diff --git "a/data/dm_maths/full_data_2/11137_11255.jsonl" "b/data/dm_maths/full_data_2/11137_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/11137_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve -47*z - 215 + 207 = -49*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-2)\/(-6 - (-489)\/84*202\/196)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + h**2 + h**2 + (0*h + 3*h - 2*h)*(1 - 1 + h))*((3*h + 4*h - 5*h)*(-2 - 3 + 4) + 82*h - 57*h - 54*h).\nAnswer: -62*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 249697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-75)\/(-45)*(-1 - -4). Let -23*v**2 + 8*v**2 - 18*v**4 - 36*v**3 - 9*v**2 - 3*v**p = 0. What is v?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5)*(394*s + 399*s - 49*s).\nAnswer: -1488*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 203 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 80.\nAnswer: -5, -2, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -150, -568, -1264, -2238, -3490?\nAnswer: -5020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (6 - 11)) + -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/7 or 5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4740519163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(44)\/sqrt(4) - 6*3*sqrt(11))*1)**2.\nAnswer: -68*sqrt(11) + 3183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -4, 4*t - r = t - 7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1332784984 to the power of 1\/3, to the nearest integer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -4*a + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*k, x - 5*k = -8 - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b - 9. Let u be g(9). Solve -3*v = 5*c + 19, u = 5*v - v + c + 14 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 168002 or 167990?\nAnswer: 167990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 165589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-780)\/(-16))\/(-15) + (-9)\/12. What is the third biggest value in w, -19, -2\/17?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 19 - 17 = 0. Let d(t) be the third derivative of t**4\/24 + 2*t**3\/3 - t**2. Give d(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 727770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7864 and -1?\nAnswer: -7864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((a**2\/a)\/a)\/a)\/(a*a**(-3\/8)\/a))\/(a*a**0)**(-9\/2))\/(a**(-6)*a**(2\/15)*(a**(2\/7))**(-20)) assuming a is positive.\nAnswer: a**(12983\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.046 + -0.7.\nAnswer: -0.654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*b = -14*b - 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -488.47 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0366 + 0.04415. Round m to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.15131 weeks to minutes.\nAnswer: 404725.2048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 119 - 57. Suppose a - 5*s - u = 30, -3*s = -15. Calculate the greatest common divisor of 13 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*f + f + 2*f)*(-4 + 1 + 1) + 651*f - 84*f + 338*f)*(-4 + 5 + 1)*(-3 + 6 - 2) to the form q + g*f and give g.\nAnswer: 1806","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 12:41 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -8963 (b) -2 (c) -0.2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*b + 1406 = -869 for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 72441 divided by 8049\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 10 = 2*d, -4*k + d = -723. Suppose 4*g + g - k = 0. Let o(l) = l**2 - l - 4. What is the remainder when g is divided by o(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -100010001001110010000001010?\nAnswer: -100010001001110010000001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*2)\/sqrt(9) - (sqrt(17) + (sqrt(204) + (-2*sqrt(204) - sqrt(204)) + sqrt(204))\/sqrt(12)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**3 + 752*g - g**3 + 19 - 752*g.\nAnswer: 2*g**3 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 3*m - 7. Let d be l(-5). Let p(n) be the first derivative of n - 3*n + 3*n + 0 - n**2 + 8. Determine p(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32289862?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 145 + -4?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eccc when four letters picked without replacement from {e: 5, c: 8}.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*171\/2*(-1 + -6)\/63?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.067 * 2.9\nAnswer: -0.1943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4\/7 + -65\/126. Let r(y) be the third derivative of 0*y + 0 + 1\/90*y**6 - q*y**4 + 1\/315*y**7 + 2*y**2 - 1\/9*y**3 + 0*y**5. What is w in r(w) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2324 + -2322.5. Which is the second biggest value? (a) -6 (b) y (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l + l + 4 + 0*l + 1. Suppose 15*i = 10*i - 25. What is p(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.4, 0, -3\/4, 1\/4 in descending order.\nAnswer: 3, 0.4, 1\/4, 0, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252 = -4*z - 52. Let h = z + -45. Factor 2\/3*b**h + 2\/3*b**4 + 2\/3*b - 4\/3*b**2 - 4\/3*b**3 + 2\/3.\nAnswer: 2*(b - 1)**2*(b + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -0.3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -535859529 > -535859530?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -27. Let d = p - -13. Let o = 0.2 + -1.2. Which is the third biggest value? (a) 2\/7 (b) o (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 6*o**2 - o + 8. Let h be p(6). Solve -h*n + 16 = -6*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(3\/((-9)\/(-3))). Let c(v) = -5*v**3 + 2*v**2 - 1. Is c(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -i**4\/12 - 2*i**3\/3 + 28*i**2. Let a be l(-4). Solve 1 = 5*z - a for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3 - 9)*(0*n - n + 4*n - n + 2*n + 0*n + 1 - 1 + n + (-6 + 2 + 2)*(-2*n + 1 - 1) - 5*n + 3*n - n) to s*n + i and give s.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = s - 28, 5*c - 132 = -637*s + 640*s for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -631 - -632. What is the nearest to 6 in -5, -4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 355.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11271947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 170\/261?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 3\/5, -12, -0.0011?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iwu when three letters picked without replacement from ifiiufwiuuizffuu.\nAnswer: 5\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7426784*3\nAnswer: 22280352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -0*y + y + 2, -4*m = -2*y - 20. Let b be (y - -5) + 17 + 0. Suppose -b - 22 = -2*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*w = -77*w. Is -7\/5 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d**2 - 39*d + 66. Let h(k) = 3*k + 1. Let v(s) = 6*h(s) - w(s). Solve v(x) = 0 for x.\nAnswer: -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*f + 24 + 270 = 0 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18444420 and 3096.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 9 = 11. Let a(d) = 2*d**2 + 6*d - 5. List the prime factors of a(g).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 - 2*r - 2. Let j(a) = -a**3 - 6*a**2 + 2. Let u be j(-6). Let o be d(u). Let -y - 8 + 2*y - 2*y**o - 2*y + 9*y = 0. What is y?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 + 75 = 2*s. Suppose 5*b - s = 45. Solve -4*q + b = 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 685179296 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2 + 2 - 111*m + 122*m. Let r(i) = 5*i. What is 13*r(d) - 6*s(d)?\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 51 + 2. Let i be -2 - -3 - (0 - f). Solve 0 = 3*s - s - i for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 58141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181 - 149 = 8*o. Solve -y - 18 = -4*y + o*f, 0 = -2*y - f + 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7380 smaller than -7376?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 26709*c**2 - 6*c - 1. Let x(r) = 9*r**2. Give d(x(o)).\nAnswer: 2163429*o**4 - 54*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*c - 351*c + 158*c - 242 = 0 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255526.\nAnswer: 2, 127763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u - 11. Let s be k(-6). Let i be ((-1)\/(-5)*-2)\/(s\/5). What is the nearest to 1 in 0.5, i, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/3 + 986*t\/3 + 626600.\nAnswer: -(t - 1950)*(t + 964)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20925069839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 601970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -26*t**2 + 13*t - 7. Give v(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 112 - 102. Let o(v) = -v + 13. Let u be o(d). Let k = 159 - 481\/3. Which is the third smallest value? (a) -2\/9 (b) u (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8160 and 10200?\nAnswer: 40800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 7 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(15)*-2)\/sqrt(5) + sqrt(3)) + -2)**2 + ((sqrt(108)*-2)\/(sqrt(40)\/sqrt(250)))**2.\nAnswer: 4*sqrt(3) + 2707","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9356 + -9360. Put 0.2, v, 0.3, -74\/5 in ascending order.\nAnswer: -74\/5, v, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -12*a**3 - 5*a**2 + 3*a. Let t(p) = -p**2 + 23*p + 83. Let d be t(26). Let u(m) = -8*m**3 - 3*m**2 + 2*m. What is d*j(v) - 8*u(v)?\nAnswer: 4*v**3 - v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*n - 18*n - 29*n - 540 = 0 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 w when four letters picked without replacement from {b: 5, n: 4, w: 3}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5438 and 205333442?\nAnswer: 205333442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-10) - (-3)\/(-63)*(-2064)\/860.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 1184 = 202. List the prime factors of t.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**2 - 2*g + 1. Suppose 3 = 5*o - 2. Let x be h(o). Solve l - 1\/2*l**x - 1\/2*l**3 + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0, 14, 0.05, 5, -851, 0.4?\nAnswer: -851","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x + 25*x = 1792. Is x a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 702 a factor of 1586683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*t**2 + 476*t**2 + 160*t**2 + 89*t**2.\nAnswer: 751*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*q - 5*o - 36, q = -3*o - 12. Let t be (4\/q)\/((-10)\/15). What is the units digit of -8*(t - (-2 - -1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6*v = -2*y - 192, -4*v + 2*y + 152 = 0. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1077405 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: Let j(t) = t**3 - t**2 + t - 1. Let k(n) = -51*n**2 + 1 + 2*n + 93*n**2 - 45*n**2 + n**3 + 3*n**3. Give -3*j(p) + k(p).\nAnswer: p**3 - p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (2628\/8030)\/((-6)\/(-10))*11\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 13759021 in ascending order.\nAnswer: 0, 4, 13759021","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2093*y. Let c(a) = -379*a. Calculate c(x(z)).\nAnswer: 793247*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j + 6. Suppose -2*n + 3*h = 0, 0 = -4*n - h - 16 + 2. Let y(t) = -t**2 - 6*t - 5. Let r be y(n). What is the tens digit of u(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18205 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*h**2 - 2338*h + 2332*h - 4*h**2 + 160 - 9520*h**3 - 80 wrt h.\nAnswer: -57120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**3 - 120*q**2 + 817*q + 110. Give j(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 11:07 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1545*i**3*w**2*y - 3*i**3*w**2 + 3*i**2 - i*w + w**2*y + w**2 - 45*y wrt i.\nAnswer: 9270*w**2*y - 18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/((4 + -2)\/1). Let w be 5\/f*(-1 - -1). Suppose 2*v - 9*v + 14 = w. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(1331)*-2 + (sqrt(1331) + -1)*2 + -4*(sqrt(1331) + 0 + 4))**2.\nAnswer: 4752*sqrt(11) + 191988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.54035 rounded to 0 dps?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 divided by -11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 12:43 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 - 25967856*n + 25967853.\nAnswer: 3*(n - 8655951)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4228955872.6134199 - 4228956084. Let y = v + 322.386592. Let n = 111 - y. Round n to six decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2479*m**2 + 4951*m**2 - 2481*m**2.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of 65*w**4\/3 - 221*w**3\/6 + w - 8189. Let h(n) = -7*n**2 + 6*n. Let u = 88 - 309. What is u*h(g) - 6*y(g)?\nAnswer: -13*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -121\nAnswer: 13\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - (-96)\/18)\/((-2)\/(-66)) - 7. Factor -2\/3*r**3 + 1\/3*r**2 + 0 - 1\/3*r**d + 2\/3*r.\nAnswer: -r*(r - 1)*(r + 1)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*p**3 - 34*p**3 + 75*p**3 + 109*p**3 + 25 + 11*p**3 wrt p.\nAnswer: 444*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89896712 divided by -22474178?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 91 = m + m, 2*m = 2*x + 100. What are the prime factors of m?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5657897*c**2*h**2 - 10010*c**2*h - 147*c*h wrt h.\nAnswer: -11315794*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/x**(-3\/5))\/x)\/(x*x**23))**11)**(-24) assuming x is positive.\nAnswer: x**(30888\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = a - 18, 0*f + 3*a = 2*f - 36. Let t be (-4)\/f + 11\/9. Suppose -57 + 29 = -14*v. Is v bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 440 - 199. What are the prime factors of n?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3999.\nAnswer: 3, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7978 + 43618 = -376*q - 396*q - 8620 for q.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 951 (base 13) in base 12?\nAnswer: b03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2106 divided by -6.\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 3*p = -21, -9*p + 24 + 138 = -i + 258 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 greater than 56051\/234?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -128.196 + 0.196. Let s = -126.0158283 - -254.01582. Let k = s + z. Round k to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 5*t**2 + 2*t - 2. Let l be b(-4). Suppose 4*x - 2*u = l + 16, x - 7 = u. Solve -2*q - m = -6, 4*q - 12 = m + x*m for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24807140 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7 + 0)\/(1 - 0). Let q = 12 + h. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, k: 6, c: 1, g: 2, u: 1}. Give prob of picking 2 k and 1 c.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 2*b = 21 - 60 + 29, 3*b + 5 = -4*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -3\/4 (c) -637 (d) 112\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14450088.\nAnswer: 2, 3, 602087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1866705 divided by -373341?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3b0a - -11?\nAnswer: -3ac9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 268 - 150 - 806*q**2 - 706*q**2 - 113 to w*q + u + i*q**2 and give i.\nAnswer: -1512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 264561323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 129.257 + -128.757. Let m = 145\/108 - 16\/27. Suppose 4*s + 2*n = -30, 7*s + 25 = 3*s - 3*n. Sort s, b, m, 1\/5 in decreasing order.\nAnswer: m, b, 1\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1433*g - 2859*g = 3*i - 1430*g + 32, 14 = -i + 2*g for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*v**2 + v**2 - 13*v**2 to the form m*v**2 + u*v + i and give m.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4352?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + t)*(1 + 2*t**2 - 1) + (-12*t**2 + 3*t**2 - t**2)*(-3*t + 2*t + 3*t).\nAnswer: -18*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + c)*(7*c + 6*c + 0*c)*(c**2 + 102*c - 9*c**2 - 104*c) in the form a*c + b + g*c**2 + n*c**4 + k*c**3 and give n.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiczcczcccjzcz. Give prob of picking 1 j and 1 z.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, g: 2, j: 1, o: 1, a: 2}. Give prob of sequence ogg.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12502*i**2*t**3 - 11*i**2*t + 27*i*t**3 + 2*i*t**2 + 150722*i + t**3 + t**2 wrt t.\nAnswer: 75012*i**2 + 162*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(6\/23)*b**(-17) assuming b is positive.\nAnswer: b**(-385\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -521020 divided by -109.\nAnswer: 4780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -380 - -2c5?\nAnswer: -bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1866 (base 9) to base 8.\nAnswer: 2635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**3 - 3*z**2 + 3*z - 2. Let a be ((-24)\/36)\/(4\/(-162)). Let c = a + -35. Let r(f) = -5*f**3 - 9*f**2 + 8*f - 6. Give c*n(o) + 3*r(o).\nAnswer: o**3 - 3*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - ((-16 - -24) + -24 + 111 - -6).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 0.41\nAnswer: -0.123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 6 + 192\/(-36)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 310599.5434 - 310540. Let h = c - -0.0566. Let k = -60 + h. What is the nearest to 2\/3 in 0.3, k, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*d + 36. Calculate the least common multiple of 22 and d.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39 and 17478.\nAnswer: 227214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9763?\nAnswer: 13, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + 4 + 1*sqrt(325) + -6*sqrt(325)*1 + 3 + 2*sqrt(325) + 2)**2.\nAnswer: -180*sqrt(13) + 1381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 15 (c) 0.2 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -24. Let a(w) = -w**2 + 2*w + 6. Let v be a(5). Is p\/(-45) - 317\/v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15517*z + 1327?\nAnswer: 15517","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2 + sqrt(432) + 1 + -2 + 0)*-3*-2.\nAnswer: -16 + 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + t = -59, 4328*t - 71 = 5*m + 4332*t for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3001333 - -12131?\nAnswer: -2323202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -8.27*8\nAnswer: -66.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6377647 + -0.0606?\nAnswer: -6377647.0606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 9*j - 176. Calculate the highest common factor of 22 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2060.4 + 1805. Let g = h + 255. Which is the nearest to 3\/5? (a) g (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 41*s - 162. Let x be q(4). Find the second derivative of 4 + 23*o - 4 + o**2 - 5*o**x - 2 + 146*o**2 wrt o.\nAnswer: 284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4*s - 2*s + 2)*(12*s + 6*s - 11*s) - 2*s**2 + 5*s**2 + s**2.\nAnswer: 18*s**2 + 14*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 17*g - 15. Let a be p(-13). Let n = -17 - a. What is the remainder when n is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 7) + (-9 + 5 - -13).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 130 - 3?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 20*x**2 + x - 14*x**2 + 3 - 2*x. Let o(j) = -4*j**2 - 14*j + 5. Let d(n) = n**2 + 5*n - 2. Let g(r) = -17*d(r) - 6*o(r). Calculate 5*g(u) - 6*m(u).\nAnswer: -u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9399 and 2600?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 + 23. Is -2 + (2305\/(-10) + 4)*n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -1)\/((-110)\/(-33) - 3) + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21271701 - 1?\nAnswer: 21271700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -3. Suppose d + b = 4. Is d less than or equal to 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lj when two letters picked without replacement from mjildmduuluu?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**3 + 8*o**2 - 9*o + 10. Let a be h(-5). Find the second derivative of -7*u**a + 380*u - 402*u - 9*u**5 wrt u.\nAnswer: -320*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3835879015?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 7*s**2 + 1004060928*s - 1004060928*s. Let x(g) = -4*g**2 - g**2 - 2*g**2. Give x(q(l)).\nAnswer: -343*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6984223 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(108) - (1 + -1*sqrt(108)) - ((sqrt(108)*-1 - sqrt(108))*-4 + sqrt(108)))*-4)*-4.\nAnswer: -672*sqrt(3) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 107*z - 32*z - 525. What is the remainder when 277 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 355 - 5?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 951 = 96. Let h be (-1)\/(3\/(-9)) + b\/(-3). Suppose 9*k = 8*k + h. Is k a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*b**5 - b**2*d*s + 5*b**2*s - 4*b*d*s - b*d - 3*b*s + 2*b wrt b.\nAnswer: 480*b**3 - 2*d*s + 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2145 - 591 - r + 1544 to f*r + n and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -165*d**3 - 15*d**2 - 57*d - 4007033 wrt d?\nAnswer: -495*d**2 - 30*d - 57","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - -4)\/((-3)\/674). Does 21 divide f\/(-16) + (-1)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*k - d, -3*k - 1 = 4*d - 12. Let v(x) be the second derivative of x**3\/6 - x**2 + 9*x. Let a be v(k). Solve n = a*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 255, 848, 1821, 3180, 4931, 7080, 9633?\n\"Answer: f**3 + 184*f**2 + 34*f + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1690788\/697 and 2426 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 9*y**2 + 8*y + 2. Let l be (7 + -3)*6\/(-24). Let x = l + -7. Let p be c(x). Solve 2*v - 3*r = -3, p*v = -3*r - 2*r + 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2041506*g*n**2 + 2*g*n + 569727080*g - 2*n**2 with respect to n.\nAnswer: -4083012*g*n + 2*g - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3*2\/4)\/(366\/(-4636)). Suppose -2*s + 39 = 3*v, 4*v = -2*s - 19 + 57. Let r = j + s. Solve r*q = -2*q - 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3\/2, -2\/3, -6 in decreasing order.\nAnswer: 3\/2, -2\/3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2676 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22594320, -45188641, -67782964, -90377289, -112971616, -135565945, -158160276?\nAnswer: -180754609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82194 is divided by 869.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 62874, 125643, 188416, 251193, 313974, 376759?\n\"Answer: 2*c**2 + 62763*c + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7641520 is divided by 347341.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 910 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: Let q be ((-9)\/60)\/((-2)\/(-8)). Let d = -26 - -16. Let o be (-16)\/10 - (-4)\/d. Which is smaller: o or q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32848836 is divided by 4490?\nAnswer: 4486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/50 and -59\/8?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -3 (b) 1\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17464541 rounded to four dps?\nAnswer: -0.1746","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**2 - 22*m - 31. Let s be z(-8). Solve -s*j + 33 = -28*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*g + 13*g + 40. Suppose 3*s = -15, -3*s + 4661 = g*y - 0*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(17) + -1*(sqrt(272) + sqrt(17) - sqrt(17)).\nAnswer: -3*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 7*c**3 + 4*c**2 - 4*c - 4. Let a(l) = 2*l**3 - l**2 + 1. Let v(u) = u**3 + 8*u**2 - 5*u - 8. Let m(j) = -3*a(j) - v(j). Calculate -4*m(h) - 5*w(h).\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -24316.7.\nAnswer: -48633.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/252255171 and 34\/133539?\nAnswer: 252255171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 64596.72085 rounded to the nearest one hundred?\nAnswer: 64600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 21002008 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -0.5 (c) 4 (d) -27.6 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5169459l to millilitres.\nAnswer: 516.9459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 2*u - u + 3, v = 4*u + 12. Suppose -5*k + 4 + 6 = v. Does 3 divide (2\/(-2))\/(k\/(-18))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and -28.518.\nAnswer: -28.818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (-34 - (-1 + 0)). Suppose -40 = -3*u + 2. Suppose u = z + z. What is the greatest common factor of t and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g**4*l**3*u - 4259*g**4*u + 13*g*l**3*u + 2*g*l*u - 2*g*l - 21*l*u wrt g.\nAnswer: -36*g**2*l**3*u - 51108*g**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, -2\/15, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2580, -2581, -2582, -2583?\n\"Answer: -y - 2579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 1. Solve 26 = -h - 0*h - f*k, -3*h - 2*k - 13 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18173001 a multiple of 521?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -408143 = -23*w - 408005 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - sqrt(20)*-1)*1.\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 3*n = 7, -4876 = 5*v + n - 4919 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1243 + -4?\nAnswer: 1237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-23)\/46)\/((-8)\/(-32)*(-12)\/2)*-64\nAnswer: -64\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 6, 73594, -8 in ascending order.\nAnswer: -8, -3, 1, 6, 73594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.045 and -2.688?\nAnswer: -0.12096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165124641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 330645 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iw when two letters picked without replacement from {s: 3, w: 3, i: 12}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7dc + 9?\nAnswer: 7e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - i + 337, -5*u + 14*i + 464 = i. Calculate the highest common divisor of u and 493.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-58)*668\/(-501).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, p: 3, z: 2, o: 4}. What is prob of picking 1 p and 1 v?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99, -94, -91, -90, -91, -94, -99?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*y**3 + 7*y**2 - 151.\nAnswer: -30*y**2 + 14*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/4 (b) 2\/587 (c) -0.1 (d) 2 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13791 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/60 and 157\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -180274 divided by -1?\nAnswer: 180274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1254164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 16*t**2 + 320*t - 51. Let z be u(12). Which is smaller: -164 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -221720.11 rounded to the nearest one thousand?\nAnswer: -222000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 260.8 + -261.2. Let k = 19.2 - 19. What is the nearest to 73 in k, c, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 m when three letters picked without replacement from mmmmmmmmmmmmmmmmumm.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -5. Let w = 158 - 1736\/11. What is the second biggest value in w, t, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-27)\/2*(-12)\/(-33) and (65\/(-6))\/((-4)\/(-6))?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 700 divided by 163.\nAnswer: 700\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 339 + -337. Which is the nearest to g? (a) 0 (b) -0.06 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1507758*o - 4521740*o + 1506996*o + 1506986*o + o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**6 - o**5 + o**2 - 1. Let m(g) = -96*g**6 + g**5 + 4*g**2 + 3. Let i(b) = h(b) + m(b). Find the third derivative of i(y) wrt y.\nAnswer: -11640*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28675*l + 50492*l + 101130*l.\nAnswer: 122947*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-6))\/((-1857)\/33426)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0013454057 to five decimal places.\nAnswer: -0.00135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -927747300, -927747301, -927747302, -927747303, -927747304?\nAnswer: -927747305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (75 - 73) + ((-16)\/6)\/(221\/156).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 43, -97 in decreasing order.\nAnswer: 43, 0, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -10. Find the third derivative of 4 - c*x**3 - 4 - 5*x**2 wrt x.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3863 greater than or equal to -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0041958 to 4 dps.\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 1. Let q(l) = -5*l**2 - 11*l + 7. Let x(p) = -6*p**2 - 12*p + 7. Let g(v) = 7*q(v) - 6*x(v). Calculate g(h) + 5*m(h).\nAnswer: h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25\/8? (a) -1\/3 (b) 3 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.28001 and 2?\nAnswer: -6.56002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*m + 5*b + 10, 13*m - 5*b - 10 = 11*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = 5*d + a, -4*d + 28 = 1276*a - 1279*a for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 228*u + 218*u + 3)*(-1 - 1 + 3) as q + f*u and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -27425\/2 (b) -0.1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 3. Suppose a*n + 1\/2*n**2 + 0 = 0. What is n?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-27)\/9456)\/(9\/12))\/(2*75\/(-400))?\nAnswer: 2\/197","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -12*t + 136. Let k be b(11). Solve 0 = k*u + 12*n - 10*n - 6, 0 = -2*n - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361401596.\nAnswer: 2, 29, 31, 100501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**5\/4 - 201*i**4\/4 + 1929*i**3\/2 - 10299*i**2\/2 + 39915*i\/4 - 22977\/4 = 0. What is i?\nAnswer: 1, 3, 23, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 977222711?\nAnswer: 167, 257, 22769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22524903637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 - 6) + (16 - 9) + -3?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -10 - 52. List the prime factors of d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 + 30 + 25 - -36?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -5*r - 4. What is the second derivative of 2*g**r - 12*g + 11*g + 4*g**3 - 4*g**3 wrt g?\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 573990 and 2120?\nAnswer: 2295960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*g**3 + 16*g**3 - 8*g + 54*g**3 + 8*g + 35*g**3.\nAnswer: 18*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22800 and 10925.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -724 = 8*h - 3644. Suppose -359*m = -h*m. Which is smaller: m or -1\/158?\nAnswer: -1\/158","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*c + 14*c + 1254. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = c. Let v = c - 0. Suppose -6*q = -v*q + 134000. Round q to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -4*v**3\/27 + 88*v**2\/9 + 20*v + 5204. Suppose w(y) = 0. What is y?\nAnswer: -1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 242 - 354. Suppose 141*b = 130*b - 1210. Let w = b - l. Solve 0 = w*v - 0*v - 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -39*d - 81. Give u(-3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 106332.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43893522951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 146086624 to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 1219 = -4*p, 135*p = 131*p + 4*y - 1244. Put -5, -1, p, -3 in decreasing order.\nAnswer: -1, -3, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of y**7\/2520 + y**6\/288 - 13*y**5\/720 + 7*y**4\/288 + 17*y**2 - y - 315. Let s(m) be the second derivative of r(m). Factor s(b).\nAnswer: b*(b - 1)**2*(b + 7)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 4 - (-3 + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6706.4 and 5818596.\nAnswer: 5811889.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 5*c - 5*f = 10, 24 = -5*c - f for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 2)\/(4 + 0\/5). What is the third biggest value in 0.5, m, -0.5, 2\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/135*((-50)\/(-15))\/(-5)*-3.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9ae0 + 953?\nAnswer: a433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -987, -1977, -2967, -3957?\nAnswer: -4947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 463 = -5*h, -1980*h + 10933 = -2099*h - 5*l for h.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -13413, -50556, -112465, -199140, -310581?\n\"Answer: -12383*j**2 + 6*j - 1036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.11 (b) 2 (c) 1776 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -368557*v**2 + 184349*v**2 + 183794*v**2.\nAnswer: -414*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/38180 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 287320105 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of x**4\/4 + x**3\/6 - 7*x**2\/2 - 948*x. Suppose -8 = -o - 1. Is 21 a factor of t(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -822*y**2 + y - 5111. Let w(n) = -2*n. What is v(w(i))?\nAnswer: -3288*i**2 - 2*i - 5111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 245 - 4*a**6 - 8*a**3 - 240 + a**6 + 2*a**2 wrt a.\nAnswer: -360*a**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 63*n**2 - 5*n - 56. Let a(q) = 32*q**2 - 4*q - 34. Determine 5*a(v) - 3*w(v).\nAnswer: -29*v**2 - 5*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 - 143 + 42 + 47 - 152*k**2.\nAnswer: -152*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, l: 2, d: 3, k: 3, p: 1, i: 3}. Give prob of sequence id.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 3*h**2 + 5*h + 6. Let g(j) = 7*j + 5. Let t(s) = -5*g(s) + 6*z(s). Let p be t(-5). Solve -2*n - n - 12 = p for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5\/2)*a**12)**(-8\/9)\/((a**(-1\/2))**(1\/45)\/((a\/(a\/a**(1\/9)))\/a**(-3))) assuming a is positive.\nAnswer: a**(-479\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17021*m**3*r + m**3 + 255*m**2 + 63*m - 6*r wrt m?\nAnswer: -102126*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1352 + 15223?\nAnswer: 21015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 1) + -2 + 13. Suppose -5*i + 104 = -k*i. What is i rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2483743238?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**3 + 14*x - 14*x + x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58 + -58.075. Let c = 0.07296 + l. Round c to 4 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -8203*n - 65673. Determine t(-8).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of 0*j**4 + 1\/840*j**7 + 0*j**6 + 0*j**5 - 1\/1344*j**8 + 0*j + 0*j**3 + 0 + j**2. What is a in v(a) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1650 by -5.\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x - 31. Let p(j) = 2*j + 16. Let l(y) = -4*n(y) - 7*p(y). Suppose -209*g + 215*g - 36 = 0. Let w be l(g). Solve -6*k + 2*k + 16 = w for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -1\/5, 5\/6, 3\/8, 0.2, 577?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 5*m = 5*q + 20, m - 3*q = -4 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 40?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 38, -2\/15, -2944 in descending order.\nAnswer: 38, -2\/15, -2\/7, -2944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -5*y**2 + 3*y - 5. Let s = 0 + 1. Let f(o) be the third derivative of -o**5\/60 + o**4\/24 - o**3\/6 - 22*o**2. What is s*l(z) - 4*f(z)?\nAnswer: -z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) - 6*(2 + sqrt(396)))**2 - 3*(sqrt(396) + -2))*5 + (sqrt(396) - (3 + sqrt(396) - sqrt(396))*-3)**2 + (5 + sqrt(396) + 0 - sqrt(396)).\nAnswer: 3618*sqrt(11) + 50732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 65028?\nAnswer: -65029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*v - 314*v - 2*d = -5, 2*d = -10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/63 of a week in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*l + 16, -14 = 5*z - 2*z + 4*l. Let u = z + 9. What is the remainder when u is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3599*p + 267499 + 67208 for p.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 10:33 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 4*i + 11 = 0. Let v be i\/6 + 532\/24. Let f = 90 - v. What are the prime factors of f?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 119921941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwwjwywr. What is prob of sequence yw?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1024836387 to the power of 1\/3, to the nearest integer?\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4*(-80)\/(-60).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.207*0.30496\nAnswer: -0.36808672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (3 - (-8 + 23 + -7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/16)\/((-1)\/4). Suppose 0 = -y*b + b + 446. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 12, 4, 16, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = s - 4*n - 14, 0 = 4*s + 2*n + 14 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (16\/(-6))\/((-2)\/(-6)). Let i = p - -8. Solve -4*h + 13 = 3*w, i = 5*w - 3*h + 3 - 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 8*g + 2. Let u(o) = o**2 - 5*o - 6. Let t be u(5). What are the prime factors of w(t)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -v**4\/12 - v**2 - 2004*v - 2. Let g(k) = -39*k**2. Let q(u) = -2924*u**2. Let o(a) = 301*g(a) - 4*q(a). Determine o(f(n)).\nAnswer: -172*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4990, 19940, 44852, 79726, 124562?\n\"Answer: 4981*r**2 + 7*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x**3 - x**2 + 2*x + 4. Let q(d) = 10*d**3 + 3*d**2 - 5*d - 13. Let l(h) = 2*q(h) + 7*w(h). Let u be l(-3). Let a = 1 - -3. Solve a*p = u*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-105)\/42 - ((-50310)\/36)\/43?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/3*h**3 - 48 + 8\/3*h**2 + 20*h = 0. What is h?\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1350123 divided by 450041?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-5\/3)\/f)\/(f**(2\/5)*f))\/((f*f**(-2\/17))\/f*f**(-2\/53)*f) assuming f is positive.\nAnswer: f**(-66376\/13515)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.393638 rounded to three decimal places?\nAnswer: -1.394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of f**3 - f**2\/2 - 3*f + 4. Let h = 8 + -14. Is g(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 10:47 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/5)*(l*l\/(l**(-7)*l)*l)\/l*l)**30 assuming l is positive.\nAnswer: l**258","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4129644 and 12.\nAnswer: 4129644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*p - 37*p + 11*p)*(0 + 0 - p + (0 + p + 0)*(28 - 68 + 84)).\nAnswer: -731*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 9:23 PM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -64*l - 224. Let j(s) = 6*s + 20. Let g(n) = -56*j(n) - 5*x(n). Let t(q) = 21*q. Determine g(t(r)).\nAnswer: -336*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c**3 - 213*c**2 + 30*c + 1219. Let i be v(53). Let 1\/2*m**5 - m**2 + 0 + i*m**3 + m**4 - 1\/2*m = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3513196 - 6843498. Let c = p - -3333632612\/1001. Let b = c + -12\/77. Calculate the common denominator of -44\/9 and b.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -3*k - 4*a, -2*k - 36 = -3*a + 25. Let i = 140 + k. Does 18 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-10))\/(4\/16).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s - 9*s - 267 = 13*t, 3*t - 2*s = -57 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g - 3. Let r be l(-2). Let t(z) = -z**3 - 9*z**2 - 3*z + 1. What is the remainder when t(r) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(((f\/(f*f**(-12\/7)*f)*f*f*f*f)\/f*f)\/f))\/f**(-8) assuming f is positive.\nAnswer: f**(37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 28*6\/42\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**3 - 43*d**2 - 80*d wrt d?\nAnswer: 12*d - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - -7.1. Let t = -7.1 + n. Which is the closest to t? (a) -0.3 (b) 2\/7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + d - 4 + 17, -5*n + 2*d = -21. Solve -14 = n*w + 11 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -33*c**3 + 21*c**2 + 57*c - 3. Let y(i) = -8*i**3 + 5*i**2 + 14*i - 1. Let u(p) = 5*g(p) - 21*y(p). Determine h so that u(h) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -5*s + 12. Let f(p) = -5 + p + 3*p + 2 - 7*p. Let y(h) be the second derivative of 3*h**3\/2 + 4*h**2 - 6*h. Give s*y(o) + 8*f(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b - 6*b - 53 = 2*z + 8, 65*b - 19*b = 411 + 95 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172 divided by 2462.\nAnswer: -86\/1231","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 + -138. Does 15 divide (12\/(-10))\/(3\/w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -151026 (base 9) in base 14?\nAnswer: -25a6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by 40?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10947, 10941, 10923, 10887, 10827, 10737, 10611?\nAnswer: 10443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.27100992 to three dps.\nAnswer: -2.271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 4\/14 + 141\/21. Suppose -h*b + 10 + 20 = 0. What are the prime factors of -3*1035\/(-35) - b\/(-21)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -551 by -54.\nAnswer: 551\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.053 + 1.053. Let m = -24759.35 - -24760.349999. Let w = l - m. What is w rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -148*o + 1937 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 58*p**3 - 4*p**2 + 32*p - 58. What is the remainder when o(2) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*k + 9, -4*k + 5*f + 33 = 2*f. Suppose -n = -v - 2 - k, 0 = -2*v. Suppose 4*t + 0*t = n. What is the remainder when t is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5 - 4 = 0. Let c(g) = 2*g**3 - 4*g**2 - 26*g + 57. Let u be c(3). Sort u, -4, a in ascending order.\nAnswer: -4, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1ee6 + 1?\nAnswer: 1ee7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -13757*u - 13722. Give x(-1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v + 2 - 2 + (4 + 4 - 6)*(-v - v + v) + 3*v - 5*v + 3*v + 0 + 4*v + 0 + (2 - 2 - 3*v)*(-5 + 1 + 1).\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 8:46 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 483 + 314. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {g: 4, z: 10}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 6*r + 96. Give f(10).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - 9) + -5 + 18 + -6 + -49.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - -1. Suppose 0 = 5*k + x - 13. Let m be 1 - (3 - 0\/2). Put m, 3, k in descending order.\nAnswer: 3, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**3 + 29*z**2 + 168*z - 2691. Give r(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (35\/21)\/(1\/3). Suppose 4*v - 4*r - 28 = 0, 11 = a*v - r + 2*r. What is the second derivative of 3*c**4 - 5*c**4 + c - 6*c**3 + 6*c**v wrt c?\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 5 + -43 + 43?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 50 - 32*p**2 - 50 - p**2 + p**2 + 2*p**2 + (-p - 2*p + p)*(-p + 3 - 3).\nAnswer: -28*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -519010000 to the nearest 1000000.\nAnswer: -519000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - 118746678614.9.\nAnswer: -118746678598.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 491979 to the power of 1\/2, to the nearest integer?\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -33d9 (base 16) in base 3?\nAnswer: -200012121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 92\/225 and -56\/125.\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*z**5 - 23464*z**4 + 1356314*z**3\/3 + 1701452*z**2\/3 + 286936*z\/3 + 13072\/3 = 0.\nAnswer: -1, -2\/21, 38, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -17.28. Let y = -50.28 + g. Let o = y + 50.00006. What is o rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3818, 3010, 2192, 1364, 526, -322, -1180?\nAnswer: -2048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -22 - 13. Suppose 2*s - 20 = -s + 2*i, 2*i = -2*s. Calculate the smallest common multiple of l and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 129*j**2 - 15*j + 4. Let x be p(4). Suppose 14*v + 3*c - x = 10*v, 0 = -3*c. Is 78 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -6 + -8 + 7 + -4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 4473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 47b (base 15) to base 7\nAnswer: 2651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 55011.7kg?\nAnswer: 55011700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*g - 14. Suppose -2*q - 368 = -3*a - 0*q, -g*q - 106 = -a. What is the highest common divisor of 14 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 2636*k**3 + 2641*k**3 - 3 - 3.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**4\/6 - 5*q**3\/6 - q**2\/2 - 54*q. Let y be 15\/4 + 1\/4. Calculate m(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 979, 7756, 26157, 61990, 121063, 209184?\nAnswer: 332161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 25 = i + 12, 2*t + 3*i - 64 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 * 4.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 26*k. Let a(b) = -3*b. Let j(q) = -12*a(q) - h(q). Let g(i) = -9*i. Determine g(j(t)).\nAnswer: -90*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -1128*p - 27062. What is r(-24)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 69*i**3*l + 2*i**3 - 4*i*l + 2*i - 105*l - 6 wrt i?\nAnswer: 207*i**2*l + 6*i**2 - 4*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 6 = -2*o, 39*x - 36*x + o = 6. Suppose 0 = 3*h + h + 48. Let c be (2\/6)\/((-1)\/h). Solve -x*q + c*q = -5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 0.0155?\nAnswer: 0.9845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -225103, -225134, -225165, -225196, -225227, -225258?\nAnswer: -225289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1616868 != 1616867?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 18 - 1 - 2 + g. Calculate the remainder when 13 is divided by c(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.26 + 0.64. Let t = z - 6. Which is the nearest to 0.1? (a) -0.2 (b) -3\/5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 10*p - 16. Let z be m(6). Suppose -z - 217 = -5*b. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -143 - 128?\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4426215, 4426156, 4426051, 4425894, 4425679?\nAnswer: 4425400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2954a (base 12) to base 13\nAnswer: 20404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/3 + 16*h**2\/3 - 14*h\/3.\nAnswer: -2*h*(h - 7)*(h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 - 3*o**5 - 3*o**2)*(-2 - 10 + 2)*(-1 + 3 - 3).\nAnswer: -30*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*t, 5*t = -0*s - 2*s + 14. Suppose 3*b - s*b = 3*q - 85, b = -5*q + 139. Is 4 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1867*624\nAnswer: 1165008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -61, -97, -137, -181, -229?\nAnswer: -281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -5*f + 6. Let k(x) = x + 1. Give 2*k(z) + v(z).\nAnswer: -3*z + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 172493 - 90157. Let d be (-4)\/14 + u\/56. Round d to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -11*i + 10*i. Calculate the smallest common multiple of i and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -7*u**4\/24 - 5*u**3\/6 + 9*u**2 - 5. Let f(q) = 12*q + 10. Let l(v) = -4*f(v) - 7*r(v). What is l(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 531354 is divided by 75903.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -544 and -30.6.\nAnswer: -574.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -355 and 0.32131.\nAnswer: -354.67869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4642*m**2*z**2 + 2*m*z - 2*m - z**2 - 183*z wrt m?\nAnswer: 9284*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4749 = -4*m, 3*l + 1206 = m - 0*l. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24748.\nAnswer: 2, 23, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3\/4 + 8910995*y**2\/4 - 11138775*y.\nAnswer: 5*y*(y - 5)*(y + 1782204)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004899298554 rounded to five decimal places?\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 7*r**2 + 7*r + 6. Let i be c(-6). Solve -j + 3*j - 6 = i for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3aa76 + 9?\nAnswer: -3aa6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -88*z - 17 - 31 + 91*z + 99. What is p(-19)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 3, 1 in decreasing order.\nAnswer: 13, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22 - 63 + 33)*(24*s**3 - 28*s**3 + 108*s**3) to the form r*s**3 + b*s**2 + d*s + t and give r.\nAnswer: -832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 2\/13 (c) -131239 (d) -0.09 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a kilometer in millimeters?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16899896 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -591, -869, -1161, -1473, -1811, -2181, -2589?\n\"Answer: -z**3 - z**2 - 268*z - 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, x: 9}. Give prob of picking 2 x and 1 d.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 92*n - 31*n + 2*n + 52*n + (1 + 2*n - 1)*(2 - 2 - 2) + 3*n - 1 + 1.\nAnswer: 114*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + -2 - (2 - (-6 + 16)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(720)*2 - sqrt(720)) + 2 + sqrt(720)*1 + -1).\nAnswer: 2 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**4 + 4*a**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.109 or 4416.4?\nAnswer: -2.109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.9 or -65682?\nAnswer: -65682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40013584.16121 - 40013423. Let d = -28.16174 + g. Let f = 133 - d. Round f to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-5\/3)\/z)\/z**(-19))\/((z\/z**(-2\/49))\/(z**(1\/7)*z*z*z)))**(-2\/65) assuming z is positive.\nAnswer: z**(-1084\/1911)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a day in hours?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.43589s in minutes?\nAnswer: 0.7739315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4403947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001111101110100111 (base 2) to base 6.\nAnswer: 30123051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10862 - 10862 + 909*d**2)*(-3*d + d + d).\nAnswer: -909*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3393 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*k + 43*k + 151*k**3 - 74*k - 146*k**3.\nAnswer: 5*k**3 - 79*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -71.57.\nAnswer: -14.314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**3\/5 + 146894*p**2 + 67419386886*p\/5 - 2090706878718\/5 = 0.\nAnswer: -183633, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -59*c**2. Let x(z) be the third derivative of -z**4\/12 - 39*z**2. Calculate x(g(w)).\nAnswer: 118*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3355841 is divided by 1132?\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54514 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 4*v - 6*v)*(513230*v**3 + 1057*v - 513232*v**3 + 1 + 243*v).\nAnswer: 8*v**4 - 5200*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*h - 244*h - 895759 = -6500551. What is the ten thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5518\/7 + -791. Let d = -45\/14 - u. What is the closest to 2\/5 in d, 1\/8, 2\/17?