29*h**4\/6 - 841*h**3\/3 - 922*h**2. Find n such that x(n) = 0.\nAnswer: -29, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 11, 38, -2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -t**8\/252 - 4*t**7\/315 + 2*t**5\/45 + t**4\/18 + 15*t**2\/2 + 12*t. Let m(b) be the first derivative of x(b). Factor m(o).\nAnswer: -4*o*(o - 1)*(o + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 6 + -12 + -8 + 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 43 - 957541\/(-18031) - ((-6)\/3 + 15)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13234*t**3*w**3 + 13*t**3*w**2 + 15*t**2*w**3 - t**2*w**2 - 1313*t*w**3 - 4 wrt t.\nAnswer: -79404*w**3 + 78*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 8:21 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) -3 (c) -0.1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 113 and -45?\nAnswer: -5085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of 0*t**3 + 0*t**5 - 26*t**2 - 1\/2184*t**8 - 2\/1365*t**7 - 1\/780*t**6 + 0 + 0*t**4 + 0*t. Determine i, given that l(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/96 and -47\/300.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1123 - 54031*y + 27017*y + 27001*y.\nAnswer: -13*y + 1123","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34113 - 18680. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(16\/2))\/(6\/(-63)*7)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18 - -21)*(0 - -1). Solve -r - i = 4*k + 3, -r = -k + 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p + 3*p + 11*p**2 - 107 - 510 - 2*p.\nAnswer: 11*p**2 + p - 617","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -352, -1674, -3896, -6970, -10848, -15482, -20824?\nAnswer: -26826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-3))\/(10\/(-30)). Let l be 1\/(-1 + h + 3). What is the greatest common factor of 9 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-194)\/(-18) + (-6)\/(-27). Let q = d - 19. Let p be (q\/20)\/((-18)\/(-20)). Which is the second biggest value? (a) -1 (b) -0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/23)*k*k\/(k*k**0) assuming k is positive.\nAnswer: k**(24\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 5842518?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1030 - 2588 + 1024 + 534 - 131*k.\nAnswer: -131*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x + 3*x + 0*x + (-2*x + 4 - 4)*(-1 + 6 - 3) + (-x + 0 + 0)*(2 - 4 + 5) - 4*x + 3*x + 0*x in the form b + w*x and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(304) + ((sqrt(133)*4 + sqrt(133))\/sqrt(7))**2 + 4.\nAnswer: 8*sqrt(19) + 479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8862 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -4\/3, -33 in ascending order.\nAnswer: -33, -4\/3, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 480 + -478. Let w be 1\/3 - 164\/42. Let k = 23\/7 + w. Sort 1, k, -0.2, n in increasing order.\nAnswer: k, -0.2, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from hhyhyyyyhvhvhhh.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -654 + 653.9459. Round g to 3 decimal places.\nAnswer: -0.054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 2) to base 13.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -54*h**2 + 683*h - 5. Let y(p) = 11*p**2 - 134*p + 1. Determine 2*w(a) + 11*y(a).\nAnswer: 13*a**2 - 108*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 15, 28, 43, 60, 79?\n\"Answer: l**2 + 10*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, t: 4, a: 1, m: 3, n: 1, c: 2}. Give prob of picking 1 n and 1 t.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41550 - 30024?\nAnswer: -112014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -32e0 + -4b4?\nAnswer: -3794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p. Let a be -7 + 0\/(2 - 1). Let x(m) be the second derivative of m**3\/3 - 4*m. Calculate a*s(z) - 3*x(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 17422*d + 5777*d - 6266*d - 12.\nAnswer: -17911*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6190460, 12380883, 18571306, 24761729, 30952152, 37142575?\n\"Answer: 6190423*a + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3392960 and 320?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**1\/u))**(13\/6)*u*u**4*u*u**0)\/(((u*u**(-5))\/u**4)\/(u**3*u*u\/(u**1\/u))) assuming u is positive.\nAnswer: u**(127\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/4)\/(3 + (-90)\/24). Let c(w) = -360*w**j + 8 + 725*w**2 + 2*w - 364*w**2. Give c(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/67 (b) 10 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 42121732*v**2 - 113834383?\nAnswer: 84243464*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 248 and 899?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 396, 396, 398, 402, 408, 416, 426?\nAnswer: 438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/(-25))\/(32\/60). What is the second smallest value in g, 0, -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 904342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5553120*r**5 + r**4 + r**3 - 63638271*r**2?\nAnswer: 333187200*r**2 + 24*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 352?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -13.983. Let l = 0.0207 + p. Round l to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -132 - -138. Solve 0*h - n = 3*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242545 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.9 - 6.6. What is the nearest to 3 in r, -5, -2\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 15*u**2 - 17*u + 15. Let g be i(16). Sort g, -5, 27 in ascending order.\nAnswer: -5, g, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 432138?\nAnswer: 2, 3, 7, 10289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*u = 16*u + 40. Let l = -27 + 21. Let i = 8 + l. Solve -3 = -u*v + i for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/5)*t)**(2\/5)*(t\/(t**1\/t*t))**(-1\/28)*(t*t\/(t\/(t*t**(1\/2))*t*t))**(-38\/3)\/(t**(-1))**(-12) assuming t is positive.\nAnswer: t**(-1357\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23068 and 316?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 10 - 6 = 0. Suppose -2*c = -n*c + 24. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33517109*p - 50470134 with respect to p.\nAnswer: 33517109","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-2\/7))\/(o**(-3)\/o))**(-2\/33)\/((o**1*o\/(o\/o**(-3\/2)))\/(o**(-3\/7)\/(o*o*o**(-1\/3)))) assuming o is positive.\nAnswer: o**(-79\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 3, 2\/11, -2, 0.4, 0, -1, -1844?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/785 and -9\/785?\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16419401 to the nearest integer?\nAnswer: 4052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*c - 3*c**3 - 94*c.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -257957, -257952, -257921, -257852, -257733?\nAnswer: -257552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + ((-2)\/(-11) - (-294)\/(-286))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 665?\nAnswer: 11970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 71701033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-4 + -1 + sqrt(2057) + 1)**2 + -2)*-1.\nAnswer: -2073 + 88*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 1:50 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 2 - (-10 - 0). Let d = -14 + q. Sort 5, d, -3 in descending order.\nAnswer: 5, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307*g = -306*g - 1594. Does 49 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.9 - 1.7. Let d = v + 0.4. Which is the nearest to -0.1? (a) 0.4 (b) d (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -f**4\/8 + f**3 - 26*f**2. What is u(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -106239 - -46239. Round d to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1520, -3047, -4574, -6101?\n\"Answer: -1527*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5938 + 5937.999996938. Round u to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c1c (base 13) to base 15.\nAnswer: -2864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-1\/9))**29)**22 assuming g is positive.\nAnswer: g**(6380\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -0.15, 1.4 in increasing order.\nAnswer: -2\/11, -0.15, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -2*a - 612. Suppose 4*r - 135 = a. What is the highest common factor of r and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 3318634\/141?\nAnswer: 3318634\/141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -6. Suppose 4*x - 2 = u*x. Suppose 2\/7*h - 4\/7*h**x + 0 + 2\/7*h**3 = 0. Calculate h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11550 + -11406. Solve l = 14*a + 32 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 4215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1469*g**2 - 1792*g**2 - 4 + 4 to w + y*g + i*g**2 and give i.\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 47\/33 + 14\/21. Let m = y - 783\/385. Suppose d + 2 = 1. Which is bigger: d or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*b - 58*b - 35*b - 12 = 3*u, 21 = -5*b - 4*u for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1520)\/(-800) + 2\/20?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -85 - -59. Let h(s) = -4 - 5 + s**3 - 6*s - 2*s**2 + 28*s**2 + 0*s**3. Calculate the remainder when h(f) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 8496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, r: 3, e: 2, c: 3, s: 1}. What is prob of sequence sde?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, o: 4, n: 2, p: 4, y: 3}. Give prob of picking 2 o and 1 n.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6459 * 3\nAnswer: -19377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/9 - 28*w\/3.\nAnswer: 2*w*(w - 42)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 + 32. Solve d = -b*d - 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(-2*sqrt(4) - sqrt(4) - sqrt(4)) + -4*sqrt(5)*1)**2.\nAnswer: 1445\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92.5 + -93. Which is the closest to 2\/3? (a) d (b) 0 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2342023044 (base 5) to base 7\nAnswer: -64046011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**3 + 3*m**2 - 3*m - 2. Determine b(-4).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -135a - 103?\nAnswer: -1462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 - 32*j**2 - 2*j**3 + 8*j**4 + 5*j**5 - 3*j**5 + 23*j**2 - 4*j**2.\nAnswer: 2*j**2*(j - 1)*(j + 1)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 74*k - 1. Let i be w(-1). Let m be ((-10)\/i)\/(10\/(-4)). Let g = m + -493\/600. Calculate the common denominator of 145\/6 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - 3) + (102 - 103)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**5\/7 - 2754*u**4\/7 - 90684*u**3 - 1258584*u**2\/7.\nAnswer: -3*u**2*(u + 2)*(u + 458)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 912470084?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/32 and 17\/88.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 6\/7, -6, -56?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of h**7\/42 + 19*h**6\/60 - 41*h**5\/40 - 91*h**4\/24 - 11*h**3\/4 - 31*h + 26. Let v(q) = 0. Calculate q.\nAnswer: -11, -1, -1\/2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1411 = 16*h - 11*h - y, -2*y - 566 = -2*h. What is the highest common factor of 752 and h?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 + (12 - 23 - -11) - 53\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 28.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 10, y: 2}. What is prob of sequence yyd?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*z + 26. Solve -2*r + 4 = -r + 2*t, z*r + 21 = 5*t for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/9 (b) 10 (c) -31 (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u + 18. What is r(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -20*p - 8. Suppose -5*x + 3*k - 32 = 0, 5*x + 2*k + 9 = 4*x. Let g be z(x). What is the greatest common divisor of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of (-6)\/(-10) + 63\/(-105) + 1275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -535*m**3*r**3 - 330*m**3*r - m*r**2 + 2*r**4 + 474*r**3 + 41*r**2 - 8*r wrt r?\nAnswer: -3210*m**3 + 48*r + 2844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 5 + (8 - 12) + 4.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (15 - -1) - 5 - -5\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in 0, 3, 10\/7, 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 5*h = 0, -21 = -2278*m + 2280*m - 6*h + 3*h for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 9*h**3 + 306*h**2 - 29*h - 971. Calculate j(-34).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 11:04 PM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 30*u**3 - 7*u**2 + 8*u + 2. Let v be m(2). Suppose -14*g - v = -1210. Is g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-1))\/((-3)\/4). Suppose 4*h + g*o = 8, 7*o - 3*o = -8. Is (5*-1)\/((-2)\/h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 5*j**2 + 7*j - 2. Let k be r(6). Suppose -k*z + 6 = -6. Let m = z + 1. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + (-1*(sqrt(128) + (sqrt(128) - (sqrt(128) + 0))) - (sqrt(128) + 1*2*sqrt(128)))**2).\nAnswer: -4100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*g = -46, -5 = -2*i - 5*g - 6. What is the remainder when (-210)\/i*(-8)\/10 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 585795.27+-677788\nAnswer: -91992.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 371312 - 37.\nAnswer: 371275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 7*i - 8. Let s be o(-3). Suppose s*d = 2*f - 46, 5*f - 3*d = -0*d + 150. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 0 - (15 - -6). Let j = 11 + -23. Let n = j - f. Is n a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 2*g = 8, -3*k + g - 12 = 4*g for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -11 + 31. Let w(r) = r**2 - 3*r - 7. Let l be w(p). Suppose 0*a + 615 = l*a + 5*u, 5*a - 1056 = 2*u. Is a a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1401.5 greater than or equal to 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/35, 0.64, 8 in increasing order.\nAnswer: 2\/35, 0.64, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -101216331 (base 7) in base 12?\nAnswer: -1b963b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8031564, 16063172, 24094770, 32126352, 40157912, 48189444, 56220942?\n\"Answer: -q**3 + q**2 + 8031612*q - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6497\/15 + -2154\/5. Let h(f) be the first derivative of 9 + z*f**3 - 13*f + 0*f**2. What is the derivative of h(m) wrt m?\nAnswer: 14*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 40 = -5*p, 0 = p + 2*j - j. Suppose -1 + 46 = p*y. Calculate the remainder when 62 is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*n - 129 - 263 = 0. Put 1\/20, 0, n in increasing order.\nAnswer: 0, 1\/20, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85057183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 182 + -155. Solve -23 + 12 - q - 22 + 5*z**2 + 5*z = 0 for z.\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33\/940, 186\/11, 0.5 in increasing order.\nAnswer: -33\/940, 0.5, 186\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9*-27*(-30 + 14 + -7)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8828 + 1553763\/176. Calculate the common denominator of f and -29\/160.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-27)\/(-108)*(-56)\/(-2). Let t(i) = i**3 - 9*i**2 + 10*i - 2. Give t(k).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 7*x - 7 = 6*x, 5*x = 5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 15. Suppose 5*o + 32 = s, 18 = s - 4*o - a. Let r = -12 + s. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 v, and 1 y when three letters picked without replacement from vzjjjjzzzuy?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1219, -6491, -15267, -27541, -43307, -62559, -85291?\nAnswer: -111497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*m + 36 = 0, 3*m - 22 = -2*n + 40. Suppose 18 + n = 2*u. Suppose 5*v - 83 + u = 0. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2. Let f(w) = -27*w - 4. Let i(o) = 82*o + 11. Let p(r) = 11*f(r) + 4*i(r). Give n(p(y)).\nAnswer: -961*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -177*-3*(-1)\/(-9). Let i = -51 + s. Suppose j - 5*c - 28 = 7, 2*c + i = 0. Calculate the greatest common divisor of j and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43 + -53 - (-433 - -317 - (-16 + 0))\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 18271272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 10, 5, -46, -4, -23 in descending order.\nAnswer: 10, 5, -4, -10, -23, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 11*m + 20. Let s be i(-8). Is s greater than -23\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.347 + 90.773. Let r = 95 - u. Let z = r + 0.12. Which is bigger: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-12 + 13 + -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**2. Let g(i) be the second derivative of 209*i**3\/6 - 61*i - 5. Determine x(g(w)).\nAnswer: 131043*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/100)\/(2\/4)*(-3000)\/(-150)?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 1991?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 80759 and -1.\nAnswer: -80759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 23052, 46031, 69010?\n\"Answer: 22979*m + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-3)\/3)\/((-44)\/(-188)) and (-12)\/(-15) - (-13)\/140?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 5 = 1. Let j = 1 + p. Let q = 68\/45 + -10\/9. Is j not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 3*b + 5*b = -23, -3*t - 4*b - 11 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u + 1 - 2*u**3 + 5 + 3*u**3 - 2*u**2. Let d be l(4). Suppose 6 = 3*a, 4*j + d + 54 = -4*a. Round j to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15878 divided by -9509\nAnswer: -15878\/9509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*s + 187 = -13 - 163 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27472 and 10064?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101122 (base 3) to base 7.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59536038 is divided by 1452098.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -765 + -6?\nAnswer: -76b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - d - 46 - 16 = 0, 2*d + 52 = 4*i. Let q = i - 12. Solve q = -5*g + 8 + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 123876 and 1998?\nAnswer: 123876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 10, n: 10}. What is prob of picking 2 n and 2 w?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/25 - 139\/235. Let a = -2399\/235 + p. Find the common denominator of a and -2\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 2*f + 14, f + 1 = -y + 2. Let k(l) = 2*l**2 - l - 1. Let r be k(-1). Solve -3*s - r*w = 13, 5*w + 1 = 4*s + y*w for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24457\/2845 + 2\/569. Calculate the common denominator of -7\/5 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 + -4 + (-15 - -8 - 4) + 22?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -t**6 - 89*t**5 + 718*t**2?\nAnswer: -120*t**3 - 5340*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/(2 - 3\/3). Let p be (-2)\/3*(-6)\/t. Suppose -12 = -5*v - 32. What is the nearest to 1 in p, v, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7, -6, -188 in decreasing order.\nAnswer: -5, -6, -7, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50868 (base 15) to base 8.\nAnswer: -762057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -200 * -3075.\nAnswer: 615000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 866, 871, 880, 893, 910, 931, 956?\nAnswer: 985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -364*z - 12*z**2 + 364*z.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - 21. Suppose -41 + c = -7*w. Suppose -3*y - w*y**4 + 8*y**4 + 2*y**2 + 3*y**3 + y**2 - 6*y**4 = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 19*r - 16. Let w = 2722 - 2022. Calculate the remainder when w is divided by f(7).\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 20691*x - 186222. Calculate f(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 1011?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o + 3019*o**2 - 2*o + 4*o - 5*o.\nAnswer: 3019*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 408*z**5 - 551*z**5 - z**4 + z**4 - 901*z**5 + (-2*z**5 + 0*z**5 + 3*z**5)*(-1 - 3 + 3).\nAnswer: -1045*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102139432.\nAnswer: 2, 829, 15401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1. Suppose i = 5*g - 3*g - 4. Let w(s) = 3*s**g + 4*s - 4*s. Let u(v) = -2*v. What is u(w(r))?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -0.0596, 4, 0.5, -113.6, -2\/3?\nAnswer: -0.0596","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -26*t + 29. Is r(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27\/20 + 3\/4. Which is the closest to -1\/5? (a) 0.5 (b) 0.4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -82, -120, -156, -190, -222, -252?\nAnswer: -280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u + 1. Let r(a) = a**2 + 2*a - 1. Let x be r(0). Let j be t(x). What is the remainder when 4 + 46 + (-9)\/j is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25377 not equal to -25377?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 964 = -100. Suppose 4*w - 214 = v. Let p = w - 598\/5. What is the nearest to 1\/3 in -1\/2, -0.3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 6. Let p = 0.358 - 1.358. Which is the closest to p? (a) -8 (b) -2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 0.0402.\nAnswer: -0.0201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/7779835 or 1?\nAnswer: 4\/7779835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1912316, -1912319, -1912322, -1912325, -1912328, -1912331?\nAnswer: -1912334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 1391*p**2 - 3*p + 9. Let l(s) = -4169*s**2 + 8*s - 24. Calculate -8*d(a) - 3*l(a).\nAnswer: 1379*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 252, 257, 276, 315, 380?\n\"Answer: l**3 + l**2 - 5*l + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218834831.\nAnswer: 109, 2007659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50054 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 2. Let b(p) = 2*p**2 - 2*p - 4. Let s be b(a). Suppose 3*f - 13 - s = 3*r, 3*f = -2*r + 13. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -7*m + 5. Let k(j) be the second derivative of -55*j - 1\/2*j**2 + 1\/6*j**3 - 1. Calculate -3*k(h) - s(h).\nAnswer: 4*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express l**3 - 68*l**4 + 3*l - 49*l**4 + 186*l**4 + 2 - 62*l**4 + 3*l**2 + 34*l**2 in the form y*l**4 + j*l**3 + f*l + g + q*l**2 and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 69. Suppose 0*r + a = r. Calculate the remainder when r is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.0109 less than -0.4?\nAnswer: 44.6109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of s**5\/60 - s**3\/3 - 3*s**2\/2 + 3*s. Let a(r) be the first derivative of t(r). What is the first derivative of a(f) wrt f?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -370*n - 14. Let z(h) = -148*h - 6. Determine -5*q(f) + 12*z(f).\nAnswer: 74*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -5, 11\/4?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*h**3\/3 - 116*h**2\/3 + 76*h\/3 - 4 = 0. Calculate h.\nAnswer: 3\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 - 8. What is the smallest common multiple of 53 and v(3)?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/20 (b) -5838 (c) -0.4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.05877 times -0.27?\nAnswer: 0.8258679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3\/(-24)*-32)\/(4\/7937).\nAnswer: 7937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1406567552.\nAnswer: 2, 13, 59, 14327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*d**2 + d**2 - 4*d**2 + 19*d**2 to the form y*d + a*d**2 + g and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**0)**43*(b*b**(-2)*b)**(-2\/23) assuming b is positive.\nAnswer: b**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 178809 to the power of 1\/2, to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 7*x**2 + 8*x - 5. Let c be l(6). Suppose -i + c = -23. Calculate the remainder when i is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5*p**3 + p**2 - 2. Let l be c(1). Solve l*y = -y - 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 10 = -2*o, 0 = -m + 264*o - 260*o + 20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/110154 and 157\/528.\nAnswer: 881232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 54*v**2 - 5622*v + 35895. Determine d(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -95.18 - 8\nAnswer: -103.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -4994 >= -4925?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 416871450?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -24*k + 508. Let t be z(20). Sort -4, t, -2, 2 in increasing order.\nAnswer: -4, -2, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 81.3 - 561577224.\nAnswer: -561577142.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 105*z**2 - 283*z + 3816. Calculate x(103).\nAnswer: -4115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**6\/360 - d**4\/12 + 2*d. Let b(q) be the third derivative of c(q). Let m(g) = -1 - 4*g + 1. Give b(m(w)).\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2172 by 543.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 131 = 21. Suppose 3*l - 2*l - 1 = d, l = -4*d + 16. Suppose 18 + 0 = d*x. What is the least common multiple of g and x?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(68) + -4*sqrt(68)*3)\/sqrt(4) + 1.\nAnswer: -11*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3297 = 3*n + 349, -2*n = -s + 725. Suppose 18*i - s = i. Calculate the remainder when i is divided by 27.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 5*m + 0*m - 3935 = 0, -2*m = -4. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32870 * 0.4.\nAnswer: 13148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z - 1 + 3*z**2 - 6*z)*(-z + 2*z + 0*z) - 2*z**3 - 2*z**3 + 2*z**3.\nAnswer: z**3 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 877546 is divided by 877540.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1292, -1290, -1292, -1298?\n\"Answer: -2*z**2 + 8*z - 1298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 5*h - 4*h + 6, -2*q + 4 = -2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 738 - 828 - (-44 - -3)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11 - -5)*(-2)\/3. Let z be ((-6)\/b)\/(21\/(-70)). Suppose 185 = z*o + 40. List the prime factors of o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 161*v - 2329*v + 84*v as m + g*v and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*300\/(-560)*4.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1695*o**2*z - 7*o**2 - 2*o*z + 3*o + 2843354*z wrt o.\nAnswer: -3390*o*z - 14*o - 2*z + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g + 19. Suppose -j = -14*j + 2509. Suppose 48 = -j*f + 185*f. Give s(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**2. Let j be 34\/10 + (-4)\/10. Let w(y) be the third derivative of 0*y**j + 0*y**4 + 1\/30*y**5 - y**2 + 0 + 0*y. What is q(w(i))?\nAnswer: 12*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 - 2026*q**2 - 16304*q - 32672.\nAnswer: 2*(q - 1021)*(q + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/553? (a) -0.2 (b) 0.3 (c) -24 (d) 1\/5 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 103 = -i, -2*i + 58 = x + x. Suppose 4*z + x = 7*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.19 and 1111744.\nAnswer: 1111743.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -507443 less than or equal to -507443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 49 - f**3 - 9*f + 4*f**2 - 31 + 8*f as t*f**3 + v + q*f**2 + n*f and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gylzgylz. Give prob of sequence yyll.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -dc1e1 (base 15) to base 6\nAnswer: -22552221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7278200 rounded to the nearest one hundred thousand?\nAnswer: -7300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/842, 1, -2.\nAnswer: -2, -1\/842, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 119191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is ab647 (base 13) in base 6?\nAnswer: 10355042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*g - 75*g - 78*g + 232*g.\nAnswer: 53*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100 a factor of 150075260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1212, 1162, 1112, 1062, 1012?\n\"Answer: -50*o + 1262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-1 + -1)*14\/56). Sort m, 10, -1, 4.\nAnswer: m, -1, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 2, -3, 0.1, 1\/246?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*y = 22, 0 = a - y + 4 - 0. Let r be (a\/(-3))\/(2\/348*-2). Suppose 3*i = 2*g - r, 28 = g + 4*i - i. What is the remainder when g is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2845\/3)\/((-55)\/(-198)). What is the greatest common factor of 6 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1394 + 38195*b**3 - 1391 + 2785.\nAnswer: 38195*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2*5*((-48)\/15)\/(-8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, r: 1, g: 2, y: 2}. Give prob of picking 1 y, 1 x, and 1 r.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -3 (b) -0.2 (c) -487 (d) 0 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (6 - ((-16 - -8) + 5)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.41356 - 3014571\nAnswer: -3014571.41356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184*t**2 + 96*t**2 + 256*t**2.\nAnswer: 536*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 6*v**3 + v**3 - 5*v**2 + 2*v**3 - 5*v**2. Let q(j) = 18*j**3 - 21*j**2. Let s(a) = 3*q(a) - 7*z(a). Find the third derivative of s(t) wrt t.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*y - 3*u + 32, 4*u + 53 = 5*y. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 9 = -5*u + 14, 0 = -4*u - o + 18. Suppose -12 - 18 = -u*z. Let m(b) = -38845*b - 2*b**2 + b**2 + 38852*b. Determine m(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(5) - sqrt(5))*-2 - (2 + (sqrt(180))**2).\nAnswer: -182 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/(-27))\/8*(-6)\/12.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eake when four letters picked without replacement from eekkeakk.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1700)*-1 - (sqrt(17) + (sqrt(17) - (sqrt(17) + 0 + -4))**2)).\nAnswer: -55*sqrt(17) - 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22307*k**6 + 2*k**5 + 2*k**3 - 33007*k**2 + k - 2?\nAnswer: 2676840*k**3 + 120*k**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2 - 18. Suppose -5*y = -2*c + 3, 5*c - 2*c - 8 = i*y. Suppose -3*b - 3 = -0, -29 = -c*h + 5*b. What is the greatest common divisor of 54 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*j = 13, -4 = 4*u + 3*j + 4. Let k = u + 3. Suppose 2*n - 46 = -3*h - 3*n, 5*h - 15 = k*n. Solve 6 = -2*g, 2*g + 4 + h = o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 22?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64728250?\nAnswer: 2, 5, 19, 13627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 5*x**3 - 205915*x**2 + 38734480*x + 198820900 = 0?\nAnswer: -5, 194, 40994","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h - h + h)*(-1 + 5 - 6) + h - 4*h + h + 3*h + 6*h + 6*h in the form f + t*h and give t.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.91 - 223.\nAnswer: -206.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -2427 + 110. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 4*y**4 - 5388*y**3 + 188628*y**2 + 204812*y - 388056 = 0?\nAnswer: -2, 1, 37, 1311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 15457 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -90.779 - 0.221. Let f = u + 91.5. Which is the closest to 0? (a) -3 (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 0*d + 2*d**2 + 0 - 1\/24*d**4 - 1\/6*d**3. What is the units digit of t(-17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (118450070\/(-5))\/2. Let n = z + -3145009. Round n to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -395, -3148, -10627, -25196, -49219, -85060, -135083?\n\"Answer: -394*q**3 + q**2 + 2*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 900 - 877. Solve 22*m = 25*m + 5*y - 29, -5*m + s = 2*y for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -109*i**3 - 3*i**2 + 26*i - 83. Let j be b(7). What is j rounded to the nearest one thousand?\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 12:09 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 204 - 199. Find the third derivative of -c**5 + 5*c**5 + 2*c**2 - 2 - 37*c**g wrt c.\nAnswer: -1980*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 14 = 2, 4*r + 2*n - 568 = 0. Suppose -y = 2*m, 5*y - 43*m = -44*m + 9. What is the least common multiple of y and r?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 165171763, 330343527, 495515289, 660687049, 825858807, 991030563?\n\"Answer: -g**2 + 165171767*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13527 and 835?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1385051570?\nAnswer: 2, 5, 7, 3673, 5387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -279698, -1117550, -2513970, -4468958?\nAnswer: -6982514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-20)*(-10)\/(-4). Let j = q + 6. Calculate the lowest common multiple of 66\/j + 5\/(-20) and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1487529 and 202303944?\nAnswer: 202303944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.23 - 308178.082153.\nAnswer: -308178.312153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 - -0.1. Let s = -65 + 111. Let r = s - 48. Sort -0.3, g, r in descending order.\nAnswer: g, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 9*z**3 - 8*z**2 + 8*z - 13. Let i(o) = -6*o**3 + 5*o**2 - 5*o + 9. Let k(g) = 8*i(g) + 5*p(g). What is the derivative of k(j) wrt j?\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from snuqnmnssnu. What is prob of picking 1 n and 1 u?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4003, -8005, -12009, -16015, -20023, -24033, -28045?\nAnswer: -32059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -5 - (3 - (2 + 0)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4 - -1 - -3 - 222*-3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(4\/2)\/((-108)\/18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 0.201.\nAnswer: -0.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 o when two letters picked without replacement from kkkuxxmok.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1652238 divided by -275373\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -9*m - 227. Give r(-26).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + -1)\/((-20)\/24). Suppose z*l = -5*l + 55. Suppose -5*x + f = -285, 5*x = -l*f - 71 + 326. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2 + 9 = -v, 0 = 5*c - 2*v + 1. Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -313, -486, -775, -1180, -1701, -2338, -3091?\n\"Answer: -58*l**2 + l - 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 8:29 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42168, -84184, -126064, -167820, -209464, -251008, -292464, -333844?\nAnswer: -375160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 231\/429*8\/(-756)*3\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2123*g + 4 = 2*q + 2117*g, 2*g + 23 = 5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 2*k + 1. Suppose -4*d + 6 = -50. Let x = -18 + d. What is j(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -48*v - 5. Let f(j) = -94*j - 9. Give -6*f(c) + 11*g(c).\nAnswer: 36*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 18, -0.08, -2\/3, -4?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 m, and 1 j when three letters picked without replacement from {b: 1, j: 2, k: 1, f: 5, m: 3}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -101, -155, -211, -269, -329, -391?\nAnswer: -455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -0*o + d + 40, 5*d = -3*o + 7. Suppose t + o = 15. What is x in -10*x - 3 + 0*x - 2*x - t - 3*x**2 = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 841 + -5*5\/(-25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 510*f - 533*f + 46. Solve -2\/9*h**3 + 14\/9*h - 4\/9*h**f - 8\/9 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3505658 by 218.\nAnswer: 16081","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2283778489.\nAnswer: 6211, 367699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 98*v**3\/3 - 574*v**2\/3 + 1040*v\/3 - 200.\nAnswer: 2*(v - 3)*(7*v - 10)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*d**4*w**3 + 1290512*d**3*w**3 + d**2*w**3 - 304107*d*w wrt d?\nAnswer: -72*d*w**3 + 7743072*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 3. Suppose -6 = -v - s*i, 0 = v + 2*v - 5*i - 18. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 5*f - 95 = 3*j, 4*j = -4*f + 444. Let h = j + -64. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16791*z - 16808*z = -72267. Calculate the highest common divisor of 78 and z.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.9? (a) 3240 (b) 23 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -117360 (base 8) to base 15.\nAnswer: -c0c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3867538 to the nearest 100000.\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3312, 4881, 6450, 8019, 9588?\nAnswer: 11157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 735 divided by 49383?\nAnswer: 245\/16461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -11*z**2 - 6*z + 3. Let v(g) = -56*g - 56*g + 4*g**2 - 71*g - 1 + 185*g + 0. Calculate -6*r(x) - 17*v(x).\nAnswer: -2*x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 - v + v + (-5 + 5 + 1)*(-v**2 + 3*v - 3*v) + 2*v**2 + 5*v**2 - 3*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((3*sqrt(105)*-5)\/sqrt(3))\/(sqrt(25)\/(-1*sqrt(10)\/sqrt(2))).\nAnswer: 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-380)\/(-16) - (-2)\/8. Suppose -s + 5*f - i = -4*s, -f - 68 = -5*s. Let n = 6 + s. Is 19 less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**4*o*o**2)\/(o**(2\/13)*o\/o**3*o) assuming o is positive.\nAnswer: o**(102\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2954, -0.1, -1\/5, 1 in increasing order.\nAnswer: -1\/5, -0.1, 1, 4, 2954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -112425511*m**2 + 1535*m - 22360?\nAnswer: -224851022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -1\/126*q**5 + 0*q - 2\/9*q**3 + 21 + 5*q**2 + 37\/252*q**4. Let f(j) be the second derivative of s(j). Factor f(k).\nAnswer: -2*(k - 7)*(5*k - 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 621.7813758 + -973.78137402. Let h = y - -352. Round h to 7 dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 + -18. Suppose l = -m - 2*o + 45, 5*m + o = 105. Suppose -5*b + m + 0 = 0. Solve b*u + 3*f = -27, 2*f + 26 = -2*u - 2*f for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7002 - -210067\/30. Let u(s) be the second derivative of 0 + 0*s**3 + 0*s**4 + 31*s + l*s**6 + 0*s**5 - 7\/2*s**2. What is the derivative of u(y) wrt y?\nAnswer: 28*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 0 + 44\/7*j**2 + 8\/7*j + 12*j**3 + 64\/7*j**4 + 16\/7*j**5 = 0.\nAnswer: -2, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*k + 6*w - 2*w, 0 = -2*k + 4*w + 14 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/24 + (-8)\/6. Let p be (t - -8)*(-1)\/(-3). Suppose p*a = 2*g - 4, 4*g - 13 - 25 = -2*a. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 392684 (base 10) to base 15.\nAnswer: 7b53e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15759010?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -41756*g + 8825. Is m(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 5*h - 21 = u, 0 = 2*h - 6. Let t = u - -11. Is t a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 363 - 188. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -64\/9927033?\nAnswer: -64\/9927033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 6. Let y be x(-2). Suppose 2*u = 4*o - 15 + 129, -y*u - 4*o = -168. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*i - 66, -2*i = 6 - 0. Suppose 5*b - 3*w = 62, 4*b = 5*w + 17 + 43. Calculate the greatest common factor of b and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3867950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/23 + 1000\/150*(-180)\/(-575). Factor 1\/11*k**v - 2\/11*k - 3\/11.\nAnswer: (k - 3)*(k + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 650 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7505 + -3481. What is the thousands digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -950015.26 to the nearest 1000.\nAnswer: -950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 - -47 - (1 - 20).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/99 and ((-20)\/2970*-22)\/(2\/(-1)).\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -153 + 153 - 7*p. Let q(c) = 8*c. Suppose 3*s = h - 25, -4*s - 4*h = -h + 16. Calculate s*w(i) - 6*q(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53757537 is divided by 404192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1161\/15 + (-10)\/25. What is the highest common divisor of p and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 10, n: 1, j: 3, a: 1, g: 3, q: 1}. What is prob of picking 1 n and 2 j?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7 + -4.7. Sort 3\/2, 3\/7, q in decreasing order.\nAnswer: 3\/2, 3\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5515679 is divided by 229819.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0255 and 18332.\nAnswer: 467.466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of 14*i**2 + 0 + 31\/6*i**3 + 0*i + 31\/24*i**4. Differentiate m(j) with respect to j.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -13\/10, 17 in decreasing order.\nAnswer: 17, -0.5, -13\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6 and 134?\nAnswer: 80.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 21 = -4*l - p, 2*p - 7 = -l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 1 = -25. Suppose -4*s = s + p - 40, q = 3*s - p. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 840 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 13*k**2 - 22*k - 6. Calculate z(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 14. Let j(a) be the first derivative of 0*a + 2 - 1\/12*a**3 + l*a**4 + 1\/20*a**5 + 0*a**2. Factor j(s).\nAnswer: s**2*(s - 1)*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-86 - -77) + (1 - (2 - 3))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 3\/233, -130\/3?\nAnswer: 3\/233","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 2 + 1. Let g = x + 3. Solve -2 = -3*p + g*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113064.\nAnswer: 2, 3, 7, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1302773 to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1307.6 + -240\nAnswer: 1067.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 - 68616*a + 343155.\nAnswer: -3*(a - 5)*(a + 22877)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343753 = -202*d - 346985 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 16 = 4, 0 = 3*l - c - 482. Let i = l + -108. Calculate the highest common factor of 18 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*k - 124*k + 664 = 0 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 36*p**2 + 20*p**2 + 2 + 19*p**2 + 2.\nAnswer: 3*p**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -11 (b) 6 (c) -3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13159 in 1, 40, -4?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/2242 and 41\/5495142.\nAnswer: 5495142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 245923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, l: 1, b: 3}. What is prob of sequence gblg?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of a**8\/840 + a**5\/60 + 2*a**3\/3 - 2*a**2. Let x(v) be the first derivative of t(v). Find the second derivative of x(f) wrt f.\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10159\/2 - -5080. Let y be ((-10)\/(-8))\/(2\/(-8)). Let l = y + 1. Which is the closest to w? (a) -2 (b) -4\/7 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1615 and 95?\nAnswer: 1615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7e (base 16) in base 3?\nAnswer: -11200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 40 = -5*z, 0*z - 19 = 2*u + 5*z for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*u = -75*u + 46*u + 995680. Is 49 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2342 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 10)*(-5*p**3 - 2*p**3 + 3*p**3) + (p**3 - p**3 + p**3)*(0 - 4 + 2).\nAnswer: 46*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0418 * 0.3.\nAnswer: 0.01254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert d (base 15) to base 11.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 85*i + 39 = -88*i, -4*a - 16 = -5*i. List the prime factors of (a + 229 - 0)*2.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.248 - -0.048. Let r = v + -0.2. Round r to one dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13)\/(-36) - 1\/4. Suppose 4*d + 3*d = 714. Let v = -103 + d. Which is the closest to -1? (a) -0.3 (b) q (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74 divided by 439.\nAnswer: 74\/439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -62111615 + -6?\nAnswer: -62111624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, a: 3, o: 3, x: 2, f: 3, e: 1}. What is prob of picking 1 x and 1 f?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -268 divided by -230142\nAnswer: 134\/115071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, -3\/7, -1828.\nAnswer: -1828, -3\/7, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 24 = 18. Let u = -17 - t. Sort u, 4, 2 in decreasing order.\nAnswer: 4, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -42\/5*o + 441\/5 + 1\/5*o**2 = 0.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus -115306.074?\nAnswer: -115305.674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -34. Let j = -11 - w. Let t(c) = c**3 - 5*c**2 - 3*c - 5. Let b(f) = -4*f**3 + 14*f**2 + 10*f + 15. Let v(r) = j*b(r) + 7*t(r). Give v(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 9:27 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11304\/32028*(-17)\/(-57)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115, -457, -1029, -1831, -2863?\nAnswer: -4125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199476?\nAnswer: 2, 3, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21549*r**4 + 5*r**3 + 1326653*r**2?\nAnswer: -517176*r + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 3*d = 9, 3*c + 3*d + 9 = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (40 - 40 + 11*r)*(-11 + 11 + 4*r**2) - 50*r**3 + 20*r**3 + 21*r**3 + 3*r**3 - r**3 - 2 - r**3 to d*r**2 + s + g*r**3 + i*r and give g.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**4*d)\/d)\/((d\/(d**(-3\/7)*d))\/d))\/(d**(-1))**(-2\/15)*(d**(-1))**(-17\/3)\/(d*d**(-1))**(-36\/7) assuming d is positive.\nAnswer: d**(1166\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -16. Let u = 6 + b. Let w(v) = -3*v + u*v + 2*v. Let c(g) = -5*g**2. Give w(c(j)).\nAnswer: -25*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34461 or -34628?\nAnswer: -34628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 11:29 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 58.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -36. Let n = -24 - u. Suppose -h - 9 = -3*b + 6*b, 4*h - 6 = 2*b. Sort 5, n, h in decreasing order.\nAnswer: 5, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86210 = -3150*o - 109090 for o.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-10)*-10*8. Find the third derivative of 2*y**2 - 7*y**2 + 68*y**3 - i*y**3 wrt y.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/57 - 79\/627. Let r(g) = -g**3 + 6*g**2 + 7*g + 1. Let o be r(7). Is z at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/424458 or -52?\nAnswer: -1\/424458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008922 rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 0.1 (c) -2\/67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41383595 divided by -3762145.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(-3)\/r))\/(r\/(r**5*r))*r**6\/r**(-2\/19))**(-7) assuming r is positive.\nAnswer: r**(-2009\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 21201001133 (base 4) to base 9\nAnswer: 4621802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 208 - 60 = 0. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 392, 391, 390?\n\"Answer: -r + 393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 60355 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18365 and 2395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 1305077771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w + 2. Suppose 12 = -3*v - 0. Let i be c(v). Calculate the highest common factor of i and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1743 is divided by 188?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.197 + 149.897. What is q rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -245541*l - 10067196. Calculate r(-41).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f + 2*v + 29, -176*v + 27 + 0 = -180*v - 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 103*p = 104*p + 12, 18 = -o - 5*p. Suppose 10 = -0*i + i. Suppose 0 = -4*y + i + 10. Put o, -5, y, 9 in ascending order.\nAnswer: -5, o, y, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/748 and 59\/1432.\nAnswer: 267784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 96 + 7*n + 6*n + 0*n - 108. What is the units digit of t(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76 or -78877?\nAnswer: -78877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -208*n + 208*n - 5*n**2. Let m(r) = -2*r. Give m(o(y)).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 7*w**2 + 4*w + 11. Let k be h(8). Let f = 40 + k. Is f a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389847137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*l - 18*l - 2*k - 53, -3*l + 65 = 4*k for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20504.09mm in micrometers?\nAnswer: 20504090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4770 divided by -3\nAnswer: 1590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 0 - 1) + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12428 divided by 3107?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 578535261?\nAnswer: 3, 23, 167, 50207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rd when two letters picked without replacement from rvvrrvrvrdrrd?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 15. Suppose 237 = -f*g + 7*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34\/5 - 141\/20. What is the closest to -2 in 2\/7, -0.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 6:41 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1496650 to the power of 1\/2, to the nearest integer?\nAnswer: 1223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(462)\/(sqrt(11)*-3))\/(sqrt(6) + (2*sqrt(66))\/sqrt(11)))**2.\nAnswer: 2*sqrt(7)\/9 + 88\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g**2 - 4*g - 3. What is y(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -740.7690511087 - 0.2309503813. Let q = y + 741. What is q rounded to seven decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1363 or 1365?\nAnswer: 1365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 1:37 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 2 (c) -63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -18*p**2. Let q be ((-3)\/(-2) - 0)*-2. Let j(u) = -20*u**2 + 16*u. Let w(h) = 7*h**2 - 6*h. Let l(f) = q*j(f) - 8*w(f). Give y(l(g)).\nAnswer: -288*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.28 or 0.05?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 99118 and 282.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -23. Let r(n) = -69*n**2 + 7*n + z - n - 110*n**2 - 1. Let a be r(6). Round a to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(-17*r - 4*r - 115*r + 2*r).\nAnswer: -134*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 67236 + -71?\nAnswer: 67155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 9*f**3 - 16*f**2 - 218*f - 14. Let m(y) = 8*y**3 - 14*y**2 - 219*y - 12. Determine 7*k(q) - 8*m(q).\nAnswer: -q**3 + 226*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/1727 and -137\/4710.\nAnswer: 51810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2936bb (base 14) to base 15\nAnswer: -1d3eca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2129 + -2?\nAnswer: 2127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 247*481\/193325 - 24\/150?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**5 - 2*u**4 + 5*u**3 + 153 - 6*u**4 + 212*u**2 - 34*u**3 - 354*u + 27 - 3*u**3 = 0. Calculate u.\nAnswer: -5, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 59775321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*x - 94*x - 100*x)*(0 + 0 - 1).\nAnswer: 155*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -151431 + 31231?\nAnswer: -120200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3 - 0) + (-13)\/(-1))*2. List the prime factors of (142\/(-4))\/(2 - d\/8).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(325)*-4 + 1 + -3 + 2).\nAnswer: -80*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/90801697 and 43\/2763.\nAnswer: 817215273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4185762437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -7587*i**5\/20 + 39*i**3 + 11*i**2\/2 - 5531*i. What is the second derivative of w(c) wrt c?\nAnswer: -45522*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6141977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + 0 + (15 - 0) + -18?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -4 - 0) + (3 - -7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 3289824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -525, -1125, -1933, -2961, -4221, -5725?\nAnswer: -7485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.69554nm to micrometers.\nAnswer: 0.07269554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 11201?\nAnswer: -11211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/4*-1534 + -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (46*a - 19 - 17*a - 103 - 34*a)*(4 + 1 - 3) to the form s + i*a and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20.65 - -18. Let b = s + -147.35. Let q = -150.000198 - b. Round q to five dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-6)\/v)\/(((v\/(((v\/((v*v*v**(-7\/3))\/v))\/v)\/v))\/v)\/v)*(v*v**(-1\/15))**(4\/5))**(-7\/8) assuming v is positive.\nAnswer: v**(861\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36927 + -4837407\/131. Let p = t - -7751\/1048. What is the common denominator of p and -75\/22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49688565 a multiple of 426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 + 24*a - 6. Calculate p(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1689 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 33*r**2. Let v(q) = 3*q + 11. Let h(i) = -i - 4. Let y(g) = 11*h(g) + 4*v(g). Give y(p(l)).\nAnswer: 33*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p**6\/10 - p**4\/4 - 2*p. What is the third derivative of o(z) wrt z?\nAnswer: 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 71400095.26 to the nearest 10000.\nAnswer: 71400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2949797 or -2949794?\nAnswer: -2949797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10310645 (base 7) in base 16?\nAnswer: -d6094","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/5)\/(1\/(-5)). Let d(t) = -3*t - 2. What is d(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2410\/8)\/(-14 - 1730\/(-120)) is divided by 80?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 3, -7963 in descending order.\nAnswer: 5, 3, -5, -7963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -6*w + 16. Let i be j(5). List the prime factors of (-56)\/i - (-1 + -34).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, n: 1, v: 1, s: 7, u: 4}. What is prob of picking 1 n and 2 s?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 984109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 0 - 2*b + b**2 + 3*b - 2. Let z be n(-3). Suppose -31 = 2*j - 3*j + 4*m, 0 = -z*j - 4*m + 64. Calculate the remainder when 75 is divided by j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1223689527?\nAnswer: 3, 281, 483863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttttt. Give prob of sequence ttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.9? (a) -38 (b) 4 (c) -0.09 (d) -3\/7 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 2:31 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bab when three letters picked without replacement from {g: 1, a: 4, b: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 23 * 0.0122\nAnswer: 0.2806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10572, -10105, -9326, -8235, -6832?\n\"Answer: 156*o**2 - o - 10727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 + 2*l + 8. Calculate the remainder when o(-5) is divided by 34.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12827?\nAnswer: 101, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -8*k**3 - 79*k**2 - 11*k - 3. Let o(w) = -w**3 - 12*w - 1. Give c(z) - o(z).\nAnswer: -7*z**3 - 79*z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12413131 (base 5) to base 9.\nAnswer: 206543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-4 + -2 - (6 + -3)) - -9?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 176, 199, 238, 293, 364?\n\"Answer: 8*g**2 - g + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ex when two letters picked without replacement from qmaamaaaqmaex.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1295097000 rounded to the nearest one million?\nAnswer: 1295000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2. Let c(j) = -11947*j. Calculate m(c(u)).\nAnswer: 142730809*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 3. Let h be (-3 + 4)*j\/(-2). Let k = -1\/3 + 1\/12. Is k bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 - (-26 + 2) - (1 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 193610 less than 4?\nAnswer: -193606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 9*w + 12 = 0. What is the least common multiple of w and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -k**8\/6720 - k**7\/504 - k**6\/240 - k**5\/24 + k**4\/6 - 2*k. Let r(m) be the third derivative of a(m). Does 10 divide r(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/10 + 247\/65. What are the prime factors of (-3 + o)\/((20\/3125)\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -7 + 1 + 19 - 3 - 9. Let v(r) = r + 1. Let x be 2\/(-6) - 2\/3. Give x*v(k) + 2*t(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssp when three letters picked without replacement from {p: 3, j: 2, u: 3, m: 1, s: 3, g: 1}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 223*b + 10513. Determine r(-142).\nAnswer: -989","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-202 + 7 + 8)*(-1 + 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 514934 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 (base 4) in base 8?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 6846331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-36))\/((-63)\/9)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 504\nAnswer: 50.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*g**3 + 836*g**2 + 3952*g + 4656.\nAnswer: 4*(g + 2)*(g + 3)*(3*g + 194)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 4, -2*z + 62*v - 61*v = -23866. What are the prime factors of z?\nAnswer: 5, 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 + 3 = -4*t. Let y = t - -8. Let f be -1*2\/y*1. Is f less than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 14*x**2 + 17*x + 32. Let t be q(-13). Put 0, 5, t in ascending order.\nAnswer: t, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1729*d**3 - 2 + 10*d**4 + 1728*d**3 + 2*d**2 + 2 to x*d + g*d**4 + h*d**2 + f + o*d**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - w. Let n(y) = 93*y**2 + 7*y + 5. Let f(t) = n(t) + 3*p(t). Let s be f(-1). What is the second derivative of s - 91 - 23*j - 5*j**3 wrt j?\nAnswer: -30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -34, -58, -108, -196, -334?\n\"Answer: -2*j**3 - j**2 - 7*j - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -z + 4, 1 = -2*z - 2*o + 3. Let m be -4 + 33\/6 + (-12)\/(-8). Solve 0 = k - z*k, -2*s + 6 = m*k for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 631 + -634. Let q = -0.3 + 0.1. What is the closest to -3 in k, 1, q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five sixths of a minute?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7407194 days in microseconds?\nAnswer: 63998156160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.08 + 0.18. Let f = -2.1 + d. Sort 0.4, -5, f in increasing order.\nAnswer: -5, f, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71.1 - 74.01. Let q = z + 2.31. Sort 3, 0, 5, q in decreasing order.\nAnswer: 5, 3, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*l, 4*b + 5*l + 0 - 113 = 0. Suppose m - 2*m = 4*v - b, 0 = -4*m + v + 40. Calculate the greatest common factor of 11 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 11*y**2 + 9*y - 11. Let r be ((-33)\/44)\/(-2 + 25\/12). What is the remainder when q(r) is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 786600 and 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 11591 * 0.3\nAnswer: 3477.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7121, -14249, -21377, -28505?\nAnswer: -35633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43\/14 + -10\/7. Let c = -5 - j. Which is smaller: c or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 h when two letters picked without replacement from ihiiiiiiiiiiihiiiii.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(1\/8)*u)**28\/(u**(-6\/19)*u\/(u*u**(-36))) assuming u is positive.\nAnswer: u**(905\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77\/6 + (444\/1368 - 75\/475).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-260)\/36)*27\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 7:15 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v - 1. Suppose -2*l - 34 = -4*s, -l = 7*s - 2*s - 39. Let n(p) = p**3 - 5*p**2 - 2*p + 3. Let x be n(5). Let t = x + s. Calculate y(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - i - 4*d = -5026, -4998 = -2*i + 3*d. What is the lowest common multiple of 21 and i?\nAnswer: 17535","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*n**6 - 343937*n**4 - 4*n**3 - 14061768*n**2 wrt n.\nAnswer: -480*n**3 - 8254488*n - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2004 + 2004.000004404. Round t to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -28*k**2 + 3551*k + 39053. Calculate a(137).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - f - 25 = 0. Find the second derivative of f*z - 3*z - z**2 + 3*z wrt z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 64*b - 2941. Determine y(46).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229*a - 223*a - 96 = -446*a for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cctp when four letters picked without replacement from {c: 2, t: 2, p: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 46*i**3 + 2*i**2 - 32*i + 30. What is z(1)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d**3 - 9455750*d + 9455750*d - 28*d**3.\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*a - 61 - 39 = 4*t - 136, -5*t - a - 40 = 45 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3c62910 + 5?\nAnswer: -3c62908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.561029 litres in millilitres?\nAnswer: 3561.029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i + 3. Let a(g) = -4*g - 7. Let r(d) = d**2 - 10*d + 9. Let v be r(10). Give v*t(p) + 4*a(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89933.\nAnswer: 139, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.6213 to 1 decimal place.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220) - (sqrt(220) + 1*sqrt(220)) - sqrt(220))\/sqrt(5))\/(sqrt(4) - (sqrt(64) + sqrt(64) + sqrt(64)*1) - sqrt(4)).\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**2*y**2 + 8*i**2*y - 2*i*y**2 + 3*i*y - 7560*y**2 - 1067*y wrt y.\nAnswer: -2*i**2 - 4*i - 15120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -14 in decreasing order.\nAnswer: 5, 4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 230 + -228. Is d bigger than 13\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.4 and -1229476 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 10*f. What is i(-8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -9. Let g = 0.36 - -0.04. What is the nearest to q in g, -5, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + -4*12\/8. Sort 5, z, 10.\nAnswer: z, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2704354 and 6319.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2666984 divided by -394.\nAnswer: 1333492\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101111111010000 (base 2) to base 4.\nAnswer: -11333100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35083 a multiple of 258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of 0*s**3 + 0 - 4*s**2 + 0*s**6 + 0*s + 0*s**7 + 0*s**4 - 1\/10*s**5 - 1\/84*s**8. What is the third derivative of a(z) wrt z?\nAnswer: -240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**4\/13 + 596*t**3\/13 + 29466*t**2\/13 + 215460*t\/13 = 0. Calculate t.\nAnswer: -35, -9, 0, 342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -306392000 to the nearest one million.\nAnswer: -306000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -51463 + 2?\nAnswer: -51461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3142?\nAnswer: 2, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 414, 437, 508, 651, 890, 1249, 1752?\nAnswer: 2423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/22)\/((-4026)\/671))\/3?\nAnswer: -1\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 9:13 AM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -u**5\/160 + u**4\/64 + 3*u**3\/8 + 29*u**2 - 1. Determine h, given that p(h) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 52*k**2 - 94*k - 270. Let q be c(50). Suppose 0 = -3*f - 2*t + 812, 0 = -2*t - 0*t + 2. Calculate the greatest common factor of q and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1300, -2707, -4308, -6175, -8380, -10995?\nAnswer: -14092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.22941 from -1.4033098.\nAnswer: -1.1738998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1480*a + 1476*a + 12 = 0, 2*f - 3 = -a for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21845?\nAnswer: 5, 17, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 10*w**2. Let o(m) = 21*m + 13*m - 46*m. Determine z(o(i)).\nAnswer: 1440*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.7 - -1.7. Let b be 56\/(-312) - (-16)\/(-104). Sort b, -3\/4, a.\nAnswer: -3\/4, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by -212\nAnswer: -17\/212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 8*y + 34. Calculate the remainder when 5375 is divided by b(13).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/2541 and -109\/1290.\nAnswer: 1092630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1813*f**2 - 4905*f**2 - 3185*f**2.\nAnswer: -6277*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*t**2 - 49*t**2 + 25*t**2.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -581 = -11*c - 570 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - q + 4*h + 8 = 0, 4*q - 14 = 2*h. Suppose 5*i = 6*r - r + 165, -3*i + 4*r + 96 = 0. What is the greatest common factor of q and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -255 - 2\/(-8)*-4. Let l = t + 381. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 464 - 542. Let y = 81 - -47. Let n = f + y. Is n a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4 = 0, -3*f + 255 + 431 = 2*c. Suppose k = 3*k - f. What are the prime factors of k?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 31608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -9. Suppose -l = -c*l. Suppose 0 = 3*d - l*d + 3. Which is smaller: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a + a - 2*a**4 + (78*a**2 - 40*a**2 - 8*a**2)*(-a**2 + 4*a**2 + 0*a**2).\nAnswer: 88*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t + 9. Suppose 4*j + 23 = 4*h - 5, 4*h - 2*j = 18. What is the least common multiple of s(0) and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -65 - -77. Let k(v) = 6*v**2 - 2. What is the lowest common multiple of x and k(2)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 divided by -7?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 9 - (4 - (6 - 8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1421 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -6. Suppose -14 = -u*a + 10. Suppose -5*l - 3*j = -a - 41, 0 = -2*l - 2*j + 22. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -3*g**3 + 798*g**2 - 1587*g + 792 = 0.\nAnswer: 1, 264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000260541 to six dps.\nAnswer: -0.000261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69*f**4 + f**2 - 117 - 683*f**3 + 71*f**4 + 10 + f wrt f?\nAnswer: 48*f - 4098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13923.9 - 13924. What is the second biggest value in 1\/3, w, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2224, 0, 4, 2, -15, 5 in descending order.\nAnswer: 2224, 5, 4, 2, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(7\/3)*y**(1\/7))**5*y**(-4\/5)*y*y*(y\/(y\/(y\/y**6)))\/y*y*y**(-4)*y\/(y\/y**1) assuming y is positive.\nAnswer: y**(586\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7.574419 years?\nAnswer: 0.07574419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 1. Let j(w) = -w**3 + 3*w**2 - 9*w. Give j(b) - 2*s(b).\nAnswer: -b**3 + b**2 - 9*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/1 + 0 - -6. Suppose -10*c = -p*c. Is 12 - 17 - (-72 - c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 4*j**2 + 10*j - 2. Let r be k(-7). Suppose 0 = i - 15 - r. Suppose -i = -5*u - 20. Calculate the least common multiple of u and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -33708, -33719, -33744, -33789, -33860, -33963?\n\"Answer: -g**3 - g**2 - g - 33705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 104812939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 806?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2883\/7 + -419. Suppose 3*b + 15 = r, -2*r + 23*b + 21 = 20*b. Calculate the common denominator of s and ((-2)\/((-16)\/r))\/((-156)\/(-2184)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -29*m - 499. What is i(-17)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 0.2 (c) 257\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k + 5*k + 424 = 88. Let c(i) = -i**3 + 8*i**2 + 2*i - 2. What is the remainder when c(6) is divided by k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3 + 9 = -3*v, -4*k - 3*v = -23. Suppose 1 = -2*h + k*x, 0 = -4*h - 0*x - 4*x + 12. What is the biggest value in -6, h, -1\/9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139374 is divided by 46193.\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 2*f + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -26*s + 33*s. Let i(o) be the third derivative of -o**6\/120 + o**5\/15 - o**4\/8 + o**3\/6 + 3*o**2 - 3*o. Calculate i(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -27ebdc8?\nAnswer: -27ebdca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 21*q - 415. What is n(20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.44787 (b) 2 (c) -0.2 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -d, 4*n + 2*d + 0*d = 28. Suppose -n*b + 2*m = m - 248, 184 = 4*b + 4*m. Is b a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b41 (base 13) to base 14.\nAnswer: 2426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -10 + (-21 - -6 - -6)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280*u = -152*u - 138*u + 375760. What are the prime factors of u?\nAnswer: 2, 7, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(170) + 5*-5*sqrt(170) - sqrt(170))\/(sqrt(360)*1)*-2.\nAnswer: -25*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 6*x - 3. Let a(l) = l + 21. Let k be a(-16). Let p be y(k). Solve -4*i + 4*m - 7 = i, 2*i = p*m - 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0300933591 rounded to five dps?\nAnswer: 0.03009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 29*v + 5. Let k(a) = 174*a + 29. Suppose 194 = -5*c + 3*w + 207, -41 = -5*c - 4*w. Determine c*k(g) - 29*d(g).\nAnswer: 29*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49)\/(-119)*(-789)\/1841.\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -589447*b**3*i**3 + b**2 + b*i**3 - 23*b - 1785*i**2 wrt b?\nAnswer: -3536682*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008017517 rounded to 7 dps?\nAnswer: -0.0000802","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -12*h**3 - 25*h. Let i(d) = -11*d**3 - 30*d. What is 3*i(q) - 4*v(q)?\nAnswer: 15*q**3 + 10*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 277 - -33. Solve -g*u = -315*u + 30 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 1.2. Let s = -3 + 3.5. What is the nearest to -0.1 in s, z, 1\/9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 3*l + 3. Suppose -9*q + 8*q = -25. Suppose -5*w + 10*w = -q. Let u(m) = -m**2 + 5*m + 5. Calculate w*g(p) + 3*u(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) 1\/3 (b) -0.1 (c) -5 (d) -1.835\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 2\/9*j**3 - 1\/15*j**5 + 0*j**2 - 14 + 0*j + 1\/12*j**4. Factor t(w).\nAnswer: -w**2*(w - 2)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - 5*x + 6, -15*x = u - 18*x + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 3:20 PM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 + 46. Let i(o) = 10*o - 3. What are the prime factors of i(k)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -3)\/(-2*(-2)\/28). Suppose 9*g = x*g - 10. Suppose 115 = g*h + 3*h. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 86202061?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b + 1. Let k(t) = 911*t + 1. Let o(r) = -4*d(r) + 2*k(r). Let v be o(-11). Round v to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 685.7069 millimeters to centimeters.\nAnswer: 68.57069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -15774.28.\nAnswer: -15777.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -3*p**5\/4 + 87*p**4\/4 - 126*p**3 - 1113*p**2 + 11208*p - 17280 = 0.\nAnswer: -8, 2, 9, 10, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -29 divided by -6\nAnswer: 29\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*s + 105 = 0. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -18\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xb when two letters picked without replacement from cixcxxxbcxxbc?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 15*i**2 - 11*i - 18. Let m(w) = 7*w**2 - 5*w - 9. Let x(l) = 13*m(l) - 6*u(l). Let a(v) = -v**3 + 2*v**2 - 2*v + 1. Let f be a(1). Determine x(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -t**4\/8 + 2*t**2. Let v(w) be the first derivative of -2 + 3\/2*w**2 + 0*w. Give v(c(s)).\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 40*p**2 + 129*p - 64. Give f(43).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (45\/(-18))\/(4\/8). Put -53, m, -3, 3 in ascending order.\nAnswer: -53, m, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 34*o - 181. What is the greatest common factor of o and 3282?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*y - 21 - 6 = 0. Let m = -7.1 + 1.1. Is y <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 j when two letters picked without replacement from rjimppmmiqp?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -10 + (-7 - -3) + 5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 - -49. Suppose -x + 3*a = -5*x + 9, -f*x + a = -35. What is the least common multiple of x and 46?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -132756 by 69.\nAnswer: -1924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 12) to base 4\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a739 - 19?\nAnswer: 2a720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u**3 - u**2 - 2*u - 6. Let d be z(3). Let w be d\/7 + -9 - 17\/(-7). Solve 3*g + 10 = -w*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 86? (a) 0.2 (b) -6 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 87 + -218. Let z = 328 + t. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (991*i**2 - 991*i**2 - 549*i**3)*(3 + 3 - 4) + (5*i + i - 4*i)*(4*i**2 - 2*i**2 - i**2) + 16*i**3 + 9*i + 2 + 0*i**3 - 11*i.\nAnswer: -1080*i**3 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 3*y**3\/2 - y. Let i(d) = 2*d**2. Calculate r(i(n)).\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 10396?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17466514?\nAnswer: 2, 13, 17, 43, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.019 != -0.0341?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1027 + 12*t - 1027 - 22*t + 8*t + 4*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 24\/1*(2 - -7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4998 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 8:13 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 393924 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 l when three letters picked without replacement from bllb.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 33, 56, 99, 168, 269, 408?\nAnswer: 591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 17*p**4\/3 + 307*p**3\/6 - 42*p - 7. Find the second derivative of h(j) wrt j.\nAnswer: 136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 8:03 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2552813 and 310751?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -37*i. Let m(f) be the second derivative of 7*f**6\/720 - 11*f**4\/4 + 40*f. Let t(v) be the third derivative of m(v). What is b(t(g))?\nAnswer: -259*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dm when two letters picked without replacement from mdmm?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.36 times 4\nAnswer: -1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8916 or 8919?\nAnswer: 8919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 724139 is divided by 34482?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 45*r + r**2 + 45*r + r**3 + 38*r - 134*r + 5 - 2*r**3. Let b be w(1). Is b bigger than 67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11403420 and 4287?\nAnswer: 11403420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + ((sqrt(19) - (sqrt(19) + 0)) + -4 - sqrt(19)) + sqrt(190)\/(sqrt(30)\/sqrt(3)).\nAnswer: -4 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b - 71. Let n be u(-18). Calculate the remainder when 278 is divided by n + 4 + (1 - -1273)\/14.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2265827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((2*sqrt(140))\/sqrt(7) - (1*sqrt(490))\/sqrt(2)).\nAnswer: -3*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8584734 by -3.\nAnswer: 2861578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -0*s + 28. Let b be (-2)\/s + (-184)\/(-1533). Let i = b + -13787\/438. What is the common denominator of -137\/6 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 22, 5, 0, 13?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + -2)*-6.\nAnswer: -24*sqrt(5) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31235 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 6\/11 (b) -0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5353 divided by -18627\nAnswer: -5353\/18627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 886*u + 905*u + 21040 = 739*u for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (2 - 7)) + (1 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n**2 + 5*n + 3. What is v(-4)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**4 + 292*i**3 + 13784*i**2 + 217308*i + 203814 = 0?\nAnswer: -67, -39, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 16. Find the common denominator of (-75)\/(-16)*(-2)\/3 and (-1)\/t + (-279)\/12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-2)\/(-8)*6\/6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6394 - -6391. What is the third biggest value in -0.6, b, -3\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -7, 175, -0.5, 3, -77, -3\/10, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p + 25*p - 54*p + 24*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-2664))\/((-3)\/(-12)). Let n = 1889\/333 - r. Find the common denominator of n and 4*(-3 - 15*(-1)\/(-8)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1945297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/693*-21)\/((-10)\/(2*1))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (87\/(-203))\/((-4)\/(-14))*2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*k**4*t**2 - 3*k**4*t - k**3*t**2 - 14*k**2*t**2 + 7*k*t**2 wrt k?\nAnswer: -144*k*t**2 - 72*k*t - 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**3 + 3*d**2 - 59*d + 113. Calculate a(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -124? (a) -4 (b) 4\/7 (c) -3\/7 (d) -0.11 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*h**2 + 43*h**2 + 0*h**2 + 45*h**2 + 2*h.\nAnswer: 26*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -117 - -23. Let i = 93.1 + r. Let p = i - -0.6. Round p to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 116*h**2 - 349*h**2 + h + 112*h**2 + 111*h**2 to the form i*h + d + z*h**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 4*f**2 - 2*f - 1. Let b be s(2). Let u(h) = -1 - 3 - 11*h**3 + 12*h**3 + 3*h + b - 6*h**2. Let j be u(5). Is -10 bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309040 is divided by 194.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 15*u - 10. Suppose 0 = 4*c - 3*l + 36, -4*c + 0*l + 2*l = 40. Calculate the remainder when b(c) is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3536 - 125*x - 3536)*((-2 + 2 - 2*x)*(-1 - 1 + 0) - 2*x + 3*x - 2*x) in the form a*x**2 + r*x + l and give a.\nAnswer: -375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/553 in 1\/4, -22, 0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**3\/3 - 5*v**2\/3 - 6*v - 3 = 0.\nAnswer: -1, -3\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 6 = -2*q, 4*q - 2*t - 6 = 6. Suppose q*d = 5*d - 948. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 divided by 108?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 307, 606, 903, 1198, 1491?\nAnswer: 1782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 570*t**3 + 1731*t**2 - 3*t - 4. Determine d(-3).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4811.9 - -4812. Which is the nearest to o? (a) -0.1 (b) 0.4 (c) -5 (d) 41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 266258 and 135116.\nAnswer: 9052772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**2))**(-1\/26)\/(k*(k*k**(-6)*k)\/k)**(2\/7) assuming k is positive.\nAnswer: k**(97\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -135, 0.5, -11.2, -54 in ascending order.\nAnswer: -135, -54, -11.2, -1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2835140 by -263.\nAnswer: -10780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/((-693)\/12)*(-6)\/4.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 10962 = -y, 5467 = -d + 2*d + 4*y. Is d a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0)**48*m\/(m*m**1)*(m**(-3)\/m)\/m)\/((m\/(m**(-2\/3)\/m))\/((m*m*m**(-5\/2))\/m))**(2\/19) assuming m is positive.\nAnswer: m**(-367\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*j + 91*j + 11*j - 29*j to c + y*j and give y.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 143 = -5*t, t + s - 15 = 13. Suppose -3*x = 5*q - 79, 4*x - q = -4*q + 87. What is the remainder when t is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/5)\/(o**(1\/9)\/o)*((o**2*o)\/o*o)\/o**4*(o**7\/(o\/(o*o**(-1))))**46 assuming o is positive.\nAnswer: o**(12433\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/15 + 354\/9. Suppose -c*y = -45*y - 680. Let p = -60 - y. Is p a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 1170*z + 5859. Calculate x(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 285083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133414 is divided by 16673?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 0*w = 3*w - 12, 4*m = -3*w + 12. What is the closest to -2 in -3\/4, m, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 l, and 1 x when four letters picked without replacement from {t: 2, x: 4, r: 3, y: 4, l: 1}?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 351 and 183989.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 23 - 3*t - 39.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 56 in -20, -17\/8, -21?\nAnswer: -17\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 2*p + 75. Let i = p + 26. Suppose -i*d + 9*d = -28. What is the remainder when 96 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((2\/20)\/((-6)\/(-12)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o = 13*o - 24. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -99368.4529 to the nearest one thousand.\nAnswer: -99000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -4741981\/3 greater than or equal to -1580659?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -x + 7*f - 6*f, 20 = x - 4*f. Let j = -34 - -72. Let g = j + -15. Calculate the remainder when g is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 6*r**2 - 5*r + 6. Let f be i(-7). Let k be (12\/f + 0)*2. Put -0.4, -4\/3, k in decreasing order.\nAnswer: -0.4, -4\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1280 and 12078.\nAnswer: 7729920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 61921.83 months?\nAnswer: 5160.1525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 18*u + 58. What is j(11)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*s + 11705 = -26171. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*k - 7 = 0, 0*k = -5*c - 3*k - 37. Let r = -4 - c. Is 2 <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nb when two letters picked without replacement from {b: 12, n: 7}.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 36 - 26 = 0. Let t be u*(-1)\/(-9) - 75\/(-27). Suppose t*x - 4*x - 5 = 0. Let l(m) = m**2 + 3*m + 4. Give l(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 z when four letters picked without replacement from {z: 2, q: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -37790 to the nearest one thousand.\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*u - 51*u - 16 = 0. Suppose -a + a = u*a. Suppose a = -5*f - 4*x, -3*f + f = -5*x. Solve -4*p = 2*z - 4, f = 5*p - 4*p + z for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 491 or 5391\/11?\nAnswer: 5391\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 73632 and 26904?\nAnswer: 1399008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 300268?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 11:11 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 17*s**3 - 9*s**2 - 5*s. Let i(z) = -9*z**3 + 4*z**2 + 3*z. Let x(m) = 3*a(m) + 5*i(m). Find the third derivative of x(f) wrt f.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 10) to base 14.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -3*k + 24, -3*k - 3*w - 6 = -6*w for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 447\/4 + -111. Let n = 643.74 + -641.74. Which is the smallest value? (a) s (b) 2\/3 (c) n (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 2*h**2 - h)*(5*h**3 - 5*h**3 - h**3) + h + 3*h**5 - h + 46*h**4 - 22*h**4 - 7 - 25*h**4 - 3*h**5.\nAnswer: -2*h**5 - h**4 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2881572?\nAnswer: 2, 3, 240131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) -55281 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 302814*v**2 + 302847*v**2 - 908487*v**2 + 302849*v**2.\nAnswer: 23*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 1. Let v(m) = 6*m**2 - 11. Determine 4*p(d) - v(d).\nAnswer: -2*d**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 12*o**2 + 9*o - 36. Let b(i) = 6*i**2 + 4*i - 16. Let k(s) = -9*b(s) + 4*z(s). Let q(c) = 19*c. What is q(k(a))?\nAnswer: -114*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 17*n + 5. Let m be p(17). Suppose -5*v = 3*h + 5, 1 - m = -4*h + 4*v. Solve 3*d = 2*b - 10, d + h*b - b = -4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - (1 - 0)) + 1. Let a be (-16)\/(-2) + 4277\/(-533). Is o >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + 3*m + 87 - 42, 4*m = 9*y - 9*y - 20 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 272?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63)\/(3*sqrt(3)) - sqrt(42)\/sqrt(2)*2)\/(5*sqrt(21)\/(sqrt(567)\/sqrt(9))))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001731059 rounded to 6 decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 224 = 196 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 469 = 19*d - 167. Calculate the greatest common divisor of 56 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180129 = -9*m - 26796. Let t = -8846 + m. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 8.5. Let h = -2 - -2.2. Let u = 0.2 - 0.3. What is the closest to 1 in u, i, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 5*t**2 + t - 5. Let k be g(5). Suppose k = -l + 16 + 1. Let u be (5\/4)\/((-1)\/(-4)). Solve -r = 2*d - u, -4*d + 2*d + l = -3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*k = 0, k + 15 = 3*j. Suppose 2*o - 23 = j*g + 463, o = -5*g + 243. Does 18 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/8 - 259\/(-56). Suppose -d*b + 7*b = 4. Solve 4*w - 18 = -5*r, -b*r - 2 = -6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 4\/7 + -2. Let l = 5 - 10. Let f = -1 - -1.5. What is the nearest to 1\/4 in s, f, l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 16, -5 in increasing order.\nAnswer: -5, -4, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 200\/7 + -635\/21. What is the fourth biggest value in -0.1, -2\/9, 5\/6, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2531.443 + -2533. Let v = a + 0.057. What is v rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 5 = x - 0, x - 5 = -5*k for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 573857575 + -0.13.\nAnswer: 573857574.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -72*n + 7. Let a be x(4). Let s = a - -307. Which is greater: s or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3632227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -3\/5, 1\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -209696 times -0.5\nAnswer: 104848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-40))\/((-7)\/35).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 558 = 2*k, 237 - 234 = -h. Are -282 and k non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - -20*34\/1020. Factor 2\/3*m**2 - 2*m - k.\nAnswer: 2*(m - 4)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - o + 1. Let i(y) = -26957*y - 80867. Let b be i(-3). Let s(u) = 7*u**2 + 5*u - 5. Suppose 0 = a + 3*a - 80. Give a*c(m) + b*s(m).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 398031475?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2747 (base 14) to base 11.\nAnswer: 5224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 25 = 5*w, -v + 5*v - 15 = -3*w. Let n be (-2)\/3 - (-20)\/(-6). Let l be ((-6)\/n)\/(2\/(-4)). Which is the second biggest value? (a) 2 (b) v (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y = -23*y - 3526. Is 12\/(-18) - y\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2241815*b*f + 2*b + 7964465*f - 20 wrt b.\nAnswer: -2241815*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 7, 13, 16, 5 in descending order.\nAnswer: 16, 13, 7, 6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 595.\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5 = 31. Let v = -5 - u. Solve -v*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**9)\/((d\/d**19*d)\/d*d))\/(d**(1\/7))**(-4\/5) assuming d is positive.\nAnswer: d**(949\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + (-7 - -17) + -50.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**6\/5 - 2*h**3\/3 - 61*h**2\/2 + 1017*h. What is the second derivative of w(g) wrt g?\nAnswer: 72*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*j*k*v - 233*j*v - k with respect to k.\nAnswer: 10*j*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 i when three letters picked without replacement from {a: 1, i: 6, j: 3, e: 2}.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/9 - (-1221)\/99)\/2. Let r(g) be the first derivative of -1\/21*g**j + 0*g**5 + 0*g + 0*g**2 - 21 + 0*g**3 + 1\/14*g**4. Let r(w) = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y - 3*a + 2, -14*a = -10*a - 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a**3 + 11*a**2 - 59*a + 21. What is the thousands digit of p(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7366077 to the power of 1\/2, to the nearest integer?\nAnswer: 2714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 29*2\/28 - (-474)\/(-316). Sort y, 0.03, -0.3, 0.039 in ascending order.\nAnswer: -0.3, 0.03, 0.039, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 9*s**2 + 11*s - 3. Let r(m) = 4*m**2 + 5*m - 2. Let f(g) = 5*r(g) - 2*z(g). Let o be f(-3). Sort o, -3, -8, 4 in decreasing order.\nAnswer: o, 4, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**6\/2160 - 7*g**5\/60 - 49*g**4\/4 - 43*g**3\/6 - 3*g**2 + 5. Let k(q) be the first derivative of s(q). Factor k(f).\nAnswer: -(f + 42)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**4 - 1525*p**3 - 65695*p**2 + 517165*p - 918660 = 0 for p.\nAnswer: -251, -61, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i - 6. Let q be m(-5). Let j(l) = l**2 + 16*l - 2. Let y be j(-16). Sort -5, y, q in descending order.\nAnswer: q, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.00284809 and 10?\nAnswer: -0.0284809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**5\/7 - 4336*r**4\/7 + 51160*r**3\/7 + 319952*r**2\/7 - 2817980*r\/7 - 12971200\/7 = 0 for r.\nAnswer: -5, 11, 1072","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + a + 8 = 0. Solve -19 = a*x + 3*c, -x - c = c + 6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 6*t - 117. Suppose 3*k + 0*k - t = 0. Let q(m) = 8*m**2 + 20*m + 17. Let j be q(-1). Solve -v = -2*c + 3*v + 22, -j*c = 4*v - k for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 1)*(1608*y - 108*y - 544*y) + 2*y - 3 + 3 + (0 + 0 - 1)*(2 - 2 + y).\nAnswer: -5735*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -5. Let t = p - 12. Let i(l) = 4 - 1 - l**t - 3 + l. Determine i(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 194 - 170. Calculate the remainder when m is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.8319 take away 368?\nAnswer: -348.1681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x**2 + 3*x + 23. Determine r(-4).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 10) + -1 - -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a + 1 = 118*h - 115*h, 4*h + 72 = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/132 and -83\/18.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(76)*-1 - sqrt(76)) + sqrt(76))\/(sqrt(48)\/(sqrt(12) - (sqrt(12) + sqrt(48) + sqrt(12)))))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -66.3 - -65. Let h = -54.3 - l. Let r = 53.21 + h. Round r to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2211112 - -212002?\nAnswer: -1222110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-1756)\/(-6))\/((-48)\/(-216))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -5 (b) 0 (c) -0.2 (d) 1 (e) -0.055\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.09514 and -17472.\nAnswer: -17471.90486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61265522?\nAnswer: 2, 149, 205589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-24)*-3)\/((-66)\/(-48))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7824643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = z. Suppose -3*r = -0 - z. Solve -3*u + 5 = -r for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/10 - (-2)\/(-110). Let w = -335 + 338. Let x = -175\/96 + 5\/32. What is the third biggest value in w, x, i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 17 - 6 = 0. What is the remainder when 29 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -35*b + 36*b - 16, -7*x = -28 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -7952841*z**3 - 4711. Let v(c) = 3377*c**3 + 2. Determine 6*d(t) + 14133*v(t).\nAnswer: 10095*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -133\/42111?\nAnswer: -133\/42111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*k**4 - 211340*k**3 - 79420420*k**2 - 7232623200*k + 2072952000 = 0. What is k?\nAnswer: -180, 2\/7, 6398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**5 + 169628*i**3 - 3*i**2 + 106787*i wrt i?\nAnswer: -120*i**2 + 1017768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -5, 3, 0 in descending order.\nAnswer: 5, 4, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.2*1779.\nAnswer: 5692.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - -2*6\/4) + -4. Solve -5*n - b + 5 = 2*t, -2*n - 5 = 3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3192 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/10*(-1)\/12.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 6 + 2. Let d be (-1 - 0)*(0 - k). Let a(h) = h + 2. Let i be a(1). Sort 1, d, i in descending order.\nAnswer: i, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.3160552 at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 - 2664.43?\nAnswer: -2716.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6966911 at most as big as 1\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 3*s - 4*z, -4*z + 44 = -4*s - z. Let r(h) = 3*h**2 + 9*h + 12. Let t(y) = -y**2. Let o(i) = r(i) + 2*t(i). What is o(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 10:19 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.4 + -30.\nAnswer: -19.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 55\/22*24\/15*-4.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o - 5. Let z(h) = 12*h - 16. Let w(s) = 16*y(s) - 5*z(s). Let v(f) be the second derivative of 0 + 4*f + 1\/6*f**3 + 0*f**2. What is w(v(b))?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 462 and 2750?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {d: 3, c: 8}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10300.2 + -10300. Put d, -0.35, 5 in increasing order.\nAnswer: -0.35, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*z = -5*z + 4*z - 255 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 976200.6kg?\nAnswer: 976200600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a centimeter in micrometers?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 2, l: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 28?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**3 + 40*q**2 + 42*q + 26. Let c be m(21). Let u(x) = 11*x - 2. Let s be u(2). Suppose -c*h + s = -21*h. Solve k + h = 0, -3*v - 2*k = k for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10534*g + 10534*g - 8*g**3.\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, h: 2, r: 4, n: 1}. What is prob of sequence nhll?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 3 - 1)*(-d - 2*d + 4*d) + 5*d + d + 3*d)*(-297 + 297 + 77*d) as l + r*d + f*d**2 and give f.\nAnswer: 616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 11*o + 11*o - 3*o**2 + 36 - 4*o + 15*o = 0?\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 7*f**2 + 3. Let g be z(7). Suppose -h - g*h = -364. What is the highest common factor of h and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*14991.66\nAnswer: 2998.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -59, 2\/3, 24.048, -5?\nAnswer: 24.048","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-4) - 2\/8. Suppose 100 = 209*r - 199*r. Let x(d) = -3*d - 3*d - 4*d + r*d - 2*d. Calculate x(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t - 11248 - 7400 = 0. Is 74 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 5*s - 5, -2*j - 4*s = 3*j - 21. Suppose j*g = 291 + 304. Let u be (-34)\/g - (-3)\/35. What is the nearest to 0.2 in 1, u, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6\/71 - 350\/781. Let i be -10 + 2 + (-35 - -42). Is n not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/1 - (-154 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 167390 and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2831, 5654, 8477, 11300, 14123, 16946?\n\"Answer: 2823*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -17\/4*b**4 + 0*b**3 + 7 + 0*b**2 + 20*b. What is the first derivative of a(o) wrt o?\nAnswer: -51*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -w - 6. Suppose 18 = 2*s - 4*p, 7*s + 3*p - 6 = 2*s. Put w, -3, s in increasing order.\nAnswer: w, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - c**2 - 1. Let g be l(-2). Is (g - 2)*(1 - -264) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (-14 + 49 - 6) + 2\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -9. Let x(a) = a**2 - 7*a - 3. Is x(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 2*f**2 + 5*f. Let u(p) = 8*p + 37. What is the remainder when t(-4) is divided by u(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**5\/7 + 180*q**4\/7 - 2596*q**3\/7 + 13068*q**2\/7 - 10648*q\/7 = 0. Calculate q.\nAnswer: 0, 1, 11, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 522 + 461. Suppose 26*w - p = 499. Calculate the remainder when w is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t + 7 = -29 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 45 = 1. Calculate the greatest common factor of 55 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5918?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 91950 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 759\/6 - (-2)\/(-4). Let b = a - -58. Suppose -j = 7*c - 3*c - 56, -5*j + 4*c = -b. Is 20 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 149410995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(133) - -2*sqrt(133)) + sqrt(133)))\/((sqrt(84)\/sqrt(3))\/sqrt(4)).\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2371*h**5 - 3739*h**2 - 1 wrt h?\nAnswer: -142260*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -666270 divided by 9.\nAnswer: -74030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -260 - -220. Let f be (8482 + -2)*20\/l. What is f rounded to the nearest one hundred?\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -368*s**2 + 1861*s**2 + 3209*s**2 + 858*s**2.\nAnswer: 5560*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 h when three letters picked without replacement from bpssphhbbpspbhqppqq?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 4:24 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -2809299 and -4533.\nAnswer: -2813832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7090 is divided by 884?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -x - 0*j, -2*j = 4*x. Suppose x*k + k + 15 = 0. List the prime factors of ((-2 - k) + 0)*1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1496110328 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-395)\/15 - -3)*(-59)\/((-20650)\/300).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2))\/(12825\/6075*(-4)\/(16\/(-3)))?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42327 - 42362. What is the second biggest value in -1\/23, 1, m?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126882 and 1409058.\nAnswer: 6678","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -60 + 116. Let w = c - 62.7. What is w rounded to 0 dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5*x - 2 - 1 + 7*x**2 - 8*x**2 + 2*x. Suppose 2*w - 11 = -3*h, -4*w - 19 + 1 = -2*h. Let a be t(w). Which is smaller: -4\/7 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -5*b**2 - 5*b + 4. Let q(l) = 6*l**2 + 6*l - 4. Let a(c) = -5*p(c) - 4*q(c). Suppose 4*g + 6 = -6. Let t be a(g). Sort 3, 5, t in ascending order.\nAnswer: t, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of y**6\/120 - y**5\/15 + y**4\/8 - 5*y**3\/6 - y**2. Let j be f(4). Let c = j + 5. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 21*x + 6. Let q(i) = -20*i - 11. Let t(b) = 7*b + 4. Let p(v) = 3*q(v) + 8*t(v). Determine -2*a(j) - 11*p(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -85868*o**3 + 1722*o**2 - 580352020*o wrt o.\nAnswer: -515208*o + 3444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 + 3*y**2 + 7*y**2)*(-4*y + y + 4*y).\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -267818 take away -0.08358?\nAnswer: -267817.91642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -86. Suppose 5*v - 467 = 3*a, a = 4*v + 4*a - 379. Let p = v + n. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 97*a**3 - 2*a**2 - 4. Let p(b) = -874*b**3 + 19*b**2 + 38. What is -95*k(j) - 10*p(j)?\nAnswer: -475*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -267, -268, -263, -246, -211?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -102.28\nAnswer: -102.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 528 is divided by 133.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a**3 - 71738*a - 4*a**2 + 71738*a - 198*a**2 to the form r*a**2 + g*a + o*a**3 + k and give r.\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10197 and 7210.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 6*t - 5*k - 117 = 0, 4*k - 12 = 0. Let a = t - 41. What is the remainder when (32\/a)\/(((-12)\/(-9))\/4) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 8\/197 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/60 and -1\/3445.\nAnswer: 41340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/4)\/((26\/56)\/13). Suppose -485 + 569 = g*h. What is the least common multiple of h and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5*(3 + ((sqrt(612) - ((sqrt(612) - (sqrt(612) + 2*sqrt(612))) + sqrt(612))) + -1 - 5*(sqrt(612) + 2))))**2*3.\nAnswer: 21060*sqrt(17) + 417663","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*o + 29*o + 24 = 0 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 32\/56 - (-31)\/7. Suppose 0*b = b + 2*w - 4, 0 = -o*w - 15. What is the highest common factor of 80 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 341230?\nAnswer: 341225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -5*u**3 + 2. Let m(i) = -10*i**2 + 13866070 - 13866070. Give m(c(p)).\nAnswer: -2250*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17795832?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0 (b) -117.2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4624, 4637, 4654, 4675, 4700, 4729, 4762?\n\"Answer: 2*y**2 + 7*y + 4615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + -4. Let x be (15*1)\/(c\/(-10)). Let s be x + (-2)\/(-5 - -3). What is the greatest common divisor of s and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100112202 (base 3) in base 15?\nAnswer: -20de","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -8355 + 15426. List the prime factors of x.\nAnswer: 3, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2995863258 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 177*c**4 + 7*c**5 - 2*c**5 - 172*c**4.\nAnswer: 5*c**4*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3 = -2. Let k(f) = 6*f**3 - f**2 - f + 1. Let p be k(1). Suppose -4*j = y + d - 36, 15 = p*j. Solve -3*r - 3*m = -15, -4*r - 4*m + y = -r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9192547\/43 or 213780?\nAnswer: 213780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**4\/13 - 742*i**3\/13 + 738*i**2\/13 + 742*i\/13 - 740\/13 = 0.\nAnswer: -1, 1, 370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5*j - 133 + 50, 47 = -3*j - y. Let z be 14\/4 - (4 + 40\/j). What is the units digit of ((-98)\/(-1 - 0))\/z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o - 150 = -528. Let l be (-3)\/o*2*-18. Solve -2*p - l = -2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of 0 - 28*n + 0*n**3 + 1\/6*n**4 + 0*n**2. Let b(j) be the first derivative of -5*j**3\/3 - j**2 + 22. Determine b(k(i)).\nAnswer: -20*i**4 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14037474 and 264858?\nAnswer: 14037474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 3*p - 7 = 0, a = -a + 2*p + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -8\/3*t**3 + 0 + 19\/20*t**5 - 1\/2*t**2 + 0*t**4 + 33*t + 2\/15*t**6. Find the second derivative of h(n) wrt n.\nAnswer: 48*n**2 + 114*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66267557.\nAnswer: 66267557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from ghhlguglll?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5*z**2 - 8*z - 4. Let m(a) = 9*a**2 - 15*a - 7. Calculate 7*b(p) - 4*m(p).\nAnswer: -p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**5 + 10325*g**4 + 476585*g**3 + 4989555*g**2 - 11450160*g + 5973696 = 0.\nAnswer: -24, 1, 10371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 = 8*d - 39. Let k(f) be the third derivative of -f**6\/120 - 3*f**5\/20 + 3*f**4\/4 + 9*f**3\/2 - 6*f**2 - 2*f. Is k(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -1\/214, -2\/3, 38 in descending order.\nAnswer: 38, 3\/5, -1\/214, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1877*v + 1881*v = 12. Let g(d) = 5*d**3 - 4*d. Let c(k) = -4*k**3 + 3*k. What is v*g(h) + 4*c(h)?\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 25*b + 9. Let t be x(8). Are -303 and t equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/7)\/((30\/210)\/1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -21618, -21612, -21608, -21606, -21606?\n\"Answer: -j**2 + 9*j - 21626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2 = 4. Let i(x) be the second derivative of 0*x**4 + 6*x + 1\/63*x**7 + 0*x**3 - 2\/45*x**6 + 1\/30*x**5 + 0*x**r + 0. Find n, given that i(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -391092.5 and -0.3.\nAnswer: -391092.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of n**5\/30 + n**4\/4 - 7*n**2. What is the second derivative of b(h) wrt h?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v**3 - 17*v**2 - 32*v + 5. Let u(d) = -6*d**3 - 18*d**2 - 33*d + 6. Let c(i) = 7*g(i) - 6*u(i). Let o be c(13). Which is greater: -2\/21 or o?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 342734 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 6 + 2 - 3 + u. Calculate the remainder when 19 is divided by z(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 506318257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/1 + 2 + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 7 - 19. Suppose -108 = -12*g + 156. Suppose 0 = -g*r + r. Put 18, r, n, 5 in descending order.\nAnswer: 18, 5, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 10*l - 568 = 0. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11158319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 4*u**5 + 20*u**4 + 20*u**3 - 20*u**2 - 24*u = 0.\nAnswer: -3, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 243 divided by -66.\nAnswer: -81\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -22*o + 2. Is 17 a factor of l(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/3 + 11390580*y + 239202278\/3.\nAnswer: -2*(y - 17085877)*(y + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 8. Suppose 1 = -m*x - 3, 3*x - 4 = -2*a. Solve -2*i + a*b = 25, 4*b + b - 25 = -3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 10) + -16 + 11 - 9.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/5)*y\/(y*((y*y\/y**(4\/9))\/y)\/y*y))\/(y**(-5)\/y**(3\/2))*y**(-5)\/((y\/(y**(-1\/3)\/y)*y)\/y*y)*y**(-1\/4)*y**3*y assuming y is positive.\nAnswer: y**(209\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 626.633km in millimeters?\nAnswer: 626633000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10883885?\nAnswer: 5, 97, 22441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-238)\/(-12) + 1\/6. Let y(q) = -9*q**2 - 8*q**2 + r*q**2. Let d(s) = 5*s. Let g(j) = 20*j. Let c(t) = -25*d(t) + 6*g(t). Give c(y(n)).\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -48, -91, 2, 3, 1 in decreasing order.\nAnswer: 3, 2, 1, -22, -48, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1 - 11 + 10 - 4012*n.\nAnswer: -4012*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4797 and 5161?\nAnswer: 1904409","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16709 and 954149.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 38436.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.28 - 6. Let q = 0.08 - k. Sort -5, q, 2\/3 in descending order.\nAnswer: 2\/3, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2210 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1129, 3, 35, 186.\nAnswer: 3, 35, 186, 1129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*g - 720278 = -723323 for g.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/2 + (-5)\/(-2)*(-16)\/(-20).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + 208 = 8*b for b.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -293 and -7.14223.\nAnswer: 2092.67339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 + 45 + 39 - 57*a + 43 - 121.\nAnswer: 2*a**2 - 57*a + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 145 = 22. Let c = 163 + q. Suppose 12 = 7*z - 2*z - 4*x, 0 = z + 5*x + 15. Put z, -1, c in descending order.\nAnswer: z, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 408016 and 28798.\nAnswer: 839288912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/12 + 4\/6. Suppose l*d + 5*d + 7 = 4*k, -5*k - d = -45. Let o = 239 - 229. What is the smallest common multiple of k and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-54)\/(-24) - 8\/32)\/(684\/(-14)). Which is greater: a or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -182, -207, -256, -335, -450, -607, -812?\nAnswer: -1071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a kilogram in grams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3472 - -3965. Calculate the remainder when s is divided by 73.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 13*v + 2. Let j(i) = 209*i + 33. Let y(x) = -33*h(x) + 2*j(x). Let g(l) = 922 - 2*l - 922. Determine g(y(n)).\nAnswer: 22*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 4*r - 142 + 30, 278*r - 283*r + 131 = 2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1226 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/5 - 102*f**2\/5 - 548*f\/5 - 672\/5.\nAnswer: 2*(f - 56)*(f + 2)*(f + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, t: 1, b: 2, e: 4}. What is prob of sequence eut?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 183288?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**3 + 11*s**2 + 2*s + 7. What is k(-5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.339*-0.0283.\nAnswer: -0.0944937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-4)*6\/(-9). Suppose 5 - 1 = 4*v. Suppose -3*s + 2*a = -s - 10, -4*a = 8. Sort s, y, v.\nAnswer: y, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57353 and 2407?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 964.2678 hours to minutes.\nAnswer: 57856.068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -1. Let m be 308\/o - 2\/8. Solve p + 2 = -2*s + 2*p, 5*p - m = s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 591.6 and 152.\nAnswer: 89923.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away -13141?\nAnswer: 13140.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34024.\nAnswer: 2, 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k**2 - 3. Let v be j(3). Suppose -a - 3*a = 52. Let b = v + a. Calculate the smallest common multiple of 2 and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a minute in milliseconds?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 51338422 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 2 + sqrt(304) + -1)*-2 + -4*(sqrt(304) + 5) + 0 + sqrt(304) + 4)**2.\nAnswer: 1120*sqrt(19) + 8384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 8*s**2 - 165*s - 2573. What is i(31)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (36\/30)\/(12\/160). Suppose v - 5 - 5 = 0. Suppose v*w - 11*w = -25. Solve -i - 3*i = -4*z + r, 5*z - w = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/52 and -99\/38.\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 3*v**2. Determine g(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (-8 - (-9 - -13)) + 15 + 0\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*z - 31*z + 29*z = 56 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2204 (base 5) in base 3?\nAnswer: 102021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 223929*a + 7613592. Calculate g(-34).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 a when four letters picked without replacement from daddddddadd.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 228061812 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: Rearrange -6 + 21*l**2 + l**3 + 2*l**3 + 0 - 20*l**2 to the form o*l + j + u*l**3 + g*l**2 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p + 3. Let i(h) be the second derivative of 7*h**4\/6 - 799*h. What is s(i(k))?\nAnswer: 42*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 15*n - 90. Let l(i) = 60*i - 373. Give 2*l(j) - 9*t(j).\nAnswer: -15*j + 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12688*g**2 - 71*g + 1 - 182*g + 253*g.\nAnswer: 12688*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5*b + 21, -6*b + 40 = -2*b - 5*x. Suppose 0 = -0*g + b*g - 1295. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*1 - (1 - 6). Let p = 0 + 4. Let w be (p\/(-2))\/(z\/(-6)). Solve w*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -20. What is the units digit of 7 - a\/((-12)\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, q: 2}. Give prob of picking 2 q and 1 a.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - 15. Suppose 4*k = q + 3. Suppose -2*u = -k - 21. Is 10 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = -225 + 71. What is the derivative of -10*a**2 + 30 + 53 - 4 - h*a**2 wrt a?\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323983030 to the power of 1\/2, to the nearest integer?\nAnswer: 18000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2409*s**3 - s**2 - 3*s - 2065*s**3 + 4*s as a*s**2 + w*s + k + b*s**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34? (a) 1 (b) 89 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2 - 74*s + 518. Calculate o(8).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 342 a factor of 152074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6605 by 2384.\nAnswer: 6605\/2384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1078477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3\/4 + 115263*s**2\/4 - 28815*s.\nAnswer: -3*s*(s - 38420)*(s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(24)\/((sqrt(72) - (sqrt(72) - sqrt(72)*3 - sqrt(72)))\/sqrt(9)) - ((sqrt(27)\/(sqrt(9)*-1) - sqrt(3)) + -1*sqrt(6)\/sqrt(2) + 0))*-6)**2.\nAnswer: 6075\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 > -1531?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -358, -962, -1888, -3070, -4442, -5938?\nAnswer: -7492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 0 + -7 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 180 = -0*i. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2\/4 + 124640940*z + 3107072784816720.\nAnswer: 5*(z + 49856376)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65150679 + 65150679 - 387*d**2 + 17*d to the form y + x*d**2 + w*d and give x.\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -11 + -17 + 27 - 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3 + w**2 - 3*w + 4 + 0*w**2. What are the prime factors of d(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5353760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 3*f + 7. Let v be a(0). Solve 2*i = v*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 421610*q*z**3 - 10*q*z**2 + 333*q*z + 1008*q + 623*z**3 - 15*z**2 wrt z.\nAnswer: 2529660*q + 3738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - x**3 + 0*x**2)*(1612 + 1733 - 581)*(-3 + 2*x + 3).\nAnswer: -5528*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3817843875 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -6673*l**3 + 4655*l**2 - 8*l. Let p(z) = 2224*z**3 - 1552*z**2 + 3*z. Let f(y) = 3*m(y) + 8*p(y). What is the third derivative of f(q) wrt q?\nAnswer: -13362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.2 and -68.247.\nAnswer: -81.8964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 7:00 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 571 - 89 = 0. Let t be (-14)\/(-3)*d\/77. Solve 4*p - 2 - t = -3*s, p = -3*s + 10 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -77, -6, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 i, and 1 j when three letters picked without replacement from vijoijdbijbjiv.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*f + 56 - 104 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*j + 386 = 12*j + 131 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/(-6) - 2)*0. Let l be 6\/(-15) - (b + -1). Let u = 1 - 1.5. Put 2, l, u in ascending order.\nAnswer: u, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2791729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380533715.\nAnswer: 5, 37, 109, 113, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85 - -113. Is (-28725)\/(-35) + 8\/m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3025*b**5\/7 - 15345*b**4\/7 - 25304*b**3\/7 - 13880*b**2\/7 - 912*b\/7 - 16\/7 = 0. What is b?\nAnswer: -2, -1, -2\/55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - -78)\/(5\/10). Suppose 6*a = -0*a + x. Calculate the remainder when a is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 16 = 3*t + y, -5*t = -3*y + 5. Suppose -5*h = -3*m + 54899990, t*m + h - 40414019 = -3814017. Round m to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14\/5, -2, 0.7, 0.1 in descending order.\nAnswer: 14\/5, 0.7, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 4*x - 2. Let b be q(-5). Let m be -1*(5 + (-6)\/b). Let u be m\/(-15)*5\/4. Is 0 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 - (-11)\/(22\/(-12)). Let r = -2 - u. Let b be (4 + r)*-28*(-9)\/12. Calculate the highest common factor of b and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02011198506 to 6 decimal places.\nAnswer: -0.020112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 170306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*t - i - 26 - 2 = 3*t + 22*t, 0 = 2*t - 3*i + 18 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04668661 + -14.\nAnswer: -13.95331339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0*h**17*h)\/(((h\/(h*h**(-2\/21)*h)*h)\/h)\/(h**(-4\/5)\/h)) assuming h is positive.\nAnswer: h**(1796\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, 0.02, 5, -0.04588, 0.05, 0.1?\nAnswer: -0.04588","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/48 - (26\/24 + 36).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**7\/w)\/((w\/w**(2\/7))\/w)*(w\/(w*w\/(w*w**4*w*w)))\/((w\/(w*w*w**2))\/w) assuming w is positive.\nAnswer: w**(114\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185683*z**2 - 185682*z**2 + 3541*z**3 - 857*z**3.\nAnswer: 2684*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 948 = -l - 2*l, 2*l + 1552 = 5*x. Let n = x + -571. Let g = n - -420. Does 23 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 10*g**2 + 6*g - 2. Let p be v(7). Let w be (p\/40)\/((-1)\/(-4)). Let c = w - 11. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*x - 9*x + 5*x)*(-537*x**2 + 140*x**2 + 47*x**2).\nAnswer: 3850*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 12\/4 + 65\/(-21)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.08 + -5.08. Let u be ((-4)\/(-40))\/((-2)\/5). Let w = -1308 - -1308.2. What is the closest to w in k, -2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-2) - 2) + 2. Let q = 5 - 10. Let x be (-90)\/q - (4 - 1). Solve -t + 21 = 2*t + k*s, -3*s + x = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122 - 38618691\nAnswer: -38618569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 9*l - 17. Let y be o(-4). Let j(u) be the second derivative of -7*u + 1\/12*u**4 + 0 + 0*u**2 + 1\/3*u**y. Determine i, given that j(i) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 890 is divided by 375.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18875426 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15*((-138)\/(-70) + 9\/21). Let u(m) = -73*m - 2. Let w be u(-2). Calculate the highest common factor of j and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/14 and 81\/52?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/4*(-24)\/(-352)*-248?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -6, -1, -191, -3, 4 in decreasing order.\nAnswer: 4, 1, -1, -3, -6, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v + 4*v - 12 + 0 - 5. Let l be f(8). Suppose -p = -l*p. Solve -5*m - 10 = -2*u - p*u, 2*m + 5*u = -33 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 9:31 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -4*l + 13. Let n be -4*6*6\/9. Let m = l + n. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 328*b**2 - 19*b + 6234. Calculate u(328).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -115*p**2 - 132*p + 836. Let a be u(6). What is a rounded to the nearest 100?\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 6813.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0 = -12. What is the remainder when 241 is divided by m + 0\/3 + 77?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ybzb when four letters picked without replacement from ybzzzyyiyyyzbzybz?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*x + 16*v - 13*v + 129, 2*x - 3*v - 231 = -x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -121*t**2 - 6*t - 7. Let u be j(-2). Let f = -449 - -287. Let w = f - u. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 22768*s + 32*s**2 + 67 - 22768*s. Let f(k) = -3*k. Give i(f(w)).\nAnswer: -192*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/3 - (1 + 1). Find the third derivative of l**5 + i*l**5 - 2*l**2 - l**5 wrt l.\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -4*z**3\/3 + 38*z - 35. Let y(b) be the second derivative of -b**3\/6 - 2*b. Give n(y(m)).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - a**2 - 3*a + 48. Let t be u(0). Let m be (-273)\/(-216) + (-18)\/t. Factor -4\/9*z**3 + 4\/9*z + m - 8\/9*z**2.\nAnswer: -4*(z - 1)*(z + 1)*(z + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1595 is divided by 133.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11100 - -101112211?\nAnswer: 101101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -31663 (base 8) to base 7\nAnswer: -53405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.583347 microseconds in hours?\nAnswer: 0.0000000143287075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 138, 203, 268, 333, 398?\nAnswer: 463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -5*h - 12, -11*h + 8*h - j = 8. Let u be -1*(7 + -7 - (-37)\/10). Which is smaller: h or u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -191\/49805028 and -17\/1287?\nAnswer: 547855308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n + 2*n + 6*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 9, j: 3}. Give prob of sequence bbbb.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, d: 3}. Give prob of picking 2 d.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o - 3. Let r be z(4). Suppose 0*s + r*s - 10 = 0. Suppose 0 = 4*h + c - 24, -c + 2 + s = 0. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 392879, 1571502, 3535869, 6285974, 9821811, 14143374, 19250657?\n\"Answer: -q**3 + 392878*q**2 - 4*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 10479639.16 plus 3293?\nAnswer: 10482932.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.277 and -5.\nAnswer: 1.385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2260900 and 68900?\nAnswer: 1557760100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 959800.7 centuries in years?\nAnswer: 95980070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-8) - 2\/8. Let o(b) = -b**3 + b**2 - 1. Let w(p) = 4*p**3 - 5*p**2 + p + 2. Let t(g) = -5*o(g) - w(g). What is the units digit of t(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**2 - 34*f - 47. Let l(u) = u - 1. Let o(j) = -5*l(j) + x(j). Let o(m) = 0. Calculate m.\nAnswer: -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/621044 and -115\/164394.\nAnswer: 5589396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n**2. Let z(w) = 3839*w. What is k(z(u))?\nAnswer: 44213763*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1431254 (base 6) to base 4.\nAnswer: 110000302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 120\/8 + (-2)\/(-1). Let z = v + 3. Suppose -s + 240 = 3*s. What is the greatest common factor of z and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*n**2 + 10*n**2 - 8*n**2 - 161*n**3 + 162*n**3.\nAnswer: n**3 - 22*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -161212?\nAnswer: 161211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*i**3 + 81*i**3 - 165*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 16690923 divided by -1\nAnswer: -16690923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 2:33 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 136240130 to the power of 1\/4, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2*j = 22, -5*m + 2*j + 7 = 45. Let v = 8 + m. Solve -v*b + 25 = 3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 43. Suppose z = -g - s, 2*s = g + 41 - 3. Let m = g - -65\/2. Which is the nearest to -1\/2? (a) -2\/21 (b) 0 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*d + 31*d = 153. Suppose 3*l - d = 120. What are the prime factors of l?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51271613?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/54 and -57\/3340.\nAnswer: 90180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - -1. Let p = q - 9. Let k = -487.8 + 488. What is the second smallest value in p, k, 1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 0, 0.40132, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*k - 2848 = 0, -327*x - 5*k + 3545 = -322*x. Calculate the highest common divisor of 9 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 15981911.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000039 to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*g = 1686, 22 = -4*g + 26. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 430335 (base 8) to base 16.\nAnswer: 230dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/1849 and 2\/43817.\nAnswer: 1884131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 + 331 = 8*b. What is the smallest common multiple of 18 and b?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 2*v + 1. Let g(l) = 5*l**2 + 7*l + 3. Let s(x) = -9*d(x) + 2*g(x). Let z = -128 - -143. Suppose 0 = -13*i + 16*i - z. Calculate s(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 23 = -3*u, -3*u + 10*u = -5*b + 55. Let g(z) be the third derivative of 0*z**4 - z**2 + 0 - 1\/10*z**u + 0*z + 2*z**3. Differentiate g(i) wrt i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, m: 18}. What is prob of sequence mumm?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 345, -2, -5\/2, 2 in decreasing order.\nAnswer: 345, 2, 1\/7, -2, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 672*x - 15 + 0 = 669*x + 3*u, 0 = 4*u + 20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 8 + -13 - (3 - (7 - -1)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3 - 3 + c**2. Let p(y) = -9*y**2 + 8*y - 4. Let t(h) = -9*h**2 + 10*h - 5. Let n(r) = 5*p(r) - 4*t(r). Calculate g(n(a)).\nAnswer: 81*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -24 - 2?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-92 + 15*m + 9 + 100)*(-2*m**2 + 0*m**2 + 4*m**2).\nAnswer: 30*m**3 + 34*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + -19. Suppose -5*g = 2*r + 15 - 84, -3 = -g - l*r. What is the remainder when 41 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = 5*w + 3*w. Let a be (-1 - w)\/2 + -4. Let h = -1023\/7 + 146. Sort 1, a, h in decreasing order.\nAnswer: a, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-170544)\/4488*(-3)\/((-9)\/3)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - o - 6 + 2 = 0, 4*g + 4*o = 24. Suppose 0 = -7*a + g*a + 45. Let i(q) = -q - 9*q - 5*q**3 + 4*q**3 + 9*q**2 + a. What is i(8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4477 and 11213257.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 613 is divided by 123?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 10. Let b = 0 - u. Let g = -9 - -7. Sort -5, b, g.\nAnswer: -5, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 21*r**2 + 24*r + 42. Let f be v(-22). Put f, -3, 7, 1 in ascending order.\nAnswer: -3, f, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 0 + 0 - (-3 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10085 or -4841?\nAnswer: -4841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 7*r - 370549 = -14*r. List the prime factors of r.\nAnswer: 71, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -110 - -190. Suppose -g + 6*g = p. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 584923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iw when two letters picked without replacement from {i: 1, j: 1, p: 2, t: 2, w: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 8, -0.7, -2\/63, -3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 247, 243, 239, 235, 231, 227?\nAnswer: 223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + n - 10 = -4*n, -5*b - 3*n + 6 = 0. Solve -2*u - p + 5 = -5*u, 3*u - 4*p + 20 = b for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85329 and 1996.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*t + 14*t - 391 + 419)*(0 + 39 - 1) in the form c + f*t and give c.\nAnswer: 1064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**4*q\/q**(-15)*q*(q**(-4))**18 assuming q is positive.\nAnswer: q**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (-1 - 0) - (-2 - -2). Let d be (0 + -216 + p)\/((-45)\/30). What is the greatest common factor of 18 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -890*b**2 + b + 890*b**2 - b**3. Suppose -9*c - 11*c = -3*c. Give t(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(684))**2 + -2*-2*sqrt(19) - (2 + (sqrt(684) - (sqrt(684) + 0)))**2.\nAnswer: 4*sqrt(19) + 2732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 37. Let u = -18 - o. Let d = -54 - u. Which is bigger: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1480791 less than or equal to -0.07?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -544 divided by 1?\nAnswer: -544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.157, -2\/21, 1\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6674 and 41280664.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4691, -9393, -14095, -18797?\nAnswer: -23499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*c**2*f**3 + 4*c**2*f - 11*c*f**3 - 2*f wrt f?\nAnswer: -42*c**2*f - 66*c*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 12:54 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22033 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23048.07 micrograms to grams.\nAnswer: 0.02304807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/2)*(m*m**(-2\/7))\/m)\/(((m*m\/m**(-1\/5))\/m)\/m*m*m*m*m**(-2)))**(3\/4) assuming m is positive.\nAnswer: m**(-417\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 17\/2 of a gram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1342 and 14.\nAnswer: 9394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l + 4*l + 2*l**3 - 32*l**2 - l**3 + 22*l**2 - 55. Is 3 a factor of g(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-2)*8\/(-16). Suppose 0*x - 6*x - 66 = h. Let t = 53 + x. List the prime factors of t.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 8*m + 1. Let s(g) = 10*g + 5104. What is s(o) - z(o)?\nAnswer: 2*o + 5103","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 + 35. Suppose c = -7*r + r + 2430. Suppose 8*v - r = 3*v. Is 27 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495462 is divided by 28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in sixty-one quarters of a millimeter?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 28454, 56911, 85368, 113825, 142282?\n\"Answer: 28457*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7979805*b + 7980193*b = -10088 for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -21*p**2 + 3*p. Let b be z(3). Round b to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 4.5. Let k = -21 + a. Let l = -6 - k. What is the biggest value in 1, l, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -15\/16, -48\/7, 1\/5, 0 in decreasing order.\nAnswer: 1\/5, 0, -0.2, -15\/16, -48\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58257?\nAnswer: 3, 6473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-3)\/x**(-3\/29) assuming x is positive.\nAnswer: x**(-84\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (29 + -38)*16\/216*-4038 is divided by 1346?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1737 and 60.\nAnswer: 34740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7304 is divided by 2358.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 11*j - 11. Let f = 0 - 6. Let n(g) = -g + 1. Let m(l) = f*n(l) - o(l). Let q be (-10)\/(6 + -5 - 3) - 6. Let t(a) = -1. Calculate q*m(u) - 5*t(u).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -84, -129?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.36 - 0.04. Let u be 76\/28 - (-2)\/7. Let h be 2\/(-14*u\/6). What is the smallest value in 0.2, w, h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2291632 a multiple of 632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 3272.\nAnswer: -13088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/14 and 65\/11516?\nAnswer: 80612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/401992 and 28\/159.\nAnswer: 63916728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 836 (b) -0.16 (c) -10\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 30*h**2 + 34*h - 45. Calculate the least common multiple of 12 and j(29).\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201a57b (base 12) to base 4\nAnswer: -112323132233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 less than -250?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-46 - -22 - -1) + -1\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**3)**35)**12)**31 assuming b is positive.\nAnswer: b**(-26040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.012902607401 to 5 decimal places.\nAnswer: 0.0129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 2*v**4 + (-v**2 + 5*v**2 - 3*v**2)*(-1423*v**2 - 1180174*v + 1180174*v) + (-3 + 3 + 2*v**3)*(-3*v + 2*v + 2*v).\nAnswer: -1423*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2*1\/14)\/((-25779)\/273 - -95)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 15 = -7*s. Which is the nearest to 1? (a) 0.4 (b) 0.06 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1914.87 (b) -22 (c) 0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 6) to base 13\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 7:46 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(35\/(-6)))\/(232\/203)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**3 - 3*r**2 + r - 2. Let u be ((-6)\/(6\/(-2)))\/1. Suppose 4*v - u*v = 4. Suppose -7*h + 3*h - 3*z - 4 = 0, 8 = -v*h - 3*z. Determine p(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/77 or -1539?\nAnswer: -1539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 423\/282*4\/(-3) - (-2 - -55)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -23, 1, 6, 0 in ascending order.\nAnswer: -23, 0, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -138, -14\/251, 0.1, -1, 0?\nAnswer: -14\/251","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 778068 is divided by 469?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4, 23, 58, 115, 200?\n\"Answer: s**3 + 2*s**2 + 6*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*g = 89*g - 100. Is 5 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-56)\/(-72) - (2 - 60\/27). Let h(c) = 22*c**3 - 3*c**2 + 4*c - 2. What is the remainder when 82 is divided by h(q)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 345 = -26. Suppose c + c = -3*g + 115, 5*c + 5*g - 280 = 0. Let z = c - r. Solve z*t + t + 4 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ql when two letters picked without replacement from {g: 4, s: 3, q: 1, l: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -25899 - 2?\nAnswer: -25901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*j + 435 = -93, 3*u = -5*j - 830. What is the least common multiple of (-1 - u\/12) + (-1)\/(-2) and 5?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2 - o + 2. Let f(j) = -2*j**2 - j + 2. Let x(z) = -3*f(z) + 2*i(z). Let u be x(-2). Is 5 a factor of u\/(-10) + (-64)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -36 + 122. What is the remainder when i is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 5*x = 7, -3 = 3*i + 2*x + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 1 = 2*c, -5*c + 5*z + 38 = 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4290)\/5720*28\/(-2345)*-10.\nAnswer: -6\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22194)\/1096 + -7*(-3)\/(-12).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of 0*r**5 + 0 - 1\/3*r**3 + 0*r + 0*r**4 + 5*r**2 + 1\/10*r**6. What is the first derivative of w(x) wrt x?\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 6:06 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 + 12 = -3*l - 5*i, l + 4*i - 17 = 0. Calculate the least common multiple of 80 and l.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16868 - 34321 = 994*v - 12423 for v.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 64 = -3*q - 26*u, u - 4 = -11 + 8 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1595946 to the power of 1\/2, to the nearest integer?\nAnswer: 1263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24*a**4 + 812 + 680 - 8*a + 2*a - 314 + 814 wrt a.\nAnswer: -96*a**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/19 + -1747\/16055. Let s = 4053\/845 - i. Factor -4\/5*l**2 + 4*l - s.\nAnswer: -4*(l - 3)*(l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/2588 and 101\/31056.\nAnswer: 31056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.15 + 5.65. Let j = -74 + 739\/10. Which is the nearest to 1\/2? (a) -1 (b) j (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qoo when three letters picked without replacement from {q: 4, o: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -80 + 81. Suppose 120 = r + p. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 415689 divided by -138563\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/10)\/(-3))\/((-18)\/(-10)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, e: 2, q: 4}. What is prob of sequence qe?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.384 + 0.616. What is the third biggest value in u, 0, -23, 2\/19, -2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 1. Suppose 7*v - 5*v = -2. Let o(s) = 41*s**3 - 6*s**2 - 2*s - 6. Let t(y) = v*o(y) - 5*l(y). List the prime factors of t(-1).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*r + 3*h, -5*r + 4*h = -0*r + 15. Suppose -3 = -u - r. Solve 4*o - 2 = 3*s + u, 4*s - 5*o + 6 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2*sqrt(6)\/sqrt(3) + sqrt(128) + 1)**2.\nAnswer: -24*sqrt(2) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + n - 5. Let j(y) = 2*y - 6. Let s be j(3). Let l be w(s). Let r(k) = -16*k - 15. What is the tens digit of r(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 2*j - 1. Suppose 3*b + 15 = -0. Calculate the remainder when y(b) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-8 - -40 - 16) + -7 + 10.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f**(-6\/7)\/f)*f**(-3\/5)*f*f*f\/(f*f\/(f**(1\/3)\/f*f)*f)*(f**4\/f)\/f assuming f is positive.\nAnswer: f**(482\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5*a - a**3 + 62*a**2 + 2*a**3 - 49*a**2 + 24 - 3*a. Let m be k(-12). Suppose -3*q + 537 = m. What are the prime factors of q?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -189, -199, -209, -219?\nAnswer: -229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 25, 0 = y + x + 3*x + 18. Solve y*r - 4*u = 24, -u - 3*u = 5*r + 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2502 + -2506. What is the biggest value in x, 3\/8, 2\/9, -6?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35229088 and 608?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76 + 76 + 42321*y**3 - 42293*y**3.\nAnswer: 28*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -362702 at most as big as -362704?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -q + 3. Suppose -3*k + 2*n - 2 = -31, -2*k + 51 = 5*n. Suppose b - k = -q. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 946 divide 23443509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 674496 and 9792.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*-54*75\/26325.\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-2) + (-2)\/4. Let n(h) be the second derivative of h**4\/4 + h**3\/6 - h**2\/2 - 57*h. Let q be n(w). Solve 4*s + 4 = 0, -2*s = -j - 6*s - q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -x + 2*x + 22, 3*a + 5*x + 2 = 0. Suppose 3*k = -5*n + 3, -n = -4*k + 3*n + 4. What is the first derivative of -a*z + 4*z - z + k wrt z?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/27)*(o*o**7)\/o)\/(((o*o\/o**(15\/11))\/o)\/o**(1\/2)) assuming o is positive.\nAnswer: o**(4715\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 + -218\/9. Let o be (-357)\/68*8\/(-6). What is the closest to 1 in o, r, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45497194 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -54, 3.6, -4\/39, 2, 5 in decreasing order.\nAnswer: 5, 3.6, 2, -4\/39, -0.3, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-20) - 432\/405)*(2 - 5\/4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, x: 3}. What is prob of picking 2 x?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20422 = -0*f + 2*f. Let j = 22789 + f. Round j to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**2\/6 + 16234*c + 395314134 = 0.\nAnswer: -48702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2 (b) -5\/17 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 0.34 (b) -72 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-680)\/((-160)\/8)*((-45)\/(-10))\/(-9)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3516*j*y**2 + 3*j*y + 2*j - 8*y + 19 wrt y.\nAnswer: 7032*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -120 != 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*a**2 - 219*a + 232*a + 2 - 461*a.\nAnswer: -9*a**2 - 448*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 60*g**2 + 17*g - 29. Let c be v(2). Suppose -6*i + 317 - c = 0. Calculate the greatest common divisor of 324 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2082 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 126892698\/11 at least as big as 11535700?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-1 - 4) + ((10 - 31) + 6 - -3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + 2*sqrt(396)) - (((0 + sqrt(396))**2 - sqrt(396))*4 + 3).\nAnswer: -1587 + 84*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45784289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 413223887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 k when three letters picked without replacement from kvvvvvvvvvvv.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4\/15 + -7\/5. Let k = -106.727 + -0.273. Let j = k - -102. What is the second smallest value in 0, c, j, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/11 + 9290*u\/11 + 927612.\nAnswer: 2*(u + 1782)*(u + 2863)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -591 and -550 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h + 0*h - 3*h)*((11 + 1 + 0)*(3 + 1 - 3) + 3 - 1 + 2).\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 3:11 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 18 - 66. Differentiate -156*s + 59*s + 4*s + 89 + b*s wrt s.\nAnswer: -77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.4 + 5. What is r rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**2 - 350*d + 4800 = 0. What is d?\nAnswer: 15, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000034308 rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-6)*186\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/(-1*sqrt(11)))\/(sqrt(567)\/sqrt(7)).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sc when two letters picked without replacement from jjcqqjscpjpjspsjcp.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -11 (b) 7 (c) -3 (d) 4\/7 (e) 0.7 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*(21\/6)\/(-7). Let k(o) = -o - 2*o**g - 2 + 6*o**2 + 2. What are the prime factors of k(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 7*k**2 + 5*k + 1. Suppose 109 = -10*o - 21. Let u(y) = -15*y**2 - 11*y - 2. Determine o*g(c) - 6*u(c).\nAnswer: -c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 129*l + 293*l - 214*l + 93*l to p*l + m and give p.\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/343 and 47\/38269.\nAnswer: 267883","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189241*v - 5100 = -189343*v. Suppose 5*j - k = 401, 3 = 3*j - 5*k - 242. Calculate the highest common divisor of j and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -658, -1, -29, 25.\nAnswer: -658, -29, -1, 2, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, q: 13}. What is prob of picking 4 q?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -6?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(-23)*r))\/(((r\/(r\/r**(9\/4)))\/r)\/r))\/(((r*(r\/(r**0*r)*r)\/r)\/r)\/(r*r**(2\/25)*r)) assuming r is positive.\nAnswer: r**(2483\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2*j - 70 = -5*b, 3*b = -5*j + 73. Calculate the remainder when 62 is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31210 + -14622. Let g be i\/6 - 16\/24. Suppose -g = -4*d - 4*a, 3*d - 2073 = -a + 6*a. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (112464\/(-710))\/(-36) - (0 - 1). Suppose q - 27\/5*g - 1\/5*g**3 + 9\/5*g**2 = 0. What is g?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*2\/(-4*2). Let t = 117516 + -117512. Sort -1\/3, t, q, -3 in increasing order.\nAnswer: -3, -1\/3, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6574 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 26. Which is the nearest to 2\/5? (a) n (b) -2\/7 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*s + 10 = -18, 5*r = 4*s + 34. What is the smallest common multiple of 7 and r?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 24 - 48 = 0. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m. Let n(v) = -v**3 + 5*v**2 + 11*v + 15. Let s be n(7). Let z be 126\/(-36)*s\/7. Let u(p) = 2*p. What is z*u(k) + j(k)?\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13924 + 13930. Suppose -2*b = 2*b - 64. What is the third derivative of 562*t**5 + 31*t**g - 562*t**5 - b*t**2 + 3*t**2 wrt t?\nAnswer: 3720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1179*42.3\nAnswer: -49871.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3951*o - 693799 + 89296 for o.\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -603*z**3 + 49*z**2 wrt z.\nAnswer: -3618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**3 + 0*j**3 + 2*j**5 + (4 - 4 - 4*j**4)*(-2*j + 4*j - j).\nAnswer: -2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7397375473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10\/499 - 648\/17465. Suppose 3*m + 0*m = 4*s - 8, -2*s + 4*m = -14. Which is the second smallest value? (a) 0.2 (b) d (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*w - 23. Suppose 1 = -i - 3*l, 0 = -w*i + i + 2*l - 14. Let j be 4 - -24 - i\/(-1). Solve 0*y = -2*h + 2*y - 16, j = -2*h + 4*y for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 14. Solve n = v + 2*q, 3*v + 2*q = -2*q - 3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from trtuutut. Give prob of picking 1 t and 2 u.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1488565319?\nAnswer: 1488565319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1978, -1989, -2000, -2011, -2022, -2033?\n\"Answer: -11*y - 1967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 3.06. Let s = i + -4.06. Which is the second smallest value? (a) -1\/5 (b) 3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -5*g + 9. Is o(-7) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64\/18)\/(58\/(-261)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 9:43 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -314834.6717 to the nearest 10.\nAnswer: -314830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 212 or 144?\nAnswer: 212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*c = 53 + 43 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*(sqrt(847) + 3)**2 - (0 + sqrt(343) + (sqrt(7) - (sqrt(700) + 4))**2))*-3.\nAnswer: 1821*sqrt(7) + 22293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -23\/2 != 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 846 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -17. Let b(t) = -t**3 + 4*t**2 + 3*t - 10. Let d be b(p). Solve d*n = -5*s - n + 18, 3*n - 12 = -3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3 + 4 - -386) + (-6)\/3.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 7 + -27 + 10 + 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0192 + -149217.452.\nAnswer: -149217.4328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291*f + 294*f - 12 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)*4)**2*6 - (sqrt(252)*1*4 + sqrt(252))**2) + -3.\nAnswer: 17889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**4 - 45357 + 5*g**4 + 45436 - g**2 - g**4 + g**2 + (2*g - 5 + 5)*(g - g + 2*g**3) to j*g**2 + z*g**4 + y*g**3 + u*g + f and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -50 (b) 0.3 (c) -303783\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 10. Let g be (0\/6)\/(l\/(-1)). Solve g*j + 4 = -j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 471, 942, 1413, 1884, 2355?\n\"Answer: 471*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 423*b**2 + 860 - 1720 + 860 + 545*b**2.\nAnswer: 968*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5*sqrt(38)\/sqrt(2)*-2 - (4 + (1 + sqrt(19) - sqrt(19)) + -1))**2.\nAnswer: -11496 - 480*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 22*y**2 + 18*y - 31. Let i(r) = -176*r - 901. Let s be i(-5). Give p(s).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 306*o**2 - 101*o + 200. What is the units digit of i(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1762998, 1763161, 1763612, 1764495, 1765954, 1768133?\n\"Answer: 24*o**3 - 5*o + 1762979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 582827\nAnswer: -5\/582827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 148 - 150. Sort 2, 6\/7, q, -0.4 in decreasing order.\nAnswer: 2, 6\/7, -0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = 11*l - 20. Which is the closest to 1? (a) 4 (b) l (c) -4 (d) 5\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(252) + sqrt(28)))\/(sqrt(4) + sqrt(192)\/sqrt(3)) - (4 + -2 + (sqrt(112) + (sqrt(112)*2 - sqrt(112)))**2).\nAnswer: -450 + 12*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, a: 2, x: 1, j: 8}. What is prob of sequence cx?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 24*d + 3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25508724 a multiple of 2238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 500 + -499.741. Round s to 2 decimal places.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36749*o + 36746*o - 73496*o + 183*o**3.\nAnswer: 183*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 8*h - 1)*(-5*h + 4*h + 0*h) + 3 - 3 - h**2.\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 u when three letters picked without replacement from {m: 4, u: 14}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 19380 (base 11) to base 3\nAnswer: 1101010122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 173, -4, 20, 5\/46 in increasing order.\nAnswer: -4, -3\/2, 5\/46, 20, 173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 537738 divided by 537738\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*x + 13 = 69*x - r, x = -r + 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 331 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of 386*d**6\/15 - d**3\/3 - 249*d**2 + 6*d - 96. What is the second derivative of u(c) wrt c?\nAnswer: 9264*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3706 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-10)*15\/(-42). Let g = -1.3 - -0.3. Let d = g - 1. Which is the nearest to k? (a) -4\/3 (b) d (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 92.73 + 50.\nAnswer: 142.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -16*p + 15*p - 7, -4*p - 2*j - 22 = 0. Let c(v) = -7*v**2 - 5*v + 8. Let h(d) = -8*d**2 - 6*d + 9. Determine p*h(s) + 7*c(s).\nAnswer: -s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 7*t - 6. Let r be v(2). Let l(c) = -c**2 + 7*c + 8. Let u be l(r). Suppose -4*i + 25 + 15 = u. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - (6 + -2)\/(2 - 0). Let f be (i + 8)\/(2\/6). Suppose 3*d = -2*j + 4*d + 19, -2*j - 4*d + 14 = 0. Does j = f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81483 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 138, -17, 4, 664, -5 in decreasing order.\nAnswer: 664, 138, 4, 2, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107384640 to the nearest integer?\nAnswer: 10363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*j - 8*j + 39*j - 2255 - 11*j + 85.\nAnswer: 9*j - 2170","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) 4287 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 2912?\nAnswer: 8736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + -640?\nAnswer: -632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q + w + 6, 9*q - 1216*w + 1219*w = 12 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -3) + (-1 - (-2 + -1))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 384 - 204. Calculate the greatest common divisor of 20 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/8)*t)**(-5) assuming t is positive.\nAnswer: t**(-25\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2853, 2964, 3089, 3234, 3405, 3608?\nAnswer: 3849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/40 + 59\/4. Let i = -17 + b. Put -4, 3, i in ascending order.\nAnswer: -4, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.53 + 0.09. Let r = a + -0.5. Let n = 0.119938 - r. Round n to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 + -82. Let a(v) = -v**3 - 23*v**2 - 26*v - 38. Let x be a(-22). Let g = x + i. Solve -2*q - 4*u = g - 3, -3*u + 6 = 3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-12)*(-96)\/(-4). What are the prime factors of w\/39 + (-21300)\/(-130)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -5*c + 225, -3*c + 137 = -44*a + 40*a. What is the remainder when 212 is divided by c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 124 and 332.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -896, -895, -894, -893, -892, -891?\n\"Answer: g - 897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 6*s**2 - 7*s - 7. Let c be f(-6). Suppose -28*z = -c*z - 28. Put z, -4\/9, 32, -0.4 in ascending order.\nAnswer: z, -4\/9, -0.4, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45803527\/53 + 864217. Let n = -2800\/559 - -93\/43. What is the common denominator of n and o?\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a week in minutes?\nAnswer: 23520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 937\/2385 + -22\/53. Find the common denominator of (2670\/2475)\/((-4)\/(-5)) and d.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -5 (b) 3\/170 (c) -7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20893538 - -20893538.18200214. Let m = d + -0.182. What is m rounded to 7 decimal places?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*d**3 - 7*d**2 + 104*d + 604358 wrt d?\nAnswer: 21*d**2 - 14*d + 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**2 + 110*m + 422. What is y(59)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*j - 21*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 8*l. Suppose h = -l + 1. Calculate the remainder when 25 is divided by 7 + (-1 - (-2 + h)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3548 = 4*i + j - 3535, -2*j - 26 = 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, 5, 0.3, -179, -2\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 64*s**2 + 21*s + 54. What is the units digit of x(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 6*(-3 + sqrt(539)))*-4 - (4*(sqrt(539) + -3*sqrt(539))**2 - ((sqrt(539) - (sqrt(539) + -4 + 1))**2 + sqrt(539))).\nAnswer: -8523 - 161*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 5*i + 875, 12*d + i + 1144 = 8*d. Let q = 289 + d. Suppose -6 - 3 = -3*z. Solve q = t + z*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5450212*q**6 - 92*q**3 - 1090860*q**2 - 301*q wrt q?\nAnswer: -654025440*q**3 - 552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (204\/(-8) - 6)\/((-2)\/(-76)). Let s = 5486 + v. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34920, -36661, -38394, -40113, -41812, -43485, -45126?\nAnswer: -46729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q - 14*q - 575 + 569)*(2*q + 3*q - 3*q + (4 + 3 + 9)*(2*q - 4*q - q)) to the form x*q + m + z*q**2 and give z.\nAnswer: 782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 8, j: 3, l: 1, f: 1, u: 3, o: 3}. Give prob of sequence ulsj.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 131, 1, -8\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 39843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25242 is divided by 1093.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/11 and 25\/14047?\nAnswer: 14047","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 361862781, 361862783, 361862785, 361862787, 361862789?\nAnswer: 361862791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1))**(8\/17)\/(m**13)**(-7) assuming m is positive.\nAnswer: m**91","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(132)*-1 + sqrt(132)) + sqrt(132)*1*-1)\/((2*sqrt(120)*1)\/(sqrt(80)\/sqrt(128))).\nAnswer: -sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 smaller than 0.87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 4:48 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 226*v + 6. Let p(y) = -45*y - 1. Determine -4*m(s) - 22*p(s).\nAnswer: 86*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -27838606 divided by -13919303\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/4 - 11*f\/4 - 5\/2.\nAnswer: -(f + 1)*(f + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 5*o - 3. Let w be v(-4). Let d = 84 + -82. Suppose -5*n = 20, -5*l + 3*n = d*n + 106. Is w bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*n**3*o**2 - 13*n**3 + 7*n**2*o**2 + 4*n wrt o.\nAnswer: 22*n**3*o + 14*n**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -13021232 (base 4) to base 11\nAnswer: -20011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + 2)*-1*-2 + (sqrt(110) - (sqrt(110) - ((sqrt(110) - (sqrt(110) - sqrt(110)*1))*3 + sqrt(110) - sqrt(110)) - sqrt(110)))\/(2*sqrt(160)).\nAnswer: 4 + 17*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 5*j - 80. Let a be x(0). Let n be -1 + (-46)\/a + 2\/(-10). Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of 0*n - 1\/240*n**6 + 0 + 0*n**4 + 1\/840*n**7 + 1\/240*n**5 - 15*n**2 + 0*n**3. Factor w(o).\nAnswer: o**2*(o - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/((-3)\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15\/9)\/(-1)*3. Let l = 9 - y. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2277\/34 - -1113\/17. What is the third smallest value in -6\/65, -0.2, a, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6\/(-4) - 2\/(-2))*220220\/(-10)?\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120 and 265209.\nAnswer: 10608360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q - 5*q + 3*q + 0*q + 4*q - 3*q + (-6*q + 4*q + 3*q)*(-2 + 5 - 2).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12568860 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -125 (base 8) to base 15\nAnswer: -5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.3, -0.1, -3\/5, -0.2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 42\/(-6) - (-6 - (1 - -3)). Solve 4*o = 4*c + 2*o + 10, -6 = m*c - 3*o for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*h + 184 - 184 + 12*h to the form p*h + u and give p.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 193 + -374. Let w = -181.0000614 - d. Round w to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 5 - ((-14 - 0) + 9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 597102130 and 7460.\nAnswer: 3730","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -389819 * 0.1.\nAnswer: -38981.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 202 and 4.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 54430719 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 8 + 7 = -c, -3*c - 17 = q. Let j be q\/(-20)*(-2 + 0\/(-5)). Is j at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/16 and (-15)\/(-10) - (-61)\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*r + 17, 5*h + 2 = r + 3*h. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p**(-1\/3)\/p)))\/p**(-16) assuming p is positive.\nAnswer: p**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, z: 1, j: 1}. Give prob of sequence vv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3246312996.\nAnswer: 2, 3, 17, 373, 14221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -284 + 30*n**2 + 837 - 551.\nAnswer: 30*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 29255 - -4?\nAnswer: 29259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 19*i + 23*i - 172, 892 = 5*c + 4*i. Suppose -4*z + c = -2*z. Calculate the lowest common multiple of z and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q - 3. Let t(c) = -c + 1. Let l(s) = 2*t(s) + v(s). Let p be l(-2). Suppose 4*i = -z - p, -11 = -3*z + 2*i + 6. Is z a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 12:35 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 2*o - 7*o + (0*o + 4*o - 5*o)*(4 + 3 - 5) + 2 + o - 2)*(-2 + 0 + 3)*(4 - 3 + 0)*(8 - o + 3*o - 9).\nAnswer: -20*o**2 + 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*t + 21*t + 220 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 231 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*53\nAnswer: -10.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0521705803 - -0.05217. What is g rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -0.4384.\nAnswer: -0.17536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4.2 (b) 0.169 (c) -4 (d) -2\/5 (e) -4212\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0.1 (c) 6 (d) -16.441 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 + -1 - (-7 - (-10 + 16 - 22))) + 71.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4863 greater than -4735?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (4 + -33 + 13 - -7) - 28.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.699*-123\nAnswer: 85.977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -329 + 339. What is the remainder when 45 is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58*(2840322\/4988)\/327.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 36 = -8*i, 0 = i + 452*w - 448*w - 36. Put 3, 4, -24, i, -1 in descending order.\nAnswer: 4, 3, i, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 11) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*d, -2*d + 4*f = -0 - 14. Let j(n) = -n**3 - 3*n**2 - n - 1. Let r be j(d). Suppose -r = b - 2*b. Solve -z - 1 = b for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d**2 + 6*d + 7. Let v(h) = -2*h**2 + 4*h + 5. Let w be 2\/7 + 1224\/(-168). Let o be ((-12)\/(-1))\/3 - -1. Calculate o*j(p) + w*v(p).\nAnswer: -p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 + 34. Put -1, k, -5 in decreasing order.\nAnswer: k, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 497 and 1589?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide ((-25)\/(-125))\/(2\/112130) - (0 + -6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 26*c - 71. Give h(7).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/2)\/(0 + -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145553249 divided by 5.\nAnswer: -145553249\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1626, -3249, -4872, -6495, -8118, -9741?\nAnswer: -11364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2420\/(-100) - -24)*(-23 - 2). Sort i, 1, 7, -3.\nAnswer: -3, 1, i, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -79 - (21 + -103 + 103).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1453)\/297 + (-30)\/165 + 5.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 - 81*n - 18*n**4 - 3\/4*n**5 + 327\/4*n**3 - 66*n**2 = 0. What is n?\nAnswer: -28, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q + 26. Let r be g(0). Suppose -5*n + 15 = -2*a, -4*n + 5*a + 12 = a. Let x be n*(-16)\/(-36)*156. What is the highest common factor of r and x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11850 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 13 = -u, u + 3*q = -4*u + 65. Suppose -u*i - 2 = 11. Let c(h) = h. Let n be c(0). Which is greater: n or i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*b**2 + 2*b**2 + 0*b**2)*(-3*b - 2*b**3 + 3*b) + (54*b**3 - 54*b**3 + 43*b**4)*(4*b - 6*b + 4*b))*(2 - 5 + 2).\nAnswer: -88*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1691515 + -187632. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (0 + 2)*(-5 - (-37)\/2) and 15?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 4*a + 538 = 0, -8*h - 4*a = 121449 - 120609 for h.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 143 and 1180608.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 10. Solve 2*z - 18 = -4*l, -3*l = -g*l - 2*z + 22 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*4*91\/(-728).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 524180959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 402313240 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*d. Let b = d + 3. Suppose 0 = b*c + 2*c - 35. What is the remainder when c is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8*((-3)\/2 + 1). Let p(l) = -l**3 - 3*l**2 + 3*l - 4. Let a be p(j). Let w(k) = 2*k**2 - 20*k - 918. Let z be w(27). Solve z = -a*d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/7336 and 53\/18.\nAnswer: 66024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -5*o + 51, o + 2*z - 18 = -z. Let q be -3*(21\/o + -3). Find the first derivative of -4 - u + q + 5*u wrt u.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2736.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.05000018 + 1.05. Round h to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 11162.\nAnswer: 55810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence clfe when four letters picked without replacement from fvfzcllzlcvflve?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s = -12*s - 5. Let v be (s - -6)\/((-5)\/(-4)). What is the closest to 0.3 in 0.3, v, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59 - 53. Let i be 3 - (1 + (2 - 66)). What is the highest common factor of a and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/6*(-6)\/(-63))\/((-252)\/38556)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -81 (base 16) to base 8\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -149? (a) -227 (b) 44 (c) -5 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 5*k**2 + 7. Let d be r(-5). Let y(x) = -x**2 + 6*x + 8. Let z be y(d). Let t = -0.06 - -0.26. Put t, z, -3\/5 in increasing order.\nAnswer: -3\/5, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/6)*(x*x*x**(-1))\/x*x)\/(x\/(x\/x**0))**(-4\/13))\/((x*x*x**(-1)*x*x)**(-1\/65))**(-34) assuming x is positive.\nAnswer: x**(-287\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5\/141 - 1781\/6768. Calculate the common denominator of q and -47\/36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -p - 2. Let i = -3 + 7. Suppose 2*j = 4*j + 4*y + 8, 0 = -3*j + 3*y - 12. Sort i, j, p.\nAnswer: j, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 2*o - 1. Let r be b(2). Let l = -2 - r. Let j be 1\/l + (-38)\/(-90). What is the second smallest value in -0.4, j, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen eighths of a millennium?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -550 - -1048. Suppose 3*c - s = -3*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, h: 7, e: 1}. What is prob of sequence ha?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1868 by -4.\nAnswer: -467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/32*-12*(-4)\/16.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**3 - s**2 - 2*s - 1. Let l(g) = -g**4 - 236*g**3 - 11857*g**2 - 44708*g - 33064. Let n(j) = -l(j) - 11*q(j). Factor n(f).\nAnswer: (f + 1)*(f + 3)*(f + 105)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18465597.\nAnswer: 3, 683911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 x when three letters picked without replacement from cxxxxxcxx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*y - 529 = -10*y + 91 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 912?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1590 and 525.\nAnswer: 55650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 12:08 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 926.\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7, -10 in descending order.\nAnswer: -2, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1331\/6 + 447\/2. Solve 0*w + 13\/3*w**4 + 0 - g*w**5 - 4\/3*w**2 - 4\/3*w**3 = 0.\nAnswer: -2\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-24)\/9)\/(-4) + 368\/24. Which is bigger: 11 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5211?\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/40)\/(36\/(-48)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 461 + 1?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2580 and 20746740?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28161.699985 - -28160.6. Let d = z + 1.1. What is d rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 564.3917 millennia to decades.\nAnswer: 56439.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -47.732 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*d - 258*d + 125*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 2*d**2 + d**2)*(-4220 - 1449 - 131).\nAnswer: -11600*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 338647456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -2. Let s = 49\/222 + -2\/37. Which is the nearest to 2\/7? (a) t (b) s (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 6. Suppose 4*o - 12 = -k + 5*k, -k - p = -2*o. Let l be (-2)\/10 + (-2)\/(-4). Which is bigger: o or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2*sqrt(30)*-5 - sqrt(4320)*1))\/((-4*sqrt(60)*2)\/(1*sqrt(90))).\nAnswer: -33*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3)\/(r*r**(3\/4)\/r))**(-1\/3) assuming r is positive.\nAnswer: r**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8589 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142 + 33*r**3 - 141 + 4*r**3 + 995*r + 351*r.\nAnswer: 37*r**3 + 1346*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*z - 2*z**4 + z**3 + z - 5*z + 0*z**4 in the form a + n*z**4 + c*z + v*z**3 + o*z**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4784154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15941380.128 minus 68.4?\nAnswer: 15941311.728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 6, -3, -20?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, 61.6, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -10. Let u(w) = -3*w**2 + 0 - 7 + 2*w**2 - 10 + 11 + 3*w. Determine u(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (16\/84)\/((-1)\/(-14)*12). What is the nearest to q in 5, 0.2, 2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) - (sqrt(242) + -2))*-1 + 1)**2 + -5 + sqrt(242)*-1*3.\nAnswer: -33*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.623129 meters to centimeters.\nAnswer: 262.3129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11*l**2 + 2\/11*l + 0.\nAnswer: 2*l*(l + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 603 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uyzz when four letters picked without replacement from ytuzl?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 353 = 3*a + 4*l - 5*l, -4*a + 3*l = -474. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 2*i**7\/15 + i**6\/120 + i**5\/20 + 2*i**3\/3 - 27*i**2 - 5. Find the third derivative of r(v) wrt v.\nAnswer: 672*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -384.3004872 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5 - 3 = 2*g, -2*u = 2*g - 10. Let m(l) = 338*l**2 - 1. Let i be m(g). Suppose -2*n = -v + 2*n + i, -4*n = -5*v + 15189. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = n + 3. Differentiate 7 - 2*o**4 - n - o**4 with respect to o.\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 6:35 PM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*o - 609 + 52 + 50 + 459 + 48.\nAnswer: 176*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 9*f**4 + 6*f**3 + 6*f**2 + 20. Let v(a) = -a**4 + a**3 + a**2 + 1. Let j(z) = -n(z) + 6*v(z). Differentiate j(k) wrt k.\nAnswer: -60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -16. Put -0.22, d, 4\/7 in descending order.\nAnswer: 4\/7, -0.22, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 10 = 2*k, 4*k - 5*h + 13 = 3*k. Let p be k\/4*2\/(-4). What is the second smallest value in p, -5, 1\/6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.03, 1\/4, 6, -0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3584914309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 a when two letters picked without replacement from gpaapgpwweppeeepg?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = r - 306. Let d be r\/(-6) + (-3)\/(-6). Let m be 44\/10 + 10\/d. Solve 2*x = 4*k + 12, -m*k - 5 = -1 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121221031122 (base 4) in base 13?\nAnswer: -1514a63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 i when two letters picked without replacement from rriirriiirirsrr.\nAnswer: 16\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + 0)**2*6.\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 10 - 0. Let f(q) be the third derivative of 1\/3*q**3 + q**2 + 1\/15*q**c - 1\/120*q**6 - 5\/24*q**4 + 0*q + 0. Factor f(j).\nAnswer: -(j - 2)*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j - 2. Let n be p(2). Suppose g = u - 7, -17 = -n*g + 2*g - u. Let q = g + 17. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnnnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.358 and -0.3.\nAnswer: -1.658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0037, 0.5, -2 in decreasing order.\nAnswer: 0.5, -0.0037, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 2. Let b(u) = -u**2 - 13*u + 4. Let d be b(-13). Solve d*p + 4*m - 11 = z, -p + 3*m = 9 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.12 in 3, 0.06, -4, -2\/3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4 + (sqrt(1700) - (sqrt(1700) - (1 + sqrt(1700)))) + sqrt(1700))**2.\nAnswer: -27236 + 480*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 5*t - 3*t + 25*t**2 - 3 - 24*t**2 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -91 - -660. What are the prime factors of n?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(325)*2)**2 + 5 + (sqrt(104)*-1*-1)\/(3*-2*sqrt(8)).\nAnswer: -sqrt(13)\/6 + 5205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggfnvvfvynvnfvnvv. Give prob of sequence fv.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7120 divided by -890?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 30 = -34. Let v = z - -38. Calculate the least common multiple of v and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(1 + (-27)\/24). Suppose 34 = 3*m + b, -b - 58 + 20 = -5*m. Find r such that 3*r + p*r**2 + m = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -923*r - 26 = 921*r - 1842*r for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 - (-1 + -23 + 8).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**2 - 2*k + 7. Let c(v) = 3*v**2 + 4*v - 14. Determine 4*c(b) + 7*g(b).\nAnswer: -2*b**2 + 2*b - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + 2*q**2 + 0*q**2)*(-102*q - 160*q - 29*q + 2 + 49*q).\nAnswer: 242*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 5*q**6\/3 - 38*q**5\/15 - 5*q**4\/2 + 46*q**3\/9 - 8*q\/3 - 197. What is t in n(t) = 0?\nAnswer: -1, -2\/5, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-32)*(-8)\/(-39)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 5.94, 3\/4, 1\/4, -11?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 6*c**2 - 3*c + 18. Let t(h) = -h**2 + 4*h + 1. Let f(z) = s(z) + 4*t(z). Factor f(y).\nAnswer: -(y - 2)*(y + 1)*(y + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 (base 12) to base 3\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - 8\/6*-6. Let g(x) = x**3 - 6*x**2 + 8*x - 7. Suppose 0 = -3*o + 9, 0*o + 5*o = 4*y - 41. Calculate the remainder when y is divided by g(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m - 5*m**3 + m**2 - 3*m - m.\nAnswer: -5*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -257*v**2 + 257*v**2 - 349*v**4 + (4 - 3*v - 4)*(-2*v**3 + 2*v**3 + 2*v**3)*(3 - 1 + 0) to k*v**4 + z*v + q*v**2 + g + a*v**3 and give k.\nAnswer: -361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-616744)\/60)\/((-52)\/390) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + 0 + -1 + sqrt(891) + (sqrt(891) - (sqrt(891) + 1)*1) + (sqrt(891) + ((4*sqrt(891) + sqrt(891) + sqrt(891))*3 - sqrt(891)))*5)**2.\nAnswer: -3312*sqrt(11) + 7541428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24797471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -11. Let h(m) = 3*m**2 + 2*m - 2. Let o(l) be the first derivative of -l**3\/3 - 3190. Give c*o(w) + h(w).\nAnswer: -3*w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 149a (base 13) to base 15.\nAnswer: d50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*5*-1*sqrt(7) + 5 + (sqrt(7) - 6*sqrt(56)\/sqrt(8))**2.\nAnswer: -5*sqrt(7) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 5*b**2 + 4. Let t be l(5). Suppose d + 5 = 2*d. Solve 9*n - t*n + 30 = q, 3*n + d = -2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 2*f**2 - f - 1. Let z be r(-1). Suppose 5*j + z = 11. Suppose 12 = 2*i + 5*b, -4*i - j*b + 3*b = -2. Which is smaller: i or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 50, 18, 4, -6, 0 in descending order.\nAnswer: 50, 18, 4, 0, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 6 = -4*k - 2*c, c = -3*k + 18. Let a be (48\/108)\/(((-4)\/k)\/1). What is the nearest to -2 in -2, 2\/7, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1808, -1749, -1656, -1535, -1392, -1233?\n\"Answer: -d**3 + 23*d**2 - 3*d - 1827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.681 rounded to one dp?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 609 - 607. Let n be (s + (-4 - 3))\/1. Let z = -569\/8 - -71. Is n bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 2*u**5\/45 + u**4\/18 - 10*u**3\/27 + u**2\/3 + 24. Determine c so that d(c) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6640*o**3 + 83*o**2 - 6*o + 64351419?\nAnswer: 19920*o**2 + 166*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i**5 - 32*i**4\/3 + 80*i**3\/3 + 20*i**2\/3 - 62*i\/3 + 4 = 0 for i.\nAnswer: -3, -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 10 = 3*h - 29, 0 = -4*u - 12. Let n = 108 + -68. Calculate the highest common divisor of h and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1343*o + 437*o + 453*o + 433*o.\nAnswer: -20*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (7 + (11 - 5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7148 + -7094. Solve -g = 4*x - 74, 0 = -5*s - x for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 355 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -19*15*(-23)\/(-345)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5696*-3.\nAnswer: -17088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -879663, -1759361, -2639099, -3518877?\n\"Answer: -20*l**2 - 879638*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -756*n - 4. Let a be ((270\/(-12))\/(-15))\/(1\/(-2)). Let y(f) = 1513*f + 8. Let b(j) = a*y(j) - 7*x(j). Is b(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36474872.\nAnswer: 2, 7, 23, 28319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 255101055?\nAnswer: 255101055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**2 - w. Let h be l(1). Let q be h*3\/9*6. Let g(i) = i**2 - 1. Let a(m) = -3*m**2 + 2. Let x(b) = q*g(b) + a(b). Let u(n) = 2*n**2. Give u(x(p)).\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - -10 - 7 - (88 + 5 + -12 + -1).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/14? (a) 5 (b) 0.15 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 181608343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - (-4)\/(-16)*0. Let k(o) = 2*o**3 - 6*o - 3*o - 11 - 3*o**j + 12*o**2. Calculate the remainder when k(11) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82 divided by -333.\nAnswer: 82\/333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 d when two letters picked without replacement from {d: 1, c: 1, l: 1, s: 3, w: 3, e: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 204, -7971, -30134, -73281, -144408?\nAnswer: -250511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 58*f**3\/3 + 88*f**2 + 6*f - 706. Factor j(k).\nAnswer: 2*(k + 3)*(29*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-4))**(-2\/5)\/(n**(-12)\/n**(1\/11)) assuming n is positive.\nAnswer: n**(111\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 6*r**2 + r + 8. Let z be q(-6). Let p be (0 - z - 5) + -2. Let i = 14 + p. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33933619 and 1745.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5407, 11545, 17685, 23827?\nAnswer: 29971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -11010100101111010101001?\nAnswer: -11010100101111010101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r - 66, -44 = 3*x - 20*x + 3072*r - 3070*r for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10857\/1034*(-36)\/(-1377)*-3.\nAnswer: -14\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2846 * -41.6.\nAnswer: -118393.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41074474 to the nearest integer?\nAnswer: 6409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 2) + (-5 - -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and -5221.\nAnswer: -5220.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 287.2 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 0*i. Suppose 0 = 9*m - 1037 + 1406. Let d be (15\/(-12))\/(m\/164). Solve -3*z + w - 4 - d = 0, i = -3*z - 2*w for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9\/2*m**4 - 1\/2*m**5 - 25\/2*m**2 - 10 + 13\/2*m**3 - 24*m = 0. Calculate m.\nAnswer: -1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56\/56*2\/(-14)*14*(-35)\/2\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 divided by 251.\nAnswer: 49\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 - -184. Let s = m - 221. What is the remainder when 39 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 12417\/14 + -16119\/14. Let y = -265 + 1. Let v = x - y. Which is greater: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 27*j + 20. What is the remainder when s(-25) is divided by 55?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75917823623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61.174838 - 2.\nAnswer: -63.174838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fhf when three letters picked without replacement from {f: 3, k: 4, h: 5}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -111*y**2. Let g(o) = 488256*o. Determine b(g(p)).\nAnswer: -26461725290496*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7904639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 + -19. Suppose 0 = 2*i - 24 - b. What is the highest common divisor of 20 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -11430?\nAnswer: -11432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 610951711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1604?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -17.000064. Round o to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 286003 and 216395.\nAnswer: 547695745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*0.86.\nAnswer: 0.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus -16087504777128?\nAnswer: -16087504777133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b + 3. Let a be w(-1). Suppose a*u + 360 = -5*q + 1015, 2*u + q = 262. List the prime factors of u.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151*6263.\nAnswer: -945713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 23.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 451840.3 millennia in centuries?\nAnswer: 4518403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 87172020 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6306.558t to nanograms.\nAnswer: 6306558000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1567535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 99486.8 grams in tonnes?\nAnswer: 0.0994868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - (-22 + (30 - 16) + 11)) + -22?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q + q + 8*q**2 - 39*q**3 + q - 11*q**2 + 382*q**3 to the form t*q**3 + o*q + i*q**2 + m and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -324 - -2924\/9. Which is smaller: 2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10.8? (a) -0.1 (b) -0.2 (c) 0.21 (d) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -8. Suppose 153 - 481 = -4*u. Suppose j*i - 6*i - 3*f + u = 0, 0 = 5*i - f - 112. What is the least common multiple of i and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddcdcddddddcddddddcc. What is prob of sequence cdd?\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21\/170? (a) 2\/3 (b) -4 (c) 2\/33 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + (2*sqrt(637))**2)*-6 - (((sqrt(78)\/sqrt(3))\/sqrt(2))**2 - (-1*sqrt(78))\/sqrt(6) - (2*(0 + sqrt(208) - sqrt(208)))**2).\nAnswer: -15289 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/9 + (-1)\/3 - (-86 - -81).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0.4, 0.75?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/3175*(((-40)\/(-52))\/((-12)\/(-39)))\/2.\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 770198.1 millilitres?\nAnswer: 770.1981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (32682\/(-6704))\/((-9)\/(-12))\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(5*sqrt(11)) + sqrt(13) - (sqrt(13) + 5)*-1.\nAnswer: 5 + 11*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 7*y - 4*y, 2*g - 48 = 5*y. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 11*w**2 - 25*w - 320. Give f(6).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - d**2 + d - 1. Let p(n) = 145*n**3 - n**2 + n - 2. What is -2*p(u) + 2*x(u)?\nAnswer: -288*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((8 + 10 - 16)*(-5 + 3 + 0) - 12 - 81 + 22)*(-c**4 + c**4 + 2*c**4).\nAnswer: -150*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.6 - 4. Let q = 3.676 + 0.024. Let z = q - 1.7. Put z, f, -2\/7 in descending order.\nAnswer: z, -2\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 2*k. Suppose -2*d + 8 + k = 0. Solve d*r = 2*a - 0*r + 8, -5*r + 12 = -2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 9*x**2 + 2*x - 13. Does 5 divide p(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = 4*z - h + 8, 0 = -z + 3*h - 33. Let r(t) = -6*t - 10. Let y be r(4). Let c = z - y. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6502 - -6505. Solve f*h + 2*u + 6 = 0, 3*h - u + 61 = 46 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(8)\/sqrt(2))*4 - -2*sqrt(171)*4.\nAnswer: 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -407 - -407. Factor d - 2\/9*u**3 + 0*u + 0*u**2.\nAnswer: -2*u**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(75) - (sqrt(75) - (4 + sqrt(75) + 4*sqrt(75)))) + 1 + (sqrt(75)*-4 - sqrt(75)))*6 + -3)**2.\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1869\/27 - 2\/9. Suppose -3*x - 21 = -m. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -8*j + 6. Calculate z(9).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10044*m - 40560*m - 3661920 = 0 for m.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62693 = 58*c - 338667. What is the hundreds digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**2*k**3*r - 4*c**2*k**2*r - 3*c**2*k**2 - 13*c**2*k*r + 2*c**2*p - 3984*c*k**3*p*r + 21*k*p*r + k*r wrt k.\nAnswer: 6*c**2*r - 23904*c*p*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - (-40)\/(-12))*-12. Is ((-315)\/12)\/((-6)\/t) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32640 and 329040.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*f*x**3*z**3 - 12*f*x**3*z**2 - 22*f*x**2*z**3 + 4*f*x**2*z - 3*f*x*z**3 + 6*f*z**2 wrt x.\nAnswer: 108*f*z**3 - 72*f*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2 = -4. Let r = 0.09 - -5.91. Let m = 8 - r. Which is the biggest value? (a) 2\/19 (b) m (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0192 less than -0.1?\nAnswer: -0.0808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -644858*q - 26*q**2 + 644858*q.\nAnswer: -26*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.17*2859\nAnswer: -486.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i**2 - 6*i - 2. Let v be q(2). Suppose -42 = m + v*m. Let g(x) = -4*x - 33. Let w be g(m). What is the greatest common divisor of 92 and w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**5\/240 + w**4\/96 - 92*w**2. Factor y(z).\nAnswer: -z*(z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m = 8*m + 40. Suppose 3*p - m = w, -4*p + 45 = -0*p + 5*w. Find the third derivative of -16*o**5 + 9*o**5 - 4*o**2 + 14*o**p wrt o.\nAnswer: 420*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 11*y**2 + 8*y - 8. Let z(p) = -6*p**2 - 4*p + 4. Let t(j) = -3*g(j) - 5*z(j). Let c(k) = 2*k**2 + 3*k - 3. Let m = -8 + 13. What is m*t(x) + 7*c(x)?\nAnswer: -x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of x**7\/420 - x**6\/80 - 7*x**5\/120 + 5*x**4\/16 + 3*x**3\/2 - 2*x**2 - 37. Find l, given that i(l) = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100121021 - 11?\nAnswer: -100121102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 203305*j**2 + 168*j - 44965525.\nAnswer: 406610*j + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56 by 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34012233 (base 5) to base 14.\nAnswer: -7a76a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of w**4\/12 - 5*w**3\/3 - w**2. Let s be z(9). Let r = s + -6. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (2 - 3 - -18)) + -4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-2)*(-64)\/96)\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 3)*(809 + 404 - 1754)*(2 - 5*g - 2) to y*g + q and give y.\nAnswer: -2705","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -252972, -253064, -253216, -253428, -253700, -254032?\nAnswer: -254424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 4:57 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 45, 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5*(-37844)\/50*-5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 115\/222 - 2\/111. Sort -1\/4, -0.4, y, 5.\nAnswer: -0.4, -1\/4, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 6\/5 (c) -161 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 15 (b) 82 (c) -73.8 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.15 - 16.85. Let u = 16.1 + z. Let q = u + 1. Which is smaller: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a - a**4 + 3*a)*(-21*a + 116*a + 29*a) - 4*a**5 - a**5 + 0*a**5.\nAnswer: -129*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = q. Let z(m) be the first derivative of -m**2\/2 + 23*m - 35. What is the units digit of z(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c + 15 = 2*p + 13*c, -5*c + 5 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yems when four letters picked without replacement from {y: 4, e: 1, s: 1, m: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4f (base 16) to base 9.\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*13953.\nAnswer: -55812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j*j*j**4*j))\/j)\/(j*j\/(j\/(j\/((j**(-1)\/j)\/j)))) assuming j is positive.\nAnswer: j**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.1 - 11. Let x = 3 + -7. Let p = f - x. Which is the second biggest value? (a) -3\/5 (b) 0.5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 763900.849726 - 763903. Let a = o + 2.15. What is a rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**3 + 21*z**2 - 43*z - 66. Let u be k(-12). Calculate the greatest common divisor of 46 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -133 - -137. Let a(i) be the second derivative of 5\/2*i**2 + 8*i + 1\/12*i**g + 0 + 5\/6*i**3. Determine a(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10316 and 164491199?\nAnswer: 657964796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 + i - 161. Determine l(0).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 7*v**3 - 5*v**2 + 8*v + 2. Let t(p) = -6*p**3 + 4*p**2 - 7*p - 1. Determine 5*t(b) + 4*w(b).\nAnswer: -2*b**3 - 3*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 12 + (-23 - (4 + -16) - -3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -174 + 134. Let u be -5*x\/(-1550)*1\/2. Which is the nearest to u? (a) -2\/5 (b) -3\/5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.49 + 1.50707. What is t rounded to 4 dps?\nAnswer: 0.0171","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49142*b**3 - 66906*b**3 + 116044*b**3.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x + 2. Let h be a(-2). Suppose -5*r = -h*r - 245. Factor -4*z + 47*z**2 + 0*z - r*z**2.\nAnswer: -2*z*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37 + 16*h + 37 to v*h + c and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27143824 divided by 4.\nAnswer: -6785956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - ((-4943)\/4 - (0 - 4)\/(-16)). What is the greatest common factor of 95 and m?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -4*c + 355, 14*c + 360 = 18*c - 4*p. Solve -61*s = -c*s - 96 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + (16 + -18 - -11) + -7 + 1?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 461549403951.512 + -5.\nAnswer: 461549403946.512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/((-8 - -4) + 5). Suppose -4*p - 5 = -u. Solve p = -4*m + 3*i - 21, -2*i = -5*m - 0*i - 21 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8046066 to 3 decimal places.\nAnswer: 0.805","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 84 + 44 + -32 + -60\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 589616 is divided by 461?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1682104581.\nAnswer: 3, 41, 4558549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -49, -84, -119?\n\"Answer: -35*l - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.014411ug to grams.\nAnswer: 0.000000014411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 0.03 (b) -1\/4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.79309 and 14468.2.\nAnswer: 14467.40691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/6305 and 64\/873?\nAnswer: 56745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 315 = -38*s. Let i be 22\/165*5\/s. Determine c, given that 2\/21*c + 0 + i*c**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 3*b - 26*b + 414. Let w be (-125 + 0)*(-6)\/15. Let c = w + -28. What is the smallest common multiple of b and c?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37048.1 rounded to the nearest one hundred?\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*h**3 + 4070*h**2 - 2919*h - 2?\nAnswer: -24*h + 8140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -779218344139674 + 0.3\nAnswer: -779218344139673.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.02, 0.5, 8.11493, 2?\nAnswer: 8.11493","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z + 3*r = 17*z + 14, -2*z - 5*r + 18 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -10 - (-2 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*n**3 + 60*n**3 + 70*n**3.\nAnswer: 169*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*b**3 + 12*b - 48*b**3 + 98*b**3.\nAnswer: 2*b**3 + 12*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -2 (c) 4\/7 (d) 12814080\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 9*f + 6. Let c be n(-10). Let s be c\/(-24)*(-6)\/4. Let b = s + 4. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 370 times 0.105999?\nAnswer: 39.21963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*z**3 + 488 + 4*z**3 - 488 - 5*z**3.\nAnswer: -14*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 2*b - 1040 = 0. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 57 - 47. Let o(c) = -32*c**2. Let r be o(1). Let j be (1 - v)*r\/6. What is the greatest common factor of j and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*c - 2768 = -94*c. Let h = c + -27. What is the greatest common divisor of h and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1332 - 1331.98362. What is s rounded to 3 decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -10302*c**3 + 18*c**2 + c + 3. Let a be l(2). Round a to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 z when four letters picked without replacement from wwfwyyvfwvzfvv.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -87360 rounded to the nearest 1000?