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -2, 64, -217 in descending order.\nAnswer: 64, 3, -2, -3, -217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*4*(-2 + 2*sqrt(252) - sqrt(252)) - ((-1*2*sqrt(252)*-2)**2 + 5).\nAnswer: -4013 - 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -15*s - 30. Solve -s*m + 2*f = 20, 5*m + 25 = -0*m + 5*f for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 0*s + 78. Suppose s*p - 24*p - 18 = 0. Suppose 2*c - 13*d + p*d - 3662 = 0, -4*d = 16. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 6:13 PM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53\/(3604\/(-1564)) - 71*(4 - 5).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2 = 67. Suppose -f = 5*h, 3*f - 51 - 17 = 2*h. Suppose 2*i = -4*q - i + f, -q + 5 = -5*i. Solve -4*v + 24 = -n, -8 = -v - q*n - d for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 242985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1b (base 16) to base 14\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.5005412 - 4.501. What is j rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 3*z**2 + 31*z - 6. Does 66 divide f(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 24269, 47148, 70027?\n\"Answer: 22879*v + 1390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 10*g - 79. What is the units digit of k(23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 261, 255, 227, 171, 81, -49, -225?\nAnswer: -453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -14. Suppose 1 = r + c*s - 4, 0 = 5*r - s - 4. Suppose 3 + r = g. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22982.\nAnswer: 2, 11491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/65)\/(1\/(-140)*4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 2:18 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*r + 5 - 5 + (5 + 2 - 5)*(-2*r + r + 0*r) + 0*r + 5*r - 4*r + (4 + 0 - 3)*(4*r + r - 3*r))*(-165 + 138 - 166) to the form l + n*r and give n.\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dbgzlgzgzgbggbbg. What is prob of sequence gzd?\nAnswer: 1\/160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/3)\/(4\/6). Suppose -7257*r = -7263*r. Let q = 21.51 + -0.51. What is the closest to q in r, v, 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + -1 + (-16396)\/(-28). Let j be 0 - (-1172)\/(4 - 2). Let z = d - j. What is the common denominator of z and -99\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*i + 78*i - 1864707 = -27*i. List the prime factors of i.\nAnswer: 3, 13, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 6 + 1)*(3*h**2 - 2*h**2 + h**2) in the form d*h**2 + j + v*h and give d.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*u = -0*u - 359, -2*y + 146 = -u. What is the highest common divisor of 15 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -d*l**3*x - 304*d*x**2 + d - 19585*l**2*x**2 + 23 wrt l.\nAnswer: -3*d*l**2*x - 39170*l*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/7)\/(63\/(-882))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -31*r**2. Let f(a) be the third derivative of 0*a**4 - 36*a + 0 + 0*a**3 - 7\/60*a**5 + 2*a**2. What is v(f(d))?\nAnswer: -1519*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000989114 to 6 decimal places.\nAnswer: 0.000989","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23156159317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38961772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 461467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 388*j**5 + 6835*j - 28*j**5 - 80*j**5 - 94*j**5 - 12*j**4 wrt j?\nAnswer: 3720*j**3 - 144*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 124 + 24. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -617*z + 5577. What is the remainder when 18093 is divided by o(9)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 - 1060*m**2 + 126*m**2 - 22 in the form x + d*m**2 + u*m and give d.\nAnswer: -934","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*d + d - 9, -d + 4*b + 6 = 0. Let r(k) = -11*k**2 + 4*k - 3. Let m be r(d). What is the remainder when 24 is divided by (m\/(-12))\/((-2)\/(-8))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -362465\/34 - -10663. What is the common denominator of d and ((-4)\/(-90))\/((-68)\/3145)?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(100)\/(sqrt(15)\/sqrt(3)) + sqrt(40)\/sqrt(2)*5))\/(-4*sqrt(30)\/(sqrt(36)\/(sqrt(48)\/sqrt(4)))))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3a9 + cc?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*i + 4151 = -55*i - 120*i + 667 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 2 (b) 2\/3 (c) 24\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) -78 (c) 0.5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/((-105)\/(-30)))\/(1\/(-10)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 199, 5, -1 in decreasing order.\nAnswer: 199, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1.4202 times 124.8\nAnswer: -177.24096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - n - 14 = 0, -5*p = 4*n - 22 - 3. What are the prime factors of (-5 + (12 - p))\/(4\/(-122))?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4*j = -5, -2*m = -4*j - 7 - 7. Sort -2, 0, 2, m.\nAnswer: m, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 less than -68860\/25363?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-104)\/96)\/(35\/525)?\nAnswer: -65\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 35*z**2 - 119*z - 5125. Calculate v(41).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 286325 and 47775?\nAnswer: 42089775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one tenth of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -241953 by 1.\nAnswer: -241953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -82375715 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*t + 727 = 136 - 381 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3639040 rounded to the nearest 100000?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 + 8*i**2 + 2*i**4 - 4*i**4)*(67 - 100 - 86).\nAnswer: 238*i**4 - 1190*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 6*r**2 + 8*r - 6. Let d be o(5). Does 11 divide (-8)\/(-36) + (1 - (-673)\/d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 172*d**2 - 49 + 0*d**3 - 81*d**2 - 91*d**2 + d**3. What is g(0)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1*g)**(-39)*g**(-1\/5)*g\/g**(-5)*g*((g*g\/(g\/((g\/g**(-1))\/g))*g)\/g)**(-4\/15)*(g**2*g*g*g)\/g*(g\/(((g\/g**6*g)\/g)\/g)*g*g)\/g assuming g is positive.\nAnswer: g**(-896\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 88, 1045, 2812, 5383, 8752?\n\"Answer: -f**3 + 411*f**2 - 269*f - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 9 + 13 + -25 + (-1 - -3) + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -25 times 10060\nAnswer: -251500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -18 + 7*u - 10*u - 2*u + 10*u + 2. Let h(p) = 9*p - 31. Determine -3*h(g) + 5*x(g).\nAnswer: -2*g + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-6))\/((-12645)\/3990 + 462\/147).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 80 + -89. Let g(t) = -t**2 - 9*t - 9. Give g(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 g when two letters picked without replacement from {a: 1, g: 2, s: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-2*sqrt(12))\/sqrt(4) - (sqrt(36)\/sqrt(108))**2)*-1 + 4.\nAnswer: 7\/3 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15373968 to the nearest integer?\nAnswer: 3921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-9) - 8\/36. Let b(s) = s - 1 + l*s + 2 - s**2. Suppose -4 + 19 = 5*p. Determine b(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -2\/9, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**2 - 60438*f = 0.\nAnswer: 0, 20146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73 divided by 10.\nAnswer: -73\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 63*t**2 + 65*t + 184. Calculate the least common multiple of 40 and n(-3).\nAnswer: 5560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/5*t**2 - 12\/5 - 4\/5*t - 1\/5*t**3.\nAnswer: -(t - 6)*(t - 2)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44821759?\nAnswer: 44821759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -6*g**2 - 3*g - 3. Let j(a) = -a**3 + 101*a - 9. Let w be j(10). Let m(z) = -2*z + 3*z + 4*z**2 - 3*z**2 + 1. Determine w*l(h) + 3*m(h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/117*-3 + 189\/39?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -27?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*4\/300)\/((-7)\/35).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -473*k - 1. Let p be d(-5). Let u = 46047\/8 + -194357\/24. Let v = p + u. Find the common denominator of 29\/3 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 8*k + k - 159 = k - 5*k, -8*v = -k + 433 for v.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 5*j + 35, -j - 15 = 4*j. Let x = a - -6. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 - 19)*(9 - 4*(-9)\/(-6))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1616 (base 7) in base 6?\nAnswer: -3002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1879\/4 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -12\/13 (b) -4\/3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0144169 to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (26 - 24) + (-2 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3707, 8160, 12613, 17066, 21519?\n\"Answer: 4453*s - 746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.36 + 0.36. Which is the nearest to -1\/3? (a) 0.4 (b) 2 (c) -4 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4702499957 to the nearest integer?\nAnswer: 1675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 7 + 10. Suppose -4*q = -3*q - w. Solve q*p - 9 = 4*d - d, 4*d - 3*p + 14 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3 - 9 + 20 - 14 - 5. Let d(j) = j - 55. What is -11*b(u) + 2*d(u)?\nAnswer: 2*u + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*n - 13*n + 4*n - n.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/1250 and 63\/2500.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 89?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6805 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/9 + (-12)\/54. Suppose 3*p + p - 56 = g. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46)\/(-5) - (-6604704)\/(-72420)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 6:44 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -704715.\nAnswer: -1\/704715","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is 485 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 6*q - 1905 = 0. Suppose 5*f - f = 2*h + 162, q = -5*h + 4*f. Let z = -49 - h. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 6:49 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/6 - (-3)\/4 and 127\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 2:14 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 + -1 - (-6 + 7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16 - 153*v**3 + 1981 + 34*v**3 + 60*v**3 + 35*v**3 - 33*v with respect to v.\nAnswer: -72*v**2 - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*g**(-1\/3)\/g)*g**10*g**(1\/2)*g**(-6)*g assuming g is positive.\nAnswer: g**(41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 212*r + 397. Determine m(-2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(374))\/sqrt(11))\/(-2*sqrt(4)\/sqrt(2)))**2.\nAnswer: 153\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j + 1. Let n(b) = 36*b + 36. Let p(s) = 5*s + 5. Let t(y) = -2*n(y) + 15*p(y). Let a(q) = t(q) - 2*u(q). Let l be a(-3). Is -2 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5\/9 and -56 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -0.0962681?\nAnswer: -0.01925362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-16))\/1 + (-1 - -2).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, x: 1, e: 2}. Give prob of sequence xe.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16880\/(-1925) + (-1110)\/(-20350))\/(4\/(-7)).\nAnswer: 61\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 1 + 7. Let g be 10\/d*(2 + 0). Suppose -g*k = 2*j - 70, j = -0*j. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6122*j = 5962*j - 6880 for j.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299415 is divided by 177?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 2\/7, 211, 5, -2\/9 in descending order.\nAnswer: 211, 10, 5, 2\/7, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71758, 137303, 202848, 268393, 333938, 399483?\nAnswer: 465028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) + -1*sqrt(84)*-3)\/(2*sqrt(147)))\/(sqrt(48)\/(sqrt(12) + sqrt(432)) - -5*sqrt(24)\/sqrt(6)))**2.\nAnswer: 7\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -8595, 4, -67, -4?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a = -16*a + 40. Suppose 0*j - a*j = -530. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*1*65\/(-39)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13 + 3db?\nAnswer: 3ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 10 = -2*u. Suppose -2*o - 4 = -k + 2, u*o - 75 = -5*k. Solve 2*b - k = -4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (11 - -2) - (120 - 127).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -38\/9 in 27, 3, -1\/5, 1\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -38 (base 12) to base 11\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1063, 2128, 3193, 4258, 5323, 6388?\nAnswer: 7453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 2:13 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 0 + 7\/6*r**3 + 9\/2*r**2 - 3*r. Let i(k) = -8*k - 10. Let d(z) = 6*i(z) + 7*p(z). What is d(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14.516 - 750.19. Let k = c - -764. Round k to two dps.\nAnswer: -0.71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 120\/8 - (1521 + -15). Put 0, t, 1, -3, 4 in ascending order.\nAnswer: t, -3, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - sqrt(1800)*-1)\/sqrt(6).\nAnswer: 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 267, 448, 627, 804, 979?\nAnswer: 1152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-196)\/(-16) - (-3)\/4. Solve 1 = 4*n + 3*v + i, -4*n = -4*v - 16 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1924808 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: Divide -2399 by -492.\nAnswer: 2399\/492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -28920 < 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11\/5*k + 2\/5 + 13\/5*k**2 - 4\/5*k**3 = 0 for k.\nAnswer: 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23648378?\nAnswer: 2, 13, 461, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6684 is divided by 1670.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8156, 16706, 25256, 33806, 42356?\nAnswer: 50906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 33281?\nAnswer: -33281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 58 + 2*k**2 - 7*k + 109.\nAnswer: 2*k**2 - 7*k + 182","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*o - 6*o + 4*o + (11 - 12 + 10)*(-4*o + 3*o + 3*o))*(-42 - 35 + 27) to f*o + n and give f.\nAnswer: -1100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/7*i**2 + 0*i - 6\/7*i**3 + 18\/7*i**4 + 0 + 20\/7*i**5 = 0. What is i?\nAnswer: -1, -2\/5, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 512 + -509. Suppose 0 = -l*d + 364 - 103. Does 10 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -7*b + 51. Let r(o) = -o + 895. Give q(r(t)).\nAnswer: 7*t - 6214","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5*l + 27. Let t(m) = 3*m + 14. Let k(q) = 4*s(q) - 7*t(q). Suppose -2 = -2*n + 4. Calculate the lowest common multiple of k(n) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 251.4 + 44.6. Let k = n - 299. What is the third smallest value in -4, 0.02, k?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*u - 32*u + 2*y - 91627, -y = 5*u - 152700. What is the ten thousands digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and -28770.\nAnswer: -28770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 4*l = -6*n - 3*n - 2 + 133, l + 16 = n for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/8*8\/410. Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*f - 137 + 41 = 0, -3*b = 2*f - 78. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -22481, -22482, -22483, -22484, -22485?\n\"Answer: -y - 22480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -242.9 to the nearest ten.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 49\/5 of a hour?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2754638, 2755305, 2755970, 2756633, 2757294?\nAnswer: 2757953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5399324?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -60, -333, -802, -1473, -2352, -3445, -4758, -6297?\n\"Answer: -n**3 - 92*n**2 + 10*n + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3*w + 12 = 0. Let h = -4 + w. Suppose -h*p = -5*m + 59, 3*p + 6 = -0*p. Is m a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3*t + 24 = 0, 4*k - 4 = -4*t + 6*t. Suppose -3 = r - 2. Put k, -2, r in decreasing order.\nAnswer: k, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o*o*o**(4\/5)*o*o)\/o*o)\/(o\/o**(-1\/4)))**39)**(-2\/9) assuming o is positive.\nAnswer: o**(-1183\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of 0 + 5\/2*r**3 + 112*r**2 - 1\/8*r**4 + 0*r. What is u(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5aa (base 15) in base 3?\nAnswer: -1202121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j**2*u**3 + 4*j**2*u**2 - 202*j**2*u + 157*j*u**2 - 2354*j*u + u**3 wrt j?\nAnswer: -6*u**3 + 8*u**2 - 404*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 550 + -549. Solve 28 = 9*p + y for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eaxcelu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -28619 - 1?\nAnswer: -2861a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, r: 6, j: 1}. Give prob of picking 3 r.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*g = -1292, 5*n + 3*g - 2259 = 975. Suppose -104*j = -101*j + n. Let d = j - -384. Is d a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3108723 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 2:09 AM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1197528374?\nAnswer: 2, 7, 85537741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005986705626 to 6 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bbbbbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-14998)\/1816 + 345807\/41916\nAnswer: -2\/227","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -2*d + 6, 13*j - 15*j + 4 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 48 + 192. Suppose 18 = 3*o - 12. Calculate the highest common divisor of w and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45 - 16 - 0) + -34.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269925438?\nAnswer: 2, 3, 19, 2367767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5412*u**2. Let p(h) = h**2. What is z(p(r))?\nAnswer: 5412*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 171547819 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 579 + -581. Sort -7, x, -3.\nAnswer: -7, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -6*l + 8. Let t(r) be the first derivative of -5*r**2\/2 + 7*r + 4. Let w(y) = -6*d(y) + 7*t(y). Let c = 725 + -732. Give w(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j - 8. Let f be y(7). Let k(v) = -6*v**3 - v**2 - 5*v. Let s(c) = -c**3 - c. Let n(z) = f*k(z) + 5*s(z). Find the third derivative of n(x) wrt x.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by 4608941.\nAnswer: 14\/4608941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21647 + -21602. Suppose -2*c + 5*p + 37 + 25 = 0, 4*p = -5*c + 89. What is the lowest common multiple of c and g?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3908 divided by 977.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -6*(4 + (((sqrt(162) + -1)*-1 - sqrt(162))*1 - (1 + -4 + sqrt(162) + 0))))**2.\nAnswer: -16200*sqrt(2) + 54988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16691.8 + 13559. What is p rounded to the nearest one hundred?\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * 0.93.\nAnswer: -5.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(102) + sqrt(102))\/sqrt(6) + 3 + 3*(2 + sqrt(153)))**2.\nAnswer: 198*sqrt(17) + 2138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 356660\/16*(67 - -1) + 6 + -2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125)*-2 - sqrt(125))*2)**2 + 2.\nAnswer: 4502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 1026?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4 + 1 = z, -3*d - 12 = 0. Which is smaller: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -49*a - 744. Calculate the least common multiple of q(-16) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 379 + -217. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 14*a**2 - 12*a + 15. Determine s(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddda. What is prob of sequence aadd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10102001002121 (base 3) to base 14.\nAnswer: 352307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3184 a factor of 2784116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-3)*8\/(-88)*6.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146222 is divided by 247.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -13 (b) 5 (c) 4 (d) -0.3 (e) -4 (f) -600\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/12 + 5\/(-2))*(-3 + -21)\/(-8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 141 and -1.34.\nAnswer: -188.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1924705 is divided by 962326.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0.03 (c) -0.29 (d) 17156\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32*46\/(-14352)*-52.\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 79*o - 22 + 0*o**2 - 2*o**2 - 60*o - 11. Let q be l(7). Solve 5*y - q*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 187\/240 and 31\/80?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.06423+-42\nAnswer: -42.06423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (36*l - 76 + 76)*(3*l + 14*l + 9*l) + (1 - 1 - l)*(0*l + 3*l - 4*l) to v*l**2 + x*l + o and give v.\nAnswer: 937","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 36*y - 31. Give p(35).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -6*p + 45 - 7 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 251 in decreasing order.\nAnswer: 251, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -311*u**6\/60 + 64*u**3 + u**2 + 518*u. What is the derivative of x(j) wrt j?\nAnswer: -1866*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -126 (base 7) to base 11.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 6*z**2 - 10*z + 9. Suppose -9*c + 5*c + 3*d = -34, 0 = c + d - 5. What is q(c)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2025) - sqrt(2025)*-1)\/(sqrt(245) + sqrt(245)*4 - sqrt(245)))**2 + -2 + 2.\nAnswer: 405\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(-2*sqrt(396) - sqrt(396)))\/sqrt(9)*-6 + 4 + -3)**2*4.\nAnswer: -288*sqrt(11) + 57028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -20060 divided by -2006\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1289.945 - -1286. Let y = i + -0.055. What is the smallest value in 1, 2\/7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1434696 and 2869392?\nAnswer: 2869392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/31931 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 2)\/(-2) - -25. Let y be (-4)\/(-6) - 153\/w. Sort 4, -2, y.\nAnswer: y, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1219023 by 45149.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a century in decades?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0, 837 in decreasing order.\nAnswer: 837, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 55 = 5*l, 43*h = 41*h + 10*l - 10 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 56645 - 56645 - 18*o. Suppose -j = 4*z - 14 - 5, -2*j = -2*z + 2. Let u(f) = f**2 + z - 4. Determine k(u(v)).\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -150492, -150491, -150490, -150489?\nAnswer: -150488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 13*c + 33. Let u be a(-15). Factor 4*i**4 + 2*i**5 - 3*i**5 - 14*i - 4*i**3 + u*i**5 - 16*i**2 - 4.\nAnswer: 2*(i - 2)*(i + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05623 - 575?\nAnswer: -574.94377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - -4. Let s = 26 + -24. Let z be 30\/(36\/6) + (s - -1). Which is smaller: f or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 561 divide 280560411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.841 rounded to one dp?\nAnswer: -17.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 656*d + 6559. Let g be k(-10). Let w(i) = -2*i**2 - 4*i + 7. Let t(a) be the first derivative of a**3\/3 + a**2\/2 - a + 3. Calculate g*w(c) - 5*t(c).\nAnswer: -3*c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 1. Let x(d) = 12*d - 6. Let o(g) = -15*i(g) + x(g). Let n be o(-7). Does n = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 12) to base 8\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 1\/6 (b) 1 (c) 4 (d) -76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2618*p = -833*p + 4229*p + 330770 for p.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -0.7, -11, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35)\/sqrt(7)*4)**2 - (0 + sqrt(125) - sqrt(125) - sqrt(5)))*-3.\nAnswer: -240 - 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/2, -0.02 in decreasing order.\nAnswer: 1, -0.02, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 121543752901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7*120\/(-1050)*10\/(-12)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8408 rounded to two dps?\nAnswer: 0.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 26284738 a multiple of 1043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29145195.\nAnswer: 3, 5, 107, 6053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*f**2*z**2 + 75*f**2 + 3*z**2 + z with respect to z.\nAnswer: 12*f**2*z + 6*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71125, -71126, -71121, -71104, -71069, -71010, -70921?\nAnswer: -70796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*n + 28*n + 121800000. What is n rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of 1\/12*o**6 - 5*o**2 + 0*o**3 + 0 + 1\/15*o**5 + 0*o + 0*o**4. Find the third derivative of j(k) wrt k.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**5\/2 + 12633*g**4\/2 + 28805844*g**3 + 55948137128*g**2 + 39249035817600*g + 39193116480000 = 0?\nAnswer: -4216, -2100, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - 32) + 8 + -18 + -4 + 1.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 148.999874 - 149. What is u rounded to five dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*r = 25*r + 2178. What is the highest common factor of r and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2 - 6 = 0. What is the highest common divisor of c and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4858449?\nAnswer: 3, 593, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 14 = 4*d. Suppose 0 = 6*h - d*h - 104. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.052 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**2\/2 + 4922953*z\/2 = 0.\nAnswer: -4922953, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6234 + 2?\nAnswer: 6236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 5*w - 35, -5460*w + 5413*w + 5*a + 398 = 0 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 10219*h = -10215*h + 56, -58 = 3*t + 2*h for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -385441, -770874, -1156279, -1541644, -1926957, -2312206, -2697379, -3082464?\nAnswer: -3467449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 550441 (base 7) to base 5\nAnswer: 11040030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 1 + 32\/(-18). Let q = -1.65 + 1.65. What is the biggest value in q, x, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1297092, -1297090, -1297088, -1297086?\nAnswer: -1297084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.05 equal to -63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8847 divided by 1880?\nAnswer: 8847\/1880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from akhhhuk. Give prob of sequence kak.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -15031 (base 7) in base 8?\nAnswer: -10052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3720 + -3468. What is the greatest common divisor of 42 and u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17.3 + -2.3. Let j = 2391 + -2392. Which is the smallest value? (a) j (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.50537 meters in micrometers?\nAnswer: 11505370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r + 2. Let k be w(5). Let g(y) = 75557*y**2 + 3*y - 4. Let p be g(k). Round p to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 25 - 0*(-4)\/(-8). Suppose -27*y = -x*y - 180. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-2\/25))**(-15)*(d\/d**(2\/11))**(-4))**15 assuming d is positive.\nAnswer: d**(-2817\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11762 - -12777. Calculate the remainder when n is divided by 31.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, -180, -254, -310, -342, -344, -310, -234?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -d - 44. Let w = -41 + d. Let m = 2.8 - 3. Sort 1, w, m in decreasing order.\nAnswer: w, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 1)\/(5\/35). Let z be (4 + (3 - x))\/(-2). Put z, -10, -3 in ascending order.\nAnswer: -10, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 12 + 8 = 0. Let w(t) = -2*t - 1. Let d be w(y). Let s(c) = 7 - d - c. Let v(l) = l. What is s(v(z))?\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -39370, 1\/6, 4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 95939733 rounded to the nearest one hundred thousand?\nAnswer: 95900000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(2 + -3 + -29). Sort 3\/8, 0, z in ascending order.\nAnswer: 0, z, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16364 - -20039. Calculate the lowest common multiple of g and 3675.\nAnswer: 3675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 - 39.1. Is t at least as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(475) - (2 + 2*sqrt(475) - sqrt(475)))*6)**2 - (-3*(2 + sqrt(475) + sqrt(475))**2 + (sqrt(475)*2 - sqrt(475))*-6)).\nAnswer: 150*sqrt(19) + 5859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + -2. Let y be (-160)\/28 - (-8)\/(-28). What is the units digit of y\/w - (-1 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26487 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 8. Let m be (-25)\/5 + (9 - -1). Let w = m + z. Which is the third smallest value? (a) 2\/11 (b) 2\/15 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -186682208 <= -186682210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11603 by -283.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*o**4 - 3*o**2 + 15*o**2 - 14*o**2 - 44*o**4 - 17*o**3 as h*o**2 + s*o**4 + y + b*o + p*o**3 and give p.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 292\/(-700) - (-24)\/56. Let n = d + 1567\/700. Which is greater: n or 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1221 - 25647299624.\nAnswer: -25647298403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*w + 13 - 13)*(-3*w + 4 - 4) - 10 - 2*w - 15 - 5*w**2 + 23.\nAnswer: -29*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 5\/2, -13\/3, 0.06?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 799466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*y + 3, 34 = -2*v + 4*y. Let f(m) = -m**3 - 10*m**2 + 11*m + 3. Let s be f(v). Factor -4 + 2*d + 7 - 5*d - 3*d**2 + 3*d**s.\nAnswer: 3*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, -542, -3, 1, -4, 2 in ascending order.\nAnswer: -542, -72, -4, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -798 * 20058\nAnswer: -16006284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*l - 1745408*j + 1745406*j, -6 = -3*l + j for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-1) - -47)*1. Suppose -4*d + j = -12. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/6*32\/(3 + -7). Suppose -4*r - 16 = -5*u, 0 = m*u + u + 5*r - 25. Solve u*x = -4 - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3281525062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -716*m + 35*m - 84*m - 27540 = 0 for m.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7458 + 7474. Solve -g*m + 4 - 36 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/1 - (7 - 8). Suppose -n*v + 10 = -v. What is the remainder when 18 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*q = -17, -2*i - 4*q - 70 = -5*i. Let k be 24\/(-204) + i\/(-102). Suppose j - 11 = -5*u, -3*j + 10 = 4*u - j. Put k, u, 1 in decreasing order.\nAnswer: u, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-14))\/(-5*5\/175).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + (4 - 3) - (4 + -6)) + -5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39430.8 micrograms to grams.\nAnswer: 0.0394308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-5*(-4)\/120). Let c be (-4)\/z - 16\/(-9). Solve 2*l = -3*a + 3, -5*a + c*a + 18 = -3*l for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*q - 44*q + 76*q - 15*q**3 + 2*q**3 + 6*q**3.\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1314 - 3111362?\nAnswer: -3113006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o - 3*o + 2*o)*(-3 + 3 - 2*o) + (2 - 7*o - 2)*(8 - 8 + 5*o) to the form s*o**2 + n + v*o and give s.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzqzqzqzzzzzzz. Give prob of sequence qzqz.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 f when two letters picked without replacement from {q: 3, f: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + ((-21)\/(147\/(-100)) - -8))*(-329)\/(-94)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/14612975 and -29\/300?\nAnswer: 175355700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3441026 is divided by 18500.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 4*f**2 - 4*f - 2. Let a be p(-3). Let d be (a - -7)*48\/32. What is the highest common divisor of d and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25623138 - 43082.\nAnswer: -25666220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 91 - 18. Let k = f - 107. Which is smaller: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 146497 + -95288. Round f to the nearest one hundred.\nAnswer: 51200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2966 - -2997. Solve r*k - 28*k = -9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5523765 to the power of 1\/2, to the nearest integer?\nAnswer: 2350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**2 - 2*t**2 + 4*t**2 + (-2*t + t - t)*(0 - 2*t + 0) + 4*t**2 - 2*t**2 - t**2 + (-1 + 1 - t)*(-78*t + 604 - 300 - 302).\nAnswer: 84*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v**3 - 72*v**2 - 87*v. Let p(z) = -z**2 + 2*z. Let i(x) = n(x) + 6*p(x). Factor i(j).\nAnswer: -3*j*(j + 1)*(j + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 + (-11 - -6) + -99 + 5.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a millennium in decades?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 - 23. Let p be 6*-2*i\/6. Let c(d) = d**3 + 6*d**2 - 8*d - 17. Is 16 a factor of c(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 1. Let f(n) = 14*n - 2. Let k(o) = -f(o) - 2*z(o). Let m(l) = -2*l. Give k(m(a)).\nAnswer: 28*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*j - 12*j - 35*j - 15*j - 16*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -2, 11, 0.8, -1\/13, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 9:30 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**6\/160 - k**5\/16 - 3*k**4\/2 + 27*k**3\/2 - 4*k**2 - 11*k. Suppose y(u) = 0. Calculate u.\nAnswer: -6, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.5 + 1.5. Let b = -11.99 - h. What is the smallest value in b, -2\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s**17*s*s)\/s)*s*s)\/(s*s**1\/s))**(23\/2) assuming s is positive.\nAnswer: s**(-184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 6*m - m - 41121, -13721 = -w + 3*m. What is the thousands digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4749, -4751, -4753, -4755?\n\"Answer: -2*f - 4747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 4*w - 14, -2*w - 12 = -4*d - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y + 7. Let h be k(5). Suppose -b - 6 = -h*j, 3*j = -3*b + 2 + 25. Solve -m + b*m = 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3015 and (-72)\/(-20)*3*(-25)\/(-15).\nAnswer: 6030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1338 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2951.\nAnswer: 13, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1836 - -1008. Is -828 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 16*s**3\/3 + 2*s**2 - 15*s + 78. Is r(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 8*n - 9. Let l be z(-6). Suppose -l*r + 2 = -4. Let u be (-2 + r)*2\/(-4). Which is the nearest to u? (a) -0.2 (b) -3 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.14, 99, -3\/5 in increasing order.\nAnswer: -3\/5, -0.14, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 h when four letters picked without replacement from {z: 7, e: 5, h: 2, r: 1, t: 3}.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 218*o**2 + 1826*o + 149. Calculate s(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 655*q - 661*q + 30 = 0. Let f(r) = -6*r**3 - r**2 + 5*r + 3. Let z(v) = 5*v**3 - 5*v - 2. Let h(y) = -4*f(y) - 5*z(y). Determine h(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s + 13. Let k be y(-6). Let n(o) = -5*o**2 - o - 94. Let r be n(11). Is 2\/k - r\/14 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 91 + -87. Suppose -20 = -5*z, -4 = q*f - z - 0*z. Solve 0 = -2*x - 4, 3*x + 6 = -4*n - f*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3889 and -0.053864107.\nAnswer: -0.442764107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -64*q + 22*q - 17*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 0*b**6 + 0*b**5 + 0*b**7 + 0*b**2 + 0 - 4*b + 0*b**3 + 3\/28*b**8 - 1\/2*b**4. Find the third derivative of w(i) wrt i.\nAnswer: 720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 308441 times -488?\nAnswer: -150519208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uyvuyuduvfyd. Give prob of sequence yuu.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -8*z - 6. What is the greatest common factor of 9 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13.1 + -14.52. Let q = i - -1.5. Which is smaller: -2 or q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c*c**(-1\/3)*c)\/c*c)**(8\/5)\/(c**1)**(7\/2))**(-27\/2) assuming c is positive.\nAnswer: c**(-207\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*k + 6 = -7*k, -5*c - 4*k + 19 = 0. Suppose -3*g - 15 = -5*q, -2 = -c*q + 4*g - 4. Is q 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 2:54 PM and 12:46 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25.9 - 26. What is the closest to -0.1 in -15, 0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 times 0.4144347\nAnswer: -0.58020858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46452?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0141814898 to 4 dps.\nAnswer: -0.0142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 96672929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 5\/(15\/84)*(-323)\/(-34).\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -483, -497, -521, -555, -599, -653?\nAnswer: -717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5403 - 5099 = -5*z, 4*z + 3*t - 8394 = 0. Is z a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15023 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-4))\/((-117)\/(-65)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*p - 17*p. Are 2 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 116 and 3094242.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 - f - 1. Let p be k(-1). Find the second derivative of -11*l**2 + 23*l - 5*l + 34*l**p wrt l.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 9:09 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 = 5*q - 5*q + q + 10*s, 18*q = -5*s - 55 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/15 (b) 2\/9 (c) 0.4 (d) -2 (e) -10482 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 5*a + 0*a)*(-1494*a**3 + 330*a**3 - 2*a**2 + 2*a**2).\nAnswer: 3492*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 733*q = -734*q - 11, -3*f + 21 = -4*q. Suppose -2*c + 4*p + 12 = 0, 0 = 2*c - 5*p + 2*p - 7. Put c, -5, -43, f in decreasing order.\nAnswer: f, c, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 445 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*b - b = 9, 0 = -5*u + 3*b + 19. Suppose 3*d = u + 4. Solve -c = d*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 6*q**2 + 78*q - 2672. What are the prime factors of t(52)?\nAnswer: 2, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 226720609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -39394, -4, 3, -15, 0 in decreasing order.\nAnswer: 3, 0, -4, -15, -39394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*k**4 - 9*k**3 + 134*k**2 + 14693*k.\nAnswer: 72*k**2 - 54*k + 268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4)\/d*d)**(1\/45)*(d**11*d)\/(d\/d**5) assuming d is positive.\nAnswer: d**(716\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67 - 30. Calculate the remainder when l is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -3*z**4\/4 + 3*z**3 + 6*z**2 + 29. Factor t(s).\nAnswer: -3*s*(s - 4)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 48*k**2 + 493*k + 19. What is u(15)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 525*c. Let d(y) = -y**2 + 59. Calculate g(d(v)).\nAnswer: -525*v**2 + 30975","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -663*z - 2550 = -714*z. Let c = 30 - -100. What is the greatest common factor of c and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 + 118. Suppose -z = 3 + 9. Let n = z + w. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.6961 - 0.2\nAnswer: 8.4961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 3)*(-a + 4*a - a) + (1 - 1 - 1)*(-50 + 50 - 2*a))*(-3 + 3 + 2*a**3).\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64 + 64. Factor 0*g + 1\/2*g**2 + t.\nAnswer: g**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 29, 15, 1, -13, -27?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 2*u + u)*(-1 + 2 - 3) + (3 - 5 + 3)*(-2*u + u - u).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 4)*(2*u**3 - 6*u**3 + 2*u**3)*(-298*u - 45*u - 140*u).\nAnswer: 1932*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.2 + 7.3. Which is the nearest to -0.2? (a) 1\/4 (b) -0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1240699 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -238*n**5 + 212*n**5 + 149*n**5 - n - 2*n**5 + n + (-3*n**3 + 12*n**3 + n**3)*(2*n**2 - n**2 + n**2).\nAnswer: 141*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-121)\/22 + -3 + 7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 3121034?\nAnswer: 3121031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -221025 - -21?\nAnswer: -221004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 412 + 422 - 834 - 6970*j. Let p(t) = 2*t. Determine p(m(w)).\nAnswer: -13940*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/90 and 131\/23310.\nAnswer: 23310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 1.867?\nAnswer: -6.867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 632 and 632?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 999257491 to the nearest integer?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 664043?\nAnswer: -664040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 174442 (base 8) to base 10.\nAnswer: 63778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1367285 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/5*-3)\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 7*k**2 - k - 5. Determine d(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.7 - 7.2. Let k = 347.9 + -348. Put 1\/4, 0.1, k, p in ascending order.\nAnswer: p, k, 0.1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.951 + -6. Let h = t - -0.049. Let d = h - -0.000248. What is d rounded to five decimal places?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47 - 22. Suppose -r - s = -4*w, 3*r - 6*r = -9. Solve -3*n = -w - 5 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -d**5\/20 + 2*d. Let w(a) = 5*a**3 + 2*a**2 + 2. Determine -4*c(q) - w(q).\nAnswer: -q**3 - 2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -3*l + 15, 2*t - 2*l - 5 = -3*l. Suppose -4*i - 6 = 2*r - t*r, 24 = 4*r - i. Calculate the highest common factor of 55 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.27 times -3.145744\nAnswer: -0.84935088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 - 1957*m + 130272.\nAnswer: (m - 1888)*(m - 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20424530?\nAnswer: 2, 5, 7, 291779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -y**5\/30 + 5*y**4\/12 - y**3 + 36*y**2. Let o(b) = -26*b + 4. Let a be o(10). Let c be 2\/11 - a\/44. Calculate n(c).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 56643, 113263, 169851, 226413, 282955?\n\"Answer: t**3 - 22*t**2 + 56679*t - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r + 26 + 34 + 0*r + (-4 + 1 + 2)*(-2*r - 2*r + 5*r) + r + 5*r - 4*r.\nAnswer: 3*r + 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 81816.\nAnswer: 163632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 1:38 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*o = 10. Which is the nearest to 1? (a) 3 (b) -2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, n: 3, k: 1, e: 1, m: 5}. Give prob of picking 2 w.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12195283 and 551.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 9*n - 64*n + 17 - 33*n.\nAnswer: -88*n + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 41*i**2 - 178*i + 3 + 177*i + 39*i**2 + (2*i**2 + 0*i**2 - 4*i**2)*(-5 + 2 + 2).\nAnswer: 82*i**2 - i + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4)\/(z*z**(4\/5)\/z))**10 assuming z is positive.\nAnswer: z**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 4*p + 12 = -3*n, -4*p + 12 = 2*n. Let o = 3772\/13 - 290. Which is the nearest to o? (a) 1 (b) p (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5470970.\nAnswer: 2, 5, 547097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 17360155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10024 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73 + 106. What is the remainder when n is divided by (-1 + -35)*4\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -110\/3 (b) 2\/17 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.646639 millennia to years.\nAnswer: 646.639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 432 divided by -4\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 92*r**3 + 5*r**2 + 2*r + 8. Let g(y) = 116*y**3 + 5*y**2 + 2*y + 9. Give -4*g(b) + 5*k(b).\nAnswer: -4*b**3 + 5*b**2 + 2*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(7) + 1 + -5).\nAnswer: -2*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76262850 divided by 22950.\nAnswer: -3323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 455 - 1065?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x**3 - 5*x + 5. Let k(r) = -r + 1. Suppose -22*j + 17*j - 2*w + 158 = 0, 4*w = 2*j - 44. What is j*k(o) - 6*d(o)?\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 0.5 (b) -94 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-24)\/20*260\/(-360) and 1 + 17*(-3)\/27.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k. Let c(p) be the second derivative of -17*p**3\/6 - p**2\/2 + 18*p + 3. What is o(c(q))?\nAnswer: -68*q - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 62937?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -102101323301 (base 4) in base 15?\nAnswer: -649cee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*g - 1 - 1 + 2 - g**2.\nAnswer: -g**2 + 30*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 2:19 PM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 193977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/20 + ((-24717)\/(-44))\/3. Solve p = 44*i - 77 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-16) - (-18)\/(-20). Suppose -3*o - 10 - 2 = 0. Sort o, 2\/5, s in decreasing order.\nAnswer: 2\/5, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m + 400 = 2*m + 556 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 559194 divided by 6.\nAnswer: 93199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1246*p = 1265*p - 152 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2 + 1 - 1 + 5*s + 0. Let r(d) = 4*d + 1. What is -3*p(m) + 4*r(m)?\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*j + 4*j. Suppose -3*g + 70 + 115 = 5*d, -3*g = j. Factor y**4 + 0*y**4 + 37 - d.\nAnswer: y**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 93904046?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.5 - 9.6. Let z = 5 + m. What is the third biggest value in z, 3, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1.3 (b) 0.05 (c) 1 (d) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/450 and 62\/405?\nAnswer: 4050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*k - 2548 + 14824 = 283*k for k.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {u: 1, l: 2, m: 4, w: 6}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence imz when three letters picked without replacement from {m: 1, w: 4, i: 2, j: 2, z: 1}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200) + 3*(-1 + sqrt(200))**2.\nAnswer: -50*sqrt(2) + 603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 22*u**2 + 40*u - 12. Calculate g(-20).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 213120 to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -95, -126, -175, -248, -351?\nAnswer: -490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*l + 3. Let x = -0.03 + 2.03. Let f be 2\/3 - (-20)\/(-48). Which is the nearest to f? (a) l (b) 3\/2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6*v**2 - 28 - 3*v**2 + 34.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5676*k. Let y(u) = -71*u - 2. Determine y(i(x)).\nAnswer: -402996*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 5*x**2 - 4*x + 38. Let u be i(4). Suppose -290 = u*p - 302. Solve 0 = -2*m - p*h + 2, 4*m = -2*h + 6*h + 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w = -5*h + 15*w - 28, -3*w = -12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -287 + 169. Let m = 172 + d. Which is the closest to 1? (a) 4 (b) -2\/9 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**13*d**20 assuming d is positive.\nAnswer: d**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 602\/129*612\/(-119)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**0*v)**(-10\/3)*(v**(1\/4))**(-5\/17))\/(((v*v**(-5))\/v**9)\/(v\/(v\/v**(-2))*v)**(-45)) assuming v is positive.\nAnswer: v**(10457\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.7 in -3, -19, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -5*i**2 + 9*i. Suppose 0*s + 45 = -5*s. Let d(r) = -3*r**2 + r. Let m(h) = 5*h**2 - 2*h. Let f(a) = -8*d(a) - 5*m(a). Calculate s*f(g) + 2*b(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38433?\nAnswer: 3, 23, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 3*i + 2*i)*(2 - 6 - 6)*(0*i**4 + i**4 + 0*i**4).\nAnswer: -10*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/5)\/((-1)\/(-5)). Let x(m) be the first derivative of -33*m**2 - 5*m - 29. Is x(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-38181)\/208)\/11*4\/(-6) and 109\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 2, 3, -12 in decreasing order.\nAnswer: 3, 2, -12, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -9 - -14 - -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 2. Suppose -i*x = -2 - 13. Suppose -5*f = -5*k, 3*f + 4*k - 27 = -2*f. Solve -5*q = f*v + 1, x*q + 3*v + 3 = -0*v for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -t**2\/2 - 5*t + 4. Let w be u(-7). Suppose 18 = y + w*y. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/11 - 102*t**2\/11.\nAnswer: 2*t**2*(t - 51)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-26))\/(y*y**(-20)))\/(y\/((y\/(y*((y*y**(-1\/6)*y)\/y)\/y*y)*y)\/y))**(2\/45))**(4\/19) assuming y is positive.\nAnswer: y**(-3284\/2565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - g + 7. Let y be n(-4). Which is the third smallest value? (a) 1\/2 (b) -4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/467914327 or 0?\nAnswer: -1\/467914327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2884.734 millennia?\nAnswer: 34616808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422777 is divided by 422662?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1662*y**3 - 17378*y**3 + 3*y - 3*y + 1184*y**3.