\nAnswer: -87000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -6*f**2 + 75*f + 40. Give h(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70 - 66. Suppose -y + 0*x + 3 = 5*x, -2*y + m*x + 6 = 0. Solve y*h - 1 = 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/75 + 1 + 1586915\/30250 - (-14)\/(-4)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1352538 <= -1352592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98289927, 98289931, 98289939, 98289951, 98289967, 98289987, 98290011?\nAnswer: 98290039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 2. Let i(z) = 3 + z - 3*z - 16 + 2*z**3 + a*z - 7*z**2. Let p(v) = v**3 - 4*v**2 + 3*v - 6. Let t(s) = -2*i(s) + 5*p(s). What is t(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 1:12 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 14 - 20. Let o(r) = 3. Let y(w) = -w - 4. Suppose -2*g = 5*g - 21. What is g*o(t) + p*y(t)?\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 22\/5 (b) -1\/3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69937*d**2 - 173326*d wrt d.\nAnswer: 139874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a century in months?\nAnswer: 11040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 j when three letters picked without replacement from {j: 11, p: 3}?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/70)\/(((u**24\/u*u)\/u)\/u))**(-10) assuming u is positive.\nAnswer: u**(1539\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**2\/7 - 85366196*u\/7 + 910923427438802\/7 = 0.\nAnswer: 21341549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 211385401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 divided by -26?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1357345, 5429458, 12216315, 21717922, 33934285, 48865410?\n\"Answer: i**3 + 1357366*i**2 + 8*i - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 50*u**3 - 29295*u**2 + 2810320*u + 281325 = 0.\nAnswer: -1\/10, 121, 465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of 0*r + 0 + 3*r**2 + 1\/60*r**5 + 0*r**4 - r**3. Let b(y) be the first derivative of z(y). Let i(p) = 5*p**2. Give i(b(m)).\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 964000 to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of z**5\/60 - z**4\/24 + 40*z**3\/3 - 7*z**2. Let w be l(0). Suppose w - 20 = 3*f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/15544598 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 276 = 4*u - 4*x, 3*x + 12 = 0. Suppose 4*n + 2*k - 44 = -2*k, -4*k - u = -5*n. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3144 + -31055?\nAnswer: -34243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 763 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 673638 to the power of 1\/2, to the nearest integer?\nAnswer: 821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -11. Suppose 4*y + 4*i = 19 + 37, f*y = -3*i + 53. Suppose y*x - 12*x = -119. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15677.6 - -15679. Let y = -37.5 - -38. Sort c, 5, y in increasing order.\nAnswer: y, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200*x**2 - 62*x**2 - 11*x**2.\nAnswer: 127*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*l + 1165*l - 8493 - 5006 = -642 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 69087186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 15c1?\nAnswer: 15c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 4*n + 25 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 12:59 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3938670 and 8665074.\nAnswer: 43325370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6 + 0.573. Let y = u - -1.027. Sort 4, y, 6, -0.5 in decreasing order.\nAnswer: 6, 4, y, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*i + 22*i**3 + 2 - 201*i - 4*i**2 + 99*i.\nAnswer: 22*i**3 - 4*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5 + sqrt(32) + (sqrt(2)*2)**2 + 0 + sqrt(2) + sqrt(98) + 1 + 1 + -3.\nAnswer: 8 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -5*k + 25, -31 + 6 = -k - 5*j. Let f be 184\/3 + 2\/3 + k. Suppose -f*v - 94 = -64*v. What are the prime factors of v?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3)*6\/(-8)*(-300)\/(57\/(-19)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqfffqiffitqtfqqf. What is prob of sequence qtti?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-285)\/(-48) + (-3)\/(-12) and 65\/12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1039*g - 4128*g - 5410*g as l + w*g and give w.\nAnswer: -8499","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/4)*(w\/w**(-1)*w)\/w*w**(-2))**11)**27 assuming w is positive.\nAnswer: w**(-297\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 476039 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1203592147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 821198 is divided by 2972.\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4 = -3*n + 18, -4*n = -4*x - 16. Suppose 5*k - 25 = 0, k = h - 5*h - 111. Let b = -11 - h. Calculate the least common multiple of n and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -633*b*l + 235*b + 8 wrt l?\nAnswer: -633*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 9:53 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) - -3*sqrt(75))*-2 + (2 + 2*sqrt(75) - sqrt(75)) - (3 + (-4 + sqrt(75))*-6)*-3)**2.\nAnswer: -20750*sqrt(3) + 53764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 39, 7, -3\/8, 5, 165 in ascending order.\nAnswer: -2, -3\/8, 5, 7, 39, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-2)*154047\/27. Let n = r - -8536. Find the common denominator of -81\/2 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111111101 (base 2) to base 13\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1413760?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3 - 1560579*n**2 + 40576575*n - 263751033.\nAnswer: -3*(n - 13)**2*(n + 520219)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 30 + 6. Let r = -1031.9393 + 1032. Let v = r - -0.0393. Which is the second smallest value? (a) -2\/3 (b) n (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 5*d**3 - 7*d**3 + 18*d**3 + (d**2 + 5*d**2 - 5*d**2)*(-4*d + 2*d + 3*d).\nAnswer: 7*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7365262, 14730528, 22095794, 29461060?\nAnswer: 36826326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12373501331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - 0\/2 - 3. Suppose f = -0*a + 4*a - 72. Suppose 4*q - a + 6 = 0. Calculate the greatest common divisor of 27 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 7:13 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (1 - -3 - 28)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**5 - z**5 + 0*z**5 + (-14*z + 14*z - 7*z**4)*(-z + 3*z + 0*z) + (z + 2 - 2)*(-5*z**4 + z**4 + 5*z**4).\nAnswer: -12*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -741, -735, -727, -717, -705, -691?\n\"Answer: l**2 + 3*l - 745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 10 + 4. Let m = 11 - f. Calculate the greatest common divisor of 91 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.09? (a) 0.19 (b) 50 (c) 3 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + (-2*sqrt(66) - sqrt(66)))*-3 - sqrt(66) - (5*sqrt(66)*2 - sqrt(66)))\/(-5*sqrt(150)*-2)*-6.\nAnswer: 12*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57198114 to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10849 and 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 8365 = -0*k. Let v = k + -13485\/8. Calculate the common denominator of (-1)\/(-6*20\/(-138)) and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 2*v**3 + 2*v**2)*(42 - 5 + 14)*(1 - 1 - 1).\nAnswer: -102*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of l**4\/24 - 2*l**2. Suppose -4*f - 4 = -24. Suppose 0*w - 5*s + 15 = w, f*s - 5 = w. Calculate q(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of ((-5091)\/6)\/((-40)\/80)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1073 - 537. Let x = 824 - z. Is x a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -425676213 - -425676216.03999681. Let x = -3.04 + h. What is x rounded to 7 decimal places?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*m = 281 - 283, -5*r + m = -14. Solve -5*x + i + 7 = 0, 3*x + 4*i - r = -7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 - 153\/27 - ((-244)\/144 + 1). Let t(o) be the second derivative of -k*o**4 + 14*o + 8\/9*o**3 + 0 - 32\/3*o**2. Factor t(f).\nAnswer: -(f - 8)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -1165*h**3 - 8*h**2 + 154*h + 153. Determine r(-1).\nAnswer: 1156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/760 and 37\/24.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l\/(l*l*l*(l*l**(-2)*l*l)\/l)*l)\/(l*l**(-11)\/l*l))\/(l**(-16)*l*l*l**(1\/13)) assuming l is positive.\nAnswer: l**(324\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159\/(-15) + -2*(-48)\/(-40).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/28*42\/(-4). Suppose i*k = 3*k - 5*b + 146, 3*b = -6. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 - 8324*a**2 + 4326396*a + 4334724.\nAnswer: 4*(a - 1041)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001506 rounded to seven dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 836741 is divided by 34864.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 18 - 17*g)*(5 - 1 - 2 + 2*g).\nAnswer: -34*g**2 - 34*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5567, 5872, 6407, 7178, 8191, 9452, 10967?\n\"Answer: t**3 + 109*t**2 - 29*t + 5486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (-19 - -6) - -10.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -48, 6, 77\/2?\nAnswer: 77\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -19\/3*q**3 + 10\/3*q**2 + 0 - 1\/2*q + 3\/2*q**5 + 2*q**4 = 0. What is q?\nAnswer: -3, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 127 + 21 = -2*h, -3*h = 9. Let k = 56 + q. Solve 4*c + 6 = -4*o - 2, o + 3*c + 8 = k for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express a**4 - 1 + a**2 + 3*a**3 - 10*a**3 + 5*a**2 + 2*a as q + d*a**2 + h*a**3 + x*a**4 + w*a and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 9 = 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 6. Let b = g + -2. Suppose -2*m = -5*m - o + 4, -m = -5*o + 20. What is the closest to -1\/3 in 5, b, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -4*y - 265912 + 265936, -4*y + 24 = -5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5405511 is divided by 7592.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.34524+-0.2\nAnswer: 0.14524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 0.5, 5, 0.2, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 b when three letters picked without replacement from ssyroysssbsrybry?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.13 + -6.13. Let u = t + 6.3. What is the closest to -1\/2 in u, -1, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - -2311.\nAnswer: 2315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-28.77252.\nAnswer: -14.38626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -21\/155752 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millennium in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.567 + -3.067. Sort v, -0.06, 1, -0.2 in descending order.\nAnswer: 1, -0.06, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/23*246\/(-18). Let b = -6\/23 + g. Solve 0 - b*a - a**3 - a**2 - 1\/3*a**4 = 0 for a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -625 + 625.1031. Let p = m + -0.11. Round p to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -0.2, 0.07, 302, -0.4 in descending order.\nAnswer: 302, 2, 0.07, -0.2, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhzhzzzhzzbrz. What is prob of picking 1 b, 1 z, and 1 r?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -1 (c) -10.6 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 14337.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*z**2 + 0 + 2 - 4*z**2 + (-z + 6*z - 2*z)*(3*z - 6*z - 4*z).\nAnswer: -19*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (30 - (77 - 37)) + 54\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-10 + -1 + (8 - -40) + -2)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 60712*u**3 - 2537 - 2*u**4 - 3183 - 58835*u**3 wrt u?\nAnswer: -8*u**3 + 5631*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-6)*-2)\/3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/42 - 8\/28\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*u**3 + 9*u - 9*u)*(2 - 3 + 6)*(2 + 2 - 3)*(6 - 5 - 3) as j + l*u**2 + n*u**3 + k*u and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 443 + -163. Does 16 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, 0.1, -18097, 0.4 in decreasing order.\nAnswer: 0.4, 0.1, 2\/21, -18097","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -214607 or 34?\nAnswer: -214607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 3*i + 18, 22*x - 4*i = 23*x + 5. Determine n so that -14\/15*n**2 + 2\/5*n**4 - 2\/15*n**x + 8\/15 + 2\/15*n = 0.\nAnswer: -1, 1, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*h + b = 45, -3*h - 4*b = -54. Let a = 22 - h. Let y = 14 - a. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 44526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 12:32 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7060, 7057, 7054, 7051, 7048?\n\"Answer: -3*h + 7063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k + 59. Let v be d(-18). Let l = 1.959 + 0.041. What is the smallest value in 4, v, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18*24\/504*-2)\/((-2*1)\/(-42)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*n - 2. Let j = -8 + 4. Let p be (-2)\/j*(8 - 2). Which is the closest to 1? (a) -0.04 (b) p (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46 + 51. Solve 7 = -4*s - l for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/10 of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/(733\/(-45446)) + (-3 - 0)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**3*p**2*w + 2*c**3*p - 155*c**2*p**2*w + 3*c**2*p**2 + 2*c**2*p*w + 774*p wrt p?\nAnswer: 2*c**3*w - 310*c**2*w + 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -323*v**3 - 320*v**3 + 642*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*q = 90, 131 = 5*s - 5*q + 2*q. Let m = 53 + -32. What is the smallest common multiple of m and s?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*l + 44*l - 34*l + 49.\nAnswer: 2*l + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (-17 + 31)) + (8 - 6).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 1*(sqrt(7) + -4))**2 - (sqrt(126) + -1*sqrt(126) + sqrt(126))\/sqrt(2))*-6.\nAnswer: -426 + 114*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/240 and (-4)\/(-14) - 705\/238?\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*l = -27*l - 40 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 100, -20, 5\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-5)*((-2)\/(-48))\/(342\/(-3078))?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -3*n + 55. Solve -2*v + n = -0*d + 3*d, 7 = 5*v + 3*d for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/40 - (72\/32)\/(-9)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -141. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z + 4. Let y be g(0). Suppose -y*f = -2*f + 2. Calculate the remainder when 31 is divided by (f + (-21)\/(-5))*5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318*w = 734 - 3525 - 11201 for w.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 6.4. Let x = n - -4. Let u = 0.59 + x. Round u to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 9:23 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/2*20\/10. Let x be 104\/(-24) - o*4. Which is the closest to x? (a) 0.2 (b) 23 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 2*y**3\/45 + 131*y**2\/15 - 268*y\/5 + 1423. Factor k(w).\nAnswer: 2*(w - 3)*(w + 134)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -5, -0.5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -234 + 199 + 0 + 1 + 12?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/18 + 235569\/1119960 and 143\/12.\nAnswer: 7320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggii. Give prob of picking 1 i and 1 g.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -79.282662 to zero decimal places.\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 32*k - 91. Determine p(-29).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-157803233.\nAnswer: -315606466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24833\/364 - 892\/13. Find the common denominator of g and -101\/238.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -30*a - 35. What is the units digit of n(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664.4081um in kilometers?\nAnswer: 0.0000006644081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.69 - 0.19. Let v = 0 - t. Which is the smallest value? (a) v (b) -1\/3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of q**4\/24 - q**3\/6 + 22*q**2. Let n be k(17). Solve -v + n = 3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 485\/6177, -3\/2 in descending order.\nAnswer: 485\/6177, 0, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12.9 + -38325930.645.\nAnswer: -38325917.745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5053188699?\nAnswer: 3, 13, 53, 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-4))\/((-1)\/(-2)). Let x = 7 + d. Let y(l) = -150*l - 272. Let o be y(-2). What is the highest common divisor of x and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -114910 + 114907. Let v be (-72)\/10*3\/(-6). Which is the nearest to 0.1? (a) l (b) -0.5 (c) v (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93\/805 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12021 is divided by 11958?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3302, -3560, -3814, -4064, -4310, -4552?\nAnswer: -4790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of t**7\/175 - 3*t**6\/50 + 4*t**5\/25 + 38*t**2. Factor g(x).\nAnswer: 6*x**2*(x - 4)*(x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 167, 329, 489, 647?\nAnswer: 803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 3 = 5*x. Let m be (-9)\/(-12)*(-2 - x). Put 1, m, 2 in descending order.\nAnswer: m, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12034, -12040, -12058, -12094, -12154, -12244, -12370?\nAnswer: -12538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 12. Suppose 5*x + b = -13, g*b + 2 + 6 = 2*x. Let h be 2\/x*2\/22*2. Is h at most as big as 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.188139 to 2 decimal places.\nAnswer: 30.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 3:36 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - -27. Let p = 45 - i. Which is the smallest value? (a) 0 (b) 3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from asssaaasssaassaasa.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4205*n**3 + 198230*n**2 - 198230*n**2 - 38223*n**3.\nAnswer: -34018*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 106 - 78. What is the highest common divisor of 70 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -24*5\/(-20)*(-3)\/(-6). Solve 2*y + w*d = 17, -2*y + d - 23 = -4*d for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 5. Suppose -l = m, -5*m - 29 = -3*l - 5. Which is the second smallest value? (a) 0.4 (b) l (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**3 + 3265876*x - 1632940*x - 1632936*x.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -8*d**2 - 6*d + 7. What is l(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 89343 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbxbtbbbb. Give prob of sequence bbx.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*y = 175. Suppose -168*q - 77 = -y*q. Solve -3*l = -14 + q for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (2 + -7 - (-5 + 6)) - -22?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -53469770*u**4 + 2*u**3 + 24258603*u**2?\nAnswer: -1283274480*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-1) + (-35)\/1. Let v = 37 + f. Which is the closest to v? (a) 0.3 (b) 1\/4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 2*w - 6*w)*(307*w - 673*w + 334*w).\nAnswer: 96*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, -176, -263, -348, -431, -512, -591?\nAnswer: -668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 405974683.3 rounded to the nearest 1000000?\nAnswer: 406000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44714250 and 2275.\nAnswer: 581285250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 9*r**2 - 9*r - 8. Let d be x(-8). Solve 4*m - 13 - 7 = d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = t - d, 3*t + 3*d - 8 = 2*d for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 57 + 2*u - 10 + 13 - 4 in the form d*u + y and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229 = -47*w - 5*w - 239 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 588 = 2*o, 2*o - 167 = 2*v + 397. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16616 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15750596 is divided by 2174.\nAnswer: 2140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000731009067 rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1134 and 13.843166.\nAnswer: 1147.843166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000 - 0?\nAnswer: -10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-46)\/4*(-227 + 225) - -18\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/7 + -15\/28. Suppose 0 = 3*j - j. What is the biggest value in c, 0.1, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 9*y + 12. Let r be t(10). Let v = -55\/28 + 9\/4. Solve 30\/7*p**r + v - 26\/7*p**3 - 2*p + 8\/7*p**4 = 0 for p.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2417938?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4686, 7873, 11060?\nAnswer: 14247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -5*r**3\/6 + 4*r. Let x(f) = 2*f. Calculate y(x(i)).\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11251\/156 - 930\/13. Let j(n) be the second derivative of 1\/6*n**3 + 0 - 9\/2*n**2 + 1\/20*n**5 - f*n**4 + 7*n. What is j(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3 - 8 = -5*n, -4*w = -5*n + 5. Let m be ((-1)\/(-8))\/1*-2. Is m <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/5 + 63\/((-3024)\/(-32)) + 5831\/(-3990).\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from tqttfffmmftmfqqttlrr?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - 13) + (-42 - -6) + -11.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20021*a**3*g**3 - a**3*g**2*o**2 + 161936*a**3*g**2*o - 4*a*g**3*o**2 + 2*a*g**2*o**2 wrt g.\nAnswer: -120126*a**3 - 24*a*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1398879?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -70 != 273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(3 + 3))\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97807 is divided by 2064.\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 10*k**2 - 11*k - 4. Let z be c(-11). Let p be (-2 + -2)*2\/z. Solve j = p*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-42))\/(3\/((-18)\/4))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 560893 is divided by 191?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 897*v - 14346. Determine f(16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 479 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -9) + -468 + 465\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-20) - (-2 - (-597)\/(-15)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03*-1.102\nAnswer: 0.03306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 207700771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -469444*g**2 + 102*g - 555?\nAnswer: -938888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((50220\/300)\/(-31))\/((-16)\/20)\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3*h**2 - 2*h**2 + 1.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 3*b**5\/20 - b**4\/2 + b**3\/2 + 5*b. Factor u(a).\nAnswer: 3*a*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -67.99 times 0.25525\nAnswer: -17.3544475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 5*j**2 + 4. Let b be i(-5). Let w(g) = -g**3 + 4*g**2 + 4*g. Let o be w(b). Suppose -34 = -5*n + o. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*f**2*y**3 - 4153011*f**2*y**2 + 21808*f*y**5 wrt y?\nAnswer: 174*f**2 + 1308480*f*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 12:12 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2788171 and 6572?\nAnswer: 1643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 385+1489890\nAnswer: 1490275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24576*z**2 + 393219*z - 48.\nAnswer: -3*(z - 16)*(8192*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2750 = 6*y + 2696 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 852b5348 + 4?\nAnswer: 852b534c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 1:30 AM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 151 - 43. Let v be (4\/(-4))\/((-3)\/k). Is ((-62)\/(-4))\/(6\/v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -x**4\/4 + 10*x**3\/3 + x**2\/2 - 11*x - 3. Let z be h(10). What is the third smallest value in z, 0.2, 2\/15?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23056556 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*x - 38*x + 61*x = 1160 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8119985 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -238 - 5.45742.\nAnswer: -243.45742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 3*d = 10, 6*p - 2*p + 5*d + 28 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -1106*y + 7. Let k be m(2). Suppose -8720 = -3*t + 5*t. Let r = k - t. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -198 - -192. Put x, -4, -1, 5 in decreasing order.\nAnswer: 5, -1, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 238*y - 117*y - 121*y - 2*y**2. Let p(k) be the first derivative of 10*k**3\/3 - 2. Calculate p(c(w)).\nAnswer: 40*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (139\/(-14) - -10)*(-7 + 1069) + (-12)\/(-84).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 26*l - l**3 + 10*l**3 + 324*l**2 - 335*l**2 + 3 - 3*l**3.\nAnswer: 6*l**3 - 11*l**2 - 26*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 34*p**3 + p**2 - p. Let v(a) = -a**3 + 4*a**2 - a + 5. Suppose -4*w = -8 - 0, q - 4*w + 4 = 0. Let s be v(q). What is the tens digit of c(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*j + 3*j - 3*j)*(-4 + 3 + 4 + 2*j**2) as p*j**2 + q*j + w + n*j**3 and give n.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 9*d**2 - 10*d + 7. Let k be w(-10). Suppose -5*p = -k + 17. Sort 4, p, 1 in descending order.\nAnswer: 4, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1402 + 2242. Is u even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q**3 + 48*q**2 + 4063*q - 48886. Determine o(12).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*-3 - (-77)\/28. Let m = -17.7 - -16. Let j = m + 2.1. What is the nearest to c in -1, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 7*k + 4. Suppose 6*y - 251 = -269. What is x(y)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 328?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 less than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -3845a?\nAnswer: 38459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/9)*c)\/c)\/c**(-1)*(c**9\/c)\/(c**9\/c) assuming c is positive.\nAnswer: c**(7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13069 is divided by 396?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123 - 2*s**2 + 115 + 2*s**2 - 236 + 3*s**2.\nAnswer: 3*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 57\/2 of a microgram?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -50398262038 + -4\nAnswer: -50398262042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 880*n**2 - 40*n + 42*n - 2*n as a + o*n + d*n**2 and give d.\nAnswer: 880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 12 = -3*f - f, 4*f - 2*g - 16 = 0. Suppose -3*b - 4*s + 66 = -b, -3*s - 100 = -f*b. What is the greatest common divisor of 46 and b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 4 - (-1 - (-6 + (-6 - -10))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 6 = -u. Suppose -l = -6*l - 5*o + u, -o = 3. Solve 10 = -3*d - 2*s, 9 = 2*d - 3*s - l for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 4*v + 96, 3*j + 5*v = 6*v + 59. List the prime factors of (8\/j)\/((-4)\/(-1820)).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**3 + 0*d**3 - 7*d**3 + 20*d**3 + 0*d**3 - 11*d**3.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 + -43. What is the hundreds digit of (204 - g)*(-12)\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -141 + 291. Let t(l) = 73 - w - 4*l + 77. Let b(i) = 20*i**2. Calculate t(b(h)).\nAnswer: -80*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s + 1. Let p be m(-1). Calculate the least common multiple of p + (-2)\/4*-22 and (55\/165)\/(2\/60).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 10 + 15)*(1 - 2 + 4)*(0*f + 0*f - 2*f) - 2*f - f + 5*f to the form p*f + j and give p.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zdzzzddddzzzzddzzdd. What is prob of sequence dzd?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3694 - 1416 = 0. Suppose u = 14*v - 1463. List the prime factors of v.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 11. Let f(v) = 10*v - 9*v + 11*v. Is 12 a factor of f(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - -2 - (-11 - (-11 + 0)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 190 = -r, 0 = -2*r - 2*r - 4. Let c be n\/(-14)*(-2)\/(-3). Solve -2 = -t - 4*v - 10, -5*v = c*t + 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 10*p**3 + 85*p - 5. Let b(q) = 12*q**3 + 83*q - 4. Determine 4*b(l) - 3*u(l).\nAnswer: 18*l**3 + 77*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*m**3 + 324891*m**4 + 88*m**6 + 454*m**2 - 324891*m**4 wrt m.\nAnswer: 10560*m**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11160 and 9621160.\nAnswer: 86590440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/4 - 3875*s + 15015625.\nAnswer: (s - 7750)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1541 bigger than -20040\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 29 + -1 - (-9 + 13 + 8).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 337729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -55\/53172?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-6))\/(2 - 1). Let x = 12253\/55 - 1113\/5. Sort y, x, -5, 1\/5 in increasing order.\nAnswer: -5, y, x, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2202513232 to the nearest integer?\nAnswer: 1301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(7) - sqrt(175))**2*5 - sqrt(7)).\nAnswer: -2240 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(190)*-2 + sqrt(190)) - sqrt(190)) + sqrt(190) - sqrt(190))\/(sqrt(10) - (sqrt(10)*1 - sqrt(10))*1).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a kilogram in grams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r + 3*r - 58 - 3*r + 60. Let z(y) be the first derivative of 5*y**2 - 3*y**2 + 5 - 6 - 4*y + 2*y. Give 3*x(w) + 2*z(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g*o**5 + 6*g*o**3 - 13*g*o**2 - 4*g*o - 5*o**6 wrt o.\nAnswer: 120*g*o**2 + 36*g - 600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -24\/143, -3, 6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 176 and 137512.\nAnswer: 3025264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**2 - 4*w - 16 + 5*w - 23 + 5*w**2 - 5*w**2 in the form f + t*w + s*w**2 and give f.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 5*f. Let q be l(-6). Is 112\/6 + q\/(-18) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*p - 43*p + 14*p + 15*p + 7 to v + s*p and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21584560 by 253936.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3921*c**2 - 19*c - 20. Let n(q) = -3925*q**2 + 17*q + 18. Calculate -10*n(i) - 9*o(i).\nAnswer: 3961*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7, -2, -21, -56, -113, -198, -317, -476?\n\"Answer: -b**3 + b**2 - 5*b + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7304076.\nAnswer: 2, 3, 13, 15607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5153844020 rounded to the nearest 1000000?\nAnswer: -5154000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u - 6*c - 135, 3820*u - 2*c - 39 = 3823*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -4*q - 0. Let y = q + 12. Let s be -14*(y - 23\/7). Solve -3*c + 2*a + 2 = 0, -4*c + s*a = 5 - 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -k**5\/60 - k**4\/2 - 5*k**3\/6 - 5*k**2. Is 10 a factor of m(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12036b0 (base 14) to base 7\nAnswer: 133136610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2002249129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**3 - 369*i**2 + 15258*i - 29016 = 0. What is i?\nAnswer: -156, 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44512823.\nAnswer: 317, 140419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/75)\/((-3)\/(-5)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, d: 5, f: 1, y: 6, z: 5}. Give prob of picking 1 y and 1 s.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 180, 186, 192, 198?\n\"Answer: 6*m + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 25430, 25453, 25482, 25517, 25558?\n\"Answer: 3*w**2 + 14*w + 25413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cbwwcccccccccwcccccc?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 88*n + 1204. Let u be p(-14). Sort u, 1, 3\/62 in descending order.\nAnswer: 1, 3\/62, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*y - 44. Let o(u) = 0 - 6 + y - 7 + 3*u. What is o(8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2\/7 + 232436928*p\/7 + 3376682843629824\/7.\nAnswer: 4*(p + 29054616)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -229703 + 89\nAnswer: -229614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10311.28473 * -0.4.\nAnswer: 4124.513892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-13)\/(130\/(-165))*10. What is the highest common factor of 375 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, l: 1, q: 1, j: 2, x: 1, e: 1}. What is prob of sequence qj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -2484558?\nAnswer: -4969116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 514*w - 519*w + 180 = 0. Which is the third smallest value? (a) 1\/11 (b) w (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -209 - -245. Suppose -6*j + s*j = -210. Put -1, j, 4 in decreasing order.\nAnswer: 4, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -178 + 174. Let x = -4.92 - 0.08. Which is the third smallest value? (a) x (b) 5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 4*o = -124, -19525*o + 19520*o + 85 = -3*g for g.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -11\/6 (b) -3 (c) 0.63 (d) 0.4 (e) -3\/7 (f) 0.058\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1768708*a - 2*a**3 - 1768708*a.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2179*g**2 - 562*g**2 + 1638*g**2 - 984*g**2 + 1527*g**2)*(-g**2 + g**2 + 2*g**2) to the form y*g**2 + f*g**3 + p + b*g + d*g**4 and give d.\nAnswer: 7596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -12*w. Let a(x) = 17*x - 115. Determine a(l) + 2*h(l).\nAnswer: -7*l - 115","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 3*l**2 + 4*l + 2. Let p be t(4). Suppose 5*n - 3*n - p = 0. Let x be 8\/(-7) - (-3)\/3. Which is the biggest value? (a) x (b) n (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (19 + 0 - (2 - -5) - -14).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6081 - -12163\/2. What is the biggest value in d, 0, -0.2, 0.09, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 3*b - 4*s, 3*b + 4*s + 37 - 45 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0 - (13 + (-19 - -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*k + 2. Suppose -k*f + 6*f = 11. Let r(z) = z**3 + 8*z**2 + 8*z - 5. What is the remainder when r(-6) is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of r**5\/15 - 5*r**4\/24 + r**3\/6 + r**2\/12 + 2*r - 294. Factor q(u).\nAnswer: (u - 1)**2*(8*u + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7213?\nAnswer: 7213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -0.013, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -301.9 - -300. Let p = 103.1 - 99. Let r = p - 0.1. What is the biggest value in r, 2, w, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1686)\/4496)\/((-6)\/(-112)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b**3 + 3*b. Let o(n) = 6*n**3 - 5*n. Let w be 48\/14*-14*3\/(-6). Suppose 10*p + 26 = -w. What is p*x(s) - 3*o(s)?\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Sort -79, -45, -0.1, -1\/15, 0.2 in decreasing order.\nAnswer: 0.2, -1\/15, -0.1, -45, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3534.\nAnswer: 2, 3, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 - -30. Is x at least as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9961, 40814, 92565, 165220, 258785, 373266, 508669?\n\"Answer: t**3 + 10443*t**2 - 483*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**2\/6 + 10517*k\/3 = 0.\nAnswer: 0, 21034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00222612 to 5 decimal places.\nAnswer: 0.00223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i - 15. What is j(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -140 (b) -0.5 (c) 6\/11 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 c, and 1 f when four letters picked without replacement from ycfccccyfkyycyf.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 7*n**3 + n. Let q be (-5)\/(-3) + 1\/3. Suppose 0 = -s - 5*r + 6, 4*s + q*r = -r + 7. What is the units digit of c(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3631, -7098, -10565?\n\"Answer: -3467*y - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -488403*-0.4\nAnswer: 195361.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/30 and -91\/338420.\nAnswer: 1015260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7349011, 14698020, 22047029?\nAnswer: 29396038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - x = -3, 2*x - 5 = t + 4*x. Suppose 10 + 20 = -6*k. Sort k, t, -2.\nAnswer: k, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*s**2 - 42*s + 22*s + 19*s - 7*s**4 + 0*s**4 - 16*s**4 in the form g*s**4 + k*s**3 + r + o*s**2 + m*s and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-79 + 45220\/475)\/((-6)\/10)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18627 - 18630. Let f be 18\/15*10\/(-2). Let t be 1 + (f\/(-9) - 1). Which is the third smallest value? (a) w (b) t (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/330*53715\/(-39391).\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - w + 10. Let c be (72\/(-5 - -1))\/(-2). Let o be k(c). Suppose 2*z = -g + 82, -2*z + 0*z + o = 3*g. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -789215, -789168, -789121?\nAnswer: -789074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2.62 times 0.3976\nAnswer: 1.041712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**3 + 32*m**2 - 23. Let b be i(16). Suppose 0*a - 80 = -2*a. Let u = b + a. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61 + 77. Let i = u - 14. Solve -i*y + y = -4*w, -3*w - 11 = 2*y for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2466918 divided by 6.\nAnswer: 411153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of 11*r**6\/12 + 389*r**5\/60 + r**4\/24 + 182*r**2. What is the third derivative of w(p) wrt p?\nAnswer: 660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 846 + -657. Solve 190*i - w*i = -4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50075 = b - 5*h, -2*b + 5*h - 150275 = b. Round b to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, u: 3, y: 3, z: 9}. What is prob of picking 2 z and 1 u?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.08 - 0.63. Round d to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30 - 3 + 33*z**2 + 17*z**2 - 7 wrt z.\nAnswer: 100*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/30 and ((12950\/(-120))\/(-37))\/(1\/2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 518 and 21211841?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 3. Let l be y(4). Let g = l - 7. Suppose g*w - w + 56 = 0. What is the greatest common divisor of 8 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, -0.141, 0?\nAnswer: -0.141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) 4\/7 (b) 15592 (c) -17\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 95760 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -199000 - -414911. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 76.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, -5, -0.02, 0.1, 1?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjpjpjjj. Give prob of picking 3 j and 1 p.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(8) + sqrt(288) + 2 + -4)**2.\nAnswer: -72*sqrt(2) + 652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25.667 + 5.\nAnswer: 30.667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**2 - q**5 + 0*q**2 - 7 + 7 + 2*q**5 + (2*q - 2*q + 4*q**4)*(q + 4 - 4).\nAnswer: 5*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k**3 - 3*k**2 - 8*k - 11. Let w(t) = 2*t**3 + 3*t**2 + 7*t + 10. Let x(o) = -4*w(o) - 3*z(o). What is the tens digit of x(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -104480763*r**3 + 25*r + 302641 wrt r?\nAnswer: -626884578*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*j)*(j + 6*j + 0*j + (-4 + 3 + 0)*(-4 + 4 + 2*j) + 2*j + 4*j - 5*j + j - 3 + 3).\nAnswer: 21*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/3)\/(2\/2)*((-24)\/(-15))\/8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-357*c + 133*c + 147*c + 148*c + 16)*(0 - 1 - 1) to the form h + o*c and give o.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**2 + 3*z**2 + 0*z**2 + (-3 + 4 + 3)*(-3*z**2 + 4*z**2 + z**2).\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 14\/19*g**3 - 36\/19*g - 2\/19*g**5 + 0 - 30\/19*g**2 + 6\/19*g**4 = 0.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 0*w + 1 - w + 2*w**2 + w**2. What are the prime factors of o(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of q**5\/60 + 3*q**4\/8 + 5*q**3\/6 + 2*q**2. Is 15 a factor of x(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -495 + 501. Suppose -24 = -2*c - 2*m - 2*m, -2*m - 8 = -4*c. Suppose -6*k = -c*k - h. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/3 of a decade in months?\nAnswer: 2560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, e: 9, v: 3, t: 3}. Give prob of sequence evve.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 10 - 5 + 2*z - 5. Give g(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a + 1. Let m be l(2). Let w be (0 - m) + -3 - -5. Suppose w*z = 5*z - 78. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 6*f**2 - 2*f + 231. Let u(d) = 2*d**2 - 7. Determine j(y) - 4*u(y).\nAnswer: -2*y**2 - 2*y + 259","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 90?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2 = 4*l, -2*g - 5*l = 3 - 17. Solve -g*z + 3*z + 4 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*(-1 - 4\/(-8)). Suppose 6*x + 0*x - 90 = l. Is x a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.2 (b) 4.57 (c) 0.4 (d) 0.3 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 94*h - 704. Let w be x(8). Solve w = 4*a + 52 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 9*y**3 + 6*y**2 + y. Let w(h) = -4*h**2 + 3*h**2 - 4*h**3 + 3*h**3. Let f(m) = -5*p(m) - 40*w(m). Solve f(b) = 0 for b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l**(-1\/3)\/l))\/l)\/l)**(-5)*(l*l\/l**0)**(-3\/4))\/((l*l**(3\/8)*l*l**5\/l)\/((l\/((l*l*l**7*l)\/l))\/((l**(-3\/4)*l)\/l))) assuming l is positive.\nAnswer: l**(-403\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -84 divided by -3185\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 3) to base 7\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 5*q**2 - 84085*q + 160538580 = 0.\nAnswer: 2196, 14621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/((-91)\/42))\/(7 + (-518)\/77).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.046 - 2.47023. Let z = -106.574 + 107. Let p = z + f. What is p rounded to 4 dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*d + 2. Let b(a) = -5*a + 0 - 2*a - d + 5. Let s(n) = n - 1. Calculate -b(k) - 6*s(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7\/(-21))\/(2\/(-72)). Solve 0 = -3*j + 3 - l for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5 + b + b + 9 - 11*b. Calculate the remainder when 63 is divided by f(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 46*s**3 - 11*s**2 - 26*s + 162. What is the thousands digit of f(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 989393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-345)\/92)\/(30\/(-12))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 + 4*p**3 + 2*p**3 + 3*p**2.\nAnswer: 6*p**3 + 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pr when two letters picked without replacement from {p: 1, r: 2, l: 1, w: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 168*x**2 - 6*x**3 - 4*x**4 - 10 + 2 + 171*x**2 - 337*x**2 as d*x**4 + s*x**3 + m*x + p + t*x**2 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4557 - 4557 + 9110 + 40*d)*(3 + 4 - 5*d + 7*d).\nAnswer: 80*d**2 + 272*d - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/8 (b) -10 (c) 12 (d) -3 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*s + 281701 + 276856 + 78811. Is s a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -5. Sort v, -1\/4, -4 in descending order.\nAnswer: -1\/4, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147383.\nAnswer: 19, 7757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 373 (b) -0.4 (c) -1\/3 (d) 3 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2 = 2*q, -2*a + 10 = -q. Sort 0, a, 3, 5.\nAnswer: 0, 3, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -8. Let i(v) = -3*v**2 + 4*v. Suppose 4*x - 1 = 3*x. Let o(n) = -1. Let g(d) = x*i(d) + y*o(d). Solve g(l) = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*r + 3*r = 60 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1312 + -271?\nAnswer: 1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(22)\/sqrt(2) + -2)**2.\nAnswer: 20*sqrt(11) + 279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 21 = -3*a, -400*a + 396*a - 8 = -2*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2516, 3, 11, -24, 0, -13 in increasing order.\nAnswer: -24, -13, 0, 3, 11, 2516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence prr when three letters picked without replacement from fpppfpprpprrrprrp?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-1))**(1\/24)*(a*a*a*a*a**(-3\/7))\/(a*a**(-3\/2)))**47)**(-15\/7) assuming a is positive.\nAnswer: a**(-40185\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**2 + 680*h + 3. Let t(n) = 147*n. Give t(u(j)).\nAnswer: 441*j**2 + 99960*j + 441","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*o**3 - 31*o**3 - 277*o**3.\nAnswer: -401*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 183943*u**5 + u + 22115?\nAnswer: 3678860*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/((-4)\/(-24)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4958015 is divided by 936?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 270\/(-24)*(40\/35)\/((-30)\/35)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 7 = 2. Let i(a) = -4*a**2 + 7*a - 7. Let l(q) = -2*q**2 + 8*q - q**2 - 2*q - 6. Determine k*i(b) + 6*l(b).\nAnswer: 2*b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 38778 a multiple of 562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -w**5\/10 - 770*w**2. Let i(b) = -30*b. Give o(i(v)).\nAnswer: -5400*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -102 + -9131?\nAnswer: -9233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1894 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -879600 rounded to the nearest 10000?\nAnswer: -880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j. Let i(p) be the first derivative of 3303*p**2\/2 + 398. Give h(i(z)).\nAnswer: 3303*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 - 24. Suppose -q - 90 - 15 = 0. Let k = v - q. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7234947\/115 - -62913. Let z = -2\/115 + d. Which is the third biggest value? (a) -5\/4 (b) z (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**2 + 54*j + 3. Give x(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.808538 litres to millilitres.\nAnswer: 3808.538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v + 2. Let c be a(-2). Suppose c*j = -4*j. Is j less than or equal to -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2140 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199 is divided by 66.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v = 3*j + 5*v - 12, -2*j + 3*j - 22 = -5*v for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**2 + 1320*f + 11961 = 0.\nAnswer: -9, 1329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - -0.1. Let f(p) = 9*p - 15. Let v(k) = -5*k + 8. Let q(i) = -4*f(i) - 7*v(i). Let n be q(4). Sort n, -3, t.\nAnswer: -3, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcvvcvc. What is prob of sequence pp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tlcluuqltvlu. What is prob of sequence uulq?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 211 and 506189?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*o - 200084 = 0, c = -306*o + 308*o + 50011. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.960001342 - -7.96. Round p to 7 decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30699)\/(-50028)*24\/9\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 124 + -316. Let z = 1501 - b. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -892 + 897. Solve 5*g = -4*l - 21, 4*g + 15 = -4*l + d*g for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2 - 1 - 2 + 7*l**2 + 12*l**2 + 4*l to f*l + z*l**2 + h and give z.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10680 is divided by 281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 112920684.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 9:15 AM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -4, 26, 678, 4, 3.\nAnswer: -4, 3, 4, 11, 26, 678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 661747 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: Calculate the remainder when 1228673 is divided by 59.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -8459*c - 76044. Determine g(-9).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5190*y**2 - 3*y**4 + 38*y - 84*y - 618*y**2 - 264*y**3 + 46*y = 0. What is y?\nAnswer: -44, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5961 = l - 11183, -4*x - 16 = 0. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b + 3. Let i be n(6). Let y be 13\/4 + i\/12. Suppose -1 + 7 = y*j. What is the smallest common multiple of j and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 6672?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 25\/5*2\/5. Suppose 54 = h*z - 0*z. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15010 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/483 or 10\/3?\nAnswer: 2\/483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 1:03 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010010110000 + -1101?\nAnswer: -10010010111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/4)\/((-9)\/(-576)). Calculate the common denominator of 103\/6 - (-1 - 0) and (2*(-202)\/h)\/(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4 = -1. Let t = 2 + 0. Suppose -t = -i + k. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 e, and 1 v when three letters picked without replacement from eervjrvvjjseovso?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*r**5 + 1065536*r**3 + 139820*r**2 - 3*r?\nAnswer: -180*r**2 + 6393216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h + 24. Let u(w) = w + 7. Suppose l - 6*l = -90. Let q(d) = l*u(d) - 5*x(d). Suppose -20 = 4*n - 4*f, -6 + 0 = n - 2*f. Determine q(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -54*f**2 + 120578*f\/7 + 1276\/7.\nAnswer: -2*(f - 319)*(189*f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -988 - -2912\/3. What is the common denominator of -71\/3 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261034 is divided by 40.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -432, -3, -8 in ascending order.\nAnswer: -432, -8, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1014 is divided by 507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-132))\/((-1975)\/275 - -7).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 9*v + 25*v - 3654 = 0. Calculate the least common multiple of 140 and v.\nAnswer: 4060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56736.\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*g - 126 = 0. Suppose k - 52 = g. Is k a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1602, 12896, 43556, 103266, 201710, 348572, 553536?\n\"Answer: 1614*l**3 - l**2 - l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3*t + 126 = 0, -2*u + 6*u - 165 = -t. Suppose 5*q = u + 39. What is the smallest common multiple of q and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89 + -37 + -2 + -10 + 1 + -4.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 165184, 330367, 495548, 660727, 825904, 991079, 1156252?\nAnswer: 1321423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 48*j - 405 = 3*j for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000186126 to 6 decimal places.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 110 + 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 1, -52\/5, -5, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 594030 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: Simplify ((sqrt(76) + sqrt(76)*2 + sqrt(76))*5)\/(-4*sqrt(8)\/sqrt(2)).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -11*x + 19*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21 or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1 + 2 - 2 - 2 + (-4 + 3 - 2)*(5 + 2 - 5) + 5 - 2 - 4 - 1 + 0 - 3)*(z + 2*z**3 - z).\nAnswer: -24*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 >= 340?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -d**3\/3 - 3*d**2 - 4*d + 2. Let i be u(-5). Let z(k) = 11*k**3 - k + 1. What is the tens digit of z(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*g + 2*g - 5*p, 5*p = 4*g - 28. Solve 0*h - h = g for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197*x - 202*x - 2*o + 36 = 0, 3*x - 2*o + 4 = 0. Solve -24 = 3*p + x*i, -2*p + 31 = -6*p - 5*i for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 330687?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 411?\nAnswer: 40b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 7*g + 6. Let z be u(-8). Let w = -16.7 + 16.9. Let v = 12 - 11.7. Which is the nearest to w? (a) z (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4104, -4, -5, 0.046 in increasing order.\nAnswer: -4104, -5, -4, 0.046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16026681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 521439 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3078*q + 47245 = -3349 - 94072 for q.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 22, 22, 12, -14?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l + 8*l = -84 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 126 + -3025458?\nAnswer: -3025332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v - 9. Let r be y(-3). Suppose q - 2 = r*q. Let s(x) be the first derivative of x**2\/2 + 10. Give s(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(104) - sqrt(104))*-6 - -1*2*sqrt(104))\/(sqrt(72)*-1*2).\nAnswer: -10*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 265096519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 233500 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7552430 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 20*z. Let v(p) = -59*p. Let t(m) = 3*v(m) + 8*y(m). Let l(o) be the second derivative of 0*o**2 + 2 + 45*o + 1\/3*o**3. What is l(t(r))?\nAnswer: -34*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 7*x**2 - x. Suppose -4*z = i - 0*z - 1, 4*i - 18 = -2*z. Calculate the lowest common multiple of u(-1) and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 120437 + -5155?\nAnswer: 113262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 8:41 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 9*d + 7. What is u(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 2. Suppose s - 9 = -5. Suppose s*f + 0*f - 40 = j. Solve b - f = -b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2968217 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 12) + -5 + 17 - (-2 - -10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 - 2a198913?\nAnswer: -2a198902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 15) in base 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 9*v**2 + 2*v + 33. Let d(j) = -9*j + 1. What is d(z(t))?\nAnswer: -81*t**2 - 18*t - 296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 6*j**2 - 7*j + 1. Let g be w(-6). Suppose -20 = 4*b, 0 = 4*x + 3*b - 0*b + g. Let s = 32 + x. Solve -s = 2*z - 7*z, 0 = -5*o - z + 15 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 5728*v**2 + 5730*v**2 - 34.\nAnswer: 2*v**2 - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -13. Let u(l) be the first derivative of 1 + 0*l**4 + 0*l + l**3 + 1\/5*l**5 + m*l**2. Find the third derivative of u(k) wrt k.\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - f - i = 402, 0 = 2*f + i + 162. Let c = 39 - f. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 159 + -559. What is the tens digit of (-1 + -1 + c\/4)*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a + 1. Let l(s) = s + 3. Let i(p) = l(p) - 2*y(p). Let q be (3 + 137)*156\/4368. Determine i(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6986 is divided by 163?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(204)*-1 + (sqrt(204) - 3*(sqrt(204) + sqrt(204)*-1) - sqrt(204)))\/(-6*(sqrt(144)\/(sqrt(36)\/sqrt(3)) + -2*sqrt(588))))**2.\nAnswer: 17\/676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14145, 56584, 127315, 226338?\n\"Answer: 14146*z**2 + z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddx when three letters picked without replacement from {x: 1, d: 7}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 828 - 404. What are the prime factors of v?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 6*l - 4. Let b be c(-3). Suppose -b*k + 10 = y, -2*y - 7 = -5*k - 27. Calculate the greatest common factor of 5 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 25953960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 764*i + 380*i + 3705*i + 4295*i.\nAnswer: 9144*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (207526\/(-33))\/((10\/(-900))\/((-6)\/(-4))). Round t to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wvhh when four letters picked without replacement from gvwzhhgzzzh.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 23 + 28. What is the remainder when 16 + -13 - (-62 - 0) is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5708 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52848 - 4665280.\nAnswer: -4718128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a - 1b?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 150 (b) -1 (c) -2\/9 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17392452 = 201*a + 338*a. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 - -27. Solve -23 = w + 5*y, -w - u*y = 4*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 6. Let y(n) = -n**3 - 8. Determine -4*a(k) - 3*y(k).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*d - 11*d**5 + 3*d**5 - 38*d**5 - 18*d**5 wrt d.\nAnswer: -1280*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*q**2 + 7*q**2 + 8*q - 4*q**3 - 6 - 2*q**2 wrt q?\nAnswer: -24*q + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (3 - 4) - -4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 315 - t**4 - 403 + 2*t + 2*t**2 + t**3 - 4*t**2 + 237 as d*t**4 + o + y*t + l*t**3 + z*t**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from clryyyyylyyllrvrlv. Give prob of picking 1 y, 1 l, and 1 r.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 11*n**2 - 14*n - 19. Let x be z(-10). Let i = -10 + x. What is the second derivative of -2*b**3 + 31*b - i*b - 13*b - 7*b**3 wrt b?\nAnswer: -54*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*-2*(-21)\/(-12). Suppose -i + 58 = 3*d, -2*i - 24 = -5*d + 4*d. Suppose -z*s + 4*s + d = 0. Solve -3*x + 2*o = -13, -7*x + s*x + 13 = o for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u - 4, 6 = -88*z + 84*z - 5*u for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2043303313 - -2?\nAnswer: -2043303311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3*10\/30))\/(0 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (64\/96)\/(4\/243*18)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b1 + 9dcf?\nAnswer: 9d1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-20)*2*10)\/(-22)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32689*i**5 + 9*i**2 - 693*i?\nAnswer: -1961340*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 - -0.8. Let o = 0.265248 + -0.295248. Which is the nearest to x? (a) 0.5 (b) 2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4188689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -27*n**3 - 2*n**2 - 19*n. Let l(m) = -134*m**3 - 11*m**2 - 96*m. Let x(f) = 11*d(f) - 2*l(f). What is the second derivative of x(h) wrt h?\nAnswer: -174*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 374 - 371. Suppose -7*l - 23 = -2. Let h be (0 - 10)*(-1)\/(-2). Put -1, d, l, h in descending order.\nAnswer: d, -1, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2581\/21 - -123. Which is the nearest to 2\/5? (a) -5\/6 (b) v (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(51)\/sqrt(3) + -3)*6)**2.\nAnswer: -216*sqrt(17) + 934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 27 - (-2 - -3) - 5) + -2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0*q = -9. What is the least common multiple of q and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 111886*m + 641*m**2 - 111886*m - 3*m**2 + 0*m**2 + 2*m**2 + (-3 + 3 + 2)*(2*m**2 + 3*m**2 - 3*m**2) to the form o*m + l*m**2 + i and give l.\nAnswer: 644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 - 6*d. Let p be t(3). Let m be (-1)\/3 + 4\/6. Is m at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.3 - 53.7. Let w = 71.04 + m. Let b = w + -0.04. What is the nearest to -0.1 in 4, b, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**9\/40320 - k**7\/1120 + k**6\/240 - k**5\/3 + 29*k**2. Let l(v) be the third derivative of o(v). Suppose l(r) = 0. What is r?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 90*y - 90*y - 1 - 2*y**2 - 14*y**2 - 17*y**2 + 0*y**2 + (-3*y + y + 0*y)*(2*y - 2*y + 2*y).\nAnswer: -37*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0031912466 rounded to 5 dps?\nAnswer: -0.00319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 6*r**2 + 2*r + 9. Suppose 6*g = g - 30. Give t(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -d (base 14) to base 3\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1705.6812?\nAnswer: 1705.6812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h - 4*h - 2*h)*(-912384 + 8*h**4 + 912384 + 81*h**3) + (h + h + 0*h)*(-1 - 2*h**4 + 1).\nAnswer: -12*h**5 - 81*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*-2)\/sqrt(7) + sqrt(99)\/sqrt(144))**2*-6.\nAnswer: -1617\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 142383331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -34 and -0.023.\nAnswer: 0.782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -0.10849517763.\nAnswer: -0.20849517763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 4\/9, -1524?\nAnswer: -1524","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2811110 and 2507?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 73621791.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.69628 millilitres in litres?\nAnswer: 0.02769628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.70897 - 0.153.\nAnswer: -9.86197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*g + 2*j - 408 = 52*g, 0 = -g - 2*j - 82. What is the biggest value in g, -2, 2, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of b**2\/2 - 4*b - 1. Let x(u) = u**3 - 12*u**2 + 10*u + 13. Let f be x(11). What is l(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 21*r**3 + 9. Let w(j) = -7*j**3 - 2. Let s(o) = 8*o**3 + 2. Let n = 18 + -20. Let u(q) = n*s(q) - 3*w(q). Calculate 2*m(l) - 9*u(l).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 3*j**4 + 316938*j**3 + 6971361*j**2 + 18695562*j + 12041136 = 0.\nAnswer: -105624, -19, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6\/8 - 150314\/(-136)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fourty-two fifths of a millisecond?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -2*i**3\/9 - 14*i**2\/3 + 10*i + 4. Find k, given that o(k) = 0.\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 836*b**3 - 388*b**3 - 446*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3245 + -3175. Let f be (-14)\/(-3) + (-2)\/(-6). Calculate the greatest common factor of k and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -y**3\/3 + 17*y**2\/2 + 21*y. Let f be b(10). What is the remainder when 22*f*(16\/12 + -2) is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.1, -0.06, -2\/9, -151, -2, 0.2?\nAnswer: -151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 274*a**3 - 3*a**2 - 8. Let k(f) = 272*f**3 - 2*f**2 - 8. Calculate -2*d(g) + 3*k(g).\nAnswer: 268*g**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39*k*y**4 + 14*k*y**2 - 165*y**4 + 169*y**2 wrt y.\nAnswer: -936*k*y - 3960*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 4*r + 5. Let s be n(-3). Suppose 27 = 7*b - 2*b - 3*y, -s*b + 7 = -5*y. Calculate the common denominator of (-475)\/(-110) + b\/33 and -8\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**2 - 14*c - 1. Calculate d(-10).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110011 - -12?\nAnswer: -102222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5404.882ml?\nAnswer: 5.404882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(8)*2 - sqrt(2)).\nAnswer: 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1711*c + 1 + 1711*c - 1 + 3*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 23*d + 384. Let q be g(-17). Let m(b) = 5*b. Give m(q).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -12. Let z = -3.5 - n. Let p = 2 + 3. Which is the closest to -1\/3? (a) -0.5 (b) p (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -12\/55?\nAnswer: -12\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 5:09 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11.078 - 39\nAnswer: -27.922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247462533 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q + 7. Let w(p) = -28 - 14*p + 8 + 0. Let v(i) = 17*j(i) + 6*w(i). Calculate v(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -31, -21, 15, 89, 213?\n\"Answer: 2*d**3 + d**2 - 7*d - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*p = 249*p - 2454852. What are the prime factors of p?\nAnswer: 2, 3, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.73 - -1.13. Let t = 8 - 15\/2. Which is the third smallest value? (a) f (b) 2\/9 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14581.72838 rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -21 - ((52 - 1) + -6 + 6) - 10.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 2*y - 5, 0 = 4*f + y + 4 + 7. Let k(r) = -7*r + 5. Let n(x) = -x + 1. Let a(w) = -k(w) + 6*n(w). Calculate a(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**2 - 470*f + 20981. Give n(41).\nAnswer: -1651","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 5*j**2 - 8)*(-3*j**3 + 5*j**3 - j**3) - 3*j**5 - 2*j**5 + 3*j**5.\nAnswer: 3*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000109959995 to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 123?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 5:17 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1431748969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16\/(-84))\/((-2)\/(-3)). Let n = 0.016 + 4.984. Which is the closest to -1? (a) 0.2 (b) n (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((9*d + 4*d - 6*d)*(1 - 3 + 0) + 2 + d - 2)*(2*d + 2 - 2)*(60 - 46 + 36 + 2 - 4 + 1 + (2 - 2 - 1)*(-2 + 3 - 2) - 2 - 3 + 3)*(d + 0*d + 0*d).\nAnswer: -1248*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 220\/600 - (-4)\/30?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/((-10)\/57372) - (59 - 60) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 7*o + 12 = 0. Let b be o\/(-25)*(-10)\/15. Put b, -3, 2\/9 in ascending order.\nAnswer: -3, b, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348126 bigger than 347973?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i**3 - 55*i**2 - 25*i + 15 = 0 for i.\nAnswer: -3, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 893469650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 + 60. Is 16 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4419 divided by -3\nAnswer: 1473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 + 40. Let n = q - -3. Let d(a) be the third derivative of a**4\/24 - a**2. Determine d(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11193105\/41 - -272975. Let n = 179142\/6601 + t. Let o = 19839\/1610 + n. Find the common denominator of o and 49\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -496*w**7\/105 - 21*w**3\/2 - 2148*w**2. Differentiate l(v) wrt v.\nAnswer: -3968*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/((-2490)\/(-1556)) + (6 - 9). Let h = g + -2\/249. What is the common denominator of -11\/5 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 + -22. Let p(m) = -4*m**2 - 18*m**2 - k*m**2. Let a(b) be the first derivative of b**3\/3 - 23. Calculate p(a(g)).\nAnswer: -28*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 19*f + 112. Let v(l) = -4 - 16 - 8*l - 2*l + f*l. Let k be v(-11). Solve 0*h - k = h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 180 and 6040.\nAnswer: 54360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18378586 divided by -967294.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/2)\/((-220)\/176) - 9\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = -12*x - 2886. Let j = x + 2092. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h**2 - h + 4. Let t(u) be the third derivative of -u**5\/60 + u**3\/6 - 8*u**2. Determine -2*t(n) + y(n).\nAnswer: -2*n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7595.060854 rounded to 1 decimal place?\nAnswer: 7595.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - b - 6, 12 = 3*f - 5*b - 10. Let x = 6 - 8. Let p be 10\/(-4) - x\/f. Put -3, 1, p in descending order.\nAnswer: 1, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 180*t**3 - 992*t**4 - 22 + 972*t**4 - 39 - 465*t**2 - 340*t = 0 for t.\nAnswer: -5, -3, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 1)\/(14\/42)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) 4383 (b) 1 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 128 and 280736.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 775 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 382.2 + -385.2. Let h = -5.33 - -0.33. Sort 3, l, h, 2\/5 in decreasing order.\nAnswer: 3, 2\/5, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/1575 and -1\/2412?\nAnswer: 422100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 20*r + 241. Let n be l(-11). What is the third smallest value in n, -0.6, 3\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/(-3))\/(-1))\/((-210)\/(-21)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 89595 take away 0.21439?\nAnswer: 89594.78561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g. Let w(s) = -s + 11. Let b be w(9). Let h = 3 + b. Let q(u) = h*u**2 - u**2 - 5*u**2. Calculate r(q(f)).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -1 (c) -0.2 (d) -0.02424 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3594.275 millilitres?\nAnswer: 3.594275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*v + 45*v - 2*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*u = 123*u - 4*j, -3*j - 2*j = -6*j for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/6 + (-186)\/(-36). Solve 0 = -0*m + b*m - 3*d + 7, 4*m + 16 = 5*d for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 172*h + 701. What is v(176)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -6*c**2. Let y(k) = -271*k**2. Give x(y(b)).\nAnswer: -440646*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -116*o**2 + 0*o**4 + 0*o**3 + 0*o + 73\/120*o**6 - 49\/30*o**5 + 0. What is the third derivative of x(h) wrt h?\nAnswer: 438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vmlvvmdvd. What is prob of picking 2 m and 1 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 14 = 3*b, 5*b + 14 = d - 0*d. Find the second derivative of n + d*n - 5*n**2 - 5*n + n wrt n.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2085.3 to the nearest ten.\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -20*y**3 + 25. Suppose 5*i - 5*q = -40, 4*q = 5*i + q + 42. Let d(b) = 5*b**3 - 6. What is i*d(u) - 2*k(u)?\nAnswer: -5*u**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 385590.\nAnswer: 2, 3, 5, 12853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**4 - f**4 + 4*f**4 + 3*f**3 - 3*f**3 - 2*f**4 + (3*f - 7*f + 3*f)*(-f**3 + f**3 + 2*f**3) - f**4 - f + f.\nAnswer: -3*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -216*t**3 - 1. Let u(z) = -z**3 + z**2 - 1. Calculate o(y) - u(y).\nAnswer: -215*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2455 - -2539. Calculate the highest common divisor of r and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 176.5 + -176.5. What is the nearest to y in 0, 43, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 13*v**2. Let g(n) = -n + 34638. What is g(k(o))?\nAnswer: -13*o**2 + 34638","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 32998455, 32998454, 32998453, 32998452?\n\"Answer: -y + 32998456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 64200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 6 + 6*w - 3*w + 1 + 3*w + w**2. Let q be g(-7). What is the third derivative of 4*r**4 + q*r**4 + 0*r**2 + 18*r**2 - 2*r**2 wrt r?\nAnswer: 432*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 + 21*b + 239. Let g be s(-13). Calculate the greatest common divisor of g and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 9 = -2*d - 3, 5*i + 10 = 5*d. Let w be ((2 + -1)\/i)\/((-1)\/2). Is w\/(-2)*(-89 + 10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2101.637 seconds to milliseconds.\nAnswer: 2101637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11218516\/475 - -23618. Calculate the common denominator of -33\/2470 and k.\nAnswer: 12350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1597461 is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-4\/5)*i\/(i*i**(-2\/5)\/i)*i)\/((i*i*i**(-4\/5))\/(i*i**(14\/5))) assuming i is positive.\nAnswer: i**(34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4018131 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ccccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by 1136\nAnswer: -7\/284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of 8*a**2 + 0 - 1\/3*a**3 + 0*a + 1\/20*a**5 + 0*a**4. What is the first derivative of w(c) wrt c?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -36*f**2. Let q(x) = 3*x**2 + 2*x - 2. Let m be 3 - (0 + -5 - -5). Let t(d) = 3*d**2 + 3*d - 3. Let k(a) = m*q(a) - 2*t(a). Calculate k(g(c)).\nAnswer: 3888*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 6:09 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 23 = -3*l, 80*l - 92 = 79*l + 4*q for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3 - 6 + 1. Let l(q) = -q - 5. Let b = -7 + 8. Let u = -3 + b. Calculate u*l(a) + 5*f(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7239331 is divided by 6836.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -76*z - 11. Let x be h(-1). Find the third derivative of 761 + 113*s**2 - 761 + x*s**3 wrt s.\nAnswer: 390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27\/2435? (a) -1\/2 (b) 4\/9 (c) -51 (d) -1\/10 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does -6531 = -6536?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 225*r**2 + 2. Let j(w) = 3*w**2. Determine d(j(p)).\nAnswer: 2025*p**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5389 - -5389. Let v(o) = -o + 44. Calculate v(y).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 116226*h**2 + 128*h. Let l(m) = -16*m. Give t(l(z)).\nAnswer: 29753856*z**2 - 2048*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5258.727 millilitres in litres?\nAnswer: 5.258727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 226885465?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 z when two letters picked without replacement from zzrrzczrrpyzzpy?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21808429.\nAnswer: 37, 647, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -19*l**3 + 5*l + 9. Let j be b(-2). Suppose -j*m = -154*m + 12. Solve -d - m = 3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 7*o**3\/3 - 12*o - 8. Let m(a) be the first derivative of b(a). Let s(l) = 2*l. What is s(m(h))?\nAnswer: 28*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -539 - -547. Let n be 4\/(-3)*3\/(-1). Solve 0 = 4*k - 4*r + c, 0*k - n*k - 8 = 3*r for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87606401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48288 is divided by 96.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/((-2090)\/19))\/((13\/286)\/(-1)).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3387301.\nAnswer: 17, 19, 10487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 5*h - d - 23 = 0, 5*h - 2*d = 26. Let c(u) = u**2 + u - 1. Let y(g) = 3*g**3 + 4*g**2 + 6*g - 5. Determine h*c(t) - y(t).\nAnswer: -3*t**3 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q - 28520283484 + 28520283484.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -859 - 7*h**2 - 13*h**2 - 8*h**2 - 6*h**2 - 5*h**2 + h wrt h.\nAnswer: -78*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z, t - 6*z = -2*z - 6. Let k be t\/(-1*3) - -2. Differentiate -2 + 3 - p + 3*p - k wrt p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 826 a factor of 67956902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*w**2 + 16*w**2 - 8*w**2 + 11*w**2 - 41*w**2 - 39*w**2.\nAnswer: -73*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 15*g**3 + 25*g**2 - 94*g. Let d(k) = 13*k**3 + 20*k**2 - 95*k. Give -5*d(n) + 4*u(n).\nAnswer: -5*n**3 + 99*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 384918534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130221 - -20?\nAnswer: -130201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 35 = -5*j, 4*g - g - 33 = -3*j. Suppose -z - z = -g, -3*z = -3*r + 201. What is the tens digit of (-24)\/r - 2*614\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 1597 = 2*m + o, 3*o - 1998 = -5*m. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4 - 2838*m**3 + 51813*m**2 - 234252*m.\nAnswer: -3*m*(m - 9)**2*(m + 964)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 1 + q**2 - q**3 + q - 3*q**3 + 5*q**3 + 0*q. Let s(a) = -a**2 + 10*a - 11. Let k be -12*(-2)\/((-8)\/(-3)). Let h be s(k). What is o(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 v when two letters picked without replacement from bwbvevbvbwbw?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express h**3 + 23*h - 4 + 29*h - 51*h - 3 + 17*h**3 as u*h + k*h**2 + n*h**3 + m and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 5*y**2 + 4*y - 1. Let r be b(-3). Suppose -r*x - 58 = -263. Let i = 72 - x. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, z: 1, t: 1, s: 2, j: 1}. Give prob of picking 1 j, 2 s, and 1 z.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 11 + 42)*(5 - 2 + 0)*(2 + 1 - 2 - k + (-1 + 4 - 2)*(2*k - 2*k - 2*k)).\nAnswer: -270*k + 90","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1842650 and 2560.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**4 + 0*p**4 + 0*p**4)*(0 + 0 + p) + 4*p**5 + p**5 - 3*p**5 + 1192716 - 595*p**5 - 1192716.\nAnswer: -592*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.481 - 0.441. Which is the third smallest value? (a) 2\/11 (b) -1 (c) n (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/7))**(-7\/2)\/(m**(-4\/3)\/(m\/(m**(-9\/4)\/m))) assuming m is positive.\nAnswer: m**(55\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ghh when three letters picked without replacement from {l: 10, g: 2, h: 4}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011319 to seven dps.\nAnswer: -0.0001132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n + 8. Suppose -4*l = -5*c - 39, -4*l + 78 - 32 = 2*c. Suppose w = -l + 5. Calculate i(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 - -38. Let z(c) = -6*c - 9 - 5*c + c - c**t + 7. Let s be z(-6). What is the highest common factor of s and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of m**5\/240 + 5*m**4\/48 + 25*m**3\/24 - 6*m**2 - 19*m - 1. Let c(o) be the first derivative of d(o). Factor c(f).\nAnswer: (f + 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 2:10 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x + 55*f - 57*f + 51, f - 15 = -x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3290 divided by 47?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -19*r - 125. What is y(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*a + 3*a - 4*a - 22*a + 42*a - 16*a + (4*a + 0*a - 5*a)*(-4 - 2 + 5) + (-4 + 0 + 5)*(-2*a + 2 - 2) to k*a + m and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 11:23 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/18)\/w*w*w**(-5)\/w)\/((w\/(w\/(w**7\/w)))\/(w*w**(1\/3))))**(-14) assuming w is positive.\nAnswer: w**(1351\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 22 - 46 - w**3 - 5*w**2 + 18. Determine v(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (62 + (-74 - -72)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -636 - -639. Solve 0 = -4*w - y*f + 6 - 14, 5*f = -4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74, -263, 20, 1, -2 in ascending order.\nAnswer: -263, -74, -2, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 72862 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**3 - 14956*n**2 - 26075250*n - 26060292 = 0. What is n?\nAnswer: -1458, -1, 8937","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z + 11. Let q(v) = 7*v**3 - v**2 + 2*v. Let x be q(-2). Let n = x + 143. What is the remainder when n is divided by p(-15)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30085 - 121061\/4. Let z = i - -5111\/28. Suppose -12\/7*b**2 + 24\/7*b + 2\/7*b**3 - z = 0. What is b?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -94*h. Let t(v) = v**2. What is b(t(s))?\nAnswer: -94*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (30\/5 - -2476233)*(-8)\/(-24) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-9)*(w**(3\/8)\/w)\/w*w)**8\/(w**(-2\/33)\/w*w\/w**(2\/21)*w)**14 assuming w is positive.\nAnswer: w**(-977\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 - 1968*l + 242064.\nAnswer: 4*(l - 246)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -1 + sqrt(11)*2 - ((sqrt(132) - (sqrt(132)*1 + sqrt(132)))\/sqrt(12) + (sqrt(11) - sqrt(44)\/sqrt(4)*-3)))*5)**2.\nAnswer: -150*sqrt(11) + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -941, 287, 1527, 2785, 4067?\n\"Answer: a**3 + 1221*a - 2163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -5.8. What is p rounded to 0 dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 15, -4*u - 5*s + 601 = -0*u. Let o be 3 - -51 - (-2)\/2. Let t = o + u. Calculate the greatest common divisor of t and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-48100)\/(-52)*6\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/373144, 0.1, 5\/6 in decreasing order.\nAnswer: 5\/6, 0.1, -1\/373144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 960, 964, 978, 1002, 1036?\n\"Answer: 5*j**2 - 11*j + 966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 569 + -571. Suppose 4*p + 10 = -0*p + 3*r, 0 = 2*p + 5*r + 18. Which is the smallest value? (a) d (b) p (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -430 or -439?\nAnswer: -439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*y - 10*y + 9*y)*(2*y**2 + y**2 - 2*y**2)*(4 - 1 + 1).\nAnswer: -64*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1487 (base 9) in base 2?\nAnswer: 10001101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 190\/(-40) + 5\/(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5*(sqrt(88) - -1*sqrt(88)*2)*-1)\/((sqrt(1152) + (-5*-1*sqrt(1152) - sqrt(1152) - sqrt(1152) - sqrt(1152)))*-3).\nAnswer: -4 + 5*sqrt(11)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (-6 + 6 + 10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -325*f**4 + 4*f**3 - 7*f**2 + 27. Let u(g) = 323*g**4 - 6*g**3 + 7*g**2 - 27. Let a(b) = 3*q(b) + 2*u(b). What is the third derivative of a(w) wrt w?\nAnswer: -7896*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112513 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zgbozo. What is prob of sequence bg?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, o: 5, l: 1, z: 7, g: 3}. Give prob of picking 2 x.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 658 + -253. Is b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 267293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -287 + 143. Which is smaller: z or -145?\nAnswer: -145","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s - 2. Let h be f(-5). Let l(c) = -c**4 - 8*c**3 + 12*c**2 - 5*c - 1. Let v(q) = q**4 - q + 1. Let z(p) = h*v(p) + l(p). Factor z(a).\nAnswer: 2*(a - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eolo when four letters picked without replacement from {q: 1, e: 1, r: 1, l: 1, o: 2, k: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + 8 + (8 - 11) + -4?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqxhx. Give prob of sequence xx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -40*(9 - 602\/70)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*x = 39 - 135. Let q(i) = -119*i - 49. Let z(g) = 5*g + 2. Give x*q(w) - 49*z(w).\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27.5 + -27. What is the closest to -2\/5 in 0.01, g, 1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/15)*x**7)\/(x\/(x\/((x**(4\/7)*x)\/x)))**(-2\/31) assuming x is positive.\nAnswer: x**(23122\/3255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000081394 rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 119, 1139, 1, 4.\nAnswer: 1, 4, 119, 1139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + r**2 + r + 1. Let h(i) = -5*i**3 + 6*i**2 + 6*i + 4. Calculate -h(q) + 6*o(q).\nAnswer: -q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 3517.8028554 to the nearest one hundred.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28204 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 9, k: 2, e: 2, u: 1}. What is prob of picking 2 k?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 790 and 237.\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*n**2 + 0 - 4\/7*n - 2\/7*n**4 + 4\/7*n**3.\nAnswer: -2*n*(n - 2)*(n - 1)*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -421 - -420.6. What is the biggest value in 7, l, -3, 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 51128927\/4 or 12782231?\nAnswer: 51128927\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m**4 + 3503*m**3*t**3 + 21*t**3 + 93*t with respect to m.\nAnswer: 4*m**3 + 10509*m**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -7 + 1. Suppose -q*j = -3*x + x - 4, 12 = 5*j - 4*x. What is the highest common divisor of 4 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 15 = 3*d. Let q = 1.3 + -1. Which is the closest to -1? (a) 3\/4 (b) d (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 94.18 + -94. Which is the closest to -0.1? (a) -6 (b) q (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cw when two letters picked without replacement from {w: 5, p: 2, c: 4}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-735)\/294*6\/10. What is the closest to -4 in z, -5, 217?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -145207688, -580830747, -1306869178, -2323322981, -3630192156?\n\"Answer: -145207686*f**2 - f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*g - g**3 - 61*g - 9678*g**2 - 3*g**3 + 0*g**3.\nAnswer: -4*g**3 - 9678*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3536 (base 7) in base 8?\nAnswer: -2425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(117) + sqrt(117))*3 - 3*sqrt(117)*2)\/(-5*(4*3*sqrt(9) - sqrt(36)\/sqrt(36))).\nAnswer: -9*sqrt(13)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-16) - (-1863)\/(-72). Let m = 40 + i. Suppose -3*w + 0*p = -4*p - 16, 0 = 2*p - 4. What is the remainder when m is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a - 26. Determine z(19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 11:15 PM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -5*o + 15, 25*o = 3*a + 27*o - 16. Let j = 6 - 2. Put a, j, -4, 1 in decreasing order.\nAnswer: j, a, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-4 + 3 + 0 - 4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 7 = -3*h - z, 5*h - 23 = z. Let o(j) = j + 8. Let v be o(-6). Suppose -45 = -h*s + v*s. Calculate the greatest common factor of 165 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -13. Let j be 1\/i*(5 - -1). Suppose j*r - 28 = -1. Is 9 != r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m + 24*m - 27*m**2 - 2*m**2 - 14*m.\nAnswer: -29*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f = 4*c + 126, 629*f - 4*c - 40 = 633*f + c + 32 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (13155\/105 - (-4)\/(-14))\/(-1). Let c = -71 - x. Let g be (c\/(-8))\/(-3) - (-9)\/12. Solve t + 1 = g for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 0.7.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppopoopsppo. What is prob of picking 1 p and 1 s?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -57 + 57 + 31*g**5 + (-g**3 + g**3 - 2*g**3)*(13*g**2 + 16 - 16) + 2*g**5 - 3*g**5 + 3*g**5 + (g + 2 - 2)*(-2*g + 3*g**4 + 2*g).\nAnswer: 10*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -131.7, 1\/6, -3, -0.5 in increasing order.\nAnswer: -131.7, -3, -0.5, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/4)*j)**(-5\/3)*(j\/j**(-4\/7))\/(j\/j**(-2\/7)))\/(((j**(2\/7)*j)\/(j\/j**(-3)))\/(((j\/(j**3\/j))\/j)\/(j*j**(6\/11)*j*j))) assuming j is positive.\nAnswer: j**(-167\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 736853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -533, -1527, -2515, -3497, -4473, -5443, -6407?\nAnswer: -7365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -591839 or -590033?\nAnswer: -590033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b - 9. Let h be w(-9). Suppose h*a + 3*a - 144 = 0. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, p: 1, a: 1, d: 2, h: 4, t: 3}. Give prob of picking 1 t and 1 f.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3271483.\nAnswer: 43, 76081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 14. Suppose -3*x + 8*x = q. Suppose x = 5*d, -m - d + 3*d - 5 = 0. Let u(o) = o**3 + 7*o**2 + 6*o - 4. Determine u(m).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -20, -4, -5.\nAnswer: -20, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**6\/o)**(-17\/5)\/(o**(6\/11)*o*o*o**8) assuming o is positive.\nAnswer: o**(-303\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -d**4\/12 - d**3\/6 + 5*d**2\/2 - 2*d. Let h be t(0). Sort 0, h, 1 in ascending order.\nAnswer: 0, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26*l - 8*l**2 + 26*l)*(4 - 2 - 4)*(-8 + 3 - l + 3)*(-52*l - 36*l + 23*l) as i*l**3 + g*l + o + q*l**4 + v*l**2 and give q.\nAnswer: 1040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2958139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 11*o**3\/6 + 2*o**2 - 1021*o. What is i(3)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/54 - 1)\/(((-1330)\/63)\/19).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-29)\/(-12) - (-60)\/(-36)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 15*q + 4. Let z(y) = -16*y - 5. Calculate -4*h(j) - 3*z(j).\nAnswer: -12*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 5 + 50*i)*(-41*i**3 + 14*i**3 - 162*i**3) to the form w*i + h + t*i**2 + q*i**4 + x*i**3 and give x.\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 576 and 1152?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(3 + (sqrt(567) - (-2 + sqrt(567)))) - (sqrt(252) - (sqrt(252) - ((sqrt(252) - (sqrt(252) + -1)) + 0)) - (2 + -1 + sqrt(252) + sqrt(252))))**2.\nAnswer: 120*sqrt(7) + 1033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r. Let t(m) = 7*m**2 - 9*m**2 - 5*m**2 - 20*m + 9*m**2. What is q(t(g))?\nAnswer: -4*g**2 + 40*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 599348043 to the power of 1\/2, to the nearest integer?\nAnswer: 24482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1577813\/66856 - -1440\/61. Does -1 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -487.094 - -0.094. Let j = -488 - f. What is the closest to -2 in 0, j, -0.02?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1697322?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27306*u**2 - 27305*u**2 - 27303*u**2 + 81917*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37 + 637*x**4 - 27*x + 1010*x - 39*x**4 + 37 wrt x?\nAnswer: 7176*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -5803 (base 12) in base 11?\nAnswer: -73a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 0 + 21 + -30 - (-9 - 0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21550, 87272, 196824, 350218, 547466?\nAnswer: 788580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, q: 2}. Give prob of sequence qtq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4*0.04624\nAnswer: 0.18496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - n + 45. Let k be x(-7). Suppose k*i - 38 = -50, -4*l + 6912 = 3*i. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 5*f - 10, 0 = 2*f - 3*j - 2 - 4. Suppose 59*k = 55*k + 20. Suppose -k*o - 38 = -48. Solve f = -2*c + c + o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g + 33. Determine h(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**3\/7 - 127709*a**2\/7 - 4596191*a\/7 + 674843 = 0. Calculate a.\nAnswer: -127673, -37, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1140 and 70457070.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m**2 + 12*m - 14*m**2 - 3*m - 10*m as s + g*m**2 + n*m and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/4 + k**3\/2 + 9*k**2 - 81*k\/2 + 189\/4.\nAnswer: -(k - 3)**3*(k + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2546724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59856652.\nAnswer: 2, 1451, 10313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4581000 a multiple of 500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135267*t**2 - 2837*t**2 + 12400*t**2.\nAnswer: -125704*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -41, -11, 1\/2, 1, 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 652163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-28) + (-3)\/21. Suppose j*k - k = 6. What is the remainder when (-6)\/(-4) - 273\/k is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4.100187ns?\nAnswer: 0.000004100187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/3912 and 139\/1956.\nAnswer: 3912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -562516.2 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479 is divided by 6\/(-2) + 23\/((-161)\/(-126)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*w**3 - 519*w + 519*w + w**2)*(2*w**2 - w**2 + 0*w**2).\nAnswer: -27*w**5 + w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9120 + 9120. Let p(u) be the first derivative of v*u**3 + 8*u - 6 + 0*u**4 + 0*u**2 - 42\/5*u**5. Differentiate p(d) wrt d.\nAnswer: -168*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5082121 or -5082125?\nAnswer: -5082121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 131*h + 8184. Determine q(-62).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 0, 427, 13, 6, 12.\nAnswer: -2, -1, 0, 6, 12, 13, 427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*d = 10526 - 7550 for d.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + (-42 - -138) - (2 - (2 - 16))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 5*v - 2*x - 201, 3*x + 141 = 3*v. Let i be 1 + (-142)\/(-2 - 0). Calculate the greatest common factor of i and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6612 a factor of 432230856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000040556077 to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/12*(-2)\/(-3)*-48?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -5*j**3\/6 - j. Let r be x(-1). Suppose -10*y = -14*y + 116. Solve 4 = -3*c - 2*w + 11, -r*w = -4*c - y for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40140 divided by -5?\nAnswer: -8028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 5*v + 10 = -15, -20 = -2*d + 5*v for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (69\/184*(-8)\/(-6))\/(5*(-13)\/325)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52.769 + 56.6051. What is a rounded to 1 decimal place?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b40c7 (base 13) to base 3.\nAnswer: -121102020111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15510 and 594.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1898 - -21.531218.\nAnswer: 21.341418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 370353796 divided by 4\nAnswer: 92588449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - (-1 + 1*-8). Suppose 14*s + o = 16*s. Suppose s*p - p + 90 = -2*k, -4*k - 5*p - 180 = 0. Round k to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hsf. What is prob of sequence hh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000904498 rounded to five dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Convert 889.956 months to millennia.\nAnswer: 0.074163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63*(28\/(-4) + 176\/24) and 70?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 9*b**2 + 11618*b + 23240. Give r(-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219 = -8*s - 27. What is the least common multiple of 708 and s?\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4870 = -4*l + 3*k + 1481, 5*l = -2*k - 4219. Is 3\/(-12) - l\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.7 * -23.\nAnswer: -62.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5 + 8*w**2 + 4*w**2 - 20*w**2 - 2*w**3 + 40*w**5 - w**2 wrt w?\nAnswer: 2400*w**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 7*w**2 - 2*w**2 + 2 + 3*w**4 + 12*w**3 - w**2 - 1 as b*w**3 + q*w + c*w**4 + s + g*w**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sh when two letters picked without replacement from {n: 2, s: 8, h: 8}?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 0, -5, -2.\nAnswer: -5, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + 1)\/(-2 - -3). Let d be (0 + -1)\/h + 2496\/192. Which is bigger: 10 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(4\/13))**(7\/4)\/(q**11\/q)**(4\/9))**(9\/5) assuming q is positive.\nAnswer: q**(-457\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-seven fifths of a kilometer?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**7\/1890 - n**6\/162 - 43*n**3\/6 - 36*n. Let j(u) be the second derivative of f(u). Suppose j(p) = 0. What is p?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 24 = i, -2*i - 9 = 1435*c - 1436*c for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 433646293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -703472 or -333?\nAnswer: -703472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136501, 272976, 409429, 545854, 682245, 818596, 954901?\nAnswer: 1091154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -264, -275, -286, -297, -308?\n\"Answer: -11*t - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -2\/111, -11?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*a + 20*a - 880. Suppose -10*m = -5*m - a. What is the remainder when m is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 2) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*y = 8*j + 42*y - 12, 0*j - 22 = -3*j - 4*y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5*f**2 - 138*f + 1221. Is 138 a factor of a(54)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*c - 895*c**3 + 1787*c**3 + 116*c - 894*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -133004 + -3430?\nAnswer: -141434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 5*x**2 + 4. Let h be 3*1*(-2)\/(-3). Let q(k) be the third derivative of k**5\/60 + k**4\/24 + 14*k**2. Let y(c) = h*q(c) - m(c). Give y(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3037 - 3037.05. Which is the nearest to -2? (a) -0.4 (b) j (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-3))\/(l**(-2\/25)\/l)*((l**(-2\/7)\/l)\/l*l*l)\/l*(l*l*l**(-1\/6))\/l assuming l is positive.\nAnswer: l**(4859\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001356 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27411 in 6, -10\/31, -1\/4?\nAnswer: -10\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100100001111100 (base 2) to base 13.\nAnswer: 85a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + 2)*(-2 + 1 - 2)*(2*w**3 - 3*w**3 - w**3) in the form k + p*w**2 + v*w**3 + u*w and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.762 - 12.703912. Let t = g + -0.05271. Round t to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31884180 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5741*0.055\nAnswer: 315.755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 8*q - 5. Let f be a(7). Suppose -2*t - f = 4. Let u be (-10)\/(2*t\/(-5820)). What is u rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**23)**(-2\/55)\/(t\/(t\/(t\/((t*t*t**(-5)\/t)\/t)))*t**(-4)*t))**(-5\/2) assuming t is positive.\nAnswer: t**(211\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44196 and 165300?\nAnswer: 20993100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 9\/2. Let k(n) be the first derivative of -x*n**4 + 0*n**2 + 0*n + 1 - 2\/3*n**3. Find the third derivative of k(z) wrt z.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1995\/(-38))\/21*(-144)\/20.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 2890.\nAnswer: 14450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*w - 18 = 0, -12*h + 3*w + 2 = -10*h. Solve -20*s = -h*c - 21*s + 26, -2*c - s + 16 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (-4)\/2 - -3. Suppose 3*s - 2*p = 15, -w*s + 24 = 2*p - 7*p. Let d = -0.06 + -1.94. Which is the nearest to -1\/2? (a) s (b) d (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -109*0.6\nAnswer: -65.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 + -27. Let g be 428942\/1260 + 27\/(-21) + i. Let z = g + -1716\/5. What is the common denominator of 43\/12 and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -15*l**4\/2 - 6408*l**3 - 1823715*l**2 - 172521900*l + 208342125\/2 = 0.\nAnswer: -285, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3008, -23, 33?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/12*(-144)\/(-24).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 1240001*j + 5. Let u(m) = m + 7. Let h be u(-12). Let v be y(h). What is v rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gcjcgmjgg. Give prob of picking 2 c and 2 g.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/631488 and 149\/24.\nAnswer: 631488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -614, -14, 174, 2 in increasing order.\nAnswer: -614, -14, -3, 2, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 216 and 243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + 0. Suppose 4*q - 13 + b = 0. Let j = 36 - 22. What is the lowest common multiple of q and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 2\/13 (b) 58 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-4)\/o*o*o)\/o)\/o**(-26))**(-1\/78) assuming o is positive.\nAnswer: o**(-11\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -20 + 1?\nAnswer: -1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 2601 - 10869 = 0. Suppose -2*h - l = -4*w - 4*h, -5*h = w - 367. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16 + 4*c**2 - 13 + 33 wrt c?\nAnswer: 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 9*m**2 - 2*m + 8. Suppose 20 = -67*g + 70*g - 2*h, -3*h = -2*g + 10. Determine s(g).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 783174523?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-4) + -2)*4\/22?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 434 = -4*v + 2*s, 5*v = 3*s + 515. Let t = v - 73. What is the remainder when 295 is divided by t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -160?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -5*a**2. Suppose 3 + 7 = 5*k. Let w = k + 0. Let u(g) = 2*g**2 - g + 0*g**w + g. Calculate z(u(h)).\nAnswer: -20*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k\/k**(-7)*k*k))\/k*k**(-4\/7)*k)**(-27) assuming k is positive.\nAnswer: k**(1998\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2 - 22*p + 44. What is v(-13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -d**6\/120 + 11*d**5\/60 - 5*d**4\/12 + 5*d**3\/3 - d**2. What is the units digit of s(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**4\/2 + 3741*q**3\/2 - 9315*q**2 = 0.\nAnswer: 0, 5, 1242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4098980, -4098984, -4098990, -4098998, -4099008?\nAnswer: -4099020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/5*z**2 + 21\/5*z - 1\/5*z**3 + 11\/5.\nAnswer: -(z - 11)*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25 + 6 + 31)*(5*a - a - 2*a + 0*a + 0*a + a + (-2 + 1 + 3)*(0*a - 2*a + a))*(1 - 1 - 2)*(-7 - 32 - 8)*(-4 + 1 + 2) to the form d*a + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6420\/11 (b) 0.4 (c) 0 (d) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 99 + 153. Suppose 0 = -2*j - 4*j + p. What are the prime factors of 7\/(j\/52)*(1 - -1)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15142244 (base 6) to base 7.\nAnswer: 4322410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -132, -266, -398, -528?\n\"Answer: q**2 - 137*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90 divided by 876881.\nAnswer: 90\/876881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-seven quarters of a tonne?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38.45, 0.3, 2, 1 in descending order.\nAnswer: 38.45, 2, 1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 9. Let x(m) = m + 8. Let s(h) = -6*l(h) + 7*x(h). Let n be s(0). Suppose -n*o - 32 = 2*o. Is -7 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + -53\/2. Let s = -115.7 - -95. Let j = s - -21. Sort i, j, -1, -5 in ascending order.\nAnswer: -5, i, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 4. Let l(n) = -n**2 + 4*n + 8. Let w be l(6). Let u(y) = y - 1. Let j(m) = w*u(m) - a(m). Let t(s) = -4*s**2 - 222 + 222. Calculate j(t(i)).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78 and 442.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(3) + sqrt(48)) - sqrt(3))*-5)**2 + -2.\nAnswer: 63073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 75 = 9*h. Is h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 24*j**2 - 187*j - 715. Is r(-44) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - w + 315 = 0. Let n = w + 102. What is the nearest to -1\/6 in 4, 3\/4, n?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dgd. What is prob of sequence dg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 63 - -16?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 274407, -24, -1 in increasing order.\nAnswer: -24, -1, 274407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1318123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-2\/5)*o*o)**(3\/41)*o*o**(-10\/7)*o\/(o\/o**(-1\/3)) assuming o is positive.\nAnswer: o**(-2461\/4305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 329, 326, 323, 320, 317, 314?\n\"Answer: -3*n + 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2b + 0?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26703093?\nAnswer: 3, 8901031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1476120*s**2 - 105865*s - 3 wrt s.\nAnswer: -2952240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13758 + -12801. Is k a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - 11 - (6 + (4 - 2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-198)\/27 - -7)*-39 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -90623.523 to the nearest ten.\nAnswer: -90620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75570\/(-445863)*(-354)\/4.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(-2*i**4 - 2*i**2 + 2*i**2) + 3*i**4 - i**3 + i**3 + (-1 - 3*i**2 + 1)*(-2*i - 2*i**2 + 2*i).\nAnswer: 11*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-50)\/100*3\/4*(-32)\/(-30). Is g greater than or equal to -1.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*m - 5 = 16*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 203852242 to the power of 1\/3, to the nearest integer?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 81 - 47. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/48 and 143\/120.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 403942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1273 + -1273.3. What is the fifth biggest value in 0.4, z, -7, -0.2, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(153) + 3*sqrt(153)*2)*-6)**2.\nAnswer: 9716112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 8*l**2 + 8*l. Let y be p(-8). Let a = -64 - y. Solve 3*k - 3 - 6 = a for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*t + d, -4*d = 3*t + t + 20. Let h(n) = n**3 - 3*n**2 + n + 2. Let a be h(2). Is a bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -41 (b) 0.5 (c) -0.4 (d) -128 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -1. Let z(d) = 5*d - 6305. Let p(k) = -5*x(k) + z(k). Let u = -1252 + 1252. Let a be p(u). Round a to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64858536 and 36.\nAnswer: 64858536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3015*c - 3014*c + 11 + 6033*c.\nAnswer: 4*c + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*v = -47*v - 18. Solve -k + 4*c = 10, -c + v*c = 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5*q - 826 = -239, -f + 2*q + 163 = 0. What is the tens digit of (-3057)\/(-27) + (-34)\/f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.013 + -0.287. Let s(l) = -l**2 + 7*l + 2. Let n be s(6). What is the closest to -1\/4 in a, 1\/2, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 4953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(24\/11)\/r*r**(1\/6)*r)**26 assuming r is positive.\nAnswer: r**(2015\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/101335860 and 2\/145?\nAnswer: 101335860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 1:57 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-2\/5))\/(x\/(x\/(x\/x**(5\/2)))*x))\/(x\/(x\/x**2*x*x))**(-2\/17) assuming x is positive.\nAnswer: x**(11\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2093\/28 - 6\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2955 + -2956. Which is smaller: i or -2\/6473?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 4*c**3 - 24712680*c**2 - 148276252*c + 172988928 = 0.\nAnswer: -7, 1, 6178176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m + 2*m - 4*m + (3*m - m - 4*m)*(1 + 2 - 5) + 0 + 0 - m - 2*m + 0*m + 3*m + m + 0*m + m + 3*m + m + 0*m - 1 + 1 - m as q + v*m and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 3*l**2 - l - 1. Suppose 0 = 12*w - 3 - 9. Determine c(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251 = 269*z + 789 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -82 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2999*h**3 - 4*h**2 - 6*h - 4. Let z be r(-5). Let v be (z\/(-1))\/(0 - 1). Let d = v + -734801. Round d to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 355.37903351 from 0.01157.\nAnswer: -355.36746351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3236808, -3236809, -3236810, -3236811?\n\"Answer: -o - 3236807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-648)\/1260)\/(33\/77)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*r**2 + 2 + 36*r**2 - 8*r**2.\nAnswer: 49*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 9:21 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2318 + 3708. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 5*k + 15 = 0, 4*k + 12 = -51*r + 54*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 13 + 27. Solve 0 = 3*i + 2*i + 10, 0 = -2*a - i - v for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*i = 0. Suppose 3*u = -i*u. Solve 0*n - 2*m = -5*n + 13, u = -4*m + 4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 11*c**2 - 3327*c - 26475. What is a(-8)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23424 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 times 3080\nAnswer: 3388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s - 1. Let r(o) = -4*o - 2. Let g(n) = -6*r(n) + 11*w(n). Let c be g(2). Suppose -2*h + 17 = -c. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(80) - sqrt(5))*2.\nAnswer: 8 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.92405163 take away -0.3?\nAnswer: 9.22405163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -381.\nAnswer: 14\/381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/((r*r\/(r*r*r**(-1\/2))*r*r*r)\/r)))\/(r\/(((r**5*r)\/r*r)\/r))*(r*r**0*r)**(-13))**(8\/7) assuming r is positive.\nAnswer: r**(-156\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -85*25773\/(-20570)*(3\/12)\/((-3)\/8)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011469431 rounded to five decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/10*-26 - 462\/42?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + -39898405.\nAnswer: -39898405.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 70298923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 61659707 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.570113 - 1.57. Round r to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 + 34. Let c(o) be the second derivative of o**7\/504 + o**4\/12 - o**3\/6 + 77*o + 2. Let h(w) be the third derivative of c(w). What is p(h(m))?\nAnswer: 50*m**4 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -865*z + 34620. Give h(40).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1317588.\nAnswer: 2, 3, 59, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 514.5777 millennia in decades?\nAnswer: 51457.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/63715 and 1\/7060.\nAnswer: 89965580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*f + 85289*f**3 - 9*f - 85288*f**3 + 19*f**2.\nAnswer: f**3 + 19*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {w: 5, y: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3 = 4*m + 1, 3*m + b - 16 = 0. Let p(v) be the third derivative of -25*v**4\/6 - 15*v**3\/2 + 5*v**2. Let j(t) = 9*t + 4. What is m*p(y) + 45*j(y)?\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 7:19 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-48*j - 14*j**2 + 48*j)*(-j**2 - 2*j**2 - j**2)*(1 - 7 - 2) to the form t*j**2 + d + u*j**4 + k*j + r*j**3 and give u.\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 212*s**2 + 9. What is the tens digit of x(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, h: 3, d: 5, o: 1, p: 1}. What is prob of sequence dh?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 0 + 3*h - 1\/6*h**3 + 1\/600*h**6 - 1\/40*h**4 + 0*h**2 + 0*h**5. Let i(p) be the second derivative of y(p). Factor i(t).\nAnswer: 3*(t - 1)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36272.\nAnswer: 2, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**2 - 116. Let b(c) = 23*c + 4. Let k(a) = -17*a - 3. Let x(s) = -3*b(s) - 4*k(s). Determine z(x(i)).\nAnswer: -2*i**2 - 116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - x + 1907 = 0, o + 6*x + 1919 = 3*x. Let j = 4671 + o. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(-77 - 6 + 39)*((-i + 2 - 2)*(-2 + 1 - 1) - 4*i + 0*i + 5*i).\nAnswer: 132*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 489295192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -2\/21, 12\/41, 4?\nAnswer: 12\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*i - 3*i**3 + 85*i.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 35, -5, 0.\nAnswer: -5, 0, 9, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3760 and 920.\nAnswer: 86480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*s - 2*p - 18, -60 = 3*s + 4*p. Put -4, -1, s in ascending order.\nAnswer: s, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40*64\/6400)\/(18\/(-20)*2)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 120*y - 487 - 266 - 87 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 582 and 15587706?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 23*t**2 - 3177*t + 55562. Calculate m(18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, a: 4, t: 3, k: 2, s: 1}. What is prob of picking 1 d, 1 k, and 1 t?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1784836 from 0.12518.\nAnswer: 1784836.12518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1264, 1309, 1354?\nAnswer: 1399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74224?\nAnswer: 2, 4639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-72)\/(-120))\/(6\/50). Put 3\/7, 0.03, n in ascending order.\nAnswer: 0.03, 3\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4902 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/3876 and 13\/408.\nAnswer: 7752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -65 (base 15) to base 11\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/21, -4, 1\/211, -1861, 5?\nAnswer: 1\/211","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00011950151 rounded to six decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*r - 25*r - 4550 = -175*r for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 297*t + 88. Let k(m) = -17*m - 5. Determine 88*k(c) + 5*n(c).\nAnswer: -11*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-205)\/(-70) + -3)*7\/(42\/48)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 1895966*s - 1599678*s.\nAnswer: -3495644*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**3 - 12*i**2 + 9*i = 0 for i.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*r**4 - 213*r**2 + 421*r**2 - 209*r**2 - 21*r + 3*r**4 - 16*r as k + h*r**3 + o*r**4 + a*r**2 + z*r and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-24)\/13 - -5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.033468 years in months?\nAnswer: 36.401616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4763653751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 960014460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116, -325, -568, -845, -1156?\nAnswer: -1501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 205, 475, 875, 1411?\nAnswer: 2089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**3 + 12299*v**2 - 716 + 716 - 12303*v**2.\nAnswer: -2*v**3 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/59)*d)**(-44)\/(d**(-14)\/d*d*d*d*(d\/(d**(9\/2)\/d))\/d) assuming d is positive.\nAnswer: d**(-3187\/118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 - 21. Suppose 109 = 3*h - 5*y + 3*y, 0 = -3*y + 3. Solve -k + 5*k - p = 0, -h = -3*n - 5*k for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(-4)\/((-2)\/(-1)). Let m = 1763.932 + -1767. Let c = m + 0.068. Sort v, 5, c in ascending order.\nAnswer: c, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + u + 2*u - u)*(-1570*u + 747*u + 729*u).\nAnswer: -188*u**2 + 94*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-949050\nAnswer: 474525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -0.2 (c) -17\/4 (d) 0.09 (e) -2 (f) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 198200000 to the nearest 1000000.\nAnswer: 198000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -26 - -14 - (1 + -3)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 291 divided by -3127630.\nAnswer: -291\/3127630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -106.\nAnswer: -42.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4388660?\nAnswer: 2, 5, 219433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o + 4. Let f = 2 + -2. Let j be g(f). Let u be 2\/(-11) + (-666)\/(-33). Solve -u = 8*a - j*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-7)*(-77)\/66 + 0. Let n = -3 - -5. Let g = 20 - 21. Which is the third biggest value? (a) n (b) v (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 6*g**2 - 5*g + 2. Let o be n(-5). What is the second derivative of -4*p**2 + 6*p**2 - 2*p**o - p - p**3 wrt p?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k + 216 = -70. Let u(j) = 21*j - 237. Let h be u(k). Calculate the greatest common factor of h and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a8 (base 15) to base 12.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-4) + 25\/(-10)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 1 - 3)*((2*v**2 - v**2 + 4*v**2)*(-1 + v + 1) - v**3 + 19 - 6*v - 19) in the form c + s*v**3 + a*v + r*v**2 and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/c**(-47)*c*c*c*c**(1\/9)*c assuming c is positive.\nAnswer: c**(478\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -37.7 (b) 0.02 (c) -8\/17 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7038167?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o\/o**(-48)*o*o)\/o)\/o*o**(-1\/51))\/(o*o**(-2\/111)*o**(3\/5)) assuming o is positive.\nAnswer: o**(152213\/3145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -4. Suppose i*f + 2 - 6 = 0. Let j(k) = 8 - f + k - 1. Give j(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -17. Let o be ((q + -5)*0)\/(-2). Let z(a) = 153 + 3*a - 147 - a - 3*a. Calculate z(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24116 - 9549923\/396. Calculate the common denominator of 29\/72 and q.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 222b7 - e?\nAnswer: 222a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -119*i + 1072. Is m(-53) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-19 - -1067)*14\/112. Suppose 2*v - 390 = -v. Is v at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1238995178.\nAnswer: 2, 13033, 47533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 8*i**2 + 5. Let r be b(-8). Suppose -3*c - 5*l - 45 + 847 = 0, -4*c + 1011 = -r*l. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 11:21 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_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: Which is greater: 0 or 57\/220489?\nAnswer: 57\/220489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*y - 85 = 55 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -6*a - 115. What is r(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 6*a**2 + 3*a - 21. Determine h(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/6, 1.1, -1\/6, 3\/4, -21, -2.5?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 18743*o. Let d(q) = -19*q**2. Give v(d(t)).\nAnswer: -356117*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*g, -21*s = -6*g + g - 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8 - 492\/60) + 28\/15. Let b(o) be the first derivative of -7 + 2*o + 0*o**2 - z*o**3. Differentiate b(f) wrt f.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/880 and 73\/25016310?\nAnswer: 200130480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -461\/12 - -235\/6. Let j(s) be the second derivative of -17*s - p*s**4 + 3*s**2 - 1\/2*s**3 + 1\/10*s**6 + 3\/20*s**5 + 0. Factor j(i).\nAnswer: 3*(i - 1)**2*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.25989 and 0.09.\nAnswer: 0.34989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**2 - 945 + 33*o - 11*o - 14*o - 6*o.\nAnswer: -4*o**2 + 2*o - 945","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 16 = -2. Let t(b) = -b - 1. Give t(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f - 2*j + 7, 3*f = -6440*j + 6434*j - 9 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 q when four letters picked without replacement from {q: 3, z: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.768046km in meters?\nAnswer: 8768.046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 10:30 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*m*q**3*v**3 + 8*m*q**2*v**2 - 268*m*q*v**3 + 29*m*v**3 + 3905*q**3*v + 3*q**3 + q*v wrt q?\nAnswer: -18*m*v**3 + 23430*v + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5 + (sqrt(170)*3)\/sqrt(10) + -1)**2.\nAnswer: 24*sqrt(17) + 168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 188\/28 + 4\/14. Suppose 3*z + 5*l = w, 1 = z - l + 2*l. Let t(d) = -53*d**3 - 2*d**2 - 2*d - 1. What are the prime factors of t(z)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6\/7 and 41541 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**4\/5 - 42*t**3\/5 + 247*t**2\/5 + 714*t + 1160 = 0.\nAnswer: -5, -2, 20, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 9243622 divided by -9243622\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -11*f**2 + 40*f - 76. Let i(r) = 13*r - 15*r + 163 - 150 - 5*r. Calculate 5*b(p) - 16*i(p).\nAnswer: 2*p - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6783 - 3.\nAnswer: -6786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(66)\/(sqrt(44)\/sqrt(4)*5))\/(((1*sqrt(99))\/sqrt(11))\/sqrt(3)).\nAnswer: -6*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100100 - -100100?\nAnswer: -101000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.013 * -6.\nAnswer: -0.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10, 5.1, -0.2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1557 + 1561. Which is the smallest value? (a) -4\/7 (b) g (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -520 - -521. Let a = 1.95 + -2. What is the nearest to z in a, 5, -4\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*r = -21*r + c + 16, 0 = r - 2*c - 11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*o - 50*o = 168. Let m be o\/(-8)*2\/7. Solve 0 = -m*z - i + 3, -i - 4 = -2*z - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -11*m + 12 + 10*m + 23*m + 7. Let g be b(2). Let j = 141 - g. List the prime factors of j.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**2 + 3056*k - 2871090 = 0.\nAnswer: -2185, 657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(77) - -5*(1*sqrt(77) - sqrt(77))) + (sqrt(77) - -1*sqrt(77)*-2))\/(sqrt(176) - -3*sqrt(176)*4) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (369 - 369 - r**2)*(5*r**2 + 5 - 5 + (4*r**2 + 0*r**2 - 2*r**2)*(1 - 2 + 0)).\nAnswer: -3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*l - 4. Let q = l + 3. Suppose 2*j - 378 = 2*s, 0 = q*j + 4*s - 173 - 217. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jooo when four letters picked without replacement from ojjjjjjojoojoojo?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76403823.\nAnswer: 3, 79, 179, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a1876 - 1368?\nAnswer: -a3133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5+-83909491367814\nAnswer: -83909491367809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4*a + 30, 7*a = 5*d + 2*a - 35. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -c**6\/120 - 7*c**5\/60 + c**4\/24 + 5*c**3\/6 + 887*c**2. Determine n(-6).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 13*f = 4, 2*f = j - 146. Suppose -6*s = -7128 - j. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 5*t**2 + t + 6. Give z(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-6) + (-32)\/(-36). Let s = 2 - 2.4. What is the biggest value in s, -2\/7, u, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 12022684.\nAnswer: -3606805.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of (-63775)\/(-20) - (-7)\/((-168)\/18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 623132858?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 73*a**2 + 5*a + 5. Let n(s) = -36*s**2 - 2*s - 2. Calculate 7*n(h) + 3*v(h).\nAnswer: -33*h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -9*(3 + (-32)\/8). Sort 3, 4, n, -10.\nAnswer: -10, 3, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 75 = 4*m. Let w = m - -106. Solve -3*v - 6 = -v + 2*l, 3*v - 5*l - w = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 4*a - 2. Let q(v) = -3*v + 1. Let x be q(1). Let g be z(x). Suppose -7 + 49 = g*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 381 = 2*q + q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -25.23, -2, -0.295, -1, 3\/4, 1?\nAnswer: -0.295","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of q**4 - 3*q**3 + 102*q**2 - 28*q - 81?\nAnswer: 12*q**2 - 18*q + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-6*(5 + sqrt(704) + -4))**2.\nAnswer: 14400*sqrt(11) + 634500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -8*j**2 - 495*j - 986. Determine o(-2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -77 + 78. Is 0 + 1\/(-2)*-4426*h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -17c?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5*o + 194. Calculate i(-35).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 140*d. Let s(a) = 52*a. Let c(r) = 8*s(r) - 3*z(r). Let g(n) = -n - 20. Determine g(c(j)).\nAnswer: 4*j - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102, -199, -298, -399, -502, -607, -714?\nAnswer: -823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60.41 - 60.4. Let i = -20 - -25. What is the third smallest value in -5, 0.5, g, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -460, -717, -1138, -1723, -2472, -3385, -4462?\nAnswer: -5703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -8*h + 33. Let f(k) be the third derivative of -k**5\/20 + 1097*k**2. Determine i(f(b)).\nAnswer: 24*b**2 + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3\/2 - 5298981*g**2 - 21195915*g\/2 - 5298978.\nAnswer: -3*(g + 1)**2*(g + 3532652)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 70\/(-1)*(-7 + 0). Suppose 3 = 3*m, -4*r + 1091 = -3*m - c. Suppose -449 = -5*x + r. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/7 + 184636*z\/7 + 369280\/7.\nAnswer: -2*(z - 92320)*(z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1277 - 23.8723. What is the second biggest value in 11, t, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-465)\/(-840) - 51\/119.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5 + sqrt(17)*-2 + (-1 + sqrt(34)\/sqrt(2) + sqrt(17) + sqrt(153)\/(-2*sqrt(9)))**2.\nAnswer: -5*sqrt(17) + 137\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 125 in 8.8, 4, 1.3, 2?\nAnswer: 8.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/3)\/(z\/z**6*z))**(1\/6)*(z\/z**(-2\/13)*((z**(-5)*z)\/z*z)\/z)**(-4\/17) assuming z is positive.\nAnswer: z**(3347\/1989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, j: 2, t: 3}. What is prob of sequence tj?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 12*n**2 + 5*n. What is the least common multiple of k(12) and 27?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 133 in 2\/7561, -1, 4\/7, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*a**3 - 18*a**3 - 20*a**3 - 2*a**2 + 2*a**2 + 65*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 - 46. Let g(k) = -k + 2. Let c be g(w). What is the greatest common divisor of c and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-15 - -1))\/(8\/(-9464)*-13)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1274\/17 + -16223\/204. Let c = 38\/3 - 13. Let b = 1\/6 - c. Find the common denominator of b and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1042.3 to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3*d = 329109, h + h + 219412 = 4*d. Round h to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-154)\/84*((-21)\/154)\/((-15)\/40)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2679\/13 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4\/19 - 24*z**3\/19 + 40*z**2\/19.\nAnswer: 2*z**2*(z - 10)*(z - 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, b: 3, r: 9, h: 1}. What is prob of sequence bho?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -446*l - 8. Let c(w) = 2*w + 2. Calculate 3*c(z) + s(z).\nAnswer: -440*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 4*q**2 + 210346856*q + 2765362489317796 = 0?\nAnswer: -26293357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkjjkkjjkkjk. What is prob of picking 4 j?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 192668, 192676, 192684, 192692, 192700?\n\"Answer: 8*i + 192660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**2 + 7420*u + 14856 = 0 for u.\nAnswer: -2, 1857","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c (base 16) to base 12.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/40, -72.2, 2, 4, 0.3 in descending order.\nAnswer: 4, 2, 0.3, 1\/40, -72.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**8*x))\/(x\/(x\/(x\/x**(-7))*x*x)))\/(x*x**(1\/2))**(3\/7) assuming x is positive.\nAnswer: x**(-205\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2280, 8068, 17714, 31218, 48580, 69800, 94878?\nAnswer: 123814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fyehdxhe. Give prob of sequence fxd.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 4*f - 26, d - f - 126 = 0. Calculate the remainder when 315 is divided by d.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i - 237. Let w be f(-60). Let -1\/4*x**w + 1\/4*x + 1\/2 + 1\/4*x**4 - 3\/4*x**2 = 0. Calculate x.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2044)\/(-70) - ((-8)\/10 - -1). Suppose -5*t - g*o + 850 = -27*o, -3*t + 2*o = -510. Is t a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1321*l - 4363*l + 207 - 207)*(-2*l + 2*l + l)*(2 + 0 + 0) to n*l**2 + g*l + o and give n.\nAnswer: -6084","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -7*o**2 + 10*o - 16. Let p(c) = -24*c**2 + 30*c - 56. Let k(i) = 2*p(i) - 7*r(i). Determine k(11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(9\/(-6))\/3. Let c(o) = -3*o. Let q be c(p). Suppose -w - 9 = 2*w + 3*g, 0 = 2*g + 6. Solve 0 = -w*k + q*k - 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3*p - 13, -11 + 2 = p + 5*s. Suppose -l - p = 3. Is l smaller than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*q + 53*q = -20. Suppose -4*w = -q*w + r + 14, -82 = -5*w - r. What is the least common multiple of w and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13402 - -38655. List the prime factors of b.\nAnswer: 25253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of x**4\/12 + x**3\/2 + x**2 - 471*x. Calculate w(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 7*c**2 - 2. Let j be n(-7). Let y = -5 - -8. Let h = y + -3. What is the closest to j in h, -5, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4188719009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eh when two letters picked without replacement from eceeceyeceeehe.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1964 - 0?\nAnswer: 1964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -150 - -31?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43*t**4 + 396*t**3 + 57121*t?\nAnswer: -516*t**2 + 2376*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 5 - 2)*(1 - 1 - 1)*(k + k + 0*k) to the form j + w*k and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 3*c + 2. Suppose q + q = -5*m + 1, -4 = 4*m. Let t be n(q). Solve 5*i + 12 = 5*j + 32, -i = t*j + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2187 in 5, 5077, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28142 (base 10) to base 3.\nAnswer: 1102121022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3917\/2 - 372131\/190. Is q < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65 - -71. Let m be 784\/12*1*h\/4. Suppose m = 2*o + c - 3*c, 3*c + 15 = 0. What is the highest common factor of 11 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2313*z + 8569 - 6280 + 11589 = 0 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 14. Let l = 6 + t. What is the greatest common divisor of l and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v + 4*j - 1 = 22*v, 9 = 7*v - 11*v + 3*j for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-224)\/770)\/((-6)\/(-5)))\/((-26)\/78).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38\/19)\/(-2)*-9*1*17\/(-3).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 490*g + 504*g + 67*g**2 + 495*g + 3*g**4 - 1496*g to the form y*g + i*g**2 + w + o*g**4 + s*g**3 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h + 16 + h - 19)*(-5 + 5 - h) to r*h**2 + z + w*h and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85527 and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 7*o = 0. Suppose 4*j + j - 3*a - 48 = o, a - 26 = -3*j. Solve -2*s + 9*y = 4*y - 15, s - j = 3*y for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106298205*l + 106298205*l + 26*l**2 - 45*l**2.\nAnswer: -19*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 50\/(-6)*-3. Let s be (-66)\/(-44)*2\/n*-2. Let k be (-8)\/(-21) + (-6)\/9. What is the closest to k in 0.4, s, 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6871*z**3 + 2*z - 3*z**2 - 7087*z**3 + 2*z**2 + (-2*z + 1 - 1)*(0*z**2 - z**2 + 3*z**2) - 2*z**3 + z - z as v + r*z + w*z**2 + o*z**3 and give o.\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvvuvvvuuuvvuuuvuvvu. Give prob of sequence uu.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7847, -7841, -7835, -7829?\nAnswer: -7823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g**3 - 5*g**3 + 6*g**3.\nAnswer: -9*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8929565?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + 5*h + 13, -46*z = -48*z - 4*h - 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 9*o**2 - 9*o - 20. What is a(-8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2189, 17306, 58285, 138056, 269549, 465694, 739421, 1103660?\nAnswer: 1571341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.52 - -1.03. Round m to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 72.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266 = 2*z + 3*v - 1748, -4*v - 1007 = -z. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 + 0.7. Let w(j) = -j + 6. Let l be w(4). Which is the nearest to l? (a) o (b) -0.3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41979207 to the power of 1\/4, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 0.1243687?\nAnswer: 0.3731061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -267, -196, -75, 102, 341?\n\"Answer: b**3 + 19*b**2 + 7*b - 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l = 4*l + 660. Let z be ((-1800)\/l)\/5 - 8. Which is the smallest value? (a) 194\/3 (b) z (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence akf when three letters picked without replacement from {k: 1, x: 1, a: 2, f: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**3 - 6*k**2 + 7*k - 1. Let z be h(-4). Find w such that -54*w**2 + 8*w + 18*w**3 + 42*w**2 + 3*w**4 - 32*w - z*w**5 = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - v - 1. Let w(m) = 21876*m**3 - m**2 - 4*m - 2. Let z(q) = -2*g(q) + w(q). Let y = 9 + -11. Let r be z(y). Round r to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23557860 and 290?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -29. Solve u = -0*f - 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, m: 2}. What is prob of picking 1 m and 2 j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w - 25. Let v be j(-13). Let o be (-258)\/v + (-3)\/(-7). Calculate the common denominator of -29\/16 and (-303)\/(-90) - (-12)\/o.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/2)\/11*-243*26\/(-585).\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1266149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2*-1771717.8\nAnswer: -3543435.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*c - 1. Let s be -1 + (c + 3 - -49). Suppose 9*z - s = 4*z. Solve -4*q - 6 - z = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-23)\/460*2 - 3\/(-30). Factor 7\/6*b**2 - 5\/3*b + k - 1\/6*b**3.\nAnswer: -b*(b - 5)*(b - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6111 to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-105)*12)\/((-120)\/(-588)*-1)?\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -3*g + 10, 5*g + 5*l - 10*l = -50 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 852 = -2*r, 5*r - 3 = 2*r. Suppose -4*d + l = d. Let j = d + 33. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 743153.9 + 0.119?\nAnswer: 743154.019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 552*w**2. Let a(n) = -n**2. Give a(c(v)).\nAnswer: -304704*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1341, -5309, -11901, -21105, -32909, -47301, -64269, -83801?\n\"Answer: 2*x**3 - 1324*x**2 - 10*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1094 - -1096. Let g(s) = -11*s + 3. Give g(q).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 11 = -n, 0 = -4*o - n + 15 - 2. Calculate the greatest common factor of 32 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 13 - 28*i - i**2 + 22 - 9. What are the prime factors of z(-19)?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 5*k - 1)*(8*k - 3*k - 3*k) to v*k + p + x*k**2 and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2990618 to the power of 1\/2, to the nearest integer?\nAnswer: 1729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-27)*-2*(-6)\/(-8)*1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2183054.\nAnswer: 2, 1091527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 1)\/1*-2. Suppose -3*t + 10 + 2 = -3*c, 4*t = -u*c. Solve 11 - 3 = -t*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-15))\/((-130)\/(-195))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**2 - 89961318*b - 228244102 with respect to b.\nAnswer: -4*b - 89961318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + 2040?\nAnswer: 2103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101221 - -322130?\nAnswer: 220303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5579054 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 2:14 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -193859 (base 14) to base 4\nAnswer: -3122020013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*l - 8. What is the smallest common multiple of l and (-30)\/9*(-12)\/10?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 765*w + 136. Let g(j) = 9*j - 10*j - 16*j - 3. Let n(f) = 136*g(f) + 3*r(f). Let y(l) = l**2. What is n(y(m))?\nAnswer: -17*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 2:09 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10651918 divided by 4\nAnswer: -5325959\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -104, -3.\nAnswer: -104, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/4820707 and -31\/102?\nAnswer: 28924242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a**3 - 13*a**2 + 39*a + 26. Give u(4).\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d. Let i(g) be the third derivative of -g**4\/8 + 2*g**2. Let x(v) = 4*v. Let m(s) = 3*i(s) + 2*x(s). Determine m(a(j)).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 66 - -2?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1817640\/60750 - 2\/(-25).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 330 = -4*v, 0 = v + 83*d - 79*d - 57. What is the greatest common factor of 7479 and v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68) + -2 + -5 + -2 + -2*sqrt(68).\nAnswer: -9 - 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 4:49 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1987645358?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-2\/13))**(-8\/9)\/(y**(-3))**2 assuming y is positive.\nAnswer: y**(614\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -174, -5, -88, -613.\nAnswer: -613, -174, -88, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 22. Suppose -5*o - w = j, -3*j - 3 + 24 = -4*o. Solve 0*g**j - 2\/7*g**4 + 4\/7*g**2 - 2\/7 + 0*g = 0 for g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 7:07 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -54 times -15135\nAnswer: 817290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + v - 2*v)*(360 + 1126 - 371)*(1 + 5 - 5)*(v - 4*v - 2 + 4).\nAnswer: -6690*v**2 + 4460*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*m - 136 = 0, k + 0*k - 4*m - 142 = 0. List the prime factors of k.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of 0 + 0*t**4 + 0*t**3 + 92*t + 0*t**2 + 1\/60*t**5 + 1\/45*t**6 + 1\/126*t**7. Find w, given that m(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, b: 1, u: 1, c: 2, q: 2}. What is prob of picking 2 c?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*w = -77*w + 200. What is the remainder when 78 is divided by w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 1 (b) -1.2 (c) -1 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85196298 is divided by 140.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 713 - 60?\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-2)*b))**10 assuming b is positive.\nAnswer: b**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 4*z**2 - z + 4. Let o be c(4). Let j = 16076\/3 - 5359. Let v = -3 - -2.8. What is the nearest to v in o, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -432856583638 + -0.1.\nAnswer: -432856583638.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11 + (-550)\/40 - -2. What is the fourth smallest value in a, -1, -58, -17?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -20*u - 10. Let h be f(-7). Suppose h = -2*m - 3*t, 175 + 125 = -5*m + 5*t. Let o = 141 + m. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 2*t + 11, -2*q - 11616 = 2*t - 11608 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 2. Let z be d(2). Solve -8 = -2*n + 4*n, -z*x - 4*n = 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16121 divided by 329?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 223230?\nAnswer: 223232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1486205.8139 to the nearest ten.\nAnswer: 1486210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 141 = -18*t + 2*t, -13*x + 294*t + 49 = 298*t for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1803437, 7214915, 16234045, 28860827?\nAnswer: 45095261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1676909, -1676852, -1676795, -1676738, -1676681, -1676624?\nAnswer: -1676567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(315) - 6*(4*sqrt(315) + sqrt(315)))\/sqrt(5))\/(sqrt(45)\/sqrt(5)*-1 - (sqrt(1089) + sqrt(1089) + 1*sqrt(1089) + sqrt(1089) + sqrt(1089))).\nAnswer: 29*sqrt(7)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -39 * 97757\nAnswer: -3812523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 192297 and 98?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddd. Give prob of sequence ddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203381.\nAnswer: 203381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 3*b = -924. What is the first derivative of -217 + 108*l + 6*l + b wrt l?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**2\/13 - 174140*l\/13 - 174142\/13 = 0 for l.\nAnswer: -1, 87071","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 41 = 5*f, 2*s = -7*f + 6*f + 7. Solve -3*c = i + f, 0 = 3*c + i + 4*i + 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13606 divided by 1.\nAnswer: 13606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, i: 1, g: 1, j: 2, n: 2}. What is prob of sequence njj?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 0*b - 727 = -b, 3*b + 155 = u. Let c = u - 84. Let w = c - -120. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -9. Let m(n) = n + 37. Calculate 9*i(d) + 2*m(d).\nAnswer: 2*d - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 - 25.5. Let u = -55 - -55.1. What is the fourth smallest value in -0.1, u, v, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 637, 2553, 5783, 10327?\n\"Answer: 657*y**2 - 55*y + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 - 3\/(105\/(-196)))\/7. Which is the closest to -1\/3? (a) -1 (b) -3 (c) y (d) 18\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2228877047.\nAnswer: 16091, 138517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 34 - 1252?\nAnswer: -1215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4365.50045814 + -4365.5. What is r rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, q: 4}. Give prob of sequence qxx.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 789222, 789217, 789200, 789165, 789106?\n\"Answer: -n**3 + 2*n + 789221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -58*c**7\/21 + c**6\/15 + 157*c**4\/6 - 38*c. What is the third derivative of s(p) wrt p?\nAnswer: -6960*p**2 + 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*z - 188*z + 108*z = 62*z + 11664 for z.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 196 and 1069033.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.0448 - 14.0526757. Round w to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27253*v**2 + 571*v - 189*v - 189*v - 193*v.\nAnswer: -27253*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 8. Let d(b) = -r*b - 4*b + 10*b. Let s(n) = 9*n. Let g(m) = -m. Let i(c) = -12*g(c) - s(c). Calculate d(i(z)).\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/2 + 15*g**3\/2 - 24*g**2 - 32*g.\nAnswer: -g*(g - 8)**2*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y + 17. Give c(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 h when two letters picked without replacement from jlhljlj?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2744*j - 113*j = 370*j - 338835 for j.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.048 - 0.052. Let u be 26\/65*15\/(-4). What is the closest to 1\/6 in s, u, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 132 = -81. Suppose 86 = -l*i - 152. Is 3 less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 10 = -2*l, -3 = -2*p + 3*l + 12. Sort 3, -1, 4, -150, p in decreasing order.\nAnswer: 4, 3, p, -1, -150","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.024020594515739 + -0.08\nAnswer: -0.104020594515739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 4:19 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 372 = 4*o, -3*o - 4*y = 37 - 341. Solve 226*n = 210*n - o for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 12*l. Let x(o) = 60*o. Calculate w(x(u)).\nAnswer: 720*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 10. Let y(x) be the first derivative of x**3\/3 - 7*x + 6. Let l(h) = -5*j(h) - 7*y(h). What is l(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -273, -1163, -2651, -4737, -7421, -10703?\n\"Answer: -299*i**2 + 7*i + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 - 7785*m + 7780.\nAnswer: 5*(m - 1556)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 62*l**2 - 63*l - 780. What is the units digit of z(-64)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27498.\nAnswer: 2, 3, 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 493431 = p + 14835593, -15*p - 3*b = 229934976. Round p to the nearest one hundred thousand.\nAnswer: -15300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1bc31c (base 15) to base 2.\nAnswer: 101001011011010001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -13*(-35)\/8 + 1\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33767\/10 - 6753\/2. Which is the fifth biggest value? (a) 0 (b) 13 (c) -2\/3 (d) -11\/2 (e) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142115 less than or equal to 142179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k + 4*k + 0*k + 3 - 1.\nAnswer: 4*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-five halves of a century?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 443239627 smaller than 443239627?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 4*l + 35. Let m be f(-8). Suppose -4*o + 522012 = -m*c, 30*c + 696015 = 26*c + 5*o. Round c to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 6*p**2 - 3*p + 1. Is q(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o**2. Let x(y) be the third derivative of 0*y**3 + 0 + y**2 - 1\/12*y**4 + 0*y. What is t(x(d))?\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-40) + 17\/(-28))*(-56)\/(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**2 + x**2 - 2*x**5 + (0*x**3 + x**3 - 2*x**3)*(22 - 22 - 11*x)*(4*x - x - x).\nAnswer: 20*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (4 - 16 - (14 + -14))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 11:25 AM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/3)\/((-1560)\/16848)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 104.47 + -103.06966. Let w = k + -1.4. Round w to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 156.19.\nAnswer: -31.238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(108))**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, u: 1, h: 1, j: 3, r: 1, o: 2}. What is prob of sequence rh?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1, 0.2, 2, -1\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -23*j + 2 + 12*j + 12*j + 3. Determine b(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/((-140)\/(-5575)) - 10\/35. Is -1 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 106 + 20. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hxv when three letters picked without replacement from {x: 3, j: 1, v: 1, h: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010011 + 1111101110101100101?\nAnswer: 1111101111011111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 25378, 24882, 24078, 22984, 21618, 19998, 18142, 16068?\n\"Answer: 3*j**3 - 172*j**2 - j + 25548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23747142 - -51?\nAnswer: 23747213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 2*n - 3*n)*(-2 + 1 + 3) - 2*n + 4*n - n - 4*n + 3 - 5 + 1.\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of r**5\/10 - 43*r**4\/24 + 9*r**3 + 20*r**2 + 4*r. What is the derivative of v(h) wrt h?\nAnswer: 12*h - 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 10:10 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.1 and 626582498888.\nAnswer: 626582498886.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/(-3)*150\/12. Let c = o - -84. Let t be (-2 - -3)*(1661 + c). What is t rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (90 - 9 - 9)*(4*l - l - l) to the form s*l + q and give s.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42444.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 + 63. Let y = m - 28. Which is the third smallest value? (a) 0.4 (b) -0.02 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 24 = 3*y - 2*y, 5*y - 46810 + 46720 = 5*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 626241.6 hours in milliseconds?\nAnswer: 2254469760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*h - 10. Suppose h*i - 3*i = 4. Suppose 2*u + 6 = 4*n, 5*n - 2*u - 15 = i*u. Which is bigger: 2\/5 or n?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/(-4) + 8 + 9. Let n(p) = p**2 - 127 + d*p + 256 - 125. Give n(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or 40560?\nAnswer: 40560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1491754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xzzs when four letters picked without replacement from {x: 1, s: 2, z: 2, d: 11}.\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 632425*a**2 - 41552*a**4 + 5563*a**4 - 632425*a**2 + (-4*a + 2*a + a)*(-3 - 2*a**3 + 3).\nAnswer: -35987*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7965 + 7970. Suppose -5*f = -f - 32. Solve -b*o = -2*a - 25, o - 2*a + a = f for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-21)\/(-28))\/(3\/2). Suppose x = -1 - 4, 3*x + 12 = l. Let s be (5\/(-4))\/((-3)\/4). Put s, l, a in ascending order.\nAnswer: l, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9709529521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 11 + (8 + -4 - -13 - -7).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 + 0*f + 0*f)*(-2 + 4 + 2).\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1833 - 713 = 224*d. Solve j - 19 = 5*f, 5*j + 0*j = d*f + 15 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 512 - 118 = -4*b, 2*f = -4*b + 412. What is the remainder when f is divided by 149?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oiuttizttz. What is prob of picking 1 o, 1 i, and 2 z?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -367 + 820. Calculate the remainder when j is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -104 - 4. What are the prime factors of (w + -21)*(-18)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/11 + 568*w\/11 + 16794\/11.\nAnswer: -2*(w - 311)*(w + 27)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*l**3 - 12167*l**2 + 130*l + 4843 wrt l?\nAnswer: 144*l - 24334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -4*d**2 - 2*d. Let q(u) = -9*u**2 - 5*u. Suppose 3*n + 0 = -9, -3*n + 31 = 4*v. Suppose 8*a + v = 3*a. Determine a*q(x) + 5*z(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 10*j - 100. Suppose 5*l = l + j. Is (-2 + l)*(-178)\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 6*j**2 - j - 3. Determine b(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*y - 106 = 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 o when two letters picked without replacement from {g: 1, h: 1, u: 2, p: 2, v: 1, o: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 >= 1.62768?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -166840606*c**3*l**3 - 35*c**3 + 3*c**2*l**2 + 3*c**2 - c + 4831*l wrt l?\nAnswer: -1001043636*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4 - y**2.\nAnswer: y**2*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of j**6\/75 + 21*j**5\/50 - 2*j**4\/15 - 28*j**3\/5 - 90*j - 3. Factor p(h).\nAnswer: 2*h*(h - 2)*(h + 2)*(h + 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28142 + 1621*l + 14095 + 14047.\nAnswer: 1621*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.1, -4.36, 90, 12\/5, -0.4 in decreasing order.\nAnswer: 90, 12\/5, 1, 0.1, -0.4, -4.36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 12*w**2 + 44*w - 524. Let j be f(12). Let u be (-1)\/(1\/10*2). Sort j, -3, 1, u.\nAnswer: u, -3, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -243 + 128. Let l = 134 + p. What is the highest common divisor of l and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(-3 - 114\/(-39)). Let x be (-2 - -3)*(-4)\/4. Let k be -2*2\/(-32)*-3. What is the closest to x in 5, k, g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -25*f + 25 + f**2 + 37 - 98. What is the smallest common multiple of g(27) and 114?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a century in months?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4017 - -137. Let l = m - -8601. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*q**3 + 19783*q**2 - 439918?\nAnswer: -9*q**2 + 39566*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o = 4*u - 4, 43300 - 43301 = -u for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v**2 + 2*v - 2*v)*(v + 5*v - 9*v).\nAnswer: 18*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 15, -5*b + 27 = h + 2*h. What is the lowest common multiple of h and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 - 928*p - 10450.\nAnswer: 2*(p - 475)*(p + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85227 is divided by 14183.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 143881\/70002 - -2\/11667. Calculate the common denominator of m and 87\/148.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 92 = -0*k - 24408*l + 24410*l, 134*l = -5*k - 636 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -8 - -1) + -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbtyttbybtbttbbyy. Give prob of picking 2 t.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (952\/48)\/17?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 73, -31\/4, 5?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of r**5\/20 + 13*r**4\/12 + 13*r**3\/6 + 27*r**2\/2 + 15*r. Let s be z(-12). Solve -2*l + 5*h = s, 0*h = -4*l + 4*h - 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.2579 from 0.2.\nAnswer: 1.4579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -2*a - a + 4*m, 0 = -2*a + 55*m - 58*m - 18 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21909367*g**6 + 1525*g**2 + 6297?\nAnswer: -2629124040*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 u, and 1 p when four letters picked without replacement from uupapcujpjujjuujuuj?\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(648\/32))\/(2\/(-18))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 275 divide 20564673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.9 + 3.90000154. Round f to 7 decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 131445 (base 9) to base 8\nAnswer: 233722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.6 + -0.391.\nAnswer: 3.209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/3)\/(8\/12). Let u = -3 + w. Is 3\/((u\/(-2))\/14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 14 = 2. Suppose 0*t + 2*t + 3*r - 7 = 0, 0 = 2*t - 2*r - 2. Suppose 2*m - a + 4*a - 1 = 0, 3*m - 5 = -a. Solve -t*u + m = -x for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11 + 665\/(-60) - 2\/(-24). Let p(x) be the second derivative of 0 + 1\/4*x**3 - 4*x + d*x**2 - 1\/8*x**4. Factor p(j).\nAnswer: -3*j*(j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 109475 and 715.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**7\/2520 - u**6\/120 + u**4\/3 - 4*u. Let m(l) be the third derivative of z(l). Let b be (0 - 4\/8)*-12. Give m(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y - 51. Let z be u(-26). Let i = 137 - 134. What is the highest common factor of i and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 345 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 134240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3953600 rounded to the nearest ten thousand?\nAnswer: -3950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31220 and 607229?\nAnswer: 1561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2 - 3)*(3*r + r - 6*r + (-1 + r + 1)*(0 + 1 + 0) - 6 + 6 - 6*r) + 0*r - r + 5*r.\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -6*x + 2. Let f be x\/(-5) - (-46)\/(-15)*-3. Solve 2 - 8 = -3*v - d, 4*v + d - f = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - 14. Let s be ((-5)\/(-2 + 3))\/(3 - y). Suppose 0 = -s*j + j + 216. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.107 + -2.107. Which is the third biggest value? (a) p (b) 2\/7 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -289? (a) 1 (b) 5\/4 (c) 7.8 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.01 + 0.11. Suppose -3*a = 15, 8*f + 30 = 3*f + a. Let l = f + 16. What is the second smallest value in -2, l, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -170587595 divided by -5.\nAnswer: 34117519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1204\/42)\/43)\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 2*b**2. Let t(u) = 3*u**2. Give 4*t(v) - 5*z(v).\nAnswer: 5*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3780 and 444?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -t**6\/120 - 3*t**5\/20 - t**4\/24 - t**3\/3 + 4*t**2. Let a be u(-6). Let c = a + 183. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*u**4 + 5385*u**3 + 12532*u**2 + 9540*u + 2384 = 0. Calculate u.\nAnswer: -596, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42.4 - -42.398542. Let t = s + 0.002. What is t rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 7. Let d be r(0). Let h(g) = -g**3 + 9*g**2 - 10*g + 4. Let x be h(d). Suppose 5*p = 3*p + x. What is the lowest common multiple of 18 and p?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.6 - 5. Let o = 2.16 - 4.31. Let i = -2.25 - o. Which is the biggest value? (a) i (b) 1\/9 (c) 2 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68054135, 68054138, 68054141, 68054144, 68054147?\nAnswer: 68054150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 14*k - 10. Let z be i(-9). Let q(u) = -9*u - 3. Let w be q(1). Let f = z + w. List the prime factors of f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -26513869.\nAnswer: 9\/26513869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 97704800941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 11*v + 127. What is k(-16)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -7, -3\/103, 0.1, 0, -2\/33, -0.03?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(0\/1 - -2). Suppose l*t = -3*t + 39. Calculate the remainder when 51 is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mromoooomoteoooedo. What is prob of sequence rdt?\nAnswer: 1\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7304.149 seconds?\nAnswer: 7304149000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/13 or 0?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 9*a - 8. Let b be t(8). Suppose b = -v + 10 - 3. List the prime factors of (v - 9\/(-3))\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 9. Let p be z(-5). What is the tens digit of p\/20*(-28 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - 0.4. Let j = 26940 + -26939.8. Let q = 0.1 - 0. Which is the closest to j? (a) 2\/17 (b) p (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*k - 21. Suppose -4*l + i + k = 0, -i = 5*l + 2*i - 25. Suppose -l*t - h = 0, 0 = t + 4*t - 4*h. Solve 0*g - 2*g + 8 = t for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 64?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0241454013 rounded to five dps?\nAnswer: -0.02415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -95 (c) -2\/21 (d) -65\/206\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*z = 167 - 82 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*y - 4, 5 = 3*w - y. Let i be 2\/w + 3\/1. Let o(z) = z**2 + 4*z - 1. Let t be o(-4). Sort i, t, 4 in ascending order.\nAnswer: t, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 25255111*h**2 + 33666*h. Let m(v) = 11252*v**2 + 15*v. Determine -5*j(u) + 11222*m(u).\nAnswer: -5611*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m + 10 = 18*m. Solve m*h = -2*t - 2, 2*h - 10 = -3*h for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 96 = 466. Suppose w - j = -5*b, -3*b - 3*w + 6*w + 111 = 0. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 + a + 2. Let f be j(-2). Suppose -12 = -5*y + f. Solve -y*p + 12 + 4 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4*a = -0*j - 24, 0 = -3*j + a + 28. Suppose -5*y + y = -j. Suppose 0*l = y*l - 116. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.33 take away -29?\nAnswer: 92.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 v when two letters picked without replacement from egveveoee.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 1. Let r be v(-2). Suppose 2*h = 3*c - r*h + 23, -5*h + 18 = 2*c. What is the second smallest value in -0.4, -1\/6, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 134\/3 + -44. Factor 1\/3*x - m + 1\/3*x**2.\nAnswer: (x - 1)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -182, 1.0429, 4, 0 in descending order.\nAnswer: 4, 1.0429, 0, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58244368 and 9156.\nAnswer: 3052","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 633402893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 241091 to the power of 1\/2, to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -738 = -o - 5*a, -15*o - 1471 = -17*o - 5*a. Suppose 1885 = 32*r + o. Is 32 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v - 2*u + 21 = -0*v, -5*v - 3201*u + 11 = -v - 3200*u for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.63 + 3.37. Which is the closest to -1? (a) 1\/8 (b) h (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j - 4*j + 3*j)*(-6*j**3 + 0*j**3 + 5*j**3) as h + o*j**4 + f*j**2 + z*j**3 + l*j and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 657\/382 or 2?\nAnswer: 657\/382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g = 30*g - 5552. Suppose 0 = -2*q + g + 139. Is q a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -p + u, -5*p - 2 = 5*u - 12. Let y be (-2)\/(-1*2) - -1. Suppose -n + 2*h = 3*h + p, -5*n - y*h = -2. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 4*n**2 + 7*n - 6. Let u be j(5). What is the derivative of -i**4 + 3 + 6*i**4 + u wrt i?\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*q = 8, -5*k - q = -3*k + 12. Let i = 1072\/18051 + 2\/1641. Which is the second biggest value? (a) i (b) k (c) 2\/3 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.2697595 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1\/f)\/f)\/(f\/(f**(-1)*f))*f**3*f**(-1\/2)*(f**(-3\/2)\/(f*f*f*f**0))\/(f*f**(-6)*f*f**5\/f) assuming f is positive.\nAnswer: f**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 157215\/1211 or 129?\nAnswer: 129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 32*u**2 + u + 75. Determine c(-32).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 677 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -18*g - 45 + 14, -14*g + 17*g + 5*a - 19 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -20\/9, 50, 4, -1\/4?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -59, 4 in descending order.\nAnswer: 4, -1, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 = -107*a + 16*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2166 + -2165. What is the nearest to -0.1 in 12, -0.5, t, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2118)\/2824*(-4)\/(-7)*(-3990)\/(-18)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2507 - -3647. Let x = 739 - b. Let f = 618 + x. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p + 30. Let j be r(12). What is the highest common factor of 26 and j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((((b*b**(-7))\/b)\/b*b)\/b)\/b*b)\/b**(1\/12))\/(b**(-1\/8)\/(((b**(2\/13)*b*b)\/b*b*b)\/b)))**(-26\/9) assuming b is positive.\nAnswer: b**(1811\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4*a**2 + 2*a - 3. What is w(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 159 - 1276. Suppose 0*r + 5*t + 441 = 2*r, -5*r + j = 2*t. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 7*f**2 + 8*f + 3. Calculate the smallest common multiple of u(-8) and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55114 take away -5216658779?\nAnswer: 5216713893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -204 - -224. What is the smallest common multiple of 32 and s?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, b: 6, h: 1, l: 3, x: 1}. Give prob of picking 1 k and 1 l.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1084 and 110900246.\nAnswer: 221800492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57 + -57. Suppose -1 = -d, 2*j = d - 5*d + 4. Let u be 2 + j - (130\/34 + -2). Is u less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/9))**(-9)*(l\/(l**(-1\/4)*l))**(-3\/28) assuming l is positive.\nAnswer: l**(-227\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -4\/5, -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 6.3. Let l = 17 - 17. Let k = -599\/3 + 2992\/15. What is the nearest to l in 2\/9, k, p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a week in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 21*y**2 + 68*y - 11. Let p(h) = 10*h**2 + 34*h - 6. Let w(d) = -11*p(d) + 6*r(d). Find the second derivative of w(m) wrt m.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15846 and 109254.\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 + -0.3. Let x = 63 + -64. What is the nearest to c in -5, 2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.09 - -0.39. Let a = 0 - j. Let v = 3.01 - 0.01. Put v, a, -4 in descending order.\nAnswer: v, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 6. Suppose 14*m - q*m = 0. Suppose -30 = -0*k - 2*k. Solve 5*j - 3*z - 25 = 0, m*z + 2*z - k = -3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -57798*r**2 - 238*r + 14070913.\nAnswer: -115596*r - 238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13050058 divided by 13050058.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288)\/sqrt(6) + sqrt(48) + sqrt(48))\/sqrt(12) + sqrt(4))\/((sqrt(12)\/sqrt(6) + sqrt(2))*1).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d - 8. Let x(t) = -t - 8. Let r(c) = 3*w(c) - 4*x(c). Let m be r(8). Suppose -4*n + m - 4 = 0. Solve 0 = 4*o + n*k - 7*k + 4, -3*k = -4*o + 1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one sixteenth of a millimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -11595?\nAnswer: 11598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253983.\nAnswer: 3, 31, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 211 - -208. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -724*x**3 + 2*x - 2*x + 718*x**3.\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 + 6108*s + 2277828.\nAnswer: -3*(s - 2358)*(s + 322)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*4*3\/(-216)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (10 + -10 - (0 + 1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 68.6 + -7.6. Let q = f - 62. Let t(l) = -4*l**3 + l**2 + 2*l + 1. Let o be t(-1). Which is the nearest to -1\/4? (a) o (b) 3\/2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) 0.4 (b) -5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 177860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 196.95 rounded to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 144 and 120.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*w + 35*w + 240 = 0. Let i be ((-18)\/(-8))\/((-2)\/(-40)). Let v = i - w. Solve 2*f - v*f = 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*z - 102 + 216 + 217 = -501 for z.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 81 and 12.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 1 = 2*p - 5, -p + 5*j + 20 = 0. Suppose -13*h - 112 = -41*h - 0*h. Solve q - h = t, 5*t + p*q = -q - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42330347 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*s - 4*d, 0 = 2*s - 7*s + 5*d + 5. Let i be -3 + 4 + (-3 - s). Which is the biggest value? (a) i (b) -0.1 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -552217 minus -10.31897?\nAnswer: -552206.68103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j + 18. Let s = -15 - -10. Let k = 130 + -64. Calculate the remainder when k is divided by x(s).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -35*v - 44. Let s(h) = 36*h + 43. Let d(j) = 5*s(j) + 4*x(j). Let l be d(28). Suppose -3*p = -2*n - l - 606, 2 = -n. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 98, 147?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**4 + 2*a**3 - 155*a + 129*a - 7 - 2*a**3 to o*a**4 + v + u*a**2 + m*a**3 + p*a and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 17112598*l. Let a(r) = -44*r**2. Calculate a(h(n)).\nAnswer: -12885004453622576*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 57 = 38. Let h(z) = z**3 - z**2 - 2*z + 3. Let i be h(2). Solve -3*n - 11 = 5*l + 2, -i*l = -n + p for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -6*g**2. Let v(z) be the third derivative of 0*z + 0*z**4 + 0 - 1\/30*z**5 - 84*z**2 + 0*z**3. Determine v(i(f)).\nAnswer: -72*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 181.0147 + -181. Let p = 58.3147 - s. Round p to the nearest integer.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((8\/8)\/((-30)\/12))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 270 and 3 - (-3)\/(17 + -8)*57.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 10*l + 23*l - 14*l)*(-2*l - 2*l - 9*l) + 4*l**2 + l**2 - 4*l**2.\nAnswer: 14*l**2 - 78*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -4*c**2 - 456*c - 1760 = 0.\nAnswer: -110, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 3:24 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -2142 and -28976 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10300 + 1?\nAnswer: 10301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 237926 * -24\nAnswer: -5710224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**3 + 111*u**2 + 283*u + u**3 - 111*u**2.\nAnswer: 2*u**3 + 283*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (60*(-2)\/(-39))\/((-342)\/(-2223))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5 + (sqrt(567) - (1 + sqrt(567))*-6)*6 + (-1 + -1 + sqrt(567) + sqrt(567))*-4))**2.\nAnswer: 214812*sqrt(7) + 5912757","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 493 and 2057?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from pppppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 - 14. Let v = -27 - c. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -107008258.21 rounded to the nearest 1000000?\nAnswer: -107000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -636, 3, -0.5, -340?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = -18*n + 9669. What are the prime factors of n?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11977*t + 712 = -12066*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d + 2*d - d - 187 - d.\nAnswer: 2*d - 187","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 510 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**5\/15 + 76*h**4\/15 + 206*h**3\/5 + 1664*h**2\/15 + 224*h\/3 = 0. Calculate h.\nAnswer: -28, -5, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -181 + 185 - ((1 - 1) + 12 + -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4543 = 150*j + 1373 + 1734 for j.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -23, -2, 0, -4 in ascending order.\nAnswer: -23, -4, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d*d*d**12)*d**(10\/3))**(-8\/7))**(11\/6) assuming d is positive.\nAnswer: d**(1408\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -52043.3091 and -0.82714.\nAnswer: -52044.13624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - 1. Let d(t) = -3558 - 2*t**3 - 46*t**2 - 2*t + 45*t**2 + 3556. What is the remainder when 51 is divided by d(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -0*w + w + 12, 0 = 2*d - 10. Which is bigger: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*g - 3*m, -4*g - 4*m = -10 - 2. Suppose -3*z = -g*z + 39. Is z a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 548355 is divided by 10967.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*b = -8. Let o be (-10)\/b - 9\/18. Let i = 8 - o. Which is smaller: 7 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 6:25 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 3*l - 8. Determine k(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61397 and 1074.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1679 and 1380.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -14315.\nAnswer: 4294.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 135963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(42)\/(sqrt(6) - sqrt(96))*-4 - (-4 + sqrt(448) + 1 + -3))**2.\nAnswer: -160*sqrt(7) + 11524\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*m + 6*m. Let k(r) = r**2. Let h(s) = 3*s**2. Let q(v) = m*k(v) + 3*h(v). Let u(f) = -4*f. Determine q(u(c)).\nAnswer: 32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 358 - 343 = 5*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/(m*(m*m*m**(3\/5))\/m)*m)\/(m*m*m*m*m\/(m*m**1)*m*m))\/(m**(3\/7)\/m**7))\/((m*m*m*m**2*m)**31)**(-1\/2) assuming m is positive.\nAnswer: m**(3324\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + c - 29 = 0, 3*c + 13 = 7*a - 2*a. Sort a, 4, 0, -3 in descending order.\nAnswer: a, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b**2*z**4 + 2270*b**2 - 256*b*z**4 + b - 5*z wrt z.\nAnswer: 8*b**2*z**3 - 1024*b*z**3 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o + 3*x + 1, 25*x = 4*o + 22*x + 17 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1333636.8 and -29425715.\nAnswer: -28092078.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, d: 1, r: 2, v: 6}. What is prob of sequence rd?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 49888 and -5.\nAnswer: -249440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + 20.99. Suppose 57 = -73*n + 276. Which is the closest to s? (a) 2 (b) 4 (c) n (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of k**8\/2856 + 22*k**7\/1785 + 29*k**6\/510 + 8*k**5\/255 - 59*k**4\/204 - 38*k**3\/51 + 5756*k**2. What is y in z(y) = 0?\nAnswer: -19, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1947357749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 7*y**2 - 5*y - 1. Let o be t(6). Suppose -j + o*v + 859990 = 0, -2*j + 4*v + 1719990 = -v. Round j to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -71 - -75. Let o = -0.1 - -8.1. Let b = o - g. What is the second smallest value in b, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -22*j**2 - 3*j + 6. Let p(s) = -s**2 + s - 3. Calculate -f(t) - 3*p(t).\nAnswer: 25*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -u**5\/20 - u**4\/3 + 13*u**3\/6 - 4*u**2 + 2*u. What is the units digit of g(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -36154?\nAnswer: -36154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 4 (b) 0 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 270 = -2*o + 84, -5*o + 868 = -m. What is the lowest common multiple of 8 and (-29)\/o + (-73)\/(-6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -581\/4 + 146. Let o be 898\/(-2040) - 4\/(-16). Let k = 2\/85 + o. Which is the smallest value? (a) -0.5 (b) q (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1431, -2860, -4265, -5634, -6955, -8216, -9405, -10510?\nAnswer: -11519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 511, 515, 529, 559, 611, 691, 805?\n\"Answer: y**3 - y**2 + 511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-2) + 4)\/(-2). Which is the nearest to y? (a) 2 (b) -1 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 15, -0.1, 4, 6, -0.3, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2268 and 2961.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -s**6\/120 - s**5\/20 - s**4\/24 + 2*s**3\/3 - 7*s**2. What is the tens digit of c(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 66*c - 1. Let n be p(5). Suppose -3*x - 5*t + 187 = 0, 0*x + n = 5*x + 4*t. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17613413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2096 + 2231.7. Let m = 136 - u. Let i = -7 - -15\/2. Which is the third smallest value? (a) i (b) m (c) -0.08 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 7*x**3 + 17*x**2 - 76*x + 26. Let y(i) = -2*i**3 + 3*i**2 - i + 4. Let g(w) = -m(w) - 4*y(w). Determine g(26).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 5*i + 32, 2*s - 5*i = -2*s + 44. Let g be (-327)\/(-306) - 2\/s. Let o = g + 1\/68. Which is the smallest value? (a) 2\/17 (b) o (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 471 + 170. What are the prime factors of w?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -0.08, -0.0148, -0.3, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2204262, 2204279, 2204296, 2204313, 2204330, 2204347?\nAnswer: 2204364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**5\/3 + 32*o**4 - 268*o**3 - 1888*o**2\/3 - 330*o = 0. Calculate o.\nAnswer: -55, -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -a + 3. Suppose 7 = 4*l + d, 0 = l - 0*d - a*d - 6. Suppose 5543 - 639 = 4*g - l*n, -4904 = -4*g - 5*n. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + j**2 - 2*j - 3. What is y(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of q**4\/8 + 5*q**3\/6 + 4*q**2. Let l(c) = c - 3. Let b be l(7). What is the tens digit of x(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10856\/64 + 1*(-6)\/(-16). Let v = 236 - b. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/((-765)\/(-81))*(-15)\/(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(2057) - (sqrt(2057) - (sqrt(2057) + sqrt(2057) + 3)) - sqrt(2057))**2.\nAnswer: 66*sqrt(17) + 2066","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1024110829.\nAnswer: 7, 20900221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x - 10. Calculate a(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 13*i + 14. Let s be m(-12). Suppose w + t = -s*w + 125, -4*t - 59 = -w. Calculate the remainder when w is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(52)*6 + 0 + sqrt(208) - sqrt(52)\/(2*sqrt(100))).\nAnswer: -318*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6534)\/21 + (-42)\/49. Let p = k + 1247\/4. What is the closest to p in -3, -5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28 - ((-24)\/(-3) - 4). Let i = -19 + n. Suppose -5*u - 4*k + 2 + 1 = 0, -k - 18 = -i*u. Solve -2*d + 6 = -u*c, -3*c = -4*d + 3 + 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(175) + (sqrt(7) + -3*2*sqrt(7) + sqrt(7) - sqrt(7)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 157*g**2 + 38*g + 116. What is the tens digit of v(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*4\/(-72)*4)\/(144\/(-108))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -10, 4\/7, -141?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_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 t be (2 + (-200)\/90)*18\/(-2). Determine q, given that 1\/3 + 3\/2*q**t + 5\/6*q**3 + 1\/6*q**4 + 7\/6*q = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33907730 to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, z: 1, s: 4, r: 2}. Give prob of sequence srj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2549, -2494, -2437, -2378, -2317?\nAnswer: -2254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/30 and 50\/35913.\nAnswer: 359130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 - 3)\/(-3 + 2). Let c = -18610 + 130268\/7. What is the nearest to q in 1\/4, -1\/3, c?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1240\/(-124) + (21 - 11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 7:33 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 36947520 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (634*p - 634*p - 105*p**2)*(12*p**2 - 135*p + 135*p).\nAnswer: -1260*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of 0*j**4 - 112*j**2 - 33\/5*j**5 + 33*j + 0 + 0*j**3. What is the first derivative of r(z) wrt z?\nAnswer: -396*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 3. Is -1 - f - (3 + -114) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxoooooog. What is prob of sequence obx?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-205)\/(437675\/(-1464))*5\/4.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -l**5\/60 + l**2 - 2*l. Let k(x) be the first derivative of v(x). Let p(y) = 2*y. What is p(k(q))?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxzxzxxx. What is prob of picking 3 x?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.095 or -9.19?\nAnswer: -9.19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5114 - 2e?\nAnswer: 50d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 77*o**2 - 13*o - 14. Let g(f) = 26*f**2 - 5*f - 5. Let j(n) = 17*g(n) - 6*z(n). What is the second derivative of j(u) wrt u?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-22 + 7 + 7 - -14) - 3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tz when two letters picked without replacement from tzttttzlttztzzat?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**7*x*x**11)\/(x**(-10)*x**(-6\/5)) assuming x is positive.\nAnswer: x**(151\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - m + 11. Suppose 0 - 6 = -3*x. Suppose -d = -x*d. Let q be v(d). Solve -2*l + 2*j = -6, 3*l - q - 2 = 5*j for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 8*f**3 - 2*f**3 + 14*f**3 - 5*f**3 - f - 5*f**2 as v + w*f + q*f**2 + g*f**3 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3064 (base 7) to base 4\nAnswer: 100303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27629 and 8351?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 875, 1776, 2677, 3578?\n\"Answer: 901*t - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) 0.1 (c) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 344826 less than -2.440968?\nAnswer: -344828.440968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**5\/30 - 4*w**4\/45 + w**3\/45 + 2*w**2\/15 + 17*w. Factor q(l).\nAnswer: 2*(l - 1)**2*(5*l + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-48)\/(-10))\/((-16)\/(-160)). Suppose 9*t - q = 5*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.9998 + 1.9638036.\nAnswer: 4.9636036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 130*r**2 + 3. Let l be k(2). Let j = l + 548. Is 15 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*sqrt(136)*-5 - (sqrt(136)*1 - sqrt(136))*-4)\/(1*sqrt(648)*-4).\nAnswer: -4 - 5*sqrt(17)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 848666362*d**2*o**3 - 20217*d**2 + 23796*d*o**2 wrt o.\nAnswer: 5091998172*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7}. Give prob of sequence oooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21096329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 11. Let h be (-2)\/((-2 - -1) + -1). Solve -n = -h - p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -2*m**6\/15 + 10*m. Find b such that n(b) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x + 21*x + 48 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 61400 and 168850?\nAnswer: 675400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + n + 220 = 0, -7*n = -3*n + 20. Suppose -35 = -2*r + d. Calculate the greatest common divisor of 3 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 53*j**3 - 22*j**3 + 42*j**3 + (j**2 + 3*j**2 - 2*j**2)*(j - 3 + 3) - 3*j**3 + 4*j**3 + j**3.\nAnswer: 77*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - 12 + 9 + 22)*(1 - 3 - 2 + 1 - 1 + 1 + (5 - 3 - 4)*(-1 + 3 - 4))*(-2 + 3 + 2).\nAnswer: -6*t + 57","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 9:07 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.891595 to one decimal place.\nAnswer: -11.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 5*u**3 - 3*u**2\/2 + 9*u - 3. Let h(z) = -8*z**2 + 2*z - 5. Let l(n) = 6*b(n) + 11*h(n). Calculate l(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9190 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 4*l - 3. Let c be n(-3). Let o(j) = j**3 - 7*j**2 - 5*j + 5. Let z(v) = -v**3 - v - 1. Let p(u) = -o(u) - 2*z(u). Determine p(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 - 3*d**3 - 6*d**3)*(4 + 0 + 0 + 3 - 3 + 1 + (2 - 1 + 0)*(6 - 2 - 3))*(-4*d**2 + 4*d**2 + 2*d**2).\nAnswer: -120*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2682)\/(-12)*(-6)\/(-9). Let p = 21 + s. Suppose g = -p - 200. Round g to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -497 or -508?\nAnswer: -508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/((2*sqrt(99))\/sqrt(9)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**2 + g - 5. Suppose -68 = 2*t + 15*t. Let j(a) = 2*a**2 + a - 4. What is t*j(p) + 3*d(p)?\nAnswer: p**2 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 974, 1040, 1106, 1172?\n\"Answer: 66*k + 908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -405*y + 6*y - 3*y**3 + 160*y**2 + 44*y**2 + 119 + 79.\nAnswer: -3*(y - 66)*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 101 - 185 - -164.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 16975651?\nAnswer: -1697565.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/64 and -143\/3360.\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 minus 0.2?\nAnswer: -15.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144552 and 171?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23021 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: What are the prime factors of 2715781?\nAnswer: 61, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1235)\/1092 + (-3)\/84?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54433 = 31*y + 56851 for y.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, w: 6}. What is prob of sequence dw?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55863 is divided by 27837?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 5) + 4 + (-20 - -30).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 - 7*i - 5. Let n(d) = -d**2 - d + 1. Let r(a) = -n(a) + u(a). Let j(g) = 3*g**2 - 5*g - 5. Calculate -6*j(t) + 5*r(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1779392 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/17)\/n*n)\/(n\/(n*n**19))*(n*n**(5\/11))\/(n\/n**(2\/15)) assuming n is positive.\nAnswer: n**(54614\/2805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-2))\/((-3)\/((-54)\/(-12)))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by 11940218\nAnswer: 9\/5970109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 10*f - 9. Let l be t(-8). Let y be ((-4)\/l)\/(10\/(-35)). Let s = 6 + y. Is 3 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17649 or -17665?\nAnswer: -17665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2915, -23394, -78993, -187274, -365799, -632130, -1003829?\n\"Answer: -2927*w**3 + 2*w**2 + 4*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 226 - -7. Let n = b - 223.28. What is n rounded to one decimal place?\nAnswer: 9.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7192334.\nAnswer: 2, 3596167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 1592*i - 33413. Suppose 90 = 2*q - 10. Calculate the remainder when q is divided by b(21).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m + 37*m - 92 = 0. Suppose -8 = 4*f + m, 2*q + 5*f = 381. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15977507.\nAnswer: 7, 13, 337, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tltldttllt. Give prob of picking 2 t.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54455.\nAnswer: 5, 10891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 2:48 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52738 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**2 + 8*b + 1. Give x(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 8*w - 5. Is r(13) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-552)\/(-20))\/(3 + 68\/(-20)). Let d = k - -72. Suppose 0 = -4*b + 4*c + 32, 0*c + c + 2 = 0. Which is smaller: b or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*v = -14, u + 3*u - 3*v = 8. Let r = 4 + 0. Suppose 3*b - 2 = r, -3*b = -5*j + 19. Sort u, 4, j in descending order.\nAnswer: j, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/28*14\/(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven quarters of a microgram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/17 in 1, -0.03, -27.984?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**4 + 193*x**3 + 3861*x**2 - 13293*x = 0 for x.\nAnswer: -21, 0, 3, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 5*i**2 - 5*i + 5. Let k be s(6). Let a(n) = 6*n + 1. Is 23 a factor of a(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 20*v**2 + 8*v - 52. Is z(21) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 b when three letters picked without replacement from {b: 2, v: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 62 * 4\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 137*v**2 + 7\/12*v**4 + 59*v + 0 - 5\/2*v**3. Find the first derivative of j(w) wrt w.\nAnswer: 14*w - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 1801987*o. Let v(k) = 3*k**2. What is v(q(j))?\nAnswer: 9741471444507*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k**2 - 18*k + 1. Let y be w(-5). Let h(v) = v**2 - 2*v + 14. Is h(y) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -5*a + 2. Let k(w) be the third derivative of w**4\/24 - w**2. Let t be (-1 + 0)\/((-7)\/21). Determine t*k(p) + y(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/42 - (-4)\/(-14). Is t >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 2\/11, 66, -4, 0?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -81246*b + 55105 with respect to b.\nAnswer: -81246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 210*o = -46, o + 1275 - 1252 = -w for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5}. What is prob of picking 2 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2316 + 2518. Which is bigger: 9 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(((-2124)\/(-172280))\/(9\/30))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + u)*(u - 4*u + u) + (-2*u + 0*u + 3*u + (2 - 5 + 1)*(3*u - u - u))*(9*u - u - u) in the form c + b*u**2 + x*u and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - -6. Let v = -111 + 120. Suppose 10*y - v*y = 2. Solve y*d + 4*r - 10 = 0, 5*d + r = d + s for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k*k\/(k\/(k\/((k*k**3\/k)\/k)))*k**(-2\/25)\/k assuming k is positive.\nAnswer: k**(-2\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/3)\/u)**(-2\/23)*(u*u\/u**(5\/2))\/u*u*u\/((u**(-3\/2)*u)\/u*u))\/((u**(-2\/29)*u**(-3\/4))\/(u**(-2\/3)\/u**7)) assuming u is positive.\nAnswer: u**(-45877\/8004)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 20. Suppose 5*k - 5 = 5, 2*k + 26 = l*h. What is the least common multiple of h and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (10488\/190)\/(8\/120) is divided by 210?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - x**2 + 2*x - 2. Let v(g) = -g**3 + g - 1. Calculate -2*d(i) + 4*v(i).\nAnswer: -2*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -n**6\/30 + 2*n**5\/15 - 10*n**2 - 4*n. Let o(l) = -3*l**3 + 5*l**2. Calculate 5*a(u) - 8*o(u).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -186bd1 (base 14) in base 16?\nAnswer: -d2ed3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 c, and 1 b when three letters picked without replacement from itvcqctbtci?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m - 2 + 6*m + 1. Let c(l) be the second derivative of -l**3\/6 - l**2\/2 - l. Let u be c(-2). Calculate x(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 25*c + 8. Let p be j(-24). Let m(g) = g**2 + 16*g + 8. Give m(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 5 (b) -2\/17 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 5, -8*u + 4*u - 17 = -f. Calculate the smallest common multiple of (-1)\/f + 23\/3 and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/((-78)\/(-126)) - (-544)\/(-32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 204 and 548692.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 412.687 + -411.987047. Let v = 0.7 - t. Round v to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 6*u + 3. Let b be o(-6). Suppose 0 = b*d - 5*d. Is d greater than -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1699\/12 or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 10:38 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than -714?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 239 - 75. What are the prime factors of j?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -64685*u**3 + 5*u + 6. Let h be b(-4). Suppose 0*d = -6*d + h. Let x = d + -1229971. What is x rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 8*c**2 - 3*c. List the prime factors of q(4).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-15)*m)\/(m**(-13\/4)*m)*(m\/(m\/(m*m**(3\/4)\/m*m*m)))\/m*m**(-6)*m*m)**(22\/3) assuming m is positive.\nAnswer: m**(-308\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/((-4914)\/21))\/((-22)\/66)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 128 - 126. Solve 5*g - 31 = 4*r, r - 7*g = -s*g - 19 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 229*l**8\/56 + 32*l**4\/3 - 277*l. What is the third derivative of a(d) wrt d?\nAnswer: 27480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pyjpylpyjjpjppj. Give prob of picking 2 y and 1 j.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1444, -1399, -1364, -1339, -1324?\n\"Answer: -5*y**2 + 60*y - 1499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - y - 4 = 0. Let g(h) = -33*h + 119. Let m be g(10). Let o = m + 219. Solve 5*w + o = -y for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.68*-0.11015.\nAnswer: 0.074902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a minute in seconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in -1, -7, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 69 = -2*j, 2*j = -0*j + t + 51. Suppose -2*o - 2*u + j = 3*o, 0 = o - 5*u. Is 6 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/30 + (-3)\/(-15). Let o = 2.5 + -3. What is the smallest value in o, 0, a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5*q + 21 = 0, 13 = -4*j - q - 2*q. Let v = j + 6. Let i be 1 + v - 36\/(-3). What is the highest common divisor of i and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 - 83480*j**2 + 13096225*j - 516068290.\nAnswer: 5*(j - 16538)*(j - 79)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/19243 and -53\/112.\nAnswer: 307888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 99856 by -12482.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + t - 52 = -60, t - 10 = -4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/50610 and 55\/84.\nAnswer: 101220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + r**2)*(-1 + 4*r**2 + 1) + 2*r**4 - r**2 + 0*r**2 + 2*r**2.\nAnswer: 6*r**4 + r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1396, 1397, 1398, 1399, 1400?\n\"Answer: d + 1395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5858801.2740879 and -4?\nAnswer: 5858805.2740879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 17 = f - 25, -4*k - 5*f + 22 = 0. Suppose -2 = -v + 3. Sort -3, v, k in increasing order.\nAnswer: -3, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.22 - -0.26. Let m = -2.83 + 0.87. Let s = n - m. Which is smaller: -0.2 or s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5964 and 12320?\nAnswer: 2624160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 220, 748, 1610, 2800, 4312, 6140?\nAnswer: 8278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(102) - sqrt(102)*-1)*5)\/sqrt(6) + sqrt(833) + (sqrt(833) - 4*(sqrt(833) + 0)))**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -144 - -158. Let h(m) = -34*m + c*m + 14*m + 10*m. Let s(j) = -j. Let g be s(-1). What is h(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4366.06 - 4328. Let s = g - 43. Let h = s - 0.06. Put 2\/7, -1\/6, h in increasing order.\nAnswer: h, -1\/6, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 590 + -363. Is 2 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2. Suppose -5*h = x + 40, 4*x + 4*h = -x - 116. Let v = -18 - x. Let p(z) = z + 5. Let b be (-1)\/(-2)*(8 - (-10 + 6)). Calculate b*o(d) + v*p(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*x = 774 + 532, -2564 = 4*q + 4*x. What is q rounded to the nearest 10?\nAnswer: -650","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18 or 7004\/407?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3514086, -3514204, -3514322, -3514440, -3514558?\nAnswer: -3514676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = -16974 + 30. What are the prime factors of w?\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-240)*6*(-1 - 0). Let l be (-4)\/6 + (-8)\/6. Which is the biggest value? (a) l (b) 5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -24, -33, -56, -99, -168, -269, -408?