\nAnswer: -17856*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmmmmm. What is prob of picking 4 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*v = -2*m + 174, 3*v + 681*m + 24 = 678*m for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 2:41 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116, 9, 152, 307, 468?\nAnswer: 629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + w = 6. Suppose -f = -w - 49. Let z = 150 - f. What is the highest common divisor of z and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + d. Let v(s) = 17*s**5 + 4*s**3 + 19*s**2 + 4*s. Let n(p) = 4*j(p) - v(p). What is the third derivative of n(r) wrt r?\nAnswer: -1020*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - 4. Let h = k - -6.00000052. What is h rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 3) + -30 + 29 - (40 + -9).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -68*h**3*p**3*w - 27*h**3 - 12*h**2*p**3 + 2*p**3*w wrt w?\nAnswer: -68*h**3*p**3 + 2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 k when two letters picked without replacement from xkkkvxvxkk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**5 + 0*b**5 + 2*b**5 + (-11*b**4 + 7*b**4 - 15*b**4)*(3*b + 6*b - 6*b).\nAnswer: -55*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 0 + 2*k**2 + k**3 + 2*k**2 + 0. Give i(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8311*j**3*l*o**3 - 4*j**3*l*o**2 + 121*j**3 + 4*j**2*o**2 + 3*j*l*o**3 - j*o**3 wrt o?\nAnswer: 49866*j**3*l + 18*j*l - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 22463647 and 22463644 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 243452305?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/31)\/c*c*((c*c*c**3*c*c)\/c)\/c)**(-1\/12)*(c**5*c*c**(4\/9))**(5\/7) assuming c is positive.\nAnswer: c**(32663\/7812)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*g**2*j**3*y**2 + 337*g**2*j**2*y**2 - 5*g**2*j**2*y - g**2*j*y + 19*g**2*j - 15*j**3*y wrt y?\nAnswer: 68*g**2*j**3 + 674*g**2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t - 2. Let o(y) = -y**2 + y + 1. Let w be o(-2). Let j be z(w). Let d = 1 + -1.1. Which is the biggest value? (a) d (b) j (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 9*h**2 - 9*h + 15. Let k be s(-10). Let y(c) = -5 + 11 - k. Let a(b) = 3*b - 4. Let n = 6 + -4. Give n*y(z) + a(z).\nAnswer: 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 318680633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -246 - 2?\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 3*b - 1190, 2*v + 656 + 960 = 4*b. Let l = b - 192. Suppose w + w + 4*f = 76, 5*w - l = -5*f. Is 16 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 4*v + 1128 - 4108, -5*v - 10 = 0. Let k = 754 - n. What is the highest common divisor of 3 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 130*s - 121*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f + 12. Let x be a(-4). Suppose 0 = -x*y - 3*t + 46, 2*y - y + 4*t - 18 = 0. Is y a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 62089870?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6.5? (a) -0.03 (b) 1\/5 (c) 0.06 (d) 34\/7 (e) -4\/5 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -35, -2, 2 in ascending order.\nAnswer: -35, -9, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p = -12*p - 154 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0071128479 rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t + 18*t + 15*t + 45*t.\nAnswer: 72*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -33*f**4\/2 - 53*f**3\/3 - 41. What is the third derivative of u(r) wrt r?\nAnswer: -396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - (-1 - -1) - (1509 - 1513).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 118705 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 5, -97\/2, -5, 0.3, -131?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.6 and 1?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 2*r - 20, 0 = o + 2*r + 6. Suppose 2*u - 30 = -2*b, -20 = u + o*u. Calculate the remainder when 73 is divided by b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -68 - -77. Let c be 3\/(-18)*2 + 3\/t. Suppose 5*j - d - 10 = c, 4*j - 23 = -4*d + 9. Solve -2*s - 2 = -j*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 69, 141, 211, 279, 345, 409, 471?\n\"Answer: -x**2 + 75*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -500342 (base 8) in base 2?\nAnswer: -101000000011100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1005 and 1255005?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 14*s**2 + 14*s + 18. Let d be w(-13). Suppose -m - 3*m = -2*o - 16, -2*o = 8. Let u(y) = -6*y + y - 2*y**m + d*y - 1. Calculate u(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(-2\/11))**(2\/135))**(2\/13))**(2\/37))**22 assuming x is positive.\nAnswer: x**(-32\/64935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 266427, -2, 3\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + g - 11 = -4*g, 0 = -4*i + g + 2. Let n = 5 + -5. Let u = n - i. Let w(a) = -2*a + 1. Calculate w(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 889 + 357. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -184529520 and -1.1.\nAnswer: -184529521.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13)\/65 - 9\/((-225)\/(-32470)). Round g to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**4 + 0*o**4 + 0*o**4 + (-2*o - 2*o + 3*o)*(-3*o + 3*o + 4*o**3) - 4*o**4 - 9*o**2 + 9*o**2.\nAnswer: -6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -21 - (-1 + (3 - 3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 202 - 9*u - 202 - u**3 to the form k*u + a*u**2 + w + s*u**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -5. Suppose -p*c + 2*j + 99 + 371 = 0, 0 = -3*c - j + 271. Let o = c + -59. Is 13 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p = -2 - 26 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -125576, -125283, -124990?\nAnswer: -124697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 225145, 450099, 675053, 900007, 1124961, 1349915?\nAnswer: 1574869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32684 and 16?\nAnswer: 130736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from vvvvkjj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6458 + -6458.000006711. Round j to 7 dps.\nAnswer: -0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dkhlldd. What is prob of sequence ddh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(6*(-1 + sqrt(2)) + -5).\nAnswer: -36*sqrt(2) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128 - 113 = -5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*((-4*sqrt(80) + 5)*-6)**2 + -4.\nAnswer: -17280*sqrt(5) + 140938","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175283104.\nAnswer: 2, 233, 23509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**2 - 40*g + 138 = 0.\nAnswer: -23, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*k**2 - 12*k**2 + 2*k**2 + 3*k as n*k**2 + l + r*k and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -7*d**3 + 8*d**2 + 5*d - 2. Let a(c) = -10*c**3 + 12*c**2 + 8*c - 3. Calculate 5*a(o) - 7*u(o).\nAnswer: -o**3 + 4*o**2 + 5*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2148 is divided by 1068.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1432 + -1431.3743. Let r = -1 - -1.61. Let z = j - r. Round z to three decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 885412921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/2 - 42462*j + 424545\/2.\nAnswer: 3*(j - 28303)*(j - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = -11*v + 55. Calculate the greatest common factor of 322 and v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + q**2 + 7)*(-3*q + 10*q**2 + 3*q) + 3*q**4 + q**4 - 2*q**4 + 2*q**4 + 0 + 0 + (0 + 0 + q**2)*(2*q**2 - 2*q**2 - 2*q**2) - q**4 - q**4 + 3*q**4.\nAnswer: 13*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -p - 0, -3*y + 24 = -5*p for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 129269, 129163, 128877, 128321, 127405?\n\"Answer: -15*b**3 - b + 129285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 4:24 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -577*z**2 - 593*z**2 + 1168*z**2. Let s(x) = 111*x**2. Give d(s(b)).\nAnswer: -24642*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 2*r + 19 - 32 = -15, 11 = -5*w - r for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 25 - 5. Suppose b + a = -n*b + 35, 0 = -3*b + 5*a - 7. Suppose 83 = -5*q + b*q. Round q to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + a**2 + 78 - 42.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -v**4\/12 - v. Let n(d) = 12*d. Determine n(j(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 8 = 2*x - 4*w, -x = 2*w - 8. Suppose 88 = 12*i - 14*i + 13*i. Solve -i = -x*d - 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121bc (base 14) in base 6?\nAnswer: -540534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3196797 to the nearest integer?\nAnswer: 1788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43451 = 2711*o - 60654 - 96509 for o.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20308238 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3767416.\nAnswer: 2, 470927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 10 - 18. What is the second derivative of -13*w - 18*w**4 - 7*w**4 + 12*w + w**3 + 10*w**d wrt w?\nAnswer: -180*w**2 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of a**2 + 0*a + 0*a**4 - 1\/120*a**6 + 0 - 1\/6*a**3 + 1\/30*a**5. Suppose 0 = -s + 3, -7*o + 2*o - 4*s + 17 = 0. Calculate r(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/170 and -77\/166190.\nAnswer: 2825230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (49 - -2) + (0 + 2)\/(1184\/(-22) + 54).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 101\/25099 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -344*x - 10494. Give b(-28).\nAnswer: -862","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 6*i**2 - 2*i - 4. Let p(x) = 5*x**2 + x + 4. Let q(a) = -5*p(a) - 4*y(a). Give q(3).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 289791581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 282205534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5093160?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -304 - -484. Let v be (m\/14)\/(10 - (-138)\/(-14)). What is the greatest common factor of v and 450?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 - -26.4. Let v = -0.4 + a. Let d = -2 - -3. What is the closest to d in 4, -0.4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -36837300946 and -20.\nAnswer: -36837300966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*v = -0*v + 32, 2*v + 40 = 4*w. Calculate the least common multiple of 14 and w\/28 + (-40)\/(-7).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (21\/(-42))\/((-3)\/30 - 0). Solve -r + d*a = 28, 2*r + 4 = -a + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 1662112?\nAnswer: 1662112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**4 - 2*w**3. Let n(t) = 3*t**4 - 7*t**3. Let c(s) = 7*f(s) - 2*n(s). Factor c(v).\nAnswer: v**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of m**3\/3 + 3. Let u(i) be the third derivative of 0*i**3 + 0*i + 1\/20*i**5 + 4*i**2 + 0*i**4 + 0. Determine a(u(l)).\nAnswer: 9*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = 1 + 39. Calculate the remainder when 1*(-1)\/c + (-680)\/(-25) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2*-2)\/((-8)\/52). Let d be (-4 + -1 + 3)*-20. Let g be 4\/10 - v\/d. Which is the smallest value? (a) g (b) 1\/7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -49034*o + 97896. Give s(2).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 4*d + 8 = 0, -5*g = -9*g - 4*d - 24 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/4)\/w)\/w*w**1\/w*w*(w\/(w**(2\/23)*w))\/((w\/(w**(-5)\/w))\/w) assuming w is positive.\nAnswer: w**(-629\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -215, -708, -1669, -3254, -5619, -8920, -13313?\nAnswer: -18954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*g = -12, c - 5*c + 3*g = -3. Let n = 397 - 394. Suppose 4*x = c*t - 58, -n*t + 2*x = -t - 40. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 410942?\nAnswer: 2, 7, 149, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-6)*(14*112\/98)\/22?\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -81 + 89. Suppose 45 = a + n*a. Suppose 5*h - 5*j = -j + 1517, -3*h = a*j - 925. What is h rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 = -7*a - 11. Let f be (((-40)\/70)\/(4\/a))\/1. Let h(d) = -d - 1. Give h(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9009 = 14*z - 3*z. Does 22 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10764305413 - -0.7\nAnswer: -10764305412.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p - 1. Suppose 5*y + 34 = 4. Let h(n) = 4*n + 6. Calculate y*j(q) - h(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 2. Let z(s) = s**2 - 6*s + 4. Let y be z(6). Let f = 3 - y. What is the smallest value in h, 0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**3 - 3*f**3 - 7*f**3.\nAnswer: -11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47779476.\nAnswer: 2, 3, 229, 17387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -1 - 5 - a + 1 - 1 + 4*a. Let w(n) = -n. Determine h(t) + 2*w(t).\nAnswer: t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*o - 4*o + 13*o + (-3 + 4*o + 3)*(-3 + 0 + 1))*(-1 - o + 1)*(o + 2 + 0 + o) to x*o + v*o**2 + w*o**3 + r and give w.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8 - (-14)\/2)*4 + (-4)\/(-1). Solve 0 = -10*a - i*a - a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 9*y - 19. Determine o(-9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -265018, -263747, -262476?\n\"Answer: 1271*q - 266289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-231)\/(-22))\/(3\/6). Let q = 27 + -29. Let y be q - ((-3860)\/45 + 6\/(-27)). Calculate the greatest common factor of y and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttmttttmtttm. What is prob of picking 3 m?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 9*k + 5259 = 11*k + 5256, -k = 9*v + 30 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 641, 1523, 2381, 3203, 3977, 4691, 5333?\nAnswer: 5891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -1. Let l(w) = 3 + 2 + 0*w - 2*w - 3*w + 4*w. Let m be 1\/(2\/8) + 0. Calculate m*t(p) + l(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -113.909061 to 2 decimal places.\nAnswer: -113.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a**3 - a**2 + 3*a + 3. Calculate m(-2).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -156, -309, -448, -567, -660?\n\"Answer: u**3 + u**2 - 163*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 11:08 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 7*y**2 - 2*y**5 + 4\/3*y**3 + 15 + 6*y - 3*y**4 - 1\/3*y**6. Determine m so that p(m) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 2*c + 16, -3*t + 45 = 2*c + 81 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1890840 and 23320360.\nAnswer: 69961080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 130620838 to the nearest integer?\nAnswer: 11429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/63 - (-345)\/27. Which is greater: 12 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 882.226 - 1585.45. Let j = 706 + p. Let u = j + -2.7. What is u rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -221?\nAnswer: 2\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 898101.\nAnswer: 3, 29, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -3, 0*y - 7 = -2*y - 3*k. Let j be (-33)\/(-15) + y\/(-10). Suppose 0 = 2*p - 1 - 3. Solve -5*x + p*x = -6, u + j*x = -1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/67 (b) -2\/17 (c) -4 (d) 4 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1189, -2514, 1.\nAnswer: -2514, 1, 1189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38612292 and 102966112.\nAnswer: 308898336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3635996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 46 = -29. Solve 2*d - 5*q + w = 0, 2*d = -d - 4*q - 11 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**3*d*i**3*u - 2*c**3*i**2*u + 18*c**2*d*i**2*u - 19*c**2*d*i**2 - 4*c*d*u - c*i*u + 1694*d*i**3*u - 3*i**3*u wrt i.\nAnswer: 12*c**3*d*u + 10164*d*u - 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**16*(f\/f**(-6\/5))\/f*(f*f\/f**(-5))\/(f**(-2\/39)\/f*f) assuming f is positive.\nAnswer: f**(4729\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258272 is divided by 468.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 k, and 1 d when three letters picked without replacement from ddudrkdgdfddkfd?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 1. Let z(f) = f**2 - 15*f - 14. Let b = -65 - -71. Let g(a) = b*s(a) + z(a). Let h(u) = u**2 - 8*u - 7. Give -5*g(m) + 6*h(m).\nAnswer: m**2 - 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -74 - 157. Let y be -3*(1 - 47\/(-3)). Let f = y + m. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of x**4\/12 + 49*x**2\/2 + x + 3. Differentiate c(w) with respect to w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1449.096277 to 1 decimal place.\nAnswer: -1449.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u**2 + 3 - 3 + 2 + u + 2 + u**3. Calculate the smallest common multiple of 8 and w(3).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 779596962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 8:52 PM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36.4 - -34. Let d = -2.4 - c. Let y be (140\/(-96))\/7*3. Put y, d, 2 in descending order.\nAnswer: 2, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 19. Suppose 42 = 3*g - 4*d - 110, 0 = -q*g - 2*d + 210. Calculate the lowest common multiple of 9 and g.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*q = -12, -3*q - 28 = 5*d - 24. Solve 5*j - 25 = -5*s, -d*s + 38 = 3*j + 16 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnbnbnbtbbntb. What is prob of sequence ntt?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 35*i = 139776. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*k + 2 - 76*k**3 - k**4 - 3 + 10*k**2 + 78*k**3 + 9*k to z*k + q*k**2 + y*k**4 + l + g*k**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -12, -2*w + w = -5*r + 79. What are the prime factors of 3\/(r\/(-10)) + 70?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -969*b*p**2*v**2 - 3*b*p**2 - b*v**2 - 2*p**2*v**2 + 1978*p - 2*v**2 wrt p?\nAnswer: -1938*b*v**2 - 6*b - 4*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 0*d + 2*d**2 + 0*d + 12*d**2. Let w(v) = 2*v**2. Calculate w(h(g)).\nAnswer: 392*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.11, 27, 0.4, -0.2, 377?\nAnswer: 377","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -154 + 19*f + 121 + f**2 - 2*f**2. Let a be w(17). Let x be -3*((-20)\/6)\/a. Solve 2*m - o - x = 0, 2*o - 14 = -5*m - o for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4726, 9330, 13936, 18544, 23154, 27766?\n\"Answer: h**2 + 4601*h + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -923933*0.04\nAnswer: -36957.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 368*f - 6. Let v be g(-6). Let m = 13349\/6 + v. What is the common denominator of (16\/(-14))\/2 - 2827\/308 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 9) in base 12?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 642*t + 3047579. Determine f(-1454).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(3\/11))**(-18))**(-37) assuming h is positive.\nAnswer: h**(1998\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -386943, -386940, -386935, -386928?\n\"Answer: z**2 - 386944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 649.\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1038168, -1038104, -1038000, -1037856, -1037672, -1037448, -1037184?\nAnswer: -1036880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, 6, 0.04, -2.2, -2\/15?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 683454?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21 + 7394?\nAnswer: 7415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 235311610?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1501505 (base 6) to base 11\nAnswer: 59625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*q + 2*j + 3*j, -3*q - 5*j + 34 = 0. Suppose 2*k + 1985 = q*m, 2*m + 4*k - 6*k - 1320 = 0. Calculate the highest common divisor of 35 and m.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 170710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 + -65. Let u be 10\/g - 4\/15. Let v = -2 + 1.9. What is the second smallest value in v, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -18864*p - 207826. Give t(-11).\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z + 1. Let t(j) = 23*j + 35. What is -t(o) - 5*u(o)?\nAnswer: -13*o - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r + 3. Let u be (-4 - 0)\/((-6)\/(-39)). Let k(v) = -32 + 9*v + 78 - 33. Give u*a(j) + 6*k(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1878801689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -7*c**6\/90 - 5*c**5\/24 + 3*c**4 + 5*c - 5. Let p(u) be the third derivative of w(u). Differentiate p(n) wrt n.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.99554 years to millennia.\nAnswer: 0.04899554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -27, 2, 23, 30?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 7*g**2 + 5*g - 3. Let h(r) = -r**3 + r**2 + r - 1. Let s be h(2). Let w be o(s). Calculate the highest common divisor of 30 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*n + 214 = 349 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x**2. Let f(g) = 4*g. Calculate c(f(t)).\nAnswer: 80*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(39\/(-21) + 2 + 120\/140). Let t(q) be the second derivative of 245\/2*q**2 - 35\/3*q**3 + 12*q + a + 5\/12*q**4. Let t(f) = 0. Calculate f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a second in milliseconds?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -18*u - 2. Let y be 2\/(-7) - (-57)\/(-21). Let q be y*(0 - (-4)\/6). Let t be s(q). Solve 0 = -3*r - 2*w - 13, 5*r - 5*w + t = 4 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 248 - 387 - 4451*p**2 + 139 to n*p + f + t*p**2 and give t.\nAnswer: -4451","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -28, -2, 122, 22.\nAnswer: -28, -3, -2, 3, 22, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.095 - 0.462. Round g to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00372568 to 4 decimal places.\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(21\/6 - 3). Let g = 14 + a. Suppose -2*h + g = -6. Solve 0*w + w + h = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - 7\/(14\/(-4)). Suppose 5*t + r = -2*z + z, 0 = 3*t + 6. Let h be -15*3\/(-2 - 1). Calculate the greatest common divisor of h and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 170 = -178. Let g = 87 - v. Suppose 7*i - 8*i + 57 = g. Calculate the remainder when i is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -352*o**3 + 360*o**3 - 2*o**2 + 2*o**2.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7373617 and -4.\nAnswer: 29494468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 140 - 140. Sort 1, 7, q, -1 in decreasing order.\nAnswer: 7, 1, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30179899\/25 + -1207003. Which is smaller: 192 or t?\nAnswer: 192","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/5 + 10081*x**2\/5 - 262782*x\/5.\nAnswer: x*(x - 26)*(x + 10107)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11651509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8484*d - 40888 - 21088 - 160833 + 2225 for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7367341977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21\/14*5\/(15\/(-118)). Let y(k) = -k**3 - 30*k**2 - 31*k - 119. Let a be y(-29). Is a less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/130 and 161\/6240?\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*p**2 - 2 + 13 + 129*p**2 - 8 - 3.\nAnswer: 199*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1378161*d**3*x + 124014*d**2*x + d**2 wrt d?\nAnswer: -8268966*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -o + 915 - 278, 2*o = -3*d + 1908. What is the remainder when d is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 2130804?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 68.985 + -69. Let p = -0.023 + t. What is p rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.027 * -0.148.\nAnswer: -0.003996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -21*c**2 + 310*c - 1103. Determine q(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, x: 1, m: 1, f: 1, h: 1}. What is prob of picking 1 h and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*r + 5, 0 = 3*r - 4*u - 4 + 20. Let q = 604 + -615. Sort 3, r, q.\nAnswer: q, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2609?\nAnswer: 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 660 * 1.\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6)\/(v\/v**(2\/5)*v)*v**(-7)\/(v*(v\/v**(1\/5))\/v))**13 assuming v is positive.\nAnswer: v**(-1001\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 5 + 49. What is the highest common factor of 81 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.036 - 2.4\nAnswer: -2.364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47\/34 + 15\/17. Sort p, -0.1, -11 in descending order.\nAnswer: -0.1, p, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 61, -5, 0.3?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 1 + 2 + 0)\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15300)\/289000*(44\/18 - 2).\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 933018169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*x - 2*i - 445, 3*x + 320 = 5*i. Let k = 118 + x. What is the smallest common multiple of 55 and k?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 - 6*n**2 - 150 + 53 + 45.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 121*b**4\/3 - 2288*b**3\/3 + 5408*b**2 - 49*b + 8. Solve j(x) = 0 for x.\nAnswer: 52\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/37, 0.3, -12, -12\/13 in decreasing order.\nAnswer: 0.3, 2\/37, -12\/13, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -104 - -149. Let m = -44.98 + i. Let u be ((-12)\/10)\/((-14)\/(-5)). Which is the fourth smallest value? (a) 1\/7 (b) m (c) u (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 1:25 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 211319714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 390976 and 370312?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.09 * 117.2327.\nAnswer: -245.016343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -286*u**3 - 9*u**2 - u**2 - 267*u**3 + 5*u**2 + 552*u**3.\nAnswer: -u**3 - 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**2*w**3 + 37135*d**2*w**2 + 55*d**2 + 7*d*w**3 - 1458988*w**3 + 9*w wrt w?\nAnswer: -12*d**2 + 42*d - 8753928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133 (base 9) to base 10.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 53 + 3 - ((-15 - -10 - -9 - 3) + 9)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 756*w + 3374*w + 717*w - 441077 for w.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 147 = -3*y, -3*j - 2*j + 4*y + 185 = 0. Suppose 60*x - 41*x = 5643. What is the highest common factor of j and x?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, o: 7, q: 2, j: 4}. What is prob of picking 1 q, 1 j, and 2 h?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q**2 + 3*q**3 - 5*q**2 + 80*q - 19*q**3 - 80*q + (2*q**2 - q**2 + 0*q**2)*(-3 + 2*q + 3) + 4*q - 4*q + 2*q**3 - q**2 - 3*q**3 + q**2.\nAnswer: -15*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 5*o + 2 = 2*t - 4, -o - 203 = -201 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/((-21)\/70*-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b - b - 8*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 1, 28, 391, 6 in descending order.\nAnswer: 391, 28, 17, 6, 1","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by (-141)\/(-18) + 1\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5834.\nAnswer: 2, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -651 divided by -53824?\nAnswer: 651\/53824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 25*h**2 + 41*h + 21. Is o(-22) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -q**7\/315 + q**5\/15 - q**4\/4 + q**2. Let p(v) be the second derivative of h(v). Differentiate p(l) with respect to l.\nAnswer: -16*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -f**7\/210 + f**4\/8 + 2*f**2. Find the second derivative of m(v) wrt v.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 2:02 AM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*c**3*q**3 + c**3*q - c**3 - 22*c**2*q**2 + 2*q**3 wrt q.\nAnswer: -18*c**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 2\/19 (c) 0 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249322 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-5) - -1 - (-553)\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -154 divided by -22?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -55315, -55318, -55321, -55324, -55327?\n\"Answer: -3*q - 55312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 106*a**2 + 54*a**2 + 51*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -4, 2*s - 4*s - 5*c - 3 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 k when three letters picked without replacement from oossosroprspksso?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -900, -862, -858, -906, -1024, -1230?\nAnswer: -1542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41\/3 - -14. Suppose 18 = 4*f - 2*h + 60, 2*f + 12 = 4*h. Let w = -13 - f. Are i and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 326 + 344 - 355*z - 2*z**3 - 670 + 60*z.\nAnswer: -2*z**3 - 295*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 0.4, 3\/154 in ascending order.\nAnswer: -2, -1, 3\/154, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1161 + 1 - -2)*5\/15.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -7. Solve -2*y + 4*h + 10 = 0, s*y + 3*h = -h + 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 10 = 5*l, 8*w - 50 = 3*w + 3*l. Let t(c) = -c**2 + 9*c - 10. What is t(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t + 7. Let b be o(10). Let n be (-3)\/((-12)\/(-8)) - b. Let l(h) = -1 + 3*h + 2 + 0. Determine l(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 6*q - 188. Suppose 0 = z - 145 - q. Suppose -10*t + 13*t - z = 0. List the prime factors of t.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12174 + 8*o - 3870 - 3883 - 4421.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**2 - z**2 + 10356 - 9544 as q + c*z**2 + u*z and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 51*s + 144. Does 16 divide w(20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c*c**(-2))\/c))\/(((c*c*c**(9\/5)*c)\/c)\/c) assuming c is positive.\nAnswer: c**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13517 - 2?\nAnswer: -13521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1461847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 - ((-4)\/(-2) - 2). Suppose l = -c*p - l + 25, -5*l + 10 = 5*p. Suppose 0 = -n + p - 2. Solve 4*w = w + 3*x - 15, 0 = -2*w - n*x - 3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 35*l + 100. Calculate the remainder when w(-34) is divided by 37.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -2\/13, 0.2, 7.39, 0.95, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -58442 and -3?\nAnswer: 175326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -155 - -109. Let f = 3 - m. What is the greatest common divisor of f and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1343401321 + -122?\nAnswer: -1343401443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y. Let k(q) = 225*q. Let u(v) = -24*v + 19*v - 20*v. Let o(i) = 4*k(i) + 35*u(i). Calculate a(o(z)).\nAnswer: 50*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0 = 2. Let f(a) = a**2 + 1. Let l be (-1)\/((-2)\/(-3 - 1)). What is the remainder when f(l) is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s - 7. Suppose 0 = 4*t + r + 26, 2*r - 27 = 3*t - r. Let k be y(t). Factor -1\/2*d**3 + k + d**2 - 1\/2*d.\nAnswer: -d*(d - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 616.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, i: 1, d: 1, o: 1, b: 3}. Give prob of sequence boz.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116, -747, -1378?\nAnswer: -2009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 + -6. Let a = 44 - s. Let o = 8 + -3. What is the remainder when a is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 17. Let j be o(-8). Let u be j + (-2 - 1) + -2. Solve -h - u*h = -10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -15*g + 5. Let i(b) = -14*b + 4. Determine -4*h(r) + 5*i(r).\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000603 to six dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3408786617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 20123323332?\nAnswer: 20123323323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 3*f - 1, -2*s + 13 = 5*f for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 310746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/11, 1\/4, 3, 15\/7, -1.8263?\nAnswer: -1.8263","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2688*p**3 - 1353*p**3 + 4065*p**3.\nAnswer: 24*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153 + 6*q**3 + 74 + 79.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {l: 3, k: 5, n: 4, p: 4}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 i, and 1 g when four letters picked without replacement from aaagiiaaaaixaaxaxaxa.\nAnswer: 66\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -2004, 7.\nAnswer: -2004, -1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15026555 divided by 6?\nAnswer: 15026555\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-184)\/10 - (-2)\/5. Let x be y\/(-4)*16\/12. Is (-3)\/x*7*-6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 405\/(-1785) + 30\/(-510). Let w = 0.7 + 2.2. Sort w, b, 1\/2.\nAnswer: b, 1\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -749?\nAnswer: -8\/749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23221003 (base 4) to base 16.\nAnswer: -ba43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-31 + 25 + 37)*(4*d**2 + 0*d**2 + d**2) in the form t*d + h + o*d**2 and give o.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 12 = -570*n + 572*n, 5*o + 7 = 3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42236 + -41977.81. Let s = o + -6.29. Let t = 266 - s. Round t to zero decimal places.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**8\/504 - 2*o**7\/315 - o**6\/30 + 2*o**5\/45 + 13*o**4\/36 + 2*o**3\/3 + 21*o**2. Factor y(x).\nAnswer: 2*(x - 3)*(x - 2)*(x + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + l - 4*p + 4, 0 = -3*l - 4*p + 8. Let v(d) = -d**2 + 9*d + 3. Let j be v(l). Let x = 32 - j. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0 + 0 - 6*l**6 + 2*l**2 + 4*l**6 wrt l.\nAnswer: -240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a**4 - 14 - 2*a + 3*a**4 - 2*a**2 + 0*a**4 - a**4 in the form n + s*a**2 + k*a + l*a**3 + c*a**4 and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + 57. Factor -l**3 + 5*l**2 + 16*l**3 - 21*l**4 + 5*l**5 + s*l**4.\nAnswer: 5*l**2*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - r**2 + 3*r + 5. Suppose -j = -2*n, 7*n = -4*j + 2*n. Let o be q(j). Solve -p + 0*i = 4*i + 25, -2*i - o = -p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 209538*o**3\/13 - 46672*o**2\/13 + 24*o\/13.\nAnswer: 2*o*(9*o - 2)*(11641*o - 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - (-11 + 4 + -1). Suppose 0 = x*z - 5*g - 25, 2*z - 11 = -3*z - 2*g. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-13)\/(-2) - 2*1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b**2 + 8*b + 8. Determine g(9).\nAnswer: 323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.468 * -0.1\nAnswer: -0.0468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a decade?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 413628 to the nearest integer?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 0*c. Suppose -2*l + o + 25 + 5 = 0, -2*l - 5*o + 30 = c. Solve j + 2*h = h, j - 2*h + l = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((1*sqrt(76))**2 + sqrt(76) + sqrt(19) - ((sqrt(19) - ((sqrt(38)\/sqrt(2) - sqrt(19))*2 - sqrt(19))) + sqrt(19))**2)*6.\nAnswer: -36*sqrt(19) + 1140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38283 + 39363. Calculate the remainder when k is divided by 358.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 444d2 (base 15) to base 4.\nAnswer: 311000021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2960 divided by -2\nAnswer: 1480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**3 - 4 + 4 - b**3 + 3*b**3 - b**3 + (0 + 0 + 2*b)*(b**2 - 3*b + 3*b) + (4 - 3 + 2)*(2*b - 2*b + b**3) - 2*b**3 - b**3 + 6*b**3)*(0 + 0*b + 2 - b).\nAnswer: -10*b**4 + 20*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.118692696 rounded to four decimal places?\nAnswer: -0.1187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 781835 is divided by 58?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0018783938 to five dps.\nAnswer: 0.00188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 - -41.07. Let q = c + -0.07. Let s = q - -3. Which is greater: s or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.46 + -0.06. Let p = -1.02 - 0.58. Let u = p - v. Which is smaller: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*x - 54. Let f(i) = -i**3 + 4*i**2 + 12*i + 3. Let d be f(6). Let h = x - d. Solve l = -3*k - 7 - h, 3*l - 3*k = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.2 (b) -174.5 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-230)\/(-276) - 170\/(-12)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27881*t - 2*t**2 + 11*t**2 - 27881*t - 23*t**2.\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a centimeter in millimeters?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*g - 936 = -84 + 309 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 6853 - 1253 = 0. What is the greatest common factor of 35 and u?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) -2 (c) 23 (d) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 8. Suppose 6*r = 2*r + 3*w, 5*r = w + 11. Let k(c) = -14*c - 272 + 14*c + 287 + c**2. Determine r*k(o) - 5*y(o).\nAnswer: -2*o**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(-88))\/((-45)\/36)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 9.7. Let r = 0 - -3. Let m = -0.87 - 0.13. Which is the biggest value? (a) m (b) r (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 6*p + 3*p + 12 = 0, 3*k - 5*p - 36 = 0. Calculate the greatest common divisor of 56 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m - 2*m + 4*m + (1 - 4 + 1)*(-7*m + 4*m - m).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p**2 - 5*p**2 + 3*p**2 - 3*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13204661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -12*v**2 + 8. Let q(d) = -29*d**2 + 16. Calculate 5*h(k) - 2*q(k).\nAnswer: -2*k**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/561 or 1?\nAnswer: 7\/561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/48498 and -1\/9381.\nAnswer: 2570394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (107\/(-963))\/((-60)\/(-486)).\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.8? (a) -16 (b) -0.34158 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 209161 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5988, 0.5, -1073?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -310 - -310.0004718. What is z rounded to five decimal places?\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9885 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 29*b**2 + 60*b - 497. Give o(-18).\nAnswer: 1987","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1895*a*l**3 + 4*a*l - 9*a - 2*l**2 wrt l.\nAnswer: -11370*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**8))**(2\/25)*(j**(2\/27))**(-12) assuming j is positive.\nAnswer: j**(-56\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 136369 to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 5 = 6*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (23 - 47) - 22.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 - 3*p + 2. Let n be r(2). Solve -2*z - 2*z + 2*l = -2, 0 = -n*z + 5*l + 17 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 28939 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3069.23248 rounded to the nearest integer?\nAnswer: 3069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 27*o**2 + 7*o - 9. Let y(a) = -14*a**2 - 3*a + 4. Calculate -4*p(g) - 9*y(g).\nAnswer: 18*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 744794 + -1489551\/2. Suppose 5*b + 134 + 516 = 0. Calculate the common denominator of q and b\/8 + (-1)\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**5\/60 - 3*b**4\/8 - b**3 + 11*b**2. Let n be k(9). Let z(v) = v. Let f(r) = -1 + 5*r - 4*r + 1. Calculate n*z(w) + 4*f(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 34975.57 minutes in nanoseconds?\nAnswer: 2098534200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -2 (c) -20 (d) 9 (e) 1\/4 (f) -1\/3 (g) 13.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 b when four letters picked without replacement from ffhbhjshjfjhjjbjf.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130 divided by 1129.\nAnswer: 130\/1129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 1:20 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -932 + 1612. What are the prime factors of o?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 4:43 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 251051 - -14141?\nAnswer: 305232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 26, 32, 46, 74, 122, 196, 302?\n\"Answer: p**3 - 2*p**2 + 5*p + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -19, 2, -2 in ascending order.\nAnswer: -19, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 44090937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 5*k. Let d be s(1). Let c(f) = 12*f - 2. Let x be c(5). Suppose -x = -d*i + 17. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 7*o**2 + 8*o - 8. Let j be i(-5). Suppose 2*p + 2*p = 3828. Suppose -4*l = -3*d + p, j*d - 7*d = -3*l - 1595. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1\/5)*c)**40*c**(-16)*(c*c\/(c**10\/c)*c)\/c)**(-8) assuming c is positive.\nAnswer: c**(-392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1276.3 + 1279. Let q = 2.8 - 0.4. Let k = q - s. What is the biggest value in -0.02, -2, k?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/87 + (6 - (76011\/7540 + -4)).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8d80 (base 16) to base 11.\nAnswer: 25241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 16*u**2 - 8*u - 68. Calculate the remainder when 2159 is divided by o(-16).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1916, 1, 3, -2\/7 in descending order.\nAnswer: 3, 1, -2\/7, -1916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 - -45. Suppose -2*v = -0*v - f. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -48 or -56?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -3\/7 (b) -1\/12 (c) -0.5 (d) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 658959?\nAnswer: 3, 7, 31379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - h**2 + 3*h - 14. Let v be k(-6). Let t(z) = -z**2 - 5*z. Let y be t(-4). Suppose 0*q - y*q = -v. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*i - 2*p, -3*i + 7 + 9 = 4*p. Suppose -3*j - s + 7 = i, s - 1 = -2*j + 4. Suppose 63 = j*n + n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24233203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 times -0.9\nAnswer: -0.081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 2*g**2 + g - 18. Let f be v(4). Solve -f*w - w = 19 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19510992619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 36\/(-135)*5\/6. Let z = -1 - 1. Put -6, z, i in increasing order.\nAnswer: -6, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - ((79 - -100) + -108)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 47*u**2 - 341*u + 6821. Determine l(43).\nAnswer: -446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100, -86, -74, -64, -56, -50?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 2\/85 (b) 1\/4 (c) 0.3 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 - -54. What are the prime factors of q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/(-1))\/(6\/6). Let h be 25*(1 + (-2)\/5). Suppose 5*c + h = -5*l, 0 = 3*c + 2*l + 3 + 4. Which is smaller: x or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 530634529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.38942l in millilitres?\nAnswer: 19389.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2769*d**3 - 2*d + 6*d**4 - 6*d**2 + 0*d + 10 + 4*d**2 - 2771*d**3 - 8*d**2 in the form l*d**4 + a*d**3 + y*d + f*d**2 + i and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 58*r = 57*r + 160, o = 5*r + 190. Is 15 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 158164, 158894, 159624?\n\"Answer: 730*x + 157434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 + 4*x**2 - 5*x**2 - 299113*x**3.\nAnswer: -299113*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4308, 17404, 39282, 69948, 109408, 157668?\n\"Answer: m**3 + 4385*m**2 - 66*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1079294 * 5\nAnswer: 5396470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 - 59. Let l = u - -28. Let w = -1.63 + 0.63. What is the nearest to l in 0.5, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5009*u - 40064. Let c be p(8). Let i = -5 + 16. Solve 3*f + 4*n = -i, 2*f - 3*n - c = 4*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 229*j - 301*j + 648 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56 by -2.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 528 and 704?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-484)\/(-27) + 110\/1485. Suppose 5*a + 3*z - 14 = 0, 0 = 2*a + p*z - 21*z - 14. Solve -8 = -4*l, -2*l + 2 = -a*s + l for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16914*k + 17 = -a - 16924*k, 5*k - 30 = 5*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38617777 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 15236, 26308, 37396, 48506, 59644, 70816, 82028?\n\"Answer: v**3 + 2*v**2 + 11059*v + 4174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 389390 rounded to the nearest 1000?\nAnswer: 389000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 v, and 1 y when four letters picked without replacement from {w: 4, l: 3, v: 1, x: 1, y: 1, m: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 13*b**2 + 2*b + 28. Let q be x(-13). Let h(p) = -p**2 - 11*p - 6. Let u be h(-10). Solve -4 = -2*g + q*t, g + u*t - 9 - 8 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*q + 75 = 0, 0 = m + q - 25 - 20. What is the greatest common factor of m and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (46 - 4 + 3)*(2*b + 5*b - 4*b) in the form l + i*b and give i.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -577 * -6732\nAnswer: 3884364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107978?\nAnswer: 2, 13, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o - 1. Suppose 2*l = -2*x - 10, 13 + 3 = -4*x - 3*l. Let t = 0 - x. Let w be 0\/t + (3 - 5). Give a(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -y**4\/24 - 10*y**2. Let n(a) = -3*a. What is -2*n(u) + 9*q(u)?\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 - 7066?\nAnswer: -7053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 17*a**2 + 18*a + 9. Give u(16).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.4 (b) 1446 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -73, -248, -559, -1006, -1589?\n\"Answer: -68*m**2 + 29*m - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three tenths of a litre?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 101820, -3, 5 in ascending order.\nAnswer: -3, 5, 101820","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-47 + 38 + 108)*(19 - 82*s + 20*s + 27*s + 27*s + 22*s) to the form r*s + y and give r.\nAnswer: 1386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2. Let d = 21 - 19. Let l(s) = 5*s**d + 0*s + 0*s - 8*s**2. Determine l(f(x)).\nAnswer: -3*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -23903\nAnswer: -23903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vr when two letters picked without replacement from {u: 1, g: 1, y: 1, v: 4, r: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1.8 * 947\nAnswer: 1704.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 338, 0.2, 101.5 in ascending order.\nAnswer: 0.2, 101.5, 338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(4900) + (-2*sqrt(4900) + sqrt(4900))*-2))\/((3*sqrt(56))\/(-1*sqrt(6)\/sqrt(3))).\nAnswer: 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -97*y**2 - 68*y**2 + 4*y**2 to o*y + j + f*y**2 and give f.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -24. What is the tens digit of (-14 + v)\/(2\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/2 and ((-668)\/134 + 5)*(-747)\/36?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 57*s - 61*s. Is 1 - s - (3 - (740 - -3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 23\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*w + 34 - 2 - 154 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11602?\nAnswer: 2, 5801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 194758.326 minutes to weeks.\nAnswer: 19.3212625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 - 14*q - 8. Suppose -2*x + 11 - 29 = 0. Calculate t(x).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -60 - (39 - (50 + -31))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1092438448 to six dps.\nAnswer: 0.109244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -687 and -686 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 12:48 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 60*v - 59. Let l(z) = -z**2 + 3*z + 42. Let w be l(-5). Calculate the remainder when k(w) is divided by 29.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 5*n = 67, 485*d - 11637 = -95*n - 90*n + 182*n for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 775*0.144\nAnswer: 111.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**2 + 2*s - 1. Let u(q) be the third derivative of -1\/6*q**3 - 3*q**2 + 1\/8*q**4 + 1\/15*q**5 - 15 + 0*q. Give 2*i(k) - 3*u(k).\nAnswer: -2*k**2 - 5*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -293*g = -296*g. Suppose -j - 20*j + 8673 = g. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 15*x**2 + 39*x - 96. Calculate f(-7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182*x + 183*x + 202*x + 183*x - 1134*x + 182*x + 191*x.\nAnswer: -11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 u, and 2 c when four letters picked without replacement from {e: 1, l: 3, c: 2, d: 1, u: 3, j: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 3456, 1.5, 4 in decreasing order.\nAnswer: 3456, 4, 1.5, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 12:00 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f - 31*f**3 + 3*f - f.\nAnswer: -31*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 103533437?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.5397773 centuries?\nAnswer: 0.05397773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 5, -1, -333, -381 in decreasing order.\nAnswer: 5, 0, -1, -4, -333, -381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8640024 = -3*q + 5*p, -p + 4279553 = 4*q - 7240456. Suppose -4*m + 12 = 48. Let t be q\/(-9) + (-3)\/m. Round t to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1396400 rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5171 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2 - 350*s + 1925. Let g(q) = -q**2 + 200*q - 962. Determine 7*g(m) + 4*o(m).\nAnswer: m**2 + 966","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11388 = -207798*s + 207652*s for s.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 118031 and 185129.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 987894789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11, -52, -93?\n\"Answer: -41*v + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28403366?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -105\/34 and 83\/1129888?\nAnswer: 1129888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1896696 by 112.\nAnswer: -237087\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u. Let p(g) = 3*g**2. Let j(q) = -55*q**2 - 20. Let n(w) = 8*w**2 + 3. Let b(d) = 3*j(d) + 20*n(d). Let z(x) = 4*b(x) + 7*p(x). Determine s(z(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -175*a**4*b**2 + a**2*b**2 + 15*a*b**2 - 11*a wrt a?\nAnswer: -2100*a**2*b**2 + 2*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/((-754)\/(-667))*-2?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-222)\/(-296)*(200\/(-3))\/(-4))\/((-30)\/(-72))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/4*((-3300)\/35)\/(-15). Is (2\/(-3))\/(w\/5181) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42472, -42458, -42434, -42400?\nAnswer: -42356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -24*c - 10. Let j(g) = 1. Let q(d) = 12*j(d) + p(d). Let i(o) be the second derivative of o**4\/12 + o. Calculate i(q(m)).\nAnswer: 576*m**2 - 96*m + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31317 is divided by 31300.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a + 1683 = 829 + 821. Sort -39, -13, a, 0 in descending order.\nAnswer: 0, a, -13, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302143?\nAnswer: 302143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(14 - (13 + 1)). Determine u so that q*u**4 + 0 - 2\/3*u**3 + 2\/3*u**5 + 0*u + 0*u**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -359 + 168. Let s = r - -426. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a**3*y - 816*a**3 + 27851*a**2*y + 226*a*y + 11821*y wrt a?\nAnswer: -18*a*y - 4896*a + 55702*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 7875*x**5 - 12525*x**4 + 3990*x**3 + 1404*x**2 - 840*x + 96 = 0.\nAnswer: -2\/5, 4\/21, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -1. Let a = -0.06 + -0.04. Is b bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2693 divide 762119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**5\/3 + 1145*k**4\/3 + 2293*k**3\/3 + 1147*k**2\/3.\nAnswer: -k**2*(k - 1147)*(k + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1406, 1404, 1402, 1400?\n\"Answer: -2*r + 1408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31.29 - -30.19. What is the closest to 0.2 in z, -0.5, -4\/21?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {p: 8, l: 1, v: 1, r: 6, z: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 274930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/sqrt(81) - (-2 + (sqrt(7) - -2*sqrt(7))))**2.\nAnswer: -32*sqrt(7)\/3 + 484\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/2318 and -143\/114?\nAnswer: 6954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6495487909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 + 66\/12)\/((-2)\/8). What is the third smallest value in -0.24, k, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*k + 244, -k - 57 = -4*m + 70. What is the hundreds digit of ((-4)\/(5 - 3))\/(2\/k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 3:26 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -136011121 (base 7) in base 6?\nAnswer: -515412004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 19, -12, 27, 4, -13 in increasing order.\nAnswer: -13, -12, -5, 3, 4, 19, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 39780 divided by 12\nAnswer: 3315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15188 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 4*y + t + 84, -4*y - t - 92 = 0. Let s be ((-3)\/2)\/(18\/y). Let h be ((-4)\/12)\/((-1)\/15). Solve 0 = 4*v - h*r + 22, 3*r + 3 = -s*v - v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -485 + 484.579. Let o = w - -0.021. What is the second smallest value in 2\/19, -1, o, -2.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, -10\/3, -0.4, -0.13?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.5, 0.2, -8\/7.\nAnswer: -8\/7, 0.2, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-7 - -5 - (-1 - -1)). Let a(u) be the second derivative of 0*u**2 + 0 - 1\/10*u**4 + 1\/50*u**5 + 2\/15*u**s + 2*u. Let a(z) = 0. Calculate z.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = x - 8*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 46*d + 3 + 38*d - 877*d**3.\nAnswer: -877*d**3 + 84*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**2 - 5*c + 2. Let z(d) be the first derivative of -d**3\/3 + d**2 - d + 3. Suppose -3*p + 0*p - 24 = 0. Calculate p*z(g) - 3*r(g).\nAnswer: -g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*q**2 + q**2 - 4*q**2)*(0 + 4 - 6 + 3 - 4 - 1 - 2 + 0 + 0 - 3 + 1 + 0 + (1 - 2 + 0)*(3 - 1 - 1) + 0 + 4 - 5 + 0 + 3 - 4 - 74 - 1 + 42).\nAnswer: -660*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 77*t**3 - t**2 + t - 1. Let v be d(1). Let o = v - 45. Calculate the remainder when o is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -941*d + 12417 = -938*d. What are the prime factors of d?\nAnswer: 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1358 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -22654 less than or equal to -22657?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 16 + 11)*(3 - x**3 - 3)*(-x - 3*x + 3*x).\nAnswer: 20*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 1635?\nAnswer: 490.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (-1 + 2) - -1. Suppose 5*t = -s*t + 25. Is t a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - b - 11*b - 27*b)*(3 - 29 - 2) + (3 - 3 + 3)*(-b - 2*b + 2*b + 2*b + 4*b - 4*b + (-1 + 1 - 1)*(-3*b - 2*b + 4*b)).\nAnswer: 1098*b - 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26869 is divided by 13419?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.157628833 rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*x**3\/3 + 5354*x**2\/3 - 4583*x\/3 - 764\/3.\nAnswer: -(x - 764)*(x - 1)*(7*x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1327 - 1326.9. Let n = 14 - 13.93. Which is the second biggest value? (a) 3 (b) f (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and -9.39?\nAnswer: 0.3756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -j - 3. Let g(w) = -w**3 + 5*w**2 + 6*w + 5. Let f be g(j). Suppose 4*h - b - 270 = 0, 0*b = f*h - 2*b - 339. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*t = -25*t + 10. Suppose t*n + 5*q = -n + 35, 5*n + 5*q = 45. Calculate the remainder when 24 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (-3 - -6) - -1. Suppose 34 = -4*k - 2*g, 5*k = 3*g - o*g - 70. Let w = k + 21. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11228 - -11228. Sort -4, -12, 25, x, -3 in decreasing order.\nAnswer: 25, x, -3, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 + 3415448*k + 729080315044.\nAnswer: 4*(k + 426931)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57 - 105. Let g = -15 - -12. What is the tens digit of g\/(-3) + (-2 - h) + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*c**2 + 63\/2*c - 3\/2*c**3 + 0.\nAnswer: -3*c*(c - 7)*(c + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 411487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**10)\/s*s**(-7)\/s assuming s is positive.\nAnswer: s**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1837*l + 1859*l - 286946. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0857 * 0.5.\nAnswer: 0.04285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 12*f**2 + 10*f + 11. Let r be l(11). Suppose 2*d = -4*a + 24, r*d - 5*a = 5*d - 35. Differentiate 5*g**2 - 8 + 3*g**2 - 3*g**d wrt g.\nAnswer: 10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24073, -48141, -72209?\nAnswer: -96277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39640098 divided by 357118.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1386942.\nAnswer: 2, 3, 139, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6472438*u - 3 + 8*u**2 - 6472438*u to the form q + x*u + y*u**2 and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -11e2 (base 16) to base 10\nAnswer: -4578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111863 is divided by 731.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by -169.\nAnswer: 15\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + -0.4. What is the third smallest value in -3, y, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.5 (b) 3.1 (c) -1\/5 (d) -9\/367 (e) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-512)\/(-262) - (-4)\/28*-14. Let f = s + -101\/655. Which is the smallest value? (a) f (b) 5\/4 (c) -22 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/882 and 47\/5292.\nAnswer: 5292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*o + 3*o - 30 = 0, -y - 2 = -5*o. Let r = 5 + y. Let f = 10 - r. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -j**5\/20 + j**4\/12 + 7*j**3\/6 + 5*j**2 + 11*j. What are the prime factors of w(-4)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -222.9 and -14.4?\nAnswer: 3209.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = 2*h. Suppose 5*f - 25 = -5*k, -4*f + 4 = -16. Suppose k = -0*i - i. Solve 4*n - h*n - 6 = i for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 12, t: 3}. What is prob of sequence dtt?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1043, -1531, -2809, -5261, -9271, -15223, -23501?\nAnswer: -34489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v - 25 + 42 - 20 + (0 - 2 + 0)*(v - 2*v + 2*v) to y*v + x and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.01253865734378 and -0.02.\nAnswer: -0.03253865734378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47 - -34. Let q(u) = -5*u - 6. Suppose -6 = -4*j + j. Let l(n) = n - 13 - 10*n - j*n. Give d*q(a) + 6*l(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 30 - 98. Let i be (-250 + 250)\/(1*-3). Suppose -3*l = -14 - 1. Sort i, l, y, 3 in descending order.\nAnswer: y, l, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*4\/(-3) - 3. Let o = -7 - m. Solve g = -n - 5, o*n + n - 2*g - 4 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one twentieth of a meter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -177*l + 13218. Give y(72).\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 - 24.2. Which is the biggest value? (a) -1\/7 (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 440 divide 336160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*sqrt(3328)*-1 + sqrt(3328))**2 + (3*(sqrt(65) - sqrt(65)*-1))\/((sqrt(35)*-1)\/sqrt(7) - sqrt(5) - sqrt(5)).\nAnswer: -2*sqrt(13) + 29949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -13*y**4\/12 - 16*y. Let w(l) = 5*l. What is s(w(i))?\nAnswer: -325*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/30 and -211\/7590.\nAnswer: 7590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {d: 4, l: 12, z: 4}?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*q = 364. Suppose 3*j - 4*s - 387 = q, 4*s = -2*j + 474. Suppose -5*v + 623 = -2*x, -2*x = -2*v + 3*x + j. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z - 1. Let a(t) = 11*t + 5. Let f(m) = a(m) + 6*u(m). What is the first derivative of f(k) wrt k?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.27 + 0.03. Let q be 10\/(-136) - (-3)\/12. Let n = -29\/68 + q. What is the smallest value in n, -2\/19, r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5 times -127965?\nAnswer: -447877.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10752 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -327 divided by 3.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 12258, 4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 3. Sort -23, 2, j in descending order.\nAnswer: 2, j, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -26 + -11782?\nAnswer: -11818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 38 * -9\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/7)*w*w*w**(-5\/4)*((w*(w**(1\/3)\/w)\/w*w)\/w)\/(w*w**2*w))**(-33))**(-50) assuming w is positive.\nAnswer: w**(-83875\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -475 divided by 5?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 221775502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3785, 1905, 41, -1801, -3615, -5395, -7135, -8829?\nAnswer: -10471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 24. Let j be ((-16)\/20)\/((-76)\/y). Is 0 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 4:50 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, 3, 2\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u*u**(-7)*u\/(u*u**9\/u))**(2\/15) assuming u is positive.\nAnswer: u**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 630528 and 630540 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 9. Let z be 0\/((5 - -3)\/(-4)). Suppose -12 = 5*j - 2*y + 17, 5*j + 4*y + 17 = z. Put o, -1, j in increasing order.\nAnswer: j, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - (-12)\/3)\/(-1). Let a be (-122)\/(-468) - (-6)\/(-27). Are i and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9723269371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 4*m**2 + 6*m - 5. Suppose 9 = 3*j, -h + 3*j + 0 = 4. Let i be t(h). Solve i*c**2 + 3*c**2 - 3*c**2 + 3*c**2 + 27 - 18*c = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnrdnvcc. What is prob of sequence nrb?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 227*b**2 - 149*b**2 - 75*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -4\/9 (c) -0.261\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-2) - (-2 - 10\/(-4)). Solve 3*i - 4*v - 35 = 0, -m*v = -5*i + 2*i + 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1848, -7289, -16366, -29085, -45452, -65473?\nAnswer: -89154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6956347, 6956344, 6956341, 6956338, 6956335?\n\"Answer: -3*b + 6956350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 1 + (1 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129610?\nAnswer: 2, 5, 13, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1, -1, 13417, -0.1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29563 is divided by 1285.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -248 + 251. Solve -v + r*v + 2*p + 10 = 0, -5*v - 25 = -2*p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/7 (b) 3 (c) -2\/27 (d) -844 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -2\/9, 2\/5, -0.06, -0.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 437867773 to the nearest integer?\nAnswer: 20925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 56*u**2 - 6*u - 8. Suppose -2*l - 3*x = -0*x - 5, 2*x + 5 = -3*l. Let b be r(l). What is the common denominator of 51\/7 and (-6)\/(-16)*b\/27?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.04197 at least as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c + 2 + 0*c + c**3 + 7*c**2 + 9*c. Let h be r(-6). Suppose 36 = 2*b - m, -63 + 11 = -3*b + h*m. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 19*j + 495. Let d(z) = 29*z + 742. Let n(v) = -5*d(v) + 8*p(v). Let k be n(-34). What is the greatest common factor of k and 300?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/20 and 91\/146288.\nAnswer: 731440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 72 = -4*m, -5*m - 5*a + 25 = -105. Calculate the remainder when m is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 459167701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -102107 + 26?\nAnswer: -1020a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10671 is divided by 92.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/1776470 and 1\/2131764.\nAnswer: 10658820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-2)*4)\/((-10)\/(-140)*-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5*z - 335080 = 0, 56*m - 59*m + 5*z + 201062 = 0. What are the prime factors of m?\nAnswer: 113, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 850191.6ug to nanograms.\nAnswer: 850191600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*n - 23*n - 8 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319 is divided by (-262)\/(-8) - -2*30\/(-80).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 26*w**2 + 26*w**2 - 70*w**2 + 21*w**2 = 0 for w.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45453.\nAnswer: 3, 109, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*l**3*y - 2*l**3 + 2*l**2*y - l - 756*y wrt l?\nAnswer: -18*l*y - 12*l + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.0426, 3.2 in descending order.\nAnswer: 3.2, -0.0426, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1)\/n)**(4\/43)*n**(-3\/5)*n*((n**(-3\/11)\/n)\/n)\/n)\/((n\/n**(-1\/6))\/(n\/n**(3\/5))*(n**(-1))**(-5\/6)) assuming n is positive.\nAnswer: n**(-11018\/2365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24047 + 18430. What are the prime factors of q?\nAnswer: 3, 14159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-2 - (-2 + 3)). Suppose 0 = -0*y - p*y + 12. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 29*k - 4. Suppose 0 = -h - h. Suppose 3 + h = v + u, -3*v - 4*u = -9. What is the remainder when n(v) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 25\/10 - 2\/4. Let o(z) = z**2 + l*z**2 + 10 - 2*z**2 + 9*z. Let j be o(-8). Solve 2 = c - j for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 21*o**2 - 3*o - 23. Let t be a(21). Let w = -95 - t. Let q(z) = -z**2 - 20*z + 10. What is the tens digit of q(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 113095994?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + -0.2. Let a = 1105453 - 1105452.499947. Let y = p + a. Round y to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96 and 8178?\nAnswer: 130848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -l**3\/3 + l - 6. Let u(n) = 5*n**3 - 8*n**2 + 7. Let s(d) = -4*u(d) + 28*y(d). What is the third derivative of s(t) wrt t?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 5*i + 57. Let z be t(-9). Let m(c) = 7*c**3 - 4*c**2 + 3*c**2 - 13 - c**2 + 26 - z. What is m(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3967189*m. Let l(w) = 17*w**2 + 2. Calculate l(y(c)).\nAnswer: 267556005549257*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 0*u + u**3)*(-4 - 5 + 3)*(5*u + 0*u - 4*u).\nAnswer: -6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*1*6\/63.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**5\/4 - 8457*a**4\/2 + 84595*a**3\/4 - 5*a**2 - 84591*a + 67676 = 0.\nAnswer: -16919, -2, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11134033121 (base 5) in base 4?\nAnswer: 233111123120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(5\/(150\/80))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/456 and -13\/309?\nAnswer: 46968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 3*u + 37, 2*q - 5*u = -9*u - 6. Factor -q*g - 36*g**3 - 4*g**5 - 32*g**2 + 20*g**4 + 60*g**2 - 3*g.\nAnswer: -4*g*(g - 2)*(g - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.066 + -0.134. Sort c, -0.3, -1\/9 in decreasing order.\nAnswer: -1\/9, c, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 1067 = -4*w + 3214, -5*w - 2*h + 2689 = 0. Let n(o) = o + 49. Let d be n(0). What is the greatest common divisor of d and w?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 142*o - 142*o - 10*o**2 + 16*o**5 + 2*o**2 wrt o?\nAnswer: 960*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 32 + z**4 + 3 + (1 - 1 - z**2)*(3*z - 3*z - 2*z**2).\nAnswer: 3*z**4 + 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 1 + -40 + 100 + -36\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -13, -4, 5 in descending order.\nAnswer: 5, -4, -13, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 2*j + 0*j)*(-31 - 24 + 31)*(-j + j + j).\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (728\/(-3094))\/((-6)\/612*6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 9 + 16)*(-2*k**3 - 5*k**3 + 4*k**3) + (-4*k + 4*k - 2*k**2)*(-2*k - k + 2*k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90, 40, -12, -66, -122, -180?\nAnswer: -240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 11*y = 16*y - 6, 2*p + 10 = 4*y for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -m + 3, 13 = 5*y - 3*m - 6. Let w be (3 + -2)\/(y\/(-4)). What is the remainder when (30\/(-35))\/(w\/7) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y - 10*y = -0*y - 1235. Calculate the highest common divisor of 11440 and y.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -194*d**2 - 2522*d + 26. What is w(-13)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*((-16)\/(-3))\/4. Let v(r) = -r**3 - 5*r**2 - r - 2. Let a be v(-5). Solve 4*m - 17 = -a*z, -c*z - 8 - 1 = -m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a century in years?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = y - 45. Let t(j) = j**2 - 3*j - 4. What is the units digit of t(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4261 is divided by 497?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 52*a**3 - 2*a**2 + 1. Suppose -10 + 2 = -3*m + b, b = -m. Is w(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 m when two letters picked without replacement from mqmomnvvqqnqqm?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 5*p + 10, -5*l - 3*p - 4 = 2. Solve 5*h - 9 - 11 = l for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 9 = 2*r, -1 = 4*q - 22*r + 21*r for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-5))\/((-1)\/5). Let w(f) = -9*f + 6. Let d be w(x). Let k(o) = 8*o. Let b be k(3). What is the greatest common factor of d and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1639 + 2479. Is 24 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1215626 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 72 - 59 + 15171*z + 42 - 55 to the form i + l*z and give l.\nAnswer: 15171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 12:46 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 - 14030*s**2 - 10062685*s - 307803040.\nAnswer: -5*(s + 32)*(s + 1387)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9020 + 17350. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.5, -3, 5\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) - (-3*(sqrt(190) + sqrt(190)*3) - sqrt(190)))\/(sqrt(1000)*4 + sqrt(1000) + sqrt(10))*-1*-5.\nAnswer: 70*sqrt(19)\/51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*z = -205. Let u = z - 21. Let k be -14*(1881\/(-76) - -25)\/((-7)\/4). What is the highest common divisor of u and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 228, 564, 914, 1284, 1680?\nAnswer: 2108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f + 6. Let p be v(6). Differentiate -z**2 + 2 - z**2 + p*z**2 wrt z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 460 and 0.07261399.\nAnswer: 460.07261399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of u**11\/11088 - u**7\/168 - u**4\/4 - u. Let b(r) be the third derivative of f(r). What is the third derivative of b(m) wrt m?\nAnswer: 600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 475.7157 weeks to nanoseconds.\nAnswer: 287712855360000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 11:35 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1635\/37 at least 44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*f**2*q - 11*f**2 - 371845*m**2*q - 599024*m**2 wrt q.\nAnswer: 13*f**2 - 371845*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s**3 + 2911886 + 2*s - 2911886 - 2*s.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/((-3)\/((-6)\/4)). Let m(x) be the third derivative of o*x**3 + 0*x + 1\/12*x**4 - x**2 + 0. Let i(z) = -6*z**2. Give i(m(f)).\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**3 + 24*b**2 - 132*b + 144 = 0.\nAnswer: -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*p**2 - 6*p**2 + p**2)*(-4 + 4 - p**3) + p + 2*p**5 - p + 2 - p**5 - 2 - p + p**5 + p)*(-63 + 87 + 87).\nAnswer: 444*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -20, -71, -160, -293, -476?\n\"Answer: -g**3 - 13*g**2 - 5*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2567, 2572, 2581, 2594, 2611, 2632?\nAnswer: 2657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2 = 390*i - 392*i, -4 = -2*i + 4*a. Let u = 48162\/65 - 741. Is u >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 187*j**2 + 198*j - 1780. Calculate the remainder when 15695 is divided by i(188).\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 3*c**2 + c - 1. Let s be l(0). Let w(g) = -g - 1. Suppose 3*y = y - 4. Let x(h) = 2*h**2 + 4*h + 1. Determine s*x(d) + y*w(d).\nAnswer: -2*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 * -5140771\nAnswer: 154223.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 - 10*u**2 - 10*u**2)*(-4 + 4 + 1).\nAnswer: -23*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 5*j - 190997, 58*j - 76378 = 56*j - 3*s. What are the prime factors of j?\nAnswer: 38201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 5) to base 9.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = 2581*o - 2613*o. Solve -23 = o*d - 3*j, 4*d + 2*j = -j - 17 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 0. Let w be (57 - -1)*(-2)\/8. Let l = w + 147\/10. Are y and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 30227 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2158*q + 1045*q - 4142*q = 1547*q + 278882 for q.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, m: 3, n: 2, j: 2, r: 7}. What is prob of picking 2 m and 1 n?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1959 = 4*k - 24589. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(612) - sqrt(612)*-2*1) + -2 + (sqrt(612) + 3)*-4 + sqrt(612) + sqrt(612) + -5)**2*1.\nAnswer: 2508*sqrt(17) + 74413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 727644232 and 4?\nAnswer: 727644232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 73 * 11.2586\nAnswer: 821.8778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13 and 1192.\nAnswer: -15496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.53 - 8.53. Which is the nearest to -1\/7? (a) g (b) -2 (c) -3\/10 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c**2 - 6*c + 9. Let x be (0 + -1)\/(((-580)\/29)\/100). Let f(a) = -5*a**2 + 7*a - 9. Calculate x*f(n) + 6*i(n).\nAnswer: -n**2 - n + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 35*i - 1. Let x(l) = 3*l**2. Determine x(b(k)).\nAnswer: 3675*k**2 - 210*k + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -4096 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 62*h - 60*h + 0 + 7 to m + v*h and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 0*z + 24 = 3*z, 3*z - 6 = 0. Let o = h - -4. What is the units digit of o\/(-3)*(-45)\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 3:33 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12442 + 107*h**2 + 12442 + h)*(-2*h + 0*h**2 - h**2 + h) to the form z*h + i*h**2 + l + b*h**3 + s*h**4 and give b.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, t: 3, y: 4}. Give prob of picking 3 t.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 - 1265*b - 42450.\nAnswer: 5*(b - 283)*(b + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3\/5 (b) -9\/17 (c) -22177\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i - 1. Suppose 2*f - f = -4. Let p(l) = 3*l + 2. Let w(m) = f*n(m) - p(m). Give w(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 38706380, 77412758, 116119136?\n\"Answer: 38706378*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 - -47. Suppose 2*l - 16 = 2. Suppose -4*o - 2*s + 3 + l = 0, 0 = 2*o - 4*s + 4. Solve -y = q + n*q - 25, q + 5 = o*y for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1915 + 3958182352.\nAnswer: 3958184267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 87*b**5 + 4*b**3 - 2*b**2 - 4109*b.\nAnswer: 5220*b**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 t when four letters picked without replacement from kttktkktkktkkktkktk?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - 3*a + 15. Suppose 42 = 29*z - 103. Solve -2*s - z = x, -5*x + 7 = -a*s + 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + (3 - 0) + 22 + (-1 - 12)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x - 4*x + 3 + 0*x - 4 - x**3. Let p be l(-2). Suppose p*d = 4 - 29. Sort 3\/2, 3, d in ascending order.\nAnswer: d, 3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 25. Let s be (-4)\/(-6) - (-10)\/n. Suppose s = -0*h + h - 72. 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: Suppose 0*y + 20 = -5*u + 4*y, 10 = 2*y. Let o be u + (-5)\/((-5)\/2). Let c(p) = 0*p**2 - 6 + 5 + p**o - p + p**3. What is c(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4501658*a**2 - 2131*a**3 + 524*a**3 + 4503807*a**2 wrt a?\nAnswer: -9642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9.8 + 10. Let j = 523\/5 - 105. What is the second smallest value in -0.1, c, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 445558?\nAnswer: 2, 222779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8811, -9804, -11451, -13746, -16683, -20256?\n\"Answer: w**3 - 333*w**2 - w - 8478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -11. Suppose -d*f + 7*v - 3*v + 394 = 0, -4*v - 1003 = -5*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from {w: 1, t: 2, y: 1, b: 2, j: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y, -y = -3*v - 0*v + 30. Suppose -5*c + 27 = -2*l, 3*l + v = 5*c - 13. Let k = -38 - -63. Calculate the remainder when k is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 17955\/76 + -3 + 11\/4. What is the greatest common factor of i and 177?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.333 - 2.333. Put -0.06, u, 1\/7 in decreasing order.\nAnswer: 1\/7, -0.06, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000004226 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5722*a - 7550 - 3196 - 14500 = 14808 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -42*(0 + (-20)\/6). Let s = -3449 - -1101. Let d be 2\/21 - s\/42. Calculate the highest common divisor of f and d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -0.004985\nAnswer: 0.0004985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**2 - 8*y. Let j(s) = -s - 1. Let i(r) = -r**2 - 2*r + 5. Let o(q) = -i(q) - 5*j(q). Let c(f) = -2*g(f) - 3*o(f). What is c(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3 - 17 - k + 6 + 7. Let h(u) = 3*u**2. What is h(f(j))?\nAnswer: 3*j**2 + 6*j + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -826374 divided by 43\nAnswer: -19218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*g + 5. Suppose g*w + 0*w - 12 = 0. Let r be w\/7*14\/12. Which is the nearest to 1? (a) r (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 5. Let v be (-4 - -2)*-1 - y. Suppose -a - 22 = 2*q - 85, -v*q + 81 = -5*a. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9 + 1 - 1829\/434 and -101\/538?\nAnswer: 3766","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 48*f**2 - 122*f - 1111. Calculate t(-50).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-35)\/25 - 3\/5. Let h be t\/5 + (-12)\/(-30). Suppose -4*i = -d + 161, h = -3*d - 3*i + 438 + 45. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - 5. Let q = 5 + y. Is (q + 6)*(-132)\/(-8) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-30) + (-18)\/(-5). Suppose 4*g - 20 = -a. Suppose -n - g*n + 10 = 0. Solve b - 1 = n for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4*l - 11, l = -2*l - 6. Let m be (1\/(-3))\/((-7)\/63). What is the units digit of m - (s - 2\/1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h = 5*c + 11*h - 20, -2*c + 5*h = -31 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 12:32 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2. Let g(w) be the first derivative of -817*w**2\/2 - 578. What is g(i(z))?\nAnswer: -1634*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 6*t. Let g(u) be the second derivative of -14*u + 0*u**2 + 0*u**3 + 1\/12*u**4 + 0. Determine i(g(x)).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4 - 6*g**2 + 2 + 3. Let s be 75\/65 + (-3)\/((-117)\/(-6)). Calculate i(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -58603514.\nAnswer: -1\/58603514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1761064582?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 5*u - 15 - 5, 0 = -4*u - 5*r + 45 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 107 - 105. Suppose -3*u - 64 = -7*u. Solve -2*m = k*m + u for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 4 + 2*n - 6 to the form s + p*n and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**2 - 14*q - 177. Let p(i) = 2*i**2 + 11*i + 177. What is 6*p(y) + 5*x(y)?\nAnswer: 2*y**2 - 4*y + 177","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0*b - 4 = 0. Let h be (-14)\/b - 9\/(-18). Solve 3*a + 16 = 5*j, -35 = -4*a - a - h*j for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z + 1. Let i(b) = -b + 8. Let f(t) = -i(t) + 2*s(t). Let k = 4 + -11. What is the units digit of f(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22264 + -13767. What are the prime factors of d?\nAnswer: 29, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a minute in milliseconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/199 greater than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q - 3*q - q**3 - 4*q + 0*q**3 + 6*q**2 - 4. Is h(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26990 - 244018 = -36*a. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - 2 - (1 + -5). Suppose -6*c = -h*c - 8. Let p(r) = -10*r**2 + 195*r + 326. Let b be p(21). Solve -b = -s + c*a, -2*s + 5 = a + 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3 = 0, 0*z + 3*a = -5*z - 23. Let k be z + (15 - (-3 - -4)). Suppose 15*h - 26*h = -44. What is the highest common divisor of h and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 2:00 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence no when two letters picked without replacement from {u: 1, i: 1, e: 2, n: 5, g: 4, o: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/10*50*26\/3120)\/((-50)\/45)?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (71 + -202 - -55)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(4 - 9) - -5*(-203)\/116.\nAnswer: -59\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -121*b**3 - 169*b**2 wrt b.\nAnswer: -726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/11 (b) 4 (c) -1 (d) 6\/47 (e) 0 (f) 561\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/3 - 4*o\/3 + 16\/3.\nAnswer: -2*(o - 2)*(o + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 247, 484, 705, 910, 1099?\nAnswer: 1272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**25*(x*x**35)\/x*x*(x**(-3\/10)\/x)\/(x**24*x) assuming x is positive.\nAnswer: x**(347\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - s = 2*s + 12, 0 = -4*q + s + 13. Let n = 269 - -833. Let w = n + -1103.6. Which is the third biggest value? (a) w (b) q (c) 1 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10661 and 315?\nAnswer: 479745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b - 2. Let f be r(2). Let a(p) = -265*p - 9. Let z be a(-1). Let h = -246 + z. Solve f = -4*l - h for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -177*i**2 - 81. Let b be 38\/(-1) + -2 + 1274\/182. Let f(r) = 11*r**2 + 5. Determine b*f(o) - 2*c(o).\nAnswer: -9*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pd when two letters picked without replacement from {d: 1, a: 2, p: 7}.\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 5 = 5*g - 2*u, 3*u + 7 = -g. Suppose -s + 4*s + 17 = g*q, -3*s - 5 = -2*q. Which is smaller: 14 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573.9594 minutes in nanoseconds?\nAnswer: 34437564000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1664\/144)\/(-52) - 444\/(-297)\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 263 - 239. Solve m - 40 = -4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 10 + (-6 - -8) + -12 + 7 - 74.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -40078, -40056, -40036, -40018, -40002, -39988?\n\"Answer: -f**2 + 25*f - 40102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -113, -196, -307, -446, -613?\nAnswer: -808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, t: 1, o: 1, k: 2, c: 1}. Give prob of sequence kt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -5*x + 812. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 2\/17, 0.25, 0.2 in ascending order.\nAnswer: -2, -1, 2\/17, 0.2, 0.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6 and 194.\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 7*v - 16. What is d(8)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**3 - y**4 + 4*y**3 + 0*y + 614 + 605 - y - 1220 - 3*y**2 to the form x*y**3 + k*y**2 + j*y**4 + m*y + a and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233102 (base 4) to base 8.\nAnswer: 5722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18961 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -36607, -38150, -39693?\n\"Answer: -1543*f - 35064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-36)\/(-27) - 1)\/((-6)\/(-163692)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a day in hours?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36750 + 56914. What is the ten thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18555.\nAnswer: 3, 5, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5649059 to the nearest integer?\nAnswer: 2377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1389731 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 5*z - 6, 0 = 9072*a - 9070*a + 5*z - 12 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -22. Let z be k\/77 + (-2)\/(-7). Suppose 4*g + 58 - 2 = z. Let c(l) = -2*l**2 + 3*l. Let w(y) = 10*y**2 - 14*y. Calculate g*c(j) - 3*w(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s - 1 + 1)*(0*s**3 + s**3 - 2*s**3 + (2*s + 2 - 2)*(4*s**2 - 3*s**2 - 3*s**2) + 4*s**3 + 2*s**3 - 3*s**3).\nAnswer: 8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-two fifths of a micrometer?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 212195.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by 28200?\nAnswer: -1\/1880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*c + 40*g - 36*g, -2*g + 6 = 0. Let a = 43673\/87 - 502. Which is greater: c or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w = 3*y - 30, -w - 29778 = -5*y - 29746 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12 and -1968576.7?\nAnswer: 23622920.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -80*g + 127. Let p be q(-8). Let r = p - -182. What are the prime factors of r?\nAnswer: 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 12:55 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 + (-70 - -17) - -39.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -6*q + 22. Let w be (-8)\/(-44) - (-42)\/q. What is the second derivative of -6*r**5 - 5*r - w*r**5 + r**5 + 3*r**5 wrt r?\nAnswer: -120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, u: 2, j: 2, s: 1, a: 1}. Give prob of picking 2 u.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -751 (base 8) to base 5\nAnswer: -3424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/54 + 1\/(-3). Suppose 2*w + 3*w - 5 = b, 0 = 3*c - 3*w - 3. Factor -h + 0*h**2 - 3 + h**c + 0 + 1.\nAnswer: (h - 2)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 18*v**2 + 5*v + 199. Is z(-16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.4 + -1.357. Let t = x - -0.057. Let b = 1 + -5\/3. What is the closest to 1 in t, b, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89.8 + -2.624.\nAnswer: -92.424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 52804195 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 5*x**2 - 5*x - 2. Let u be a(-4). Suppose -t + u + 0 = -2*v, 3*v + 21 = 3*t. List the prime factors of 6\/(-4)*t\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cx when two letters picked without replacement from {x: 3, v: 1, c: 5}?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -515169*v**5 + 83*v**4 + 6*v**2 - 8143*v - 14 wrt v.\nAnswer: -30910140*v**2 + 1992*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, q: 5, o: 3}. Give prob of picking 2 t and 1 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 9:49 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -400190140*w**4 - 326097881*w**2 wrt w?\nAnswer: -9604563360*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 6 + 1)*(-1012*d + 2076*d - 1009*d).\nAnswer: 275*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*a + 8 = 0. Suppose 0 = -0*q + 4*q + 4*x - 20, 2*q - 3*x + 10 = 0. Sort a, 3, q in decreasing order.\nAnswer: a, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.01 (b) -1\/3 (c) 1\/4 (d) 6 (e) -5 (f) -3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 770534 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s + 3*s - 4*s. Let x(i) = 31*i - 204. Let y(f) = 66*f - 476. Let g(n) = 7*x(n) - 3*y(n). Give g(a(j)).\nAnswer: 19*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-28)*190\/3135*462.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*c + 3 = 3*x, -5*x + 25 = 0. Let m be (-12)\/(-8)*36\/2. What is the units digit of (12\/54)\/(c\/m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3432 = -219*n + 30*n + 57*n for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 191500 a multiple of 391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 433 divide 1401639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.068315 minutes in nanoseconds?\nAnswer: 544098900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z. Let q(c) = 22128*c**2 + 3. Determine q(d(x)).\nAnswer: 22128*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 0*r + 12. Suppose -7 = -r*v + 13. Suppose 2*p - k = 10, 5*p - k - k - 23 = 0. What is the remainder when v is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/12)\/(140\/(-63))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/3 - 232240*h\/3 - 6741927200\/3.\nAnswer: -2*(h + 58060)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -378 - 426 + 804 + 618*l**2.\nAnswer: 618*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -516 + 570.9. Let s = 55 - v. Which is the nearest to s? (a) -2 (b) -1\/7 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 (base 12) in base 3?\nAnswer: -1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 88 and 88 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -922*k + 917*k = 20, 3*k + 16 = 4*i + 32 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand o + 0 + 0 + (-2*o + 0*o + 0*o)*(-7 - 1 - 4).\nAnswer: 25*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 152, 138, 100, 26, -96, -278?\n\"Answer: -2*t**3 + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**2 + t**5 + t**2 - 2*t**5 - 2*t**5 + t**5 + (-4*t**2 + 4*t**2 + t**2)*(-3*t**3 - 6*t**3 - 7*t**3).\nAnswer: -18*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1401.2632 + -11.3968. Let s = 1395 + j. Let l = s - -18. Round l to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.9 and 986?\nAnswer: -5817.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*v - 30*v**3 + 28*v**3 + 3*v - 2*v**2 to the form c*v**2 + o + w*v + k*v**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 2\/3, -1, -0.001, 1, 0.5, 0.21808, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 11*n**2 - 24*n + 2. What is z(7)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 402 - 70. What are the prime factors of x?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -r**5\/15 + r**2. Let n = 86 + -59. Let c(b) = -n + b + 27 + b. Determine s(c(h)).\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 93713 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + 96\/(-18) + 28\/12. Let k be 52\/4 - 6\/2. Which is the second smallest value? (a) -0.2 (b) k (c) -2\/7 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 61*y**2 - 4*y + 4. Let h be t(2). Suppose 0*c + 10*c = h. Let p(x) = -x + 60. Let j be p(0). What is the greatest common divisor of j and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/15)\/((-2)\/(-5)). Suppose -u*h - 4 = 2*y + 2*h, -3*y + 4*h = -24. Solve 0 = 3*d + 12, y*q - 3 = -3*d + 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m - 1. Let x be t(3). Let z(p) = 5*p**3 - 6*p**2 + 19*p - 108. Let i be z(3). Solve -x*v - 4*v + i = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13764 and 59278107?\nAnswer: 3441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -16514*u**2 + 25*u + 29. Let n be t(-19). What is n rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**5 - 12*g**4 - 28*g**3 + 108*g**2 - 72*g = 0 for g.\nAnswer: -3, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3639 is divided by 332.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a. Let k(l) = -7698324*l**2 + 44*l. Determine w(k(g)).\nAnswer: -7698324*g**2 + 44*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 n, and 1 m when four letters picked without replacement from {z: 1, w: 1, p: 1, n: 2, h: 1, m: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + -1)*3.\nAnswer: -3 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4121444 (base 5) in base 9?\nAnswer: 112062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -148627 or -149546?\nAnswer: -149546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -0*g - 33. Let x be g\/(-6) - (-1)\/(-2). Suppose -x*y + 53 = -37. Solve 5*h + 15 = 0, 3*h + y = -2*j - h for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 746 + -428. Suppose -n - 322 = -8*q. Let y = q + -77. Solve 2*w + 2*z = -8, 5*w + 17 = w - y*z for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**5 - 3904*r**4 + 844964*r**3 + 52884664*r**2 + 537664560*r - 2111454432 = 0. Calculate r.\nAnswer: -37, -18, 3, 514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.9879 rounded to one decimal place?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.19 and -263.\nAnswer: 49.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 7 = -34. Let h = o + 42. Is 14 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*q - 448 = 3*f, q = -5*f - 449. Let v = 103 + f. Solve 5*s - a = 3 + 6, -5*s + v = -2*a for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200 (base 14) to base 6.\nAnswer: -1452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -1)\/(-4 - -3). Let i be (2 - n)*(-3 - -6). Suppose i*o - 194 = -26. Calculate the remainder when o is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -46669*w - 21. Let q be t(-9). Suppose c + q = -5*c. What is c rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four thirds of a week in hours?\nAnswer: 3584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 9\/2*k**2 + 0*k**3 + 28*k + 3\/4*k**4 + 0. What is the first derivative of x(a) wrt a?\nAnswer: 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -11, -13?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3575 - 2189. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4450459 is divided by 1207?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11234\/738 + (-2)\/9. Suppose -2*f - 3*f + 25 = p, 3*f - 6 = 0. Solve 2*u + p = l + 4*l, 5*u - 2*l = s for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 30*y - 4. Let k(b) = 30*b - 5. Determine 6*k(o) - 7*p(o).\nAnswer: -30*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + c + 4*h - 4 = 0, -2*c + 5*h + 28 = 0. Suppose -2 = -c*x + 10. Suppose -5*b = -5*z + 20, 0 = -5*z + 31 - 11. Solve -v + b*v + x = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)\/(2*sqrt(9)))\/(sqrt(18)\/(-1*sqrt(2))).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (7 - (7 - -2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/16)\/(3\/2). Let l = 23.7 - 23.8. Which is the nearest to m? (a) -2\/5 (b) 0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 - 21*q + 43. What is the units digit of g(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(833)*2)*4 + (-2*sqrt(17) + 1 - (sqrt(425) + 0))**2)*1.\nAnswer: 42*sqrt(17) + 850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15\/4*k**3 + 321\/4*k + 183\/4*k**2 + 153\/4.\nAnswer: 3*(k + 1)**2*(5*k + 51)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -1\/10*q**6 + 0*q**2 - 1\/4*q**4 - 3\/10*q**5 + 0*q**3 + 0 + 4*q. Factor k(j).\nAnswer: -3*j**2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 102\/90*-3\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55990 is divided by 18656.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3888287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 4:14 PM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 5*v**3\/9 + 25*v**2\/6 - 70*v\/3 - 282. Suppose u(p) = 0. What is p?\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 1 = -t - 13, 0 = 5*u + 25. Let j be (-1)\/(t + (3 - 2))*6. Does -4 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-6\/13)*x*x**1)\/(x\/(x*x**(1\/8))*(x\/(x\/(((((x**(1\/6)*x*x)\/x)\/x)\/x)\/x)))\/x))**(-28) assuming x is positive.\nAnswer: x**(-9821\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.084 + -5.084. Let d = -42 + 43.3. What is the smallest value in 0, v, d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 136, 130, 124, 118?\n\"Answer: -6*x + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 10*g + 26*g - 5*g**2 - 48*g + 4*g**2 - 9. Let x be d(-11). What is the remainder when (95\/(-38))\/(x\/(-20)) is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1669, 1674, 1683, 1696, 1713, 1734?\n\"Answer: 2*x**2 - x + 1668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2502*g**5 - 2*g**2 + 777 wrt g.\nAnswer: -150120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -204 + 9b1676?\nAnswer: 9b1472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2143.254 - 2141. Round d to one dp.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnq when three letters picked without replacement from qqqqqqqnqqqnnqnnqqq.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*n + 3*a, 0 = -0*n + n + 2*a. Suppose 2*y + 10 = -2*d, -5*d - 15 = -d + 5*y. Is d greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -86.56 - 1.44. Let m = -87.999894 - h. Round m to 5 decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 535 (base 11) to base 9\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -970, -2209, -3438, -4651, -5842?\nAnswer: -7005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1111 - -1211?\nAnswer: 10022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 307 divided by 20?\nAnswer: 307\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 352 and 488.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -105*i + 1 + 11 + 104*i. Let m be w(8). Suppose 0*n - n = -m. Solve 5*f - 25 = -5*p, 0 = n*f - 4*p - 3 - 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {o: 1, i: 4, b: 2, n: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2 + 8*a - 34. What is the units digit of c(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllnhhhfhhhnhhhhn. What is prob of sequence lfhh?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 134173?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*q + 753 = -57*q - 111. What is the highest common divisor of q and 3357?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3384 take away 1482.5?\nAnswer: -1482.1616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000368 to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*u**2 - 5*u**2 - 2*u**2)*(u - u - 4*u)*(0 + 0 + 2)*(3 - 1 - 1).\nAnswer: -264*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -1101110111?\nAnswer: -1101111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkuu when four letters picked without replacement from {k: 7, u: 6}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14708 and 14.\nAnswer: 102956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 511*v - 1021*v + 5 + 513*v + 10.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -3*z + 3, 11 = -j + 6*z - 3*z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/7, -16, 11, 4, -0.0184, 1\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 210100020 (base 3) to base 14\nAnswer: 5954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*m - 13, -5*y = -2*y - 2*m + 7. Suppose 4*c - 41 = -3*g, -y - 8 = -3*g. Suppose -2*i - 2 = -c. Put -4, i, 2 in decreasing order.\nAnswer: i, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d - 1. Let n be r(6). Solve -s = 3*j + 17, j - 16 = n*s - s for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4*x = -4, 5*o - 24 = -0*x + x. Solve o*i = -i - 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 161 - 136 = 0. Let i(f) = -6*f**2 - 84*f + 75. Let d(u) = 20*u**2 + 252*u - 224. Let l(c) = x*d(c) - 16*i(c). Factor l(k).\nAnswer: -4*(k - 20)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 z when two letters picked without replacement from {j: 2, z: 1, h: 1, g: 2, a: 12}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1058, 2\/3, -5, 2286 in increasing order.\nAnswer: -5, 2\/3, 1058, 2286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.06 take away 218.69?\nAnswer: -265.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5*b + 2. Let l(o) = -6*o - 2. Let g(f) = -4*a(f) - 3*l(f). Differentiate g(i) with respect to i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 425657?\nAnswer: 19, 43, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/6)\/(17\/(-9) + 2). Suppose 0 = 3*p + l + 10, l + 15 = 4*p - 8*p. Let o = p - -8. Solve -n + 8*f = o*f - v, n = 3*f + 7 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1c (base 14) to base 15\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -m**3\/18 + 14*m**2\/3 - 394. Factor t(x).\nAnswer: -x*(x - 56)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 93 + 127. Let l = 237 - b. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w**(-1\/4)\/w*w))\/w)\/(w**(2\/3)\/w*w))**43\/((w*w\/(w*w**(-1\/4)))\/w**(2\/27))**(-30) assuming w is positive.\nAnswer: w**(625\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1049 - 972. Calculate the remainder when x is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 = 4103*d - 4093*d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by 75.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 782497 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - h + 2*h + (-2*h + 2*h - 2*h)*(-1 + 5 - 3) + 3*h + 2 - 2)*((-15 - 7 + 0)*(-2*h + h - h) - 4*h + 3*h - 2 + 3*h).\nAnswer: 92*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6580271 - -472309729. What is o rounded to the nearest one million?\nAnswer: 479000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 29073577 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 3*l + 2. Let b be j(-3). Is -19*b*(-3)\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 8, -5 in descending order.\nAnswer: 8, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5425, -42912, -144649, -342760, -669369?