\nAnswer: -591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -29 - -8 - (-20 + (9 - 3)) - -2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 + 71. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 3. What is the remainder when 9\/((p\/(-6))\/(-1)) is divided by 0 + 11 - 1 - -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9a (base 15) in base 5?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13237 + -13238. Let g be 1\/(-4) - (-58)\/8. What is the second biggest value in g, p, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**2. Let a(o) = -16*o - 4. Let h(m) be the first derivative of m + 11. Let k(j) = a(j) + 4*h(j). Calculate w(k(d)).\nAnswer: -512*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44561842 - 0.3.\nAnswer: 44561841.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22934227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 945516 + -3?\nAnswer: 945513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1441 + 19?\nAnswer: 145a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) 859 (c) -0.08 (d) 1\/3 (e) -17 (f) 5\/4 (g) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((3 - 2) + 3)\/(-23). Are -1 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 22*h**2 + 75*h + 1. Let d be m(25). Solve -j = j - 3*i + 13, 3*i = -5*j - d for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11585 + 11599. Solve -l*j + 45 = -5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 698?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37089*k**3*v**5 - 3*k**3*v - 1915*k**2 wrt v?\nAnswer: 741780*k**3*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from imaauimiamajniimm. Give prob of picking 1 a, 1 j, and 2 i.\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 9 + 4, -2*b - y = 7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 3*x - 13, 4*l - 4 = -4*x + 24. Let c(o) = -18*o**2 + 17*o**2 + l*o**2. Let r(g) = -2*g**2 + 4*g**2 + 0*g**2. Give c(r(f)).\nAnswer: 12*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*k + 2*t + 27 = 27*k, -2*k + 28 = t + 19 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -c1?\nAnswer: -bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 45 = -15*r, -4*r - 82*n + 85*n - 12 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-7)\/t)\/t*t**(-7\/6))\/(t**(-1\/9)\/(t*t**(1\/3))))**8 assuming t is positive.\nAnswer: t**(-628\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-10)*(71\/1278)\/(2\/12)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 19*f**2 - 20*f + 4. Let x be m(20). Let c(y) = -5*y + 3*y + x*y - 12*y**2 - 2*y. Let g(u) = -8*u. Calculate c(g(w)).\nAnswer: -768*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 10*d**2 + 24*d - 8. Let f be k(12). Let z be 1 + 20\/(-16) + (-82)\/f. Solve 4*t - 2 = -z for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-2 - 7 - (-16 - (-9 - 24) - 12))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*h = -6, -3*h + 1 = -4*l + 2. Let o be 356\/28 - l - 4\/(-14). What is the greatest common divisor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = k - 2*k - 3, -5*n - 5*k = 15. Let y(j) = j - 3*j + n*j. Let t(f) = -11*f. Let s(p) = 6*p. Let a(l) = -7*s(l) - 4*t(l). Calculate y(a(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 h when two letters picked without replacement from {o: 2, u: 1, h: 6, m: 2, k: 4, v: 3}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4449603073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of 3*g**4\/2 + g**3\/3 + g**2\/2 - 9*g. Is a(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13 and -13.452.\nAnswer: -174.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 33*f = 30*f - 987, -2*f = -2*v - 490. Let t = v - -309. What is the least common multiple of 49 and t?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 4*h + 43. Let v(r) = -r - 1. Let w(g) = i(g) + 3*v(g). Is w(5) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 16, 5, -10, -29, -52, -79?\n\"Answer: -2*m**2 - 5*m + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*j**3 + 51*j + 5254.\nAnswer: 42*j**2 + 51","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (68\/3)\/(2\/6). Let s = -1 + a. Suppose 5*y + 3*p - s = 0, 3*y + 4*p - 26 - 12 = 0. 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: (-14 - 13 - -71) + -15\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -z - 110. Suppose -16 = -3*p + 20. What is the remainder when z is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2400939*z - 9603760. What is s(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -323.19 - 0.81. Let t = q + 324. Which is the closest to -2\/5? (a) -2 (b) 0.2 (c) 0.05 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -851, -1026, -1201, -1376, -1551, -1726?\n\"Answer: -175*c - 676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 + -37.9. Which is bigger: 2\/31 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*b - 1575 = 96*b. Let p = -504 - b. Calculate the greatest common factor of 9 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -12 + 98 + (0 - 0) - (533 - 525)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002472 rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -10 + 7. Let s be (6\/(-15))\/(n\/15). Suppose 5*u + 23 = 8. Sort 3, s, u in decreasing order.\nAnswer: 3, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4702, -4738, -4776, -4816, -4858, -4902, -4948?\n\"Answer: -g**2 - 33*g - 4668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j**3 - 5*j**2 - j + 21. Let s be i(-5). What is the derivative of 11406*x**2 + 13*x**4 - s - 11407*x**2 + 5*x**4 wrt x?\nAnswer: 72*x**3 - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 7*w**2 - 8*w + 6. Let k = -6 - -14. Give v(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/12 and (1*355\/(-210))\/(-9 - -70 - 8).\nAnswer: 4452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69 + 118 + -92 - -88\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -36, 2\/21, 0.5, 3\/5, 6545?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((8 + 6 - 1)*(3 - 81 - 39) + (-4 + 2 + 3)*(-3 + 2 + 2) + 1 + 2 - 2)*(-7*b + b + 2*b) as c*b + v and give c.\nAnswer: 6076","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -z - 6, 4*z - f = z - 8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(432) + -1 - (sqrt(12)\/sqrt(2))\/sqrt(2)) + ((sqrt(60)\/sqrt(5) - sqrt(12))\/sqrt(4) - sqrt(3) - sqrt(3)) + 0))**2.\nAnswer: -18*sqrt(3) + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -2*o - 16, -5*h - 35*o = 35*o + 365 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 90.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = q - 11, 5*b - 4*q - 2 = 29. Let j(h) = 0*h - 3*h - 3*h**3 - b - h + 8*h**3. Let f(w) = 11*w**3 - 9*w - 7. Give -3*f(s) + 7*j(s).\nAnswer: 2*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b - 6. Let k be w(-6). Suppose k = -3*g - 379505 - 1032169. Let i = -89442 + g. Round i to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -2*i**2 + 84 - 80 + i**2. Let x(l) = -3*l. Determine x(f(c)).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -5. Suppose -s - 9 = -4*s. Sort 4, z, s in increasing order.\nAnswer: z, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 2420.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2. Let r(o) = -404*o**2 - 17104*o + 17104*o. Calculate h(r(s)).\nAnswer: -163216*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -g**7\/210 + 5*g**6\/4 - 5473*g**5\/60 - 475*g**4 - 2888*g**3\/3 - 588*g**2. Factor p(o).\nAnswer: -(o - 76)**2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 302*u**3 - 4*u**2 + 4*u + 295. Let z(p) = 604*p**3 - 9*p**2 + 9*p + 588. Let v(t) = -9*a(t) + 4*z(t). Find the first derivative of v(k) wrt k.\nAnswer: -906*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/192285336 and -169\/44717520.\nAnswer: 1922853360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1590269*b - 4.\nAnswer: -1590269*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*b + 1 = 0, -4*b + 0*b - 14 = -2*o. Solve m - o*k - 13 = 3*m, -m - 3*k = 8 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4*m - 208869130. Suppose 4*j = m - 24434565. What is j rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15e (base 16) to base 2\nAnswer: 101011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*i + 16 - i**3 + 0*i**3 + 0 + i**2 - 10 + 0 in the form f + s*i**2 + n*i + c*i**3 and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3157931 a multiple of 199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-2 + 6)*(-15)\/(-2). Find the third derivative of 17*r**2 + h - 15 - 7*r**6 wrt r.\nAnswer: -840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46d2 (base 14) in base 3?\nAnswer: -121220220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 702462 is divided by 392.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -7 - q - q**2 - 7*q**2 + 9*q**2. Let l be w(2). Sort -1, l, 2, 9 in descending order.\nAnswer: 9, 2, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 u when two letters picked without replacement from {x: 1, g: 2, k: 2, e: 1, u: 1, w: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 506282 - 347284. Suppose -4*f + 26998 = c. Round f to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2832\/(-2360)*2\/14)\/(4\/30).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34660 - -84175. Suppose -t + 0*r + 2*r = -9890, 0 = -5*t - 3*r + q. Round t to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**8)**44*((f**(-1\/5)\/f)\/f)\/((f**(-3\/40)\/f)\/f) assuming f is positive.\nAnswer: f**(2815\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - o. Let x(i) be the second derivative of 9*i**4\/2 + 21*i**3\/2 - 83*i + 1. Let b(t) = -l(t) + x(t). Find the second derivative of b(y) wrt y.\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -26*a + 75. Calculate the remainder when h(-4) is divided by 150.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 266 + -259. Is 2 - 3 - 20710\/(2 - n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (14\/(-672))\/(11\/309) and 77\/6?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + 6*((-2 + (2*sqrt(176))**2 - (sqrt(176) + 0 + 1)) + 5).\nAnswer: -24*sqrt(11) + 4239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 17*b - 35 = -13*b, 0 = b + 5 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 97 - -3627?\nAnswer: 3702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 69293279 a multiple of 787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 104083190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -53, 9, 85, 151, 183, 157?\n\"Answer: -4*g**3 + 31*g**2 - 3*g - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1290494, -2581046, -3871600, -5162156, -6452714?\nAnswer: -7743274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.68096 less than 0.4?\nAnswer: 58.08096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 398 = -368 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*d + 4*d. Let t(z) = z + 7. Let l be t(d). Let s(q) = -5*q**2 + 81*q + 8. Let p be s(15). Calculate the highest common divisor of p and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (17 - (-221)\/(-13)) + -13. Sort 0.1, 5, 4, p, -9 in ascending order.\nAnswer: p, -9, 0.1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, 491\/11, -5, 27 in descending order.\nAnswer: 46, 491\/11, 27, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-96 + 42 - 192)*((2*c + 0*c + 0*c)*(2 + 0 - 3) - c - c + c).\nAnswer: 738*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 0, -1 in descending order.\nAnswer: 0, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 6*f**3 - 3*f**3 - 2*f**3 - 155 - f**2 + 71 - 18*f + 90. Calculate v(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - y = 3*o - 10, 2*o = 3*y + 9 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + (-164332)\/7068 - 3. Let f = 1\/7068 + w. Calculate the common denominator of 89\/16 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -7*l**3\/6 - 137858*l. Let y(b) = b - b - 7*b. Give 5*k(g) - 4*y(g).\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3181 - -3097. Which is smaller: q or -675\/8?\nAnswer: -675\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -69*z**4 + 52*z + 302*z**4 - 110*z**4 wrt z.\nAnswer: 1476*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -7*k**2 - 6*k - 6. Let r(m) = m**2 + m + 1. Let h(b) = -g(b) - 6*r(b). Let a(x) = -2*x**2. Determine h(a(w)).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4768)\/(-2384) + 58\/(-14)?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i + 5. Let r(t) = -t. Let x(g) = 4*r(g) + w(g). Let y be x(6). Is -8 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 805265 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1199 and 176?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*c**6 + 10*c**3*i**3 - 8*c**2*i**3 - c**2 + 2*c wrt c.\nAnswer: 1560*c**3 + 60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 3:11 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + u - 1. Let m(z) = z**3 - 19*z**2 + 4*z + 20. Let g(t) = 6*h(t) - m(t). What is the units digit of g(25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/a**0)\/a)\/((((a\/(a*a**(-2\/27)\/a))\/a)\/a)\/a))\/(a*a**0)**41)**30 assuming a is positive.\nAnswer: a**(-10550\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 21*d**2 - 3. Suppose -5*z - 4 + 19 = 0. Suppose 6*b + 21 = 2*b + z*q, -11 = b + 5*q. Is t(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 39\/(-156) - 34\/(-72). Suppose -4*h = -2*y - 12, -5*y - 15 = 3*h + 2*h. Sort -0.5, y, c, -8 in increasing order.\nAnswer: -8, y, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 45\/12 + -3 + (-197)\/(-4). Let p(w) = -w**3 - 10*w**2 + 23*w - 10. Let r be p(-12). What is the greatest common divisor of k and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0831033 to 3 dps.\nAnswer: 1.083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 55*k**3 - 3*k**2 - k + 10. Let n be y(10). What is n rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7777 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -97273 by 5.\nAnswer: -97273\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -66?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/7)\/q**(-4\/7)*((q\/(q*q\/(q*q**(1\/6))))\/q)\/(q**(2\/19)*q*q))**(-7\/3) assuming q is positive.\nAnswer: q**(2117\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.48 + -28.48. Let d = -365.3 - -365. Put -0.1, d, z, -4 in decreasing order.\nAnswer: -0.1, d, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2 - 32*k**5 + 2 - 18*k - 8*k wrt k.\nAnswer: -640*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 2*t + 0*t - 18)*(3*t**2 - 396*t + 396*t).\nAnswer: 6*t**3 - 12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 3:28 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44889 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of k**3\/6 + 3*k**2 - 3*k. Give s(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/21)\/(150\/(-84)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285516.\nAnswer: 2, 3, 7, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 6:25 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + sqrt(175) + sqrt(175) + ((sqrt(175) + -1)*-6 - sqrt(175)))*-4 + (-6*sqrt(70)*1)\/(sqrt(490) - sqrt(490)*-2 - sqrt(10)).\nAnswer: -24 + 797*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 8*s - 9. Let o be m(5). Let a(b) = -2*b + 21. What is the remainder when 42 is divided by a(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ydyyyuytyduy. Give prob of picking 1 d, 2 u, and 1 y.\nAnswer: 14\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1048 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -12*x - 20. Let v be d(-4). Solve -4*o = 2*a - v + 2, a = o + 1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 55.2215 from 3.\nAnswer: -52.2215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 82.9 < 8.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 6. Suppose -v*b + 5*f = 2*f - 351, -2*f = 5*b - 571. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -263\/3 + 88. Let n = -0.1 + 1.1. Which is the biggest value? (a) k (b) 0.4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (8 + (-15 - 17 - -14) + 119)\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 a factor of 56272992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 170.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (50\/18 - 3)*-1. Which is the closest to 1? (a) s (b) 1\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 5 = -o. Let u(l) = -l**2 + 9*l + 4. Let t be u(o). Suppose 0 = -5*m + 3*m + t. Calculate the lowest common multiple of 4 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 8*g + 8. Let c be n(-8). Suppose c = 3*x + x. What is the third derivative of -2*l**2 + 13 - 13 - 6*l**6 - x*l**6 wrt l?\nAnswer: -960*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 7*n**2 - 2*n - 10. Suppose 3*q = 3*v - 9, v - 17 = 3*q - 0. What is j(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 5*k**2 + 25*k + 13. Let x be y(-8). Let u(w) = 6*w + 3. Let l(p) = -3*p - 1. What is x*l(c) + 2*u(c)?\nAnswer: -3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) -32\/3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 219582918?\nAnswer: -1\/109791459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4874104 to the power of 1\/3, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 711 - 710.999999241. What is m rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 5*w + 6. Let s be c(1). Let z(o) be the first derivative of -1\/5*o - 1\/15*o**3 + 5 + 1\/5*o**s. Find j, given that z(j) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 191\/1050 and 97\/24?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 at least as big as -3565\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.115 - -0.11572. Round h to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25561 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + y - 2 = 0. Let n = 3106\/11459 - -24\/1637. Which is the fourth smallest value? (a) y (b) -3 (c) n (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 40.3, -0.2, -3\/104, 4.\nAnswer: -0.2, -3\/104, 4, 8, 40.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 175 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nen when three letters picked without replacement from enenneenneeenn?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-34) - (-2303)\/799. Solve 0 - 6 = -y*f - 4*h, 0 = 5*h - 15 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14256\/(-130680))\/((-3)\/(-5))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*u)*(4*u - 2*u + 0*u) + 6 - 2*u**2 - 6.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t = 10*t - 9600. Does 15 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 7*y**2 - 4*y + 1. Let q(b) = -32*b**2 + 18*b - 4. Let n(h) = 2*q(h) + 9*t(h). Let z be -1 + 1 + 1*2. Give n(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 139*v**2 + 1745*v - 28082. What is g(127)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9786960 divided by -203895\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2108651.\nAnswer: 31, 251, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 411 = -3*m + 3*f, 5*f = -2*m + 239. What is the greatest common factor of m and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*z - 72 = 64*z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, q: 2, s: 10}. What is prob of picking 1 s and 1 q?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 - -202013?\nAnswer: 202032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*j + 79543, 25*g = 30*g + 3*j - 397715. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a hour in minutes?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*s - 22 = -0*s, -5*s + 30 = -5*r. Let o be (-3 - -1)\/(r\/6). Suppose 2*d - o = d. Solve -3*p - 1 = -5*v, 3 = d*v + 2*p - 9 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 3*a - 215 - 1225, -a = -2. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13572, -54146, -121770, -216444?\nAnswer: -338168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 9*i**2 - 8*i - 2. Let p = -26 - -30. Suppose n = 2, z + 3*n - p = 6. Let b be (-3 - 5\/(-5))*z. Calculate c(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a millimeter in micrometers?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -264638, -264637, -264636, -264635?\n\"Answer: j - 264639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.5 + 2. What is the biggest value in g, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147351 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -5*o + 64, 932*o + 3*r + 25 = 930*o. Suppose 0*b - 2*b = 0. Let a be 3\/(-2)*2\/(-3). Put b, o, a, -12 in ascending order.\nAnswer: -12, b, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 5*y**3\/6 + 13*y**2\/2 + 6*y. Is 3 a factor of c(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -1. Let t = -5 - -4.6. Let x = 2.1 + -2. Which is the closest to -2\/9? (a) p (b) x (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -36*w. Suppose b - y - 7 = -b, -3*y = 2*b - 3. Let z(o) = -o**2 + 0*o**2 - 3*o**2 + b*o**2. Calculate q(z(g)).\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 - 34020.\nAnswer: -34012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*b + 10. Let l be 3\/2 - (-15)\/6. Sort b, 3, l in ascending order.\nAnswer: b, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2061565717?\nAnswer: 29, 2003, 35491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide (-49)\/(1078\/(-399608)) - 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 655.\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36260 = -s + 29*s. Is 16 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 990253, 1980840, 2971441, 3962062, 4952709?\n\"Answer: d**3 + d**2 + 990577*d - 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1828 (b) -57 (c) 1 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g - 1. Let n(m) = 5*m - 3. Let q(f) = 11*f - 5. Let z(o) = -5*n(o) + 2*q(o). Let s(y) = 3*y - 4. Let r(b) = -6*s(b) - 5*z(b). Give j(c) - r(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 - 35 - (-3 + -3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -7, 2\/11, 3, -17, 1\/5 in ascending order.\nAnswer: -17, -7, -0.2, 2\/11, 1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (1760\/1200)\/(1\/30)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*n - 6*n - 6*n)*(-3 + 0 + 1)*(n**3 - n**3 + n**3).\nAnswer: -20*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (27 - (20 + -17 + 13))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 2*x**2 + 11*x - 8. Let b be z(4). Let q be (-5)\/(b + 1) + 2. Which is greater: -1\/4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v. Let t(y) be the third derivative of -44*y**2 + 0*y**3 + 7\/24*y**4 + 0*y - 4 - 1\/60*y**5. Give t(b(d)).\nAnswer: -16*d**2 + 28*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 563 - -4?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -335 + 166. Suppose 0 = -r - 3*x + 8*x - 58, 2*r + x + 94 = 0. Let i = r - c. What is the remainder when i is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2*(sqrt(133) + 3*sqrt(133)))\/(sqrt(112)*1 + sqrt(7)))**2.\nAnswer: 1216\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 630*r + 11338. What is p(-18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 divided by -3542?\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14267512 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a**3 - 4*a**2 + 3*a - 12. Let t be l(3). Solve -36*v + t = -219 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3497598 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*m = 12, 2*x = 15*m - 10*m + 14. Suppose -h - 18 = 2*i - 50, -32 = -h + x*i. Find the common denominator of 39\/83 and h.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + 24 + (4 - 31) + 9?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of x**5\/20 + 5*x**4\/12 + x**3\/2 + 2*x**2 + 22*x. Calculate i(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2684 is divided by 191.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 3*k + 21 = 0, -20*s - 8*k = -21*s - 30 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence np when two letters picked without replacement from pnzynpn.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, 3.5, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1171?\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(15)*-2)\/((sqrt(3) + sqrt(15)\/sqrt(5) + sqrt(3))*6).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 659834.\nAnswer: 2, 7, 6733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*h - 109*h - 121*h = 2*n - 80, -6 = 2*h - n for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 489.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from evkeevllev. What is prob of sequence ee?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2467.52703s in days?\nAnswer: 0.028559340625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 575175 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 341 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.4 + -3.6. Let o be (-152)\/228 + (-3)\/(-9)*3. Which is the closest to 8? (a) -0.2 (b) o (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.6 - 17. Let i be 10\/(((-5)\/2)\/(-5)). Suppose -23*n + i = -27*n. Which is the nearest to 0? (a) -0.3 (b) o (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)*-4)**2 - -1*sqrt(66)\/sqrt(6).\nAnswer: sqrt(11) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/1*((-15)\/10)\/(-1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-5))\/(d\/(d\/(d*d\/d**(6\/11)))))\/(d\/(d**(-2\/33)\/d)*d*d**7) assuming d is positive.\nAnswer: d**(-512\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2932147448?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 4, 7, 20, 49, 100, 179?\nAnswer: 292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 162103000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*y**2 + 74*y**2 - 59*y**2 + 22*y**2.\nAnswer: 149*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4 + 2496*v**3 - 40569*v**2 + 114966*v + 412128.\nAnswer: 3*(v - 9)**2*(v + 2)*(v + 848)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 9) to base 5.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or 409060?\nAnswer: 409060","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2258089 to the nearest integer?\nAnswer: 1503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -2.5. Suppose 0 = 9*i - 6*i + 63. Let d be 9\/6*28\/i. Which is the closest to d? (a) -2\/5 (b) 3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 445*m - 273. Let h be k(-6). Let z = h - -4414. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 860947 divided by 401\nAnswer: 2147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 198 + 40. Suppose 4*m + h = -214. Let b = 201 + m. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000360366 rounded to six dps?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 11*p. Let a(x) = 667*x - 126. Determine a(w(l)).\nAnswer: 7337*l - 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of 1\/6*x**3 + 14*x + 0*x**2 - 3\/20*x**5 + 0 + 0*x**4. Let f(v) = 4*v**3. Determine -2*f(u) - 3*r(u).\nAnswer: u**3 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/(-63))\/((-4)\/(-18)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 987 + -393. Calculate the smallest common multiple of 16 and x.\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h. Let x(j) = -1208*j. Determine d(x(l)).\nAnswer: 3624*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 338839855 take away 0.173?\nAnswer: 338839854.827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141*x**2 + x - x + 0*x.\nAnswer: -141*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = w + 3103, -12406 = -2*w + 6*w - n. Let u = -652 - w. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 937361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 570, 932, 1534, 2376?\n\"Answer: 120*p**2 + 2*p + 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-244)\/1586 + -1 + ((-417)\/429)\/(-1). Put x, -420, 0.07 in ascending order.\nAnswer: -420, x, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92674067?\nAnswer: 61, 719, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 p, 1 x, and 1 y when four letters picked without replacement from {p: 1, y: 3, o: 5, x: 1, e: 1, l: 4}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3112, -0.5, -4, -3, 5, -115.26?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -8149 - 3*t**2 - 417*t + 8149 + (-t**2 + 3*t**2 + t**2)*(-3 + 2 - 1) + t**2 - t**2 - t**2 in the form j*t + r + k*t**2 and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 2:30 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k**2 - 4 + k + 0*k - 2*k**2. Let s be t(-3). Suppose 7 = 3*q - s. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -2, 0.1, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5741485 millilitres in litres?\nAnswer: 0.0005741485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -43 - 1 - (-119 - (12 - 141))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*b - 36 = 0. Suppose 0 = 2*h + 136 - 140. Suppose 2*w = 3*c - 3*w - b, -h*c - 2*w + 28 = 0. Is 11 less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + -50 - (-3)\/(-1). Let z = d - -102. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 3*w - 1. Let k = -2 + 3. Let v be z(k). Let n = v - 3. Sort 4, n, 0.\nAnswer: n, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332278287 is divided by 133.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23774661 + -4?\nAnswer: 23774655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -1\/4 (c) 5.3 (d) 4\/5 (e) -1.19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1707291316?\nAnswer: 2, 426822829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 3*x**2 - 2*x + 1. Let r be a(2). Let n be (-30)\/((-2904)\/30 - -4). Let p = 13\/29 - n. What is the closest to r in 1\/6, p, -0.5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -95*t**2 - 2*t + 4272. Let r(l) = 30*l**2. Determine h(r(k)).\nAnswer: -85500*k**4 - 60*k**2 + 4272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a meter in centimeters?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 282355 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -8*g**3 + 6*g**2 + 6*g - 1. Let q = -40 + 58. Let a = q - 12. Let k(c) = 9*c**3 - 7*c**2 - 7*c + 1. Determine a*k(y) + 7*v(y).\nAnswer: -2*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -146 + -3?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/290950 and -32\/87285?\nAnswer: 872850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13429 = -1278*c - 5937 - 40432 - 15604 for c.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 16824*o - 841198. Let s be u(50). Let x = 2 + -3. Let h = -21\/4 + 281\/52. Which is the third biggest value? (a) s (b) h (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -252420\/4671139 - 2\/126247. Put -75, u, -4 in decreasing order.\nAnswer: u, -4, -75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 11:44 PM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115152 is divided by 11488?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -5395229 smaller than 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37 and 50801?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 25 and -741?\nAnswer: 766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a*d*u**3 - 26*a*d - 61*a*u**3 + 475*d*u**3 + d + 635 wrt d?\nAnswer: a*u**3 - 26*a + 475*u**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4142219441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/4*(-12)\/45*6. Solve p*o + 3*c - 31 + 6 = 0, -4*o + 5*c + 1 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mk when two letters picked without replacement from {m: 3, a: 1, h: 12, k: 4}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/((4*sqrt(32))\/sqrt(8)).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, x: 4, h: 1, r: 1, u: 3}. What is prob of sequence xh?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 251*i + 806 - 53. What is the third smallest value in -1, -1\/3, -13, -2\/7, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2759590342 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -5 (b) -175 (c) -1\/13 (d) -235\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 330, -0.47, 0.5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 86*a + 22. Let f(i) = -15*i - 4. Let d(k) = 6*b(k) + 34*f(k). Let t(s) = -3*s**2. Calculate d(t(g)).\nAnswer: -18*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 + -30. Let j = -0.4 - -0.2. What is the nearest to j in 0.3, -2, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**2 + 2*b + 7. Let h be m(-7). Suppose -4*g + 2*u + 221 = 3*u, 0 = -3*u - 9. Calculate the highest common divisor of g and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 2\/15, -47.\nAnswer: -47, -4, -2, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 0 + 0*d**2 - d - 1\/36*d**4 - 1\/9*d**3. Factor l(r).\nAnswer: -r*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 92272476*f*t**2 + 172366*f - 22*t wrt t?\nAnswer: 184544952*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13339 - 320105\/24. Let f = -72476\/11 + 6584. What is the common denominator of f and p?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/(2 + 0 + -1). Calculate the highest common factor of 50 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2381*u - 299. Let y(j) = 595*j + 74. Let o(g) = 2*x(g) + 9*y(g). Is o(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 4*r + 10, 25*r + 22 = i + 20*r. Solve 0 = i*s - 3*j - 12, 0 = 2*s - 9*j + 14*j + 20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 6*d - 134. Let v be k(23). Let s(i) be the second derivative of -1\/3*i**v + i + 0 + 1\/2*i**2 + 0*i**3. What is the derivative of s(r) wrt r?\nAnswer: -8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (-2)\/4*0. Suppose -4*x + 16 = 3*y, 5*y - 4*x = x + 15. Suppose 3*a = 6*g - l*g + 63, -y*a - 4*g = -84. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 51?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 459.5887ng?\nAnswer: 0.0000000000004595887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-35) + (-2)\/14. Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2230 + -4034325?\nAnswer: -4032055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((30\/(-36))\/1)\/(3\/6)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a week in hours?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -20, -4\/5, -0.1?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3255072?\nAnswer: 2, 3, 41, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8308 - 6525. Calculate the remainder when v is divided by 56.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 649008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 262, 4, -1, -13, -35, 8.\nAnswer: -35, -13, -1, 4, 8, 262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n + 22. Let i be b(13). Suppose g - 1 = i. What is the greatest common factor of g and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7122913 centuries to decades.\nAnswer: 7.122913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*r + 5. Let h be ((-33)\/(-9) - r) + -3. Let f = 0.5 + 4.5. Which is the closest to -1? (a) h (b) f (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5*f**2 - 4*f + 30. Let l(o) = 16*o**2 + 13*o - 89. Let p(c) = 7*i(c) + 2*l(c). What is the first derivative of p(h) wrt h?\nAnswer: -6*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 8*h**2. Let x(d) be the first derivative of d**3 - 308. Calculate -5*u(g) + 14*x(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 11*b**2. Let v = 26 + -19. Let i(c) = 6*c - c - v*c. Determine f(i(o)).\nAnswer: 44*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + sqrt(396) + (6*(sqrt(396) + 0 + sqrt(396)) - sqrt(396)) + (2 + (sqrt(396)*-2 - sqrt(396)) + sqrt(396) + sqrt(396))*-3)**2 + 4.\nAnswer: 89104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7 + -2 + (-98770)\/(-10962). Are -1 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-63)\/(-78))\/((-746)\/(-4849))?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 3203?\nAnswer: -960.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*m + 2*v - 4908, -3*m + 2952 = 3*v. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 373*t - 2 + 371*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 555, 500, 8, -4 in descending order.\nAnswer: 555, 500, 8, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-3)*((-1008)\/40)\/(-14)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 244847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 65 and 250.\nAnswer: 3250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -248 - -1242\/5. Let m be ((-12)\/15)\/(4\/(-30)). Let z be (m\/8)\/((-60)\/32). Which is the closest to z? (a) -0.5 (b) l (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 8 and 14 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 61225951.\nAnswer: 3\/61225951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 113822.36+-5239\nAnswer: 108583.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2940253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2376*u + 24 - 39 + 52 + 2372*u - 37.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -9*a**2 + 2*a. Let d be x(2). Let y = 43 + d. What is the lowest common multiple of y and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence scl when three letters picked without replacement from cgcsbllsglsci.\nAnswer: 9\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**3 + 58*o**2 + 11*o - 33. Let l(z) = z - 3. Calculate -22*l(j) + 2*x(j).\nAnswer: -4*j**3 + 116*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 357 by -270609.\nAnswer: -119\/90203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -9 + (-5 + 5 - -14). What is the closest to 4.7 in -0.2, -3\/4, i, 0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 41 = 5*q - 3*q, -4*q + 102 = 2*x. Let j be (-8)\/q - 10\/14. Let t(i) = -61*i - 1. Let b be t(j). What is the highest common factor of 24 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 2*t + 59 = 3*u, t = 3*u - 22. Let k = 53 + t. Is 16 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7074275\/(-130)*(2 - (-28)\/(-10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 5*j**2 + 4. Let p be q(5). Let f be (-40)\/12*(-3)\/2. Suppose -f*s + 6 = 3*h - p*h, s + 2 = h. Let k(z) = z. Give k(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2556900 and 935636?\nAnswer: 3788","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 264905 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p - 46 = -7*p - 24*p. Let w(z) = 3*z + 3. Let d(h) = h**3 + 2*h + 4. Give p*d(y) - 3*w(y).\nAnswer: 2*y**3 - 5*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59546703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -2*v + 18, 57*h - 5*v = 61*h - 9 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 22 - 4)*(-7*x + 19*x + 17*x)*(0 + 3 - 5) as n*x + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19738685 to the power of 1\/3, to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, 2\/3, -25338\/229?\nAnswer: -25338\/229","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + 2 + (3 - 3). Is 4\/31 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -9*l + 4. Let r(a) = -16 - 19 + a + 34. Let f(k) = i(k) + 2*r(k). Calculate f(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -8.9. Let r = -130 - -129. Is q smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(11) + 0 - sqrt(110)\/sqrt(160).\nAnswer: 1 + 3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**4\/4 - 15*t**3\/4 + 29*t**2\/2 - 21*t + 10 = 0.\nAnswer: 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 143.6 - 138.6. What is the closest to 1 in 0.2, 7\/5, f, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 456 = 20*d. What is the closest to d in -17, -5, 0?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*s - 52. Let k = -18 + s. Suppose -k = 4*d, -5*a + 280 - 49 = 2*d. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 5*n - 2. Let t = -41 - -36. Calculate s(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (14\/6)\/(148\/100788)?\nAnswer: 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 2*y + 0*y)*(0*y**3 + 11*y**3 - 4*y**3 + (0*y**3 + 2*y**3 - y**3)*(-1 - 1 - 1)).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 2*k**3)*((-k - 2*k + k)*(37 + 9 - 10) + 2 - 2 - k).\nAnswer: -146*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -z**5\/60 + 3*z**4\/8 - z**3 - 91*z**2. Let r be l(8). Let o(s) = 5*s - 12. Give o(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/405? (a) 20\/7 (b) 3 (c) -1\/3 (d) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 682 - (6 - 16) - 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/20 + -1\/5. Let o be (12\/15)\/((-12)\/(-10)). Which is the nearest to f? (a) -2 (b) o (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b5 (base 12) in base 3?\nAnswer: -210002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -913 = -46*o - 63 + 199 + 423 for o.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 - 260*g - 526. Give n(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1010 + 4?\nAnswer: -1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 7*a + 8. Let q be t(-6). Suppose 2*s + 35 = q*i - 29, 2*i - 4*s = 72. What is the remainder when i is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19303339361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*d - 16 = -0*z, -z - 4*d + 16 = 0. Suppose -5*y + 0*y + 50 = z. Suppose 6*j - y*j + 12 = 0. Calculate the greatest common factor of 27 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2196, -2539, -3182, -4173, -5560, -7391, -9714?\nAnswer: -12577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 347257198.\nAnswer: 2, 17, 600791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -2, 34 in descending order.\nAnswer: 34, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 d, and 1 h when three letters picked without replacement from ccchhdchcduccxdoudh.\nAnswer: 32\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1ac + d?\nAnswer: -19d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04027165 rounded to three decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose j + h + 156 = 0, 2*j + 2*j - 5*h = -624. Let v = j + 86. Let p = 172 + v. Is p a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 716a (base 12) to base 2.\nAnswer: 11000000100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -18*w - 17. Let o(c) = -50*c + 94. Let v be o(2). Let z be 100\/6 + 1\/3. Let i(q) = -6*q - 6. Give v*l(n) + z*i(n).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010111001001011111 - -11111?\nAnswer: 1010111001001111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -39*n + 9. Let u(y) = 39*y - 10. Let s(v) = 6*p(v) + 5*u(v). Is s(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yytcxbj. Give prob of sequence xb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n + 4. Let d be q(9). Let h = 85 - d. Suppose -5*p - h = -5*a, 2*a + 2 = -5*p + 3*p. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 20. Let j(y) = -y - 19. Let g(m) = 4*j(m) + 3*v(m). Determine g(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/4, 23, -2, 2.3, 1\/3, -0.3 in ascending order.\nAnswer: -2, -7\/4, -0.3, 1\/3, 2.3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259*j - 263*j = -20. Suppose -4*a + 2*a = -9*a. Let d(c) = -2*c**3 - 2*c**2 + 2*c. Let v be d(-2). Solve a = j*g - g + v for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -2. Let n be 7 + -8 + l\/((-10)\/88). Let q be (-1 - 3\/(-2))*18\/n. Put -1, -0.5, q, 1\/7 in descending order.\nAnswer: 1\/7, q, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2890 + 132949\/46. Which is smaller: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109 = -2*d + 5*z, -78*z + 74*z - 82 = d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, 36, 82?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**3 + 507*m - 507*m.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 126531762613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -13*l**3 - 5*l**2 - 5*l + 7. Let m(o) = -20*o**3 - 8*o**2 - 8*o + 11. Suppose 1 = -3*s - k + 11, 4*k + 20 = 0. Calculate s*m(y) - 8*v(y).\nAnswer: 4*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -8. Suppose -4*m - 3*q = -w*q + 609, 0 = 3*m + 2*q + 454. Round m to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-4 - -8) + -32 + 28.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zgfzgfqxgazzzgfgg. What is prob of picking 1 q, 1 z, 1 f, and 1 g?\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1022130131 (base 4) to base 2.\nAnswer: 1001010011100011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7790*z**4 + 8*z**3 - 416*z - 174721181?\nAnswer: -31160*z**3 + 24*z**2 - 416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 746 - 254 = 4*s - 3*k, -3*k + 390 = 3*s. What is the highest common divisor of s and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + x + 13 = 0. Let c = -11 - x. Let i(u) = u**3 + 10*u**2 - u - 8. Let b be i(-10). Calculate the greatest common factor of b and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 3 + 3)*(4*s - 3*s - 2*s)*(35*s**2 - 3244 + 3244).\nAnswer: -105*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/1 + 4 + (40 - 20). Let o(z) = -z**3 + 7*z**2 - 7*z. Let q be o(5). What is the tens digit of q\/y - 188\/(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**3 - 11*c**2 + 2*c + 34. Give t(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -386 divided by 35\nAnswer: -386\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/1204 and -59\/322.\nAnswer: 27692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 100214451 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 p = 24 + -17. Suppose v + t = -2, -3*v - 3*t - 6 = -p*t. Let z(s) = -43*s - 2. Does 17 divide z(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 7.7. Let r be (-1 - -2)\/(-3 - -1). Let t = -0.05 + -2.95. Put b, t, r in descending order.\nAnswer: b, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3207 + -32107\/10. Calculate the common denominator of (-4)\/1 - (-39)\/2 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 8:42 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3914080 rounded to the nearest one thousand?\nAnswer: -3914000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 * -99896.\nAnswer: 1598336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + -88. Let n = m - -99. Which is the closest to 1\/4? (a) n (b) 2\/9 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005106102 to 7 decimal places.\nAnswer: -0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hqx when three letters picked without replacement from {h: 1, e: 1, x: 1, q: 1, u: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q*q**(-4)))\/(q\/((q*q\/((q*(q*q**(-1\/6))\/q*q*q)\/q*q))\/q)))**49\/(q**(-2\/5)\/q*q**2)**(-28) assuming q is positive.\nAnswer: q**(749\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14432.\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 649*t**2 + 125*t - 1237. What are the prime factors of n(10)?\nAnswer: 139, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -j + 3*j - 21, 6 = j + b. Calculate the remainder when 494 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -1371*a - 15039. Give s(-11).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -10*p - 1252. Let w(d) = -2*d - 14. Calculate -6*w(g) + z(g).\nAnswer: 2*g - 1168","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -5*b**6 - b**4\/2 - b**3 + 7*b**2\/2 + 19. Find the third derivative of f(s) wrt s.\nAnswer: -1800*s**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14753, 29510, 44267, 59024?\nAnswer: 73781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 144, 215, 286, 357?\nAnswer: 428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*r - 23*r - 9*r**3 - 582*r**3 - 12*r**2 + 0*r**2 - 199*r**3 wrt r.\nAnswer: -4740","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 299 - 38.62784442.\nAnswer: 260.37215558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 20 + 10. Suppose -q = q - j. Solve 0*g = q*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -903 or -929?\nAnswer: -929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/36)\/g*g**(-1\/9))**(4\/3) assuming g is positive.\nAnswer: g**(-41\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**3 + 0*t**3 + 2*t**4 + 0*t**4 - 3*t**4 + 2*t**4 + (t**2 + 5*t - 5*t)*(2*t + 2*t**2 - 2*t) - 17*t**4 - 44*t**4 + 27*t**4.\nAnswer: -31*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 9*d + 7. Let l(s) = 14*s + 11. What is 5*l(a) - 8*o(a)?\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -1.9 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 17 - 69179*p - 67454*p - 30.\nAnswer: -136633*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 59*z - 61*z + 4. Calculate the remainder when -2 - -1 - -2*3 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-7\/2)*m**(-36)*m)\/(m**(2\/21))**(-7) assuming m is positive.\nAnswer: m**(-227\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 t when three letters picked without replacement from ttmmutkeem.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a + 2. Let k be h(-5). Is (k - 0)\/(-3) + 22 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 112512 by 4688.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 14993.\nAnswer: -14989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*g + 26*g - 94 + 22 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 377, 2\/3, 19\/4, 1\/4, -1\/2.\nAnswer: -1\/2, 1\/4, 2\/3, 19\/4, 7, 377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-1 + 3) - 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-198)\/11)\/(-126))\/((-288)\/(-126))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, q: 2, r: 3}. What is prob of sequence rprr?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -1000?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 1 + t**2 - 3 - 4 to s + d*t + j*t**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 92 - 125 = 5*t, 0 = -k + 5*t + 21 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 48*b**2 - 54*b + 325. Give y(47).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -7*f + 707, 0 = -4*f + 4*t - 8*t + 404. Calculate the highest common factor of f and 505.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3464 divide 1357912248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1377 - 305?\nAnswer: 1072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1993 * 0.2\nAnswer: 398.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/6 and 77\/128?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wzzwwwwwzzzzwz. Give prob of picking 2 w and 1 z.\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence olmo when four letters picked without replacement from {m: 4, o: 4, c: 2, l: 2}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4663*s + 18631 = 4062*s for s.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q - 4*c = 13*q - 66, 173*q - 179*q + 106*c = 2026 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -386995, -773989, -1160983, -1547977?\nAnswer: -1934971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -154 (b) 1\/8 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**5 - 5*n + 5*n + ((5 - 2 - 1)*(-2 + 2*n + 2) - n + 0*n - n - 39*n - 16 + 16)*(-2*n**4 + 0*n**4 + 4*n**4).\nAnswer: -73*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1457 a factor of 1077952321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 5*o + 4*o)*(0 + 5*o + 0) + 3*o**2 - 1 + 1 + (3 - 3 - 3*o)*(4*o - o + o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 2*d - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, p: 1, z: 1, k: 2}. Give prob of sequence kk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2660157 divided by -207\nAnswer: -12851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -x**2\/2 + 7*x + 27. Suppose 2*i = 3*l + 7*i - 21, -5*l + 4 = -2*i. Let w(y) = 3. Calculate l*m(v) - 5*w(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g + 1. Let k(d) = 8*d + 50. Let p be k(-6). Let l(s) = -12*s**p + 14*s**2 - 2 + 2*s - 3*s**2. Let m be 4 - (-3 + (0 - -1)). What is m*y(f) + 3*l(f)?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3. Let l(o) = o + 6. Let f(d) = 5*h(d) - 2*l(d). What is the remainder when 71 is divided by f(-8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h. Let t(a) = 4340*a - 558. Let k(i) = 62*i - 8. Let o(p) = 279*k(p) - 4*t(p). Determine o(v(c)).\nAnswer: 124*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2161396*k**2 - 10537485 wrt k.\nAnswer: 4322792*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a tonne in kilograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b + -159a?\nAnswer: -157d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qvqsnnnqqsnvnsq. What is prob of picking 3 q and 1 v?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + -6.123?\nAnswer: -6.323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 + 54. Suppose a = -6*x + 4*x, 3*a + u = -4*x. Let i(b) = -b**3 - 7*b**2 - 7*b + 8. Calculate i(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157 divided by 1.\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -7\/2, -4, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1828270226 rounded to the nearest 1000000?\nAnswer: -1828000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1084826.00063 - -1084676. Let s = -150 - c. Round s to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 9*i**2 + 11*i**2 + 7*i**2 + 9*i**2 - 35*i**2. Let f be -75*((-16)\/(-20))\/(-2). Let p(q) = -2 + 0 + f*q + 2. Give p(d(m)).\nAnswer: 30*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -629 + 618.79. Let z = v + 0.21. Let o = -9 - z. Which is the nearest to o? (a) -1 (b) 5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 41701*y - 60*y**2 + 41670*y - 83337*y as c + h*y + q*y**2 and give h.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -n + a + 2, 12 = -3*a. Let i be (-13)\/(-3)*(-30)\/(-18 + 8). Let o be 8379\/(-1729) + 1\/i*-2. Put o, n, 3 in increasing order.\nAnswer: o, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**1\/w*w**(-3\/5)\/w)**(-37)*w**(1\/4)\/w**(-1\/5)*(w*((w\/(w*w\/((w**1\/w)\/w)))\/w)\/w)**(-4\/25) assuming w is positive.\nAnswer: w**(-1387\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 12.01. Let m = i - 0.01. Let r = 20 - 19.9. Sort m, r, 0.5 in ascending order.\nAnswer: m, r, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3903.52 + 3806. Let t = 0.52 + w. Let i = t + 96.999909. Round i to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -811 - 8065*i + 2325 + 1731 with respect to i.\nAnswer: -8065","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 2) + 0 + -4 + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61948, 123911, 185862, 247801, 309728, 371643, 433546?\nAnswer: 495437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*f = 11*f + 116. Suppose 0 = 2*m + 3*d + 2, f*m = 16*d - 13*d + 32. Solve -25 = -2*k - m*z, -4*k + 5 = -0*z + z for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in -3, 0.1, 18\/19?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 628100 rounded to the nearest 10000?\nAnswer: 630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62 - 62 + 124 - 33*y to the form b + t*y and give t.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 0*y**4 + 25 + 23\/6*y**6 + 0*y + 0*y**5 + 32\/3*y**3 + 0*y**2. What is the third derivative of c(u) wrt u?\nAnswer: 1380*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 3*o - 480, 5*z + o = 3*z - 320. Let w = z + 569. What is the derivative of -4*c**3 - 10 - 409*c + w*c wrt c?\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5936 is divided by 2928.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/471 and -49\/12717?\nAnswer: 12717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/347 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqqttrtrsttvrtvr. Give prob of picking 1 r and 1 q.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233788 is divided by 2829.\nAnswer: 1810","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0)**22\/(o\/((((o**9\/o)\/o)\/o)\/o*o)*o*o*o**(-8)*o) assuming o is positive.\nAnswer: o**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/532575 and -77\/511272.\nAnswer: 12781800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (7 - (1 + 5 - -8))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 4*d**2 - 7*d - 7. Let x be p(-5). Suppose -2*h = x*h - 5. Let s be (-4)\/26 - 132*h\/(-13). Solve -3*a + 2*u + s = -0*a, a + u = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence km when two letters picked without replacement from eemgkgkkgygg.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12373, 11220, 10061, 8896, 7725, 6548?\nAnswer: 5365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 664 and 200280?\nAnswer: 132985920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 71607 + -171?\nAnswer: 71416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 236 and 27824.\nAnswer: 1641616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 68*x + 38 - 348*x - 15*x**3 + 315*x**2 + 5 + 15*x**5 + 17 - 95*x**4 = 0.\nAnswer: -2, 1\/3, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -16*z + 12*z - 42, -14 = 2*c + 3*z for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/30446 and -59\/50076644.\nAnswer: 650996372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.5 and -24573.\nAnswer: 61432.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ngbglnjnjnncc. What is prob of picking 1 l, 1 c, and 1 b?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 359280683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -13 - 7*(-2432)\/1456?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -2.9 (b) 0.4 (c) -1\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8667 is divided by 1236?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.156419 rounded to four dps?\nAnswer: -0.1564","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/3 + 1 - (-195)\/(-117)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -57094810359.\nAnswer: -57094810358.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 10*f + 2. Let o be h(11). Let b be o\/(-5)*20\/4. Suppose 4*g - 21 + b = 0. Solve g*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vsvg. Give prob of picking 1 g and 1 v.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 365071765, 365071766, 365071767, 365071768, 365071769, 365071770?\nAnswer: 365071771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t + 5*t + 10*t + 1.\nAnswer: 21*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5 = -2*b, -5*j = -4*j - 3*b - 5. Suppose -j = -2*g + 13. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/6 - 28\/(-6). What is the units digit of ((-3)\/6)\/((-2)\/k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 276, 313, 366, 429, 496, 561, 618, 661?\n\"Answer: -c**3 + 14*c**2 + 2*c + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 0*a**3 - 1\/4*a**4 + 0*a**2 - 52 - 9*a. Give o(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3 - 6*y + 3)*(5 - 1 + 4) to v + o*y and give o.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r**2 - 10*r + 20. List the prime factors of d(3).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 2*m + 87, 0 = -258*l + 259*l + 4*m + 159 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 148 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - (-5 - -5))\/(1\/4). Suppose 30*d - 32*d = -w. Let c be (1130\/d)\/(2154\/(-720) - -3). What is c rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 219, 497, 887?\nAnswer: 1389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/((y*y**7)\/y))\/(y\/((y**(-3)*y)\/y))*y**(-7)*y\/(y**6*y) assuming y is positive.\nAnswer: y**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7459957 a multiple of 905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -45836, 2, -5 in descending order.\nAnswer: 2, -4, -5, -45836","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*u + 20 = -45*u, 5*i = -2*u + 133. Calculate the smallest common multiple of 600 and i.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1759 + 4.8241. What is the second biggest value in t, 0.2, 3\/4, -15?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**5\/15 - 14*z**4\/5 + 1046*z**3\/15 - 5054*z**2\/15 + 716*z\/5 + 8288\/15 = 0. Calculate z.\nAnswer: -37, -1, 2, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 16 = 4. Let r(a) = 63*a - 20*a - 30*a + v. Let x(h) = h**2. What is r(x(c))?\nAnswer: 13*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-122 + 13*y + 122)*(4*y - y + y) + y**2 + 3 - 3 in the form p*y**2 + w + l*y and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1601120951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1569357?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0. Let f = 1239\/31 - 43562\/1705. Let b = f - 73\/5. Which is greater: b or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, g: 4}. Give prob of sequence gxx.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -6*b - 4. Let d be s(-1). Suppose 0*u + 44 = 5*u + d*r, -4*r = -8. What is the least common multiple of 4 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13260 - 9010. Let v = -25427\/6 + q. Calculate the common denominator of 187\/30 and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = -16*i - 1568. Let a = i + 112. What is the remainder when 85 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 99\/45 + -2 + 1118\/10 and 672.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28\/355 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 8*b**2 + 17*b - 4. What is i(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 10 - 4*f**2 + f**2 as a*f**2 + s*f + t and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 2*g + 3. Let l(c) = -1. Let i(t) = -2 + t + 7 + 0*t + 1. What is g*i(d) + 6*l(d)?\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 - 21. Let z be 1\/(-8) - u\/16. Find the third derivative of -29*f**3 - 5*f**z + 10*f**2 + 29*f**3 wrt f.\nAnswer: -120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.132 - -58.118. Let s = 62 - z. Let a = s - 4.2. Round a to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3160*a - 2825*a - 4779 = 3261 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -13.2 + 26201416\nAnswer: 26201402.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 82 - 58 + 19*i**2 + 57*i + 11*i**2 - 152*i = 0. Calculate i.\nAnswer: -7\/6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*d**2*s**2 - 3258352*d**2*s + 17731*d*s**2 - d*s - 2*s**2 wrt s?\nAnswer: 30*d**2 + 35462*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.3282 + -0.3282. What is the third biggest value in 31, t, -2\/5, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + y = 0. Let c = y + 2. What is the units digit of 18\/8*c*2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4*sqrt(52)\/(sqrt(4) + 1*sqrt(4))*3*6 + -5.\nAnswer: -36*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 2*o - 4*l, 0 = 5*l - 3*l - 8. Let f be o\/(15\/(-6)) + -7. Let h(j) = -j + 6. What is the units digit of h(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 + -10. Suppose 0*n = n - w. What is the highest common factor of n and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.14, -46, -3\/2, -354 in ascending order.\nAnswer: -354, -46, -3\/2, -0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 10*p - 3. Let g(f) = -3*f + 1. Let y(n) = 7*g(n) + 2*o(n). Let d(s) = 4. Calculate -d(j) + 3*y(j).\nAnswer: -3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.068 - -0.15959173565.\nAnswer: 0.09159173565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 479 * -47\nAnswer: -22513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(-2*n + n + 0*n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -o**3\/6 - o**2 + 11*o. Suppose -5*f = r - 114, 2*r - 8 = -0*r. Suppose -7*i + f + 20 = 0. What is x(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(11) + 1) - (sqrt(11) - (0 + sqrt(396)))) + (2 + sqrt(539) + 1)**2.\nAnswer: 43*sqrt(11) + 544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 30*w - 201. What is r(14)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 + -5 + 8 + -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12971472 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -259, -265, -281, -313, -367?\nAnswer: -449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -40130?\nAnswer: -40130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 2*r + 120. Let l = -156 - r. Let a = l + 64. Is a bigger than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*b + 15*b**3 + 4*b**2 - 5*b**3 - 7*b + 2*b**2.\nAnswer: 10*b**3 + 6*b**2 + 11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(605) + sqrt(605) + (sqrt(605) - 1*(sqrt(605) - (sqrt(605)*2 + sqrt(605) + sqrt(605)))))**2 + -3 + -3*-1*sqrt(605).\nAnswer: 33*sqrt(5) + 21777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = q - 60. Let k be (-2)\/(-4) - q\/8. Suppose 0*t + k = t. Solve 3 = -t*i, 3*i = -f - 2*i - 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*c + 0*c + 6*c)*(0 + 0 - 2)*(-3 - 2*c**2 + 3).\nAnswer: -24*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-4)*6*2. Suppose 9*x + 408 = 417. What is the closest to x in -2\/3, s, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s + 2. Let n(h) = -h**2 + 9*h + 7. Let t be n(10). Let f be 1\/(t\/(3 - 12)). List the prime factors of z(f).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -766*w**2 - 19*w**2 + 3*w - 1424*w**2.\nAnswer: -2209*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.44 + 0.24. Suppose -9 = 3*m - 24. Which is the closest to n? (a) 0 (b) m (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/4 (b) 0 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence di when two letters picked without replacement from ddidbbbdvbdiidi.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 equal to 650\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -169\/2 in -6, 0, 3, 0.2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -313506 (base 7) to base 5.\nAnswer: -3212402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 608087.\nAnswer: 608087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -25, -34, -45, -58?\n\"Answer: -d**2 - 6*d - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77612 is divided by 198.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 483 + -469. Sort -10, z, -2.\nAnswer: -10, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -448*g**2 + 3646*g - 3642*g - 53*g**2 - 57*g**2 to the form f*g**2 + t*g + i and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 4*z**2 + z - 5. Let g be b(-4). Let w be ((-84)\/g)\/(4\/18). Suppose 0 = 2*t - 0*t - w. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/4)\/(2\/12). Suppose d*x + 1 = 16. Calculate the greatest common divisor of 15 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/15029 and 31\/3955.\nAnswer: 75145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/(sqrt(48) + sqrt(3)))\/(-5*-1*sqrt(8)))**2 - -4*(0 + sqrt(1125))*-6.\nAnswer: -360*sqrt(5) + 1\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.054 minus -67128?\nAnswer: 67127.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 8 + 2 = 0. Let p(x) = 4*x**2 + f - 2 + 6*x**2 + x**3 - 4*x**2. Give p(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1925936 and 704.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 62\/279*(-7308)\/(-8). Solve 168 = -5*r + h for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33122 (base 4) in base 8?\nAnswer: 1732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 229*k**6\/120 + 21*k**4\/8 - k**3\/3 - 192*k**2. What is the second derivative of p(r) wrt r?\nAnswer: 1374*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1603668.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-2))\/((-9)\/2193*-17)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38528575*k**3 - 21665742?\nAnswer: -115585725*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*g = 1258 + 378, 5*g = 5*x - 2055. Calculate the highest common factor of 37 and x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*m + 49*m - 58 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22047812 is divided by 3149687.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.34764 days to nanoseconds.\nAnswer: 2622036096000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 448751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2918 (base 11) to base 14.\nAnswer: 1534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1369.3553 to 0 decimal places.\nAnswer: 1369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 2*b = -34, 144*c + 31*b = 148*c - 63 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6024, -23934, -53784, -95574?\nAnswer: -149304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -447306.6 to the nearest ten thousand.\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -37.2, -2, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11.2+1787478\nAnswer: 1787489.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b - 1. Let w be q(5). Suppose i = 4*y - 13, 4*i = -y + 2*i - 8. Solve -4*l + 16 = 2*x, w*x = -y*l - x for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/129 (b) -9\/2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkk. What is prob of sequence kkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -1651*r**4 + 2087*r**2 - 4*r - 4. Let s(z) = 1652*z**4 - 2088*z**2 + 5*z + 5. Let q(b) = 5*l(b) + 4*s(b). Find the third derivative of q(o) wrt o.\nAnswer: -39528*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.69 (b) -3 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1244?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4572 and -4.2.\nAnswer: -4576.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 2, -45, 3\/7 in descending order.\nAnswer: 4, 2, 3\/7, -1, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -10288536.\nAnswer: 5144268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -127389460 divided by 1098185\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -247021.1 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 167802 - 839009\/5. Let k = -2 - -1. Let x = -65\/539 + -3\/49. Put k, x, z in decreasing order.\nAnswer: z, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -163, -494, -839, -1030, -899, -278, 1001?\n\"Answer: 28*m**3 - 175*m**2 - 2*m - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -396, -1579, -3544, -6291, -9820, -14131?\nAnswer: -19224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 246 - 242. Which is the nearest to 2\/7? (a) i (b) 11 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -0 + 2. Let g(d) = d - 7. Let x be g(6). What is the smallest common multiple of (0 - x)\/n - -15 and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*b = -k + 11, 3*k - 4*b + 8 = 0. Solve -s + 9 = -k*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 71428.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 9*q**2 - 5*q - 6. Let r be y(7). Let c be r - (6*2)\/(-4). What is the highest common factor of c and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16068 in 2\/5, -2\/39, 2\/7, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 12 + 5 + (-1 - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -55 (c) -9 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6804 divided by -7?\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (36 + -22 - 23) + 19\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2 = 10, o - 5*k = 67. Suppose l = -2*b + o - 4, 108 = 5*b + 3*l. Calculate the highest common factor of b and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-18 - -6) + (-8 - 7).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 1, -2.\nAnswer: -4, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-52)\/(-4)*7\/((-7)\/8). Let s = x + 194. What is the remainder when s is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1610955 greater than or equal to -1610956?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (15 - 4 - -1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*d - 3*d**2 + 40*d)*(0 + d + 0) + (-2 + 0 + 3)*(-5*d**3 + 3*d**3 + 0*d**3) - 31307 + 255*d**3 + 31307.\nAnswer: 250*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -178, -1952, -6718, -15958, -31154, -53788, -85342, -127298?\nAnswer: -181138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 30?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 3*w - 16. What is g(0)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0936 and 0.059?\nAnswer: -0.0055224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.4, 160 in decreasing order.\nAnswer: 160, 0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -29042 and 5.\nAnswer: -29037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (64\/560)\/(-2*1\/5)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 8, -4, 2, -10, -3, 6 in increasing order.\nAnswer: -10, -7, -4, -3, 2, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 - 954*n**2 + 71883*n + 637656.\nAnswer: 3*(n - 163)**2*(n + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -140, -276, -390, -470, -504, -480, -386?\n\"Answer: 2*n**3 - n**2 - 147*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 88335683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 10*q**3 - 11*q**2 + 26*q. Let f(h) be the first derivative of -h**4\/2 + 2*h**3\/3 - 5*h**2\/2 - 1. Give 11*f(v) + 2*k(v).\nAnswer: -2*v**3 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29 + 32*z**3 - 134*z - 30*z**3 - 143*z - 3*z**2 + 261*z to p*z**2 + s + d*z + h*z**3 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/sqrt(3) + 1 + 2 + -1 + sqrt(17).\nAnswer: 2 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/((-4)\/(-39)))\/((-71)\/284). Let r be (-3 - -33*1)*3. Let p = w + r. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25 - -213906063567.5.\nAnswer: 213906063542.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.702 - -1.735. Which is the nearest to 4? (a) -0.2 (b) 5 (c) r (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 21090.\nAnswer: 21090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244495796?\nAnswer: 2, 23, 2657563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 434773269 to the power of 1\/3, to the nearest integer?\nAnswer: 758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -84 divided by -21\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -n**8\/560 + n**7\/210 + n**6\/300 + 29*n**2. Factor b(l).\nAnswer: -l**3*(l - 2)*(3*l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 463*f - 459*f = 4, 3*f + 17 = 5*y. Let k(b) = b**3 + 6*b**2 - 8*b - 10. Let x be k(-7). Put -8, y, x, 14 in decreasing order.\nAnswer: 14, y, x, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2144587 divided by -19.\nAnswer: -112873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b3 - 222?\nAnswer: -12b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4138097mg in kilograms?\nAnswer: 0.0000004138097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12211132130 (base 4) to base 7.\nAnswer: -20450063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = z - 4. Let b(i) = i - 4. Let d be b(z). Suppose d*g - 2*q = -4*g - 12, -4*g - 5*q + 16 = 0. Is -1 equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(130) - sqrt(130)*4 - sqrt(130))\/sqrt(10).\nAnswer: 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 108.59 + 1.41. Let k = o - 109.3. What is the nearest to k in 2\/7, 1\/4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 divided by -499.\nAnswer: -77\/499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1597, 3269, 5399, 8215, 11945, 16817, 23059?\nAnswer: 30899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 127. Let b = 123 - o. Let f = 3 + -2.8. What is the third smallest value in f, -3\/2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**2 - 3*z + z**2 - z - 13*z.\nAnswer: 4*z**2 - 17*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1642 + -1669 - (8 + 0)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 4*c - 5*c)*((-7 + 4 + 1)*(2 - 1 - 2) - 3 - 3 + 4 + 6 + 0 + 1).\nAnswer: -28*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -1. Let u(x) = 2*x + 3*x**2 - 2*x**z - 1 + x**2. Is u(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 45*z + 13. Let f be b(-45). Let j be 4 + 3 + (-16)\/4 + 24. Solve -m - 1 = 2*x - f, m = -5*x + j for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -2*q**7\/105 - q**6\/5 - 8*q**5\/15 + q**4 + 6*q**3 - 2334*q**2. Factor x(s).\nAnswer: -4*(s - 1)*(s + 1)*(s + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12038?\nAnswer: 2, 13, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 10 = 0, a + 18 = -4*m - m. Let i be 17*(-3)\/(-12) + 1\/m. Solve 2*g - 9 = i*g + t, t - 5 = 5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from zzzzwzwzwzwwz?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -414659 and -60.4.\nAnswer: -414719.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and 5484.\nAnswer: 5483.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w. Let z(p) = 23*p - 61*p + 16*p - 2677*p**2 + 22*p. Determine z(h(f)).\nAnswer: -2677*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 34 = 2*r, 0 = -4*r + 4*t + 557 - 513 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1923, -2, -46, -4 in increasing order.\nAnswer: -46, -4, -2, 5, 1923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-36) - 1952\/(-36). Let a = 90 - g. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s**3 + 2*s**2 + s. Let l be b(-1). Suppose l*t = 10 + 5. Suppose -t*v = v - 20. Solve -2*o - 12 = 4*g, 19 - v = -2*g - 5*o for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -44b?\nAnswer: -44b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 - 2*v + 4. Suppose -5*k + 29 + 46 = 0. Suppose k*u + 45 = -0*u. Calculate g(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/88)\/((-1701)\/(-2106)) + 34\/(-187)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 3*h**2 + 5*h - 15. Let m be x(3). Solve -3*y - 14 + 2 = m for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 10*u**2 + 22*u + 11. Calculate the remainder when 16 is divided by k(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00108336722 rounded to five decimal places?\nAnswer: -0.00108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/15*0*1. Suppose y + 3*g - 6*g = 17, u = -3*y - 4*g + 12. What is the remainder when 31 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.14 + -0.64. Let z = i + 0.3. Sort z, 0.5, 5\/3.\nAnswer: z, 0.5, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppuuuhaaaophbhaapoph. What is prob of picking 2 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/4 of a century?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(2\/7)*b)*b)\/b*b*b**(2\/7)*(b*b**(-6\/7))\/(b\/(b*((b*b**0)\/b)\/b*b)))\/((b\/(b\/b**(-4))*b)**37)**(2\/15) assuming b is positive.\nAnswer: b**(558\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 147\/143 - 11\/13. What is the closest to 1 in -3\/4, o, -0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1\/4, -30, -4, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 544 + -407. Which is smaller: 130 or k?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -40a7 + 4?\nAnswer: -40a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -354, -2660, -8918, -21102, -41186, -71144?\n\"Answer: -329*w**3 - 2*w**2 + 3*w - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*q + 11, -14 - 3 = -4*q - h. Solve -3*b - q*i + 32 = 0, -b - 6*i = -i - 29 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-9))\/(4\/360*2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - w - 241, -2*o = 2*w - 137 - 21. Suppose 8*f = 4*f - o. Let g = f + 40. Is 9 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110322 is divided by 2464.\nAnswer: 1906","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1\/((b*((b\/(b*b**1*b))\/b)\/b*b)\/b*b))\/(b**4*b)**(-9\/4) assuming b is positive.\nAnswer: b**(57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3*((sqrt(1700) - -2*sqrt(1700)) + sqrt(1700)) - (-5 + (1*sqrt(1700))**2) - 5*(1*(sqrt(1700) + 1)**2 + sqrt(1700) + sqrt(1700))).\nAnswer: -10195 - 320*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x**2. Let o(q) = 364532*q. Calculate i(o(r)).\nAnswer: -664417895120*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 3\/16*x**4 + 0*x**2 + 0*x**3 - 2 + 0*x**5 + 0*x - 1\/8*x**6. Factor s(q).\nAnswer: -3*q**3*(q - 1)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2932998511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 34264 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62 + -134. Let n = -41 - o. Is n a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 4*l = -20, -7*l + 12 = -10*l - l for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/44*(-4)\/6. Let a = 184 + -918\/5. Which is bigger: a or p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 101100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/13090 and 161\/65406.\nAnswer: 38916570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4833 - 34.9733. Let u = 36 + p. What is u rounded to 1 dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30816 is divided by 498.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -1827*n + 14608. Determine a(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*s - 140*s + 15 = -3*z, 0 = 3*z + 4*s + 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (5 + (sqrt(88)\/(-4*sqrt(11)*-1) - (-1 + (-2 + sqrt(2))*-6*-3)))**2.\nAnswer: -1470*sqrt(2) + 4761\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14401198*h**3 - 2*h**2 + 2*h - 82749443?\nAnswer: -86407188*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 3*c**2 + 2*c + 1. Let o be h(2). Let n(d) = 3 - 4 + d + 37*d**3 + 5*d - d**2 - 4*d. Is n(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 36*d + 48. Calculate the smallest common multiple of w(-36) and 24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*s = -60*s + 4. Suppose y = 0, y - 20 + 8 = -2*p. Solve -s*l + 7 = z, -3*z + 3*l + p = z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337 a factor of 291168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*a - 108 = 0. Solve -5*r + r = a for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-1 - (0 - 0)). Let h = 6 - c. Calculate the remainder when ((-1)\/3)\/((-3)\/189) is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 4*v + 39. Let l be k(9). Let u = 10 - 5. Let r(m) = -7*m**2 + 6*m - 7. Let g(n) = -6*n**2 + 5*n - 6. Give l*g(d) + u*r(d).\nAnswer: d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -220607 divided by -5?\nAnswer: 220607\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(720))**2 - sqrt(5) - sqrt(80)*4.\nAnswer: -17*sqrt(5) + 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 7*s - 2. Let w be r(5). Is (w + -16)\/(1 + -2) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9 + -13 + (-62)\/(-15))*-6*-5. Solve -5*m - r*v + 22 = 0, -124 = 3*m + 2*v - 136 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5538296 by -164.\nAnswer: -1384574\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*r + 28*r = 50*r + 432 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 10878350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/(-40) + (-243)\/(-28) and 157\/30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-36)\/(-24))\/((-6)\/(-788)). Suppose -11*z + 892 = -t. What is the remainder when z is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1743 and 3.\nAnswer: 1743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111011202 + -11?\nAnswer: -111011220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*t - t. List the prime factors of 2\/t*3 - -8.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*a**3 + 4*a**2 - 10*a**3 - 3*a**2)*(-a + 4*a - 2*a)*(-3*a + 0*a - 3*a).\nAnswer: -42*a**5 - 6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45 - 1110. Let u be 28\/(-210) - 52\/b. Which is greater: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 4)\/(8\/508). Suppose 5*a - 6*a + w = 0. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -16. Sort -0.3, 5, v.\nAnswer: v, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 301 (base 4) to base 15.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4158 is divided by 637?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 383, 374, 383, 410, 455?\nAnswer: 518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 243 in descending order.\nAnswer: 243, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 5*f + 112. Let k = f - -4. What is the highest common factor of k and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x + 151. Suppose 0 = s - 5*s - 8, -s - 2 = -f. Let u be a(f). Let d = u - -108. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 23.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 5*q + 8*q - 4 = 0, 0 = 5*d - 2*q - 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/11, 4, 1, 14, -0.09?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142170?\nAnswer: 2, 3, 5, 7, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o - 37 = 27. Solve -o*t = -2*t + 2*x + 2, 2*t - 3*x + 22 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m - 38 + 108 - 70.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(2*-4)*36. Let b = 27 + y. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 0)*(-3 + 1 - 1)*(-15*s**3 + 23*s**3 - 19*s**3).\nAnswer: 99*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17\/7 - -18\/7. Suppose 0 = 6*b - 3*b + 6. Put -2\/9, b, l in ascending order.\nAnswer: b, -2\/9, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 10:42 PM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27645 divided by -19.\nAnswer: -1455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*k**2 - 25*k**3 - 15*k**2 + (2*k**2 + 4*k - 4*k)*(5 - 2*k - 5) in the form p*k + d*k**3 + w + l*k**2 and give d.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -641000 rounded to the nearest 10000?\nAnswer: -640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -49*r**5\/4 + 157*r**4\/6 - r**2 - 110. What is the second derivative of z(a) wrt a?\nAnswer: -1470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 <= 7115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a. Let z(y) = -142*y - 2. Give z(i(s)).\nAnswer: 142*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -21000 (base 9) to base 16\nAnswer: -361b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/4 - 22\/(-8). Suppose h*m - 5*n = 104 + 165, 10 = 2*n. Suppose q + 381 = 5*u, -5*q + m = 4*u - 230. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 < 75\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2320?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3364 (base 7) to base 16\nAnswer: -4c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -11*s**2 + 30 - 10*s**2 + 20*s**2. What is the remainder when 57 is divided by p(0)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 279973 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-1*(0 - 2)). Solve -3*p - 6 = 4*q - j*q, -3*p + 5*q - 6 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/(-5) - (222\/30 + -23).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -241 - -244. Solve -5*b + q = -n, -q - 3 = 2*b - 0*q for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 8*v**2 + 3*v + 6. Let k be 42\/4*(-40)\/(-70). Let o(f) = 2*f**3 - 15*f**2 + 6*f + 11. Calculate k*o(b) - 11*x(b).\nAnswer: b**3 - 2*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((500\/(-1200))\/(1 + (-539)\/574))\/(4\/6).\nAnswer: -41\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40*w**3 - 4*w**2 + 6*w - 3.\nAnswer: 240*w - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-461)\/(-9) - 2\/63*7. Let q be (-2 - 2)\/(-12)*x - 4. What is the highest common factor of 91 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j**2 + 284*j + 1198. Give v(75).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 4*i + 111 - 79, 4*k + 31 = -3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-36)\/(12\/4)*-20. Suppose 0 = -246*k + b*k + 330. Is k at least 55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 - -47 - (10 - -2) - 17?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 2:40 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - c = -i - 1 - 7, 8*c - 62 = -6*i + 12*c for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21\/6*(-48)\/(-84). Solve -1 = -i - 4*u + 6, 2*i - g*u = -6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 1. Let y be (13\/(-15) + (-8)\/(-12))*5. Let c(h) = -h - 3. Let x(r) = y*c(r) - 3*n(r). Let a(q) = 3*q - 8. Give a(x(f)).\nAnswer: 3*f - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 4 = 41*h - 39*h, 4*h - 28 = 2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1686705*-0.5.\nAnswer: 0.08433525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -23463.6 - -1364941.5\nAnswer: 1341477.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 120 = 52*b - 316, -2*b - 5*m = 12. Solve -3*w + 2*r = -6, w + b*r = -1 - 11 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**3 - 2*m**2 - m. Suppose 0 = -9*u + 13*u + 4. Determine w(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -77*y**6\/120 - y**5\/12 - 11*y**3\/6 + 151*y**2. What is the third derivative of i(s) wrt s?\nAnswer: -462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21\/2? (a) 2 (b) -1\/7 (c) 3\/2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 981.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-1 + 7 + -2) - (-86 - (-68 - 6))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, l: 4, m: 2, e: 2}. Give prob of picking 1 g and 2 l.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66539?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 + -17. Let j(d) = d - 4. Let f be j(5). Let n be (12\/3)\/(16\/20). Solve n*l + o = -f for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 23 + 19. Let z(h) = -2*h**2 - 60*h**3 + 3*h - 44*h**3 + 103*h**3 + 1. What is z(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeeeee. Give prob of picking 3 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 2*o + h - 8, 5*h + 4 = 3*o. What is the remainder when 71 is divided by 1*-18*(-3 - o)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2365534*d**2 + 743039*d - 2 wrt d.\nAnswer: -4731068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2612727 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 290289970 to the nearest integer?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 13, 131715 in descending order.\nAnswer: 131715, 13, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -6)*1*-1. Suppose q*v = -5*c - 23, 7*v = 4*v + 4*c + 6. Calculate the remainder when 46 is divided by 99\/6 - (-1)\/v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -606 + 1029. Let r = 559 + b. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18117766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-21)*(-4)\/((-8)\/6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 7:29 AM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -10*-3*(-1)\/(-5). Suppose 0 = -0*f + 2*f - o. Suppose 38 = 4*u - f*k - 67, -4*k = 12. What is the greatest common divisor of u and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 353*v**2 - 24397?\nAnswer: 706*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.535*0.2.\nAnswer: -0.107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 0. Let d be -2 - (-12 - (-2 - n)). Let x(c) = c**3 - 9*c**2 + 8*c. Let m be x(d). Which is smaller: m or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 + m**2\/3 + 2*m\/3.\nAnswer: -m*(m - 1)*(3*m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 141294007219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 13247 divided by -13247\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -85 - -89. Solve 0 = 2*n - 3*k + 10, -7*k + 2*k = q*n + 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + k - k)*(-15 + 11 + 3)*(3 - 3 - 5*k).\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 81\/108*(-12)\/27*-3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 - (-1 + 0)*-1. Let i = -1 - -2. Let d be 8 - ((1 - i) + -2). Solve 4*u - 22 = 5*m + u, -c*u = -3*m - d for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1642, 1608, 1572, 1528, 1470?\n\"Answer: -k**3 + 5*k**2 - 42*k + 1680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 177 - 929. Suppose -5*o + o + r = 0. List the prime factors of o.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*g**3*i**3 + 5*g**3 - g*i**3 + 85*i**3 wrt g?\nAnswer: 6*g**2*i**3 + 15*g**2 - i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 898937288 to the power of 1\/2, to the nearest integer?\nAnswer: 29982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-661)\/(-3) - (-20)\/(-15). Let c = -110 + j. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*o = -0*o - 52, 2*i = -o + 13. Solve k + 3*k = i for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 0.1032\nAnswer: 0.1032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 5*v - 17. Determine o(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10.1 (b) -0.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -109? (a) 28 (b) 13 (c) 0.6 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dssgdgddsddddddddd. What is prob of sequence dds?\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -821*d - 97*d**3 + 821*d.\nAnswer: -97*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-125) - (-11298)\/(-94150)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*f + 10 = -27*f. Suppose -o - 615 = -6*o + f*w, -257 = -2*o + 3*w. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + n = -k - 1051, -3*k = 4*n + 772. Let s = -147 - k. Let r = 173 - s. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 17. Let p(v) = -v**3 - 7*v**2 - 14*v - 66. Let i be p(-6). Does 4 divide (-6)\/i + (-191)\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -8, -3, -15246, 2, 6, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 4311.\nAnswer: -4311.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 2:36 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * 232599.\nAnswer: -1395594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68 + -63. Calculate the smallest common multiple of 28 and u.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 1267*p - 1359*p + 5153, -3*l = 5*p - 283 for p.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 17*q**2 + 1462*q + 6864. Determine h(-81).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/6 or 58\/6027?\nAnswer: 58\/6027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = t + 4*p - p, -p + 7 = 3*t. Let u = t - 4. Let c = -3.7 + 5.7. Which is smaller: u or c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -118*u**5 + 7*u wrt u.\nAnswer: -2360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257473*w**2 - 862 + 862 + 7*w.\nAnswer: -257473*w**2 + 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 33 + 25*g**2 + g**2 - 37 + 7*g as a*g + l*g**2 + h and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 - -61. Suppose -3*r = -35 - a. Is 22 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 1822 + 260. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 5, -0.04, -0.1, 2 in descending order.\nAnswer: 5, 2, 0.3, -0.04, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -213407 - -491407. What is f rounded to the nearest ten thousand?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1230271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 52, 109, 188, 295, 436, 617, 844, 1123?\n\"Answer: a**3 + 5*a**2 + 35*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3210*i - 38*b = -3207*i - 222, -3*i - 12 = -0*i - b for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -16 (c) -1 (d) 0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1010193418 and 3796?\nAnswer: 1898","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 143 + -138. Solve -5*r - o*x - 15 = 0, 5*r = 5*x - 3*x + 20 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*i + 6014 = 59*i. Calculate the greatest common factor of 806 and i.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4309 is divided by 335.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.1584 - 81.1246. Round z to 0 decimal places.\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 352.91 rounded to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 5*k = 2, -k + 4 = k for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.075 minus -27893.7480839?\nAnswer: 27893.6730839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 11191959 divided by 3\nAnswer: 3730653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -106212 <= -105862?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2156*k**2 + 143*k**3 + 2156*k**2.\nAnswer: 143*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -4. Suppose 5*w = r + 18. Solve 2*k = w*k - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 509408 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**20\/j)\/(j*j\/(j\/((j\/(j\/(j\/(j\/j**15))*j*j))\/j))) assuming j is positive.\nAnswer: j**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -212885005 divided by -42577001?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 194091934759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + r + 13 = 0, z + 2*r = -3*z + 44 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 0, -5*t + 4 + 1 = 3*w. Suppose -t = -j + 1. Solve j*s - 6 = -0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.29431 to one decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 106008 and 10096.\nAnswer: 212016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -484726, -484744, -484762, -484780?\n\"Answer: -18*r - 484708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010012222 - 0?\nAnswer: -1010012222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10134.\nAnswer: 2, 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 307716?\nAnswer: -307715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -4*l**5 - 92*l**4 - 636*l**3 - 1396*l**2 - 1232*l - 384 = 0.\nAnswer: -12, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -148.27 - -149. What is g rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1105441 is divided by 6204.\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 0.00832 in descending order.\nAnswer: 3, 2, 0.00832","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -4*s - l, -27*s - 5*l = -58*s + 36*s + 10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 169707*c**2 - 480*c + 57.\nAnswer: 339414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of d**9\/504 + 3*d**5\/20 + 3*d**2. Find the third derivative of v(r) wrt r.\nAnswer: 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4100 + 18098. Let o = j - 9437. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210002 - -10?\nAnswer: -202222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 2:53 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9508*s + 9514*s - 189*s**2 + 183*s**2.\nAnswer: -6*s**2 + 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 11:47 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 17. Factor 96*h**3 + 25*h - z*h + 48*h**4 + 6 + 9*h**5 + 90*h**2 + 11*h + 12*h.\nAnswer: 3*(h + 1)**3*(h + 2)*(3*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of g**5\/10 + 11*g**4\/24 - 29*g**3\/6 - 5*g**2. Let y(l) = 11 - 2*l**2 + 4 - 5 - 4*l. Let c(a) = -6*i(a) - 17*y(a). Factor c(s).\nAnswer: -2*(s - 2)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/((-3)\/3 - 2). Let r = 1 - h. Sort r, 0.5, -5\/2.\nAnswer: -5\/2, 0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, d: 2, r: 4}. Give prob of picking 1 d and 1 r.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -8*h**2 - 3*h + 8. Give y(-4).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 107 + -106.839. Let r = -27.239 - l. Round r to the nearest integer.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1332078 + 2*z**2 - 1332078.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-5)\/120)\/(4 + 33\/(-8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -7*m**3 + 11*m**2 - 26*m + 9. Let t(k) = -3*k**3 + 6*k**2 - 12*k + 4. Let y(u) = 5*t(u) - 2*x(u). Let o be y(7). Sort -53, o, 0.4, 2.\nAnswer: -53, o, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8467310.7 and -1.738.\nAnswer: -8467312.438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, e: 1, s: 2, m: 6}. What is prob of picking 3 h?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 46? (a) 0.038 (b) -0.2 (c) -4 (d) 14.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 64 or -1539\/20?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*m + 6*m = 124*m + 102*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 510 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-8)*(-9)\/(135\/(-6)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + 3\/((-153)\/253))*(3 + -6).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*v**5 - 82*v**4\/3 - 19*v**3 - 2*v**2\/3 = 0. What is v?\nAnswer: -2, -1, -1\/27, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 446960 rounded to the nearest one thousand?\nAnswer: 447000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7296 and 41412.\nAnswer: 25178496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3*f + 8. Which is the nearest to -2? (a) -1\/2 (b) f (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*h - 153*h - 46*h = -909 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(2\/15)\/((-1)\/35). Let q = 2 + 2. Solve -5*h - q*d = d + 30, k = -3*h - 2*d for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**3 - 23*b**2 - 36*b - 229. What is z(-11)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/(sqrt(11) + -5*sqrt(176)).\nAnswer: -sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 13. Let c = r + -6. Suppose -2*m + 12 = 4*t, -4*t + 12 = -2*m - 0*t. Which is smaller: m or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + t - 19, -5*t + t = y + 12. Suppose -5*j - 4 = 3*p, p = -2*p - 4*j + 1. Let i = p + y. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -22*u - 159. Calculate j(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3*v + 53. Let u = v - -26. What is the common denominator of 168\/u*(-1)\/2 and 87\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 699\nAnswer: -5\/699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136945, -136943, -136941, -136939?