\nAnswer: -1156600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 8131 a multiple of 173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from puufcffuuucccuucfff?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hmmmhm. What is prob of picking 3 m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s. Let t be k(3). Let a be ((-2)\/5)\/(t\/(-75)). Let x be (-2)\/36*(a - 6). Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -0.35. Let h = 0.35 - 0.3. Let o = h + x. Which is the third biggest value? (a) 0 (b) o (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4512 = -4*s + 2*w, 3*s - 4*w = 2207 + 1177. Suppose -b = -4*c + 4*b + s, 0 = -5*c + b + 1431. List the prime factors of c.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (258\/(-1075))\/((-4)\/30*-3)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -266040 to the nearest 10000.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5512.4731 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9.783 and -5.3.\nAnswer: -51.8499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*y + 77 = -9. Let r = -9 + 20. What is the highest common factor of y and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 20, 5*b - 11 = -2*t + 3*t. Suppose 3*i = -4*o + 56, -b*o - 5*i + 28 = -o. Calculate the highest common divisor of o and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5487*h. Let n(o) = 8*o**2. Determine n(j(q)).\nAnswer: 240857352*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79953229?\nAnswer: 7297, 10957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(5\/3)*d**(3\/5)*(d\/d**(-3\/2))**(-30) assuming d is positive.\nAnswer: d**(-1091\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 466283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, c: 2, m: 6, w: 6, b: 2, d: 1}. What is prob of picking 2 b, 1 d, and 1 o?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7, 5, -5, 3 in decreasing order.\nAnswer: 5, 3, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 12 = -4*z. Sort 0, z, -3 in descending order.\nAnswer: 0, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c + 2. Let t be h(-5). Let u(r) = r**2 + 8*r - 3. Let z be u(t). Put -4, 3, z in decreasing order.\nAnswer: 3, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -7*w**6\/9 - 137*w**3\/6 + 4*w**2 - 17*w. Let c(q) be the first derivative of d(q). Let y(f) = -f. Calculate c(y(r)).\nAnswer: -280*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(3)*1 + 0)*-4)**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -n**4\/4 - 4*n**3 - 11*n**2\/2 + 18*n - 609. What is b(-11)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -181, -357, -531, -703, -873, -1041?\nAnswer: -1207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1872973.\nAnswer: 97, 19309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.014 - 0.514. Which is the closest to 1? (a) -0.1 (b) i (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -645*f - 66 = -656*f. Solve 5*v - f = 11*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 3*j + 4 - 1, 3 = s - j. Let -4\/13 + 2\/13*k**s + 0*k**2 - 6\/13*k = 0. Calculate k.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -7498*i - 1011. Is z(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 666321 and 0.3?\nAnswer: 199896.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12097 = -30*k + 6983. What is the remainder when k is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.31190673 rounded to four dps?\nAnswer: 0.3119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from wwhwhhwwawhhwwwhhww.\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 141, 0, -3, -26, 4 in increasing order.\nAnswer: -26, -3, 0, 4, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/5)\/(d\/(d\/((d\/d**4)\/d))))\/(d*d\/(d\/(d*d*d**0*d*d)*d))**20*(d**(1\/2)*d**(-5))\/(d**(-4)\/(d**(-3)*d)) assuming d is positive.\nAnswer: d**(-789\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1602449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38293 or 398?\nAnswer: 398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/65)\/h*h*h**(3\/17))\/(h**22*h\/h**(-14)) assuming h is positive.\nAnswer: h**(-40724\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*i = -2942, 0 = 2*w + 147*i - 144*i - 5854. List the prime factors of w.\nAnswer: 2, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1678 + -1670. Suppose -3*v + 3 + 3 = 0. Calculate the remainder when c is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -130, -225, -348, -493, -654, -825?\nAnswer: -1000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 118153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 13. Let j be a(10). Solve -5*g + j = -2*r, g + 2 + 0 = 3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 748*m - 2638. Is o(15) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 46 = -4*d, 9*r - 4 = -3*d + 11*d + 7*r for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4411*i**2 - i - 1. Is b(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3160 = -5*n. What is n rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (-1 - 1) + (-77 - -72) - 0.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -277, -1041, -2281, -3973, -6093?\nAnswer: -8617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16 - -61?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -1, -11.\nAnswer: -11, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 901389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35849*i**3 + 21098*i wrt i?\nAnswer: -215094*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -81\/7, -1\/22, -7, 5?\nAnswer: -81\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*d = 10, p + 3*p - 2*d = -20. Let l be -2 + 17 + -5 + p. Solve -l*f = -8 - 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j = -515 + 1593. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4414\/(-906))\/(22\/48). Let b = a - -117\/11. Let j = b + -309\/1057. Which is smaller: j or -0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 9:27 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m - 4. Let h be p(3). Let x be -82*(-25)\/2 - h. Let q = x + -581. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*v**4 - 1263363*v**3 + 2 + 3*v**2 + 264*v + 1263363*v**3 wrt v.\nAnswer: 408*v**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*b**5\/9 - 10*b**4\/9 + 160*b**3\/9 + 50*b**2\/9 - 128*b\/9 - 40\/9 = 0 for b.\nAnswer: -2, -1, -5\/16, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29313659 + 29313659 + 26*d.\nAnswer: 26*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.31 * 46560\nAnswer: 14433.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.2 (b) 3\/2 (c) 0.3 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 197? (a) -2 (b) 0.2 (c) 0.029\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 5*o**2 - 12 - 5*o**2)*(o**3 - 4 + 4) + 0*o**5 + 12*o**5 + 10*o**5.\nAnswer: 20*o**5 - 12*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -47*m + 4. Let p be (-9)\/6*(-20)\/3. Suppose 0 = -5*u + 3*u - p. Is s(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -425.312 + -0.688. Let q = 0.061685123 - -425.936344877. Let c = q + o. Round c to 4 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -298713 and -8.1?\nAnswer: 2419575.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10028579857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 0. Let p(i) = 0*i**2 - s - 4*i + i**2 - 2*i**2. Let y be p(-3). Solve o + h = -4, -4*o + y*h + 12 = -2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3351, -3440, -3529?\n\"Answer: -89*q - 3262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - 0. Let z be -5*(-3 - (w - -2)). Suppose 4*m - 5*m - 35 = -8*m. Solve 14 = -3*x + 5*x - 4*g, -m*g = -2*x + z for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 0. Is p != 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 5, -3, -1, -90, 2, -8 in descending order.\nAnswer: 7, 5, 2, -1, -3, -8, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = 4*y. Let z be (y + 24\/(-15))*-25. Find the second derivative of -7*b - 3*b - b**3 + z*b wrt b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 302055412 (base 6) to base 14.\nAnswer: 97b1ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000946278 to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 5*w**2 - w + 2. Suppose l - 13 = 4*u, -27 = 5*u - 7. Let g be 1\/(4\/(-36)*l). Suppose -2*c = -4*x + 28, x + c - g = -2. What is p(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by 5.\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**2\/2 + 612876*o - 187808495688 = 0.\nAnswer: 612876","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*p**2 - 36*p**2 + 29*p**2.\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3941*x = 3935*x + 30. Suppose -1\/3*q**x + 1\/3 + 2\/3*q**2 - 2\/3*q**3 + q - q**4 = 0. What is q?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xdoo when four letters picked without replacement from {o: 7, d: 5, x: 3, c: 2, l: 1}.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1587355 - 18.\nAnswer: -17.8412645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 34\/5 of a milligram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1441933\/4 or -0.1?\nAnswer: 1441933\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**3 + 2*j**2 + 2. Let a(b) = -3*b**3 - 3*b**2 - b - 3. What is 2*a(l) + 3*g(l)?\nAnswer: 3*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -32c + 935?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*p**2 - 11*p**2 + 4*p**4 + 14*p**2 wrt p.\nAnswer: 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 471210 and 2481706.\nAnswer: 37225590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*s + 22*s + 20*s - 2 as c + g*s and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1503\/7 + 215. Let l = -2 + 2.1. Let n(v) = v - 2. Let a be n(3). What is the nearest to a in l, 0.5, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, j: 7, f: 5, a: 1, v: 2, u: 1}. Give prob of sequence ufv.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18278 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 12*k - 105. Let x(c) = -2*c + 9. Determine x(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*x + 31 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.138 - -39.388. Let i = 0.25 - q. Let d = i - -38.9772. What is d rounded to three dps?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k + 2. Let i(g) = 12*g - 2. Let m(v) = 3*b(v) + i(v). Let r(o) = 1. Let c(n) = n**2 - 9*n + 10. Let x be c(8). Calculate x*r(h) - m(h).\nAnswer: -3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7 or 331\/53?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**7\/12600 - j**6\/45 - 8*j**5\/3 - 67*j**4\/6 - 149*j**2. Let n(o) be the second derivative of i(o). Factor n(y).\nAnswer: -(y + 40)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 3 + 30 + 7 - (-1 + 3 - 13).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5533, 5534, 5535, 5536?\nAnswer: 5537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 256*j + 25. Is s(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 4*o + 4*o + (-3*o + 4*o - 2*o)*(1 - 3 + 3))*(197196 - 391975 + 196606).\nAnswer: 1827*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one fifths of a litre in millilitres?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 359 + -357. Let s be (2\/(-2836))\/((h\/8)\/1). Is 1 at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-73 - (58 - 60)) + 122.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35 - 13514\/(-406))\/((-2)\/((-28)\/3)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -270b4c + -2?\nAnswer: -270b51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -9*l**2 - 1\/6*l**4 + 0 + 0*l**3 + 0*l**5 - 1\/24*l**6 + 0*l. What is the second derivative of p(t) wrt t?\nAnswer: -30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*i**3*s**3 - 46*i**3*s**2 - 142742*i**3*s - 34161*i**2*s**3 + 3131*i*s**2 wrt i.\nAnswer: -18*s**3 - 276*s**2 - 856452*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*i*u*z - 13*i*u + 3*i*z - 21*i - u*z + 46*u + 6*z + 22 wrt u?\nAnswer: -4*i*z - 13*i - z + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + q - 17 = 0, -4*q - 4 - 8 = 0. Let i = s - 4. Find the second derivative of -4*k**3 + i*k + k + 2*k**3 wrt k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4 + 2 = 0. What is the common denominator of p + (-1)\/((-10)\/117) and -99\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(1\/4))\/t)**(23\/2))**(-4\/3)*t*t**(2\/19)*t\/t**(-3\/7)*(t*t\/(t**5*t*t))\/(t**(-5)*t) assuming t is positive.\nAnswer: t**(4283\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 193.26 rounded to 0 decimal places?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.046 - -0.6204143762.\nAnswer: 0.5744143762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 516 (b) -224 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 731608.8 weeks in nanoseconds?\nAnswer: 442477002240000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 11:19 AM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*n + 88*n + 5 = 5*m, 0 = -9*m + n - 22 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1538142676 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/4 - 617*k\/2 - 23085\/4.\nAnswer: -(k + 19)*(k + 1215)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y + 4576*y**2 - 8*y + 14*y - 2286*y**2 - 2288*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 0 - 9*p**2 + 11*p + 1 - 3. Let x(h) = 5*h**2 - 6*h + 1. Let n(k) = k**3 + 7*k**2 + 8*k + 8. Let i be n(-6). Calculate i*v(c) - 7*x(c).\nAnswer: c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50067 is divided by 7146.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/3 of a week in hours?\nAnswer: 1456","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Convert 456849 (base 12) to base 7.\nAnswer: 12303600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w + 200 = -12*w. Let z be (50\/w)\/((-1)\/(-4)). What is the third derivative of z*n**2 - 11*n**4 + 19*n**4 - 5*n**4 wrt n?\nAnswer: 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -3, -23, -71, -159, -299?\nAnswer: -503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + v**2 + 3*v + 1. Let s(f) = -7*f**3 + 7*f**2 + 18*f - 91. Determine s(o) - 6*x(o).\nAnswer: -o**3 + o**2 - 97","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2060 - 2055. Suppose 0 = 4*f - 0*f. Which is the nearest to f? (a) -3\/4 (b) 32 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.514893 rounded to 2 dps?\nAnswer: -2.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13749 or 15121?\nAnswer: 13749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -6*u - 2. Let d(f) = -f + 2. Let j(m) = 2*d(m) - w(m). Suppose t = 5*t + 5*g + 31, -3*g + 11 = -5*t. Determine j(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 1:30 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p - 3*p + 5*p)*(-16 + 28 + 25)*(-5 - 4 + 4) to the form t*p + n and give t.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 210.28 to the nearest integer.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mjmj when four letters picked without replacement from {j: 6, m: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/135*9)\/(((-25)\/(-6))\/5)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6}. What is prob of picking 3 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 539 = 10*s - 17*s. Let g = -52 + 102. Let j = g - s. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 107\/303 + -2\/101. Let q = 2 - 1.8. Which is greater: l or q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4254)\/(-56) - 11\/(-308). Solve -527 - 5 = -t*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2)*(155*t**3 - 859*t**3 + 362*t**3) in the form f*t**3 + m*t + x*t**2 + p and give f.\nAnswer: -684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25*((0 - 0) + 1) is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 152 = -5*x, -5*h = x - 4*x - 88. Let u = -16 - x. Let n = 27 - u. Calculate the remainder when 35 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 249804524.\nAnswer: 249804524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 908930 is divided by 130.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 1489 - 442 + 268 - 20 + 2*d. Let j(c) = -4*c. Determine j(b(w)).\nAnswer: -8*w - 5180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4557 + 21368*t**4 + 2*t**3 - 2*t**3 - 129*t - 21369*t**4 - 8*t**2 wrt t.\nAnswer: -4*t**3 - 16*t - 129","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7872 divided by 6?\nAnswer: -1312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000874139 rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from orvjrjjjjjjrjrojovj. Give prob of sequence jvrr.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 16\/3. Let q = 74 - 77. Which is the closest to -1\/10? (a) 2 (b) q (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (6\/3 - 3)*316*(-6 - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 222*q**3 + 38*q + 57971?\nAnswer: 666*q**2 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56 + 34 - -4) + -1?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/7749 and -13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20553026*g**2 + 12*g + 1192054 wrt g.\nAnswer: -41106052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 3693*p + 48179. Determine i(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 686376 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u + 4*u - 2 + 0*u)*(2*u**2 - 4*u**2 + 4*u**2)*(6 - 3 - 4).\nAnswer: 2*u**3 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -159784898*l**2. Let o(x) = x**2. Give n(o(r)).\nAnswer: -159784898*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 - 424*r - 4140.\nAnswer: 4*(r - 115)*(r + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4*y - 68 = -y, 3*y + 85 = 5*s. Suppose 0 = 5*w + 2*j + s, 0 = -4*w - 2*j - 19 + 7. Let p = 843 + -840. Sort -2, w, p in descending order.\nAnswer: p, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n - n + 5*n)*(4479*n - 90274 + 90274) to v + u*n**2 + d*n and give u.\nAnswer: 13437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + 4*i = -14*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, l: 1, p: 3, w: 2, a: 5}. What is prob of sequence law?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bowa when four letters picked without replacement from awdalbdwwwddwbo.\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (3 + -7 + 0 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**5\/4 + 87*i**4 - 6035*i**3\/4 - 43050*i**2 = 0. What is i?\nAnswer: -15, 0, 35, 328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**2 - 6*f**3 + 5*f**2.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 3:58 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(4\/21)*r**(-23) assuming r is positive.\nAnswer: r**(-466\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 6:46 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, z: 2, p: 1, x: 1, l: 5}. Give prob of sequence ulp.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9455, -9477, -9513, -9563, -9627?\nAnswer: -9705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 3:27 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 303203030 (base 4) in base 2?\nAnswer: 110011100011001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19016100?\nAnswer: 2, 3, 5, 7043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 642*k. Let i(o) = -2*o**2 + 1120*o + 16. Calculate f(i(z)).\nAnswer: -1284*z**2 + 719040*z + 10272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6585825*14\nAnswer: 92201550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 164585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -815951624*i**3*n**2 - 24047*i**2 + 3693*i*n**2 wrt i.\nAnswer: -4895709744*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*y = y + 35, 5*y + 11 = -l. Suppose 0 = -5*p - l*s + s + 24, 3*p - s = 6. Solve -3*a + 0*i = -i + 5, 5 = -a - p*i for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3185, -6660, -10125, -13574, -17001, -20400, -23765?\nAnswer: -27090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 863914327?\nAnswer: 1109, 779003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 229 + 31. What is the remainder when l is divided by 83?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-950)\/(-350))\/(22\/(-308))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*w + 1, -u + 19 = 4*u + 4*w. Let r = -5 - -8. What is the remainder when (u\/3)\/((-5)\/(-70)) is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.896252 years in months?\nAnswer: 34.755024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270*z - 269*z + b - 1 = 0, 0 = -3*z + 4*b + 45. Calculate the greatest common divisor of z and 256.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j + 1. Suppose 3*g + 6 + 6 = 0. Let q be h(g). Let w(b) = b**2 - 4*b - 2. What is the remainder when w(q) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11702*f**4 - 23138*f**4 + 11882*f**4)*(2 - 1 - 4).\nAnswer: -1338*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4489?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 13, -1305, -1\/2, 2, 0.2, 3\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -7*u**2 + 8 - 2 + 2*u**2 - 6*u + u**3. Let h be l(6). Find the common denominator of (1\/2)\/(h\/94) and 43\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -o + 11, 0 = 2*o - 5*o - 5*s + 21. Calculate the highest common divisor of o and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zyzyzyyyzzzy. Give prob of sequence yzyz.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 854 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 11\/2, 10, 5, 25, 6, -0.1 in increasing order.\nAnswer: -0.1, 5, 11\/2, 6, 10, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + -1 + 1)*-2. Suppose p*s - 3*s = 0. Suppose -3*h + 121 = 5*a, a + 5*h - 11 = -s*h. Does 9 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/14? (a) -0.4 (b) -26 (c) -2\/3 (d) 1.81 (e) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 248, 146, 44, -58, -160, -262?\nAnswer: -364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 45, 2, 1, -7 in decreasing order.\nAnswer: 45, 4, 2, 1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 33 = -s, 12*b + 5*s = 13*b - 11. Suppose 4*t = -12*z + b*z + 13, z = 4*t - 3. Solve -z*p + 5*y + 25 = 0, -5*p = 4*y - 4 - 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2355*z**2 + 1835*z - 6. Let g(d) = 35*d**2 + 2*d + 1. Let f(n) = 6*g(n) + s(n). Find the second derivative of f(o) wrt o.\nAnswer: -4290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 3.6. Let d = v + -0.6. What is the closest to 0.1 in 0.1, 0.5, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -9*i**2 + i. Let o be s(1). Let a be 74\/3 + o\/12. Let p = 3 + 0. Solve -2*w + 3*q = p*w + a, -4*w - 4*q = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 755*s + 5047. Is i(12) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*r**2 + 2*r**5 + r - 1 + 7*r**5 - 1 + 2*r wrt r.\nAnswer: 180*r**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, w: 3, h: 5, j: 1}. Give prob of picking 2 h.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -33?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = 3*i - 46 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -182303 + -31.793\nAnswer: -182334.793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 5*y - 10, 4*y - 18 = -5*h + 48. Let p = 62 + -12. Calculate the highest common factor of p and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4639526?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1114 - 1112. Solve -21 = 4*x - 5*g + 4*g, -w*x = 2*g - 2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65920249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(-7) + 0 - (0 + 3). Let q be 5 - (6 - 5) - w. Solve -7 = q*i + 2*b + b, 4*i = b - 9 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -1001202303?\nAnswer: 1001202304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/34 and -19\/61.\nAnswer: 2074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 118 + -117.9679. What is y rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 10:43 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3437641*x**2 + 30317243*x wrt x.\nAnswer: -6875282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 469 (base 15) to base 9\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3357 is divided by 259?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.056445 to three dps.\nAnswer: -1.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-32)\/2)\/(-4))\/((-9790)\/((-2915)\/53)).\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1918918.25 to the nearest 100.\nAnswer: -1918900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/41)*(s\/(s**0\/s))\/s*(s*s**(-2\/17))**(-6\/37) assuming s is positive.\nAnswer: s**(23357\/25789)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1096378837 and 4.\nAnswer: 1096378841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-10) - -2)\/2. Let m = 4.741 - 1.741. What is the second smallest value in m, 1, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31552 + 31674 = 61*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 7, 2.\nAnswer: -3, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 334319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4726745 (base 11) to base 5\nAnswer: -4103024030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 569 + 512 + w**2 - 1081.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -93 - -36. Let h = 53 + k. Let j = 0 + 2. Which is smaller: h or j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 5. Let d be u(-5). Suppose k = -4*k + d. Let j = -21 + k. Solve 0 = 3*l - 5*v + 6 - 19, 10 = 4*l - j*v for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1044 and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/72168 and 43\/17112.\nAnswer: 1659864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 559309, 1118465, 1677621?\n\"Answer: 559156*o + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 12*j**4 - 6*j**4 + 0*j - 2*j**3 + 15*j**4 - j to the form c*j**3 + v*j**4 + h*j**2 + w + y*j and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8782 + 8782 - o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 538*z - 543*z = 4*n - 158, -z + 3*z - 2*n = 56 for z.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*b + 54 = -58*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i - 1. Let c(t) = -27*t - 21. Let b(h) = c(h) - 15*r(h). Does 19 divide b(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -98306 > -97263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*d**3*z**2 + 2*d**3*z - 10*d**3 + 54*d**2*z + 7*d*z**2 - 13*d + 48*z**2 wrt z?\nAnswer: -8*d**3 + 14*d + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 227271 = 4*x - 63*x. List the prime factors of x.\nAnswer: 3, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 6\/4)*2. What is the remainder when 21 is divided by 6\/9 - (-31)\/v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17402370, -6, 3.\nAnswer: -17402370, -6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2 - 610*t - 13. What is g(0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -34536\nAnswer: 5\/17268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 w when four letters picked without replacement from {q: 7, w: 6}.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -413, -2\/31, -1, -30, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -49*z**2. Let i(j) = -4*j**2. Give t(i(c)).\nAnswer: -784*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/63)\/(1\/(-45)*-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -5*a - 68, -2*i = 281*a + 2*i - 0*i + 1172 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/((-7)\/16)*1*-2. Which is smaller: z or 33?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1037 + -535?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -19.96. Let d = j - -0.0400048. What is d rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2b7b5b (base 12) to base 14\nAnswer: -153703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 7744?\nAnswer: 3\/3872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 21*s**2 + 21. Let z be u(-21). Suppose -j = -2*j + z. Suppose -p - 9 = -5*r, -4*p + 2*r + j = r. Solve 3*x = -3 + p for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-35) + (-103)\/(-7). Let s = j + -12. Suppose -s*k + 14 = 8. Solve -6*g + 4*g + 1 = -3*n, 2 = -k*n + g for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 500548 divided by 1156?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 143666 - 30600926\/213. Let d = 1\/71 - t. Suppose 5*b = -0 + 5. Which is smaller: d or b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153363752?\nAnswer: 2, 19170469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1530 and 544.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 476 - 3327\/7. Let y be (-2 + 3)*(0 - 0). Is y >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1824 (b) 1\/7 (c) 1 (d) -16 (e) 0.5 (f) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9614897 * 0.4\nAnswer: 3845958.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 699963839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1018.8 - -1018.3. What is the second smallest value in -5, 14, 12, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -523 - 3?\nAnswer: -530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 37*k**3 - 7*k + 10. Let t(s) = -12*s**3 + 2*s - 3. What is 2*g(u) + 7*t(u)?\nAnswer: -10*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 9*z - 5*j = 34, -2*j - 28 = -4*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**16\/(r*r**2) assuming r is positive.\nAnswer: r**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2128260 divided by -1?\nAnswer: -2128260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - (-2)\/((-8)\/28). Let h = 19 + -17. Let o(r) = -6*r + 2 + 8 - 5 - r**h. Give o(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 10*c + 5409*c**2 + 23 - 5410*c**2 + 5*c. What is x(15)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -137861.4 to the nearest 1000.\nAnswer: -138000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 4*v + 3. Let q be m(-4). Let g = -474 - -1926. Is q\/(-15) + g\/10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.126 + -0.029. Round q to 2 dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13160 and 224.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*q - 30464 = 22*q. Suppose -5*x = -q + 1558. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 284 + 1?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -8*n**2 - 7*n + 4. Let m be b(-8). Calculate the highest common factor of m and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81852733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 523 - -5088. Does 31 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2381 - -2384. What is the second smallest value in 0.2, -3, t, 2.7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 995064 is divided by 199011?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -480 - -487.02. Let i = j + -7. Let n = 0.02 - i. Sort 0.3, 5, n in ascending order.\nAnswer: n, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) 2\/15 (c) 16\/7 (d) 27298.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 p when four letters picked without replacement from pprprppppprp?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 7:34 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/5 + 2\/5*p**2 + 6\/5*p = 0. Calculate p.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -917679, -1835258, -2752837, -3670416?\nAnswer: -4587995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1\/4, -4\/3, 0.05, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and 253027370425405.\nAnswer: 253027370425406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3557 (base 10) to base 12\nAnswer: 2085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d - 16*d + 8*d. Let n(b) be the third derivative of b**5\/60 - b**2. Calculate g(n(k)).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 24*i**2 + 26*i - 16. Calculate m(-25).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/75565 and -113\/70.\nAnswer: 151130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(7) + sqrt(7)*-2)**2 - (0 + sqrt(7) + (4*sqrt(7))**2 + sqrt(7)).\nAnswer: -101 - 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 4*w = 0, -12 = 2*u - 3*u + 5*w. Let v = 7 + -4. Suppose 0 = 2*k - 4*m - 1358, u*k - v*m = 7*k - 3356. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (2 - 3 - -5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 285163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {b: 2, m: 8, s: 3, p: 6}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w - 4. Let l(m) = 5*m - 9. Let q be ((-87)\/58)\/((-3)\/(-4)) + 7 + -8. What is q*l(i) + 7*y(i)?\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46 - 19 - 6) + -3.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1678141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**2 - 13*o + 18. Let k be i(9). Let a = k + 118. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 1. Let h(o) = -2*o**3 + 2*o**2 - 5*o + 2. Let w(y) = -h(y) + 2*v(y). What is the second derivative of w(d) wrt d?\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of 13*o**7\/210 + 59*o**3\/2 + 98*o**2. What is the derivative of t(s) wrt s?\nAnswer: 52*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8337, 16675, 25013, 33351?\nAnswer: 41689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*x + 10*x + 16*x + 12*x + 11*x.\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 1864.\nAnswer: 3\/1864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3483 + 3801. What is the highest common factor of 4346 and g?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3163 - 4779. Let n = 22593\/14 + a. Calculate the common denominator of -91\/44 and n.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than 7\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaccccca. Give prob of picking 3 a and 1 c.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.8 + 6.8. Which is smaller: -4 or j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 4\/5*z**5 + 0 - 8\/5*z**3 + 0*z**4 + 4\/5*z + 0*z**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, s: 4, w: 8}. Give prob of picking 2 w and 1 s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/24265602 and 52\/44486937.\nAnswer: 266921622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2011212 - 111?\nAnswer: 2011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -621*h**4 + 11462*h**3 - 117*h**2 + 5266*h + 4 wrt h.\nAnswer: -14904*h + 68772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-4)*3)\/(((-88)\/(-2156))\/((-152)\/133)).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 24 = -11*w. Solve q - w = -4*q + 3*l, -3*q - 2*l = -10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 - -15. Let c = s - -16. Calculate the remainder when 9 is divided by -3*(c + -2) + 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 9*p**2 + 6*p + 6. Let u(x) = -40*x**2 - 3*x - 36. Let c(j) = -8*j**2 - j - 7. Let t(s) = 11*c(s) - 2*u(s). Determine 6*q(v) + 7*t(v).\nAnswer: -2*v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -8 (b) 40 (c) -1\/5 (d) -36.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1820406164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyqqyqyyyzqqqqqqqq. Give prob of sequence zq.\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.6 + 3.6. Put t, 0.3, 5 in descending order.\nAnswer: 5, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (7 + -2 + (6 - (-1 + 6)) + -9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-4))\/(30\/24)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20050.7 grams to kilograms.\nAnswer: 20.0507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/3 - 250*s\/3.\nAnswer: -s*(s + 250)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.27 + -0.07. Let i = 0.33 + -0.33. What is the closest to i in 0.5, k, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86, -175, -268, -365, -466, -571?\nAnswer: -680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -1123*g. Let p(v) = v. What is p(s(q))?\nAnswer: -1123*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 7*z**2 - 13*z + 21. Let a be 1*(-4 + (-9)\/(-3)). Let p(r) = -22*r**2 + 2*r + 2. Let l be p(a). Is m(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 0. Let p be 4\/3*3\/b. Find the second derivative of -5*r - r + p*r + 2*r**4 wrt r.\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3*(sqrt(143)\/sqrt(176) - sqrt(13) - -4*sqrt(13)*1))**2 - (-4 + 4*(0 + sqrt(117)) + 3).\nAnswer: -63*sqrt(13)\/2 + 19805\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.7 (b) -0.32 (c) 2\/9 (d) 5 (e) -2 (f) 0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -42*o**3 - 7*o**2. Let b(u) = 125*u**3 + 20*u**2. Give 11*a(i) + 4*b(i).\nAnswer: 38*i**3 + 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -86 < -1015\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269\/(8*(-4)\/(-544)).\nAnswer: 17, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 5742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 375880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6*o - 4 - 2 - 3 + 2. Is 23 a factor of k(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + k + 91 = 0, -3*g + 0*k + 2*k - 60 = 0. Let r = g - -23. Let l(a) = a**2 + 4*a - 7. Let j be l(-5). Which is bigger: j or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12606, 27064, 41522, 55980, 70438, 84896?\nAnswer: 99354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40042 + 38865.16. Round y to the nearest 10.\nAnswer: -1180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -49, -108, -167, -226, -285, -344?\n\"Answer: -59*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 9*b + 7. What is f(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.016617416 rounded to three dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**3 - 21*t**2 - 19*t - 102. List the prime factors of z(-18).\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 9, 6, -1\/3, -1 in increasing order.\nAnswer: -2, -1, -1\/3, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/19831 or 267\/26?\nAnswer: 267\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -5. Let y(a) = 1024999*a**3 + a**2 + 3*a - 2. Let k be y(l). Round k to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16779\/1598*(-1)\/6\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 11 - 1. Let k be (g - (-1 - 2)) + 6. Let m(c) = 2*c + 2. What is m(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 390693577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(17) + 0) + 0 + -2 + sqrt(17).\nAnswer: -2 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/14772266 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1000101000001 (base 2) to base 11\nAnswer: 3356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168*c**2 + 213*c**2 + 286*c**2 + 5.\nAnswer: 667*c**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + a + 3. Let k(b) = -7 + 3*b**2 - 457*b + 107*b + 119*b + 118*b + 111*b. Determine 2*k(c) + 5*u(c).\nAnswer: c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2701)\/(-2) + (6\/(-4))\/3. Round z to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 48? (a) -197424 (b) -1\/2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 10 - 0) + (-26 - 7).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 11:00 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -2, 5, 2348, 1 in decreasing order.\nAnswer: 2348, 5, 3, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37*i**2*r**3 - 286*i**2*r**2 - 19*i*r**3 - 120*i*r**2 wrt i.\nAnswer: -74*r**3 - 572*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g + 1. Let u be c(3). Suppose q + 2*q - 12 = 0, 3*t - u = -q. Find the second derivative of t*a**3 + 4*a**3 + 0*a**3 - 2*a - 3*a wrt a.\nAnswer: 36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -v**3\/3 - 3*v**2\/2 + 3*v + 2. Calculate q(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (308\/(-770))\/((-22)\/(-20))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 24b + -5?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 0. Suppose -2*z - 4 = -k*z. Let o = 5 - z. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -610 - -658. Calculate the highest common divisor of 120 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 27014.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 429 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i - 3*u - 4 - 6, -5*i + u + 30 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 852 and 307146.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.92 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1860327 or -1860306?\nAnswer: -1860327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3 - 161 = 0. Is 22 a factor of d*(2 + -2 + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + d - 2*d)*(-3 + 2 + 0) - 2 + 2 - d + 397*d - 10*d + 134*d.\nAnswer: 522*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8828696 times -0.5?\nAnswer: -4414348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -5. Let d(t) = 33*t + 27. Let y be d(-1). Let l(g) = -g**3 - 2*g**2 + 3*g + 4. Let w be l(-3). What is the closest to y in 1\/3, k, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -15617 and 223 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-45)\/(-135)*(11 - -1). Suppose 2*v = -4*q + 6, -26 = 4*q - f*v - 50. Solve -3\/2*l**q + 3\/2*l**2 + 0 + 0*l + 3\/2*l**5 - 3\/2*l**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 245.2 (b) 0 (c) -326\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 30*f**2 + 78*f + 5. What are the prime factors of z(-11)?\nAnswer: 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-12)\/(v*v\/(v*v*v*v\/v**(2\/91)*v)*v) assuming v is positive.\nAnswer: v**(-912\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*z. Put 3, z, 4 in descending order.\nAnswer: 4, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -9*r**2 + 6*r + 4. Let t(m) = m**2 + m**2 - 4*m**2 - m + 3*m**2 - 1. Determine -k(u) - 5*t(u).\nAnswer: 4*u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*x + 42*x + 2030 = -72*x for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 13, -976, 0 in descending order.\nAnswer: 13, 3, 0, -3, -976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -942493, -942488, -942481, -942472?\nAnswer: -942461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-294)\/588)\/(((-4)\/(-186))\/(8\/(-6)))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q**2 - 18*q - 30. Let z(h) = 3*h**2 - 18*h - 28. Let f(n) = -4*o(n) + 5*z(n). Calculate the smallest common multiple of f(-13) and 50.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) -8.8 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(-4))**28)**(7\/4) assuming h is positive.\nAnswer: h**(-98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 7*g = 15. Find u such that 2*u**3 + 1 + g*u**2 - 8*u + 3 - 2 + 2 - u**4 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 597510.\nAnswer: 2, 3, 5, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 528?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**3 - 2*o + 4*o - 2*o - o - 8*o**2 in the form q + t*o**3 + w*o**2 + v*o and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2271606 to the nearest one thousand.\nAnswer: 2272000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 - 119. Let d = 98 + j. What is the remainder when 85 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -49?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.288967 nanograms to tonnes.\nAnswer: 0.000000000000003288967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 1306009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 662*1\/(-8) + (-9)\/(-12). Let z = 13 - b. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**4 - 67*q - 4*q**2 - 2*q**3 + 7 - 41 + 33 as m*q**2 + c*q + h*q**3 + o + j*q**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**4\/z**(-2))\/(z\/z**(-1\/2))**(1\/65) assuming z is positive.\nAnswer: z**(777\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 35, 0, -5 in decreasing order.\nAnswer: 35, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3150 and 12600.\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 5*g**2 - g + 9. Let z(n) = -n**2 - 6*n - 3. Let v be z(-2). What is the remainder when 50\/4*4\/5 is divided by p(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 4:29 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/6 and -93\/1120.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*((z*z*z*z**(-8))\/z)\/z)\/z**7)**(8\/3)*(z*z**5\/z*z**(2\/7))**5 assuming z is positive.\nAnswer: z**(-173\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0 = -9. Let t be (11 - 9\/((-108)\/(-276))) + 14. Solve 3*b - t*c + 20 = 3*c, c + v = -2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7253*i**3 + 7256*i**3 - 14514*i**3.\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -941 (b) -13\/9 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 25*g**7\/42 - 11*g**3\/3 - 12*g - 72. Let a(n) be the first derivative of t(n). What is the second derivative of a(i) wrt i?\nAnswer: 500*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -1. Let r be (0 - (2 + -1)) + (-5304)\/(-1326). Solve y + r = c*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h**2 + 2*h + 8. Let a be f(-2). Let g be (-24 + a)*3\/(-4). Solve -g*o + 0*o = -9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.703 minus 4.1?\nAnswer: -3.397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(270) - sqrt(270))\/sqrt(6) + -3 - (-1 + ((-1 + sqrt(125))*-6)**2).\nAnswer: -4538 + 351*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -o**7\/105 + 7*o**4\/24 - 13*o**2. Find the second derivative of y(n) wrt n.\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 2:53 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 - p**2 - p**3 + (-59*p**2 - 80*p**2 - 167*p**2)*(-2*p + 0*p + 0*p) + 2*p**2 - 2*p**2 + p**3 to b + g*p**3 + m*p**2 + i*p and give g.\nAnswer: 612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((-1*sqrt(242)*-4 + 4)*-5 + -1))**2.\nAnswer: 9240*sqrt(2) + 97241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4.951248 weeks?\nAnswer: 831.809664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3440? (a) -0.3 (b) 5\/6 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9663730 and 2?\nAnswer: -19327460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5aa653 + 20a?\nAnswer: 5aa861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -19906, -19991, -20062, -20113, -20138, -20131, -20086, -19997?\n\"Answer: z**3 + z**2 - 95*z - 19813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154178.\nAnswer: 2, 127, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15362.61 - 15360.957687. Let p = -1.653 + b. What is p rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1146)\/(-12224))\/(2\/16))\/((-30)\/128)?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2949, 12227, 27741, 49497, 77501, 111759, 152277, 199061?\n\"Answer: j**3 + 3112*j**2 - 65*j - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1422 (base 6) in base 12?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-12) - (-1111)\/66. Which is smaller: 18 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/15 (b) -2\/67 (c) 1497.6 (d) -0.051\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38883 is divided by 101?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b**3 + 2*b - 92*b**3 - 2*b.\nAnswer: -97*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 4:46 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*a - 33*a = -4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 4)*(4*o - 3*o + 0*o) + 3*o + 3*o - o - 7*o + 2*o + 4*o.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9268998 to the power of 1\/4, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v + 430 - 358 = 0 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 54*w + 63. Let p = -73 + 77. Is q(p) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.1, -4, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/16198798 and -55\/1758.\nAnswer: 48596394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 7*g**2 - g. Let z be 1 + (-7)\/(7\/2). Determine r(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156\/(-22) - (-51 + 44)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -i**3\/3 - 328002. Let c(j) be the third derivative of 73*j**4\/24 + j**2. Calculate l(c(x)).\nAnswer: -5329*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*j + 375*j = -17496 for j.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*k + 172, 380 = 5*k + 4*o - 27. Suppose -3*g - p + k = 0, 2*p + 0*p + 114 = 4*g. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -635220*q**3 - 637*q**2*t - 15194954*t - 7 with respect to q.\nAnswer: -1905660*q**2 - 1274*q*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -19*t**3 + 3*t**2 + 17. Let c(i) = -20*i**3 + 2*i**2 + 17. Let b(w) = 3*c(w) - 2*v(w). What is the first derivative of b(m) wrt m?\nAnswer: -66*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.439 <= -3\/374507?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 918 - (3 + -7) - 6?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2*x + 2*x + x + (-1 + 1 + 2)*(3*x - x - 3*x) + 0*x - 3*x - 3*x - 2*x + 0*x - x to the form k*x + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 688 is divided by 121.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1085*p - 2302*p - 1854*p.\nAnswer: -3071*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = t - 5*h, -5*t - 4*h - 32 = -5*h. Does 48 divide 17358\/55 + t\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 26. Suppose f - b - 11 = t*f, -5*f - 18 = -3*b. Let p(i) = -3*i**3 - 2*i**2 + 5*i - 4. What is the units digit of p(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9\/2873 - -8601\/5746. What is the second smallest value in -48, g, 2\/5, 0.5, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f + 14*f - 14*f - 205*f**3 + 3*f**2 as y*f**2 + r + m*f + z*f**3 and give z.\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 58*u + 6618. Give p(-107).\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -134 - -136. Let v = 13 + 10. Suppose -v = t*p - 135. Calculate the highest common factor of p and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z - 5. Let w be t(-4). Let a be w\/3 + (1 - 0). Suppose 4*p - q = -4, -3*p - 2*q + 4 = -q. Is p greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6963*w**2 - 417*w - 21. What are the prime factors of j(-3)?\nAnswer: 3, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 3*r**2. Let k be d(2). Suppose 3*p + 12 = k*v + p, 2*p - 6 = -5*v. Find the third derivative of -2*f**2 - f**2 - 2*f**v - 2*f**3 wrt f.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (216\/20)\/((-4)\/(-10)). Suppose 0 = -g*n + 22*n + 1645. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2623739 (base 10) in base 9?\nAnswer: 4838075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -1. Let r = 0 - n. Let w = r + -2. Is 0.1 not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19629 or -19627?\nAnswer: -19629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47249, 47256, 47263, 47270, 47277?\nAnswer: 47284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((4\/12)\/1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -405 + 418. Let w(l) = 39*l**2 + l + 1. Let d be w(-1). Let i = y + d. Calculate the remainder when i is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1206 and 14740.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/241161 + -8762018\/39791565. Let t = -2\/99 - b. What is the third biggest value in 0.5, t, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7492 is divided by 1245.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 645 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**3 - i**2 - 2*i + 1. Let q(o) = -o**5 - 166*o**4 - 513*o**3 - 483*o**2 - 149*o - 7. Let x(p) = -3*q(p) - 21*z(p). Factor x(w).\nAnswer: 3*w*(w + 1)**3*(w + 163)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5746 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 - (14 + (38 - -31)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s**5 - 45*s**4 - 2951*s**3 - 52*s**2 + 20290 wrt s?\nAnswer: 120*s**2 - 1080*s - 17706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - o - 31, -f = f - 2*o - 6. Solve -2*q - f*q = 9 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246016418 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 6:53 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11164.7*-1.\nAnswer: -11164.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -448*f + 522*f + 94 = -4050 for f.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 14697135?\nAnswer: 14697135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -207 - -212. Suppose 0 = -4*x + u*a + 483, 2*a + 0*a - 391 = -3*x. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -10797*y + 532. Is c(-21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3\/103 + 112\/309. Let q(u) be the first derivative of f*u**3 + 0*u + 0*u**2 + 3. Let q(h) = 0. Calculate h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128*-0.12.\nAnswer: -15.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -98 + 91.3. Let k = u + 7. Let d = -136 + 132. Sort d, k, -1 in decreasing order.\nAnswer: k, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 b when three letters picked without replacement from yssbaibhsihb?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (0 + 6*(sqrt(832) + -4))**2.\nAnswer: -2304*sqrt(13) + 30525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**3 + k**2 + 4*k**2 - 2*k**2 + 3*k**2.\nAnswer: 2*k**3 + 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5356128.\nAnswer: 2, 3, 55793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 - 51. Suppose 0*o = -5*o. Which is the nearest to o? (a) 5 (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54340*i**2 - 54340*i**2 + 78*i**3.\nAnswer: 78*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*v**4 - 2*v**3 - 383*v?\nAnswer: 48*v**2 - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 5*y - 35 = 0. Let a(t) = -7 + 1 + 6*t - 9. Let d be a(6). Calculate the greatest common factor of y and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 170, 328, 486, 644, 802?\nAnswer: 960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1132 - 1132.5. Let s(u) = 2*u - 4*u**2 + 3 - 4*u - u**3 + 0. Let z be s(-3). Which is the second biggest value? (a) z (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/a**(-25)*a)**(1\/34)*((a**(-38)\/a)\/a*a)**(-8\/5) assuming a is positive.\nAnswer: a**(5374\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5128 + 5130. Suppose -3 - 11 = 2*j - 4*c, -9 = -3*c. What is the second biggest value in a, j, 15, -0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/3)\/((-8)\/(-84)). Let t = 1800 + -1793. Calculate the greatest common factor of u and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5764940 and 36.\nAnswer: 51884460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 1879\/18889 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r**3 + 3*r**2 + r - 3. Let p be n(-4). Suppose -3*v - 339 = -3*j + 3, 2*j - v = p. Suppose 32 = -3*x + j. Does 16 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 399025911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -90371, -361433, -813203, -1445681, -2258867, -3252761, -4427363?\n\"Answer: -90354*m**2 - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 8*l = 20. Let s = -3.5 + 2. Let f = s + 1.2. Which is the smallest value? (a) -3\/2 (b) f (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 12:42 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -137\/49 + 46667\/16954. What is the common denominator of 13\/8 and p?\nAnswer: 1384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 137*f + 22333. Let c be a(-163). Suppose -4*d + 12\/5 + 4\/5*d**3 + 4\/5*d**c = 0. What is d?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 7*w**2 + 5. Let m be n(7). Suppose t + 3 = 0, m*f - 4*t - 12 = 2*f. Solve -2\/5*u**4 + 0 + f*u - 2\/5*u**2 + 4\/5*u**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u - 3*u + 3*u. Let q(x) = x + 2. Let i(h) = -5*h - 6. Let n(w) = i(w) + 3*q(w). Determine n(m(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000281087204 rounded to seven dps?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*v + 2\/3*v**3 - 26*v**2 + 0.\nAnswer: 2*v**2*(v - 39)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (56\/(-6))\/(6\/(-27))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2023050405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 106 and 177623?\nAnswer: 18828038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*k, k - 2*k = -2*r - 9. Let q(c) be the second derivative of -7\/2*c**2 - 1\/20*c**5 + c - 5\/12*c**4 + 0 + 0*c**3. What is q(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (144\/105)\/8*(-55)\/(-99).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**0)**38*o**(-7)\/o*o**(-6)*(o**(-1\/4))**(-22\/5)\/(o**(-6)\/o**(1\/2)) assuming o is positive.\nAnswer: o**(158\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6956845.6027 + 5\nAnswer: 6956850.6027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 + -61 + (1 + -4 - -28).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a decade?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2102*g. Let o(a) = -5*a**2. Calculate j(o(q)).\nAnswer: 10510*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - -137)*(14 + -6). Let k be 1\/(-4) - 1\/(-4). Suppose k = i - t - 9800 - m, -3*t = 12. Round i to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -6*m**2 + 4*m - 20. Let b(f) = -f**2 + f - 4. Let h(j) = 16*b(j) - 3*r(j). Let k(q) be the first derivative of h(q). Differentiate k(u) wrt u.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 221197 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -125*t - 240. Let h be a(-2). Solve -q + c - 9 = -3*c, -4*q + 3*c - h = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82588 equal to 82593?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1195*(-46)\/(-920)*(2 + -14). Put 2, h, -2, 5, -5 in decreasing order.\nAnswer: h, 5, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*q + 4*q - 364 = 0. Let y(k) = -k**3 + 16*k**2 - 35*k + 110. Is 13 a factor of y(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -7*d**2 + 3*d + 1. Let z be j(9). What is the remainder when 45 is divided by z\/(-33) - 1\/3?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3223 + -2110440?\nAnswer: -2114103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = -5*s + 119. Suppose f + s = 48. Let a(i) = 5296*i**3 + i**2 + 5*i - 16. Let d be a(f). What is d rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in 0.2, 27, 0.5, -97, 20?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1117, -2211, -3291, -4351, -5385, -6387, -7351, -8271?\nAnswer: -9141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccccccc. Give prob of picking 3 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 18*q**2 - 58*q + 86. Calculate i(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-80)\/105 + (-2)\/(-6). What is the biggest value in -7, l, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*j - 48*j + 138*j - 45*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**3 - 11*p. Let j(a) be the first derivative of -a**2\/2 + 147. Calculate 22*j(l) - 2*r(l).\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + (-1)\/(-2))\/(15\/(-1440)). Suppose o + b = -3*o + 4*j, j = 0. List the prime factors of 896\/18 - o\/54.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 69*f - 90*f + 504. Solve -3*l - f = 9*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1465, -5840, -13131, -23338, -36461, -52500, -71455?\n\"Answer: -1458*t**2 - t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18512177.999951 + -18512144. Let l = -34 + n. Round l to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 1545 = 5*m, m - 10*d + 12*d = -309. Let g = 311 + m. Let u be (-274)\/(-14) + 3\/7. Solve -3*l = 2*s + u, -4*l - 28 = g*s + s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 8*t + 7. Suppose -8*k = -0*k - 40. Calculate a(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -d - 95, 0 = -3*h - d - 0*d + 265. Let z(c) = -c**2 - 5 + c - c**2 + 4*c**2. Let q be z(-3). Calculate the greatest common divisor of q and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 10*x + 7. Let z be t(11). Is (114\/(-24))\/(1\/z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/709832 and -45\/177458?\nAnswer: 709832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b - 4*r - 22, 20*b - 21*b - 278*r = -274*r - 2 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1485, -1496, -1515, -1542, -1577?\n\"Answer: -4*t**2 + t - 1482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -166, -333, -500, -667, -834, -1001?\nAnswer: -1168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -1, -4, -3281 in increasing order.\nAnswer: -3281, -20, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -37*z + 34*z - 3*s, 0 = -2*z - s + 7 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 416821*t**2 - 164004*t**2 - t**3 + 2*t**3.\nAnswer: t**3 + 252817*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*m = -6*p + 9, 4*p = -2*m - 2. Let d be 6\/(-15) - (-126)\/15. Suppose 2*c + 5*k = -12, -d = 2*c + k - 4. Put 4, p, c in ascending order.\nAnswer: p, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 491313273?\nAnswer: 3, 11, 29, 131, 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -3\/70*g**7 + 48*g**2 + 0*g - 1\/60*g**5 - 37\/6*g**3 + 0 + 0*g**6 + 0*g**4. Differentiate v(l) wrt l.\nAnswer: -36*l**3 - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 42336*g**3 + 4270392*g**2 - 1119525*g\/2 + 36663\/2.\nAnswer: 3*(g + 101)*(168*g - 11)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**3 + 6*p**2 - 6. Let t(g) = 3*g**3 + 5*g**2 - 5. Suppose -5 + 2 = -2*f + 3*r, 4*f + r + 29 = 0. Give f*t(v) + 5*w(v).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 695415 and 6433560?\nAnswer: 3885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3147666707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/21 of a week?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -7*m**3 - 30*m**2 - 52*m + 167. Let t(u) = 3*u**3 + 13*u**2 + 26*u - 84. Let y(n) = 2*o(n) + 5*t(n). Is 57 a factor of y(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4205 (base 6) to base 2\nAnswer: -1110101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 1\/5 (c) -0.03 (d) -313\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -566\/101?\nAnswer: -566\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 678112.2?\nAnswer: 2712448.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12689323 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -146391\/20 - -7325. Find the common denominator of -115\/18 and c.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, r: 10, x: 3, b: 1, e: 2}. Give prob of sequence ueeb.\nAnswer: 1\/28560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, f: 2, a: 3, s: 6, t: 3}. Give prob of picking 1 f, 1 a, and 1 s.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-30)\/(-4))\/(1\/42) - -2. Let j = c + 248. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - (-11 - -1)\/2*1. Let i(o) = -p - 14 + 6 + 4 + 6. Let n(j) = j + 1. What is 2*i(m) + n(m)?\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 273218 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 11:32 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4771162 meters to millimeters.\nAnswer: 477.1162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(266)\/sqrt(7)*5 - sqrt(38)) + sqrt(38) - sqrt(38))\/((-3*sqrt(16))\/sqrt(8)).\nAnswer: -4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -70332*g**3 - 279*g**2 + 86 wrt g.\nAnswer: -421992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of z**5\/24 + z**3 - 4. Let f(v) be the third derivative of o(v). Let u(l) = 2*l - 42 + 42. What is u(f(k))?\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15011 + 211*b - 15011)*(5 + 6*b**2 - 5).\nAnswer: 1266*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 66*o**3 + 7*o**2 - 3. Let v be p(5). Let z(w) = -9*w + v - 8422. Let l(q) = q**2. Determine l(z(x)).\nAnswer: 81*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*l = -7, -4*x - 11 = -9*x - 3*l. Let j be (-1 - (-1)\/x) + -26770. Let r = -142770 - j. What is r rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*u**2 - 814 + 4*u**4 - 2*u**3 - 6*u**4 + 780 + 3*u**3 - 15*u**2 to the form m + v*u**4 + x*u + y*u**3 + d*u**2 and give m.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 56\/70 + (-422)\/(-10). Suppose 4*n = 3*k + 51, -5*n - 2*k - 8 = -o. Let p = 146 - 101. What is the highest common factor of p and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -7182078*p**2. Let y(h) = 13*h**2. Calculate y(s(x)).\nAnswer: 670569177175092*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6637283 - -11843469. Let o = 7606186 - m. Round o to the nearest 100000.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53877 - 53876.10018. Let r = u + -0.9. Round r to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1, 64, -147.677, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5904 is divided by 1233.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 + 6154671?\nAnswer: 6154671.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -99.2 + 3.2. Let j = q + 96.0000137. What is j rounded to six decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 14*n**2 + 16*n + 18. Let s be w(-15). Let p(x) = x**2 - 11*x + 20. Let y be p(s). Let a = -9 + 13. Sort -0.7, -1\/10, y, a.\nAnswer: y, -0.7, -1\/10, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5696, 5691, 5686, 5681, 5676, 5671?\n\"Answer: -5*u + 5701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 2 - 2 + (-w + 3*w - 3*w)*(0 + 0 - 2))*(0 + 0 - 5).\nAnswer: -15*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 606094?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.27 and -0.0663?\nAnswer: -0.482001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4*o + 88, -4*o - 6 + 14 = 0. Let z be (-304)\/(-72) + 4\/(-18). Solve 4*l + f = -z*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c. Let f(x) = 5016280*x**2. Give f(b(s)).\nAnswer: 5016280*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 3*n**2 - 3*n + 2. Suppose 4*a + 2*o - 29 = 3*o, 4*o + 12 = 3*a. Suppose -r + 2*r - 3*p = a, -p = 2. Determine i(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z. Let s be j(-4). Let y = s + 8. Solve 5*g + 0*w + w - y = 0, -g = w for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7356276 and 18?\nAnswer: 7356276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -11) + (-3 - -1 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*z + 3606 + 255. What are the prime factors of z?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 3*v**3\/4 - 179630919*v**2\/4 + 359261829*v\/4 - 179630913\/4 = 0.\nAnswer: 1, 59876971","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a meter in centimeters?\nAnswer: 1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 548927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(1*(-3)\/12). What is the third derivative of -s**2 + 5*s**2 + 9*s**5 - 124*s**x + 124*s**4 wrt s?\nAnswer: 540*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j - 154 = -21*j. Let d(x) = -x + 2. Let o(a) = 47*a**2 + 7*a - 66. Let z(p) = j*d(p) + 2*o(p). What is the derivative of z(t) wrt t?\nAnswer: 188*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10 - 10481?\nAnswer: -10491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(3 + (-3 - -2)). Let j be (-104)\/13*(-1)\/w. Let f(y) = y**2 - 5*y - 1. Let m be f(5). Sort -2, m, j.\nAnswer: j, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 6*u + 1120 = 0. Suppose -6*g + 3694 = -u. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 0*g - 44. Let u(o) = o + 7. Suppose j = -3*j. What is the least common multiple of u(j) and g?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (233*r - 22 - 41 - 232*r)*(-1 - 2 + 5).\nAnswer: 2*r - 126","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -640*s + 7867. What is k(12)?\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2 - 1114*d - 18336. Determine y(-16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*u = 103*u + 35*u + 573 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)\/sqrt(4)*-6*5)**2.\nAnswer: 28800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -45*v**2. Let f(b) = 35*b**2. What is c(f(n))?\nAnswer: -55125*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4444059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 3*o**2 - 4*o. Let n be g(-4). Suppose n = -5*y + 20, -y + 3 = 5*i - 11. What is the tens digit of (-266)\/(-21) - ((-10)\/(-6) - i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4200 divided by -3?\nAnswer: -1400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/11))**(1\/4)*(j**(-1\/4))**18 assuming j is positive.\nAnswer: j**(-49\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*q**3 - 282*q**2 - 300*q + 177101591?\nAnswer: 9*q**2 - 564*q - 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-152)\/(-76)*(-20500)\/(-5). What is p rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*55.\nAnswer: 5.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -c**4\/12 - c**3\/6 - 47*c. What is f in v(f) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -287*c**3 + 140*c**3 + 145*c**3 - 158 as o + i*c**3 + x*c + z*c**2 and give o.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 590*j - 26157. Give l(45).\nAnswer: 393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**5\/20 - 13*b. Let f be i(1). Calculate the remainder when 117 is divided by (((-12)\/(-16))\/1)\/(f\/40).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3316548 to the power of 1\/3, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-23)\/4 - 2\/8. Let p(n) = -n**3 + 13*n**2 - 9. Let d be p(13). Let j = q - d. Is 3 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s - 6. Let f(j) = 16*j - 1. Let o(t) = -46*t + 4. Let x(w) = -17*f(w) - 6*o(w). Calculate 5*p(d) - 6*x(d).\nAnswer: -4*d + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7171 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5*n**0)**10 assuming n is positive.\nAnswer: n**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, c: 13}. Give prob of sequence cl.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((-11 - 5) + 23 - (7 + -14))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1086560822\/9 + (6 - 448\/72). Let k = h - 261328980. Round k to the nearest one million.\nAnswer: -141000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 4*a + 12 - 26 = 0, 14 = -2*o - 5*a for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -12\/941 (b) -0.07 (c) 0.18 (d) -4 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 101777653, -6 in increasing order.\nAnswer: -6, -3, 101777653","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5.51 times -1.6\nAnswer: 8.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10\/12 - ((-1707)\/(-126) - 12)\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*y + 3*m = 54*y - 349, -4*m + 4 = 0. Which is smaller: -202 or y?\nAnswer: -202","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 7:08 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -52*t + 179. What is the remainder when 683 is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 798444 is divided by 245.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-4) + 2191980\/(-80). Round f to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -4 + 2 + -7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + 12. Suppose 113 - w = 4*u. Suppose 4*c - u = -4*r, r + 6 = c - 1. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 7*q - 1. Let p = 6 + -14. Let z be a(p). Let n(i) = -i**2 + 2*i. Let m(c) = 4*c**2 - 7*c. Give z*n(v) + 2*m(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 77?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9530836?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 14. Suppose 0 = f + 5*u + 17, 15*u + 93 = -3*f + 14*u. Calculate the remainder when 66 is divided by (-36)\/(-8)*f\/q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 20, -3\/7, -1\/2, -10 in decreasing order.\nAnswer: 20, -3\/7, -1\/2, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.1032 to zero decimal places.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of d**5\/5 - 2*d**2 - 1. What is the second derivative of k(b) wrt b?\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*b + 5*z = -59*b + 53, z - 133 = -8*b. Solve -b*a + 33*a - 80 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.41764l to millilitres.\nAnswer: 55417.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7402, -7407, -7414, -7423, -7434, -7447?\nAnswer: -7462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccsscscsscscsscs. What is prob of sequence cc?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.8 + 5.8. Let u = 0.1 - -0.4. What is the fourth smallest value in i, u, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 1196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 55412, 55442, 55490, 55568, 55688, 55862, 56102?\n\"Answer: 2*l**3 - 3*l**2 + 25*l + 55388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 132028243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.124844229 rounded to two decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of -37*s**4\/12 + 3895*s**2. Let w(j) = 2*j**2 + 1. Determine l(w(k)).\nAnswer: -148*k**2 - 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -165\/8 or -14929?\nAnswer: -165\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 146 - 21011\nAnswer: -20865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007011 to 6 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -825, -923, -1085, -1311, -1601, -1955, -2373?\nAnswer: -2855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/2 - 21875\/(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 6)*(-28)\/(-10). Let z = -1233 - -1236. Suppose 82 - m = 3*p + 5*o, o + 62 = z*p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*a**2\/2 - 35*a - 228.\nAnswer: (a - 12)*(9*a + 38)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21003 (base 4) in base 13?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80169, 80143, 80117?\nAnswer: 80091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2582.\nAnswer: 2, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3177 times 25?\nAnswer: -79425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13091048 to the power of 1\/2, to the nearest integer?\nAnswer: 3618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5487883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 3. Let c be a(0). Calculate the lowest common multiple of -1*6\/(-9)*c and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50 + -50. Let t be (-2 - -2) + (2 - x) + 0. Factor 2*p**t - 57*p + p**2 + 42*p.\nAnswer: 3*p*(p - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.067 (b) -0.3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-2\/11))**32\/((i*i\/i**(-16))\/i*i*i*i**(2\/49)) assuming i is positive.\nAnswer: i**(3849\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - -17 - (8 - (4 - -1)). Solve 6 - t = x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n - 1. Let v be g(-2). Suppose -v = -2*c - c. Differentiate c - 1 - 2*q + 0*q + 5 with respect to q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38386 by -1129.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -58693 and 27.51?\nAnswer: -1614644.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -285 or -291?\nAnswer: -285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18.58 in 2, -1, -9, -1\/6?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6915870?\nAnswer: 2, 3, 5, 13, 23, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4519 (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -1326*w**2 - 1428*w - 204. Let r(p) = 7*p + 1. Calculate -204*r(l) - x(l).\nAnswer: 1326*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 1 + 65)*(4*d - 4*d + d)*(5 - 4 - 3).\nAnswer: -104*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 77*c**3*x**2 - 2*c**2*x**2 + 3*c*x - 15*x**2 wrt c.\nAnswer: 462*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2. Let c(g) = -g**2 + 21*g - 21*g. Let p(r) = -r**2 + 3 - 3. Let x(k) = 2*c(k) - p(k). Give x(z(y)).\nAnswer: -y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**2 - 2*z**2 + 2*z**2 + 0*z**2 - 2*z**2 + 0*z**2 - z**2 - z**2 + 3*z**2 + (-2*z + 0*z + 0*z)*(0*z - z + 3*z) - z**2 + 0 + 0.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 6. Let n = 1.3 + -6.6. Let q = n + 5. Which is the second smallest value? (a) p (b) q (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 84082 in decreasing order.\nAnswer: 84082, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b*c*n**3 + 103*b*n**3 + b*n + 8127*b + 4948343*c*n**3 - c*n**2 wrt b.\nAnswer: c*n**3 + 103*n**3 + n + 8127","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -851476.448 to the nearest 1000.\nAnswer: -851000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3157 (base 8) in base 16?\nAnswer: -66f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6*((-8)\/(-6))\/4. Suppose 5*x - 5*o + 10 = 0, 0*x - i*o + 8 = 2*x. Differentiate -5 - x + w + 5 with respect to w.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54737?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2 = 3*b, -2*b - 13 - 15 = -2*y. Solve -y*r = -5*r + 5*x - 10, 5*x = -r + 22 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 339 + (-2 + -2 - -1). Suppose 0 = j + 3*j - n. List the prime factors of j.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-112)\/(-2) + -95 + 102. Suppose g + 2*g + 3*k - 330 = 0, 5*g - 535 = -2*k. Calculate the greatest common divisor of g and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(1\/6))\/r**(-9)*(r**16*r)**(-1\/23))**47 assuming r is positive.\nAnswer: r**(61147\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d. Let i(z) = 2*z. Let b(o) = -4*i(o) - 5*q(o). Suppose 3*a + 2 = 4*a. Let g(r) = -2*r**2 - r**2 + 0*r**a. Calculate b(g(f)).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6431813389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 a factor of 9100598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 143 and 5071?\nAnswer: 65923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v**3 - 8*v**2 - 3*v + 3. Let l be s(-3). Suppose -25*y + 584 = -l*y. List the prime factors of y.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -f - 32. Suppose 0 = f*m - 4*m + 44. Does m = -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2\/2 - 69*p\/2 + 7.\nAnswer: -(p + 14)*(5*p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*a - 5*l, 4*a - 4*l - 32 = -0*l. Let q(v) = 7 + a*v - v - 6. What is q(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60349 is divided by 60340?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -i**3\/5 + 3*i**2\/5 - 3*i\/5 - 25. Factor a(k).\nAnswer: -3*(k - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q - 12. Let n be p(-6). Let c = n - 9. Solve c = d + 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 1048*u**2 + 21*u + 153. Does 90 divide w(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/1*1\/10. Let m = 3.002 + -5.002. Let r = -2 - -1.8. What is the nearest to r in m, g, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56656480 to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189\/36*((-2736)\/(-486))\/(-19).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j - 5*m - 24, 0 = 4*j - 7*j - 4*m - 21 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of 0 + 29\/3*o**3 + 1\/3*o**4 + 0*o - 60*o**2. What is the derivative of z(w) wrt w?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6599 - 6039. Calculate the remainder when h is divided by 72.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: In base 8, what is 17721733 - -3?\nAnswer: 17721736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 31, -14, -2 in ascending order.\nAnswer: -14, -2, 1, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-622)\/4)\/(7\/(-14)). Suppose -5*z = o - u, 4*o + z - 1225 = -0*z. Suppose 0 = 5*f - 3*t - 2*t - 765, o = 2*f - t. List the prime factors of f.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0629 and -0.5.\nAnswer: -0.03145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3953 - 21.\nAnswer: -3974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 5:43 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 46533841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3056280199 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*u**3 - 89*u**3 + 200*u**3.\nAnswer: 17*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-9)*d**(-2\/29)\/d)\/(d*d\/(d\/((d\/d**(2\/3))\/d*d))*d)**(-49) assuming d is positive.\nAnswer: d**(9071\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3313619 a multiple of 329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1864967?\nAnswer: 13, 41, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*x - 69*x + 714 = 0. Which is the second smallest value? (a) 0.2 (b) 3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 20*a + 1506. What is c(-80)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*p + 131 = 0, -s + 262 = s + 4*p. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f + 56. Let o(u) = u + 17. What is 2*j(g) + 14*o(g)?\nAnswer: 8*g + 350","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-91*j - 57*j + 61*j)*(4 - 3 + 2)*(3 + 9 + 5) to q*j + i and give q.\nAnswer: -4437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -681 and 49679770.\nAnswer: 49679089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 11801 (c) 10.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**2 + 9*f - 21. List the prime factors of q(7).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0*c + 264 = -4*c, 4*c = -3*b + 436. Suppose 0 = -z - 2*k - 20 + 166, -2*z + 4*k = -252. Suppose 4*x = z + b. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -10.3, 0.5, 0.01, 1081 in descending order.\nAnswer: 1081, 0.5, 0.01, -4, -10.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7810548660483 and -0.15.\nAnswer: -7810548660483.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22453130.\nAnswer: 2, 5, 7, 320759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 + 13*v**3 + 9*v**3 + (3*v + v - 3*v)*(v**2 - 5 + 5) + (4*v**2 + v**2 - 4*v**2)*(-v + v - v) - 2*v**3 + 5 - 5.\nAnswer: 19*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -198*c. Let i(f) be the first derivative of f**3\/3 - 1440. Calculate i(h(y)).\nAnswer: 39204*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 33*t - 12. Let b be a(33). Let y be (-52)\/(-7) + 1056\/84 + b. Solve -z + 21 = -y*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5556260?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1354 - 76.8236. Let a = -83.2 - -6.2. Let r = a - z. Round r to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**(-3))\/t)\/t*t*t*(t**(3\/4)*t)\/t)\/(t*t\/(t*t**(-1)))**(2\/33))**(4\/21) assuming t is positive.\nAnswer: t**(-181\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96, 187, 266, 333, 388, 431?\nAnswer: 462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fdxxoxofdddoddo. What is prob of sequence ofox?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*k - 432*k**3 + 201*k**4 + 261*k**2 - 383*k + 359*k.\nAnswer: 3*k*(k - 1)**2*(67*k - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*n - 17, -2*n + 8*p = 6*p + 12. Sort 0, n, 2, 1 in decreasing order.\nAnswer: 2, 1, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**5 + 6*h**5 - h**5 + (-3*h**5 + 4*h**5 - 2*h**5)*(-1 + 4 + 4) + (28*h**4 - 203*h + 203*h)*(-22 + 22 + 5*h).\nAnswer: 134*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1745 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4 - -0.5. Let j = -4\/13 + 2\/13. Let y(s) = s - 7. Let n be y(9). Which is the nearest to i? (a) -2 (b) j (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z**2 + 5*z**2 - z**2)*(-z + 2*z - 4*z) + z**3 - 3*z**3 + z**3 + 1848*z**3 - 751*z**3 + 2007*z**3 as f*z**3 + u*z + h*z**2 + q and give f.\nAnswer: 3097","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5672*k**3*q**3 + k**3*q**2*r - 21*k**3*q*r + 4*k**2*q**2*r + 28*k**2*r + k**2 + 3*q**3*r wrt q.\nAnswer: 34032*k**3 + 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*u + 9, 5*u - g - g - 33 = 0. Let x be (2 - 3)\/(u - 3). Is 4 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/11 or -7?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**2 + 130*y + 94. Let f be g(-42). Are f and -69 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g**2 - 3*g + 3. Let x be (-3)\/6 - (-27)\/6. Let r = 7 - x. Let s(n) = 5*n**2 - 4*n + 4. Give r*s(d) - 4*y(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145, -170, -197, -226, -257?\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.056*2.268\nAnswer: -0.127008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*y + 156, -3*g + 197*y + 124 = 192*y. What is the greatest common divisor of g and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1844 and -1844 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -850 divided by 3\nAnswer: -850\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 181a8 - 196b?\nAnswer: 16439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, q: 1}. Give prob of picking 2 l.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -18533879.1 rounded to the nearest 100000?\nAnswer: -18500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 19. What is the remainder when 98 is divided by l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21085349 divided by 6583.\nAnswer: -3203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 267, 375, 485, 597, 711, 827, 945?\n\"Answer: u**2 + 105*u + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 128 - 898\/7. Let s = 274244\/3 + -91415. Which is the closest to l? (a) -2 (b) 3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 45048 = -h - 2*g, -5*h = 4*g - 45056. What is the greatest common factor of h and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/5 - 8*u**2\/5 + 4222*u\/5 + 1692.\nAnswer: -2*(u - 45)*(u + 2)*(u + 47)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 56*j + 4 - 16*j)*((-5 - 1 - 2)*(-17 - 16 + 45) - 1 + 2 - 2) to v + r*j and give r.\nAnswer: -3880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 0)*(4 + 323\/(-76))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4\/9621 + 86597\/19242. Let j(g) be the first derivative of 5*g + 25 + x*g**2 - 1\/3*g**3. Give j(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/((-27905251)\/(-2325433) + -12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48.400000617 - 48.4. Round m to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.313 + -0.313. Which is the closest to 0.1? (a) q (b) -4 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1306403092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 26131722?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -968 = -5*x + 3167. What are the prime factors of x?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0146 rounded to three dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 19*b**5\/120 + b**4\/12 - 2*b**3\/3 + 4*b. Let f(k) be the second derivative of w(k). Is f(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 13 + 2)*(3*c - 6*c + c) + c + c + 0*c.\nAnswer: -22*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 53113944 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -0.1. Suppose 0 = l + 4 - 2. Let t be (6\/4)\/(0 - 1). What is the nearest to 1 in t, v, l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -180*f**6 - 3*f**3 - f**2 + 1260?\nAnswer: -21600*f**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -455, -898, -1333, -1760, -2179, -2590, -2993?\n\"Answer: 4*l**2 - 455*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1085 + 2390 = 283*b - 10581 for b.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9167, -37064, -83581, -148712, -232451?\n\"Answer: r**3 - 9316*r**2 + 44*r + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*z**2 + 11*z**2 + 12*z**2 - 51*z**2.\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r**2 + 69*r - 165. Let b(l) = -2*l**2 - 46*l + 110. Let z(o) = 8*b(o) + 5*v(o). Let p be z(-25). Solve -k + g = -4*g + 8, p*k - 4*g + 19 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: a3741 (base 16) to base 6\nAnswer: 22203321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -67*l**3 + 22*l**2 - 11*l + 11. Let p(g) = 34*g**3 - 12*g**2 + 6*g - 6. Determine -6*b(t) - 11*p(t).\nAnswer: 28*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 107*h**2 + 28 + h**3 - 14 - 16 to p*h**3 + a*h**2 + k*h + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10079*x - 10080*x + 6*c + 80, 0 = 4*x + 4*c + 44 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24240 divided by -1.\nAnswer: -24240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 15771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 + 0 - i)*(0 - 7 + 2)*(0 + 1 - 3) + (-2*i + 4*i - 3*i)*(2 + 1 - 2) to the form n + p*i and give n.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6195*h - 3204*h + 1431*h + 4894*h.\nAnswer: 9316*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*z + 34 = -g, 64 = 5*g - z. Let h(p) = 9 - 7 + g*p + 4*p - 4*p. What is the units digit of h(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249139337 to the power of 1\/3, to the nearest integer?\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2308380, 0.4, 3\/5, 1, -2\/15, -2\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-117)\/(-2) - 1)*((-864)\/24 + 58) and 1265?\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 160\/(-75) + 2 - 2138\/60*-46. What is the greatest common factor of o and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31849818.44 to the nearest 1000000.\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 9542059, 1, 5 in ascending order.\nAnswer: 0, 1, 5, 9542059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 8:49 AM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 + (4 - (5 + 1)). Solve a*m + 3*w - 1 = -2, -5*w = 2*m + 8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -4*z + 7*z + 37, -1 + 36 = -2*l - 5*z for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17133368419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 49?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5290*q - 23313 - 23698 = 27049 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of q**3 - 359*q**2 - 3376?\nAnswer: 3*q**2 - 718*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1 + sqrt(72) + (0 + sqrt(72))*2 + sqrt(72)))**2.\nAnswer: 192*sqrt(2) + 4612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 3*p - 6446, -8592 = -42*p + 38*p - 4*n. Which is bigger: 2145 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011126068 rounded to six decimal places?\nAnswer: -0.001113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mhyhhmhymhyy. What is prob of sequence hmhh?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 33 times -0.91\nAnswer: -30.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 65\/8?\nAnswer: 65\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -62, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -10. Let a(d) = i*d - 4*d - d + 2*d. Give a(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z. Let t(u) be the second derivative of -4*u**3\/3 - 27*u - 1. Calculate t(j(l)).\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5.369206 grams?\nAnswer: 0.005369206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 14225 and 4893797\/344 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 71837 less than 71832?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 50*s**2 + 3*s - 2. Determine t(1).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -651235 - -10?\nAnswer: -651225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(-10\/7)*z*z*z))**(-20) assuming z is positive.\nAnswer: z**(620\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 12 = 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -12*h**2. Let l(a) = -2*a**2 - 14. Give l(c(x)).\nAnswer: -288*x**4 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7b34 - -9?\nAnswer: -7b27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(4\/3)*p**(4\/3)\/p*p)\/(p**(-1\/3)*p**(2\/5)))\/(p**(1\/3)*p*p*p*(p\/(p*p**7*p*p))\/p)**(5\/8) assuming p is positive.\nAnswer: p**(203\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/2, -0.3, -20.185, -4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5247 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/3 - 1324856*i\/3 + 219405427592\/3.\nAnswer: 2*(i - 331214)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + 136. Let o = -19 - -28. What is the remainder when n is divided by -18*(-3 - o\/(-6))?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 2227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = n + 56. Let s = 20 - n. Let t(z) = 4*z**2 + 2*z + 4. What is the tens digit of t(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 19*o**2 + 11*o + 29. Suppose 106 - 362 = 16*h. Does 27 divide t(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d. Let b(z) = z + 2. Let r be b(-4). Let m be t(r). Suppose -q + 34 = 3*i, 4*i - i + 4*q - 19 = 0. Solve m = -5*s - i for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2967300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**3 + 5*n. Let m(b) = -44 + 27 + 18 - b. Give -2*m(j) - z(j).\nAnswer: -2*j**3 - 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-102 - 4) - ((41 - 22) + -30 + 22)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 6*q - 3. Let w(f) = 4 - 4 - 3 + 5 + 7*f. Let y be w(-1). Let m be s(y). Solve 0 = -m*h + h + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 2*p**2 + 0*p)*(2*p**2 - 1 + 1 + (-3*p + 6*p - 2*p)*(-3*p + 2*p + 0*p) + 0 + 0 + 5*p**2) + 0*p**4 - p**4 - 2*p**4.\nAnswer: -15*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000226838 to six decimal places.\nAnswer: -0.000227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 10*q**2 - 4*q - 7. Calculate the remainder when r(-2) is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 96383\/10 + -9649. Let f = 47717782624 + -1305176789993191\/27352. Let s = 3\/3419 + f. Find the common denominator of j and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w - 9. Let m be f(0). Let x = m - -27. Suppose -k - 2*k + x = 0. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*11\/(-66)*(-72)\/15?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 32278 (base 12) to base 4\nAnswer: 100013330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14082594 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 1. Let x(u) = -5*u**2 - 6*u - 2. Let s = 5 - 6. Let d(q) = s*x(q) + 4*v(q). Let m = 8 - 13. Determine d(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**2 - 5*h**2 + h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -w**4\/8 + w**3\/2 - 3405*w**2. Let o = 3 - -3. Calculate r(o).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7962 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence og when two letters picked without replacement from {q: 6, o: 3, g: 3, p: 1}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 14.7.\nAnswer: -44.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, e: 2}. What is prob of sequence ee?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*z + 186 = 36*z. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -911 - -1010. Does g = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 1. Let w(p) = 11*p**2 - 10*p - 4. Let t(n) = l(n) - w(n). Does 12 divide t(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**3*(b**(-15)\/b)\/b)\/(b\/(b\/b**(-13))*(b\/(b*b**(-1\/6)))\/b*b))**(-50) assuming b is positive.\nAnswer: b**(175\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**2\/3 - 13849538*m - 41548620 = 0. What is m?\nAnswer: -3, 20774310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -23*m**4\/12 + 13*m**3\/3 + 31*m - 6. Let u(t) be the first derivative of c(t). What is the second derivative of u(a) wrt a?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -214 + 298. What is the remainder when d is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.01, 259, -3\/80?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13\/12 + -55\/84. Sort -2, 6\/11, 1\/6, j.\nAnswer: -2, 1\/6, j, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 3*f - 0*f - 30, -32 = -4*a - 4*f. Find the third derivative of 9*o**2 + 3*o - 10*o**2 - 3*o - a*o**4 wrt o.\nAnswer: -72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(3\/2))\/y*y*y**(-9\/2)\/y*y**(2\/33)*(y\/y**(13\/3))\/y*y)**25 assuming y is positive.\nAnswer: y**(-2550\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2789, 22311, 75271, 178385, 348369, 601939, 955811?\nAnswer: 1426701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*z - 6. Suppose -4*w = z*n + 1 + 16, -3*n + 1 = -5*w. Suppose -203 = -2*r - 2*p - 197, 4*p - 36 = 4*r. Is r at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1113294*d*i**2 - 5411*d + 62*i**2 + 16176 wrt i?\nAnswer: 2226588*d*i + 124*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 0*h**2 - 4*h**2 - 7*h**2 - 9*h**2 + 6 - 5*h. Let v be j(2). Let l = v + 84. Solve 6*p = -t + 3*p + 11, l = -5*t + 5*p - 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-14)\/(-8))\/((-5)\/(-4) - 1). Suppose -10*p - 30 = -c*p. Let a(j) = -j**2 - 10*j - 3. What is a(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(102)\/sqrt(294) - (sqrt(1377)*-3 - sqrt(1377))).\nAnswer: 3 + 253*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -6\/175 (b) -3 (c) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -6. Let d = -2 - r. Suppose -3*m - 3*s + 57 + 96 = 0, 3*m - s - 161 = d. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239958 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: Solve 45*l - 2721 = -2676 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -7*f**3 - 2*f**3 + 11*f**2 - 11*f + 8*f**3 + f - 10. What is the tens digit of w(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i - 2*i + 2*i**2 - 3*i**2 - 7*i**2 + 1. Let a be b(-1). Let f be (a - -4) + 4 - -5. Solve 0*j + 4 = -f*j - 2*h, 0 = 3*h - 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 12*u - 17*u - 50 = 0, 0 = 4*l + 3*u - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 76, 345, -5, 4 in decreasing order.\nAnswer: 345, 76, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 (base 6) in base 2?\nAnswer: 10011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -3.999944. Round z to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of u**8\/2240 - u**7\/168 + u**6\/80 + 9*u**5\/40 + 5*u**4\/24 - 8*u**2. Let a(n) be the second derivative of m(n). Factor a(f).\nAnswer: 3*(f - 3)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241*m - 756 = -248*m. Let g = m - 104. Solve -24 = g*a - 20 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 194 - 104. Let t = l - 56. Calculate the remainder when t is divided by (39\/(-21) + 1)*-14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + sqrt(243))*1*-6 - (1*(sqrt(243) + sqrt(243) + -1 + 1*sqrt(243) - ((sqrt(243) - sqrt(243)*-2) + -3)))**2.\nAnswer: -162*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5*((-6)\/18)\/(15\/(-117))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 5:23 AM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*(sqrt(30) + sqrt(150)\/sqrt(5)))\/(sqrt(6) + 2*sqrt(6)*-4 - sqrt(150)*-1) + -1.\nAnswer: -1 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -459*u**3*x - 2*u**3 - 189*u wrt x?\nAnswer: -459*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 136396*d*m*o**3 + 3*d*m*o**2*v**2 + 28*d*m*o*v - 9*d*m*v**2 + 9*d*o**2*v - 2*d + 102*m*o**3*v**2 + 3*o*v**2 - v wrt o.\nAnswer: 818376*d*m + 612*m*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21.03 - -0.63. Let c = -34 - k. Round c to 0 decimal places.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/4*4\/10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-2) - (3 + -5). Suppose -q - 2*o = -38 - 11, 3*q + 3*o - 138 = n. What are the prime factors of q?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5896 (base 13) in base 12?\nAnswer: 7264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**3\/4 - 32*x**2 - 4453*x\/4 - 11163\/2 = 0.\nAnswer: -61, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 33\nAnswer: 3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -121 divided by -770\nAnswer: 11\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence di when two letters picked without replacement from {i: 1, d: 2, l: 7}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 77*l**2 - 60*l**2 - 2*l - 2*l**3 + 2*l wrt l.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.05, -0.493, -0.178?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 1)\/(7 - 10). Let n = 1.4 + -1. Which is the third smallest value? (a) t (b) -1\/6 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-50)\/4200*-4718 - (-2)\/(-4)*-3. What is the nearest to 1\/3 in 1, p, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 59400 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(13) + 2*sqrt(13) - sqrt(13)) + 5) + -2 + 5)**2 - (sqrt(1573)*-2 + 2 + 4 + -1)**2.\nAnswer: -5196 + 492*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 29019769*s**3\/2 + 85200792*s**2 - 22183155*s\/2 + 357075.\nAnswer: (s + 6)*(5387*s - 345)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - t. Let p(b) be the second derivative of -b**5\/5 - b**4\/12 + 2*b**3\/3 - 10*b. Calculate -5*i(r) - p(r).\nAnswer: -r**3 + r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzzznzzzzazazz. What is prob of sequence znz?\nAnswer: 91\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 67751 - -2?\nAnswer: 67753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28956551, -28956549, -28956547, -28956545, -28956543, -28956541?\nAnswer: -28956539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (878\/(-36))\/(6\/(-9)). Let h be (-306)\/(-24) - 5\/(-1). Let q = h - m. Calculate the common denominator of -83\/6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2141? (a) -5 (b) -3 (c) 0.2 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1808968274 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 374744242*p**5 + 10220361*p + 12 wrt p.\nAnswer: 7494884840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 28057605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.46 and 0.4?\nAnswer: 0.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 151 + -601\/4. Let u = -0.0436 - -374.6436. Let x = 375 - u. What is the nearest to n in -2, 2\/19, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 21\/2 - 2\/(-4). Suppose -30 = -2*b - 5*n, 0*b + 5*b - 5*n = 40. Which is greater: r or b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19722 + 57923515\/2937. Find the common denominator of s and -3\/5.\nAnswer: 14685","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000203300 (base 4) in base 7?\nAnswer: -2150640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 769703146*m**2 - 55805254*m - 4 wrt m.\nAnswer: 1539406292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 653\/(-2) + (-2)\/(-4). Let w = o - -488. Suppose r - w = -19. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 14752*y = -14753*y - 13, -t + y - 7 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.367318m to kilometers.\nAnswer: 0.004367318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4\/5 - 3*d**3\/5 - 9*d**2 + 27*d\/5 + 162\/5.\nAnswer: 3*(d - 3)**2*(d + 2)*(d + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -106, 5, 10, 1, -1, -26 in ascending order.\nAnswer: -106, -26, -1, 1, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.208628 rounded to 1 decimal place?\nAnswer: 6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 254323134?\nAnswer: -254323132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/12)\/(9\/((-243)\/(-6))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 m when two letters picked without replacement from {b: 1, k: 1, m: 2, z: 1, e: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**3 - 3*j**2 - 9*j - 7. Let y(l) = -l**3 - l**2 - 4*l - 3. Let w(u) = 3*q(u) - 7*y(u). Determine w(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*c - k - 13 = -140*c, 2*k + 2 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 7*c**2 + 4*c - 7. Let p be f(-6). Let i be 1\/((-1)\/3) + p. What is the second derivative of 0*j + 5*j**i + 3 + j - 3 wrt j?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(4\/1038) - (-54)\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1266.83559 to the nearest ten.\nAnswer: -1270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 - 3*j + 520 - 525 + 202*j + 74*j - 2*j - 2*j + 6*j + j + j - j - 2*j - j + j + j - 3*j + 0*j + (2 - 3 + 0)*(2*j + 2*j - 2*j) + j - 3*j + 0*j.\nAnswer: 268*j - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/(-9) + (3984\/(-216) - -18) - -30?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3\/3 + 5*d**2 + 15*d - 45.\nAnswer: -5*(d - 3)**2*(d + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/54270 and -71\/22.\nAnswer: 596970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 126653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 0, -4*o + 0*j + 20 = -3*j. Let c be 2*o\/((-20)\/(-8)). Solve 0 = -3*k + x + 10, 0 = -5*k - 4*x - c + 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.02, 5400.12, -62\/9?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8135 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l + 21. Let a be d(6). Let p be 1\/4 + (-1112)\/(-32). Let i be (-10)\/p - (-130)\/14. Calculate the greatest common divisor of i and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45.9 - 44. What is the biggest value in h, -0.5, 0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5392 and 4082081.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 1:57 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k + 2. Let n(y) = 8*y - 5. Let g = 12 - 8. Let x(h) = -17*h + 9. Let i(b) = g*x(b) + 9*n(b). What is -26*d(m) - 6*i(m)?\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 14*u**2 - 26*u - 21. Determine l(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -356676, -356618, -356560, -356502, -356444, -356386?\nAnswer: -356328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) -3.5 (c) 0.01421 (d) -130 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38844, -155473, -349826, -621879, -971608, -1398989, -1903998?\nAnswer: -2486611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 213 + -148. What are the prime factors of a?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-67 - -64)\/((-3)\/(-2)) + 52. Solve 102 = -u*d - 48 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247 - 427 = 45*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/b**(-9))*b*b)\/(b**19\/b)*(b\/(b\/(b*b**(-15\/4))))\/(b\/b**(-2\/45)) assuming b is positive.\nAnswer: b**(-5363\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 b when four letters picked without replacement from ooooobbooob?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 310215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -252 + 257. Solve 3 = -l*j + 4*u + 2, 4*j + 5 = -u for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/5)*a)\/(a**(-2\/5)\/a))**(-43)*(((a*(a\/((a\/a**(1\/8))\/a))\/a*a)\/a)\/a**3)**44 assuming a is positive.