\nAnswer: -136937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (4 - -3) - 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -127 - -122. Which is the third smallest value? (a) -1\/3 (b) 2 (c) j (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**2 - 46*l - 37. Let p be v(-22). Suppose -4 = 5*q + 1. Let z = p + q. Solve 5*r - 4 - z = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppuau. What is prob of sequence uu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 6*s. Let x = -4 - 0. Suppose 5*m = j - 7, 127*j - 131*j + 3*m = -11. Sort x, j, s.\nAnswer: x, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 108, 2 in decreasing order.\nAnswer: 108, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -447*r + 4775*r**3 - 2 - 729*r**4 - 4775*r**3 - 657*r**4 wrt r?\nAnswer: -16632*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one tenth of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11642*v**2 - 20073 wrt v.\nAnswer: 23284*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62698317 to the nearest integer?\nAnswer: 7918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 450 = q + 3*q. What is the remainder when 918 is divided by q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.964 - -0.036. Which is the second biggest value? (a) -1.2 (b) 2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85 and 455.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1795944 to the power of 1\/2, to the nearest integer?\nAnswer: 1340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 5*c**2 - 2*c + 5. What is u(3)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -5*z. Let x(s) = -s - 1. Let b(o) = l(o) - 4*x(o). Let r be b(2). Let g(a) = 16*a**3 - 4*a**2 + 4*a - 2. Is g(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11403 (base 7) in base 4?\nAnswer: 231333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 256 + -2?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49612 is divided by 143.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 7:48 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**2 + 11476 - 11476 + 20*q.\nAnswer: -4*q**2 + 20*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155563?\nAnswer: 73, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 648 and 198.\nAnswer: 7128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f**2 + f + 8. Let j be y(3). Let c = -23 + j. Suppose -10*k + c*k - 500 = 0. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*o - 16 = 0, -3*i + o = -1. Let p be 3 - (1 + (-3 - i)). Suppose 2*u - 2*h - 19 - 7 = 0, -3*h + 31 = p*u. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -258, 31, -2\/5, 0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -1160*d + 9517. Give l(8).\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of 0*c**2 + 20*c + 0 - 1\/21*c**4 + 2\/7*c**3. Determine j so that x(j) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10846034.\nAnswer: 2, 17, 319001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**3\/3 - 12*b**2 + 131*b\/3 - 32 = 0?\nAnswer: 1, 3, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 289 divide 2390537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (8 - 2 - 3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 27\/2 (b) -3\/13 (c) -0.07 (d) -4 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, i: 3}. What is prob of sequence iic?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -96*s + 84. Is 12 a factor of b(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4331 - 3251. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 + -36. Suppose -17*h + 110 = 8. Sort -5, h, t, 3.\nAnswer: -5, 3, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/5, -3525, -0.04, 2\/3, 9, -3, 0?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 - 2*v**2 + 3*v**2)*(506 + 2*v - 153 + 509).\nAnswer: 2*v**3 + 862*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**6)**43)**(-1\/13) assuming h is positive.\nAnswer: h**(215\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1*6\/(-18))\/((-2)\/6). Let m(d) = -10*d + 37. Let f(t) = -t. Let x(w) = n*m(w) - 4*f(w). What is the tens digit of x(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(26\/(-6)))\/(65\/(-195)). Which is greater: i or -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 450 a factor of 61556592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -2*j - l, 3*l + 15 = 2*j + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242*b**2 - 2 - 25*b**2 + 2.\nAnswer: 217*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1746 and 25414.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 10:29 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**3 - 9501*f**2 + 2533101*f + 2542605 = 0. What is f?\nAnswer: -1, 295, 2873","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -49\/12 (b) -0.3 (c) 56\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 7*x**4\/4 - 5*x**2\/2 + 6. What is the second derivative of u(k) wrt k?\nAnswer: 42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -536 = 3*v - 161. Let d = v + 379\/3. Solve d*m + 2\/3*m**2 - 2*m**3 + 0 = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14c (base 14) in base 5?\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 521777863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 48464748 to the nearest 10000.\nAnswer: 48460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 376.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13112, 26223, 39334?\nAnswer: 52445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 - 3*m + 2. Let y be h(2). Let v = -78 + 90. Solve v = y*b - b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15.389 + 0.289. Let y = -399 - -384. Let n = y - p. Which is the nearest to n? (a) 1\/4 (b) 0.1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64)\/140*50\/(-40).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -38, -40, -44, -50, -58, -68?\n\"Answer: -j**2 + j - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, t: 4, s: 2}. What is prob of sequence ht?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 4*o - 1. Let u be m(-4). Let s = 7 - u. Calculate the greatest common factor of s and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 6*a**2 + 5*a + 1. Let d(s) = 196 - 190 + 2*s + 3*s**2 - 6. Determine 5*d(g) - 2*n(g).\nAnswer: 3*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 276, 116 in decreasing order.\nAnswer: 276, 116, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 26769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 165297687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 - 108 = 38*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 5*n**2 - 41 + 6 + 20.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1820005 and 110935?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.337 - -1.433. Let r = -5 - -6.6. Let z = r - g. What is z rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(110) + (sqrt(110) + (sqrt(110) - (sqrt(110) + sqrt(110)*4)))*2)\/(-5*sqrt(490)))*-2.\nAnswer: -2*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 16*u + 6. Let d(m) = -m**2 + 2*m + 1. Let j(i) = 5*i**2 + 2*i - 12. Let g(t) = 6*d(t) + j(t). Let x(z) = 4*f(z) + 5*g(z). Give x(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -3*s - 2*m - 2*m, 0 = 4*s + 2*m - 30. Suppose 3*w - 96 = -u, -4*w + 4*u + s = -139. List the prime factors of w.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/(-55))\/((-396)\/(-726))\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j + j - 2*j + (3 - 1 - 4)*(-4*j + 2*j + j) + 2*j - j + j - 1 + 1 + 2*j)*(0 + 2 + 0)*(-12309 + 0*j + 12350 - 5*j) to t*j + w*j**2 + p and give t.\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6013931723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(1*2*(-2)\/12). Sort -1, -5, u in decreasing order.\nAnswer: -1, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6\/7, -2, 5, -4, 1023, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 21*w**5 + 3*w**2\/2 + 15*w - 194. What is the second derivative of s(r) wrt r?\nAnswer: 1260*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 18. Suppose 5*a = a - 4*q - d, 2*a - 5*q - 26 = 0. Let p(c) = -3 - a*c - 2 + 5. Let z(g) = g. Calculate p(z(t)).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.03, 0.7, -1, -319, 1\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a year?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2\/47, -620785 in descending order.\nAnswer: -2\/47, -5, -620785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1858, 1823, 1788, 1753, 1718, 1683?\n\"Answer: -35*b + 1893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 856\/10 + 10\/25 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 12:19 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -27. Suppose 3 = w - 1. Solve 0 = -r - w*r + g for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x**3 + 6*x - 3. Let a = 27 + -27. Let o be (-1 - a)\/((-3)\/33). Let i(p) = -p**3 + 2*p - 1. Calculate o*i(k) - 4*u(k).\nAnswer: k**3 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cycbyybcbcyyya. What is prob of sequence ac?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 200?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6809 - -6812. Let r = 6 + -6. Factor r + 3\/8*w**4 + 3\/8*w**z - 3\/4*w**2 + 0*w.\nAnswer: 3*w**2*(w - 1)*(w + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**4 - 12*z**3 - 17*z**2 + 3*z. Let o(n) = -n**4 - n**3 - n. Let f(a) = 3*o(a) + t(a). Find the third derivative of f(j) wrt j.\nAnswer: -24*j - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two fifths of a milligram in micrograms?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -143*q**2 - 894*q - 1070704 with respect to q.\nAnswer: -286*q - 894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2048034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4112.\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of 0*k + 0*k**3 + 0 - 7*k**2 + 1\/4*k**4. Let m(f) = f**2. Determine m(i(j)).\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -296, -2270, -7590, -17930, -34964?\nAnswer: -60366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 4:02 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 0.32, -227\/26 in decreasing order.\nAnswer: 11, 0.32, -227\/26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15727748 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 339, 1333, 2973, 5259, 8191?\n\"Answer: 323*y**2 + 25*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 20*o - 19. Let j be r(-19). Let m be ((-6)\/(-4))\/((-9)\/(-12)). Solve -m*b + 0*b + 2 = j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1944, 1941, 1928, 1899, 1848, 1769, 1656, 1503?\nAnswer: 1304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*((-2)\/(-3) - 2). Let v(h) = 3*h. Let l be v(7). Suppose 2*f = -m*p - 6, p = 4*f - 2*p - l. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 609685328 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -55, 5, 57 in descending order.\nAnswer: 57, 10, 5, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 8:58 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*l + 15. Let c(i) = -3*i**2 - l*i**2 + 2*i**2 - 2*i**2. Let n(g) = -2*g. Determine n(c(r)).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**3 + 175*a**2 - 24*a + 50. List the prime factors of p(-87).\nAnswer: 17, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000055 to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2317 is divided by 101?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 96355\/3 or 32118?\nAnswer: 32118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0626 + 0.099. Let k = -0.3656 - l. Let b = 2.092 + k. Round b to one dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 337884212*g**2 - 103708562*g wrt g.\nAnswer: 675768424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5a (base 14) to base 5\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of j**5\/30 + j**2. Let l(m) be the second derivative of 11*m**3\/6 - 515*m. Calculate l(d(z)).\nAnswer: 22*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -144*c*w**3*x - c*w**2 - 2*c*w*x + w**2*x + 13*w**2 wrt w?\nAnswer: -864*c*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bv when two letters picked without replacement from bvlktbvpk.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 m when two letters picked without replacement from {w: 1, z: 2, h: 6, t: 2, m: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3874846601?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*s = 8, -3*x + 6*x - 5*s - 20 = 0. Suppose x = -5*m + 13 + 7, -14 = n - 5*m. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -42892000 to the nearest 1000000.\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*d + 7*d + 15*d + (3*d - 4*d + 0*d)*(0 - 2 + 5) to h + j*d and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/1298 and -9\/2976196.\nAnswer: 32738156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -247332100 and -3?\nAnswer: 741996300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/3405 and 33\/40.\nAnswer: 27240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-38)\/(-20) + 4\/(-10). Let g = -3024 - -3023. Which is the closest to g? (a) n (b) 0.1 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -223480 and -223481 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (b + 3*b - 2*b)*(12*b - 3*b + 6*b)*(-1 - 5 + 1) as m*b + x + f*b**2 and give f.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -271 + 311. Let i = 151 + f. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3706583269?\nAnswer: 3706583269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3*n)*(n**4 - 5*n**4 + 3*n**4 + (0*n - 3*n + 4*n)*(-2 - 2*n**3 + 2) + 2*n**4 + n**4 - 5*n**4 + 0 + 0 - 2*n**4 - 4*n**4 + 3*n**3 - 3*n**3).\nAnswer: -33*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.6 or 374084?\nAnswer: 374084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -518, -0.4, -4\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 779 + 37 + 753 - 2*d + 545.\nAnswer: -2*d + 2114","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - t - 10 = 0, 6*t - 6 = -j + 7*t. Let n(d) = 152*d + 6. Let z be n(1). Suppose 2*c + 3*c = j*y + 381, 2*c = -4*y + z. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 5*u**2 - u - 1. Let i be m(-5). Suppose i*s = 4*k - 8 - 40, 54 = 5*k - 3*s. Calculate the remainder when k is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 4 = 3*c, 1149646 = 2*r - 5*c + 1149632 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2454510\/7 - 352652. Let t = o - -2011. Calculate the common denominator of t and 13\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 12:28 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1586 + 0.1316827701\nAnswer: -1585.8683172299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2161*d + 101610. Determine u(-47).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millennium in years?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 124*t + 97*t + 4*t**2 - 224*t - 3 + 2*t**2 - 4*t**2. Let d(q) be the first derivative of 5*q**3\/3 - 7*q**2\/2 - 7*q - 1. Determine -6*d(v) + 14*w(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**5 + 1905*s**4 - 58725*s**3 + 506595*s**2 - 1137192*s + 687420 = 0?\nAnswer: 1, 2, 10, 19, 603","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 36357 (b) -10 (c) 4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13695*q**2 + 0*q**3 - 3*q**3 - 4569*q**2 - 4558*q**2 - 4568*q**2.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**3 + 247*q**2 + 32490*q = 0.\nAnswer: -95, 0, 342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -6 - d**2 - 3*d + 1 + 1 - d**3. Let p be l(-3). What is the greatest common factor of 69 and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*w - 6 = -3*q, 4*w - 16 = -q. Suppose 5*k = -2 - 3. What is the closest to -1 in w, 0, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1704 - 1524. What is the greatest common factor of 972 and q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 644 is divided by 87?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/(-24)*63\/(1 - 0). Let m be (-7)\/n - (-2 - (-34)\/15). Let t = 0.04 - 0.44. Put -0.8, m, t in increasing order.\nAnswer: -0.8, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7b64 - 415?\nAnswer: 774b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 3*a - 66, 3*x = -2*x - 3*a - 84. Let j be x\/(-2)*-4*28\/(-8). Calculate the greatest common factor of 63 and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of i**4*m**2 + 50*i**2*m + 425*m**2 wrt i?\nAnswer: 4*i**3*m**2 + 100*i*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-20370)\/(-4365) - (-341)\/(-75)\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 - 15*z - 9. Suppose -2*i - 16 = -32. Determine q(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2815 or 70357\/25?\nAnswer: 2815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -11*t**3 - 4*t**2 + 4*t - 4. Let b(q) = 35*q**2 - 70*q**3 + 43*q - 55 - 90*q**2 - 84*q**3 + 12*q. What is -4*b(i) + 55*m(i)?\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of b**3\/3 + 5*b**2 + 4*b. Let v be j(-7). Which is bigger: v or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 45, 146, 307, 522, 785, 1090, 1431?\n\"Answer: -x**3 + 36*x**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(8\/5)*2. Let z(h) be the third derivative of h**4\/8 + h**3 - h**2. What is z(p)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3401325258.\nAnswer: 2, 3, 8161, 69463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5965, 11927, 17889, 23851, 29813, 35775?\n\"Answer: 5962*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -8793*k**2 - 12175*k - 10. Let f(n) = 8767*n**2 + 12175*n + 11. Let q(i) = -10*f(i) - 11*y(i). What is the second derivative of q(c) wrt c?\nAnswer: 18106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3146 is divided by 3046?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -961 (b) 0.2 (c) 0 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50.4 - 185.7. Let p = -98 - o. Let x = p - 37.29999653. Round x to 7 decimal places.\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2075739 divided by -16091?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5129.\nAnswer: 23, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**2 - 3721 + 1265 + 1257 + 1213 + 57*p as a + v*p + u*p**2 and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1395\/(-372)*(-296)\/6. Is 185 <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 125253303, 125253301, 125253299, 125253297, 125253295?\nAnswer: 125253293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 8, n: 5, p: 3, i: 2, k: 2}. What is prob of picking 1 p and 2 b?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 21*y - 108. Calculate j(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -134 - -188. Suppose 3*b - h = -3*n, n + 0*n = -4*b + 30. Solve 0*o + 2*o - n = -4*y, -4*o - 3*y + 3 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-4) - 8\/(-32). Suppose p - 8 = -2*f, v*f - 3*p = -f - 3. Suppose -12 = -4*z + 2*n, -2*n = -f*z - 2*z + 16. Let d(i) = -i + 3. What is d(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - 1.1. Let j = -24.9 - -25. What is the closest to -0.1 in s, j, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 16 + 2 + -11 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 + 34. Suppose 5*x = 5*a - 265, -5*a + s*x + 148 + 121 = 0. Calculate the remainder when a is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, z: 1, e: 5, i: 2, o: 1}. Give prob of sequence zk.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11231543 (base 8) to base 5.\nAnswer: -1111003422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnznnnnnnbzzz. What is prob of sequence bnn?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**2 - 7*r + 9. Let p(f) = -3*f**2 - 7*f + 10. Let z(y) = 4*g(y) - 3*p(y). Suppose -14 = -2*v + 4. Suppose v = 4*d - 15. Calculate z(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19949263.2979656 + 19949271. Let g = -8.70203439 + n. Let v = -1 - g. What is v rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/21*312\/(-416)*72\/(-540)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12454541?\nAnswer: 11, 499, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 157829, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-10)\/(-42) + 24\/(-84)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of 0*s**6 + 0*s**4 + 0*s + 0*s**7 + 0*s**3 + 1\/20*s**5 + 0 + 1\/168*s**8 + 11*s**2. What is the third derivative of o(c) wrt c?\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -15*p**2 + 3 - 17*p**2 - 4*p - 11*p**2 + 42*p**2 - 1. Determine f(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4.5658 or -535?\nAnswer: -535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cxxxxxccxcxccc. Give prob of picking 3 x.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9194 + 9192. Put -0.104, -4\/5, 1, p, -0.4 in increasing order.\nAnswer: p, -4\/5, -0.4, -0.104, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/14916 and -62\/3?\nAnswer: 14916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**3 - i**2 - 3*i + 2. Suppose 3 + 2 = -5*u - 5*n, 3*n - 11 = 4*u. What is the remainder when ((-22)\/u)\/(5\/10) is divided by w(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 2*s**2 - 2*s + 3. Let v be b(-3). Let d(k) = -2*k + 3*k + v*k - 2*k. Calculate the least common multiple of 1 and d(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(7\/2)\/(x**(-5)\/x*x))\/((x**(-2)*x)\/x*x)**(-1\/11) assuming x is positive.\nAnswer: x**(185\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -133, 3, 44, -4, -5.\nAnswer: -133, -5, -4, -1, 3, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + (18 - 11) + 19 - 48.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2948 - -4.7052. Sort 3\/8, 3, 0.6, p, -2.\nAnswer: -2, 3\/8, 0.6, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 929*r + 7*u - 17 = 1861*r - 927*r, -3*u + 2 = -2*r - 4 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*((-6394)\/(-4) - 0). Let j be 6*f\/4*-6. Let w = -773 - j. Round w to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2937, -5890, -8887, -11952, -15109?\n\"Answer: -4*h**3 + 2*h**2 - 2931*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 207 and 1179.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 3*h + h**4)*(1 - 2*h - 1) - h**4 - h**5 + h**4 - 4*h**5 + 2*h**5 + 3*h**5 - 2*h**2 + 2*h**2 - 5*h**5 - 11*h**2 + 11*h**2 - 3*h**5.\nAnswer: -10*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 94 and -130.8112.\nAnswer: -36.8112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m - 2*m - 2*m + 3 + m. Let s(u) = -u**2 - 5*u + 4. Let i be s(-6). Let y(t) = 1. Let f(r) = i*d(r) + 5*y(r). What is the derivative of f(v) wrt v?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11046929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 96 + 37. What is the highest common factor of 19 and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*g - 164. Suppose -g*z + 4 = -30*z. Suppose -2*h - h - 2*k = -11, 4*k = 4*h - 8. Which is smaller: z or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17530 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 267611, 535253, 802895, 1070537, 1338179?\nAnswer: 1605821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**2\/21 + 15080*z\/7 = 0. Calculate z.\nAnswer: -22620, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 7*q + 6. Suppose -5*v + 133 - 158 = 0. Give l(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1175654.655 seconds in weeks?\nAnswer: 1.9438734375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**8*t)\/t*t)**(-3)*(t*t\/t**14)\/t*t\/(t*t\/t**23))**(-1\/35) assuming t is positive.\nAnswer: t**(18\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23*l - 5*l**2 + l**2 + 66169 - 65776 wrt l.\nAnswer: -8*l - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -14, 0.3, -1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g - 2. Let l(x) = -1. Give 3*l(h) - 2*n(h).\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w**2 - w**2 - 5*w**2 + (w - 4*w + w + (w - 2*w + 0*w)*(2 - 5 + 1) + 0*w + 0*w - w)*(-3 - 3*w + 3).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*r**3 - 15*r**3 - 18*r**2 + 18*r**2.\nAnswer: 100*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.34 + 6.4. What is the second biggest value in 0.2, 0.1, k, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 387053211 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -25, -3, 39, 107, 207, 345, 527?\nAnswer: 759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - q - 1. Let x(c) = 23*c**2 - 2*c - 6. Give -4*k(s) + x(s).\nAnswer: 19*s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -71, -1308, -4683, -11264, -22119, -38316, -60923?\n\"Answer: -178*p**3 - p**2 + 12*p + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/17 < -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 399, 416, 433, 450, 467, 484?\n\"Answer: 17*h + 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11 (b) 1651 (c) 0.1 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -25, -3, 26, 5\/3 in descending order.\nAnswer: 26, 5\/3, 1, -2, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -20, 272 + 975 = -4*d - 5*q. Let p = d - -234. Is -82 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 4. Suppose -5*c + 16 = -x*c. Calculate the remainder when c is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1418482 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 0*g = -2*g - 868, 5*u = -2*g + 852. Suppose -2*p + 6*p = -u. Let x = 228 + p. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10 + (-4 - -2) - (0 + 4). Determine c, given that -1\/5*c**j + 0*c**2 - 1\/5*c**5 + 0 + 0*c + 0*c**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (0 + -6 + 12)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3958101 and 126?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g - 5. Let m be y(-5). Suppose o = -o + m. Let t(p) = -p**3 + 4*p**2 + 7*p - 6. What is the units digit of t(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u + 48. Let n be f(18). Calculate the least common multiple of 27\/2 - (3\/n + 1) and 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 2*t = -5*i + 4*i - 2, 2*i + 12 = 25*t - 21*t for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 9*p + 19. Calculate the smallest common multiple of f(8) and 12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.28861 - -10.28861. Let k = -0.2 - -0.2. Which is the third smallest value? (a) 0.1 (b) o (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -7*m + 2*m. Suppose 2*v - 23 = -5*i, 2*i + v + v = 8. Solve -4*b = i*w - 2*b - 5, 0 = -m*w + 3*b - 18 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**3*v**3*w - 3*l**3*v**2*w - 3*l**3 - 137*l*v**3*w - w wrt v?\nAnswer: -6*l**3*w - 822*l*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.877 + 12.877. Which is the fifth smallest value? (a) -0.1 (b) x (c) 4\/7 (d) -1 (e) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 33*m - 31*m - 9721, 2*m = 6. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u. Let k(j) = j**3 + 5*j**2 + 3*j - 4. Let n = 1 + -5. Let c be k(n). Suppose -2 = -c*p - p. Calculate f(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -3. Suppose 0 = 2*m + 3*v + p, -m + 5 + 7 = -2*v. Solve -15 = r - m*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/7 (b) 1\/3 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -4*y**3 + 0 + 11 + 3*y**3 - 2*y + 3*y**2 - 8. Let m = -1 - -3. Give t(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-9))\/((-1)\/(-9)) + 5. Suppose -27 = -5*z + o, 0*z - a*o = -z + 9. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*a + 1940004 = 0, 4*t - a = 5*t + 1939998. What is t rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -214 - -213.8. Let k be (4\/3)\/(8\/(-12)). What is the smallest value in s, -3\/5, k, -0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 10 = 4. Suppose 20 = -2*m + c*q, 4*q - 11 - 18 = 3*m. Let b = m + 16. Solve b*p = 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 76*x**2 - 55*x - 109. Let b(j) = 38*j**2 - 30*j - 47. Determine -7*b(z) + 3*q(z).\nAnswer: -38*z**2 + 45*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - 9. Let k = a + -11. Suppose u = 6*m - 2*m - 998, -5*u - k*m = 4944. Round u to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3426366 + -64?\nAnswer: -3426463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 6*a**2 - 8*a - 6. Let c be l(-7). Let h be (4 + 0\/(-1))*c. Let 2*y**3 - 4*y**4 + 3*y**2 + 2*y**h - 2*y - y**4 = 0. Calculate y.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -p - 8. Let a = 6 + p. Suppose a*d - 24 - 50 = 0. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 2*g - 120 - 309 - 189 - 131 + 46.\nAnswer: 2*g - 698","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.13? (a) 5 (b) -0.09 (c) -1\/2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/16 or 77784?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 3*j - 5. Let g(r) be the first derivative of r**3 + 4*r**2 - 16*r - 13. Let c(z) = 4*g(z) - 11*v(z). Is c(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 891 and 213180?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 612\/(-81) - 140\/(-252). Let s(t) = 2*t**3 - 10*t**2 - 2*t - 13. Let n(h) = -3*h**3 + 19*h**2 + 5*h + 25. Let x(c) = -3*n(c) - 5*s(c). Give x(w).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4767366 is divided by 1589109.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j + 20. Let f be b(18). List the prime factors of (-285)\/f*(-8)\/12.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 490.39 (c) 1\/77\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5059, -5062, -5073, -5092?\nAnswer: -5119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/4886 and -31\/146.\nAnswer: 356678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 10) in base 3?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92576972 to the nearest integer?\nAnswer: 9622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32478 - 32479. Put h, -0.3, -4, 0.2, 13 in descending order.\nAnswer: 13, 0.2, -0.3, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -337*m = -368*m + 496. Let 1\/7*r**4 - 2*r**3 + 33\/7*r**2 + 64\/7 + m*r = 0. Calculate r.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -5, -54 in increasing order.\nAnswer: -54, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 74*l - 2. Let o be k(1). Calculate the highest common factor of 48 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(800))\/(6*(sqrt(10) + sqrt(30)\/sqrt(3))) + (0 + sqrt(80) - (sqrt(80) + 0 - sqrt(80)))*-5)**2.\nAnswer: 2205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 5*o**2 - 2*o + 3. Let m be y(-4). Which is the second biggest value? (a) 0.2 (b) m (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (y + 2*y - 2*y + (1 + y - 1)*(-1 - 1 + 4) + 2 - 2 - y)*(-8*y - 13*y + 3*y) in the form q + a*y + u*y**2 and give u.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1151523 is divided by 785.\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 + 1. Suppose -2 = -3*c + 2*g - 11, -g = -3*c - 6. Let h be w(c). Suppose s + 12 = -h*s. Are s and -4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1244 - -1249. Which is the second smallest value? (a) 0.2 (b) -2 (c) h (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.11 - 0.89. Let m = u + 3.0000111. What is m rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5\/((-27)\/(-18)*(-4)\/(-114)).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*9\/(-408))\/(36\/(-48))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 1\/12*y**4 + 0 - 109*y + 5\/6*y**3 + 2*y**2. Calculate s(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 564406 is divided by 80624?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 66.3 + -66.5. Sort 0, -0.5, 0.03, w in decreasing order.\nAnswer: 0.03, 0, w, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 4*i - 24, 84*i = 89*i - 11*s - 31 - 47 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*4\/14*(-7)\/14.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9 - -2)*(0 + -1). Let t = k - -13. What is the first derivative of -5*y**2 - 1 - 4*y**2 + 5*y**t wrt y?\nAnswer: -8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 6*w**2 + 7*w + 5. Let b(v) = -v**3 + 10*v**2 - 8*v - 2. Let m be b(9). Let l be t(m). Let c be 4\/((-4)\/16*4 - -2). Which is smaller: c or l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, n: 2, x: 4, s: 2, c: 2, k: 1}. What is prob of sequence scc?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (234*a**5 + 304*a**5 - 42*a**3 - 24*a + 40*a**3 - 604*a**5)*(0 + 1 - 2).\nAnswer: 66*a**5 + 2*a**3 + 24*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3211011 (base 4) to base 11.\nAnswer: -10019","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 51064 divided by -491\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -31, -57, -103, -175?\nAnswer: -279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2291235725.\nAnswer: 5, 91649429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 34*k**2 - k + 1122. Determine h(33).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 390*q**2 - 8782*q - 732. Calculate t(366).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 231213211 + -2?\nAnswer: 231213204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 3*h - 84. Suppose -4*u + 4*r = h - 0, -1 = -r. Which is the biggest value? (a) -11 (b) -3 (c) u (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55910000 rounded to the nearest one million?\nAnswer: -56000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, w: 2, o: 1, e: 6, h: 3}. Give prob of sequence wew.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/33 in -8, 1\/63, -5\/6, -0.3, 1?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-326)\/(-22) + (-2)\/(-11). Suppose b = 2*s + s. Suppose -s*q = -21 + 1. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*l = 48*l + 351. Calculate the smallest common multiple of 11 and l.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16404, -16388, -16372, -16356?\n\"Answer: 16*a - 16420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 14 = -2*z, 5 = -5*q - 533*z + 536*z. Solve q = 3*w - 4*w + 2*b, 0 = -5*w + 3*b + 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -68.33687527 to 0 dps.\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2\/5 + 1990629*m\/5 - 1990626\/5.\nAnswer: -3*(m - 663542)*(m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -8*g**2 + 455*g + 35. Determine y(56).\nAnswer: 427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.9, -14, -6, 4, 0.5?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(468) - 4*sqrt(468))*2 + sqrt(468)))**2 + 0 + sqrt(637) + -4 + -5.\nAnswer: 7*sqrt(13) + 292491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**4\/24 + 5*t**3\/6 + t**2. Let w = 19 + -9. Is f(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cii. Give prob of sequence ic.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/165 and -23\/632027?\nAnswer: 9480405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, k: 5, l: 4, n: 6}. Give prob of sequence knk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*v = -86, -4*z + 4*v = -z - 60. What is the least common multiple of 32 and z?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/1640?\nAnswer: 3\/1640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 915749 is divided by 40?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224 (base 5) to base 15.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w - 7371 = -36*w. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -40*t + 6068. What is the remainder when t is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 42493016*t - 86809485 with respect to t.\nAnswer: 42493016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 12*d + 19. Let j be u(18). Let i = 214 + j. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.908 or -3?\nAnswer: 0.908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 8:30 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 18, -9, -1, 416, 2 in descending order.\nAnswer: 416, 18, 3, 2, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12619\/240 - -263\/5. Let z(j) be the second derivative of -1\/24*j**3 - 2*j + 0 - a*j**4 + 0*j**2. Solve z(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**3 + 0 + 0 + (-1 + 0 + 0)*(q**3 + 2*q**3 - 2*q**3) - 13 - 7*q**3 + 13.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 677?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 35*v**3 - 1562*v**2 + 14719*v + 734. Let s(w) = -36*w**3 + 1561*w**2 - 14720*w - 732. Let q(r) = -6*s(r) - 5*t(r). Let q(k) = 0. Calculate k.\nAnswer: -2\/41, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -408+0.03707\nAnswer: -407.96293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 13 from -0.9984149928.\nAnswer: -13.9984149928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)*-2 - sqrt(76))*5 + sqrt(76) + sqrt(76))**2.\nAnswer: 12844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22399 is divided by 70.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 102323 (base 6) in base 8?\nAnswer: 20213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 105326799?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-40))\/(20\/250).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10150.\nAnswer: 2, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -72866 divided by 436?\nAnswer: -36433\/218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 5*k + k**2 - 2*k - 3*k - 2 + 3*k. Find the first derivative of x(z) wrt z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120533?\nAnswer: 7, 67, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0424 and -2.532?\nAnswer: 2.5744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85, 80, 75?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + -1. Let m be 405\/h + 1\/(-4). Suppose 4 = -2*u + m. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 476 + 2*n - 956 + 479 + 356*n**2.\nAnswer: 356*n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**3\/7 + 3344*s**2\/7 + 29970*s\/7 + 59868\/7 = 0?\nAnswer: -1663, -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**25*n)\/n*(n\/(n\/(n\/n**22*n)))\/n)\/(n\/((n\/(n*n**(-3\/16)*n))\/n)*n**(-2\/37)) assuming n is positive.\nAnswer: n**(735\/592)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 3*h + 2*j = -8, -4*j - 23 = -3*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 6. Let r(n) = -n**2 - 11*n - 5. Calculate the remainder when r(k) is divided by (8\/10)\/((-6)\/(-75)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 547*v - 1736 - 1618*v + 539*v + 532*v - 3332*v**2 wrt v.\nAnswer: -6664*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -647 - -976. Is w a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6052 is divided by 860.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -6*-5*(sqrt(17) + sqrt(153)\/sqrt(9)*3))**2.\nAnswer: 1200*sqrt(17) + 244825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3346739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 0 + b**3 + 1 - 2*b in the form t + m*b**3 + u*b + a*b**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.9 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a - 8 = -26 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 192 and 9?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -412584?\nAnswer: -1\/412584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, t: 5, v: 2}. Give prob of picking 1 h and 1 v.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r + 10. Calculate the least common multiple of 14 and x(10).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(-1)\/(-9)*-21. Let r be 15\/1 - (32 - 30). Suppose s - v = -k, -4*k + r = -s - k. Solve 0 = b + s for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94 divided by 3.\nAnswer: -94\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-45)\/(-6) - (-3)\/(-2). Let t be (9\/q)\/((-6)\/(-256)). Calculate the highest common divisor of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 - 2830*k**2 + 877816*k + 3556672.\nAnswer: 2*(k - 952)*(k - 467)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-2)\/g)**(-3\/10))**21*((g**16\/g)\/(g\/(g\/(g\/(g**(7\/6)\/g)))))**(-21) assuming g is positive.\nAnswer: g**(-2849\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8e - 77c?\nAnswer: -6dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 4*q = -24, 16 = -l + q - 5*q for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = g + g - 16, 0 = 2*f + 8. Let o = -10 + 15. Solve 5*t - 41 = 2*z - g, o*z + 34 = 3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47433466*i**2*x + 2*i*x + 50948*i - 48 wrt i?\nAnswer: -94866932*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 4*g + 6. Let o be a(3). Suppose 0 = 4*i - 0*i + o*d - 1389, 5*d - 1039 = -3*i. Suppose 4*u - 120 = i. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (60\/16)\/((-1)\/16). Let o be q\/(-16) + 6\/(-8). Suppose 77 = 4*y - x, -4*x = y + o*y - 72. Does 19 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 11, b: 3}. Give prob of picking 1 b and 1 j.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*753\/375 - 2. Let b = z - -5497\/375. Let g = -53084\/16687 - 1\/1517. What is the common denominator of g and b?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*f + 7*f + 6*f + (-f - 4 + 4)*((0 - 1 + 0)*(0 - 2 + 0) - 4 + 7 - 61) to g*f + z and give g.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 67*z**5\/20 + 9*z**4\/2 - 74*z. What is the third derivative of f(l) wrt l?\nAnswer: 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.57 and 4815.\nAnswer: -7559.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - -14 - -127 - (383 - 332).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -137.93197 rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h + 6 - 2 - 1 - 4 to the form d*h + j and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*x = 144, -5*g + 0*x - x = -212. What is the remainder when 600 is divided by g?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -2*t + 19 - 15, -j - 2*t = 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 6*y - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.447 + 0.147. What is the second biggest value in 0.5, 6, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22104 and 1795950.\nAnswer: 7183800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + (4\/(-9))\/(4\/(-18)))*216\/4644?\nAnswer: -6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121264 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/8 bigger than 1.85817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2212 + 2 + (-6 + 4)\/(-2). Let p = -73171\/33 + m. Find the common denominator of p and 107\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -4. Suppose 2*p + 0*p - 26 = l. What is the remainder when 22 is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/27*11\/(11\/(-2)). What is the closest to 0 in -0.1, 9, b, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.009 (c) -2\/7 (d) -4 (e) -0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1939, 1946, 1963, 1996, 2051?\nAnswer: 2134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14455413 + -4?\nAnswer: 1445540a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1110 + 264 = 100*w + 174 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 135956175 to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 + (6 + 10 - (45 + -28)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bwboqgaq. What is prob of picking 1 a, 1 o, and 2 b?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (200\/360)\/(3\/27).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 10*h - 49*h**2 + 44*h**2 - h + 9 + 4*h - 4*h. Let v(p) = -5*p**2 + 0*p - 2 - 2*p + 2*p**2 + 4*p**2. Calculate 2*o(n) + 9*v(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 373*k + 32210. What is j(237)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 719999 is divided by 359946?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 138 - 128. Calculate the highest common divisor of n and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/121 or -0.7?\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 60781?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000132776 rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 146, 570, 1276, 2264, 3534, 5086, 6920?\n\"Answer: 141*c**2 + c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - t + 1 + 3)*(-1401 + 877 - 829).\nAnswer: 1353*t + 1353","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 878, 1831, 2870, 4013, 5278, 6683, 8246?\n\"Answer: 3*k**3 + 25*k**2 + 857*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1*sqrt(91) + sqrt(91)) + sqrt(91) + (sqrt(91) - -4*sqrt(91)*-5))\/(4*(sqrt(252) + -4*sqrt(252)*4)).\nAnswer: sqrt(13)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - 0. Let i = -0.8 + t. Let c = 6\/2335 + -2347\/4670. Put c, -2\/17, i in descending order.\nAnswer: -2\/17, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2 - 3*h + 1. Let z(m) = -36*m**2 + 720*m + 636. Let y(o) = -20*b(o) - z(o). Factor y(l).\nAnswer: -4*(l + 1)*(l + 164)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 j when two letters picked without replacement from {h: 7, d: 4, j: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**4\/7 + 586*b**3\/7 - 2966*b**2\/7 + 4166*b\/7 - 1788\/7 = 0. Calculate b.\nAnswer: -298, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.868 - 157.682. Round d to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.0678*-9\nAnswer: 18.6102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1002103546?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 3*x + 0*x)*(-4 + 3 - 1) + (-x + 2*x + 4*x)*(-2 - 2 + 1).\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 5 = -3*k - 1, -k + j = 2. Let l = -1.4 + 0.4. Let o = l - -1.1. What is the nearest to k in -1\/3, o, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4*p - 16. Determine q(-12).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.99 (b) 8670 (c) -1 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -100*c + 97*c + 4*c**2 - 3*c**2 + 2. What is the units digit of s(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23793*u**2 + 507*u - 43805297?\nAnswer: 47586*u + 507","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three tenths of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*(-585)\/(-43200)*-30.\nAnswer: -39\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1802 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 28*q - 1699. Let r be w(61). What is the highest common factor of 57 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -717*c + 711 + 2181*c + 714 - 1426 to h*c + j and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from ucccuccdcucucc.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 1 - (-2 - (8 - 7))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*40390\/(-7735) + (-16)\/(-136).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -184751, -739083, -1662961, -2956379, -4619331, -6651811, -9053813?\n\"Answer: c**3 - 184779*c**2 - 2*c + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -535869*t - 1151886*t - 271862*t + 404375*t.\nAnswer: -1555242*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 6:18 AM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 591*s**2 + 40 - 40 - 1285*s**2 + 6450*s**2.\nAnswer: 5756*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/(-2))\/3)\/(78\/(-260)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - (6 - 7)) + -55 + 8.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-6) + 10455\/30. Let n = l - 330. Solve -17 = 7*k + n for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 597 = 3*c - 631, 4*l - 4*c + 72 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**5 - 28*i**4 - 36*i**3 + 92*i**2 + 200*i + 96 = 0. Calculate i.\nAnswer: -4, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t + 85550. Let d(b) = 2*b. Calculate d(k(s)).\nAnswer: -4*s + 171100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7087*q + 1080*q - 52*q**2 + 30*q**2 + 20*q**2.\nAnswer: -2*q**2 - 6007*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.72432 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7395 and 51680?\nAnswer: 4496160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -13.8 + -0.058585\nAnswer: -13.858585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 3598.\nAnswer: 10794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**3)\/h)\/h**(-11\/6)*(h\/h**(3\/17))**(-5\/3) assuming h is positive.\nAnswer: h**(353\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -77) + 12 + (1 - 8). Calculate the highest common divisor of b and 261.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -298473.12 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -z. Does z = 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 12*i**2 + 13*i + 14. Suppose -3*h = d - 0*d + 37, -4*d = 5*h + 71. Let j be r(h). Let x = j + 13. Solve -25 = 5*z - x*n, -n + 8 = 3*n for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -587, 4 in increasing order.\nAnswer: -587, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (5300 - 5269 + 0*g - g)*(-16*g**2 - 214 + 214) in the form l*g + o*g**3 + z + j*g**2 and give o.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -6*g - 54. Let j be n(-9). Solve 2*m - 3*p = 0, j*p - 17 = -5*m - p for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 2*m - 1 - 4*m)*(m + 6*m + 4*m).\nAnswer: -11*m**2 - 11*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 738, 739, 740, 741, 742, 743?\n\"Answer: y + 737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1300*s**3 + s**2 + 113*s + 49 wrt s?\nAnswer: 7800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -465770 = -363*u + 316*u. What is the thousands digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16291625 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a day in hours?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1920598, -3841205, -5761810, -7682413, -9603014?\nAnswer: -11523613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 917*g + 171. Calculate the remainder when p(1) is divided by 121.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 185 + -59 + -54 + -43.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*g + 21. Suppose -4*z - 5 = -k, 4*k + 10 = 6*k. Suppose -d - g = -z*d. Are d and -7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -35 from 16.5814.\nAnswer: 51.5814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -3*b + 2*a, b = -4*a. Let k = 29\/35 - 1\/35. Which is smaller: b or k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 163*i*o**3*v - 409*i*o**2*v - 91*o**3*v - 45*o*v + 2*v wrt i.\nAnswer: 163*o**3*v - 409*o**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11999 and 426?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 11:10 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 9*j**2 + 11*j + 12. Let m be ((-100)\/35)\/((-4)\/14). Let g be s(m). Suppose 53 = 4*p - 3*y - 51, 3*p - 4*y = 85. Which is bigger: g or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 456 and 53637.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 873339 a multiple of 255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - -8. Calculate the highest common divisor of n and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6 + 1 - 0) + (147960 + 35 - 41) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 375320 - -355?\nAnswer: 375675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1094, -1083, -1072, -1061?\n\"Answer: 11*x - 1105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-136)\/(-272) - (-10)\/(-6).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lflff. Give prob of sequence fff.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, n: 2, o: 5, l: 3}. What is prob of picking 1 o and 1 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 153039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 319712 and 582?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + (4 + (sqrt(931) - -2*sqrt(931)) + sqrt(931) - sqrt(931))**2).\nAnswer: 168*sqrt(19) + 8392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*g - 9. Let m(n) = n**2 - 3*n**2 - 3*n**2 + g*n**2. Let s(q) = -2*q. Determine m(s(o)).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**4\/2 - 10*c**3 + 301*c**2\/2 - 49*c = 0. Calculate c.\nAnswer: -14, 0, 1\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -0.1398?\nAnswer: -0.5592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y + 3\/4*y**2 + 3 + 1\/4*y**3.\nAnswer: (y - 2)*(y - 1)*(y + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of a**6\/120 + 19*a**5\/60 + 19*a**4\/24 + 3869*a**2. Give d(-18).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58 - 58 - 27*a**3.\nAnswer: -27*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.7 + -0.7. Let x = -158\/35 + 24\/5. Let p = -88 + 262\/3. What is the nearest to x in p, d, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/206, 68.72, 3, -3 in descending order.\nAnswer: 68.72, 3, 1\/206, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 3\/10 (b) 2 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**2. Let t(r) = -400*r. Determine y(t(f)).\nAnswer: -320000*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -10.00000132. What is s rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 0.1, 83, 15\/7, 4, 0.5, -9?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*b = -102*b + 399 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 16918?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -43*l + 608. Calculate c(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53 + 50. Let m be (10\/2)\/(0 - -1). Sort -4, m, u in ascending order.\nAnswer: -4, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-28))\/((l\/l**18)\/l*l))**23 assuming l is positive.\nAnswer: l**1058","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9900 by 55.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 23 - 4*n**2.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 149 or 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 3. Suppose -f*l = 5*r - 627, 2*l - 192 = l + 4*r. Calculate the remainder when l is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 533297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k - 2. Let b(w) = w + 1. Let c = 18 + -12. Let m(a) = c*h(a) + 13*b(a). Suppose 5 - 12 = 2*p + o, -5*p = -3*o - 10. What is m(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(-22)\/d*d)**(2\/127) assuming d is positive.\nAnswer: d**(-40\/127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.81542 litres to millilitres.\nAnswer: 3815.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from ummcmccummmucmmmmmmm.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 59713.66mm in centimeters?\nAnswer: 5971.366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.2 > -3298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17695*w**3 - w**2 - 9953*w + 1 wrt w?\nAnswer: 106170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 72224 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 5:46 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 7:21 PM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4*i = -6, i - 14 = -4*j + 3*i. Let w = 427\/3 - 141. Suppose -4\/3*o + w + 1\/3*o**j = 0. Calculate o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -67423883.\nAnswer: -13484776.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 94 = m, u + m - 16 = 6. Solve k + u = -8*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*5*(sqrt(153) - (sqrt(153) - sqrt(153)*2))*-3.\nAnswer: 540*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/3, 2, -0.1, -5, -2\/607?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -6*i + 12. What is the least common multiple of i and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 34\/9 - (-4)\/18. Suppose -y*v = 3 - 11. Solve -2*x = -x + v for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -14) + (1 - 8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, o: 2, d: 3, j: 1, p: 3, y: 1}. What is prob of picking 1 d and 1 y?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/2)\/((-5)\/70). Suppose -5*o + 10 - i = 0. Let q(z) = -z + 2. What is q(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31500054*w**3 + 10*w + 613235 wrt w.\nAnswer: -189000324*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and 0.853.\nAnswer: -1.147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 516693710 to the power of 1\/2, to the nearest integer?\nAnswer: 22731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49*u*z**4 - 1166*u*z**3 + 408*u*z**2 + 2552*u - z**4 + 3*z**3 - 2*z**2 - z + 1 wrt z?\nAnswer: -1176*u*z - 6996*u - 24*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2418 is divided by 304?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0241 to 3 decimal places.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (4 + -2 + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 6\/623, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*x + x - 668 = 0, -4*s + 2612 = -3*x. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*sqrt(396))**2 + -4*(sqrt(539) + -1).\nAnswer: -1580 - 28*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -120 + 218. Let j(p) = 3*p**2 + y - 98. Let t(s) = 3*s. Give j(t(d)).\nAnswer: 27*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6329208 a multiple of 282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*x**3 - 73*x**2 - 13*x + 238.\nAnswer: (x - 7)*(x - 2)*(10*x + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in 21, 3, -6?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 640524 or 640030?\nAnswer: 640030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = 48*j - 61*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34980 and 2260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/390 and 9\/10?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n - 7. Let c(g) = 2. Let b be (-7)\/(-14)*(-2 + 6). Let h(q) = b*m(q) + 2*c(q). What is h(-9)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 6. Let b(l) = l - 4. Let c be b(x). Suppose 5*p - 5 = 5*a, 3*a = c*p - 5*p + 15. Calculate the lowest common multiple of 6 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2269581229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/9)\/(g\/(g*g\/(g*g**(-2\/31)\/g))) assuming g is positive.\nAnswer: g**(359\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 15*m - 38. Determine d(18).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*((b\/(b*((b*b*(b*b\/(b*b\/b**(-12)*b)*b*b)\/b)\/b)\/b*b*b))\/b)\/b)*b\/(b\/b**(1\/9))*(b**1)**11)**(6\/7))**(9\/4) assuming b is positive.\nAnswer: b**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 7:30 PM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -121\/17 (b) -0.4 (c) -1\/2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -3 - (2 - (-3 - -1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 170\/(-153)*(-1 + -1)*3 + -5. Factor 4\/3*n - f + 1\/3*n**2.\nAnswer: (n - 1)*(n + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.24152 in -0.24, 0.2, -3\/5, -2?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 4*p - 2219 + 769, 0 = -5*u + p - 1450. Which is smaller: u or -291?\nAnswer: -291","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1340 divide 6560245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -7*u**3 + 7*u**2 - u + 5. Let h = -88 - -32. Let v = 51 + h. Let l(y) = -y**3 + y**2 + 1. Determine v*l(z) + c(z).\nAnswer: -2*z**3 + 2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -28409182, -56818359, -85227536, -113636713, -142045890?\n\"Answer: -28409177*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 220, 938, 2134, 3808, 5960, 8590?\n\"Answer: 239*t**2 + t - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 50 + 9 - 9)*(-40*w**3 - 127*w**3 - 2*w**3) + (5*w - 5*w - 2*w)*(w**2 + w**2 + 0*w**2).\nAnswer: -6933*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.942428l to millilitres.\nAnswer: 7942.428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h + 4. Let m be (-2)\/(-14) - 13\/(-7). Let z be k(m). Solve 7*v - 2*v + z = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0.2, -0.3, -3\/7, -2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/52 - 0 - (-32)\/39. What is the closest to w in -3, 2\/3, 2, 18?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 151, 886, 2119, 3850, 6079?\nAnswer: 8806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 122 - 77. Let z = l - 44. Let t be 1*(z + 2 + 1). Solve 4*i - 12 = t*d, i + 0*d = 3*d + 5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2919 = -5*v + 26*v. List the prime factors of v.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 9 + 3)*(2*q - 5*q + 5*q).\nAnswer: 38*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -18*b + 308. Let i be q(17). Find the second derivative of 11*j + 153*j**i + 2 - 306*j**2 - 35*j + 146*j**2 wrt j.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 389, 392, 407, 440, 497, 584?\n\"Answer: w**3 - 4*w + 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 16 = -3*n. Suppose 0 = 5*z + 4*o - 5*o - 16, n*z = 4*o + 13. Suppose -z*m = 19 - 55. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54033)\/7719*((-2)\/(-10))\/(-1)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -203*0.06\nAnswer: -12.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 1144*q - 6869. Give f(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a gram in milligrams?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 56609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -11*h - 17. Let b(d) = 4*d + 6. Let j(v) = -8*b(v) - 3*g(v). Let k(p) = 0 - 7 + 9 + p. Let x(m) = 4*j(m) - 3*k(m). Determine x(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - 1 - 13\/(-8). Let o = -54\/13 - -56\/13. Which is the second biggest value? (a) g (b) -0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 m when three letters picked without replacement from {m: 5, f: 3}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -25. Let v = d + 11. Solve 0 = 2*r - v + 11 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(19) - sqrt(19))*-6 + (sqrt(57)\/sqrt(3)*1 - sqrt(19)))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 5:18 PM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q + 10. Let j = -2 + 5. Let s be g(j). Let f(a) = -s*a + 2*a + a. Let o(c) = -c**2. What is o(f(u))?\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2366 and 1875224?\nAnswer: 13126568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 33\/16 < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + h - 27. Let x be i(0). Let j = 43 + x. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005278 rounded to six dps?\nAnswer: 0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-23 - -8) - -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 16) to base 9\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -403 (b) -4 (c) 0.0324\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/6 and -2\/7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/336 and -223\/7770?\nAnswer: 62160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 173251393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14946 is divided by 6599?\nAnswer: 1748","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8570, 17317, 26786, 37337, 49330, 63125, 79082, 97561?\nAnswer: 118922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*a + 34*a**4 - 4*a**4 - 8*a**4 wrt a.\nAnswer: 264*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -11*i + 2. Let o(v) = 190*v - 30. Let n(h) = 2*o(h) + 35*s(h). Give n(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31\/17 - -2\/85. Find the common denominator of ((-8)\/(-12))\/((-3)\/31) and g.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338 - 347 = 3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 21*g - 5. Let v(m) = -25*m + 5. Let i(z) = 6*d(z) + 5*v(z). Give i(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2677378\/(-4284) + 3 + 1. Let c = 1255178407\/2017781 - -4\/118693. Let h = o + c. Calculate the common denominator of h and -65\/4.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**4 + 445187*k**2 + 4257262*k wrt k.\nAnswer: -12*k**2 + 890374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 10 = -2*t, -s - 5*t = -t + 20. Let o(u) = 2*u**2 + u + 1. Let k be o(-1). Suppose k*a + 10 = 0, m = -0*m + 2*a + 16. Solve 2*l - m = -s*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, 4, 35, -1 in decreasing order.\nAnswer: 35, 4, -1, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -144 - -1294\/9. What is the nearest to 2\/3 in 1, -1\/6, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 * 2373.266\nAnswer: -26105.926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 145769970 by -24294995.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*k**2 - 14136*k + 853140.\nAnswer: -3*(k + 482)*(11*k - 590)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2271 divided by -5.\nAnswer: 2271\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -435*c**3 + 597.\nAnswer: -1305*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - -62. Find the common denominator of -15\/22 and (-11)\/(-88) + 322\/g.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676375 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2020 + -310033?\nAnswer: -302013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, g: 4, i: 2, m: 7, b: 3}. What is prob of picking 3 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -4*u**5 + 69*u**4 - 13*u**3 - 69*u**2 + 17*u = 0?\nAnswer: -1, 0, 1\/4, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, 2\/5, -5, -0.5 in decreasing order.\nAnswer: 66, 2\/5, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 135875, 137804, 139733, 141662, 143591?\nAnswer: 145520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 203039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5602 - -61580\/11. What is the common denominator of w and 35\/1551?\nAnswer: 1551","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -455 by -12.\nAnswer: 455\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (1 + 56 - 3 - (6 + (68 - 67)))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 5*x - 4037, -4*h - 799 = -x - 8*h. What is the second derivative of -2*b**4 - x*b**3 + 807*b**3 + 48*b**5 + 278*b wrt b?\nAnswer: 960*b**3 - 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 2*l + 55. Let d(g) = -2*g - 16. Let f be d(-6). Calculate the remainder when l is divided by ((-1)\/f)\/((-11)\/(-132)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -16. Which is greater: -2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 38*(-4)\/(-28) + 3\/(-7). Suppose -106 = -j + 5*r, 2*j = g*r - 11 + 198. Let p = j + -59. Calculate the remainder when 85 is divided by p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17001 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -171 + 168 - (38 + 11)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 108893866?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16\/1165 + -23753\/1983995. Is 0 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4969, -5005, -5041, -5077, -5113, -5149?\n\"Answer: -36*g - 4933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 119757 - 5?\nAnswer: 119752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*b - 292 + 137 + 179*b + 155.\nAnswer: 148*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -73254*q**3 - 1647*q**2?\nAnswer: -439524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 133 and -1.430145.\nAnswer: 131.569855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**3 + r**2 - 2*r + 3. Let h be z(0). Suppose -276 = -n + 4*c, n + h*c - 297 = -0*c. What is the greatest common divisor of 32 and n?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - (10 + 25 + -6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -194*u**3 + 988*u + 989. What is p(-1)?\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + -18 + (-118 - -84).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-20)*(-16)\/12.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 230220301 (base 4) to base 16\nAnswer: 2ca31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - 6. Which is the second smallest value? (a) 1\/4 (b) -5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-35) + 2*(-6)\/20.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/93, 7.3, -2\/13, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k**2 + 13*k - 3. Let v be z(-2). Which is greater: 14 or v?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 198\/4 + 1 - ((-63)\/2 + (-1848)\/(-56))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.8 - -1.7. What is the closest to b in -3, 3\/7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**2\/2 + 9044514*c - 18089031\/2 = 0. What is c?\nAnswer: -6029677, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140 (base 5) to base 15.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o - 2*o**2 + 4*o + (2 - 5 + 4)*(-4*o**2 + 3*o**2 - o**2 + (o - 3*o + o)*(1 - 1 + o)).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*d**3 - 30*d**3 + 0 - 1 - 2*d**2 + 15*d**3 as s*d**3 + c*d**2 + n*d + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 11*f**2 + 5*f. Let g(w) = 12*w**2 + 4*w. Calculate -5*g(s) + 4*n(s).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1473 (b) 1\/155 (c) -2\/17 (d) 1 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -168*p - 667. Calculate i(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*f = -143*f. Suppose f = -0*t + 5*t - 30. Let r(z) = z**3 - 5*z**2 - 5*z - 2. What is r(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 11*m**2 + 23*m - 115. Does 22 divide z(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 123\/(2 - 5) + (1 - -8). What is the second smallest value in w, 2\/5, -1\/5, 2\/11, 1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 759793.4 millennia to centuries.\nAnswer: 7597934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/3667?\nAnswer: -3\/3667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-690 + 228 - 1843 + 774 - 2193 - 2291)*(-8*u - 5*u + 4*u).\nAnswer: 54135*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 72a - -4a1?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35643519?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 8*z**2 - 8*z + 6. Let c be g(-9). Let b be ((-1)\/3)\/(c\/18). Suppose -b*r = -r - 9. Calculate the remainder when 25 is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-2)*((-4)\/15)\/((-88)\/(-132)). Which is the closest to l? (a) -5 (b) 13\/5 (c) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/96)\/((-205)\/1148)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -205*u**2 - 4111*u - 249. Determine v(-20).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 46*v**3 - 48*v**2 + 88*v**2 + 10 - 40*v**2 wrt v.\nAnswer: 138*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 16*c - 43. Give v(13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 350 + -479. Let s = k - -133. Which is the second biggest value? (a) -0.05 (b) -1 (c) s (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55251598 to the nearest integer?\nAnswer: 7433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 209 - 208. Let a be 2\/(-6)*2*30. Let q be 8\/a - (-56)\/90. What is the third smallest value in x, -3, q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w**3 + 3*w**2 - 12*w - 20. Let n be a(-6). Suppose 0*u = -2*u + n. What is the greatest common divisor of u and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 20*j**2 - 22*j + 39. What is d(19)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2061 is divided by 687?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 113 - 114. Which is the smallest value? (a) p (b) 5 (c) -4\/9 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 45*t**3 - 3*t**2. Let y(l) = 46*l**3 - 3*l**2. What is 5*i(z) - 6*y(z)?\nAnswer: -51*z**3 + 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 243252 and 14964?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -753 (c) -5 (d) -1\/3 (e) 1\/5 (f) -2 (g) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in milligrams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 80704 or -9?\nAnswer: 80704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**3\/10 + 69*z**2\/5 - 45019*z\/10 + 180438 = 0.\nAnswer: -305, 51, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2 + 504*g + 31752 = 0. Calculate g.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17.41 - -0.41. Let c = w + 17.5. Let r = -1\/117 - -3\/13. What is the second smallest value in c, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 10:46 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.734 - 12.653992. Let y = -0.0803 + r. What is y rounded to 5 decimal places?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 12913, 51688, 116331, 206842?\n\"Answer: 12934*a**2 - 27*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5986277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 19 = 129. What is the highest common factor of x and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -6, -1.1, -2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 3*l**2 - l + 211. Let y be b(0). Let g = -71 + y. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67 (base 13) to base 9\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*w + 385*w = -22067712024 - 282685976. What is w rounded to the nearest one hundred thousand?\nAnswer: -50100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -32*c - 228. Suppose 0 = 2*y + 12*b - 7*b + 15, 66 = -5*y - 3*b. What is the tens digit of q(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 43510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -182*l**3 - 6*l**2 - 6*l - 1. What is the remainder when b(-1) is divided by 97?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.63 - 3.73. Which is the third biggest value? (a) 8 (b) 3\/4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(153) - (sqrt(68)\/sqrt(4) + sqrt(17) + 1))**2.\nAnswer: 22*sqrt(17) + 2058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -290, -4, -1, 343?\nAnswer: 343","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -7*r + 14*r - 3*r + 0*r. Let g(v) = -2*v + 8. Let u(i) = -1. Let p(s) = g(s) + 8*u(s). Give p(b(y)).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 874477?\nAnswer: 874477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y**2 + y + 9. Suppose -x + 5 - 1 = l, -x = 4*l - 16. Suppose -4*f - l = -0, 0 = -3*d + 2*f - 13. Is m(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000291707173 rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1362995 is divided by 96.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 367381907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3 = -b, 4*w + 2 + 1 = b. Let i be (-1 - 3)\/(-2) + w. Suppose -k + i*m = -4*m, 4*k - 100 = -4*m. Is 10 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/11560 and 1\/66574040.\nAnswer: 66574040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -279\/13 in 2\/7, -3, 1\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 97, 149, 5, -3.\nAnswer: -3, 5, 97, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1794 - -1838) + 1 + -56.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 7 = -3*g, 6 = -3*g + 3*a - 0*a. Put g, 1, -14 in increasing order.\nAnswer: -14, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/1776*-111)\/66\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2674320 and 1033260?\nAnswer: 45463440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.1 - -2. Let a = -1.19 - -4.19. What is the smallest value in -1, v, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1013 divided by -15659\nAnswer: 1013\/15659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144 and 816.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -4 - (-1 - 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0 - 8 = 0. Suppose -l*u + 29 = -h, 4*h + 2*u = -u - 21. Is 2\/h + (-1048)\/(-18) - 1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 10 = 5*o, -5*o = 3*x + 41 + 4 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, q: 2, t: 4, x: 1}. What is prob of sequence qutq?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -179\/446670 and -127\/24375420.\nAnswer: 170627940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 541766 and 318?\nAnswer: 1625298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6610294 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81821, -163642, -245467, -327296, -409129, -490966?\nAnswer: -572807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-46)\/(-95) - -2*1\/10. Let j = o - 105\/209. Let p = 53 - 213\/4. Which is the nearest to 1? (a) 1 (b) j (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of r**6\/360 - 43*r**5\/180 + 65*r**4\/9 - 200*r**3\/3 + 9*r**2 - 45. Factor p(i).\nAnswer: (i - 20)**2*(i - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 131, -4, 2, 1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 56*s - 450. Let h be y(8). Put -5, h, 3, -3 in descending order.\nAnswer: 3, h, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1603 + 2835. List the prime factors of d.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2506*m - 2491*m - 28 - 75 - 137 = 0 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (48 - 4796\/110)\/(1\/9380) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -349*t - 454*t - 21667 - 28966 = -11286 for t.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/1050543 and 43\/709341.\nAnswer: 82992897","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 54*d - 60*d + 36 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (32*x - 13*x - 18*x - 1)*(x**3 + 9 - 8 + 11*x**3) in the form j*x**4 + i*x**2 + y + g*x + d*x**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 7:25 AM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1407 = 3*x - 5*y - 1387, 94*x - 2*y + 936 = 0 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*c + 108 - 135 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -136461 - 4?\nAnswer: -136465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k - 7. Let j be f(-3). Suppose -3*x - 81 = -5*q, -1 = -5*q + j*x + 74. Calculate the highest common factor of 72 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.744 and 6.70834?\nAnswer: 4.99100496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x + 4. Let t be g(-2). Let d = t + 5. Suppose 4*u + 31 = d*l - 110, -2*u = -4*l + 114. What are the prime factors of l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 + -247. Let i = 295 + o. Solve -5*x + 20 = -5*z, z - 3*x = 5*z - i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6348*f**3 + 13*f**2 - 116*f wrt f?\nAnswer: 38088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44*i*z**2 + 920353*i*z + 2*i - 316*z**2 wrt z?\nAnswer: -88*i - 632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 458846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 4:29 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 15, 2*a - 66 - 64 = 4*x. Suppose 5*j = 4*b - 246 - 93, j + 408 = 5*b. Let d = x + b. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 5 (b) -21 (c) 26 (d) -1.5 (e) 0.057\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -13. Let s = 1 + o. Suppose 4*c + d = 133, -d + 12 = -s*d. Calculate the remainder when c is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.40062456 rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 75 + -49. Suppose 92 = 2*l - n. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26625?\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.356 - -11.357983. What is g rounded to 5 dps?\nAnswer: 0.00198","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126380, -126340, -126268, -126158, -126004?\nAnswer: -125800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10658 is divided by 1751?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9386*i**6 + 250*i**2 + 52 wrt i.\nAnswer: 1126320*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**(-16))**(-4\/3))**16 assuming f is positive.\nAnswer: f**(-384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1413\/59 - -255839\/295. Let r = l - 882. Let j = 43\/28 - 2\/7. What is the common denominator of r and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2529 + 8850 = 7*s. List the prime factors of s.\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + o = 8 - 3, -4*b + 4 = 2*o. Let c = 20 - b. Let j(k) = k**2 + 3*k - 4. What is the remainder when j(6) is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50170 and 6815.\nAnswer: 2357990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1440555255 (base 6) to base 10\nAnswer: -17962451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*w**4\/17 + 1278406*w**3\/17 + 63803240*w**2\/17 + 790650750*w\/17 - 120037500\/17 = 0.\nAnswer: -25, 3\/20, 32010","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 535, -2029, 79 in decreasing order.\nAnswer: 535, 79, -2\/5, -2029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2\/21, 3, -2\/9, -0.3.\nAnswer: -7, -0.3, -2\/9, 2\/21, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/(y\/y**(1\/2)*y*y)*y)\/y*y*y*y)**36)**(-5\/9) assuming y is positive.\nAnswer: y**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*f*k*m + 965115511*f*k + 4*f*m + 7013468*m wrt m.\nAnswer: 4*f*k + 4*f + 7013468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 2\/11, -1646\/9, 0 in ascending order.\nAnswer: -1646\/9, 0, 2\/11, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -4, 0 in decreasing order.\nAnswer: 1, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9 - (0 + 1 + -5). Suppose -d = s - 8. Is (-8)\/(-20) - 6593\/s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.366 - 0.36600153. Round l to 7 decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 2 + (-2 - 2 + 2)*(2 - 2 - 2) + 0 + 4 - 5)*(0 - 4 + 3)*(0*q + 0*q - q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 462.12, -19\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 326 (base 16) in base 14?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -p**4\/24 + p**3\/6 - 5*p**2. Let z be r(2). Suppose -28*i - 198 = -61*i. Sort z, 5, 1, i.\nAnswer: z, 1, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -464 - -1453\/3. Let i be 3 - 66\/14 - 6\/21. Calculate the common denominator of 2669\/(-170) + i + 7 + -1 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1793711 less than or equal to 1793713?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 21*u + 1555. Let y be m(-74). What is the third smallest value in -18\/19, y, 2, 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106, -89, -48, 23, 130, 279?\nAnswer: 476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/131 (b) 1\/2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**4\/8 + 593493*l**3\/8 = 0. What is l?\nAnswer: -197831, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -53, 20, 195, 460, 803, 1212, 1675?\n\"Answer: -2*o**3 + 63*o**2 - 102*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357 = -102*s + 1071. Solve 2*u = -4*u - s*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12333, 12314, 12303, 12300, 12305, 12318, 12339?\nAnswer: 12368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*k - 4, -4*k = -o + 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-851)\/((-7)\/((-70)\/(-5))). Suppose 14*j - w = 1378. Which is bigger: 221 or j?\nAnswer: 221","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203517 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*v - 45 = -37*v. Let j be 4 - (-1 + (-5 - v)). Let a be 26*((-6)\/j - -5). Which is greater: a or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 24*u + 7. Suppose -1277 = -130*y + 1843. Determine j(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 57, 84, 111, 138?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 1) + (-1 - -14) + -7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00028803484 to six decimal places.\nAnswer: -0.000288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 37 + 47 + (-37 - -30)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 3*q - 29. Let a(u) = u**2 - u - 1. Determine 5*a(z) - i(z).\nAnswer: 4*z**2 - 8*z + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325) + (sqrt(325) + sqrt(325)*1*1)**2 + 0 - (-6*-2*sqrt(325) + -4 + sqrt(325)*2)**2.\nAnswer: -62416 + 565*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*m = 256*m + 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 11*q**2 + 10*q + 4. Let r be h(-10). Suppose y - 23 = -5*w, -3*w - r*y = -y - 21. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + z + 1 = 0, 4*b - 4*z = 10 + 18. Let x be 1\/(1\/(10\/b)). Find the common denominator of (-14)\/x + 1 + -1 and -5\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 845 = 2*h + 3*h, 0 = -2*h + s + 335. Suppose -5*c - 460 = -4*g, -2*c = -4*g - 5*c + 460. Let n = h - g. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(26)\/(sqrt(6)\/sqrt(3)).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 50 - 4*k**3 + 6*k**2 - 57 + k**6 + 4*k**3. What is the second derivative of m(t) wrt t?\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 7*s. Let g(z) = 6*z. Let o(k) = -5*g(k) + 4*y(k). Let a = 8 - 2. Let i(b) = -b. Calculate a*o(d) - 7*i(d).\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.57 - 0.07. Let h = -1 - -1. Let p = 0.2 + -0.19. What is the second biggest value in h, p, x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1968 and -510 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/50 and -7\/25.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.05 + 6. Let f = n - 1.95. Let m = -6 - f. What is the second smallest value in m, 2\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*p**4 - 165*p**3 + 940*p**2 - 780*p = 0. What is p?\nAnswer: 0, 1, 6, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 639 and 90884970?\nAnswer: 90884970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32.5 + -160.5. Let n = -127.6 - b. What is the second biggest value in n, -6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12046*a - 134 = 12014*a + 58 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express p**3 + 7*p**2 - 39*p**2 + 12*p**2 - 5*p + 8*p**4 + 14*p**2 + 7*p**2 in the form g + i*p**3 + b*p**2 + q*p**4 + z*p and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -h + 5630. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 8*v + 195. Let i be u(-25). Let j(w) = -5*w + 1. Let b(o) = -9*o + 2. What is i*j(n) + 3*b(n)?\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w + 16. What is the lowest common multiple of x(-8) and 316?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 1 + 19*w - 6*w + 5 to the form o + g*w and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.037 - -0.067. Let u = -182 - -729\/4. What is the closest to u in -1\/5, 6, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*g = 1017*g - 7150 + 10418 - 53188 for g.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -0.087.\nAnswer: -0.087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 197 and 197.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 350 = 7*s. Let j = -69 - s. Put -9, -3, 3, j in descending order.\nAnswer: 3, j, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 684?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/24*6*0\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21061100 - -6?\nAnswer: 21061106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12230 = 66*l - 5326. Which is smaller: l or 260?\nAnswer: 260","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*l - 3*l = -27*l - 130 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48100320 to the nearest integer?\nAnswer: 6935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -9*z**3 - 1. Let p be m(1). Let w(i) = -4*i - 1. What is the units digit of w(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*o**3 + 5662 - 6*o**3 - 2*o**3 + 2359*o + 6*o**2 - 6*o**2 wrt o.\nAnswer: -6*o**2 + 2359","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 30\/25*10\/3. Suppose -5*w = -20, -o*p + 0*p + 4*w + 448 = 0. Suppose 2*d + 180 = 5*i, -5*d + p + 64 = 5*i. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011010111101 - 1000?\nAnswer: 10011010110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 9*r + 4. Let x be m(9). Solve -s + 0*s + 5*h - 23 = 0, -8 = x*s + h for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r - 8. Let o be (-150)\/105 + 4\/(-7). Determine b(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -17119, -17095, -17065, -17029, -16987?\n\"Answer: 3*x**2 + 15*x - 17137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-4 + (-741)\/(-351) + 2\/9.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-4)\/10 - (-24)\/(-15)) + 56?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2289763 divided by -3001\nAnswer: -763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301 is divided by 83?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 33. Calculate the greatest common divisor of 42 and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -p + 254, -771 = -3*p + 6*z - 9*z. What is the common denominator of 36\/14*84\/p and -109\/36?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1954479 is divided by 488559?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -58 + 35?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*p + 74*p - 120 = 136 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -7*s**2 + 169*s + 39. Give x(24).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 77 = 5*k, -5*a - 16*k + 75 = -11*k. Suppose 0 = n - 21 + a. Let w(i) = 2*i**2 - i - 1. What is w(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*v = -61*v + 7 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*y = 4*y - 10, 3*y = 5*o - 4. Let j(z) = -z**2 - z**3 + 0*z**o - 2*z**2 + 3*z. Calculate j(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -7, 70, -20 in decreasing order.\nAnswer: 70, 4, -2, -7, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + m + 1. Let k = 10 - 7. Let v(u) = -u + 8*u - 2*u + k + 0*u - 4*u**2. Let a(t) = 5*q(t) - v(t). What is the first derivative of a(h) wrt h?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -u**4\/4 + 49*u. Let o(r) be the first derivative of 9*r**2\/2 + 1. Give q(o(i)).\nAnswer: -243*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 120 - -6. Calculate the highest common divisor of q and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 14*r + 6. Let x be l(-2). Let h be (-4)\/26 - x\/52*-2. Let b(o) = -4*o**3 - o**2 + 1. Let z be b(1). Sort 2, h, z in increasing order.\nAnswer: z, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -10568?\nAnswer: 10573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -7772944*z**2\/7 - 56864048*z\/7 - 103999204\/7 = 0. Calculate z.\nAnswer: -5099\/1394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(500) - (-4 + sqrt(5) + 0))**2 + sqrt(20)\/((-2*sqrt(16))\/sqrt(4)).\nAnswer: 179*sqrt(5)\/2 + 430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20824880 to the power of 1\/2, to the nearest integer?\nAnswer: 4563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/15 + 1708*k\/5 + 1093974\/5.\nAnswer: 2*(k + 1281)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4 + 3*((sqrt(1053) + (sqrt(1053) + 0 + sqrt(1053) + 3)**2 - (sqrt(1053) - (sqrt(1053) + (-1 + sqrt(1053))**2)*2)) + 2).\nAnswer: 270*sqrt(13) + 18998","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and -150.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-16)\/3 - -2)\/(8\/(-108)). Let v be (-60)\/(-39)*(-156)\/(-24). What is the highest common factor of v and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 83 + -47. Suppose 4*d + 855 = 5*h - 0*h, -3*d = -4*h + 685. Suppose -k - y = -h. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*c - 2*c**2 + 40*c - 10*c + 42*c - 19*c in the form w + h*c + b*c**2 and give h.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: 90535 divided by -3\nAnswer: -90535\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 27\/7 and -243754 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(275) + (sqrt(275) - (sqrt(275) + -2)) + -5)*-4)**2.\nAnswer: 320*sqrt(11) + 4464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 - -0.1. Suppose 36 = -25*b + 19*b. Let u be 74\/(-4)*b*(-3)\/9. Which is smaller: h or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -77*d + 412. Give b(3).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n + 5. Let i be d(-3). Is 53 + i + 7 + -3 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 4*x, -4*x = 3*j - 3*x - 5. Let c = 4 + 1. What is the second derivative of n**j - n - n**2 + 2*n**c wrt n?\nAnswer: 40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggqgggggqqgggg. Give prob of sequence qgqg.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10615850 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 287*a**2*d**4 - 269*a**2 + 76*d**4 - 344*d wrt d?\nAnswer: 3444*a**2*d**2 + 912*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4407*g**3 - 2204*g**3 - 2207*g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 1 - 1)*(-2*v**2 + 1 - 1 + (2*v**2 + 0*v**2 - 4*v**2)*(1 + 1 - 1) - 4*v**2 + 5*v**2 + 0*v**2 + 8*v**2 - 56*v**2 - 35*v**2).\nAnswer: 172*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -10*k. Let i(h) = h. Suppose 99*n - 168 = -69*n. Determine n*j(r) + 20*i(r).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 11. Let c be 92\/(-126) - 2\/(-7). Let u = -1671.1 - -1671.3. What is the closest to -0.1 in u, h, c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 8*i - 11. Let u be d(-6). Suppose v + 5 = 5*t, -t = -0*v - 2*v - u. Suppose -2*o + 3 + 3 = v. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**6\/a**2*(a**0)**14)**(2\/31) assuming a is positive.\nAnswer: a**(8\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 58211343?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7402, 7398, 7392, 7384?\n\"Answer: -x**2 - x + 7404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + m**2 + 1. Let j be q(2). Let f(r) = 11*r - 1. Let a(c) = -9*c. Let s(d) = -3*a(d) - 2*f(d). Let v(b) = -b - 3 + 2*b + 4. Give j*v(l) + s(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(-1\/3))**(-2\/23))**(-26) assuming a is positive.\nAnswer: a**(260\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49481.539 - -49459. Let s = -0.039 - w. Round s to 0 decimal places.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0891 * 11008\nAnswer: -980.8128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -107583216*z**3 + 3*z**2 - 5720*z - 361?\nAnswer: -645499296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 801979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4013968 and 36904.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 272475 and 17325?\nAnswer: 2997225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millennium in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10575098*l**2 + 10811788 wrt l?\nAnswer: -21150196*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -10) + (-2 - 7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c. Let r(i) = 83*i**2 + i - 2. Let x be r(1). Suppose 0 = 5*t, 2*t + 2*t + 86 = -w. Let g = x + w. Let y(u) = -u**2 - u. What is g*y(l) - 2*j(l)?\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 to the power of 1\/8, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100011100010110110 (base 2) to base 13.\nAnswer: -51363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 5 (c) -1168\/7 (d) 80\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 4*v = -44, 9*g + 30507*v = 30527*v - 133 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-21)\/8*6528\/(-4080)*-1?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 0 + 9 - 3 + 15*q - 10. Suppose -f = 2*r - 4*r + 9, 0 = 2*f + 10. What is the units digit of d(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 369*o**2 + 1433*o - 719*o - 714*o + 1.\nAnswer: 369*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 x when four letters picked without replacement from {m: 11, s: 1, x: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/3 + 9 + -7. Let r = 5 - s. Suppose 9 = r*y - 6*y. Solve -2*o + 4*t = -8, -4*t = -2*o - y*t + 5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5975722 (base 11) in base 3?\nAnswer: -201121020211002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -8 + -7 + (7 - -1 - -20)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*r + 3*r. Suppose j - 2*o - 34 = 0, 7*o - 95 = -5*j + 2*o. Is j\/r*1 + -1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 4. Suppose -5*k - 11 - 4 = -5*i, w*k - 22 = -5*i. Solve -j = 3*t - k, 1 = 5*j - 4*j - 4*t for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*x - j, -2*x + 3*j - 2744 = -2742 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + -1 + (-2)\/(-2). Suppose -70 = -12*b - 10. Let t(a) = 4 - a - 2 - b. Give t(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -330369 and -204?\nAnswer: 67395276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 2. Let z(f) = 5*f - 63. Let g be z(15). Suppose -7*y + g = -2. Let h(s) = -4*s**3 + s**2 - s + 9. Calculate y*h(k) + 9*x(k).\nAnswer: k**3 + 2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -3*f + 2*j, 23*j - 21*j + 54 = 4*f. Solve 0 = -2*i + 10, -6*n = -5*n + 4*i - f for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -13*j + 87. Let w be v(6). Sort w, -5, -2 in ascending order.\nAnswer: -5, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*10\/75)\/((-6)\/(3*-222))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b79 (base 14) to base 15.\nAnswer: -173c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -50330*i - 10. Let n be y(3). What is n rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1940008 is divided by 10000?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 368\/920*(-35)\/(-10) - (4\/2 + -1). Let a = 0.15 + -0.1. Let l = a - -0.03. Put h, l, -4 in decreasing order.\nAnswer: h, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q. Let h(v) = 9*v. Let n(t) = 3*h(t) + 7*p(t). Let m(b) = -3*b + 1. Let i(f) = -m(f) + 2*n(f). Let z(g) = 4*g - 3. Determine 5*i(j) - z(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 423 + 114. Is 26 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - 0. Let d be (w + -3)*3\/(-6). Let k(m) = -m**3 + 2*m**2 + 4. What is k(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 205843*p*y**3 - 4*y**3 - 476*y**2 + 6 wrt p.\nAnswer: 205843*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 + 12320*g + 1111164.\nAnswer: 4*(g + 93)*(g + 2987)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/4)*u**(1\/4))**(-2\/53)*(u*u**(-2\/5))\/(u**7\/u)*(u**(-3\/10)\/u*u)\/u*u**4 assuming u is positive.\nAnswer: u**(-27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/6*2\/(-3)*(-936)\/52?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of y**3 + 15. Let g(j) = 36*j. Determine x(g(l)).\nAnswer: 3888*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - y**2 + y. Let x(o) = 96*o**3 + 27*o**2 - 6*o + 7. Let f(l) = -62*l**3 - 19*l**2 + 4*l - 5. Let b(r) = 7*f(r) + 5*x(r). Give 2*a(h) + b(h).\nAnswer: 48*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3 = -5. Suppose -p + b*p - 176 = 0. Let n be (-186)\/p - ((-106)\/(-22) + -5). Which is smaller: -0.1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56 - 2*i**3 + 28 + 35 to q*i**3 + g + y*i + a*i**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m**3 - 207*m**2 - 121*m + 3371. Calculate n(52).\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7543 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18547.8 - -18548. Let t = -0.4 - 0.1. What is the smallest value in g, 1\/4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -1\/19 (b) 4\/3 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express f**4 - 428 - 4*f**3 + 427 - f**2 - 6*f + f**3 in the form l + j*f + s*f**2 + u*f**4 + p*f**3 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.062182 micrograms in nanograms?\nAnswer: 5062.182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 152763 and 375648.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dvzw when four letters picked without replacement from {z: 2, d: 9, w: 1, k: 6, v: 1}?\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5571 - -61279\/11. Let l be -3*(4 - 2)\/(-4). Which is the closest to 0? (a) l (b) 0.4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g + 1. Let z(w) = -w**3 + 4*w**2 - 5*w - 8. Let i(y) = -3*a(y) - z(y). Let d be i(4). Let t = d - 7. Does 3 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 2*i + 4*s - 32, -4*s + 24 = -4*i. What is the common denominator of 390\/i*10\/105 and 85\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*g*i**4*r - 2543*g*i**3*r**2 - 25*g*i*r**2 + g*r**2 - 1138*g*r wrt i?\nAnswer: 48*g*i**2*r - 15258*g*i*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -522*s - 523040924 + 523040924.\nAnswer: -522*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 998\/6895 - 6\/197. Let c(n) be the first derivative of -1\/21*n**6 - t*n**5 - 1\/14*n**4 + 0*n + 0*n**2 + 0*n**3 - 2. Solve c(u) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -465765 (base 9) to base 12.\nAnswer: -115b35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*h**3 + 2*h + 5*h**3 + 49*h**4 - 48*h**4 + 0 + 2 as n*h**3 + f*h + k*h**2 + x*h**4 + v and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 489 divided by -3?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -35*j - 595. What is u(-17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 103, -1, 1\/7, -0.5 in increasing order.\nAnswer: -1, -0.5, 1\/7, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13 + 9 - 13*p + 4 with respect to p.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42797, -42797, -42799, -42803, -42809?\nAnswer: -42817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50 - 48. Which is the nearest to x? (a) 2\/13 (b) -1\/6 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 425032036 a multiple of 3278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/161 - 2749\/966. Let u(o) = -o**2 - 4*o + 1. Let g be u(-5). Which is smaller: g or x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 69\/4789?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 74 - 45. Suppose 0 = -2*x + 5*u + 21, 4*u - 8 + 28 = 0. Calculate the remainder when h is divided by (-4)\/(x + (-12)\/(-8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 229676?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (14 + -37 - -18).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (134*p**3 - 80*p**3 - 92*p**3 - 73*p**3)*(-38*p + 53*p + 59*p) in the form h*p**3 + n + j*p**4 + t*p**2 + g*p and give j.