\nAnswer: a**(-2029\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.83 + 1143914121.\nAnswer: 1143914121.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -y - 0*y - 23, 4*k - 4*y = 32. Let a be -2 - (k + 2 + -3). Is 259\/3 - 4\/a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52 - 45. Suppose -b + 1496 = g*b. Calculate the highest common divisor of b and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -369032241 by -1167.\nAnswer: 316223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 19*o**2 - o - 13. Let r(f) = 2*f. Let c(x) = -2*k(x) + 6*r(x). Let j(w) = -2*w**2. Give c(j(t)).\nAnswer: 128*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -997*z**4 - 1451 wrt z?\nAnswer: -3988*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1002 - 2221110?\nAnswer: -2222112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44588555 - -44589035.99082. Let s = 481 - i. What is s rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-37632\nAnswer: -75264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*g + 38*g + 26*g**4 - 19*g + (-2 - 3 + 3)*(-25*g**4 + 354*g - 354*g) as p*g**3 + l*g**2 + t*g + z + q*g**4 and give q.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1c567b (base 15) to base 12\nAnswer: -569768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 11 = -3*q + 2, z + 3 = 0. Let i(k) = 3*k**3 - k**2 - 3*k + 2. Calculate i(q).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*d**2 + 8*d**2 - 15*d**2 as r*d + q*d**2 + f and give q.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5290.792 grams in micrograms?\nAnswer: 5290792000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-10)\/4)*(-89)\/(30527\/147)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n + 1. Let g(m) = m**2 - 3*m - 10. Let h(j) = -2*j + 9. Let p be h(5). Let r(s) = p*g(s) + 4*c(s). What is the units digit of r(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 19, -13, 2 in ascending order.\nAnswer: -13, 2, 14, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-51 + 51)*(-2)\/4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19383 = 23*w + 14910. Round w to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -59167289 to the nearest ten thousand.\nAnswer: -59170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 + 3)*(-p + 3*p + 0*p)*(-1 + 4 + 1) as w + h*p and give h.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1507 - 1436. What is the remainder when 422 is divided by n?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 442 = g + 3*g - 2*u, -2*g + 4*u = -236. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70931970?\nAnswer: 2, 3, 5, 29, 9059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 11 - 1. Suppose 0 = 3*x - i - 4, -18*x = -15*x + 4*i + 1. Which is the biggest value? (a) r (b) 4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45*d - 47*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 11*g**2 - 21*g - 2. Let x be a(-9). Let z be (-2)\/(-8)*(-140)\/(x\/(-5)). Find the second derivative of -24*s - 9*s + z*s - 6*s**3 wrt s.\nAnswer: -36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1542, 6039, 13526, 23997, 37446, 53867?\nAnswer: 73254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - 66*w - 630 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -183 - -187. Solve 10 = -5*p - 3*m, 0 = 4*p + d*m + 4 + 12 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -751\/4 - -185. Let g = u - -25\/12. What is the second biggest value in -0.2, g, 1\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11684240 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 44329417 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddjddqrrjuqu. What is prob of sequence jqrj?\nAnswer: 1\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19\/7 + 3. Let d = 1.4 - 0.6. Let z = -0.2 - d. Which is the nearest to i? (a) 2\/13 (b) z (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283*a - 285*a = -6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 7*h + 8. Let k be a(6). Suppose 0*d - 8 = -k*d. Solve -25 = d*p + p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 3, -0.5, -0.33.\nAnswer: -0.5, -0.33, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1*(-1)\/(-3))\/(2\/6). Let q be (v - 2 - -3) + 1*5. Let h(f) = 2*f**2 - 7*f + 11. Is h(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82 * -16423866\nAnswer: -1346757012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8217630229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 1\/3*s**2 + s - 2 - 1\/45*s**6 + 0*s**4 + 1\/15*s**5 - 2\/9*s**3. Let j(b) be the first derivative of i(b). Factor j(c).\nAnswer: -2*(c - 1)**3*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.17 - 0.17. Let x = f + -7.00005. Round x to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.980697mg to grams.\nAnswer: 0.000980697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 688798 and -0.1.\nAnswer: -68879.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 326 at least 324?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -91*o**2 - 3185*o + 5. Determine z(-35).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Which is the nearest to 1\/4? (a) 1\/9 (b) 0.2 (c) -10 (d) -0.01 (e) -0.658\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1683 is divided by 46?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 7*p = 450. Let d = 57 - p. Solve 0 = 2*x - d*j + 3*j + 10, 25 = 3*x + 4*j for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67496656.\nAnswer: 2, 4218541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42.08 - -42.06051. Round x to three decimal places.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2075 and 6425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 3. What is the greatest common factor of 10 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 64955392 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y + 49. Suppose 28 - 114 = -3*f - 2*h, -2*f - 2*h + 56 = 0. Suppose 28 = -f*k + 26*k. What is the units digit of z(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34392 >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -66496*o**3*q*w - 2856*o**3*w**3 + 2*o**2*q + 92*o**2*w**2 - 20*o**2 + 11*o*q - o*w - 2*w**3 + 18*w**2 wrt o.\nAnswer: -398976*q*w - 17136*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40722653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 9*z**2 - 2*z - 8. Let f be i(-7). Let x = -45 - f. List the prime factors of x.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40019*i**4*r + 5*i**3*r**3 - 2*i**2*r**3 + 22*i**2*r + 2*i**2 + 173*i*r**3 + 4*r**3 + 4*r**2 wrt i.\nAnswer: -960456*i*r + 30*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -239 - -116. Let t = -91 - k. What is the remainder when 157 is divided by t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.022 - 10.878. Let t = q - -10.90000207. What is t rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20162 (base 10) to base 7\nAnswer: -112532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9443471.25 rounded to the nearest 100000?\nAnswer: 9400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 834647.\nAnswer: 11, 23, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -k**3\/9 - k**2\/6 + 5. Factor s(c).\nAnswer: -c*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 5*i + 141 + 205, -4*i - 283 = 3*g. What are the prime factors of (-2068)\/(-7) + (-15)\/i*-2?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14334?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-28)\/15 + (-12)\/90)\/2. Let u be 1\/(-1) + (-1522)\/(z + -1). Suppose -5*g + 9*g = u. Calculate the highest common divisor of g and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3773484 to the power of 1\/4, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1701 and 273.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-306 + 542 - 423)*(4 - 2 - 1)*(9 - 6 + 4)*(-2*c - 2*c - 2*c) in the form a + o*c and give o.\nAnswer: 7854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 458 - 285. Suppose -5*x = -d - 92, x = d - 2*x + 86. Let t = y + d. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.947 + -1.5\nAnswer: -4.447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + -9 - (25 + -31 + 25)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 902103836?\nAnswer: 2, 887, 254257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1, 0.05, -0.2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4139671322?\nAnswer: 2, 19, 108938719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 659742 and 186?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-129 - -115) + (-2 - -16).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -18. Which is bigger: 5\/17 or z?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 10974278?\nAnswer: -11\/10974278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (3 - 2) + -52 + 48.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 15 = 4*a. Let t = a - -1. What is the second biggest value in 0.2, t, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25858?\nAnswer: 2, 7, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (300 - 342) + (-63 - (16 - 31)).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 138?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-6)*(((-11542)\/36)\/29 + 11)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + 20. Let b = 27.00000047 - c. Round b to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 r when two letters picked without replacement from lqrpy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 147 in 8, 2.7, -5, -2\/9, 0.4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.109154, 1 in ascending order.\nAnswer: -1, -0.109154, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15362, -1, 4, 269 in descending order.\nAnswer: 15362, 269, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1.2342 * -0.0961\nAnswer: 0.11860662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1313)\/(-16536) - 58\/1537.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 1:43 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 753248 is divided by 127?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 3:24 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*r - 13*r + 9*r)*(6 + 4*r - 5 - 2*r).\nAnswer: -32*r**2 - 16*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2768898)\/(-77) + -1*4\/(-14). Suppose k = 54*l - 25*l. What are the prime factors of l?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/(sqrt(756)\/sqrt(7)))\/(sqrt(726) + (sqrt(726) - (sqrt(726)*-1 + sqrt(726) + sqrt(726) + sqrt(726) + sqrt(726))*6)).\nAnswer: -sqrt(3)\/1056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5 + 0 + sqrt(1331) - -1*sqrt(1331)*3).\nAnswer: 4 + 44*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2544 is divided by 300?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*v = 16*v - 30. What is the nearest to 5\/7 in v, -4\/5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4 - 13 = -q, 0 = 5*q - p - 94. Let r = -37\/2 + q. Which is smaller: 2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 8*t - 3. Let x(m) = -m**2 + m - 1. Let f(n) = -b(n) - 2*x(n). Let c be f(9). Let i = 0.3 + -0.2. What is the closest to i in 1, c, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of 3*i - 19 - 35\/2*i**3 + 5\/12*i**4 + 50*i**2. Let m(y) = 0. Calculate y.\nAnswer: 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/9*(3 - -3). Let c = -1.3 - -0.9. Suppose -3*l + 8 = f + 2, 4*f = -4*l. What is the nearest to l in c, q, -3\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**5\/15 - 1108*n**4\/15 - 33178*n**3\/3 - 224720*n**2 = 0. Calculate n.\nAnswer: -265, -24, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -d**6\/40 + 9*d**5\/80 - 3*d**4\/16 + d**3\/8 - 14*d. Find b, given that z(b) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 1. Calculate the least common multiple of (-4)\/z + 3\/2 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d - 9*d**2 - 8*d - d**3 + 3 - 7 - 4. Suppose -3*x + 3*g - 24 = 0, 0 = 4*x - 2*x - 3*g + 16. Let c be w(x). Solve -2*p - v + c = 3, -5*p = v for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8799 divided by 122\nAnswer: -8799\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7305\/(-6)*(-34152)\/(-5). Let n = -5016012 - z. What is n rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/33 and -61\/9642.\nAnswer: 106062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 - -1312000?\nAnswer: 1312020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.01 + -2.01. Let j = 5\/76 - -87\/988. What is the nearest to -0.1 in j, 0.4, v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/10 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3311 - 2185. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4614.8 and 0.9.\nAnswer: -4153.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(343)*2 + -2 + 5).\nAnswer: -56*sqrt(7) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 177 - 155. What is the third derivative of 46*h**2 + m*h**2 + 2*h**3 - 98*h**2 - 10*h**3 wrt h?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 574559 and 122.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-2\/15))\/g**(-22)*g**(-7\/4)\/g**(-25) assuming g is positive.\nAnswer: g**(2767\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2718\/(-755))\/(3\/(-5)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 95601948 and 11609.\nAnswer: 1816437012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 950327?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*k - 9 = 41*k + 39*k - 3*a, 69 = 15*k + 3*a for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9240\/272 + 2 - 138\/(-4692).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (-3)\/((-3)\/14). Let z = 23 - -3. Let a = g + z. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-102)\/52 + (-36)\/(-78). Suppose -l = -5*t + 7, -2*t + l - 6 = 5*l. Let x = 1 - t. Which is the second smallest value? (a) -3 (b) j (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 253467.5 - 253468. Let o = -3 + 2.8. Put q, -24, o in ascending order.\nAnswer: -24, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -237\/4 - -60. Sort g, -5, -2.\nAnswer: -5, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**4 - 5*h**4 + 2*h**4 + (-4 + 1 + 1)*(h**4 - h**4 + 2*h**4) + 3*h**4 - 6*h**4 + 2*h**4 to the form k*h + o + c*h**2 + b*h**4 + r*h**3 and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 139ab (base 13) to base 5\nAnswer: 2134224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8.354843 tonnes?\nAnswer: 8354843000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of x**4\/4 + 2*x**3 - 5*x**2 - 17*x + 28. Let o be q(-7). Suppose 15 = 5*m, 2*l + 11 = -o*m + 41. Solve -4*p + l = -11 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 149628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3133 and 11327?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5863 is divided by 2735.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*r + 309657 = -4*n + 954897, 0 = 5*r + 2*n - 94884. List the prime factors of r.\nAnswer: 2, 3, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(33)\/(sqrt(9)\/sqrt(3)) - (sqrt(66)*2 + sqrt(66))\/sqrt(6)).\nAnswer: -2*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.09 (b) -9\/11 (c) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 9:57 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 0)\/(2 + (2 - 3)). Sort x, -2, -14 in decreasing order.\nAnswer: x, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3820727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1683*v**4 - 14704*v**3 - 60715679*v**2?\nAnswer: -40392*v - 88224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -35 - (-21 - 9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 a, and 1 z when four letters picked without replacement from pawaaaazapzzw.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 2 + 11313232\/1662. Let f = 6811 - l. Let p = f - -645\/1108. Calculate the common denominator of p and -55\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 48 = -5*q - 5, 0 = -2*o + 4*q + 70. Calculate the remainder when 106 is divided by o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fc when two letters picked without replacement from {f: 1, c: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -40 and 10?\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 195935817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 7*n + 4. Let i(c) = 29*c + 17. Give -11*d(r) + 3*i(r).\nAnswer: 10*r + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1182 - 1183 + 15*s**4 + 2358 + (-2*s + 3*s + s)*(-2*s**3 + 12*s**3 - 5*s**3) to b + g*s + n*s**4 + u*s**2 + r*s**3 and give n.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76220404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -5523?\nAnswer: 5523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11\/12 - 7\/60. Let j = -6.3 - -6. What is the second smallest value in h, -1, j, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4697, -9415, -14159, -18941, -23773, -28667, -33635?\nAnswer: -38689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1738630751?\nAnswer: 11, 13, 12158257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63 and 1729.\nAnswer: 15561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 10, h: 10}. What is prob of sequence hhha?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 10:20 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15214.\nAnswer: 2, 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sl when two letters picked without replacement from luuuslll?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((3 - -2) + -2)*(-2)\/(-6). Which is smaller: 3\/103 or q?\nAnswer: 3\/103","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + 29. Let k be 8\/(-36) - (7\/9 - p). What is the units digit of (1\/2)\/((-2)\/((-584)\/k))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109 + -148 - (0 + -20).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11120 and 37965904.\nAnswer: 2224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = -d + 14. Suppose -5*j + 3*j = -2*q - 1970, -d*q = 0. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5842.\nAnswer: 2, 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 348 and 1696269972.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3365.538ml in litres?\nAnswer: 3.365538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/((-48)\/20))\/((-4)\/16). Suppose -3*x = 2*t - 6, s*t - 32 = t + 4*x. What is the highest common factor of t and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-459 - 9 - 1024)*(-5*w**3 + 0*w**3 + 3*w**3) as z*w + t + d*w**3 + m*w**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -3*g - 5*n, -45 = 5*g - 4*n + 5*n. Let x be -2*(-514)\/g*(-100)\/10. Suppose -t + x = -65. What is t rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3*s + 944, 6*q + 1145 = q - 5*s. Let v = -107 - q. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -694400, -2777601, -6249600, -11110397, -17359992, -24998385, -34025576?\n\"Answer: -694399*k**2 - 4*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -81158411440 to the nearest 1000000.\nAnswer: -81158000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 304 divided by 5\nAnswer: 304\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 714555157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 658608 and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 less than 0.278894?\nAnswer: -33.721106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 574174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) - (sqrt(2057) + sqrt(2057) + 2)**2*5)*-4 + (3*(sqrt(2057) + 3*-2*sqrt(2057)))**2)*4.\nAnswer: 6864*sqrt(17) + 2509860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 74, 206, 338, 470, 602?\n\"Answer: 132*z - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1575 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001221145 rounded to six decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cddcdcdacacdcducduac. Give prob of sequence dcd.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1*12)\/((-9)\/(-6)). Suppose 2*m - 4*m + x = 0. Is 88\/3 - m\/12 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -758*b**4 - 3794*b**3 - 6084*b**2 - 3064*b - 16 = 0. Calculate b.\nAnswer: -2, -1, -2\/379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o + 8*o + 1710*o**2.\nAnswer: 1710*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-30) + (-17380)\/(-150). Let a = -121 + m. Let q(i) = 2*i**2 + 5*i + 8. Let z be q(a). What is the greatest common factor of z and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0075822 to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*((sqrt(252)*2 + sqrt(252) + sqrt(252))*-2 + sqrt(252)))\/(sqrt(81) + sqrt(81)*-2*-6) + -1)**2.\nAnswer: -140*sqrt(7)\/39 + 35821\/1521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-208)\/39*(-13)\/(39\/3)*57\/(-4)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 188 + -184 + 2 + -1 + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 greater than -4\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 391 and 46.\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b. Let r(i) = 3*i**2 + 2*i + 4. Let o(d) = r(d) - 2*v(d). Let m be o(-2). Suppose -m*f + 83 = -69. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 651 = -3733. Suppose 4*u - 4*w - a = 0, -2*u - 5*w + 96 = -438. Suppose -r - u = -5*r. List the prime factors of r.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 2:37 AM?\nAnswer: 555","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 3 + 3. Let i be (w + (-5)\/2)*-10. Solve -3*q = -i*k + 25, 4*q - q = -4*k + 20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124453.9 rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 19686388?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 c, and 1 u when three letters picked without replacement from {o: 1, i: 1, c: 2, u: 2, f: 2, r: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence flq when three letters picked without replacement from qbflqfwfwqbq?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.26 - 0.3. Let o = -3 + 2.94. Let w = j + o. Which is the nearest to w? (a) 4 (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*u + 5 - 49. Suppose -4*f + 5 + 7 = 0. Solve 5 = -u*b - f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*b - 0. Sort 0, 3, b in decreasing order.\nAnswer: 3, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 388891\/32 - 12151. Calculate the common denominator of ((-1989)\/1040)\/((-3)\/(-2)) and i.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.59 - -1011.59. Let w = -996 + s. Let q = 103\/2 + -50. Is w smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 33 - 1347894?\nAnswer: -1347861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1227, 7907, -14 in ascending order.\nAnswer: -14, 1227, 7907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4761?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (2 + 6) - (9 + (12 - 27))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + (-1 + 2 - -6)\/1. Solve -2*f - b - 5 = 0, -b - 8 = x*f - 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d**5\/5 + 5*d**4\/3 - 14*d**3\/3 + 6*d**2 - 4*d. Find x, given that u(x) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*w + 6 = -3*i, 0 = -w. Let u be i\/(-7) + 46\/(-112). Let m = -139\/3 - -46. Which is the nearest to 0? (a) 0.1 (b) u (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dad when three letters picked without replacement from {a: 5, d: 7}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*9\/(-81))\/(36\/81)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/15*(-3)\/((-18)\/4).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 745 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b, l - 4*b - 4 = -13. Let f(n) = -n - 2. Determine f(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a + 6. Let r be t(-10). What is the greatest common factor of r and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**2. Let v(c) = 1276*c**2 - 44*c - 176. Let x(i) = -2*i**2 - i - 4. Let b(a) = v(a) - 44*x(a). What is n(b(g))?\nAnswer: -3720992*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -275 - -274.275. Let s = 0.723642 + k. Round s to 4 decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-2*(sqrt(120) - (sqrt(120)*-2 + sqrt(120)) - sqrt(120)))\/(sqrt(810)*3 + sqrt(10)))**2.\nAnswer: -9\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0128214 rounded to 4 dps?\nAnswer: 0.0128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 11 = -1. Suppose -n*h + 14 = -1. Suppose 3*a - b + 11 = 57, -4*b = h*a - 71. What are the prime factors of a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2845723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1778?\nAnswer: 2, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -530.97 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*q - 1242 = -47*q + 483*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n - 1. Let k be b(2). Let x be -1 - 1*(2 + -5). Is x at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 11) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/320 and -1\/17280.\nAnswer: 17280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7975, -15320, -22025, -28084, -33491, -38240, -42325, -45740?\nAnswer: -48479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 4*y + 376, -4*y + 0*p - 361 = p. Let k be 0\/(-1) - y\/(-7). Let m = 28 + k. Solve 3 = -2*o + 5*h + 12, -2*o - m = 3*h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10702*d**2 + 5*d**3 + 391 - 10629*d**2 - d - 4*d**3 + 20940*d**2.\nAnswer: (d - 391)*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -58\/187767 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -40725 divided by 543\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (0 + 5) - (-8 - (-6 + -7)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -p**6\/120 + p**5\/10 - p**4\/12 + 11*p**3\/6 - 260*p**2. What is q(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-30) + (-53)\/(-3). Suppose -27 = -3*i + 5*n, 2*i - n + k = 4*i. Calculate the lowest common multiple of i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 334?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32626.7mm to nanometers.\nAnswer: 32626700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, -0.21, 0.06?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.27479878307 rounded to two decimal places?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/938147324?\nAnswer: -1\/938147324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*d**2*q*t**2 - 38*d**2*t**2 - 2*d**2*t - 2*d*q*t - 3*d + 22*q*t**3 - 70*q*t + 2*t wrt t.\nAnswer: 26*d**2*q - 76*d**2 + 132*q*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1113 divide 3784932354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7082 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1465 (b) 2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 + (-16107)\/1235)\/(174\/30 + -7)?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1413362\/5 - -139888943\/495. Let a = -774\/11 - u. Find the common denominator of a and 79\/(-12) - 2\/3.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9131 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44747 is divided by 91.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 57 = 97. Let w be 0*((-20)\/f - 3). Let u be 1*-2*2\/26. Which is the second smallest value? (a) w (b) 3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 138695338?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11899 is divided by 140?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 10:01 PM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(6\/11)\/k*k)**(-42))**(1\/19) assuming k is positive.\nAnswer: k**(-714\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - ((-8 - -31 - 3) + (-8 - -2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.073133 times 949?\nAnswer: -69.403217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5 + 15. Suppose d + 3*b - 11 - 24 = 0, -d + 2*b = -50. What is the smallest common multiple of 2*3 - (-11)\/d*-16 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**4\/12 + i**3 - 5*i**2. What is the remainder when 10 is divided by m(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1\/3, 0.11, 328, 3, -107, -17?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + sqrt(14)\/(sqrt(320)\/sqrt(10)) - (sqrt(70) - sqrt(70)*1*2)\/((sqrt(30) + sqrt(480))\/sqrt(3) + sqrt(10))).\nAnswer: -2 - 5*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -47*h**2 - 298*h + 20. Calculate c(-6).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 696759302.\nAnswer: 2, 47, 79, 93827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q - 4. Let j(m) = -6*m - 23. Let b = 104 + -98. What is b*j(l) - 34*f(l)?\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2\/3)\/2*39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 407 times 3?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**3 - 35*x**3 + x**3.\nAnswer: -33*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 23558 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: Let i(p) = -p**2. Let t(h) = 1502*h + 1512*h - 4561*h**2 - 3014*h. What is t(i(n))?\nAnswer: -4561*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-26)\/8)\/(11\/(-44)). Let l = c + -14. Which is smaller: l or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 12 + 163*k**2 - 3.\nAnswer: 163*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((21\/56)\/1)\/((-21)\/28).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*5*(-2)\/4)\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 65 times -3\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -17.161?\nAnswer: -51.483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 7144000 to the nearest one hundred thousand.\nAnswer: 7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 + -6*(-6)\/18. Suppose t - 7 = 2*o, 5*o + t = -4*t + 20. Put o, 1, 4, l in ascending order.\nAnswer: l, o, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 6*n**2 - 26*n - 4. Let i be a(9). Suppose -i*g - 11 - 9 = -2*q, 4*g - 23 = -q. Suppose q*o - 21791 = 4*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 633 - 629. What is the highest common divisor of 4 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47856 is divided by 9469.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 - 50 + 36)*(5*k**2 + 9*k**2 - 4 - 11*k**2).\nAnswer: 36*k**2 - 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13863580 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) -68 (c) -164\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 + -40. Let t be (273\/(-6))\/(0 - 1). Let d = t - 46. Which is greater: c or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 168, 1\/13, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 200\/(-280)*1*(-1)\/5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8533.\nAnswer: 7, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b**3 + 2*b**3 - b**3 + b**3.\nAnswer: 11*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-3\/4)\/h)**(1\/52))**(-3\/22)*((h*h**8)\/h)\/(h*(h\/(h\/((h*h*h**(-2\/5))\/h*h)*h))\/h)*(h**(1\/3))**10 assuming h is positive.\nAnswer: h**(737051\/68640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146712?\nAnswer: 2, 3, 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 2. Suppose -4*b - 16 = c, -7*b + 2*b = -3*o + 2. Let a(j) = -j - 6. Calculate a(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13215257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.04 + -0.14. What is the third smallest value in -2\/9, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v**2 + 2*v**2 - 4*v**2.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 22*v**2. Let h(b) = -62*b**2. What is s(h(t))?\nAnswer: 84568*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z, 2*r - 4*z + 3*z - 20 = 0. Suppose -m = -3*m - r. Let t(x) = x**2 + 8*x + 7. What is t(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hgxggdxydyyy. Give prob of sequence xyy.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/2)\/((70\/(-28))\/(-5))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t - 2 + 7 - 5 to the form v*t + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 - 7*x + 3. Determine v(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -59?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 - 21.8. Let r = g - 2.8. Let w = 18.5 + -18.3. Which is the closest to w? (a) 7\/6 (b) 0.5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 94\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5891?\nAnswer: 43, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 2106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238*b = -235*b - 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 14 + 42 = 0. Which is smaller: k or 15?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4084\/685 and -5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*r + k, -4*r + 19 = 4*k - 9. Solve 0 = 3*o - 4*o - 5*y - 11, 2*y = -r for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90\/100*15\/(-9)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*z**2 - 93*z + 36 = 0. Calculate z.\nAnswer: 4\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 - 17*t + 12. Let n(u) = -11*u**3 - u**2 - u. Let h be n(-1). List the prime factors of r(h).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2198\/7065*(-18)\/(-21). Let l(m) be the second derivative of -1\/14*m**7 - 4*m + 5 + 0*m**4 + 3\/20*m**5 + w*m**6 + 0*m**3 + 0*m**2. Factor l(o).\nAnswer: -o**3*(o - 3)*(3*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 w when four letters picked without replacement from {p: 1, w: 6, m: 7}.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1330 and 418?\nAnswer: 14630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2217 is divided by 185?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3*((sqrt(208) - sqrt(13)) + 5 + -2) + ((sqrt(104) + sqrt(104)*2)\/sqrt(8) + 5 + sqrt(13)*-2)**2).\nAnswer: 282 + 114*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33810 and 2704800?\nAnswer: 2704800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 6*w**2 + w - 7. Calculate v(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 8:09 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 12:21 AM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 u when two letters picked without replacement from mmuqaank?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1137, -2278, -3417, -4554, -5689?\nAnswer: -6822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -23. Let l = d + 2. Let y = l - -15.07. Do y and -2\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*j + 10 = 0, 0*i = i + 4*j + 14. Suppose -y + 0 = -i. Determine u, given that -y*u**2 - 5*u + 0*u**2 + 3*u = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88037302 is divided by 92?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 a factor of 346932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 130\/(-8)*2*(3 - 5). Let l = -58 + d. Calculate the lowest common multiple of l and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3125184, -3125185, -3125186, -3125187, -3125188?\n\"Answer: -w - 3125183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 192 - 632. Let q be (-199666)\/k - 5\/(-20). Let c = q + -454. Is c less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2*o = 20, -4*o = 5*z + o - 25. Suppose -4*m + 2*w = -4, -z*m + 0*m = -5*w + 5. What is the greatest common divisor of m and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + 5*sqrt(10)\/sqrt(2) - sqrt(5)) + 3.\nAnswer: 3 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1287729 and 2587.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 73 + -52. Let w = a - -11. What is the units digit of ((-4)\/8)\/((-2)\/w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gccc when four letters picked without replacement from gggcgcgggggggggcggcc.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/2153968832?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.801421g to tonnes.\nAnswer: 0.000004801421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 572188362 to the nearest integer?\nAnswer: 23920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97634.07nm to kilometers.\nAnswer: 0.00000009763407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7.8469791 times 0.1\nAnswer: 0.78469791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 86267712 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: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*j + 77 + 86 + 299 = 0 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 2000021212?\nAnswer: -2000021222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83924.\nAnswer: 2, 20981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -5*u**3 - 4*u**2 - 3*u. Let k be n(-2). Suppose 0 = k*b - 35*b + 425. Is 17 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -171, -1, 0 in ascending order.\nAnswer: -171, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 23\/8 of a micrometer?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1266 divided by -6\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4 - 744*o**3 + 136879*o**2 + 563244*o - 699380.\nAnswer: (o - 374)**2*(o - 1)*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*b - 55 = -825 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1\/8)*y\/(y*(((y**26\/y)\/y)\/y)\/y*y))\/((y\/(((y*y\/(y\/y**(-23)))\/y)\/y))\/y*y**(-4\/29)) assuming y is positive.\nAnswer: y**(-10669\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*a = 22*a + 7. Let s be 0\/(-2) - (0 - 22). Suppose v + 10 = 3*d, -v + 0*d + s = 5*d. What is the remainder when v is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.0067 and -0.25.\nAnswer: -1.2567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 575568 is divided by 261.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*d + 141484 = 45778. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = s - 274, -7*y = -2*y - 2*s - 453. Let r = 93 - y. Suppose r*g - 198 = -w - g, 3*w - 570 = 3*g. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452 is divided by 147.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36006498?\nAnswer: 2, 3, 11, 60617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27096201.\nAnswer: 3, 11, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 2*s + 3. Let m be t(-1). Suppose -27 + 11 = -5*x + n, 2*x - 4 = n. Let l(f) = -3 - x + f - 2. What is l(m)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -91 + 118. What is the remainder when y is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a week in minutes?\nAnswer: 27720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*(n**42*n)\/n)\/n*n**(-1\/5)\/n)**(-1\/73))**10 assuming n is positive.\nAnswer: n**(-408\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34714 - 6*m**2 - 71482 + 36768 + 5*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/1281 and 63\/13399382.\nAnswer: 281387022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**4 - 2*k**3 - 12*k**2 = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -48, -61, -78, -99?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 5*y**2 + y - 5. Let l be o(5). Which is greater: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*o = -169*o + j - 3, -o + 3*j + 5 = 0. What is the remainder when 62 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 less than -320547?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 165187 minus 2?\nAnswer: 165185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 16 = -2*g + x, 0 = 2*x - 2. Let k(d) = -d**3 + d**2 - 6*d + 4. Let m be k(g). Suppose -2*h + m + 154 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - v + 2. Let z(o) = -76*o**2 + o + 21. Let x(f) = 6*u(f) - z(f). Is x(-2) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5477, -10736, -15957, -21128, -26237, -31272, -36221?\n\"Answer: 2*f**3 + 7*f**2 - 5294*f - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2 = -3*w. Suppose -52 = -w*v + 3*d, -v = -5*d - 28 + 2. Calculate the common denominator of 1\/8 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -141 - -285. Let f = -126 + m. Let b = f + 24. Are b and 0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**3 + d**3 + 4*d**3 + (3*d**3 - 1 + 1)*(2 - 1 + 1) + d**3 + 43*d - 18*d - 22*d.\nAnswer: 9*d**3 + 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 511 - 505. Solve 22 - l = 4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-175)\/(-975)*(-338)\/(-455)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -32606 divided by -137?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 618 divided by 5\nAnswer: 618\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.568537 to 3 dps.\nAnswer: -0.569","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21300020303 (base 4) in base 2?\nAnswer: 1001110000001000110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -4, 9, 0 in ascending order.\nAnswer: -6, -4, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109601629 is divided by 224?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/2281, 2, 3\/16?\nAnswer: -2\/2281","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -34\/3, -7\/3, -7 in ascending order.\nAnswer: -34\/3, -7, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.04 (b) 5 (c) -4 (d) -2 (e) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -10215*f - 51486. Give j(-5).\nAnswer: -411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -71 - -71.4. What is the fourth biggest value in -0.4, w, 5\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 2*t - 2*p - 90, -3*t + 4*p = -130. What is the greatest common factor of t and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b**2 - 2*b**2 + 8*b**2)*(3 - 5 + 1)*(263*b - 337*b - 577*b) to k*b**3 + l*b + v*b**2 + c and give k.\nAnswer: 3906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1481 - -0.04.\nAnswer: 1481.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*d**3*m - 537*d*m + 4419*m wrt d.\nAnswer: -9*d**2*m - 537*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 10 = 2*s, 3*s = -b - b + 11. Let p be 1*-2*(3 - b). Suppose -p*m = 5*m - 504. Does 36 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 + -34.3. Let f = i + -1.8. What is the closest to f in -6, 1\/4, 0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -1. What is the second derivative of i + i**b - 6*i**5 - i**2 - 3*i wrt i?\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i + 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 448, 4, 2\/7, 2, -87\/4 in descending order.\nAnswer: 448, 4, 2, 2\/7, -87\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -196 times -0.3\nAnswer: 58.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2918 - 2916. Calculate the remainder when 45 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15636?\nAnswer: 2, 3, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**2 - 9945190422*q + 11*q**2 + 9945190422*q.\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r*(r*r*r**(-16))\/r)*r*r)\/r**18)**(4\/7) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j + 13. Let z be f(-9). Suppose 4 = 2*y - h + 22, -32 = 3*y - z*h. Let p be ((-12)\/y)\/(3\/8). Solve -p*w + 21 = 5*r, -16 = -4*w - 0*w for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x + 2*k + 3 = -7, -5*x - 4*k + 3554180 = 3554174 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + (1 - 3) + 29. Suppose -5*y + 3*r = -j, 4*r = y + 3*y - 24. Suppose d = y*d + 20. What is the third smallest value in d, 2, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 5*z**5 + 1775*z**4 + 61205*z**3 - 17157335*z**2 + 448848790*z - 431754440 = 0?\nAnswer: -221, 1, 34, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10055901.\nAnswer: 3, 59, 56813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 58509397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 7*u**2 + 13*u - 10. Suppose 2*x - 3*j - 7 = 0, -2*x - x + j + 21 = 0. Let a be m(x). What is the greatest common factor of 6 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 465872.7 nanometers?\nAnswer: 0.0004658727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m**5 + 5*m**5 + 4*m**5 - m**5 + 0*m**4 + 0*m**4 + (0*m**2 + 0*m**2 - 2*m**4)*(m - m + m) - m**3 - 2*m**5 + m**3.\nAnswer: -m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 1 - 1 = -2*j, i - 22 = -4*j. Suppose 0*t + i*t = -156. Is 6 + 380\/(-65) + (-126)\/t a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (336\/17920*200)\/(5\/(-12))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in nine sixteenths of a kilometer?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - n. Let w be (-3)\/(-3) - (-30 - 1). Let g = w + -29. Let v(m) = m. Let u(r) = g*j(r) + 4*v(r). Find the second derivative of u(f) wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/7 + 6*z.\nAnswer: 3*z*(z + 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {q: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 966388?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -157\/200 + -3\/200. What is the second smallest value in 1\/3, u, -0.01, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5376 and 311664864?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 5:38 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 b, 1 g, and 1 p when four letters picked without replacement from {t: 1, u: 6, q: 4, p: 4, b: 1, g: 3}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kietkzkttezik. What is prob of sequence eekz?\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x + 4. Let d be s(11). Let a = d - -69. What are the prime factors of a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 428340 and 2904.\nAnswer: 856680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9762 + 12a1?\nAnswer: -8491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 0 - 0 - (12 + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19384*q - 2*q**2 - 19375*q + 60447*q - 21688*q.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4617 + -16.67?\nAnswer: -17.1317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, b: 1, o: 1, c: 1}. Give prob of sequence btto.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -219987, -439972, -659955, -879936, -1099915?\nAnswer: -1319892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 4*b - 8110 = -8013, -65 = 3*a + 4*b for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12, 19, 24, 27, 28, 27?\n\"Answer: -h**2 + 10*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 c when three letters picked without replacement from {x: 2, c: 6, h: 1, n: 7, a: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-19 + 19 + -6) - (2 + 15).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284240 is divided by 4736?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -x**8\/840 - 2*x**7\/105 - x**6\/50 + 16*x**5\/15 + 35*x**4\/12 - 50*x**3 + 296*x**2. Find m, given that v(m) = 0.\nAnswer: -5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 7851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 765, 2140, 3513, 4884?\nAnswer: 6253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4520 + -352232?\nAnswer: -360052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 39425 - 6988 = -30203. What are the prime factors of d?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-38)\/(-14) + 6\/21. Let t be (-5 + 5)*(-3)\/(-6)*-1. Suppose t = 3*a - v - 7 - 32, 5*a + j*v = 79. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3190.741 decades in years?\nAnswer: 31907.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -143, -2, -3, 1, -2\/15, 0.4.\nAnswer: -143, -3, -2, -2\/15, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*(9572\/4)\/(-1 - -2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from tltrctlrllctl.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 172. Suppose -2*m + o = 3*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 5*v**4\/12 + 58*v. Let l(y) = 22 + 20 - 42 + 7*y**2. Give l(b(m)).\nAnswer: 175*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88, 86, 82, 76, 68?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -1, 4, 5, 1390, -43 in increasing order.\nAnswer: -43, -5, -4, -1, 4, 5, 1390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 4*r + 12. Suppose k = 2*n + 10 - 0, 0 = 4*k - 5*n - 34. Let p be l(k). Suppose 4*q - 110 - 126 = p. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 7:29 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -27542*z**2. Let b(m) = 20*m**2 + 2*m. Determine b(r(y)).\nAnswer: 15171235280*y**4 - 55084*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 146732 - -38797. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (825\/495)\/(((-1)\/(-2))\/((-117)\/(-30))). Solve g - 11 = -h*c + 15*c, 21 = g - 4*c for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-71050)\/4550 + (-126)\/91\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -29 (b) 1\/314 (c) 4 (d) 3 (e) 1 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -p - 3 - 14*p**3 - 2005*p**2 + 2004*p**2 + p as v + d*p**3 + f*p**2 + j*p and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1))**15*(w**(-2\/7))**(-1\/58) assuming w is positive.\nAnswer: w**(1\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7*p. Let f = 133 + -88. Let d = 64 - 19. Let b(t) = -t - d + f. Give j(b(x)).\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 15. Suppose 1 = 5*p + m*o - 10, -5*o - 22 = -4*p. Suppose t = 5*s - 108, s - p*t = -3*s + 93. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*l - 22*l = 24. Solve l*u - 7*u = -2*b + 13, 19 = -3*u + 4*b for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -90769 at most as big as -90808?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.04 + -9.8. Let r = j - 0.2. Let b = -0.04 + r. What is the closest to 2\/3 in 0, 0.1, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 9*u - 2. Suppose -1 = 4*x - 9, 3*f = x + 25. Let s be h(f). Let n(k) = -2*k**3 - k**2 - 2. What is the smallest common multiple of n(s) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 128, 294, 434, 536, 588?\n\"Answer: -2*c**3 - c**2 + 183*c - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i - i**3 + 0*i + (i**2 + 0*i**2 - 3*i**2)*(3*i - i + i) - 19*i**3 + 20*i**3 + 24*i**3 to x*i**2 + s*i**3 + b*i + v and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11374\/(-99264)*27\/66\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.21219 to zero dps.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31867 and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 26, -1, -693 in descending order.\nAnswer: 26, 4, -1, -693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 299441 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -11064\nAnswer: 3\/3688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000031184416 rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -23172 (base 8) to base 3\nAnswer: -111111211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - j**2 + j + 2. Let t be m(0). Let n be (0 - (-2)\/t) + -9 + 8. Let b be 4*(7\/6)\/7. Sort b, -2\/15, n in descending order.\nAnswer: b, n, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 26826182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5*x**3 - 29*x**2 + x + 12. Calculate the remainder when 264 is divided by q(6).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15760)\/5516*21\/(-615)?\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 49376?\nAnswer: 345632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 221014060 and -0.4.\nAnswer: -88405624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (1444 + 880 - 307 + 986 - 283)*(-v - v**2 + v) as f + u*v**2 + h*v and give u.\nAnswer: -2720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -38, -22, 12, 70, 158, 282?\nAnswer: 448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) + (-2*sqrt(110) - sqrt(110)))*-3 + 1*sqrt(110)*-4)\/(sqrt(1440)*-1*6*3).\nAnswer: -sqrt(11)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + -11 + 34 - -5 - 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-1 - 0))\/1. Which is bigger: d or -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14390 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 90977 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d**2 + d - 32. Let g be o(-6). Let x = g - 106. Suppose -2*f + 7*f + 144 = 4*b, -f = x. Solve -5*t = b - 11 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2. Let p(g) = -138*g**2 - 13*g + 13. Let l(z) = -23*z**2 - 2*z + 2. Let o(w) = -39*l(w) + 6*p(w). Give o(v(b)).\nAnswer: 276*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2963.87 rounded to the nearest 100?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242 = -3144789*v + 3144793*v + 2*g, 21*v - 1251 = -4*g for v.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 214*s = -217*s + 4, 0 = 2*v + s - 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 14 = 3*j - 3*m, 5*m - 8 = j - 12 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 1870594?\nAnswer: -3\/1870594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1008 and 1363.\nAnswer: 1373904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of j**4\/12 + 23*j**2\/2 - 5*j. Let s be k(0). Solve -3*g - 5*t = -3, t = 5*g - 0*t + s for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*a**3 + 4*a**3 + a**3 + (-a + 0*a - a)*(3*a**2 + 2*a - 2*a) + (-4*a**3 + 0*a**3 + a**3)*(-3 + 0 + 0) to c*a**2 + j + f*a + m*a**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 45630421 and 19055.\nAnswer: 45649476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -11074 + -298.5883105?\nAnswer: -11372.5883105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 1 + 1)*(2*v - 4*v + 5*v)*(-6 - 6*v + 6)*(-1 - 2 + 5 - 11*v).