\nAnswer: -8214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8037 and 317908.\nAnswer: 2861172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 4. Solve -l*p = 24 - 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282593?\nAnswer: 461, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/57? (a) 5 (b) -2\/417 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-5))\/((-42)\/525). Let o(u) = 3 - u**2 + 1 - 5*u + 2*u**2. Let p be o(4). Which is the closest to -2\/3? (a) p (b) -0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y - 2*p + 98 - 64, 0 = 3*y + 15*p - 207 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7, 9, 11, 13, 15?\n\"Answer: 2*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -769*j**2 + j - 19 + 771*j**2 - j to d*j + s*j**2 + r and give r.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -297*s - 920 - 2347 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, x: 2}. What is prob of sequence xpx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -369, -879, -1399, -1935, -2493, -3079, -3699?\nAnswer: -4359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/9991060 and 107\/38.\nAnswer: 189830140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -346\/231 - 1\/462. What is the closest to 2\/5 in 0, 3\/10, d?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -0.5, 0.96, -12727?\nAnswer: -12727","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q - 377 + 759 - 382 - 18*q.\nAnswer: -27*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 237*q - 241*q + 13 + 1, -6*q = -q - j + 3*j - 19 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2233 - -1979. Suppose -20*a + u = -11*a. List the prime factors of a.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 105*y**4 - 742078*y**2 - 178328292*y wrt y?\nAnswer: 1260*y**2 - 1484156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and 1713?\nAnswer: -34.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1707253 millennia in years?\nAnswer: 170.7253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*l - 18 = 0, -4*l = 3*x + 2*x - 33. Is 3381\/(-14)*(-6)\/x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 169490531 - 169490531 - 22668*q to the form z + y*q and give y.\nAnswer: -22668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30 - -8)*(60\/(-8))\/(-5)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*t - 48 = 0. Suppose 2*i + 16 = t. Suppose -4*l + 12 = -l. What is the least common multiple of i and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -226520*x**3*y**3 + x**3 - 3226260*x**2*y**3 wrt x?\nAnswer: -1359120*y**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 37*m - 27. Calculate x(0).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -2. Let n = -3 - -4. What is the nearest to r in 2\/11, n, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 14649*b**2 - 55*b + 22903. Let l(q) = -7324*q**2 + 30*q - 11451. Let u(p) = 6*h(p) + 11*l(p). Differentiate u(k) with respect to k.\nAnswer: 14660*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 764614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.881322 centuries to months.\nAnswer: 11857.5864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 4*v - 1. Let r be a(2). Suppose -3*m - 5*t + 3 = 2, 0 = r*t + 3. Solve -2*h = w + 5, 5*h + 9 = m*w + 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 4*f - 710, 7*j + 4*f + 256 = 5*j. Let z = 140 + j. Let y(t) = -3*t**3 + t**2 + t + 2. Determine y(z).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1490890\/7 + -212984. Factor 6\/7*v**2 + 0 + n*v**3 + 4\/7*v.\nAnswer: 2*v*(v + 1)*(v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 188, 729, 1630, 2891?\n\"Answer: 180*x**2 + x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 388314399 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 (-12)\/(-4)*(-8)\/12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x = 26*x - 1565. Suppose -5*g = 5, -3*h + g + 3*g + x = 0. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3140726 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -0.948\nAnswer: 4.052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*i*k**3 + 106*i*k**2 + 2*k**5 + 7*k**3 wrt k.\nAnswer: 156*i + 120*k**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 8*h**2 - 6*h + 10. Suppose 0 = 4*t - 3*b - 28, -8 = 4*t - t + 5*b. Suppose -t*c - 28 = -0*c. Let a be m(c). Solve -a*f = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -51840*u**4 + 3170*u**2 + 20880*u**3 + 33424*u**5 + 0 + 140*u + 2 - 5776*u**5.\nAnswer: 2*(u - 1)**2*(24*u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 3*i - 7. Let p be q(-5). Suppose p*h = -h + 8. Suppose c = 19 + h. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yycywyrrwrd. Give prob of sequence crrr.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01679 and -0.3.\nAnswer: -0.005037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -670\/472493?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 37913?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 1 - 4 - 3 - 3*k + 2. What is the remainder when v(-8) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49429.43 millimeters in meters?\nAnswer: 49.42943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + -3*sqrt(117) + -4 + 4*(sqrt(117) + -2)*-4)**2.\nAnswer: -12312*sqrt(13) + 171864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -63*x - 237. Does 13 divide j(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of t**5\/80 + t**4\/24 + t**3\/24 + 16*t. Factor v(r).\nAnswer: r*(r + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 6*s - 5. Suppose 5*y + w + 2*w = 61, -48 = -4*y - 2*w. Let d be t(y). What is d rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4*i**2. Let x(b) = 7*b**2 + 8 - 8. Determine n(x(r)).\nAnswer: -196*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 102307?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = t + 5. What is the smallest common multiple of ((-2)\/(-4))\/(2\/8) and (26\/(-4))\/(t\/(-10))?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 92280.9 + -92280.4800146. Let u = 13.42 - 13. Let t = u - x. Round t to six decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k**3 - 6*k**2 - k - 9. Let a(m) = -m**3 + 1. Let b(h) = -5*a(h) - v(h). Is b(-4) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-3) - (-29 + -111). What is the greatest common factor of w and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 21 = -39. Let j = k - -17. Factor -10*o - 22*o**3 + 2 + 18*o**2 + 10*o**4 - 2*o**j + 2*o**3 + 2*o**2.\nAnswer: -2*(o - 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**4\/12 + d**3\/3 + d**2. What is the tens digit of c(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 411 = 119. What is the remainder when h is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 444453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.94 + 1.94. Sort h, -5, -4 in increasing order.\nAnswer: -5, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**4\/4 - 333405*w**3\/4 + 27772211579*w**2\/4 + 2919724467585*w\/4 + 722987980650 = 0.\nAnswer: -104, -1, 166755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + 591.102.\nAnswer: 590.902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1403.\nAnswer: 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**2)\/q)\/q*q**14*((q**(-11)\/q)\/q)\/(q\/(q*q\/(q*q\/q**(-8\/9))*q)) assuming q is positive.\nAnswer: q**(10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -386 + 6*g - 4*g - 40*g**2 - 4*g.\nAnswer: -40*g**2 - 2*g - 386","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5*k**2. Let g(x) = -9 + 1 - x**2 + 8. Let f(i) = 18*g(i) - 4*l(i). Let j(a) = -6*a - 2*a - 3*a + 2*a. Determine j(f(y)).\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 4617.21394.\nAnswer: -4614.21394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x + 2*x - 3 + 0*x. Let u be z(5). Suppose -2*b - u*b = -8. Solve 0 = -l + 2*o + b*o - 9, 0 = -3*l + 4*o - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -759848, -759698, -759456, -759128, -758720?\n\"Answer: -w**3 + 52*w**2 + w - 759900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2040351, 4080949, 6121547, 8162145, 10202743, 12243341?\nAnswer: 14283939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 61081*b - 183255. Give n(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 853459951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -249.421 + -0.579. Let w = c + 254. Put 0.7, -0.02, w in decreasing order.\nAnswer: w, 0.7, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence honh when four letters picked without replacement from {n: 1, q: 1, o: 2, h: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ohggggowggrggghpwprg. What is prob of sequence pgpg?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19198 is divided by 66.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -w - 4*i, -2*w - 2*i + 5 = -9. Let k be (-3)\/5 + 138\/30. Suppose f + 2237 = x + k*x, 1778 = w*x + 5*f. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120211 (base 5) to base 2.\nAnswer: 1000101001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1459 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8166247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y + 11*y + 73 = -7*g, -g + y = 9. What is the fourth smallest value in -1\/2, 1, 1\/4, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*o**2 + 4*o**2 + 4*o**2.\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28055*i**2*x**2 + 4*i**2*x - 6*i*x**2 - 297*i*x - 496*i + 3*x**2 wrt x.\nAnswer: -56110*i**2 - 12*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (1 - 0)*0. Solve 12 = -3*h - 4*n, j = 4*h - 4*n + 6*n + 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*j - 2*d - 12, 22 = 3*j - 4*d. Suppose -j*f = -26 - 14. Let p be (-9)\/(-1) + 1 + 0. Calculate the highest common divisor of p and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4630 or -4624?\nAnswer: -4624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 3:12 PM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 856 or 519?\nAnswer: 519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 6 = 23*o - 22*o, c + 3*o + 4 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 872927 to the nearest integer?\nAnswer: 934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 85*v**4 - 56 - 31*v**4 - 23*v**4 with respect to v.\nAnswer: 124*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 594 and 3240?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z + 1. Let d = -5449 - -5450. Let n(c) = -8*c + 3. Calculate d*n(a) + 5*v(a).\nAnswer: -3*a + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 8) to base 3\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millisecond in microseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - (2\/4)\/(-1). Suppose 5*n = 3*d - 37, 0*d - 2*n - 14 = -d. Let l = -123\/2 - -63. Which is the nearest to i? (a) l (b) -2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*o + 2*o. Suppose 2*b - 12 = -2*b. Suppose -2*m + 5*m - b = 0. Put m, -3, o in descending order.\nAnswer: m, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.44*0.15.\nAnswer: 1.566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 498*d. Let v(t) be the first derivative of -11*t**3\/3 - 3135. Give v(s(m)).\nAnswer: -2728044*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 5*l**2 - 2*l - 11. Let c(p) = -p. Let q be c(-6). What are the prime factors of g(q)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 0.026\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0043 - -0.1957. Let w = 41.21 - 41. Sort h, -1, w in decreasing order.\nAnswer: w, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*n - 26*n = 2358. Suppose 4*t - 1025 = n. Is 74 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5926382, -5926380, -5926378, -5926376, -5926374?\nAnswer: -5926372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -15*i + 233. Calculate v(25).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 + -441\/17. Suppose 0 = -3*c + 93 - 63. Suppose 2*t = -c + 12. Which is smaller: t or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(3\/(-12))*(-267)\/(-178)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 27*x + 3. Let t be 24\/(-2)*(12 - (-246)\/(-12) - -9). Let d(m) = -9*m - 1. Determine t*o(z) - 17*d(z).\nAnswer: -9*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - v**2 + 1. Let b(y) = 4*y**3 + 3*y**2 - y + 4. Determine b(j) - 2*x(j).\nAnswer: 2*j**3 + 5*j**2 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/18*(-14 + 1 + -2). Suppose 0 = -a*i + 12 + 18. Suppose -c + 510 = 3*h - 190, h - 240 = i*c. What are the prime factors of h?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zoukbokbvozu. Give prob of picking 1 z and 1 k.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 694967?\nAnswer: 7, 13, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/6 of a hour?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288)\/sqrt(108))\/(-2*sqrt(48)))**2 + (3*sqrt(216))\/(sqrt(1728)*2).\nAnswer: 1\/72 + 3*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*y**2 + 493*y**2 + 159*y**2.\nAnswer: 504*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.26 - -1976047.\nAnswer: 1976048.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5522554 divided by 2761277.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1906)\/(-410) - 4 - 244\/5002\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14728398*y**4 - 4*y**2 + 47*y - 1611.\nAnswer: 353481552*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -4*w - 12, 4*l + 0*w + 4*w + 20 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**17*m\/(m\/(m\/(m*m\/(m*m\/(m**(-34)*m))))))\/(m**(5\/2)\/(m\/(m*m\/(m**5*m)))))**46 assuming m is positive.\nAnswer: m**2461","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + x**2 - 2*x**3 - 12 - 2*x + 8 to l*x + c + m*x**3 + u*x**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -169075, -169707, -170339, -170971, -171603?\n\"Answer: -632*f - 168443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448)*-2)**2*-6 + 3 - (-2*sqrt(153)*2)\/(sqrt(72)\/((sqrt(32) + sqrt(8) - sqrt(8)) + sqrt(8))).\nAnswer: -58749 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - t = 4. Let r(k) = 2 - 2*k - t*k + 1 - 4. Give r(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -o - 1427*o**2 + 1605*o**2 - 2117*o**2 - 2220*o**2 as c*o + i + b*o**2 and give b.\nAnswer: -4159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1287203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of k**4\/6 - 3*k**3\/2 + 2*k**2. Let i be l(8). Solve 5*c + i = -4*t, -2*t + 2*c = -3*t - 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8 + 7\/(56\/(-32)). Solve 3*m = -2*b + 2, 0 = 4*b + 4*m - k - 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (4 + 0 - 1 - 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4*j - 2784 = -0*p, -6 = -2*j. List the prime factors of 1\/5 + p\/35.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/22320 and -157\/40068.\nAnswer: 24842160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k + 51. Let t be c(-11). Suppose -4355 = 5*l - t*l. Is 42 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 1\/2 (c) 9.24 (d) -4 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-20)\/(-25) + (-124)\/130.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3461.46269 rounded to the nearest 100?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 7*o - 5. Suppose 4 + 0 = -f. Let r = 14 - 9. Let q(y) = 8*y - 6. Determine f*q(l) + r*i(l).\nAnswer: 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 0 + 2\/1. Let l be q + -1 - 9\/(-3). Suppose -r + 28 = 2*h, -5*r = l*h - 22 - 34. Calculate the remainder when 23 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 489.8.\nAnswer: 97.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -391 - 166 + 557 + 20*d.\nAnswer: 20*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 7*a - 16. Give t(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -133082\/7 + 19012. Let o = -830.11 - -825. Let s = o + 0.11. Which is the third smallest value? (a) -1\/4 (b) s (c) g (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 79 = -47. Does 7 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-225))\/(1\/(-5))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*q + 40. Let f = 16 + q. Solve 0 = f*x - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*h - 33720 = -296*h - 766*h for h.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6848 and -344763.\nAnswer: -351611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 11*k + 10. Let z be p(4). Let h be 9\/(z\/(-4))*6 + 7. Is 1 + 966\/h + (-4)\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 - 2*h + 2*h)*(15*h + 0*h + 37*h).\nAnswer: -208*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 30. Suppose -g - 4*v = g - 6, -4*v - m = 0. What are the prime factors of g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 10:46 AM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 883695 to the nearest integer?\nAnswer: 940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70, -1\/3, -4, 12, 6\/5, 3\/4 in descending order.\nAnswer: 12, 6\/5, 3\/4, -1\/3, -4, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 41, -13, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -319*f + 66013. What is g(207)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3a + -73?\nAnswer: -ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1 - 4 - (-6)\/((-84)\/(-5194))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1291 divided by 3.\nAnswer: -1291\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 11\/12, -31, 15519 in ascending order.\nAnswer: -31, 11\/12, 15519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1188713 = 12506*x + 1795*x + 746*x for x.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**2 - 11*j + 11*j.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.45 * -1272499.\nAnswer: 12025115.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 72 (b) 5 (c) 16 (d) -33.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -765 - -760. Put j, 93, 3, 0 in ascending order.\nAnswer: j, 0, 3, 93","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*6651.\nAnswer: 2660.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/12)\/(7\/28). Let x = 16 - 21. Sort l, 1, x.\nAnswer: x, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1931\/633 - 81\/211. Let b(k) be the first derivative of -k**5 + m*k**3 - 3*k + k**2 + 11 - 1\/2*k**4. Factor b(t).\nAnswer: -(t - 1)*(t + 1)**2*(5*t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -134*u + 2721. Is l(-45) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_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 y be 1\/((873\/(-2))\/(-9)). Are 0 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -110222?\nAnswer: 111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -19. Let t = 3 - 2.5. Which is the closest to q? (a) t (b) 3\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r + 5. Let h = 773 - 769. Calculate n(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + c - 3. Let l be (-172)\/24 + c - -4. Does -1 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -32bb18 + -2?\nAnswer: -32bb1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2195042 smaller than 2195033?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -29. Suppose 3*h = -2*c + 276, 5*h - 3*h = -2*c + 272. Find the common denominator of (c\/(-80))\/((-4)\/i) and 47\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 4*r**2 + 3*r + 4. Let f = 2 - 2. Suppose -s + 3 = -f. Suppose s*y + 2*y = -20. What is z(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2074 divide 53585938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5352)\/(-4) - 0)*4 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/12289 or 1?\nAnswer: 3\/12289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + 148012.\nAnswer: 148012.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-3) + (10108\/(-12))\/(-7). Let m be (-3 + 6)\/(2\/16). What is the greatest common factor of m and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-3\/5))\/b)\/(b*(b\/b**(-8))\/b)*(((b*b\/(b*b**(-1\/4)*b*b))\/b)\/b)**(-11\/5) assuming b is positive.\nAnswer: b**(-47\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*b = 9 + 34, p = -3*b + 26. Suppose -238 = 21*s - p*s. Calculate the remainder when s is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2 + 13*t - 7. Let j be x(-7). Suppose 3*f - 64 + 34 = j. Solve 0 = 5*v - 3*v - f for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4905*q**3 - 2 + 7 - 3 + 1217*q**3 - 6*q.\nAnswer: -3688*q**3 - 6*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -5 - 3*m - m**2 - 3*m + 0*m**2 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**2 - 39*h**4 - 31*h**4 + 40*h**4 - 58 - 151 + 35 wrt h?\nAnswer: -720*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 10*m + 13. Suppose -147*c = -307*c + 153*c + 266. Calculate the remainder when u(6) is divided by c.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, -3, -38, -48?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3113, -6368, -9625, -12884?\nAnswer: -16145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -314.71 - -313. Let s = g - -1.75. Round s to 3 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 25 - 13)*(-3*d - d + 3*d) in the form r*d + j and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 2\/13, 1, -2, -2\/15, 1938?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/4)\/(27\/(-36)). Solve u*y = -5*m + 29, -11 = 2*y - 0*y - 3*m for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*g**4 + 507*g**3 + 453*g**2 - 507*g - 435 = 0. Calculate g.\nAnswer: -1, -5\/6, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 18 = 182. Let u = -134 - -139. Suppose 4*x = -u*j + 651 + 1, -j + 815 = 5*x. What is the remainder when x is divided by p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6762 divided by -1.\nAnswer: 6762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in -1\/15, 5, -4?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5077593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 15. Let j(c) = -c + 6. Give j(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/140*-2*12*2925\/(-155610)*-266.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44056 - 88111 + j + 44055.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (10 - (0 - (8 - -24)))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 124*i**2 - 6*i + 1 - 123*i**2 - 1. What is n(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5518 is divided by 138.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31455*k + 31453*k + 6 = 0, -3*i = 2*k + 81 for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - (15 + -21 + -25 + 7)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-3\/7)*i**3*i)**(-2\/101)*((i**(2\/5)\/i)\/i*i**(2\/7))**(-4) assuming i is positive.\nAnswer: i**(18264\/3535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22078 or -21979?\nAnswer: -22078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(48) + 0 + -1 + sqrt(75) + sqrt(75)) + -3*6*(1*sqrt(3))**2 + 2.\nAnswer: -51 - 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 532*d + 3232. Calculate the remainder when 1139 is divided by u(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -3*j + 108. Let l = j + 7. Let b = -20 - l. Calculate the lowest common multiple of 18 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/9? (a) 0.2 (b) 4 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 0.8 (c) 1\/3 (d) 0.128\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 33*a**2 - 367. What is o(25)?\nAnswer: -5367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 15082.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/18*4)\/((176\/6)\/11)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*v*v\/(v**26\/v))\/v)\/v**(1\/9))\/(v\/(v*v**19*v)*v**(-18)) assuming v is positive.\nAnswer: v**(143\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2121?\nAnswer: 3, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1075 is divided by 139?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 9. Let o = -108 - -49. Let w = o - -93. Calculate the remainder when w is divided by r(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 2. Let z be (-6)\/(72\/(-21))*(4 + 16). Let j = -31 + z. Which is the fourth biggest value? (a) -0.1 (b) j (c) k (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (4 - (1 - -4)). Suppose 4*w = -l - 5, 3*w + 4*l = 6*w + 18. What is the tens digit of p + -1 + w + 25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -263102*j - 578474?\nAnswer: -263102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4300 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 209804?\nAnswer: 41960.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/5 + 2197*f\/5 + 2198\/5.\nAnswer: -(f - 2198)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-72)\/(-3))\/(6 - 4). Suppose -a = 3*a - l. What is the third derivative of 9*d**3 + 5*d**a - 7*d**3 - 7*d**2 wrt d?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -14*o + 6. Let r be q(-5). Suppose 73 = -5*z + 133. Suppose z - r = -4*b. Calculate the smallest common multiple of 4 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*i*r*t**2 + 106*i*r - 3*i - 8*r*t with respect to t.\nAnswer: -20*i*r*t - 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 2167.\nAnswer: -2\/2167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2631582.\nAnswer: 2, 3, 48733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of g**4\/36 - 40*g**3\/9 + 800*g**2\/3 + 2*g - 28. Find f such that u(f) = 0.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 171*w + 696. Let x be g(167). Is x equal to 631\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 24 = 3*z, 4*p - z + 15 = -8 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v + 3*v - 10*v.\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**3*k**3 - 1021*g**3*k - 74*g**2*k**3 + 60*g*k**2 - 113*k**3 wrt k?\nAnswer: 12*g**3 - 444*g**2 - 678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23? (a) -1 (b) -23 (c) 3\/2 (d) -39 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 269.76147 to the nearest ten.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 34*s**2 + 59*s - 158. Suppose 7*z = -135 - 89. Let n be x(z). Solve 4*r + n + 18 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + -7. Let s be (-3)\/15 + (-22)\/b. Suppose -4*m + m + 27 = 3*v, 0 = -s*m + v + 6. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 38*1\/(-2). Let o = -21 - b. Suppose h - 24 = -o*h. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -394*b - 2784. Is a(-76) a multiple of 194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 13, -8, -37?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 44.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddqqqqq. Give prob of picking 1 q and 1 d.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10534351079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20921 - 20913. Solve -h*x + 408 = 416 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.024 + 0.024. Let f = i + 8. Which is the closest to 1? (a) -0.1 (b) 2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -q**6\/180 - q**5\/15 - q**4\/3 - q**3\/3 - 1. Let a(d) be the third derivative of y(d). Factor a(t).\nAnswer: -2*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -5. Suppose 4*o - 50 = 58. Suppose 0 = -3*i - 2*s - o + 182, s - 270 = -5*i. What is the highest common divisor of b and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26\/6 - (1 - -3)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 994 and 1846.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(171) + (sqrt(171) + -2)*4)*-3 + 3*sqrt(171)*3 + -3).\nAnswer: -18*sqrt(19) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14299997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9000*m - 9000*m + 6*m**2.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -34, -61, -86, -109, -130?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.53 + -0.816. Let a = 0.084 - w. Let t = 1.42 - a. What is t rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (98430*w - 5 + 5 - 108711*w + 0)*(-2*w + 0*w + 4*w)*(1 - 1 - 2*w).\nAnswer: 41124*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*a**2 + 26*a**2 - 74*a**2.\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 + 10. Calculate the least common multiple of 4 and i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/44 and -17\/7.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of y**4 + 38 - 38 + 10*y**2 wrt y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -12*o + 12. Calculate u(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 38 + -31 - (9 + -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.18751 + 100824\nAnswer: 100824.18751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5044, 20227, 45596, 81205, 127108?\nAnswer: 183359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 963964 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * -765.\nAnswer: 15.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4666733, -4666735, -4666737, -4666739?\n\"Answer: -2*l - 4666731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + 1\/(1\/4). Suppose 3*o - o = a + g, 5 = o. Suppose m = 3*h - 3, -2*h + a = 2*m - 24. Calculate the lowest common multiple of 7 and m.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 14*r - 10. Let g be o(12). Suppose -53 + g = 5*d. Suppose d = -5*f + 6*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3868*o**5 + 667*o**3 + 7238221*o**2.\nAnswer: 232080*o**2 + 4002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 456 and 18929301.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3643 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13664 is divided by 263.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 + 53?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 114 + -62. Let b be g\/39 - (-2)\/3. Suppose -b*t + 5*t - 2*q = 16, t = q + 7. Solve -4*r = -d + 3, -2*d - 3*r - t*r + 6 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.1 (b) 181\/5 (c) -148.5 (d) 7\/2 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*h - 121 = 527 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 242 divided by 23?\nAnswer: 242\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 44 + 12 = 0. Calculate the remainder when 61 is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*t + 54031 = 1574*t - 5473 - 8687 for t.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 - 39. Let y(s) = -s**2 - s. Let a(i) = -i**2 - 2*i + 1. Let w(d) = -5*a(d) + 6*y(d). Give w(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/829 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 2*s - 16. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(6\/(-204)) + 2. Let k(i) = -i**3 - 34*i**2 - 63*i + 29. Let c be k(z). Put 98, c, 4 in ascending order.\nAnswer: c, 4, 98","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.581*-2.\nAnswer: 11.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -5*x + 24. Let b(u) = 15*u - 71. Let w(o) = 3*b(o) + 8*y(o). Calculate the remainder when w(9) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -7 (c) -59 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 4. Suppose k - 10 = -5*z - 0*k, -20 = b*k. Let o = 5 - z. Solve f - o = 0, -7*y = -2*y - 2*f + 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93795252?\nAnswer: 2, 3, 7816271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 176460?\nAnswer: 352920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 81400276 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 681198180.\nAnswer: 2, 3, 5, 13, 873331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -361\/240 - -1\/240. What is the second smallest value in 0.5, -10\/7, r?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -38. Let i = n - 25. Suppose -2*q + 42 = 2*j, 0 = -3*q - q - i*j + 88. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of 1\/60*n**5 + 0*n + 5\/24*n**4 - 1\/3*n**3 + 0 - 166*n**2. Give x(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 (base 4) in base 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2583932 and 1887?\nAnswer: 7751796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 785.485 centuries?\nAnswer: 7854.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 6*t - 10*t - 2*t - t. Let u(h) be the second derivative of -41*h**4\/12 + 582*h + 1. Calculate u(p(i)).\nAnswer: -2009*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3 + 11*c - 3. Let z(a) be the third derivative of 0 + 0*a + 1\/24*a**4 - 69*a**2 + 0*a**3. Give m(z(y)).\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a - 12. Let d = 178 - 175. Give k(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.003 - 4.897. Let p = l + 4.89999955. Round p to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1672)\/275 - 6\/(-75). Let g(w) = w**3 + w**2 + 1. Let x(y) = 5*y**3 + 7*y**2 + 8. What is z*g(b) + x(b)?\nAnswer: -b**3 + b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139, 578, 1317, 2362, 3719, 5394, 7393?\nAnswer: 9722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6983 or 6984?\nAnswer: 6983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 19. What is the closest to -1 in r, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -266, -1055, -2376, -4235, -6638, -9591?\n\"Answer: -d**3 - 260*d**2 - 2*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 743009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1702*h - 1709*h = -3410*h + 11 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (1 - 2924\/(-36)). Let b = -80 - o. Let y = 1611\/11 - 146. Which is smaller: y or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 1\/6, -0.2, 103, 2, -3\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6752 - -6787. Calculate the least common multiple of d and 570.\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 435 and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/25*(-1085)\/(-62)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 20851 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -143641512*s + 187840761?\nAnswer: -143641512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 49, -6, 12, 4, 1\/9?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 101*r + 766. Let f be i(7). Solve 0 = -q - 4, -13*k + f*k = -5*q - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8956.1 - -8956. Which is the fourth biggest value? (a) n (b) -2 (c) 5 (d) 7 (e) -3.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 13) to base 14.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*((s*s**1)\/s*s*s)\/s*s))**16*s\/s**(-1)*s*s**0*(s\/((s**(1\/2)\/s)\/s)*s*s**3)**(-29) assuming s is positive.\nAnswer: s**(-467\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppxppxpppppp. What is prob of picking 2 p and 1 x?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 3*m - 3. Let a = -1 + -1. Let g be f(a). Let s be (-1)\/5 - g\/5. Solve 3*o + 3 = 2*v, -v - 2*v - 5*o - 24 = s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 24 - 170000?\nAnswer: -16bb98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of t**6\/1620 + t**5\/540 + t**3 + 2. Let j(x) be the third derivative of o(x). Solve j(y) = 0 for y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150668000 rounded to the nearest one million?\nAnswer: 151000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0020812 rounded to four decimal places?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -207 + 790. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 14*j**2 - 43*j - 9. Determine t(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (-1 + 2 + 2). Let s = -11 - -10.9. What is the nearest to s in -1, 0.4, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 a when two letters picked without replacement from {h: 4, a: 6}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 29663120 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -44, 2.7, -1\/6?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 34\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 >= 73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a19 (base 16) in base 9?\nAnswer: 41228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + 0.15. Let g = -0.13656 - d. What is g rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yuwb when four letters picked without replacement from wbruy?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4*q + 9 + 7 = 0, -2*q = 4*j - 8. Suppose j = 5*f - 5*s + 20, -4 - 11 = 5*f - 4*s. Is f*(2 - 526\/(-2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -77, -191, -359, -587, -881, -1247?\nAnswer: -1691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -43359, -86715, -130071, -173427?\n\"Answer: -43356*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3699*u**4 - 54320*u**2 + 535039*u - 22 wrt u?\nAnswer: 44388*u**2 - 108640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -4*j - 2*p, -4*p - 44 = 2*j - 0*p. Let a = j - 0. Let d = a + 4. Are d and -12 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1189 - -1192. What is the lowest common multiple of x and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**3*o*s - 64*c**3 - c**2*o*s - c*o*s + 47*c*s + 4*o wrt c?\nAnswer: 6*c*o*s - 384*c - 2*o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3707385*t**4 + 27*t**3 + 56*t**2 + 714349*t + 3.\nAnswer: 88977240*t + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11.6 - 6.5. Let l = 20.8 - 23.9. Let v = l + h. What is the closest to -8 in -2\/11, 0.1, v?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 1 + 13 - 7*c**2 - 9.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13334694 is divided by 1333469.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/9)*b**(-1\/10)*b)\/((b\/(b*b**(-4\/3))*b*b)\/(b**1\/b))*(b\/b**2)\/b**2*b*b**0*b\/b**(-2\/5) assuming b is positive.\nAnswer: b**(-253\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 163240 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -1921*b**4\/4 + 10*b**3\/3 - 5*b**2\/2 - 1381. What is the third derivative of k(u) wrt u?\nAnswer: -11526","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/21130325 and -64\/45.\nAnswer: 190172925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4*j - 8 = -20, -5*t = -2*j + 20. Let k(c) = 5*c. Let q(y) = y. Let w(n) = k(n) - 4*q(n). Let a(v) = 4*v - 1. Give t*a(f) + 11*w(f).\nAnswer: 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-10) - 9\/(-15). Let a be r\/3 + 23\/3. Let j = a + -1. Solve 5*k = 2*i + i - j, 5*k - 9 = -i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 12*l + 82. Suppose 459 = 32*p + 43. Calculate the least common multiple of v(p) and 6.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -387\/8 + 6563\/136. What is the third smallest value in -2\/15, 8, 12, o, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 65824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i**3 - 3*i**2 - i + 3. Let p(u) = -u - 9. Let k be p(-6). Does 20 divide w(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 + 20*j - 30. Let w be m(-9). Let r = 25 + -26.9. Let p = 2.2 + r. Which is the nearest to w? (a) p (b) -3\/5 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30254890*i**2*m**3 + 63855020*m**3 wrt i.\nAnswer: 60509780*i*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/5*17\/(-1). Let x = w - -20. Let y = -0.8 + 1. Put y, x, -3\/4 in decreasing order.\nAnswer: x, y, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33756 and 2328.\nAnswer: 67512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -90 - -104. Let z = x - 2. Solve g = -2*b - 4, 3*b - 2*g + 8 + z = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 divided by 18012.\nAnswer: 17\/6004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*b**2 + 2*b**2 + 2*b**2)*(2*b - 4 + 4)*(1 + 0 + 0) as t*b**2 + c + a*b + j*b**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3348*w - 651. Let b(d) = -31*d + 6. Suppose -2*n + 10 - 12 = 3*r, -3*n + 4*r = -14. Let a(t) = n*l(t) + 217*b(t). Let c(y) = 3*y. Calculate c(a(s)).\nAnswer: -93*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 314479555 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123707 is divided by 183?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*v - 1. Suppose 5*q - 249 = -3*j, -j - 261 = -4*j - q. Let z = -703\/8 + j. Is z less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 142*k - 37 + 37 + k - k - 2*k - k + 1 - 1 + (-2 + 5 - 1)*(-2*k - 2*k + 2*k) + 4 - 4 - 2*k.\nAnswer: 133*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 708.1933 nanograms to tonnes.\nAnswer: 0.0000000000007081933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88327?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -2\/3, -4, 0.054?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2. Let m(n) = -43*n - 3. Calculate m(v(s)).\nAnswer: 86*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -457\/7 - -65. Let u = 2460 - 2462. What is the second smallest value in -2\/17, -1\/3, u, x?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**4\/8 + 2*g**3\/3 - 2*g**2. Let y be a(5). Let u(c) = -16*c - 189. Let v be u(-11). Which is bigger: y or v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 499675358 is divided by 35?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -1. Let u = -0.47 + 0.87. Let k = -382 - -6496\/17. What is the closest to q in k, 0.2, u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 12 (b) -3 (c) 0 (d) -0.054 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*m + 96 = 0. Let y = 3 + 9. Let x = y + -6. What is the greatest common factor of x and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 1. Let z(m) = -295*m + 17. Let f(n) = 4*t(n) + z(n). Is f(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 460?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 5 + 21, 2*z + 3*i = -308. Let n be ((-144)\/z)\/((-39)\/(-5))*-4. Let a = 221\/4 + -55. What is the closest to n in 1, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4 + 153*z**3 + 2361*z**2 + 12375*z + 10164.\nAnswer: 3*(z + 1)*(z + 11)**2*(z + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 - -31. Suppose 5*f = 4*q - 16, q + f = -g*f + 4. Solve -3*j = -q*j + 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15340141 (base 6) in base 14?\nAnswer: 101633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/5 - (-360)\/25. Let y(n) = 4*n - 10. Let z be y(o). Let f = z + -21. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 331352 to the nearest integer?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 8 + 0 = 4*y, -2*y - 2*w + 4 = 0. Find the first derivative of y + h**4 - 16*h**4 + 16 wrt h.\nAnswer: -60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 5:59 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 2846672 to the nearest 1000.\nAnswer: 2847000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10961931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58 + 64. Which is the biggest value? (a) 4 (b) r (c) -5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 269, 3, 2 in descending order.\nAnswer: 269, 3, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2*p + 2490, -3759 = -3*h - 36*p + 41*p. Which is greater: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136726861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-7)\/(21\/(-3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 385512, 771026, 1156542, 1542060?\nAnswer: 1927580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.962505ml to litres.\nAnswer: 0.009962505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17130073.3 take away -22?\nAnswer: -17130051.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 414738?\nAnswer: 2, 3, 23041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (-44 + (-20 - -46)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 3 + 904\/(-152) - -1.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43483 is divided by 13099.\nAnswer: 4186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1380 is divided by 35.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73 (base 12) to base 4.\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*q + 9*q. Suppose -2*g + q*j + 24 = 0, -3*g - 2*j = 2*g - 60. Calculate the highest common factor of 24 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -1467*x**2 - 8*x + 732. Let d(q) = 1457*q**2 + 6*q - 732. Let i(m) = -4*d(m) - 3*z(m). Differentiate i(l) with respect to l.\nAnswer: -2854*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 17 + 18 + 12 - 249*x - 1. Is n(-2) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**3*w**2 + 12*o**3*w + o**2*w + 14*o*w**2 - 11*o*w + w**3 wrt w?\nAnswer: 4*o**3 + 28*o + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14991 + 14991.0012246. What is d rounded to five decimal places?\nAnswer: 0.00122","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.8, -3.1, 1\/51, -1\/8?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 828740247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 98652681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*m - m**3 + 63*m - 139*m.\nAnswer: -m**3 + 20*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4*(2 + sqrt(13) + 2 - sqrt(13)) + -4*sqrt(143)\/(sqrt(11) + 1*sqrt(11))))**2*4.\nAnswer: -2304*sqrt(13) + 11088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -8 - 8*f + 1 + 1 - 1. Let h(v) = -7*v - 6. Let j(q) = 7*h(q) - 6*k(q). Let t(r) = -r. What is j(t(n))?\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -457 - -134?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7178?\nAnswer: 2, 37, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 219, 510, 919, 1446, 2091, 2854?\nAnswer: 3735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20239 is divided by 241?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2983*y = 3033*y - 5*q + 10, 10*y + 2*q - 4 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -3*a, 3*a - 5*q = 4*a + 24 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/3, 0, 4, -2, -1347527, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -23477, -95302, -215009, -382598?\n\"Answer: -23941*v**2 - 2*v + 466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*d + 7. Suppose o + 1 = d. Suppose 0 = -2*u - o*s + 36, 4*u - 3*s - 76 = -7*s. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 448 and 16.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mxmx. Give prob of sequence xmx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 8 - 112. Let a be 108\/i*(-10)\/3. Let y(m) = 7*m**2 + 19*m - 13. Is y(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 918\/170*(1 - (-8)\/12). Let s be (-278)\/((-1)\/1) - -1. What is the highest common factor of n and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uutttuuuuuutuuut. What is prob of picking 4 t?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 851954399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + 3 + -9 + 20. Let p = 25 - f. Let g(s) = s + 15. Is g(p) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1655281931\/1120 - -1477937. Let a = s - 1\/224. What is the common denominator of 21\/(-4)*(3 + 1) and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -8*i - 13. Let m(u) = -7*u - 11. Let g(n) = 5*a(n) - 6*m(n). Give g(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 18*l**2 + 14*l**2 + 4 - 44*l**2 + 19*l**2 - 7.\nAnswer: 7*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200121 + 12?\nAnswer: 200210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2. Let h(g) be the first derivative of -19*g**2\/2 - 1. Determine t(h(q)).\nAnswer: 722*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/2364 and 101\/788.\nAnswer: 2364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1344 a factor of 1423177333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 10*y + 34. Determine b(8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40729?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2009 = -76*q + 489 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 - -49. Suppose -b = 4*c - 7*c, 3*c + 122 = 5*n. What is the remainder when 71 is divided by n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -167*c - 2361. What is the remainder when m(-16) is divided by 139?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 3a2587?\nAnswer: -3a2585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, 0.2, 2\/13, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d**2 + 3*d + 3*d**2 - 3*d.\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**2 + 2*b**2 + b**2)*(2 - 1 + 1) - 8*b + 8*b + 3*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 712 a factor of 6776104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6789020727 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 658, 1293, 1918, 2527, 3114, 3673, 4198?\nAnswer: 4683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**2 - 16*t - 98. Determine i(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -171478*h**4 + 202945*h.\nAnswer: -2057736*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11100 (base 3) to base 7\nAnswer: -225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15632\/7 + -2234. Which is the nearest to 1? (a) -5 (b) 4 (c) l (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 62*m = 56, -3*b + m + 55 = 60 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3372)\/(-17703))\/(4\/462)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -16*(-3 - (-45)\/18). Solve 1 = d*o - 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wvvw when four letters picked without replacement from ggblwwgwvgbvwbbbwgvb?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4095782 is divided by 15753.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 5*i - 3. Determine y(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by (1*9)\/(-6 - -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1141 (b) 4.7 (c) -282 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 1970*i**2 + 36*i - 182. Let u be l(7). What is u rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, w: 4, m: 1}. What is prob of sequence ms?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -464*d**2*w**3 - 534*d**2 wrt w?\nAnswer: -1392*d**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1669140 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 9\/34 and 18688 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 101 + 11. What are the prime factors of (-194)\/(-4) - n\/20?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 1 = -4. Let a be 1 + 24 - (5 - 4). Suppose b = -n + 6, -4*b - 2*n = b - a. What is the third biggest value in 1\/4, b, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 20\/(-102)*99\/(-5)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17119*c + 50667 wrt c.\nAnswer: -17119","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -7, 3 in descending order.\nAnswer: 3, -1\/3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 5435265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13228 is divided by 119.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8541.\nAnswer: 3, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 605\/35 - (1751\/(-119) - -15). Solve 73 - o = -8*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1303 + 31300?\nAnswer: 23331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.01087736 rounded to 2 decimal places?\nAnswer: 12.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 101465 + 101443 = -x, -50 = x - 6*b for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.6 + -0.4. Let x = 453 - 454. Let c be (2 - (-1 - -1))\/((-48)\/40). What is the fourth biggest value in c, n, x, 0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -1479297239?\nAnswer: -1479297239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3 + (sqrt(363) + -2)*6 + (-1 + -2*sqrt(363))*1)*-3.\nAnswer: -132*sqrt(3) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7539 and 253658271?\nAnswer: 1077","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 + 63 - 5*c - 2*c.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 944.7567 kilograms to nanograms.\nAnswer: 944756700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a kilogram in grams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 39 - 11 = -3*t, t + 21 = 4*w. Let l be (-4)\/(-22) - (-6)\/(-33). Suppose l = -15*p + 20*p - 10. Sort p, t, -3.\nAnswer: -3, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2 + 2 = 0. Let q be b\/3 + (-68)\/(-51). Let y be (-40)\/60*(-21)\/q. Solve 8*g - 2*w = 3*g + 23, 5*g = -2*w + y for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -240*a**2 - 20*a wrt a.\nAnswer: -480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -19*b + 1165. Let h(l) = -13*l + 803. Let n(v) = 16*h(v) - 11*t(v). Let x(a) = 3*a**2 + 2*a**2 - 3*a**2. Calculate n(x(q)).\nAnswer: 2*q**2 + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 567904 to the power of 1\/2, to the nearest integer?\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0. Let x = -15.8 + 16. Let r = k - x. Sort 2\/9, r, -5 in decreasing order.\nAnswer: 2\/9, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*f = -29*f + 10. Suppose 5*n = -2*x + 15, 21*n - f = 16*n. Solve 8 = 5*s - 2*h - 18, 0 = -x*s + h + 23 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 + 9\/(-9) - -7472. Suppose 0 = -11*o + l - 1207. Calculate the highest common divisor of 171 and o.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) 266 (c) -2\/1167\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and -0.029617?\nAnswer: 1.029617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**5 - 68*w**4 + 925*w**3 + 8214*w**2.\nAnswer: w**2*(w - 37)**2*(w + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (207\/1035)\/(3\/(-345))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65*u**2 - 1 + 29*u**2 + 36*u**2 + 165*u**3 + u to l + m*u + v*u**2 + y*u**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17268, -34543, -51820, -69099, -86380, -103663, -120948?\n\"Answer: -i**2 - 17272*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 1463.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*6*(-1)\/(-6)*39. Suppose 0 = -0*u + 2*u - 4*n + 70, 5*u + 181 = 4*n. Let r = d + u. Solve 0 = r*f + 2*f + 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 70*l - 753. Let y be q(53). Is y <= 156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**3 + 11*k**2 - 9*k. Let l(y) = 10*y**3 - 54*y**2 + 44*y. Let v(n) = 3*l(n) + 16*x(n). Find s, given that v(s) = 0.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -15.1. What is the closest to r in 3, -1\/4, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 - (23 + -7) - 44.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46717057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-4))\/(10\/(-20))*44\/154?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 r when three letters picked without replacement from {r: 2, y: 1, j: 4, g: 4}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 86304 and 960.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*o - 219 + 24 = -13*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5587770 and 360?\nAnswer: 67053240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 87841.97 tonnes?\nAnswer: 87841970000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**6\/120 - t**4\/24 + t**3\/2 + 3*t. Let l(r) be the second derivative of h(r). Let q be l(1). Solve -q*i + 1 = 5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -36266?\nAnswer: -36266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 50*g. Let u be s(3). Suppose u = 5*j - 0*j. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + k - 175 = -s + 113, -258*s + 596 = -261*s - 8*k for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*j*v + 660460*j + 1188193*v wrt j?\nAnswer: 2*v + 660460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10539 + -10538.99979856. What is i rounded to 5 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 3*x**2 + 7*x - 2. Suppose -r = r + 2, -r + 34 = -5*z. Let j be n(z). What is the greatest common factor of j and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 66 - 38. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 8. Let l be o\/6 + 28\/6. Solve -2 - l = -2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 245 = 6*u. Let j be 2\/7*u\/63. Put j, 2\/5, -2 in decreasing order.\nAnswer: 2\/5, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_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 7042.076mm in nanometers?\nAnswer: 7042076000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a7f5 - c6?\nAnswer: -a8bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -8. Let x be (-8)\/(-36) - (-43)\/w. Let v(h) = 899999*h + 5. Let k be v(x). Round k to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 38*j**2. Let m be 39\/(-26)*(-4)\/2. Suppose -k + 0*i - 2 = -4*i, 4*k - m*i = 5. Let s(c) = -6*c**k - 11*c**2 + 30*c**2 - 11*c**2. Determine z(s(q)).\nAnswer: 152*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -15, 3*f - 13 = 3*t + f. Suppose 6*b - b - 5 = 0. Put b, 0, t in increasing order.\nAnswer: t, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n = -480 + 309 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*g**2 - 2*g**2 - 2*g**2)*(0 - 3 + 1) - 1 - 7359*g**2 + 7363*g**2 - 10 to the form p*g + h + w*g**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 713771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 7*v - 8. Let k(d) = -d. Suppose 3*i - 4 = -i. Let a be k(i). Let t(j) = 10*j - 1. Let p be t(a). Let g(r) = 13*r - 15. What is p*y(q) + 6*g(q)?\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -8) + 2 + (37 - -14) + 7 - 8\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p + 10. Let f(y) = -4*y**3 + 6*y**2 - y - 5. Let w(z) = 3*z**3 - 5*z**2 + z + 5. Let j(t) = -2*f(t) - 3*w(t). Let n be j(3). Determine a(n).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/4)\/(-3*(-2)\/(-104))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 234\/(-27)*654\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006885809539 rounded to six dps?\nAnswer: -0.006886","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 440044255?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61 - -66. Suppose -5*m + j + 56 = 0, -4*j + 68 = w*m - 2*j. Solve -3*b + 0 = m for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -102, -105, -116, -141, -186, -257, -360, -501?\n\"Answer: -c**3 + 2*c**2 - 2*c - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27861?\nAnswer: 3, 37, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 82087116 by 173.\nAnswer: 474492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 12:21 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10885 or -15477?\nAnswer: -10885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -322010 (base 7) to base 11.\nAnswer: -39013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of l**3\/3 - 3*l**2\/2 - 6*l - 438. What is u(7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from frfrfrfrfrrfrf. What is prob of sequence frr?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -71729 + 1656?\nAnswer: -70073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.225 + -0.075. Let h = o + 0.3. Let a = -3.1 - -3. What is the nearest to a in h, 2\/11, 5\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 10*d - 12. Let c(t) = 33*t**2. What is c(l(j))?\nAnswer: 3300*j**2 - 7920*j + 4752","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + y - 2. Let a be h(2). Let c be 1\/1 + a\/(-8). Let l be (-5)\/3 + 0 + 2. What is the second biggest value in c, l, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7561054 meters in millimeters?\nAnswer: 756.1054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15 - 14 - 3*1. Let x be (1\/g)\/((-8)\/448). What is the greatest common divisor of x and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2286 by 3.\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -35\/6*z**6 + 0 - 145\/12*z**4 - z - 2*z**2 + 20\/3*z**3 + 47\/4*z**5 + 7\/6*z**7. Suppose b(n) = 0. Calculate n.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4888, 4886, 4880, 4870?\n\"Answer: -2*k**2 + 4*k + 4886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwww when four letters picked without replacement from {h: 3, w: 12}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2168679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 6:03 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 153.034 and -0.5?\nAnswer: -76.517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 6*w - 4. Let s(q) = 6*q - 9*q + 2*q + 1. What is -2*i(y) - 10*s(y)?\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13462 by -6731.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -1011211?\nAnswer: 1011202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34339?\nAnswer: 23, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -274, -281, -290, -301, -314?\nAnswer: -329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*d**2 - d**4 + 7*d**2 - 20*d + 7*d**3 + 6*d**2 - 9*d**3 - 2*d to the form s*d**3 + y*d + p*d**2 + a + h*d**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248905072?\nAnswer: 2, 13, 509, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -635899*n**2 + 635897*n**2 - 24056 + 2165.\nAnswer: -2*n**2 - 21891","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z + 0*z + 2*z**2 + z**2 + 5*z**2 - 4*z**2 + (1 - 5 + 2)*(-3*z**2 + 3*z**2 + 3*z**2).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and -24062513.058.\nAnswer: -24062511.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -18 * -112489\nAnswer: 2024802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -o**6\/45 + 2*o**5\/15 - 2*o**4\/9 - 276*o. Factor k(l).\nAnswer: -2*l**2*(l - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -81, -112?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5788271 divided by 7?\nAnswer: -5788271\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 15*m. Let s(t) = 344*t. Calculate -6*s(r) + 136*u(r).\nAnswer: -24*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*c + 95*c + 2*c**3 - 48*c**2 - 50*c - 44 - 2*c = 0.\nAnswer: 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4924 - -901094\/183. Let h = -173 + 174. Which is smaller: h or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 181.97459293 - 40.\nAnswer: 141.97459293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 7*x = 12*x + 20, a + 3*x = -12. Suppose 3*p = -3*j + 3465, 3*p + a*p + 4655 = 4*j. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 19. Let t(m) be the second derivative of 0 + 1\/6*m**q + 0*m**2 + 2*m. Let s(r) = 2*r**2. Give t(s(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12687 divided by -16241.\nAnswer: 12687\/16241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 14*v**2 - 12*v - 8. Let h be o(-13). Let s = h + 23. Solve 0 = -s*g - x + 2, -4*g - 4*x + 11 = g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j*j*j*j**(-6\/13)*j**(-13)*((j**(-8)*j)\/j)\/(j*j**8*j*j))**(-1\/8) assuming j is positive.\nAnswer: j**(357\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36688105?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of 8*q**5\/15 + q**4\/12 + 127*q**3\/6 - 126*q**2. Is o(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -11 (b) -3 (c) 4\/7 (d) 183\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.5 (b) -57 (c) 3 (d) 5 (e) 16.99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/4)*u)**(24\/11)*(u*u*u\/(u**(2\/99)\/u)*u)\/u**(-35) assuming u is positive.\nAnswer: u**(4120\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11484*o**3 + 13*o + 267?\nAnswer: 68904*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 71087 to the power of 1\/2, to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-10))**(-31))**(6\/13) assuming x is positive.\nAnswer: x**(1860\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 5*r + 563 + 57, -y + 104 = 4*r. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -23, 10, -5, -3, 75, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 316527549 to the nearest integer?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 1:16 PM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -12*a - 9. Let o be l(-6). Suppose 31*t = 129*t - 2450. Let c = o - t. List the prime factors of c.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + 3 + 14\/2. Let i(s) = -s**2 + 7*s - 6. Let k be i(z). Solve 2*g = -p + 8, -g + 5*p + k = -11 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of r**3\/3 - 5*r**2\/2 - 2*r + 1. Let i be m(5). Is i\/(-2) - 2 - -78 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -161553566, -161553565, -161553564, -161553563, -161553562?\nAnswer: -161553561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.394319 + -226.457319. Let d = 226 + x. Which is greater: d or -2\/11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.15 + -4.85. Which is the third smallest value? (a) -11 (b) i (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 153 - 111?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 25 (b) 2\/5 (c) 3 (d) -0.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = r - 16. Suppose -r*i - 3 = -i. Let n(k) = -3*k**2 - k. Give n(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 8:01 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*j + 47. Let b(t) = 4*t**2 + 4. Let r be b(j). Suppose -5*s - 60 + r = 0. Is 17 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3352269, 3351928, 3351587?\n\"Answer: -341*p + 3352610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/2)\/(2\/24). Let f(h) = -h**2 + 5*h + 7. Let j be f(l). Let s(o) = 5*o - 1. Let t be s(j). Let n(z) = -z**2 + 2*z + 5. Determine n(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 1. Let w(r) = r**4 + 6*r**3 + 7*r**2 - 2. Let h(q) = 6*a(q) + 3*w(q). What is z in h(z) = 0?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-35))\/((-6)\/(-60))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53.3035922 + 53.2044. Let s = p + 0.0995. What is s rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -1010011111001001?\nAnswer: 1010011111000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.92 + 0.08. Let v = 483 - 482. Which is the closest to -6? (a) r (b) 2\/5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of m**5\/60 + m**4\/24 + 211*m**3\/6 - 10*m**2. Is x(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1134)*-3)\/(sqrt(288) + sqrt(288) + (sqrt(288)*-4 - sqrt(288)) - sqrt(288)).\nAnswer: 9*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -132301420 (base 5) to base 3\nAnswer: -1020211101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.04 - -0.04. Let c = 11 - 14. Sort c, y, 1 in decreasing order.\nAnswer: 1, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -128, -133, -150, -185, -244, -333, -458, -625?\n\"Answer: -y**3 + 2*y - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 1:17 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7735 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8925 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2 = 4. Let w(h) = -6*h**2 - h. Let u be w(v). Let t = u - -17. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**5\/11 - 324*b**4\/11 + 17730*b**3\/11 - 361144*b**2\/11 + 156576*b - 215424 = 0. What is b?\nAnswer: 3, 44, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -696.404 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*a**5 + 29*a - 29*a + (1 - 1 - 2*a)*(0*a + 2*a**4 + 0*a) + 4*a**5 - 2*a**5 - a**5.\nAnswer: -19*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from dtttttttttdt.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175109 is divided by 13460.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 7:16 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -919 take away 358?\nAnswer: -1277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 957*g**2*y + 109058*g**2 - g*y**2 + 30*g*y with respect to y.\nAnswer: 957*g**2 - 2*g*y + 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.08 - -0.08. Let z = -1 - -0.6. Let f = -0.1 + z. Which is the nearest to -1\/2? (a) -0.3 (b) w (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 + (-15903)\/(-304) - 22)*(-24)\/(-100).\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.2 - -9.2. What is the fourth biggest value in -3\/4, h, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -42467\/2850 and -14 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5236*h + 5329. Give d(1).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 5*w + 3*w - 2, -2*w + 6 = i. Let h(f) = 11*f**2 - 8*f + 1. Does 21 divide h(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18607114213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - (-68)\/(-8) - -5)*-5668. Suppose -12*q + 9994 = -v. What is the hundreds digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81 and 333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 28\/((-4)\/(-1)) + 3. Calculate the common denominator of (-298)\/(-294) + (-4)\/6 and -5*s\/(-150) - (-56)\/18.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zh when two letters picked without replacement from azzahaiziz.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/330 and -56\/1815.\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g**3 + 5*g**2 - 5*g - 5. Let z(h) = h**4 - h**3 + h + 1. Let x(f) = -j(f) - 5*z(f). Find the third derivative of x(w) wrt w.\nAnswer: -120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-333)\/(-555) + (0 - ((-67)\/5 + 1)). Solve h*p + 12 = 25*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4299 = -2*p + 20987 - 3182. What is the hundreds digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t + 2. Let b(d) = -21*d + 11. Let k(y) = 6*b(y) - 33*i(y). Let g(u) = -42*u + 8. Let l(n) = -14*n + 3. Let o(s) = 3*g(s) - 8*l(s). Give k(o(f)).\nAnswer: -84*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**2\/3 + 103*a - 308\/3 = 0.\nAnswer: 1, 308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 320332012 (base 4) in base 8?\nAnswer: 707606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r. Let o(w) be the second derivative of -w**4\/12 + 7*w. Determine o(f(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -3, -19732 in increasing order.\nAnswer: -19732, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eighty-two fifths of a meter?\nAnswer: 1640","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 230*y**2 - 150791*y + 2601. Calculate u(-290).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - h = 8, h = -3*f - 3 - 1. Let z(b) = 58*b**3 + 3*b - 3. Let i(y) = -59*y**3 - 4*y + 4. What is f*z(o) - 3*i(o)?\nAnswer: -55*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3209 - 3209. Let h(f) be the second derivative of -8*f + a + f**3 + 15\/2*f**2. Differentiate h(k) wrt k.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 685584230, 685584229, 685584228, 685584227, 685584226?\n\"Answer: -g + 685584231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 6. Suppose 1 = 5*t - b*m, 0*m - 4*m = -2*t - 8. What is the second derivative of t*q - q**5 + 0*q**5 + 0*q**5 wrt q?\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5809134.045 to the nearest one hundred thousand.\nAnswer: 5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 57*y - 47*y + 50 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17671 or -17522?\nAnswer: -17671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*d**4 + (-d**4 + 3*d - 3*d)*(-8 + 23 + 20) - 91*d**4 - 9*d**3 + 9*d**3.\nAnswer: -128*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - 1 + 1)*(5 + 1 + 1)*(0 + 0 + l**3).\nAnswer: 7*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u - 3*u + u + (0*u + 3*u - 8*u)*(9 - 21 + 16) as l + q*u and give q.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 1 - 28 = 0. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, e: 2}. What is prob of sequence eh?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/8 + 3\/(-12). Suppose m*k + 4*k - 4 = 0. Let t(v) = -2*v + 1 - k. Let o(x) = -2*x**2. Calculate o(t(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2427 + -2424. Solve 4*f - 22 = 2*c, 3 = -n*f - 5*c - 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 102*(1\/20)\/(57\/1330).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7071, -9126, -11169, -13194, -15195, -17166, -19101, -20994?\nAnswer: -22839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 13. Let n be 51 - ((-3)\/(-3) + 2). Calculate the highest common divisor of n and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 u when two letters picked without replacement from {e: 3, u: 4, g: 1}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(1\/5)*h)*h)**(-38)\/(h\/(h\/(h\/(h\/(h**(5\/4)\/h))))*h**19) assuming h is positive.\nAnswer: h**(-993\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 8*t**2 + t - 1. Let s = 31 + -30. Let j be m(s). Solve 0 = 2*z + 2*z + j for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*u + 8 = 0, 4*h = 2*u. Suppose 0 = -h*y + 1 + 7. Let k = 23379\/40 - 2923\/5. Which is the second smallest value? (a) 0 (b) y (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 8:10 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -6.5 (b) -0.13 (c) 0.1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28608 and 64449354.\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 4*t - 5. Let l be q(5). Let o = 538 - 533.23. Let r = o - -0.23. What is the nearest to -2 in r, l, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 811137581?\nAnswer: 881, 920701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -1, 303, 11, 0, -1\/8, 2\/39?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 13*j + 1. Let u(s) = 28*s**2. What is y(u(v))?\nAnswer: 364*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 153533*5\nAnswer: 767665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 437 and 165224?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o + 27. Let z be d(-11). Suppose -7*g + 9 = -z. Let c = g + 72. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.33119 rounded to two decimal places?\nAnswer: 7.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*l = -2*i + 11, 2*i + 5*l = -19. What is y in 2 + 3*y - i*y + y + 2*y**2 - 5*y = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -157*j + 5 + j**2 - 2 + 162*j. Let w = -21 - -13. Calculate the remainder when l(w) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1800*c**3*v**2 - 9*c**2*v**2 + 23*c**2*v wrt c?\nAnswer: 10800*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3513 + 68336?\nAnswer: 71849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from wvdqvppwvvvpgpdqp?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 143244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34122 (base 5) to base 7.\nAnswer: -10014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -122\/3 less than -42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -16, -4, 3, 2\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -236072677, -236072683, -236072689, -236072695, -236072701, -236072707?\n\"Answer: -6*s - 236072671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**3 + 17*q**2 + 20*q + 1. What is the least common multiple of d(-7) and 54?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20\/3 in 2\/9, -5, -3, -20?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -7, -18, 0, -333?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (6 + -9 - -13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 + -818\nAnswer: -817.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9\/16 - -115\/176. Calculate the common denominator of -83\/8 and p.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + 10 - -4) + (-23 - (8 + -7)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -93? (a) 1\/5 (b) 2 (c) -0.2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6800*(-34)\/5984 + -41?\nAnswer: -26\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -191 - 3*s**2 + 3533*s**3 + 2976*s**3 + 59 - 5917*s**3 - s wrt s.\nAnswer: 3552*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in two sevenths of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3141 divided by 292\nAnswer: 3141\/292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(117) - (sqrt(117) - 4*-1*sqrt(117))))\/(sqrt(36)\/(2*sqrt(4) - sqrt(4)) - (sqrt(9) - (sqrt(108)\/sqrt(4))\/sqrt(3))).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -12*j - 7. Let g(f) = -1. What is -4*g(c) + z(c)?\nAnswer: -12*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24\/19*z**2 - 64\/19*z + 8\/19*z**3 + 128\/19 + 2\/19*z**4.\nAnswer: 2*(z - 2)**2*(z + 4)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 3*f - 1 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 4*h - 5644, 9*x = 4*x - 2*h - 7048. What is x rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -216460191 divided by -254959?\nAnswer: 849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 4:02 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/5)\/(n*n**1))\/n**(-2\/3))\/(n**3\/(n\/(n\/(n\/(n*n*n\/n**(-1\/4))*n)))*n**36) assuming n is positive.\nAnswer: n**(-2519\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 1792 = -4*c - 960, -4*c + 20 = 0. Calculate the lowest common multiple of a and 756.\nAnswer: 8316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*x = 1720 + 735 - 335 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/697 (b) 1.1 (c) -445\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*r + 27*r + 1333 + 956 + 26*r to x*r + v and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*a**3 + 8*a - 8*a + 0*a.\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, b: 10, t: 7, s: 1}. Give prob of sequence tw.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -1\/2 (c) -1 (d) 3\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 50*y**2 - 7*y - 322. Let k be v(-50). Solve 40 = -k*p - 16 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 4*z + 27 - 15, 0 = -2*h + 5*z + 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o - o + o)*(-2 - 2*o + 2) + 40*o**2 - 11*o**2 + 20*o**2 + (4*o**2 - 2*o**2 - 3*o**2)*(-2 + 4 + 0).\nAnswer: 55*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 686 is divided by 219?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1080821?\nAnswer: 7, 59, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6dcf (base 16) in base 15?\nAnswer: -84e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 5*k**2 + 4*k - 3. Let q be m(-4). Let z(p) = -19*p - 56. Let w be z(q). Solve j - w = -3, 2*o - 3*j + 4 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10443140 - 20203?\nAnswer: -11013343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-26)\/91 + (-23)\/(-7). Solve -2*w = -2*d - 8, 0 = -j*w + w - d + 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/6 + (12\/(-2))\/18. Suppose 3*o + 6 + 96 = 0. Let n be 2*o\/4*-1. Solve 3*a + c = n for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + (3*sqrt(2448)*-3 - sqrt(2448))).\nAnswer: -16 + 480*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1592*n - 1630*n + 5870*n to i + r*n and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 12:16 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.85 - 0.15. Let r = 49 - 53. Sort 2, r, k in decreasing order.\nAnswer: 2, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -5*y**3 + 5*y**2. Let m(k) = k + 3. Suppose 2*s - s - p = -12, s + 20 = 5*p. Let x be m(s). Let n(f) = -8*f**3 + 7*f**2. What is x*t(v) + 5*n(v)?\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-3 + -1 + 153\/45). Solve -r - 3*z - z = -10, 2*r + d*z = 11 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28902588 a multiple of 286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*n + 17 = 0, n = -v + 2*v - 7. What is the second derivative of -3*j + 4*j + 11*j**v + 5*j wrt j?\nAnswer: 132*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 3*t**2 - 3*t - 2. Let a(r) = 2*r. What is the remainder when c(6) is divided by a(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - w + w)*(2*w - 3*w + 0*w)*(0 + 4 - 3)*(-4*w**3 + 0*w**3 + 3*w**3).\nAnswer: -w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccyo when four letters picked without replacement from yoyonoccnmcmn.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 973541.1l to millilitres.\nAnswer: 973541100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/17 (b) -1 (c) 1\/3 (d) -24.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9)\/(-6))\/(-1 - 12\/(-8)). Suppose -2*n = z*w - 23 - 625, -2*w + n = -432. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -5*z - 25. Let j be l(-7). Solve j*u - 9 = 13*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 51473765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -637*b**3 - 20*b**2 + 27*b - 3. Let w(n) = -849*n**3 - 26*n**2 + 35*n - 4. What is 13*t(m) - 10*w(m)?\nAnswer: 209*m**3 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 40324\/18 + 2\/(-9). Is 30 a factor of (-4)\/(-10) + j\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + b = 50. Let p = -1158 - -1161. Let h(v) = -239*v**2 - p + 238*v**2 - 124*v + 133*v. What is h(b)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -9, 9 in descending order.\nAnswer: 9, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, r: 6, b: 3, u: 2, n: 4, e: 1}. What is prob of picking 1 n, 1 u, 1 r, and 1 e?\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1196.56 decades in years?\nAnswer: 11965.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1341036 and 432.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**3 - 114*s**2 - 8*s - 8. Let k(a) = -a**3 - 76*a**2 - 5*a - 5. Determine -8*k(g) + 5*q(g).\nAnswer: -2*g**3 + 38*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1356178 to the power of 1\/4, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 5*a**2 - 2*a + 2. Let j(o) = -o**3 - o**2 + 3. Let v be j(0). Let m be (-1)\/(-2)*12 - v. Suppose m*r - 4 = -16. Determine t(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j**2 + 5 - 9*j - 3*j**2 + 4 + 2. What is the units digit of r(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 5*o**8\/336 - o**4\/24 + 5*o**2\/2 - 1. Let b(c) be the second derivative of r(c). Find the second derivative of b(k) wrt k.\nAnswer: 100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/380)\/(12\/20).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 - -29. Suppose q = n*q - 6. Suppose -24 = -5*t - 3*x, 2*x + q = 3*t + x. Solve -t*m + 4*m + 3 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u + 2*u - 6*u - 58*u**2.\nAnswer: -58*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 1, 0 in descending order.\nAnswer: 3, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*n - 4*r, 5*r + 1 = 3*n + r. Let k = -1 + -1. Which is the third biggest value? (a) n (b) 1\/7 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.6 - -6.4. Let x = 4.2 + y. What is the closest to x in 0.5, -1, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppyrkiqqrqqrpiiqi. What is prob of sequence rqqi?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73808*g - 36913*g - 36905*g.\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + 2*(-2 + sqrt(343)))**2.\nAnswer: -4224 + 504*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*k + 49*y - 133 - 280, 6*k - 135 = 11*k - 3*y for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -6*r**5\/5 + 3*r - 10. What is the first derivative of k(n) wrt n?\nAnswer: -24*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*g + 2\/3*g**2 - 2.\nAnswer: 2*(g - 1)*(g + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*-4 - sqrt(102) - sqrt(102))*-2 + sqrt(102) - sqrt(102))\/(6*sqrt(216)) + 5 + -3.\nAnswer: sqrt(17)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11651 - 7772. What is the remainder when w is divided by 37?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4088492 is divided by 12132.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 581 = 316*x + 303 - 2419 - 2043 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -23. Let v be (1 + 0)\/((-5)\/k). What are the prime factors of 24 + v\/(1\/(-1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 - l**2 - 6*l**2)*(-12*l - l + 3*l - l + 2*l - 3*l + 4 - 2*l - 4 + (-2*l + 4*l - l)*(-2 + 0 + 0)).\nAnswer: 144*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 4*l**2 - 4*l + 1. Let y be a(4). Let w = y - -44. Suppose -3*r + 3*j = -33, -3*r + 9 = 6*j - j. What is the remainder when w is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 4*h**2 + 11*h + 37. What is v(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47018808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*f - 23. Suppose -5*o = 0, -4*o + 40 = -f*c + 100. Solve 0 = w + 3*w - c for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1042216, 153, 3\/7, 5 in increasing order.\nAnswer: -1042216, 3\/7, 5, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 544 and 374.\nAnswer: 5984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 11:04 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5002 + -5042.66. Let r = 0.34 - u. Let l = r - 40.9999949. What is l rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -20.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15 + 6*g**2 + g**3 - 15 wrt g?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3722821?\nAnswer: 31, 120091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + -5*(sqrt(91) + (sqrt(91) - (sqrt(91) + (sqrt(91) - 1*sqrt(91)) + sqrt(91)))))\/(sqrt(1400)\/sqrt(8)) + 4.\nAnswer: sqrt(13)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*r - 69*r - 57*r.\nAnswer: -137*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4\/3 (b) -1 (c) 0.06 (d) 0.063\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1928 (base 10) in base 9?\nAnswer: 2572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (28\/(-2))\/((-27)\/6 + 4). Let p(d) = 4*d - 25 - 6*d + x. Let w(b) = -b**2 + 4*b - 7. Give 5*p(u) + 2*w(u).\nAnswer: -2*u**2 - 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -58\/143?\nAnswer: -58\/143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1227891738?\nAnswer: 2, 3, 204648623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.98, 0.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c + 8501 - 8564 = 0 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)\/h**(-1\/11))**(-26) assuming h is positive.\nAnswer: h**(546\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -11. Let j(p) = -2*p - 5. Let g(l) = 2*l + 4. Determine i*j(m) + 3*g(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/5 - 4820*y + 24099\/5.\nAnswer: (y - 24099)*(y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j + 375 + 356 = 0. Solve 0 = -j*f + 53*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 11:33 PM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97841 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i - 146. Let x(m) = 42 + 10 - 23. Let n(o) = -2*q(o) - 11*x(o). What is the first derivative of n(z) wrt z?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -3, 477, 3\/17, 2\/3 in ascending order.\nAnswer: -3, -2\/7, 3\/17, 2\/3, 477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 5*i. Let q be l(5). Suppose q = 3*j - 0*j + 21141. Let g be 2\/(-3)*(j - 3). What is g rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -792996 (b) 0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/12*-3)\/((-100)\/(-160))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-39 - 961)*(2 + (486 - 1)). What is n rounded to the nearest 10000?\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*i**2*j**2 - i**2*j - 115*i**2*x**3 - 732*i*j - 2*i*x**3 - j**2 wrt i.\nAnswer: 8*j**2 - 2*j - 230*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/(-300))\/((-4)\/10)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 b when two letters picked without replacement from obqqtbbqbqobqbo?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert a9587 (base 14) to base 5.\nAnswer: 101104310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -644114*o + 322790*o + 322151*o.\nAnswer: 827*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*x = 69*x + 1488. What is the greatest common factor of 279 and x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 75838203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27065 - -9946. What is f rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a + 4*a - a)*(0*a + a + a) + a**2 - 10 + 26 + 9*a - 7*a as b + y*a**2 + j*a and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 5*u**2 + u + 1. Let p(a) = -a**3 - 6*a**2 - 1. Let z(c) = -c + 10. Let q be z(7). Let n(g) = q*l(g) + 2*p(g). Factor n(f).\nAnswer: (f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 675 and 142530.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + -2 + 3 + -3. Suppose 3*f + f - m = -1, -j*f - 17 = -4*m. Let s be (f\/3)\/(1\/6). What is the third smallest value in -2\/5, s, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -29. Is 10 a factor of (-3)\/s - 1054\/(-24)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x**3 + 15*x**2 - 5*x. Let w(n) = 5*n**3 - 16*n**2 + 6*n. Calculate 6*q(v) + 5*w(v).\nAnswer: v**3 + 10*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15704000 rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5 + 1 = 0. Differentiate 4*i - 11*i**g - 4*i - 15 + 11 wrt i.\nAnswer: -33*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 22 = -4*z, -18*m - 2*z + 12 = -0*z for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64491470?\nAnswer: 2, 5, 31, 208037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*m + 2*l, 0 = -5*m - 5*l + 2*l + 59. Calculate the remainder when 24 is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 divided by -31?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/2*8\/(-6). Let u be r\/(-2 - 288\/(-146)). Let v = u - 52. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 726\/54) + (-388)\/18 - -11.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lwl when three letters picked without replacement from {l: 3, w: 9}.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 8*b + 5*b + 5865, 2*g = -b + 5875. Suppose 19*n + n = g. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 73372626, 146745250, 220117874?\n\"Answer: 73372624*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 498327711?\nAnswer: 3, 7, 73, 173, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -1, -4259, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**5 - 2*l**5 + 2*l**5 + (1 - 2*l**2 - 1)*(3*l**3 - 4*l**3 - 2*l**3))*(-3 + 3 + 1)*(4 + 2 - 1).\nAnswer: 35*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 615 divided by -615\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a = -52*a - 27*a + 2790 for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -46*f - 44. Let s be a(-1). Suppose s*c - 4*t - 156 = 84, 3*t + 354 = 3*c. Calculate the remainder when c is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, w: 16, d: 1}. What is prob of picking 1 d and 1 w?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 2*z - 3*d, -z + d - 6 = -0*d. Is ((-4772)\/(-10) - z)*5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4*f**2. Let y(p) = 1094114*p. Calculate o(y(n)).\nAnswer: -4788341779984*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 590*v**4 + 2*v**2 - 6*v - 21. Let o(w) = 4129*w**4 + 15*w**2 - 45*w - 147. Let q(h) = -4*o(h) + 30*t(h). What is the first derivative of q(m) wrt m?\nAnswer: 4736*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 8 = -3*v, 0*c + 5*c = 2*v + 20. Let w be 2\/4*48\/c. Let g(a) = 9*a**2 + 15*a + 7. Let u(t) = -5*t**2 - 8*t - 4. Calculate w*g(y) + 11*u(y).\nAnswer: -y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1923462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2514 + 35431204?\nAnswer: 35424250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/12 + 0 - (-20)\/(-6). Let t(q) = -q + 2. What is t(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3 = -3. Is s + 0 + (176 - -9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-759402)\/(-1148)*128\/6 a multiple of 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p + 5*o - 24, -2*p + p = -4*o + 19 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -535 in -4\/3, -1, -0.5, -3\/4, -45, 3\/2?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 24 = 28. Suppose c - 30 + 10 = -2*u, 17 = u + x*c. Solve b - 1 = 2*b - 3*z, u = 3*b + 3*z for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kh when two letters picked without replacement from tkphhhkktthphhhhtkt.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 1887*h**2 - 235*h - 1143. Is v(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120055661 rounded to the nearest 10000?\nAnswer: -120060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13843, 54180, 121007, 214324, 334131, 480428?\nAnswer: 653215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 70, 1, -5 in ascending order.\nAnswer: -5, 1, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 11. Let i = b + -6. Suppose c = i*d - 74, d + 0*c - 29 = -5*c. What is the remainder when d is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 6 and -67366.\nAnswer: -67360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 b when four letters picked without replacement from eseb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2054357120 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*o = -106*o - 2964. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 18*z**2 + 0*z**2 + 10.\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 26\/8 + (-324)\/(-48) + -6. Solve -s - 6 = -d*s - 4*o, -5*s + 4*o = -10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 3.2. Let v = -0.9 - 0.1. Let z = -4 - v. What is the nearest to p in z, 2\/7, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*i - 32*i - 7 = -2*n, 5*n - 24 = -4*i for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -132914250, -132914248, -132914246, -132914244, -132914242?\n\"Answer: 2*s - 132914252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/7 - (-362)\/7. Let g be (2\/4)\/(4\/32). Suppose 5*i = -3*a + 4 + 27, g*i = 4*a - h. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05885838 to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 623431?\nAnswer: -623430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -983 - -12791\/13. Let g = s + -8\/65. Which is the closest to 2? (a) g (b) -2\/7 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus 3661?\nAnswer: 3658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence woww when four letters picked without replacement from wwoowwwoowwowwowowoo?\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 12:19 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 22 + 34 + 27 + -42\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -413 - 428 = -44*d - 269 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 49*y - 156. Give k(-43).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1772 + 330*j**2 + 61410*j**3 - 2212 - 61315*j**3 - 5*j**4 + 20*j.\nAnswer: -5*(j - 22)*(j - 1)*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 532860?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361*i - 115 + 386 = -812 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 498 + -327. Suppose -15 = g - 6. Let x be (g\/(-18))\/(1\/38). Calculate the greatest common factor of v and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13553033 (base 8) in base 2?\nAnswer: 1011101101011000011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-136)*(-3)\/(27\/36*-4).\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 28*v**2 - 84*v - 121. Let g(l) = -19*l**2 + 56*l + 80. Let k(m) = -8*g(m) - 5*y(m). Does 33 divide k(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*p**4 - 2*p**3 + 3 - 14*p**2 - 9 + 3*p**3 to the form h + j*p**2 + r*p + n*p**4 + i*p**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3333 - -3332.95. Which is smaller: 1\/30 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-33)\/(-2) + 1\/2. Let z = 14 + -4. Let m = i - z. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 2) + 5 - (-80 - -75)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 13) in base 6?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*f**3 - 15*f**3 + f**2 + 30*f**3 wrt f?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 7 - 4) + (28 - 23) + -14.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 928 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 0.0517, 64, 5?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 26*r - 31. Let z(v) = -5*v - 2. What is u(a) + 6*z(a)?\nAnswer: -4*a - 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -8*m + 497. Suppose -w = 3*l - m, -l + 8*w + 20 = 12*w. Let a be 60*(0 + (-2 - -4)). What is the highest common factor of l and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1838*s - 34273.\nAnswer: -1838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**3 - 47*l**2 - 122*l - 61. Determine r(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*a - 10 = -4*y - 143*a, -4*y = -a - 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26872 + 26867. What is the second smallest value in -3, d, -2, -63, -0.03?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gi when two letters picked without replacement from {w: 1, s: 2, g: 6, i: 3}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12130 + 1.838.\nAnswer: 12131.838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-12)*(0 + 2 + 50). Suppose 718 = -j*m + 29877. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 105 and 6150676.\nAnswer: 92260140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -155*b**3 + 131*b**3 - 120 - 2*b + b**2 + 120 as x + t*b**2 + v*b**3 + u*b and give v.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6121?\nAnswer: 6121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1*-1 + (16 - 12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5986, 5990, 5992, 5992, 5990?\nAnswer: 5986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(2\/17))**10)**(14\/13))**21 assuming l is positive.\nAnswer: l**(5880\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15311471 is divided by 1913928?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -26321*a + 3000591. Calculate c(114).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2958444.\nAnswer: 2, 3, 23, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-2))\/(15\/(-10)). Let x be -13*(-1 + f)\/3. Suppose 3*w - x = -1, 2*d - w = 20. 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 44301.9 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a - 3. Let m be k(3). Suppose -4*h + 234 = -3*t, -5*h + 257 = t - 26. Let g = h + m. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 60 = 9*k, 348*d + 3*k - 18 = 348*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of q**5\/20 + 11*q**4\/12 + q**3\/6 + 13*q**2\/2 + 2*q. Calculate s(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 12:07 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -35*x**3 + 2*x**2 - 5*x - 6. Let k(d) = 32*d**3 - 2*d**2 + 4*d + 5. Let l(h) = -4*g(h) - 5*k(h). Calculate l(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 2*v**2 + v**3)*(5*v - 4*v - 8*v) + 7*v**4 + 0*v**4 - 3*v**4.\nAnswer: -3*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 5:46 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2439 - 80. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 228 = z. Suppose z*g - 70*g = -24. Which is bigger: g or -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-14))\/((-81)\/567)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -2 + 1 + -1 + 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*h - 16 = -32*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*j - 2469 - 10886, 8040 = 3*j - 3*c. Calculate the greatest common factor of 125 and j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a century in months?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4456.\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.68 + -0.08. Let v = -2.6 + g. Suppose 5273*k = 5248*k + 175. Which is the second biggest value? (a) 2\/5 (b) 0.5 (c) v (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n. Let p(r) = -r. Let g(t) = -2*o(t) - 9*p(t). Let s be g(-2). Let u(a) = -5*a - 2*a**2 - 2 + 5*a**2 - 2*a**s. Determine u(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y**3 - 5*y**2. Let c = -10 - -16. Let k = -12 + c. Let v(x) = -4*x**3 - 6*x**2. What is k*s(q) + 5*v(q)?\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-6)*-3*(-8)\/(-3). Let f be ((-1470)\/(-168))\/((-9)\/(-4) - 2). Put c, f, 1, 5 in increasing order.\nAnswer: c, 1, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7a - -17143b?\nAnswer: 1714b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 914576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 949470, 1898929, 2848388?\n\"Answer: 949459*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of 0*x**3 + 0 - 7*x**2 + 1\/12*x**4 + 0*x. Let h(r) = -4*r. Calculate t(h(q)).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (7 - -4) + (96 - 114).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(784) - (sqrt(784) + 3*sqrt(784)))\/sqrt(7) + 4.\nAnswer: -12*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 115744?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**3\/2 + l**2\/2 + 3*l. Let a be i(3). What is the common denominator of -63\/10 and (-270)\/16*6\/a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(1700) - -2*-1*sqrt(1700)) + -3 + -1)**2*-4.\nAnswer: -6869 - 320*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.28 + -0.08. Let f = 0.049 - 1.049. Sort f, -5, p in descending order.\nAnswer: p, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24 + -163?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, 2, -3, 1 in ascending order.\nAnswer: -3, 1, 2, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 5*q - 15. What are the prime factors of m(9)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.01 - 0.04. Let m = l + 4.13. Let q = 6.9 + m. Which is smaller: 1\/2 or q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 19*z + 1285. Let q be g(-88). Round q to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 352 minutes before 5:07 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p - 7 = -2*p. Let x be (-2)\/((15 - p)\/2). Let v = 1 + -1.1. Which is the nearest to x? (a) -0.2 (b) -1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**2 - 801*k - 40 - 40 - 42 + 55 + 70 to j + n*k**2 + q*k and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -4*s, -5*s + 1 = 5*m - 9*s for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 x when two letters picked without replacement from {a: 2, u: 2, x: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-1))\/((112\/(-42))\/((-2)\/4)).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 21, -113 in ascending order.\nAnswer: -113, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2b96a (base 16) to base 15\nAnswer: -37d78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) + 0)*-4 + -1)**2.\nAnswer: 80*sqrt(2) + 3201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z**2 - 2383*z - 36. Let a(o) = -o. Give a(f(k)).\nAnswer: 3*k**2 + 2383*k + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 21 = 5*y, 3*r + 2*r - 2*y = 9. Suppose 2*l + 3*l - 45 = -5*o, -5*o - r = -3*l. Let s = l - -27. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/(sqrt(252)*1))**2.\nAnswer: 17\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 2)*(-7 - -17 - 614). Solve 35 = 597*p - b*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - (41 + -3))*-1. Let c = h - 33. Suppose -c*o = 5*w - 170 - 107, 4*o + 2*w = 274. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -77*h + 190. Let w be k(-4). Suppose c - 795 = 4*c. Let r = w + c. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 2)*(l - l - 3*l)*(3 - 1 - 1)*(-l**2 + 2*l**2 - 3*l**2).\nAnswer: 18*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -29*k + 136. Let j(x) = -3*x**2 - 13*x - 64. Let t(s) = -s**2 - 4*s - 22. Let r(v) = k*j(v) - 17*t(v). Give r(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 3)*(-z**4 - 4*z**4 + 4*z**4) + (-2*z**2 + 5*z**2 + z**2)*(-z**2 + 5 - 5) + (5 - 69*z**3 - 6 - z**3)*(-9 + 9 - 6*z).\nAnswer: 419*z**4 + 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 13*i**2 + 6*i - 206. Let m(s) = 5*s. Calculate z(m(u)).\nAnswer: 325*u**2 + 30*u - 206","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1550 by -5.\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12130 - 10440?\nAnswer: -23120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 34*h - 9. Let s(i) = -9*i + 6. What is the remainder when s(-5) is divided by q(-35)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1078 is divided by 51.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 2:17 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -15. Let x(a) = a**3 - 5*a**2 - 2*a + 6. Give x(d).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2565655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 48*a**4 + 341 wrt a?\nAnswer: 192*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005462292369 rounded to seven dps?\nAnswer: -0.0054623","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 - -24. Suppose -v = -h - 27. Let w be 56\/8 - (-1 - 0). Calculate the greatest common factor of h and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.012 + -0.153834699541.\nAnswer: -0.141834699541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19 and -30107.2.\nAnswer: -572036.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 123 - 128. Sort m, -61, -2, -3 in ascending order.\nAnswer: -61, m, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/3*1)\/(18*(-25)\/(-1350))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -187586 divided by 14?\nAnswer: -13399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 69922 or 68793?\nAnswer: 69922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**3*f)**(-15))**(-13) assuming f is positive.\nAnswer: f**780","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 - -17. Let u be 2\/9 + 312\/m. Let f be (((-9)\/u)\/3)\/(-2). Is 0.1 at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 182725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 36*t - 4.\nAnswer: -36*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 6. Let u(t) be the second derivative of 0*t**2 + 0 - 1\/30*t**6 + 0*t**k - 1\/12*t**4 + 0*t**3 + t. Find the third derivative of u(i) wrt i.\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2858\/3 or 954?\nAnswer: 954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/755520 and 25\/168.\nAnswer: 5288640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40283193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-375)\/(-10) + 3\/(-2). Calculate the highest common divisor of a and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4380, 4379, 4378, 4377?\n\"Answer: -d + 4381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + y = -20. Suppose -13*o = o - 14. Solve -2*b - 3*g = -8, y*b - 5*g + o = 21 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*-31.\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 10*p**4 - 53*p**3\/3 - 54. Find the third derivative of m(g) wrt g.\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -65*u**2 + 10*u - 12. Let n(a) = -66*a**2 + 12*a - 13. Calculate 5*k(z) - 4*n(z).\nAnswer: -61*z**2 + 2*z - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 37?\nAnswer: -18.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 28*u**2 - 128*u - 784. Calculate b(-6).\nAnswer: 992","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - ((5 - -2) + (18 - -46))) + 10.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 259*b - 812. What is y(3)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 438 divided by -2196?\nAnswer: -73\/366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2519087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13086834091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -3*m + 14. Suppose m*k + 0*k + 30 = 2*q, -3*q + 35 = 2*k. What is the third derivative of 11*c**5 - 11*c**2 - q*c**2 + 15*c**2 wrt c?\nAnswer: 660*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -51*y. Suppose 0 = 8*a - 0*a - 8. Let g(j) = -2*j. Let u(c) = a*d(c) - 34*g(c). Let m(o) = o. Give u(m(i)).\nAnswer: 17*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 171491533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79 + 36 + 2*b**2 + b**2 + 98.\nAnswer: 3*b**2 + 213","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -4 - (-2 - 8)) + (102 - 106).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**2 + a**2 - 3*a**2 + (14*a - 23*a - 13*a)*(-1 + a + 1).\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-463636)\/(-26173)*(-35)\/10\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = h + 91, 0*a - 4*h = -a + 100. Let g = a + -55. Let z = g - 17. Is z a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3\/2 - 59595*d**2\/2 + 88054560*d + 4386511360.\nAnswer: 5*(d - 5984)**2*(d + 49)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(19))**2 + 5 + 3 - (((1 + sqrt(19) + -3)**2 - sqrt(19)) + sqrt(475)*1).\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 11:29 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4*h - 12 = 0, -2*q - 12*h = -14*h - 14. Suppose 2*y - 100 = -5*f, -q*y - 65 = -4*f + 15. Solve -3*d - d = -3*z + f, 5*z - 5*d = 25 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.981 - -10.781. Which is the fourth smallest value? (a) o (b) -49 (c) 0.1 (d) -1\/3 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3195 - -3206. Solve 16*p - k*p - 5*g = -15, -4*g = p + 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -147*o + 9708. Calculate l(66).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7612160 and 1600.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 4\/17, 3?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12112 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233 + 1078 = 13*h. Let w = h + -29. Suppose -2*t + 91 = -3*b, -2*t + 5*b = -49 - w. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 7 = 4*z, 405*l = 406*l - 3*z for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3073*u - 7601849 + 7601849 as h*u + z and give h.\nAnswer: -3073","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -2bb?\nAnswer: 2b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/35)\/(-1) - (-46)\/126. Suppose -4\/9 + s*q + 2\/9*q**2 = 0. Calculate q.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*g + 16*g + 288. Suppose -3*i + 399 = 4*f, -5*f + 4*f - 2*i + 106 = 0. What is the greatest common divisor of g and f?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g + 2*g + g + g**2 to the form h*g**2 + j*g + c and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -149667, -298512, -447371, -596250, -745155, -894092, -1043067, -1192086?\n\"Answer: -a**3 - a**2 - 148835*a - 830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*z**3 - 48*z**3 - 35*z**3.\nAnswer: -67*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*t**5 - 65*t**4 + 45*t**3 + 65*t**2 + 10*t = 0 for t.\nAnswer: -1, -2\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 2*a**2 - 13*a - 6. Calculate v(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/3))**(-5)\/(p\/(p\/((p**(1\/3)\/p)\/p*p))*p**(2\/15)*p)*(p*p**2)**(-2\/21)*(p*p**(1\/3)*p)\/(p**(-3\/8)\/p) assuming p is positive.\nAnswer: p**(3883\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = p + a, -3*p + 6*p = -4*a + 65. Calculate the greatest common divisor of p and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-1\/2)*n))**(31\/2)*(n\/((n*n**(-1\/2))\/n))\/(n**(5\/6)\/n*n) assuming n is positive.\nAnswer: n**(101\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 155055 (base 6) in base 3?\nAnswer: 210002022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 19\/(-95) - ((-4)\/7 + 1207\/(-595)). Determine l so that 0 - 16\/5*l**3 + 4\/5*l**4 + 0*l + n*l**2 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m**2 - 10*m + 2. Let d(o) = 38*o + 42*o - 125*o + 46*o - o**2 + 1. Let j(s) = 2*d(s) - z(s). Factor j(w).\nAnswer: w*(w + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32241 + 31?\nAnswer: -32210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.048 plus -659.93499?\nAnswer: -659.88699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 22541.8823 to the nearest 10.\nAnswer: 22540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111, 188, 231, 240, 215, 156?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**2 + 423962168*g - 22467989986907528 = 0.\nAnswer: 105990542","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 h when three letters picked without replacement from hnhcecccececec?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2309305310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t - 5*t**2 + 120*t**2 + 3*t.\nAnswer: 115*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 365 - 365. Which is smaller: o or -459?\nAnswer: -459","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + (3 - 17\/5). Which is the third smallest value? (a) -4 (b) i (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277000155?\nAnswer: 3, 5, 23, 131, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -66032143, -4 in ascending order.\nAnswer: -66032143, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 4, -5*x = 5*d - 4*x - 12117. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p - 2 + 19*p + 0.\nAnswer: 11*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h*w**2*y**3 - 2*h*w**2*y**2 - h*y**3 - 726*h - 1428631*w**3*y**3 - 17*w**3*y + 141*w**2*y**2 wrt y.\nAnswer: 6*h*w**2 - 6*h - 8571786*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.3472 + 0.3472. What is the second biggest value in -39, a, 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b - 7. Let w be c(11). Suppose w*h - 22 = 3*x, -2*h - 2*h - 4*x + 8 = 0. Suppose 5*r + 9 = 3*p, 0 = h*r - 12. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 + 560*v + 2208.\nAnswer: 2*(v + 4)*(v + 276)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 h when two letters picked without replacement from iipxphxirkx?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5125139.\nAnswer: 5125139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**3 - 6*l**3 + 4*l**3)*(9 - 9 + 7*l**2)*(-1 + 1 + 3) + (2*l**3 - 3*l**3 - l**3)*(1 - 2*l**2 - 1).\nAnswer: 46*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/651500 and -59\/1380.\nAnswer: 44953500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7133, -29680, -67273, -119924, -187645?\nAnswer: -270448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 140386903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 0.8 (c) -50\/3 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18013256 by 4.\nAnswer: 4503314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1250)*1 + (sqrt(50) - (sqrt(50) + -3*sqrt(3200))))\/(-6*(sqrt(490) + (sqrt(490)*-2 - sqrt(490)))*1))**2 + -2.\nAnswer: -9907\/7056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 2\/31, -200\/3, 0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 0*l - 18*l + 2*l + l**2 - 43. Does 34 divide k(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12075, -12073, -12071?\nAnswer: -12069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -1, 3, 11 in decreasing order.\nAnswer: 11, 3, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41 and 2 + -5 - (273\/36 + -2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4017042 divided by 1.\nAnswer: -4017042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*g + 5*y + 20 = 0, 0 = -g + y + 6. Let m(f) = -2*f - f - f + g*f. Let p(d) = 2*d**2. Determine p(m(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 68137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10995 by 5.\nAnswer: -2199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.72 - 0.72. What is the second smallest value in 2\/3, -1\/10, 7, j?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31916 divided by 7.\nAnswer: -31916\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 20*h - 81. Let k be s(-15). Let i be -5 + -2 - (k - 6). Solve -2*f - 3*d + 1 = 0, -4*f + 5*d + i = -8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 346987576282 and -223.\nAnswer: 346987576059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/18 and -8\/10179?\nAnswer: 20358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1025776*m*q**2 + 10355*m*q + 29*m wrt q?\nAnswer: 2051552*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -2 - -8)\/(((-22)\/(-330))\/(129\/387))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 192144462 and 1154?\nAnswer: 1154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 91918, 0.4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 255222 (base 6) to base 9.\nAnswer: 34735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1 (b) -5\/2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -93.2 or 56?\nAnswer: -93.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/9)*d*d\/(d\/(d**1*d*d)))\/(d**(-9)\/((d\/d**7)\/d)) assuming d is positive.\nAnswer: d**(55\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 17805 = 21489. Is f a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 33 = 3*i, 9 = i + 4*q - 16. Is -0.1 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30008340?\nAnswer: 2, 3, 5, 61, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d + 14. Let z be g(-11). Suppose 0 = -5*t + z + 117. What is the highest common factor of 7 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -164.99244 + 165. What is l rounded to 4 dps?\nAnswer: 0.0076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2286947 and 2088296.9.\nAnswer: -198650.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kogo when four letters picked without replacement from {u: 4, k: 1, o: 3, g: 3, e: 7}?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 423\/(-45) - (1 - 10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3054 + -1142. Let m = a + -967. Suppose -8*d + d + m = 0. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u - 4. Let y be x(6). Let c = 5 + y. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 558 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 4*p**2 + 6*p - 1. Suppose 5*k = -0*k. Suppose -5*g + 24 - 79 = k. Let m = -16 - g. Give u(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1)*g)**42*(g*g\/g**(-3))\/((g*g**(1\/5)*g)\/g) assuming g is positive.\nAnswer: g**(19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4306.332 litres in millilitres?\nAnswer: 4306332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**3 - 32 + 32 - 3*k**2 + (-5*k + 5*k + 5*k**2)*(k - 6*k + 3*k) as t*k**3 + c*k + f + h*k**2 and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*f = 41*f. Suppose 3*w + f = -3, -o + 83 = -2*w. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*a - 179 - 11 = 0, a + 359 = 4*u. What is the remainder when u is divided by 2\/(66\/62 + -1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -51 + 30?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 13.3. Which is the second biggest value? (a) 2\/17 (b) i (c) -6 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-19)\/(228\/(-28))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 961\/3 + (-2 - 15\/(-9)). What is the highest common factor of 32 and x?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3573493 rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*j + 7. Suppose 3*f - 2*d = -0 - 1, -3*f + j*d = 7. Let v(b) = -4*b**2 - 2*b + 1. What is v(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/25 + 52\/20. Suppose -2*u - 2*v = w*v - 854, u - 5*v = 434. List the prime factors of u.\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iei when three letters picked without replacement from {i: 16, e: 2}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (-29 - -11)) + (-614 - -594)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnodp. What is prob of picking 1 d and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 10*k**3 + 4*k**2 + 12*k - 32. Let h be m(2). Which is the second smallest value? (a) -1 (b) h (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13016367 and 20025180.\nAnswer: 260327340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 4*g**2 - 2*g. Let c(u) = -u**2 + u + 2. Let n be c(3). What is the units digit of m(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*f**3 - 475*f - 24*f**3 - 619 - 11*f**4 + 510*f - 788 wrt f.\nAnswer: -44*f**3 + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -367*j**2 - 78*j + 78*j - 13*j**2.\nAnswer: -380*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 139\/(((-9)\/(-3))\/18). Suppose -j = -8*f + 310. Suppose 793 = 5*s + f. What is the greatest common divisor of 52 and s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 22. Let p(j) = 4*j**2 - 2*j - 1. Let o be p(m). Calculate the greatest common divisor of o and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*v + 7, -2*v + 3*m = -15 - 8. Determine z, given that 41*z**5 - 4 + 48*z**4 + 16*z**3 + 12*z**3 - 12*z**2 - 23*z**5 - 18*z + v*z**3 = 0.\nAnswer: -1, -1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 92 - 90. Let t be (c\/36)\/(11\/165). Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/11 (b) -0.1 (c) -4 (d) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 10:09 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 4:31 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37491 = -7*f + 134385. Let l(s) = -f*s + 13842*s + 34*s**2. Let r(b) be the second derivative of -b**3\/6 - b. Give l(r(t)).\nAnswer: 34*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-7) + (-3536)\/1008 + (-4)\/(-18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 6*h**2 - 4*h - 14. Let w = -64 - -68. Let z be l(w). Solve -4*y = y - 2*a + 20, -z*a = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 3*b**5\/35 + 17*b**4\/28 + b**3\/3 - 17*b**2\/14 - 10*b\/7 - 355. Determine w, given that g(w) = 0.\nAnswer: -5, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189274 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 172316819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 836.2376ng?\nAnswer: 0.8362376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 152299 - -9?\nAnswer: 152308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 5, -40, 7 in descending order.\nAnswer: 7, 5, -16, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in -3, -74396, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3*(70\/6)\/35\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4778239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 1268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l**2 - l**2 - 2*l**2)*(4*l**3 + 27 - 11 - 17).\nAnswer: 12*l**5 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19765.22*1.\nAnswer: 19765.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -781.0489 + 781. Let b = -15 + 14.95. Let s = b - l. Round s to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 5*f - f - 1 = 0, 0 = -4*r + f + 16 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m + 6*m = -665. Calculate the highest common divisor of 57 and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dudeuuedqwqy. Give prob of sequence wd.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.07, 5, 2.7?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - -1*(1 + 1). Factor 4 + j*g**4 + 8*g**3 + 3*g - 4*g**5 + 0*g - 7*g + 0 - 8*g**2.\nAnswer: -4*(g - 1)**3*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 872801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/15 and -133\/12834?\nAnswer: 64170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/(-30)*-4)\/(2\/5). Suppose -4*z - c*l + 518 = -2*z, -5*z = 2*l - 1317. Is 23 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 148 or 179?\nAnswer: 148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8404959.\nAnswer: 3, 23, 41, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1543559 to the nearest integer?\nAnswer: 1242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/55 and 9\/55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 404, 808, 1212?\nAnswer: 1616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 205983 divided by -1\nAnswer: -205983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0 (b) -31\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 252552140279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - 2 - (10 - -6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5223390 to the power of 1\/4, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 11:53 PM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, m: 1, c: 2, u: 1, b: 1}. Give prob of picking 2 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -17*u**3 - 2*u**2 - u. Calculate the smallest common multiple of s(-1) and ((-40)\/(-25))\/(22\/165).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 3 + 189\/15 + 3\/(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -128, -591, -1362, -2441?\n\"Answer: -154*f**2 - f + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 14 + 0 = 0. Suppose 14*v - 15*v + 2 = 0, 3*b - 5*v = 452. What is the greatest common factor of b and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 558*n - 4047 = 665*n - 944 for n.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + 7. Let z = r - 7. Solve 0 = 3*t - 3*j, 0 = -3*t - 7*j + 2*j + z for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306516 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 39520, 79035, 118552, 158071, 197592, 237115?\n\"Answer: o**2 + 39512*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2749 - 2*m**2 + 2749 + 362*m to f + p*m + w*m**2 and give p.\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 46 + 17)*(-2*v**3 - v**5 + 2*v**3).\nAnswer: 12*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 4 + 2*w**2)*(6 - 3 - 1) + (1 - 1 + 1)*(w - w + w**2) + 0*w + 0*w + 2*w**2)*(0 + 3*w + 0 + (0*w - w - w)*(-4 + 7 - 11)).\nAnswer: 133*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*2*sqrt(800))\/(6*sqrt(16)\/sqrt(4) - sqrt(8)\/sqrt(8)))**2.\nAnswer: 115200\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9178*t + 571*t - 5728*t)*(-3 + 3 + 1) to the form g*t + d and give g.\nAnswer: -14335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.3, -2, -0.6, 12, 1\/2 in ascending order.\nAnswer: -2, -0.6, 1\/2, 1.3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 6*m + 17. Let a(x) = -1. Let d(i) = 6*a(i) + k(i). Suppose 10 - 2 = b. Let o(g) = -7 - 4*g - 1 - 1 + 2. Give b*o(t) + 5*d(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -108.02 - -113.02. What is the fifth biggest value in -1\/2, q, -0.2, 3\/2, 63?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16092 and 248481?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5496*y**2 - 6076*y**2 + 16859*y**2 + 27947*y**2.\nAnswer: 33234*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.048 - -0.348. What is the second biggest value in -0.4, 30, a, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -442a (base 11) to base 12.\nAnswer: -3468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11418 * 0.5.\nAnswer: 5709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/2)\/((-3)\/(-18)). Let n be ((-1)\/c)\/((-4)\/60). Calculate the greatest common factor of n and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - 1) + (-11 + 7 - -91). Let n = l + -422\/5. Which is bigger: n or -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24\/36011 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/(-6))\/((-36)\/27). What is the units digit of (s + -2)\/((-1)\/326*2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 530235351 (base 6) to base 10.\nAnswer: 9258547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -650 or -5\/2?\nAnswer: -650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1518 and 131562?\nAnswer: 33285186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 8*v + 5. Let g(d) = -d**2 - 5*d + 3. Let o(m) = -8*g(m) + 5*u(m). Let c(w) = -4*w**2. Give 4*c(i) + 5*o(i).\nAnswer: -i**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 357 - 356. What is the nearest to 0 in r, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.155*-602.5\nAnswer: 695.8875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -871*d - 18291. Calculate k(-21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 28 + 127. Let o = -123 - -351. Let x = o + s. What are the prime factors of x?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1382, -1409, -1454, -1517, -1598, -1697, -1814?\n\"Answer: -9*c**2 - 1373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, 0, 2, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, 0, -12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61 + 64. Suppose 12 = p*n - 66. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -905, -1414, -1145, 292, 3287, 8230, 15511, 25520?\nAnswer: 38647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1451031103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 182304018 and 338?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 1 + 5 = 4*x, -5*h = x - 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.99 rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6990.349 and 683?\nAnswer: 6307.349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13263396 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 522\/11, -5, -0.3, -5.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00568599 rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249 = 5*u - 3214. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 19734228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8594? (a) 1\/3 (b) 3 (c) 4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + sqrt(425) + 3) - (5 + (-2*sqrt(204))\/sqrt(12)*-1))**2.\nAnswer: 112*sqrt(17) + 897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(6*-1*sqrt(704) + (sqrt(704) + 1*sqrt(704) + -5 - sqrt(704)))*-4)**2.\nAnswer: 25600*sqrt(11) + 1128000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 6:03 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148, -608, -1368, -2422, -3764, -5388, -7288?\nAnswer: -9458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -163.00178 + 163. Round w to 4 dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/4)\/((-6)\/16). Let s(x) = 0*x - 2*x + k*x. Let c(n) = 3*n**2. What is s(c(t))?\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = s + 17, 3*i = 24 - 9. Solve -1 = 2*b - 3*q + 6, 37 = s*b + 5*q for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -688*u - 94*u + 9 + 999*u + 799*u as y*u + i and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -33?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/1*(-22)\/99.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, 3\/2, 0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95371, 95376, 95377, 95374, 95367, 95356, 95341?\nAnswer: 95322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 9*n + 13. Let o be f(7). Let a be (-90864008)\/72 - o*4\/36. What is a rounded to the nearest 10000?\nAnswer: -1260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44636 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbpbpyybyypyybb. What is prob of picking 1 y, 1 p, and 2 b?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -3*b - 7, -290 = -13*b - 2*o - 287 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 8*a**2 - 8702*a - 2176 = 0.\nAnswer: -1\/4, 1088","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5 - 1 = 0. Let u(k) = -k**3 - 3*k**2 - 2*k - 2. Let a be u(-3). Suppose 0 = -o + 2*o - 0*o. Solve -a*w + w + f = o for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (882\/(-224))\/7*(-96)\/(-1152)?\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121 (base 3) to base 2.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b + b + 30*b)*(-3*b - 8*b - 3*b).\nAnswer: -518*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -14, 132 in descending order.\nAnswer: 132, -0.2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 124*c - 67. Is u(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 15341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of g**4\/24 + 38*g**2 + 2*g. Let r(t) = -31*t + 2. What is i(r(w))?\nAnswer: -31*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 0)\/(11\/(-33)). Solve s*n = -n - 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9.0655 and -0.5.\nAnswer: -4.53275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 7. Suppose 0 = 2*r - 584 + 590. Put 10, j, r in descending order.\nAnswer: 10, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 15120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**2 - 9*y - 6. What is the remainder when 93 is divided by l(5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4027 is divided by 1925?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342\/2 + 1 + 9 + -16.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 755 divide 616080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 133.4 to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/5))**(-43)*y**5*y*y**(-4)*y)**(10\/13) assuming y is positive.\nAnswer: y**(202\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2 + (1 - 4 + 1)*(-1 + 5 - 3) + 1 + 0 - 4)*(4*r**2 - 5*r**2 + 3*r**2)*(0*r + 3*r - 4*r) - 65*r + 145*r**3 + 65*r.\nAnswer: 157*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3079 + 856 = 117*d. Let i(b) = b**3 + 19*b**2 + 4*b - 30. Give i(d).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 15) in base 8?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8842453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*x = 3*d + 2163, -2026*x = -2023*x - 3*d + 21 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25321676 to the power of 1\/2, to the nearest integer?\nAnswer: 5032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -18 + (4 - -17) + 3 + 4 + -2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16 - -43)*(-2)\/12*-2. Suppose 5017 = n*i - 2246. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7762\/5, 1, 7\/6, -1\/4, -3 in decreasing order.\nAnswer: 7762\/5, 7\/6, 1, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/3)\/n*n\/n**(-2\/9))\/(((n\/(n\/(n\/(n\/n**(3\/4)))*n))\/n)\/n**(3\/4)))**(8\/5) assuming n is positive.\nAnswer: n**(112\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16\/4 - 1)*3. Find the first derivative of -25 - 4 + 51*d**3 - y wrt d.\nAnswer: 153*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/3)\/(8\/(-4)))\/(3778\/90672)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393424?\nAnswer: 2, 67, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 l, and 1 z when four letters picked without replacement from {y: 1, x: 2, i: 1, l: 2, z: 10, j: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7217257879.\nAnswer: 13, 449, 1236467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h - 12*h + 13*h - 4*v - 56 = 0, 4*h - 4*v = -24 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 8\/11 - 8*j**2 - 18\/11*j**3 - 62\/11*j = 0.\nAnswer: -4, -1, 1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2808*v + 2849. Give c(-1).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 39*q**2 - 37*q - 63. Give u(38).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.6545407 - 10205068.\nAnswer: -10205073.6545407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (412 - 421) + (-6)\/(-2). Let x(v) = -12*v - 71. What is x(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*t - 4 = 0, -4*t + 16 = -0. Let q(n) = 3967 - 3980 - 34*n + 95*n. Let i be q(x). Round i to the nearest ten.\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**2 - 12*u - 2. Let y be c(-6). Let g be 3\/y*1*976\/(-12). Let x = g + -43. What are the prime factors of x?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 90*j - 12*j**3 - 88*j - 84*j**4 + 11*j**3 in the form l + y*j**2 + c*j**4 + m*j**3 + u*j and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i\/i**0)\/i*i)**16\/((i*i**(-5))\/i**(-4\/3))*((i**1\/i)**(8\/11))**(-32) assuming i is positive.\nAnswer: i**(104\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 154579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3613344206 - -3?\nAnswer: -3613344203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -11021060*d. Let h(k) = -k**2 + 29. What is s(h(m))?\nAnswer: 11021060*m**2 - 319610740","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1926 is divided by 141?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mnrznmhznzjz. Give prob of picking 1 j and 3 n.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6179 = 38*j - 7957. Calculate the greatest common factor of 192 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4515*a**2 - 43*a - 249. Let t be m(-6). Suppose 243571 + t = 13*g. What is g rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*b + 5984 = 7*b - 17*l + 15*l, -b - 3*l + 42 = 0 for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 156 or 1094\/7?\nAnswer: 156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/4 and 21\/(-12) + 2 - (-976)\/(-13248).\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 - x**2 + 0*x**2 - 4*x**3)*(-4*x + 3*x - 2*x).\nAnswer: 12*x**4 + 6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34316*k**5 + k**3*o - 31515*k**2*o wrt k?\nAnswer: -2058960*k**2 + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = x - 2. Calculate the remainder when (27 - -1)*(-7)\/(-28)*7 is divided by 4\/(x\/10*-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 779, 2384, 4867, 8222, 12443, 17524?\nAnswer: 23459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.645 take away -815807?\nAnswer: 815806.355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8619.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -337\/918674?\nAnswer: -337\/918674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -y - 5*a + 21, a + 11 = 3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 85 and 30?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, z: 2, m: 1, b: 1, c: 1, k: 2}. What is prob of picking 1 z and 1 m?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1*(sqrt(500) - (sqrt(500) - (sqrt(500) + -1))*2)**2 + -5 + (-3 + sqrt(500) - sqrt(500))**2 + 5) + 4.\nAnswer: -160*sqrt(5) + 1984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o = -o - 860. Let c = 183 - o. What are the prime factors of c?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -46*o. Let k(g) = -1691*g**2. Give n(k(v)).\nAnswer: 77786*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 6:22 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 2 - ((-1 - 8) + 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**8)**(20\/7)*p*p**(-12\/11)*p*((p\/p**(-7\/3)*p)\/p*p)\/p)**(2\/147) assuming p is positive.\nAnswer: p**(12520\/33957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -263*p**3\/6 + 7*p**2 + 216*p. Find the first derivative of a(l) wrt l.\nAnswer: -263","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-2475) + (6 + 1)\/(-77)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4, -4*x + x + 3*q + 24 = 0. Suppose 0 = -i + 3*d + 2, x*d = 5*i - 43. Let c(m) = -16*m. Let a(b) = -3*b. Give i*a(p) - 2*c(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(sqrt(6) - -1*sqrt(6) - sqrt(6)) - (sqrt(1584) + sqrt(1584) + (sqrt(1584)*1 - sqrt(1584))).\nAnswer: -23*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -118501 greater than -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 68195173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w - 37. Let v be t(-13). Let b = 4 + 0. Find the third derivative of s**4 + s**v + s**4 - b*s**4 wrt s.\nAnswer: -48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l = -0*l - 372. Calculate the remainder when 5981 is divided by l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.002 - -0.102. Let l = 1649616.0999947 + -1649616. Let i = v - l. Round i to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231*x**2\/2 + 695*x\/3 + 4\/3 = 0. What is x?\nAnswer: -2, -4\/693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 1410\/(-260) - (-3)\/18*3\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/43 (b) 2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*c + 0*c - 15*c as x*c + y and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(1152) + -3*sqrt(1152))*-5)**2.\nAnswer: 25\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 8:49 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*p = 111, 0 = -2*m + 18*p - 20*p + 88. Calculate the remainder when 327 is divided by m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*o = 13*o - 432. Which is smaller: o or -47?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**3 - 2*q**3 - q**3)*(0*q**2 + q**2 + 0*q**2 - 2).\nAnswer: q**5 - 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 5745440.\nAnswer: 1\/2872720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 74933, 5, -5, 0, -2.\nAnswer: -5, -2, 0, 1, 2, 5, 74933","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 1117 - 733 = 2*t, 5*c = -2*t - 1870. Which is bigger: -931 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 - 1126586660*w + 158649687811244450.\nAnswer: 2*(w - 281646665)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 46, -68.5, 25, 59?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 f when three letters picked without replacement from {s: 4, f: 3, y: 11}.\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 2, -1 in decreasing order.\nAnswer: 9, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**2 + 2*t - 2. Let c be b(2). Let q = c + 10. Suppose 13 = y + 5. What is the smallest common multiple of y and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**2 - 83*x + 80. Calculate w(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -91*t. Let g(p) = -12*p. Let v(k) = -7*k. Let w(u) = -4*g(u) + 7*v(u). What is r(w(o))?\nAnswer: 91*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (105\/(-45))\/(21\/(-27)). Solve 4*c + 3*v = -13 - 16, a*c + 27 = -4*v for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 7*p - 4. Let j(t) = -3*t**2 - 21*t + 10. Let x(i) = 2*j(i) + 7*w(i). Suppose x(k) = 0. What is k?\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37*l**6 - 415220*l**4 + 306863072*l**2.\nAnswer: -4440*l**3 - 9965280*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 r, 1 m, and 1 c when four letters picked without replacement from rnmncsn?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1152127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7030, 28219, 63500, 112873, 176338, 253895?\nAnswer: 345544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 38733 plus 4?\nAnswer: 38737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1978\/3869?\nAnswer: -1978\/3869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1303240 + 11444?\nAnswer: 1320234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 188556 and 18?\nAnswer: 565668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1046 is divided by 88?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4 - 1 + 0 - 5*o. Let n be (-4)\/6 - (-5)\/3. Let b(j) = -j - 1. Determine n*f(v) - 3*b(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 714?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 11:42 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*j + 1 = -16, -i - 2*j = -1. Let d be (-2 + i)*(-9)\/3. Suppose 2*u - d = -5. Solve -u*b - 24 = 1 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(1700) + 2 + sqrt(1700) + sqrt(1700))*4 + 5 + sqrt(1700)*-2)**2 + 0)*-6 + -5.\nAnswer: -1021020 - 15600*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18317 is divided by 1082?\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 2\/5, 7 in increasing order.\nAnswer: 2\/5, 7, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3645, -14155, -31523, -55743, -86809, -124715, -169455, -221023?\n\"Answer: m**3 - 3435*m**2 - 212*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 24 (b) -2\/5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -81 + 115 + 19 + -5.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-292)\/(-10))\/((33\/(-330))\/((-2)\/(-8)))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 - 2*t**2 + 4*t**4 - 51*t**4 + 4*t**3 + 43*t**4 + t as p*t**2 + z*t + g*t**4 + a*t**3 + q and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 111227846 by 2.\nAnswer: 55613923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -471874, -471833, -471792, -471751, -471710?\nAnswer: -471669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38027 and 4777574.\nAnswer: 52553314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 3 - 2 - 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p - 241 + 113 + 46 + 37 + 44.\nAnswer: 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m - 10. Let y be h(6). Let f(q) be the first derivative of -2*q + 2\/3*q**3 - y + 0*q**2. Differentiate f(k) with respect to k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and -1103844?\nAnswer: 662306.4","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*p + 157 + 6, 3*j + 51 = p. Let i(q) = 35*q - 37*q - 8 + 2. Calculate the remainder when p is divided by i(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2196, -2192, -2186, -2178, -2168, -2156?\nAnswer: -2142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 - -1220222112100111?\nAnswer: 1220222112100020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6)*z*z**(-3))\/(z\/z**(1\/7)*z\/(z\/(z**(-5)*z))*z) assuming z is positive.\nAnswer: z**(-41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**2 - 5*u**2 - 1 + 23*u**3 + 28*u - 24*u as w*u**3 + x*u**2 + v*u + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4072 - -986?\nAnswer: 4a28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: (35\/(-15))\/(4\/(-12))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 7*p + 45. Is 7 a factor of c(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 744 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 15 + 3 = 0. Let b(f) be the second derivative of 0*f**2 + 1\/90*f**6 + 0 + f + 1\/12*f**4 + 1\/18*f**u + 1\/20*f**5. Factor b(s).\nAnswer: s*(s + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g*g**(-1)\/g*g)))**39\/((g**5\/g)\/g*(g\/(g**(-7)*g*g))\/g) assuming g is positive.\nAnswer: g**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 = 23574\/34591?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 19*r**2 + 23*r - 25. Let f be s(20). Calculate the highest common divisor of 5 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -4. Suppose -h*g = -3*m - 14, -2*m + 4*m + 12 = 4*g. Suppose 0 = -u - m*u. Solve -5*v = 20, o - 2*o - 2*v - 4 = u for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*((z\/((z\/z**(3\/4)*z)\/z))\/z)\/z*z*z*z**(2\/3)*(z*z**1)**40 assuming z is positive.\nAnswer: z**(989\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 7*v**3 + 3*v**2 - 171*v - 174. Determine t(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + -3*sqrt(208)*-1 - (-3*(sqrt(208) + (sqrt(208) - 1*sqrt(208))) - sqrt(208)))\/(sqrt(324) - 1*(sqrt(324) - (1*sqrt(324) + sqrt(324)))) + 1.\nAnswer: 1 + 8*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42.969 + 0.031. Let s = -43.00039 + g. What is s rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220022 (base 5) in base 6?\nAnswer: 54440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-46)\/(-11) - 46\/253. Solve 2*d + 2*d = -c*p, -4*d + 6 = 2*p for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 28453717 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gguuzhuggvv. Give prob of sequence uzh.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*i - 3*z + 17, 8 = 2*z. Let f be 89*1\/(2\/i). Suppose -2*w - 31 + 114 = -3*x, 2*w - 5*x = f. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156821*a + 0 + 0 - 156794*a.\nAnswer: 27*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 9*p + 1. Let n = 619 + -622. Give a(n).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246*u - 40100 = 236*u. What are the prime factors of u?\nAnswer: 2, 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + j**2 + 2*j**2)*(-3*j + 2*j + 0*j) + (39*j - 9*j + 10 - 9)*(3*j**2 - 9*j + 9*j).\nAnswer: 88*j**3 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -2) + -15 + 13 + 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9272880 and 424.\nAnswer: 9272880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 485514 is divided by 161829.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1589.5 - 1590. What is the biggest value in m, 0.3, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -14*y + 480. Give l(35).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2696 (base 11) to base 4\nAnswer: -312211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 63883*w**5 - 2*w - 13532 wrt w.\nAnswer: 1277660*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2112)\/(-144144)*28\/8.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4509 or 1970?\nAnswer: 1970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3473 and 1541?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3740837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 391 - 1393 = 0. Let r = 2194 + o. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-110)\/(-4)*(-208)\/(-65)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 8 = 2*l, 0 = -2*p + 5*l + 8 - 28. Let g = 8 + -12. Let a be (g\/48)\/(15\/12). Which is smaller: a or p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4654 (base 13) to base 3\nAnswer: -111112121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*f + 3*k + 2, -2*f + 2 = 5*k. Is (-6 + (-9 - -71))*9*f a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287777?\nAnswer: 7, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -4 - (101 - 108)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.1870404 centuries?\nAnswer: 224.44848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(sqrt(5) - (-1*sqrt(5) + sqrt(5))) + (sqrt(19) + sqrt(57)\/sqrt(3) + -4)**2 + 2.\nAnswer: -15*sqrt(19) + 94","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/(-6)*(-15)\/10. Let h(t) = 247*t**2 + 3*t + 20. Let i(w) = 99*w**2 + 10. Let j(a) = 2*h(a) - 5*i(a). Give j(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 211, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65 and 15145.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9753 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 6 + 0*f**2 - 27\/4*f**4 - 2*f**3 - 5\/2*f**6 - 36\/5*f**5 + 0*f. Solve s(v) = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 - 3 = -6*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 23649*f. Let d(r) = 2*r**2. Calculate d(p(z)).\nAnswer: 1118550402*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2664 * -0.029.\nAnswer: 0.0367256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 + 39?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2788?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (17\/68)\/((-1)\/(-4)). What is the units digit of (d + -3 + 3)*217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 5*m - 40 = 0, 3*s - 9*m = -13*m + 1 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28978873?\nAnswer: 7, 11, 23, 16363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37 + 36 - 110 + 55*m + 39 + m to the form y + a*m and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000143534 rounded to 7 decimal places?\nAnswer: -0.0001435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v**4 - v + v - v - 3*v**2 + 0*v to the form c*v**3 + n + h*v + s*v**2 + k*v**4 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 151, 154, 161, 172, 187?\n\"Answer: 2*i**2 - 3*i + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c - 6*c + c)*(0 + c**3 + 0) + c**4 + c**4 - c**4 - c**4 + c**2 - c**2.\nAnswer: -11*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 776 and 19982?\nAnswer: 79928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 127105351393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, h: 4, p: 2, o: 1, c: 1, a: 1}. Give prob of picking 2 p.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -36*z**5 - 1412*z**4 + 2676*z**3 + 2068*z**2 - 2640*z - 656 = 0.\nAnswer: -41, -1, -2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzy when three letters picked without replacement from kykzyzzzzkzz?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 421719 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-4 + (1 - (-4 + 1))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**4 + 6 - 6 + (2*f**2 - 4*f**2 + 3*f**2)*(4*f**2 + 2*f**2 - 5*f**2) + 3*f**4 + 0*f**4 - 2*f**4 + 8*f**4 + 10 - 10.\nAnswer: 13*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1127*c + 1543*c - 327*c - 89034 = 0 for c.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211121020 - 22?\nAnswer: 211120221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0404 in 3, 13, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 34.48 and -5493.4?\nAnswer: -189412.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1818*x + 98*x - 158240 = 0 for x.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + 4\/5 - (-8)\/40. Let q(p) be the second derivative of 1\/10*p**5 - 5\/6*p**d + 7*p + 7\/3*p**3 - 3*p**2 + 0. What is w in q(w) = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*(-25)\/2*(-23)\/(-230). Suppose 61*u = 56*u - 5, -f*i = u - 27574. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 8*q**2 + 6*q - 1. Suppose 3*h + 1 = 7. Let u(s) = 2*s**3 + 17*s**2 + 13*s - 1. Let x(c) = h*u(c) - 5*l(c). Determine x(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 6*o**2. Let f(i) = 17*i**2. Calculate f(z(p)).\nAnswer: 612*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 4*y - 7. Let m be (-274)\/6 - (-24)\/36. Let t = m + 32. Let b be (-4*1 + -1)\/(t + 14). Determine v(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -7. Let k be -5*(-16)\/(-84)*(-7)\/p. Is 0 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 55*b. Let y(t) = 7*t. Let a(j) = 4*v(j) - 33*y(j). Suppose -4*p = -20, 5*f - 2*f = 2*p + 2. Let x(w) = f - 5 - 3*w + 1. What is x(a(u))?\nAnswer: 33*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((840\/(-1425))\/(-7))\/(((-6)\/(-8))\/((-45)\/8)).\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -18976, 4 in ascending order.\nAnswer: -18976, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -11*a**2 - 7. Let g(m) = 147897*m + 2. Determine g(q(d)).\nAnswer: -1626867*d**2 - 1035277","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f - 2*f + 2062 - 2063 - 7*f**2 - 9*f**3 in the form j*f**3 + a*f + b*f**2 + g and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 67 and 1608.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (3 - 3) + 15. Suppose 17 + v = 5*x. Solve x*g - 10 = g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j**3 - 4*j**3 + 10*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 28099*q**2 - 28150*q**2 - 2*q + 2.\nAnswer: -51*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -595078, -1188200, -1781322, -2374444?\nAnswer: -2967566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 10*y + 18133 - 17979, -2*p = 5*y - 22 - 61 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*sqrt(272)*1 + (0 + 1*sqrt(272) + sqrt(272) + -1 + -1 + sqrt(272))**2)*-5.\nAnswer: -12260 + 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, g: 2, z: 1}. What is prob of picking 1 z and 1 g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 5*a**2 + a - 28. Calculate y(7).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -810 = 73*c + 603 + 47 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 37716 and -0.0834.\nAnswer: -3145.5144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -5, -1, -4, 17, 2166 in increasing order.\nAnswer: -5, -4, -2, -1, 5, 17, 2166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19 + 7814?\nAnswer: 7832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*g - 24 = -p, 5*g = 2*p - 21. Suppose -1 = -2*c + p. Suppose -3*b = -c*b - 4. Solve -b*f = -0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 62 = 5*k, -7*c + 2*c = 3*k - 54. Let a = k + -13. Solve -2*n - 2 + a = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r + 3*r + r - 3 to the form p*r + a and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -b + 5, -2*s + 5*b = -0*s + 8. Suppose 5*w - 3*w = 4. Calculate the lowest common multiple of w\/(-6) - (-140)\/15 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1799500400?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 3*q = -n + 8, 0 = -4*n + q - 7. Let f(t) = -t**3 + 3*t**2 + 4*t - 3. Let w(b) = -b + 1. Give n*f(i) - 3*w(i).\nAnswer: i**3 - 3*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6058 is divided by 276?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 3712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 176 + -166. What are the prime factors of (2 + 1019)*12*p\/120?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(24\/(-333))*((-6)\/7)\/((-3096)\/4816)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 211081 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 420?\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -5 (b) -63 (c) -7\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -p**3\/2 + p. Let x(z) = 0*z - 3*z + 4*z. Give 2*u(o) + 5*x(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -5*k + 1 - 24, 5 + 80 = 5*k - 5*l for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*w + 7*w, 3*n + 2*w = 505108. Suppose n - 36026 = 71*o. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -104456*i**3 + 107167*i wrt i.\nAnswer: -626736*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60340796129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 6:32 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p - 1. Let a(t) = 3*t - 9. Let q(u) = -1. Let v(i) = -a(i) + 5*q(i). Let g(c) = -6*v(c) - 17*x(c). Let w be g(7). Solve -2*r + w + 10 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (2 - 5) - -3. Suppose 6 = z*m + 5*q - 2*q, 0 = 5*m + 5*q - 15. Suppose 6*k = 2*k. Solve k = -n + u + 8, -19 = -2*n + m*u + 1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 16. Suppose 238*n - 215*n = -23. Which is the closest to l? (a) 3\/11 (b) n (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2085, 4223, 6361, 8499, 10637, 12775?\n\"Answer: 2138*p - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 d, and 1 u when four letters picked without replacement from {u: 1, b: 1, p: 2, l: 2, s: 2, d: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009317 rounded to five dps?\nAnswer: 0.00093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fi when two letters picked without replacement from nfjnjnjnnfnffiinji.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -684 (base 12) to base 2.\nAnswer: -1111000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 14, 3686, -3\/7 in increasing order.\nAnswer: -3\/7, 1\/2, 14, 3686","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6*((-133)\/(-21) + -6). Let p(f) = -5 + 7*f + 2*f - u*f. Give p(6).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7846 - 5241. List the prime factors of q.\nAnswer: 5, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1434 or 35888?\nAnswer: 35888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5972 - 3180. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77797613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -212, 0.5, -4.81?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2433 - -2462. Let j be u\/2 - 8\/16. Let l = -58765\/24 + j. What is the common denominator of l and 101\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 144*x**2 - 445*x - 274. Calculate the remainder when 1913 is divided by z(-147).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - c - 204 = -3*n, 2*c = n + 121. Calculate the remainder when 161 is divided by c.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -5*o + 4240005, -3*r + 7*r + o = -8479999. Round r to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u. Let w be h(3). Calculate the remainder when 4\/((-388)\/(-96) - 4) is divided by -2*15\/6*(w + -2).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 581 = 64*h + 279 - 466. Let c = -49 + 102. Suppose 3*k + 2*b = 18, 16 = -5*k - b + c. Calculate the greatest common divisor of k and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -10*z**3 + 4*z**2 - 28*z - 45. Let c be i(-4). What is the highest common factor of c and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10 - 34810652?\nAnswer: -34810662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -7*p + 149. Let h(g) = -18*g**2 + 24*g + 8. Let d(x) = -2*x**2 + 3*x + 1. Let u(q) = 8*d(q) - h(q). What is a(u(b))?\nAnswer: -14*b**2 + 149","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w - 3963410 - 3963331 + 7926741.\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 43\/4 of a millennium?\nAnswer: 1075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 7*m**2 - m + 10. Let o be z(7). Let s be 12 - (-2)\/(-3)*o. Let u = -6 + s. Sort 2, -3, u.\nAnswer: -3, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -158 divided by 713103.\nAnswer: -158\/713103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2446 - -8255. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hn when two letters picked without replacement from nyyyrnvvrrynhnwvn?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 440 + -312. Let k be -4*4\/l + 2114\/16. Let r = 35 + -23. What is the greatest common divisor of r and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-180)\/25*(-44)\/(1936\/110)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 33110569 or 33110571?\nAnswer: 33110571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**3 - 3876*b**2 - 4720*b?\nAnswer: -6*b - 7752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*p = 27*p + 3874. Let q(j) = -27*j - 6. Let w be q(-4). Suppose w + p = 5*z. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 + 316 - 14*c**3 - 316)*(12*c - c**2 - 2*c + 2*c**2).\nAnswer: -14*c**5 - 137*c**4 + 30*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4897743, -4897744, -4897745, -4897746, -4897747, -4897748?\nAnswer: -4897749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 13*q + 15. Let w be s(-13). Suppose 0 = 3*t - 0*t + w, 4*b - t = 13. Solve 2*m + 6 = -b for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 1:21 AM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 2\/11 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 275540.1nm to micrometers.\nAnswer: 275.5401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5*z**2 - 13*z + 3. Let v(m) = 13*m**2 - 27*m + 5. Determine 9*r(l) - 4*v(l).\nAnswer: -7*l**2 - 9*l + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 7 - (196 - 187).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 11 = 2*y + 2*j, -3*y + 3*j = -21 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*z + 5. Suppose -2*j + 3*v - 1 = z, -5 = 5*j - v. Let y = 20351 + -20353. Is j at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28165399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 572*o - 576*o + 7*z = 25, 0 = 2*o + 2*z - 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*o**2 - 3*o - 19*o**2 - 133*o**2 + 8*o to q + g*o**2 + b*o and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - -27) + (-96 + 86 + (1 - 0) - -7).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/2)\/(7\/(-322)). Suppose 0 = -q - 80 + f. Let x = -35 - q. Calculate the remainder when x is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)*2*-6 - 6*sqrt(66)*-1)\/(-1*sqrt(600) + sqrt(24)\/sqrt(4)*-5).\nAnswer: 2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ett when three letters picked without replacement from {p: 4, t: 2, e: 1, b: 8}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 + 24*f**2 + 32*f.\nAnswer: 4*f*(f + 2)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(720) + (sqrt(5) - (4 + sqrt(5)) - sqrt(5))*1 + -4)*1 + 0)**2.\nAnswer: -1136*sqrt(5) + 25269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/84 and -101\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j**2 - 16*j**3 + 3 - 12*j**3 - 13*j**3 + 4*j - 1. Suppose 0 = o - 5*o - 8. Is h(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4*-17)\/(-1) - 3. Let z = 29 - 68. Let u = 65 + z. What is the greatest common divisor of u and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297386183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -798191 rounded to the nearest 1000?\nAnswer: -798000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*c + 124577 - 33283. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -313323 (base 4) to base 15\nAnswer: -10d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0129 + -0.4129. Sort -0.069, f, 5, 2 in descending order.\nAnswer: 5, 2, -0.069, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - 22. Let z be 1134\/(-231) - 24 - (-2)\/22*-1. Which is smaller: q or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0677465777 to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aakloaalkllckl. Give prob of sequence okca.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*(sqrt(209) + -2*sqrt(209) - sqrt(209)))\/(sqrt(11) + sqrt(1331)*-1).\nAnswer: -3*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1729 and -12.\nAnswer: 20748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1\/1927 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u**4 + 273*u**3*x - 6*u**2*x + 197*x wrt u.\nAnswer: 48*u + 1638*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -23*a**2 - 10*a - 11. Let y be p(-4). Let b = 389 + y. Calculate the remainder when b is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68480 * 9.1\nAnswer: 623168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h - 8. Let v(j) = -j - 7. Let d = 199 - 202. Determine d*o(s) + 4*v(s).\nAnswer: 2*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -144*i**2 + 9*i - 251. Calculate u(-4).\nAnswer: -2591","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1852, -95, -5378, -15665, -32624, -57923?\nAnswer: -93230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3686887525?\nAnswer: 5, 147475501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 92123.73 tonnes in grams?\nAnswer: 92123730000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 319670627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j**2 + 8*j - 3. Let q(t) = 3*t**2 + 9*t - 3. Let o(i) = -5*q(i) + 4*v(i). Determine o(12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 - 28. Let t be (-2)\/h*12\/(-1) - -1. Suppose 1 - t = -j. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2 - 1. Suppose 0*u + 3*c = 3*u, -15 = -v*c. Solve -3*i - 17 = -u for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2025263, -4050534, -6075807, -8101082, -10126359?\nAnswer: -12151638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 0, -2 in descending order.\nAnswer: 4, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 353b3 - 0?\nAnswer: 353b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 5*k**2 + 1. Let j be u(-5). Let b be 72\/((-15)\/9 + j). List the prime factors of 2\/8 - b\/16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*((-567)\/3645)\/(245\/(-15)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -241 + 627. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 840600 to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*11549 - (-2 - (-6)\/3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 485788.\nAnswer: 2, 121447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {t: 3, j: 3, g: 9, d: 2, z: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 705, 1453, 2287, 3249, 4381, 5725, 7323, 9217?\nAnswer: 11449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ammm when four letters picked without replacement from {m: 3, a: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29.8 - -21.8. Sort -2\/5, o, -0.5 in increasing order.\nAnswer: o, -0.5, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 + 192 = 11*q + 65. Solve -10*r - 4*u - q = -8*r, -r = u + 7 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 5:38 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.5 (b) -0.2 (c) 229 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -6*c - 1. Let v = 77 - 71. Let w be 156\/(1 - (v - 4)). Let f be 13\/(w\/8) - 17\/(-3). Let g(a) = -7*a - 1. Give f*g(y) - 6*q(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 4*r**2 + 96*r - 11. Let u be t(-24). Sort -5, -1, u, -2.\nAnswer: u, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 24097102, 48194203, 72291304?\n\"Answer: 24097101*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a factor of 9603794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.2 - 3. Let y = -0.4 - -0.2. Let g = y - -0.3. Sort g, 5, r in ascending order.\nAnswer: g, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*n = 136*n - 280. Calculate the highest common factor of n and 108.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(567)*5)**2 + -5) + ((sqrt(567) + sqrt(567)*-1)**2 - sqrt(567)) + 4 + (sqrt(567) - (sqrt(567) - (sqrt(567) + -1)*1)) + -5)*-6.\nAnswer: 255072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9052 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i + 0*i - 10*i + 7*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21228 and 37149.\nAnswer: 148596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -8. Let l(n) = -n**3 - 4*n**h + 0*n**2 + 2*n**3. Let d be l(4). Solve d = -3*t - 0 - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1347 - -5851. What is the thousands digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.88 + -6. Let s = j - -0.12. Do s and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -22.7, 5, 4, 1\/28 in descending order.\nAnswer: 5, 4, 1\/28, -21, -22.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 774 or 773?\nAnswer: 774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15.4 - -16.4. Let b = -3.7 - -1.7. Let w = -10.5 + 11. What is the fourth smallest value in 5, w, b, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 9*g - 1. Let r be l(-9). Sort r, 3, -34 in decreasing order.\nAnswer: 3, r, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c + c - 3*c. Let u(m) be the first derivative of -m**3\/3 + 9*m**2 - 3186. Calculate u(a(t)).\nAnswer: -t**2 - 18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1530954 - 37418330?\nAnswer: -38949284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/2*(-4)\/8. Let b(m) = -m**3 + 79. Is b(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-204)\/4*1\/(-3). Suppose 19*s - f*s = 862. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -9*f**2 + 8 + 25*f**2 - 7 - 6*f. Is m(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (223\/((-1535355)\/(-270)))\/((-2)\/36).\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -31, -748, 2, 3, -1 in descending order.\nAnswer: 3, 2, -1, -3, -31, -748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -16. Suppose 4*g = 17 + v. Suppose -g = -5*r + 16. Solve -r = -4*d - 13 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -4, 10, 4, -84.\nAnswer: -84, -4, 4, 10, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q**3 + 6*q**2 - 5*q - 20. Let o be v(-6). Let s = -386 - o. Calculate the highest common factor of s and 168.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -58 - (-849 - -823)) + -12 + -1.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-2))\/((-208)\/(89024\/28676))\nAnswer: -3\/134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18437 or 2\/245?\nAnswer: 2\/245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3756516 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 5:11 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3\/292 - 551\/3212. Which is the fourth smallest value? (a) 0.1 (b) -1 (c) 1\/7 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*c - 44*c - 3*c + (1 - 4 + 5)*(0 + 3 - 1)*(0*c - 2*c + 4*c)*(1 + 2 - 2) + (-47*c + 16*c - 8*c)*(3 + 0 - 1) to n*c + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*j + 15*j + 53*j - 2416 = -27*j for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = 2*u + l - 108, -2*l = -u + 12. What is the smallest value in u, 6\/5, -0.043, 0.5?\nAnswer: -0.043","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 7*g + 1. Let w(j) = 15*j + 3. Let p(q) = 4*w(q) - 9*y(q). List the prime factors of p(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1594 - 1494.9. Let d = j + -99. What is the second smallest value in 2, -3, -7, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 144829?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a + 730 = 691. Solve 19 = -k - 2*k + 4*j, 2*k = a*j - 13 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31551 (base 7) to base 9\nAnswer: 11656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.21 and -1.145.\nAnswer: -0.24045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*k = -3*m + 167*k - 44, -3*m = -6*k + 3*k + 72 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49519925 or 49519924?\nAnswer: 49519924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.34 - 0.19. Let q = 0.15 - t. Which is the closest to -0.1? (a) q (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 2200121?\nAnswer: -2200102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002358 rounded to 4 decimal places?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3869721 + 899451 = 108*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*l + 4*l. Let b(k) = -k - 2. Let p(r) = -r - 1. Let i(f) = 3*b(f) - 5*p(f). Calculate the remainder when i(4) is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10370 and 170.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64803 is divided by 720.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mfl when three letters picked without replacement from xflltfllml.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-7) - 2\/(-7). Let l = 1\/74 + -159\/814. Which is the nearest to 1? (a) r (b) l (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1938303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-2)*i**(-10))\/((i\/((i*((i\/((i*i**(34\/7))\/i))\/i*i)\/i)\/i))\/i*i**25) assuming i is positive.\nAnswer: i**(-258\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = h - 22*x + 24*x, 2*h + x + 2 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1051 is divided by 88?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1645 is divided by 165.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 155603191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 - 3*r**3 + 8*r - r - 4*r + 3.\nAnswer: -3*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-77)\/(-110) + (-2)\/10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 5 = 2*k - 21, -3*h - 18 = 3*k. Let l be ((-18)\/12)\/(1\/k). Factor -c + c**2 + 6 - 5 + l*c.\nAnswer: (c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 25 + 338 = -3*x, n = -3*x - 293. Let c be ((-124)\/x - 1)*(-44)\/(-28). Let m = c - 5\/8. Put -4, -1\/7, m in descending order.\nAnswer: -1\/7, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5054906?\nAnswer: 2, 2527453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 3*g + 1. Let n be (5\/3)\/((-16)\/(-144)). Let r = n + g. What is the smallest common multiple of r and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12876 and 1033188.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 0.5, -30, 5 in descending order.\nAnswer: 5, 0.5, -3\/5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -25, 11, 61?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 2568210?\nAnswer: 20545680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-4))\/((-4)\/(-40)). What is the units digit of 2*1 + m + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/2)\/(-10 + 21). Sort -2, 2\/11, b, -5.\nAnswer: -5, -2, 2\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 76 and 32.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + (-6 - 0) + 35. Find the common denominator of 8\/(-1 + (-36)\/(-8)) and (-356)\/o*(-12)\/(-9).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*w + 78 = b, 0 = -5*w + 15. Let n = 209 + -2. What is the highest common factor of b and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5 = 3*b - 2, 3*d + b - 9 = 0. Let j(r) = -r**2 + 1. Let n(i) = 9*i**2 - 2*i - 7. Let u(l) = 6*j(l) + n(l). What is u(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -277086, -554200, -831314, -1108428?\n\"Answer: -277114*z + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 6*j**2 - j + 1. Let q be 1*-3 - (69 - 35). Let v = q + 31. Calculate a(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 3:36 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from irrrirrrrrrrrriirrri. Give prob of picking 3 i and 1 r.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1556392 - -17137660\/11. Let l = 1574 - g. Calculate the common denominator of l and 35\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2 + 7*l**2 + 9*l**2 + 49*l**3 - 3 - 23*l**2 wrt l.\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -425708, -425693, -425654, -425579, -425456, -425273, -425018, -424679?\n\"Answer: 2*l**3 + l - 425711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 197\/1950 and -121\/13000?\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23407417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*w - 4*w**3 + 19*w + 4*w**3 - 1 + 2*w**3 to l*w**3 + q*w + v*w**2 + t and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102 (base 5) to base 13.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 672212143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 2*v**3 + 131*v. Let f(a) be the second derivative of a**4\/12 + a. Calculate f(x(j)).\nAnswer: 144*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -373 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h - 4. Let o = -7 + -4. Let l(c) = -8*c + 12. Let m(i) = o*x(i) - 4*l(i). What are the prime factors of m(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131107601 to the power of 1\/3, to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 364 and 58?\nAnswer: 10556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*r - 8239 = -690*r for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18354 or -260?\nAnswer: -260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 2*q + q + 2)*(-10972 + 1276 - 7280 - 2310).\nAnswer: -19286*q - 38572","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101100101122 (base 3) to base 9.\nAnswer: -1340348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (6 + -5 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-224)\/42*63\/(-42) + 436\/(-54).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/200 and -97\/24920.\nAnswer: 124600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**5\/3 - 86*h**4\/3 - 244*h**3 - 828*h**2 - 1206*h - 594 = 0.\nAnswer: -33, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4505757 to the nearest integer?\nAnswer: 2123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 + -24. Let z = 14.4 - r. Round z to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -1748?\nAnswer: -174b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(5\/8)*g)\/(g\/(g*g**(-2\/11))))\/((g**(-10)\/g*g)\/g)**(1\/3) assuming g is positive.\nAnswer: g**(1349\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 299 by 1.\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 16. Let f be -2 + o + 0 + 1. Let j(s) = -2*s**2 + 1. Calculate j(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 0. Let k = 11 - h. Which is the second biggest value? (a) k (b) 4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63127328 to the nearest integer?\nAnswer: 7945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 2*t. Let o(v) = 3*v**2 - 38*v - 148. Let f(g) = -4*n(g) - o(g). Let y be f(-24). Solve 2*l - 12 = -h, -h + 3*l + 8 = y*l for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 10:29 AM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 f when two letters picked without replacement from ffaf?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 2)*(-1 - 148) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-267)\/178)\/((-1)\/(-12)*(-45)\/5710). Let t(u) = 1683*u**2 - 2. Let n be t(-2). Suppose 3*j + r = k + n, -3*j = 4*k - 4431. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -436\/15 or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 2 + 18. Let y(l) = l**2 - r*l**2 + 3*l**2 + 3*l**2. Let w(x) = -2*x + 2*x + x**2. Give y(w(i)).\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a + 12*a + 4*a.\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37579*f - 45567*f - 75420*f.\nAnswer: -83408*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 187, 180, 175, 172, 171, 172, 175?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 10. Let b(x) = -x**2 - 4. Let r(t) = 5*b(t) - 2*s(t). Let v(w) = -w - 18. Give v(r(y)).\nAnswer: 3*y**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 4:02 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 41204, 41648, 42096, 42548?\n\"Answer: 2*x**2 + 438*x + 40764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)\/sqrt(4))\/sqrt(2) - ((2 + sqrt(11))*2)**2)*3.\nAnswer: -180 - 45*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p - p = 42. What are the prime factors of p\/(-7)*-1 + 1206\/21?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2194403.29472003 take away 0.1?\nAnswer: 2194403.19472003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5546165303 to the nearest integer?\nAnswer: 1770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 10*t + 3200. Give n(61).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19797, 39597, 59397, 79197, 98997, 118797?\nAnswer: 138597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63 - 41. Suppose -4 + 8 = 4*i. Let j = i + 7. What is the remainder when n is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 7?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 79297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 9*a + 7. Let w be ((-8)\/10)\/(8\/(-60)). Suppose 5*y = 3*y + w. What is the units digit of l(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3905, -15368, -34327, -60788, -94757, -136240?\nAnswer: -185243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.49081 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120212210 (base 3) to base 9.\nAnswer: 16783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 237137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gmmgmmm. Give prob of sequence mgmm.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 10 = b. What is the greatest common divisor of 50 and b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 7*v**2 + 105*v + 785. What is t(-8)?\nAnswer: 393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 0*f**2 - 2*f - 5*f + f**3 + 6 - 2*f**2 + 17. Let r = 57 + -51. Is 16 a factor of v(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47178?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 16*o + 38. Suppose 3*c + 22 = 2*c - 4*p, -5*c + 5*p = 85. Let w be x(c). Solve 2*u - 1 = d + w, 0 = d - u for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**2 + 13*h + 2. Let z be d(6). Let l be (-3)\/(-1) + (12 - z). Is 7 not equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - ((4 - 21) + 25)) + (0 - 29)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10\/695951 + 66104209814\/2087853. Let h = 32508 - z. Let y = 863 - h. Find the common denominator of -107\/10 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3030034222 (base 5) to base 9.\nAnswer: 12421351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 205 - 163. What is the greatest common factor of x and 483?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a tonne in kilograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -87 + 151. Let o = 9 - 7. Suppose -n + 2 = 0, o*y - 2*n + j = 5*y. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - -1 - (13 - 12)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25? (a) 4 (b) -153392 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 20, 86, 196, 350?\n\"Answer: 22*o**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -7*l**2 - 7*l - 6. Let w(r) = r**2. Let q(f) = k(f) + 6*w(f). Does 6 divide q(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 32 and 1.3.\nAnswer: 41.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39 - 23 - 507*q**3 - 6*q**2 - 20 + 3*q**2 wrt q.\nAnswer: -3042","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 5*f + 1. Let q be k(-1). Sort -1, 0, q, 4 in decreasing order.\nAnswer: 4, 0, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 5*d - 6. Suppose 30 = 4*i + 3*t, 3*i + 0*t - 16 = t. What is h(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 4:46 AM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 12 = -5*a. Suppose k = -3*k + 16. Let l(q) = -k + a + 3 + q. What is l(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 0 + 2*k**2 + 1 - 34 to the form l*k**2 + b + w*k and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y**3 + y**2 - 2*y + 1. Let v be o(1). Suppose 22 = -v*z - 13. Let s = z - -5. Which is the second biggest value? (a) -0.5 (b) s (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n - 3 - 3 + 1 + 0*n. Calculate k(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -271 - -275. Solve 0 = -a*y + 2*x - 18, y + 2*x = -y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 5 + 18*z**2 - 12 to the form v + s*z + l*z**2 and give l.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1105\/(-16) - 0 - 1. Let c = 72 + r. Let v = -2\/38877 - 4237549\/855294. Find the common denominator of c and v.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 63 = 6*t. Suppose -2*l = -3*s + 8, -s = -4*l - 6 - t. Let q = -1 + 6. Solve q*o + 2 + 3 = s for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -199815, -199823, -199831?\nAnswer: -199839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68440 + -23955. Suppose -4*t = 4*n - g - 7343, 2*n - 12961 = -t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.8 + 4.8. Let c = 0 + a. What is the biggest value in -0.4, c, -0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 l when four letters picked without replacement from sxqxcqcswsls?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3*t = -0*i + 215, -5*i = 3*t - 271. Calculate the greatest common divisor of 7 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599697.5 decades in months?\nAnswer: 71963700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 4*f + 1086, -2*x = x - f - 1629. Let g = x - 361. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (5 + (0 - 1)) - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*j = 246*j + 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5789 - 28?\nAnswer: -57b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (3 - (0 - 2)) - -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*h - 2. Suppose 3*q = -6*s + h*s - 6, 2*q + 4*s = -12. Let r(a) = -2*a + a - a**q + a. Let x(v) = 2*v. Give r(x(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 11:04 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + 1*(sqrt(95)\/sqrt(5) + -3)**2) + -4.\nAnswer: -104 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*h = 4*v + 245, 3*v + 780 = 3*h. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, z: 3, m: 1, n: 10, j: 2}. What is prob of sequence jnm?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/15)*q)**(-8) assuming q is positive.\nAnswer: q**(-136\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47147192?\nAnswer: 2, 5893399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8.78185 in -412, 3, 2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3681 in -9.5, 3, 0.2?\nAnswer: -9.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/((s\/s**(-5\/6)*s)\/s*s)*s*s\/(s\/s**(-20))*(s\/(s**(-14)*s)*s)\/s**(-1\/6) assuming s is positive.\nAnswer: s**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -61*w + 17*w - 440 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 2*y**2 + y. Let k be c(-2). Calculate the remainder when (0\/k - 50)*-1 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 202*l**2 + 0 + 25*l**3 + 17*l + 230*l**2 - 69*l - l**4.\nAnswer: -l*(l - 26)*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 7 = -4*z. Let t be 3 + (-5)\/(-1) + z. Suppose -80 = -0*j - t*j - 2*x, 4*j = 4*x + 36. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0961320826 minus -2.845?\nAnswer: 2.7488679174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 428694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 825518 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4827?\nAnswer: 3, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*m - 8, 788*m - 789*m - 5*a - 20 = 0. Solve -5*k + 18 = g, 3*g + 1 = m for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (107\/((-32635)\/122))\/(3\/195).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13031403 (base 5) to base 2\nAnswer: -11111000001111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 71033737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 200.07 + -201. Let i = -20.91358928 - -19.98359. Let l = f - i. What is l rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -o**4\/4 - o**3\/2 + 18*o**2 + 6*o + 44. Let z(i) be the first derivative of w(i). Factor z(d).\nAnswer: -3*(d - 3)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**3\/7 - 206*g**2 - 8590*g\/7 - 7150\/7 = 0. Calculate g.\nAnswer: -715, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276*h + 2 = 281*h + j, -6 = -2*h - 3*j. Solve h = 13*g - 5*g - 32 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/20 and 107\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3115504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -176106 (base 12) in base 5?\nAnswer: -100421002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55835 - 5583583\/100. What is the common denominator of i and 113\/60?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b**(25\/4)*b))**(3\/8) assuming b is positive.\nAnswer: b**(-63\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-2))\/(-2))\/((-25)\/300)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*(2 + (sqrt(33)\/(-1*sqrt(147)))**2).\nAnswer: 256\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 231 and 131901.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 0*j - 30. Let k(p) = -p**2 - 6*p. Determine k(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 4*j - 26. Let s be 8\/(-3)*3\/(-2). Suppose s*c - 144 = 116. What is the highest common divisor of c and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 112 - 111. Which is the fourth smallest value? (a) -0.9 (b) x (c) 0.5 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 10*c + 116. Let p be b(-11). Let f be (-51)\/(-9) - (-4)\/12. What is the greatest common factor of f and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/((-20)\/(-8)*2). Let j be (44\/(-21) - -2)*-3. Sort 0, j, m, -2 in ascending order.\nAnswer: -2, m, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 142, 277, 486, 793, 1222, 1797?\nAnswer: 2542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(330\/21))\/(9\/((-36)\/(-1)))\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1723 - 1723. Solve -5*s + 2 = -3*l, 4*s - l + 4 - 7 = t for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 - 37. What is the smallest common multiple of t and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) 0.0613 (c) 80 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c + 1. Let g(z) = z + 2. Let t(k) = -3*g(k) + 2*h(k). Calculate t(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -o**2\/3 + 1568*o - 1843968 = 0.\nAnswer: 2352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, d: 6, g: 3, t: 2, h: 1, y: 2}. Give prob of picking 1 q, 1 d, and 1 g.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 32 and 9.13?\nAnswer: 292.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*c - 3*c. Let l(d) = d**3 - 5. Let k be l(0). Let v = 12 - k. What is the remainder when v is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1373569*p**3 - 25*p - 18411.\nAnswer: 8241414*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -23463819?\nAnswer: -23463819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4465 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -515 + 2526306?\nAnswer: 2525461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**2 + 4*y. Let z(u) = 52*u. What is w(z(v))?\nAnswer: -5408*v**2 + 208*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 33 = 3*s - m, 3*s - m - 26 = 0. Let x(r) = 11 + 4*r - s*r - 11. Let y(d) = -2*d**2. Give x(y(g)).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*r + 0*r + 40*r**3 + 40*r**3 + 10*r**2 + 11*r wrt r?\nAnswer: 480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 3 - 2349\/748) + (130\/(-221))\/(-5)\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5104 = -23*m - 5357 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4*c = 3*p - 68, -2*p - c = -26. What is the greatest common divisor of p and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101100 (base 2) in base 15?\nAnswer: 2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 153942, 307913, 461914, 615945, 770006, 924097, 1078218?\nAnswer: 1232369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21085, 20551, 20017?\nAnswer: 19483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001330956 rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 + -0.4. Let k = -0.6 - w. Sort k, -2\/9, -1 in descending order.\nAnswer: k, -2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r + 471*r**2 - 3*r + 322*r**2 + 5*r + 300*r**2 - 1109*r**2.\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of 7*c**4\/12 + c**3\/6 - 5*c. Find the second derivative of n(h) wrt h.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o**2 - 4*o - 3. Let r(q) = -9*q**2 - 11*q - 8. Calculate 8*b(p) - 3*r(p).\nAnswer: 3*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-1))\/12)\/(((-68)\/144)\/17)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 9 = -g. Let l be 2\/(-7) - 1392\/(-21). Calculate the greatest common factor of l and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 6 + -22 + 19 - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193655039?\nAnswer: 2909, 66571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3145596 a multiple of 1252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*i + 46*i + 120*i - 2037 = 0 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 19450381 from -2099.\nAnswer: -19452480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.8, 11542656, -5.\nAnswer: -5, -1.8, 11542656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 6*k + 7. Let f be g(-7). Let j(u) = u**2 - 64*u + 976. Let s be j(39). Solve -9*w - s + 37 = f for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/44)\/(2905\/830)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 3*m + 3. Let d be r(3). Solve 5*z - 2 - d = -5*f, 0 = -3*z + 2*f - 17 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 17*p + 14. Let b be w(-15). Calculate the greatest common factor of 11 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 23311823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 63 = -17. Suppose -3*p = 5*t - x, 2*p - 4*t + 9*t - 10 = 0. Let r(b) = -p*b**2 - 3*b**2 - 2*b + 1 + 22*b**2. Determine r(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -12\/629 (b) 2\/9 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 296619 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3260 at least as big as 3251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153400\/9971 + (-15)\/39.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -65?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 3*p**2 - 3*p - 25. List the prime factors of z(-16).\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26155547 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 16b7 (base 16) to base 13\nAnswer: 2854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2 - 5. Solve -i - 3 = 4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*t**3 + 165*t**3 + 177*t**3 - 526*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -7*c**4\/6 + c**3 + 7*c**2 - c. Let x(f) = 9*f - 2. Determine 3*w(h) + 10*x(h).\nAnswer: 6*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -168978*z**2 + 168977*z**2 - 3265*z - 65 + 63 to the form t + m*z**2 + x*z and give x.\nAnswer: -3265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 120879126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*v = -30. Suppose -3*a - 21 = x + 2, 2*x + v*a = -41. Let p(r) = -2*r**2 - 19*r + 6. Is p(x) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16383093*z**3 - 12890*z**2 - 4*z?\nAnswer: 98298558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -25, -2*h - r = r + 58. Let n be h\/102*1\/2. What is the third biggest value in 0.5, n, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -1 - 8. Suppose 3*a = a + 18. Is a not equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p + 18934 - 18703 = 0 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 23. What is the highest common divisor of 189 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 16\/49?\nAnswer: 16\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1795685303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4608 = 58353*s - 58389*s for s.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13706 and 42.\nAnswer: 41118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**3 - 4746*r**2 + 38187*r + 42930 = 0. What is r?\nAnswer: -1590, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + h = -49, -3*h = -2*r + r + 21. Suppose -3*z = 4*i - 300, 3*z - 76 = -i + 2*z. What is the greatest common divisor of i and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - 5\/((-150)\/(-54))*-15?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 217 or 208?\nAnswer: 208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*a = 22*a - 126 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -1136*d + 1145*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305*c**2 - 299*c**2 + 92*c + 5 + 606*c**2 - 5.\nAnswer: 2*c**2 + 92*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2629 - 1376 + 13081 = 1876*b - 10054 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 191543.5 to the nearest 10000.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1187567898 divided by 3.\nAnswer: 395855966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -106 not equal to -159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 5*w + 5. Suppose -9*d = 50 - 5. Let m(x) = -x**2 + 4*x - 6. Give d*m(j) - 6*q(j).\nAnswer: -j**2 + 10*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1120\/(-18)*(-16)\/(-20). Let r = 50 + f. Let c = -42 + 37. What is the biggest value in c, 2, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 2, f: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1716 - 4722 = -104*j + 5730 for j.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 + 1)*(3 - 3 + c)*(11*c - 18 + 18) in the form o*c + j + h*c**2 and give h.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2221376855 to the nearest integer?\nAnswer: 1305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-681 - 176 - 73)*(-2*l + 5*l - 5*l) to c*l + f and give c.\nAnswer: 1860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h + 2. Let a be x(-7). Suppose 324 = -a*m + 13*m. Suppose 0 = -2*n + 5*q + 52 + m, 3*q = -3. What is the remainder when n is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 44 = 74. Suppose 0 = u + c - 12. Solve -4 = -2*n + 2*i, 5 = 2*n - 5*i - u for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**5\/6 - w**4\/3 + 35*w**3\/6 - 46*w**2\/3 + 46*w\/3 - 16\/3 = 0 for w.\nAnswer: -8, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 22, 10, 2\/11, 4\/9, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42128736 to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2569 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 10*p**2 - 10*p + 13. Calculate g(-8).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -27 + 0 + -8 + 61\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**5\/20 + 5*m**4\/2 + 29*m**3\/6 - 17*m**2 - 35*m + 3. What is the hundreds digit of r(-28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 i, and 1 y when three letters picked without replacement from nyypgiw?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -55*p - 94*p - 24*p + 1082 - 1083 as v*p + b and give v.\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 5.6, 1\/6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -3*d + 51, d = -2*t + 2*d for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 2*n - 10. Let i be (8\/(-6))\/(n\/6). Calculate the highest common factor of i and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1118 - 975*q**2 - 1118.\nAnswer: -975*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31)\/(-62)*(-4)\/14*(-7)\/(28 - -7)?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 160\/15 - (-2)\/(-3). Suppose 5*s - 5*r - n = 0, 2*s = -8*r + 3*r + 4. Calculate the remainder when 55 is divided by ((-21)\/s)\/((-3)\/4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 493 and 0.3835227?\nAnswer: 492.6164773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + -1)\/((-1)\/3). Let m(b) = -7*b**2 - 7*b + 4. Let n(c) = 4*c**2 + 4*c - 2. Calculate j*m(z) - 5*n(z).\nAnswer: z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -28944867 and -398592?\nAnswer: 28546275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -3789575988.\nAnswer: -3789575987.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/360 and 173\/433422540?\nAnswer: 866845080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 478, 1999, 4564, 8173, 12826, 18523, 25264?\n\"Answer: 522*w**2 - 45*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -699 minus 347906729?\nAnswer: -347907428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3.6, -4, 107297?\nAnswer: 107297","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101688, 101736, 101810, 101904, 102012, 102128, 102246?\nAnswer: 102360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, 217, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (19*j - j + 2*j)*(2*j - 1 + 1)*((2 - 2 - 2)*(-6 + 2 + 2) - 3 + 1 + 0 + 5 - 2 - 5 - 2 + 5 - 1) in the form r*j + w + q*j**2 and give q.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -549 - -572. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19.93 - 20. Let s = -0.09 - -0.16. Let m = s + h. Sort -2, 2, m.\nAnswer: -2, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 9:11 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**2\/5 - 34*k\/5 - 76\/5 = 0. What is k?\nAnswer: -2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/8? (a) -0.3 (b) -8.78 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*x + 162*x - 30*x - 9*x**2 + 36.\nAnswer: -(x - 18)*(9*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/11, -2, 5, 4 in ascending order.\nAnswer: -2, 4\/11, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 7*u**2 - 7*u - 5. Let j be l(-6). Let n = j + 5. Let m = 8 - n. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25890173 to the nearest integer?\nAnswer: 5088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 14*g**2 + 2*g + 1. Let n be c(-3). What is the greatest common divisor of n and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.2 - 5.5. What is l rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*y + y - 3*y + 2*u + 56, u = 155*y + 602 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -27, -53, -99, -171, -275, -417?\nAnswer: -603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 - 30 - 24 + k**3 + 2*k**2)*(0*k - k + 2*k + (-2 + 4 - 3)*(-2*k + 1 - 1) - 1 + 2*k + 1 + 2*k + 1 - 1 + 1 - 2*k - 1).\nAnswer: 5*k**4 + 10*k**3 - 395*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-110)\/(-3) - 16\/(-72)*-3. Calculate the greatest common divisor of 252 and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -27 (b) 3\/4 (c) 2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7795155 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2234573 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3926756457 to the power of 1\/3, to the nearest integer?\nAnswer: 1578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1430 and 650.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 471, 518, 595, 702?\n\"Answer: 15*f**2 + 2*f + 454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2288 and 1456?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4*(9\/(-4) - (-2 + 1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (60 + -47)\/((-5)\/(-50)*5)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 34678712 or 3\/23?\nAnswer: 34678712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j + 7*j + 0*j + (-6 - 4 + 4)*((0*j - j + 3*j)*(4 - 3 + 0) + j - j - j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventeen quarters of a tonne?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ed373 (base 16) to base 4\nAnswer: 3231031303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -40155100 (base 6) to base 13\nAnswer: -309888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}