\nAnswer: -198*v**4 + 36*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/4 and -89\/84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1077*z = -542*z - 506*z - 261 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 6 = 2*v, -595*g + 594*g = 15*v - 11*v - 12 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -t**4\/24 + 7*t**3\/6 + 19*t**2. Let x(q) = -q**3 - 5*q**2 + 9*q + 6. Let s be x(-6). Let o be (48\/(-20))\/(s\/30). Give f(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a6 + -11?\nAnswer: -b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -282 - -5595?\nAnswer: 5313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 4:49 PM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 4*k - 22, 9*k = -2*u + 4*k - 13. Let w(g) = -3*g**3 - 14*g**2 - 27*g - 11. What is the hundreds digit of w(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*s**2 - 6213*s + 11*s**3 + 6213*s)*(3*s - s + 2*s + (2*s - s + 0*s)*(-4 + 3 + 2)).\nAnswer: 55*s**4 + 35*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 - 275*z**2 + 270*z.\nAnswer: 5*z*(z - 54)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 394 - (-2)\/(-5)*10 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -263 + 257. What is the units digit of (136\/(-10))\/((-9)\/((-1485)\/v))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 106\/825 - (-16)\/(-88). Suppose -2 - 2 + 4 = 7*z. Is z equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44.39 + 5.61. Sort 2\/5, 4, n in decreasing order.\nAnswer: n, 4, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**3 + 2 - 2)*(4*b**2 + 2*b**2 - 5*b**2) + 0*b**3 - b**5 + 0*b**3 + 0*b**2 - 2*b**5 + 0*b**2 - 2004661*b**4 + 1692*b**5 + 2004661*b**4.\nAnswer: 1691*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10858 to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*j - 199*j + 3706 = 218*j - 442*j for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 2, 0, 1\/5, -25?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*s + 5. Let y(m) = m + 1. Let o be y(s). Let p be o\/(-1)*6\/32. Is p at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 7. Suppose 486 + 96 = 3*a + 3*z, -5*z = -g*a + 812. Calculate the highest common factor of 18 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 4\/3 (b) 1 (c) 761 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a. Let p(b) = 9*b**3 + 6*b**2 + 17*b + 10. Let r be p(-1). Let y(n) = -n. Calculate r*s(l) + 2*y(l).\nAnswer: 18*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3050210?\nAnswer: 2, 5, 305021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1524*f = 1534*f + 20 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + t + 1. Let h(v) = 3*v**3 - 2*v**2 - v. Let x(r) = h(r) + w(r). Calculate the lowest common multiple of 10 and x(1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1983781, -1983844, -1983907, -1983970, -1984033?\nAnswer: -1984096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1069*f**2 + 1033*f**2 - f + 0*f.\nAnswer: -36*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h + 27. Let j(g) = g - 18. Let y(x) = 3*j(x) + 2*m(x). Let w(u) = 2*u**3 + u**2 - 2*u. Determine -w(b) - 3*y(b).\nAnswer: -2*b**3 - b**2 + 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in -5, -7\/26, 0?\nAnswer: -7\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*w - 141 + 161 - 20.\nAnswer: -19*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7, 1, 2, -1 in ascending order.\nAnswer: -7, -3, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 65774 rounded to the nearest 100?\nAnswer: 65800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {n: 11, f: 9}.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1794145 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1378 divided by -26.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 290*i - 1525. Suppose n + 3*c - 7*c = -7, -123 = 4*n + 3*c. Let g = 51 + n. Calculate the remainder when k(6) is divided by g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/7))**(-5\/21) assuming q is positive.\nAnswer: q**(-5\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of p**6\/100 - 11*p**5\/300 + p**4\/30 - p**3 - 2. Let g(b) be the third derivative of t(b). Find v, given that g(v) = 0.\nAnswer: 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -39*c**2. Let n(b) = 9*b**2 + 2*b. Let k(z) = 147*z**2 + 33*z. Let w(p) = -2*k(p) + 33*n(p). What is w(a(f))?\nAnswer: 4563*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 16*p - 266. Let o(u) = -48*u + 750. Let z(f) = 14*n(f) + 5*o(f). Let k(d) = -3*d + 5. What is -11*k(q) + 2*z(q)?\nAnswer: q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1156 = 2*y - 348. Suppose 921 = 5*t - r, -4*t = -0*t + 3*r - y. Is 24 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 132 - 28. Calculate the common denominator of 39 and 15\/j*14\/1449*170.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**23*l\/l**(3\/13)*l assuming l is positive.\nAnswer: l**(322\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 85650 and 15417?\nAnswer: 770850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62 + 62. Which is the biggest value? (a) 3 (b) -0.4 (c) h (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81 + -153 + 140 + (5 + 3 - -3).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - -2969229.\nAnswer: 2969234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14694914723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yjcyyjj. What is prob of picking 2 j and 1 y?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3227261*i**3*u**2 + 11*i**2*u**2 - 4*i**2 - 1286*i*u**2 wrt i?\nAnswer: -19363566*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 120716629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-9)*1884\/35168.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**4 - 3*n**4 + 8*n**4 + n**4 + 0*n**4 - 2*n**4 + (-3 + 3 - 2*n)*(-3*n**3 + 4*n**3 - 2*n**3) - 3*n**4 + 2*n**4 + 3*n**4)*(23 - 4 - 7).\nAnswer: 96*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/40 and 35\/68?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g**3 - 2*g. Determine v(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**6\/10 + g**4\/24 - 7*g**3\/2 - 2*g**2 - 44. What is the first derivative of c(a) wrt a?\nAnswer: 36*a**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v + 40. Suppose 5*i - 111 = 2*u, -u + 8 = 3*u. What is the remainder when 47 is divided by h(i)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*a**2 - 3*a**3 - a + 112*a**2 - 4 - 57*a**2 + a**3 - a**4 to c*a + h*a**2 + m*a**3 + q + n*a**4 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4163526345 and 165?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 239917528 to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -s + 9. Suppose s*l - l = -210. Let a = 125 + l. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -87 times 624776\nAnswer: -54355512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pee when three letters picked without replacement from sbpebepbebsbp.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23586?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/38 (b) 46 (c) 2 (d) 1 (e) 0.042\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 - -3)*13\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12567 and 12?\nAnswer: 50268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**2*h**2*i - 18*a**2*h**2 + 34*a**2*i + 2*a**2 + h*i - 3*i with respect to h.\nAnswer: -2*a**2*h*i - 36*a**2*h + i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33*0.433.\nAnswer: -14.289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 5*r = -1, -2*d = -4*r + 1 - 7. Suppose -5 = -3*i + d. Let t(c) = -c**i + c**2 - 2*c**2. Let x(p) = p. Give t(x(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32733801 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 36029646670315 from 0.12.\nAnswer: -36029646670314.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**3*b*(b\/b**(-22))\/b*(b**(-17)*b*b*b)\/b**(-4\/11) assuming b is positive.\nAnswer: b**(147\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 9:12 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/(-12)*2\/(4\/6). Suppose -5*m - 31*k + 36*k = 5, -5*k + 32 = 4*m. Sort -2, m, t, -5 in descending order.\nAnswer: t, m, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/120*10\/12)\/((-2541)\/4620).\nAnswer: -5\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (65\/(-20))\/(-13) - 9\/(-12). Solve -w = 5*z - 4*c, 5*z + 2*c - 27 = -c for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 12*k**2 - 14*k - 25. Calculate h(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 76465740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b**2 - 13*b + 16. Let k be y(-5). What is the greatest common factor of 21 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n**2. Let q(m) = 7*m**2 - m. Give i(q(z)).\nAnswer: 147*z**4 - 42*z**3 + 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/16 and 111\/21392.\nAnswer: 21392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (250 + 5)*15\/9. Suppose -507 = -2*z + 5*l - 70, l + q = 2*z. Let a = -150 + z. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005266488 rounded to five dps?\nAnswer: 0.00527","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, -1, 1.2, -6, 2574 in descending order.\nAnswer: 2574, 59, 1.2, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-10480)\/1800 - (-4)\/(-10) - -6) + 0\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 8 = 3*y - 71, 2*j = -3*y + 37. Suppose 0*f - 49 = -4*f + 3*s, -2*f = -4*s - 32. What is the remainder when j is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1223429314 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 315713199 to the nearest integer?\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -23147 (base 12) to base 13\nAnswer: -18433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7077628?\nAnswer: 2, 43, 41149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 6*y**2. Let b = -99 - -98. Let j be -5*b\/((100\/(-8))\/(-5)). Let f(c) = -2 + 3 - 1 - 10*c**j. Determine r(f(z)).\nAnswer: 600*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ioin when four letters picked without replacement from {z: 2, n: 1, i: 6, l: 4, o: 7}?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 68503*k**3*m**2 - 372*k**2*m**2 - 2*k*m**2 - 7*k wrt k?\nAnswer: 411018*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + 1 - 1)*(1 + 4 - 2).\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + -26. Let z be (4\/14)\/m + 78\/42. Sort -2, z, 1\/2, -0.5 in increasing order.\nAnswer: -2, -0.5, 1\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4020112 to 4 dps.\nAnswer: -0.402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10*(1 - 21\/35). Solve -v*y + 11 = 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, h: 6, q: 1, x: 8}. Give prob of picking 1 u and 3 h.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26317\/19 - -1385. Let a be (-6)\/9 + (-5)\/(-3). What is the biggest value in 4, x, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -1889063\nAnswer: 4\/1889063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 5*q**2 + 4*q. Let u(r) = -r + 1. Let w be -3 + 6 + (-8)\/2. Let a(c) = w*m(c) - 2*u(c). Is a(3) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*b + j, -2*j = -7*b + 3*j + 54. Let u(o) be the third derivative of -5\/3*o**3 + 0*o + 3*o**2 + 1\/12*o**4 + 0. Determine u(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2964 and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1573*m**5*x + 7*m**4*x**2 - m**2*x**2 - 6*m**2 + 11*x - 83 wrt m.\nAnswer: 94380*m**2*x + 168*m*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5034*d**5 - 4*d**4 + 20*d**2 + 616*d?\nAnswer: -302040*d**2 - 96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/((-176)\/(-24)))\/(1\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1306454556 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -4*a. Let g(w) = w. Let i be (-18)\/(-5) + 40\/100. Let j(x) = i*h(x) + 20*g(x). Let f(m) = m**2. Calculate f(j(r)).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -24 - 40. Let m be (u - 1)\/3 + -1. Let a be -2 + -3 + 184020\/m. What is a rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 6*b**2 - 5*b - 1. Let h = -34 + -6. Let x = 80 + h. What is the remainder when x is divided by d(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 95 + 65. Let t = w - 16. Calculate the highest common divisor of 64 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -64, -35, -2, 35?\n\"Answer: 2*t**2 + 23*t - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7066 + 7066 - 17*a - 7*a.\nAnswer: -24*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m**2 - 2*m**2 + m**2)*(-4 + 0 + 6) + 38*m - 38*m + 81*m**2 + m**2 - 6 + 6 in the form c + v*m**2 + q*m and give v.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 42*f**5 - 827*f**4 + 3953*f**3 - 3567*f**2 - 4619*f + 3770 = 0. What is f?\nAnswer: -1, 29\/42, 2, 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*-4*sqrt(114)*3)\/((sqrt(54) - sqrt(324)\/(sqrt(6)*-1))\/(sqrt(9)*2*-5)).\nAnswer: -1080*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -810399 (b) 0.3 (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -221 - -222. Let n(m) = 2*m**2 - 10*m + 4. Let r be n(4). Put r, x, -5 in descending order.\nAnswer: x, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -201 + 107 + 96 - 376*z in the form i + f*z and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 712 - 496. 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: What is 11\/7 of a week in hours?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(-3 + (-1)\/1). Let p(c) = 2*c + 6. Let v be p(-7). List the prime factors of (-12)\/x*v\/2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 23*g - 415. What is m(0)?\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*n**3 - 73*n**3 + 152*n**3 + 9 - 9.\nAnswer: 7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 6*v - 69 = 0. Let d = -33 + v. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19121, 38237, 57355, 76475, 95597?\nAnswer: 114721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.9 + 0.9. Let n = 8 + b. What is the nearest to -0.1 in n, 0.2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3*p + 4 = -p, 4 = 4*l - 4*p. Let f = 6 - l. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197245232 to the power of 1\/2, to the nearest integer?\nAnswer: 14044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1645 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -2\/363, -5, -0.5, 1\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 518204*o**2 - 24*o - 10*o - 517979*o**2.\nAnswer: 225*o**2 - 34*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3348747?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45637694?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d6ab + 38?\nAnswer: -1d673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52147 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 193148506 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 115 - 119. Which is the nearest to -0.2? (a) -0.7 (b) k (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 + 2)*(5 + 8 - 1)*(-n**2 + n**2 + 2*n**2) to y + w*n + c*n**2 and give c.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*b - 177 - 485, 0 = -b - 4*d + 340. Calculate the remainder when b is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 418286 and 361247?\nAnswer: 7947434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -80, 381 in increasing order.\nAnswer: -80, 0.4, 381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 53942, 107839, 161736, 215633, 269530, 323427?\n\"Answer: 53897*z + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38.968 - 0.032. Let o = m - -126. Let x = o - 96.3. Round x to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 + 25. Let h = -9 - i. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79853782 divided by -4?\nAnswer: 39926891\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (2 - 4)) + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 633 + 30. What are the prime factors of q?\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62025.92 millennia in centuries?\nAnswer: 620259.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 266\/2682013 or -1?\nAnswer: 266\/2682013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/107956 - -2105243\/10903556. What is the common denominator of r and -119\/10?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -5, 54, -10 in descending order.\nAnswer: 54, 0.4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -6) + (-5 - (4 + -9))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -1294043*m - 11646424. Give f(-9).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 266 - 176. Suppose i = 13*s - 7*s. What is the remainder when (14\/(-5))\/((-2)\/20) is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.20986 millilitres?\nAnswer: 0.00420986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0407421092 rounded to 5 dps?\nAnswer: -0.04074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 546509243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.1832 take away -347395341?\nAnswer: 347395346.1832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2\/33, 5 in ascending order.\nAnswer: -1, 2\/33, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 178.64 + -174. What is a rounded to 1 decimal place?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -7*q + 2*q + 9, 4*o + 20 = 4*q. Factor -3*n**3 + 3*n**3 - 2*n**2 + n**q.\nAnswer: n**2*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/3)\/(3 + (-40)\/12). Solve -r*c - 4*a - 11 = 21, 2*c = 2*a for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13108 divided by 452.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 895 is divided by 24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-80) + 2\/5. Let i(r) be the first derivative of -3\/4*r**2 + l*r**4 + 0*r**3 + 1 + 0*r. Find n such that i(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -69*v + 482. Let z be x(7). What is the second biggest value in z, 6, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 50\/3*(157 + -10). Let l be g\/(-1628) + (-57)\/(-38). Is -1 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -q**6\/15 - q**5\/6 - 7*q**2. What is the third derivative of k(v) wrt v?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**2 - 593*i - 592 = 0.\nAnswer: -592, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.045, -0.5, 4, 1\/5 in descending order.\nAnswer: 4, 1\/5, 0.045, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*i - 34*i + 22 - 23*i - 11 - 11.\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -5*t**5 + 6290*t**4 + 539675*t**3 + 3505960*t**2 + 2972580*t = 0.\nAnswer: -74, -6, -1, 0, 1339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m**2 + 50*m**3 + 9*m**2 - 5 + 7 + 22*m**3 - 4*m. Let v be f(2). Suppose 10*o + v = 16*o. What are the prime factors of o?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-1))\/d)**(-16\/3))**(-36) assuming d is positive.\nAnswer: d**(-192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h**5 - h**4\/6 - 25*h**3\/3 - 13*h**2\/6 + 5*h = 0. What is h?\nAnswer: -5\/2, -1, 0, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 3*t = 1840. Suppose -3492 - t = -8*l. Suppose 0 = 5*a + 59 - l. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40 - 25. Let n = 150 + a. Calculate the remainder when n is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 4*o - 95. Let x be v(-12). Let t be (2\/(-1))\/((-1)\/2). Differentiate 2*k**t + 3*k**4 + 12 - x wrt k.\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1058, -5, -4 in decreasing order.\nAnswer: -4, -5, -1058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -154*z. Let f(m) = 83*m. Determine l(f(v)).\nAnswer: -12782*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) 0.02 (b) -1 (c) 3 (d) 52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 60721055?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/4 and 65\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 45 divided by 9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11759, 23551, 35293, 46961, 58531?\nAnswer: 69979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**3 - 24 + 8 + 10 + 6.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 137*k - 3 = 136*k, 4*k = 3*t - 21 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 787108?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 13*o**2 - 8*o + 35. What is the tens digit of w(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126622, 506747, 1140296, 2027275, 3167690, 4561547, 6208852, 8109611?\nAnswer: 10263830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**5\/270 - 1753*m**4\/54 + 3073009*m**3\/27 - 2*m**2 + 989*m. Factor b(n).\nAnswer: 2*(n - 1753)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8550 and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 4121?\nAnswer: -4115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 396 and 88044.\nAnswer: 264132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.58 and 0.07?\nAnswer: 3.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8172*c + 305 = -8184*c - 235 for c.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 58143054995 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4 = 2*l, -i = -4*l + 5 + 8. Suppose -30*w + 2*c + 2292 = -28*w, 0 = -l*w - 3*c + 4605. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-3444))\/(3\/292) - 63\/((-17010)\/(-60))\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -686 and -278392352?\nAnswer: 278391666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.14142 + -0.140951. Round g to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-3))\/(2\/(-12)). Suppose -p*r + 1 + 5 = 0. Solve 2*u + 18 = -3*m - 2*u, r*u = 4*m - 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 0 - 8*a**2 + 8 - 11*a + 34*a - 18*a + 17*a**3. Let k(c) = -c**2 + c. Let r(g) = -6*k(g) + y(g). What are the prime factors of r(2)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 5*z - 2*h + 28, 0 = -5*z + 3*h + 8. Solve 0 = -3*r - 0*r - 4*f - 7, f + z = -3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103722206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 30*d**2 - 106*d - 329. Determine x(6).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7a2 + -5?\nAnswer: -7a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2097, -2131, -2247, -2487, -2893, -3507, -4371, -5527?\n\"Answer: -7*t**3 + t**2 + 12*t - 2103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 174 and 471801.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 13*w - 8*w. Let j be ((-52)\/10)\/(w\/(-160)). Suppose 0 = -k - 3*z + j, 5*z = -12 - 3. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.2 + -0.908798?\nAnswer: 92.291202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010 + -100010111001001101?\nAnswer: -100010111000111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {u: 1, n: 2, j: 2, w: 4}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48400?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3949 - 3918. Solve -20*x - 89 - f = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-8))\/(44\/(-48) - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/2715 + -12478\/29865. Find the common denominator of 23\/30 and m.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5*sqrt(7)*-2*1 - (-6*sqrt(252) + 2))**2.\nAnswer: -184*sqrt(7) + 14811","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38\/337 or 0?\nAnswer: -38\/337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -9*c**2. Let n(f) be the second derivative of f**6\/18 - 77*f**4\/6 - 2*f - 31. Let g(a) be the third derivative of n(a). Calculate g(h(k)).\nAnswer: -360*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 5*o**2 - 11*o - 52. Give q(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 55.24897g?\nAnswer: 55248970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i - 2*i + 2 + 12 - 8 + 288*i**2.\nAnswer: 288*i**2 + i + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p + 3. Let y be f(2). Let d(i) = -i + 13. Let b be d(11). Suppose 3*m = b*v + 4, -4*v = 3*m - 27 - 1. Sort m, y, 1.\nAnswer: y, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 142*j - 70*j - 7 - 73*j + 1. Let z(r) be the second derivative of -r**2\/2 - 5*r - 81. Give v(d) - z(d).\nAnswer: -d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28)\/sqrt(16) - (-4 + sqrt(28)\/sqrt(4))) + -2 + (2 + sqrt(1008) + sqrt(1008) - sqrt(1008))**2)*-5.\nAnswer: -5070 - 475*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 32*d**2 + 151*d - 8. What is y(-5)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 888718*n**2 + n + 2268143?\nAnswer: 1777436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 99b9?\nAnswer: 99bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*i - 200 = 11*i. Suppose i*h - 264 = -0*h. Let y(v) = 12*v + 4. What is the remainder when y(5) is divided by h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 3 - 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29.365236 - 47.\nAnswer: -76.365236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 433 + -429. Let q(h) = -p*h + 4*h**2 + 9*h**3 - 7*h**3 - h**2 + 5 - 3*h**3. Let m(n) = n**3 - 3*n**2 + 3*n - 4. Give 4*m(x) + 3*q(x).\nAnswer: x**3 - 3*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-42)\/(-4) - 1\/(-2). Suppose 0 = -3*a - 5*i + 19, -4*a = 4*i - t - 9. Suppose 4*q + 8329 = 5*f + 8336, 4*q - 47 = -3*f. Which is bigger: f or a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336808623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1435980.\nAnswer: 2, 3, 5, 7, 13, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2603?\nAnswer: 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-4)*60\/25. Suppose -6 = -s*u + 5*u. Let v(w) = w + 48. Calculate the smallest common multiple of u and v(-28).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u**4\/5 + 34*u**3\/5 - 13043*u**2 + 130292*u\/5 - 13024 = 0. Calculate u.\nAnswer: -88, 1, 740\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1326 - 4393 = -19*s. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -3, 26 in ascending order.\nAnswer: -3, 0.3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k - 1. Let u be g(-1). Suppose -5 - u = 3*h. What is the units digit of (h - (1 + -4)) + 26?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/52)\/(-1*3). Let v(r) = -r**2 + 8*r - 17. Let o be v(9). Let i be (8\/6)\/(o\/(-18) + -1). Solve x + z*x + i*j + 10 = 0, 0 = 5*x + 4*j + 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -375 - -383. Let d be 1 - 3\/(-2)*2739\/495. Is a less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 5, 7\/5, 0, -0.084?\nAnswer: -0.084","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 2:28 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -86162087*c*r**3 + 20*c*r**2 - 2*r**3 - 5253663*r wrt r?\nAnswer: -516972522*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**2 + 6*q - 24. Let w(b) be the second derivative of b**4\/4 + b**3 - 12*b**2 + 19*b. Let x(z) = -4*h(z) + 3*w(z). Solve x(n) = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 523 - 525. Do m and -67 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2008804162 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-3)*(-48)\/32. Suppose -5*z + k*f - 7*f = -3409, 2*f - 2047 = -3*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 2 = -4 - 6, -9*q = m - 39 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 945.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/3)*n)**46*((n**(5\/2)\/n*n)\/n)**3 assuming n is positive.\nAnswer: n**(671\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4718 is divided by 80?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40123 + 160763 = 65*u. List the prime factors of u.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -3*i**3\/2 - i**2 - 2*i. Let a(x) = 4*x + 0 - 1 + 2. Give 7*a(g) + 3*z(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 + -41865?\nAnswer: -41871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 339*s**3 + 3*s**2 - 970. Let r(l) = -677*l**3 - 7*l**2 + 1939. Let g(y) = 3*r(y) + 7*u(y). Find the first derivative of g(t) wrt t.\nAnswer: 1026*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, -1, -10\/3, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29594, 118163, 265778, 472439, 738146, 1062899, 1446698?\nAnswer: 1889543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c + 3. Let z be a(3). Suppose 0 = -8*n + 3*n + 3*o + 123, n - 25 = o. Suppose -6 = -2*h + n. Solve z = 2*g - 5*g - h for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.16 and 16.\nAnswer: 2.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 845 and 12935.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31245\/17 + -1103503\/595. Let q = -1759841\/21 + 83780. Let a = q - h. Calculate the common denominator of 65\/4 and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -93.\nAnswer: 46.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of 0 + 1\/8*j**4 + 198*j**2 + 0*j - 1\/6*j**3. Give n(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (0 + -4*(1 + sqrt(448))*-2 + (-2 + sqrt(448) + 1 - sqrt(448)) + (1 + sqrt(448) + sqrt(448))*5)**2.\nAnswer: 3456*sqrt(7) + 145293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5*-3*(1 + sqrt(2736)) + (-4*(sqrt(2736) - (-2*sqrt(2736) - sqrt(2736))) + sqrt(2736) - (sqrt(2736) + -1*sqrt(2736))*2))**2.\nAnswer: 64800*sqrt(19) + 14775750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-7)\/(-259)*(6\/84*7)\/(-1).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25205102 and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -28 + 28 + 2*p**2. Let f(l) be the third derivative of l**4\/6 - 15*l**2. Give a(f(c)).\nAnswer: 32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 294013 = -3\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4a (base 16) to base 13.\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -2. What are the prime factors of (0 + -2)*-1 + x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - g + g)*(-15*g**4 - 510*g**3 - 6*g + 255*g**3 + 254*g**3).\nAnswer: -30*g**5 - 2*g**4 - 12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 485294113 divided by 5\nAnswer: 485294113\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2) - 1)\/(87\/(-29))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 8*m**2 + 14*m + 26. Let f(d) = -d**2 + 2*d + 42. Let p be f(-6). Calculate the lowest common multiple of 100 and c(p).\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + -1)*100\/(-15). Let y be b\/3 + 4\/(-6). Calculate the greatest common factor of y and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 105.1 and 6.5483.\nAnswer: 111.6483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 108804, 217604, 326404?\n\"Answer: 108800*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = j - 9, 0 = 54*q - 55*q + 5*j - 41 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 17640 divided by -2\nAnswer: -8820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 < 465\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -q - 4*q. Suppose -25 = -2*i - 3*z, -2*i + 5 = 3*i - 4*z. Suppose v + 12 = i*v. What is the smallest common multiple of q and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-2 + -17) - 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 8 + 24 = 0. Solve u - 15 = 4*g, 0 = -t*u - 4*g - 35 - 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**5\/(k*k**(-6\/11)) assuming k is positive.\nAnswer: k**(50\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 860 and -0.051195218?\nAnswer: 860.051195218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 7. Let x(q) = q - r*q - 4 - q. Determine x(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -13. Which is the smallest value? (a) p (b) 4 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021.8911 rounded to 0 dps?\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-386)\/(-5) - ((-24)\/30 + 1). Suppose 101 = -z + 4*z - 2*n, -4*n = 3*z - y. Let w = 756 + -508. What is the greatest common divisor of z and w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 1 = -7*a. Let i be (-8)\/(-5) - 2\/(-5). Which is greater: a or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 204 + -203. Which is the nearest to x? (a) -0.55 (b) 2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 1. Suppose 2*v - 21 - 5 = s. Calculate the remainder when v is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times 2214.796?\nAnswer: 19933.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-144))\/((-20)\/180).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 157626847820 to the nearest 1000000.\nAnswer: 157627000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dzdz when four letters picked without replacement from ndgndgznaajgagzgzag.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -921293 by -15.\nAnswer: 921293\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5359329266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66097 is divided by 7335?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 11*j**2 + 9*j - 6. Let a be x(10). Let q be 4\/a - (-2)\/8. Solve 4*c - 8 = q, c - 2 = -3*s - 0*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -433 + 12211?\nAnswer: 11223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 1, -0.1, -2.6, 5, -9.\nAnswer: -9, -2.6, -2\/5, -0.1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103521 (base 7) to base 6.\nAnswer: -215440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 8, p: 2, z: 3, e: 2, t: 1, j: 4}. What is prob of sequence jetp?\nAnswer: 2\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/12 + 2\/8. Let h(t) = -t**3 + t**2 + 4*t + 1. Let f be h(-2). Suppose s = -2*g + 3*m + 246, 3*g - f*m + 8*m = 384. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 436*g - 432*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 7*f**3 - 4*f**2 + f - 6. Let k(n) = -6*n**3 + 3*n**2 - n + 5. What is 6*k(g) + 5*w(g)?\nAnswer: -g**3 - 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-1 - (1 - 13)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -837, -2948, -6465, -11388, -17717, -25452, -34593?\nAnswer: -45140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 501574 is divided by 64.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - l + 3)*(0 - 2 + 4) + (2*l - 8*l - 4*l)*(0 - 4 + 2) to the form a*l + p and give a.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z + z + 2*z + (2*z - 3*z + 3*z)*(-2 - 1 + 1))*(2 - 2 - 10) in the form q*z + t and give q.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**2*v**3 + 38*c**2*v**2 + 3*c**2*z - 23*c*v**3*z + 23*c*v**3 + 18*c*v**2*z + v**3*z - 2*v**2*z wrt v?\nAnswer: 6*c**2 - 138*c*z + 138*c + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**2\/7 - 80*n + 18304\/7 = 0.\nAnswer: 52, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6922, -6851, -6788, -6733, -6686, -6647, -6616?\nAnswer: -6593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 31775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43186 (base 10) to base 16.\nAnswer: a8b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s + 1. Let i(d) = 11*d + 6. Calculate -6*i(r) + 34*l(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2874)\/(-4))\/(8\/96). Let x be 10\/(-6)*l\/(-6). Suppose -4*w - w = -x. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*q - 25*q + 42*q + 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbbzi. Give prob of picking 1 b and 1 z.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 1, -32, 3, -1075, -3 in descending order.\nAnswer: 4, 3, 1, -2, -3, -32, -1075","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60.1 + 56. Let l = g - -1.1. Which is greater: l or -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29755547 rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70791 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 581718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c + 12. Let n be u(-3). Suppose 2*k - 2*t = 0, 8*k = 3*k - t + n. Solve -a = -k*g - 9, -3*a + 0*g - 21 = 4*g for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 27*o - 6412. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*n**3 - n - 1 + 0 - 60*n**3 - 2*n**4 in the form v*n**3 + w*n**2 + s*n**4 + j*n + h and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.496 + -0.696. Which is the second smallest value? (a) v (b) -0.4 (c) -1\/7 (d) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 2272075?\nAnswer: 2272075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (118\/(-19))\/2 + 120\/1140.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**2 - 457632*t - 17452253952 = 0. Calculate t.\nAnswer: -76272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9024*r + 4607*r + 6447*r)*(-7 + 5 - 2).\nAnswer: -8120*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**6\/h**(-6))**(-47) assuming h is positive.\nAnswer: h**(-564)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2446857, -2446851, -2446835, -2446803, -2446749, -2446667, -2446551, -2446395?\n\"Answer: s**3 - s**2 + 2*s - 2446859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -107.1960811 to three decimal places.\nAnswer: -107.196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -13160835.3 rounded to the nearest 100000?\nAnswer: -13200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 9) + -4 + 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/9680 and -59\/56320?\nAnswer: 619520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3866)\/(-40))\/((-140)\/18424) + -10. Suppose 8*v = 3*v - 63650. Let g = t - v. Find the common denominator of g and 79\/18.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 397 = -s + 4*o + 1139, 0 = -2*s - 4*o + 1520. What is the remainder when s is divided by (-6)\/72*4*(0 - 84)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 14786, -0.43 in descending order.\nAnswer: 14786, 0, -0.43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -370, -369, -370, -373, -378?\n\"Answer: -m**2 + 4*m - 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y\/(y\/(y\/y**(-2\/7))*y)*y)*y)\/(y**(-2\/37)\/y*y)*y*y**(-16)*y**3*y assuming y is positive.\nAnswer: y**(-2391\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 164\/14 - (-2)\/7. Suppose 0 = -5*b + 3 + u. Solve -b*p + 1 - 13 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s + 13. Let c = -53 - -47. Let d(g) = 2*g**2 + 15*g + 9. Let p be d(c). Let y be z(p). Put 13, -2, y in descending order.\nAnswer: 13, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and (22\/4)\/(2\/20)?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**4\/5 + 444*z**3\/5 - 1260*z**2 + 20612*z\/5 + 5472 = 0. Calculate z.\nAnswer: -1, 8, 9, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 333 = 4*k, 5*k - 23*o = -26*o + 370. Is 2 smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -5*z + 6. Let d(a) = -2*a + 4*a + 510056 + 0*a - 510059. Determine -5*d(n) - 3*v(n).\nAnswer: 5*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -2*k - 21, 206865*k - 39 = 206869*k + 5*o for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3017 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 979.7 less than 2?\nAnswer: -977.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 7:57 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 617.757433 to 2 dps.\nAnswer: 617.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/11))**42*q**(-1\/12)*(q*q**(2\/23)\/q*q*q)\/q assuming q is positive.\nAnswer: q**(-20137\/3036)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29474711 to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71 + 76 - 147 - i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -165.90047727 + -1.1.\nAnswer: -167.00047727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 4:56 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**27)**(-14\/3)*l\/l**11*l*l**(-6)*l)**(-1\/14) assuming l is positive.\nAnswer: l**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3569027160 and -0.007671.\nAnswer: -3569027160.007671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 928094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*y**5 - 5*y - 1 + 167*y - 3*y**5 + 960*y**4 - 938*y**4 wrt y?\nAnswer: -20*y**3 + 264*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -124*j**5\/15 + 387*j**3\/2 - 68*j**2 + 2. Differentiate h(u) with respect to u.\nAnswer: -992*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 5*t - 135, 68 = 4*m + 5*t - 38. Solve m*d - 27*d - 6 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 312 - 180. Let k = 131.9 - t. Let v = 3 + -6. Which is the fourth smallest value? (a) v (b) k (c) -9 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 1 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 17492?\nAnswer: 69968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 513817.6 to the nearest 10000.\nAnswer: 510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/12 = -0.6353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 104\/209 - 6\/19. What is the nearest to -0.2 in c, -5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11, -5, 4, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 249 and 17513?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 44*z**2 + 53*z - 354. Let n be 23 + (-2)\/(-2)*3. Calculate the remainder when (3\/2)\/(1\/n) is divided by r(45).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/4, -21.9, -22\/39?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from sssjvssvjjjsj.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 174 - (-104 - -105)\/((-1)\/2 + 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 18*n**2 + 23. Let v be w(-5). What is the greatest common factor of 43 and v?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 39*i**2 + 1365*i + 25. Determine v(-35).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 + 149848*f**2 + 6884724*f + 6734880.\nAnswer: 4*(f + 1)*(f + 45)*(f + 37416)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.61 + 3.51. What is n rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 + 93 + (4 + 6 - 3) + -49 + -14?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -208*w**5 + w**4 - 7*w**3 - w**2 - 4*w + 14477?\nAnswer: -12480*w**2 + 24*w - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5490, 5498, 5506, 5514?\n\"Answer: 8*q + 5482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 119.3 - 111. Let h = p + -8.112. Round h to 2 dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 222002?\nAnswer: 222002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -2. Suppose 4*o + 4 = v*o, -2*q = -2*o - 14. What is the tens digit of ((-8)\/q)\/(6\/(-60))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 20 = 2*r, -3*r = -6*a - 30 - 12 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**3 + 5*c**3 + 4*c + 0*c**3 - 13 + 12 as o + y*c**3 + z*c + u*c**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -6. Let y be (-1)\/(39\/21 + a). Let o = y + 3. Solve g - o = -g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 138 and 4094.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9134554?\nAnswer: 2, 11, 13, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20*18\/(-150)*(-45)\/12.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 3:33 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -o**8\/15680 + o**7\/4410 + o**6\/5040 - o**5\/420 - 5*o**4\/6 - 10*o. Let l(f) be the third derivative of r(f). Factor l(m).\nAnswer: -(m - 1)**2*(3*m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 5\/8 (b) 0.3 (c) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5\/2)*c**8)**47 assuming c is positive.\nAnswer: c**(517\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2485864\/7 or 355124?\nAnswer: 355124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005343 to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 6*q**2 + 14*q**2 - 8*q**2 - 87*q**3.\nAnswer: -87*q**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 9 = 0, -5*q + 14*m - 39*m + 23*m + 14 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2992 is divided by 172?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25.36 - -1.14. Let l = g + -21. Let x = l + -5. What is the nearest to 0.1 in x, 2\/3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/5))**(-13\/6)\/(k**(10\/7)\/k*k**(1\/29)))**(30\/7) assuming k is positive.\nAnswer: k**(-181\/1421)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 4*r = -4, -4*r - 11 + 31 = -5*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*g = 9, 1 - 10 = 3*p - g. Let j be (-2)\/4*2 + p\/(-9). Which is the closest to j? (a) -1\/9 (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of 0*k + 7*k**2 - 1\/24*k**4 + 0 + 0*k**3. Let a(n) = 3*n. Give a(y(g)).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4 + -2 + (-6*(-1*sqrt(192) - sqrt(192)) + sqrt(192))*-1))**2.\nAnswer: 4992*sqrt(3) + 129936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -3*n**2\/2 - n + 461. Let k(u) = -u**2 - u - 1. Calculate 3*k(s) - z(s).\nAnswer: -3*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l**2 + 0*l**2 - 3*l**2)*(-3 + 3 + l**2) + (1 + 2 - 1)*(-46*l**4 + 170*l**2 - 170*l**2 - 1) to the form o*l**3 + r*l**4 + q + y*l + w*l**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -11*o**3 + 15*o**2 + 5*o - 7. Let m(z) = -5*z**3 + 7*z**2 + 2*z - 3. Let b be ((-9)\/24)\/((-2)\/(-8))*24\/(-18). Calculate b*q(i) - 5*m(i).\nAnswer: 3*i**3 - 5*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 341*a + 43657. What is x(-128)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1600)*-3)\/(2*sqrt(320)).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilometer in meters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*i - i - 5*i)*(-4 + 4 + 1)*((4*i - i - 5*i)*(-1 + 1 - 1) - 5*i + 4*i + 0*i) in the form g*i**2 + n + a*i and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1968559705390 and -5.\nAnswer: -1968559705395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1921 and 528615017?\nAnswer: 1921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190 = -48*p + 10*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5247924226?\nAnswer: 2, 127, 20661119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((16\/(-448)*356)\/(-5)*-7)\/(1\/(-5))\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f. Let x(v) = 357*v. Calculate n(x(u)).\nAnswer: 357*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of 2*d**2 - 22*d - 1164. What is b(17)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (33\/(-18))\/((7 - 15)\/144). What is the greatest common divisor of 78 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(39\/65)*(-4)\/60*-27?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 7 + 11*a + 3*a + 49*a - 9*a.\nAnswer: 54*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*w - 163 - 29 = 0, -3*a + w = -281. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 4\/3 (b) 4 (c) -9 (d) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, v: 1, h: 1, s: 1, i: 2}. What is prob of sequence vi?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -198400000 to the nearest 1000000.\nAnswer: -198000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50\/7 + -281\/42. Find the common denominator of j and 87*(-2)\/124*1.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 231 + -1156\/5. Suppose 0 = -q + 3*q - 4. What is the nearest to x in 4, 2\/7, q?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*w = -703 - 6185. Solve w = 6*o + 159 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/25 and 23\/90.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-144)*2)\/(2\/(-6)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 65*t**3 + 31*t**2 - 1408*t - 69. Let n(f) = 17*f**3 + 8*f**2 - 352*f - 18. Determine 6*d(i) - 23*n(i).\nAnswer: -i**3 + 2*i**2 - 352*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2 - 8*d - 6. Calculate the smallest common multiple of z(6) and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 1)*(-3*m + 4*m + 53 - 47) as x*m + i and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56 - -59. Suppose -6*w + 2 = 3*s - 7*w, -z*w = 4*s - 20. What is the third derivative of 3*t**3 + 46*t**s + 46*t**2 - 68*t**2 + t**3 wrt t?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzidiiiiiizzedii. Give prob of sequence iei.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2*i + 1 + (0*i - 8*i - 4*i)*(2 + 3 - 7) - 2*i - 5 - 5 + 2 + (-2 + 2 + 2)*(0 - i + 0))*(7 - 7 + 4*i) as p*i + m + o*i**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 14, 38, 62, 86, 110?\n\"Answer: 24*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74963?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181412 is divided by 7555.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {q: 1, p: 12}.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2820 + 2817. What is the biggest value in -4, 5, 3, r, -2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + v + 1. Let k(a) = a**3 + 2*a**2 - 15*a - 9. Let h(m) = -6*d(m) - k(m). Let z be h(-9). Let y(j) = -2 + 0 + 2*j + 0*j - j**2. Calculate y(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (466\/(-7560))\/((-77)\/(-4893)). Let k = g + 1\/3465. Find the common denominator of k and -17\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -13.9979501.\nAnswer: -27.9959002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -15984*h + 16008*h. Sort 195, h, -2, 1, 0.\nAnswer: -2, 0, 1, h, 195","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -46*g - 5244. Give h(-114).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -10*g + w - 143, -82 = g - 4*w. Let a be 5*((-14)\/g + (-12)\/10). Put 4, a, 3, -14 in descending order.\nAnswer: 4, 3, a, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 3:48 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 23\/(-115) - (-34)\/70. What is the nearest to i in 6, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (23 + -22)\/((-2)\/4). Which is the fourth biggest value? (a) -4 (b) g (c) -1\/2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 is divided by (6\/(-4))\/(1\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67 - 7*l**2 + l**2 + 8*l**2 + 15.\nAnswer: 2*l**2 - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*w - 50*w - 115*w)*(3 - 4 - 1).\nAnswer: 382*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 less than -9858?\nAnswer: -9915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**2 - z**2 - 3*z**2 + (-4*z + 2*z + z)*(z - 2 + 2) + 2*z + 5500*z**2 + z - 5497*z**2.\nAnswer: -z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 893*o**4 - 1054 wrt o.\nAnswer: 3572*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**3 + o**2 + o - 1. Suppose -3*i + 2*t = i - 10, 4*t + 16 = 4*i. Let w be g(i). Put -3, w, -7 in increasing order.\nAnswer: -7, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 279\/(-341)*(-77)\/(-21)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -258464405 divided by -51692881?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 4 = -5*y. Suppose 0 = -4*l - s + 20, -2*s - 14 = -2*l + 6. Find the third derivative of a**2 + a**4 + 2*a**5 - a**y - l*a**5 wrt a.\nAnswer: -240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/5 - 139*u**3\/5 - 646*u**2\/5 + 3216*u\/5.\nAnswer: -u*(u - 3)*(u + 8)*(u + 134)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 64.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, a: 3, p: 3, v: 1}. What is prob of sequence mpa?\nAnswer: 3\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 606423.\nAnswer: 3, 19, 10639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*q + 1024352 - 2310285 = 1949948. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*h + 25, 3*h + 3 = 5*y - 7. Suppose 222 = -y*o + 7*o. Suppose -4*r + 157 + o = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 + 43.8. Let p = -119\/3 - -39. What is the biggest value in h, -15, p, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u**4 - 2*u**4 + u**4)*(-2 + 1 + 0 + (-4 + 2 - 4)*(0 - 1 + 0)) in the form t*u + y*u**4 + f*u**2 + l + b*u**3 and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 7:53 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((2*(sqrt(2736) + sqrt(2736) + 0))**2 - (sqrt(2736)*-1 + -4)**2) + (sqrt(2736)*2 + 5 + sqrt(2736) + (sqrt(2736) + 2 + sqrt(2736))*5)**2)*-2.\nAnswer: -1007270 - 9168*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -2. Suppose 35 = -c*z + 7*z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2692 to two dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u + 143 = -370. Let d = 59 + u. Solve -i - d = -5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 70\/420 + 542\/(-24)*-22. Let o = -244 + k. Is 20 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -206*c**3*o*z - 6*c**3*z - 10*c**2*o*z + 5*z wrt o.\nAnswer: -206*c**3*z - 10*c**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -109.775 - -626.674. Let c = 519.8 - h. Let i = c + -3. Round i to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -73*l. Let s(u) = 522*u - 396. Let b(o) = -21*o + 16. Let g(h) = 99*b(h) + 4*s(h). What is r(g(w))?\nAnswer: -657*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -491279467 + 0.3.\nAnswer: -491279466.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -h - 4*h. Let b(g) = -17*g**3 - 12*g**2 - 5*g + 10. Let o(w) = 31*w**3 + 23*w**2 + 9*w - 19. Let s(i) = 11*b(i) + 6*o(i). What is s(h)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380311793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 949a5 + -5?\nAnswer: 949a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15.059 - 14.98477. What is j rounded to 3 dps?\nAnswer: 0.074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - a**2 + 2*a. Let p be c(1). Sort p, 0, 6, -1 in decreasing order.\nAnswer: 6, p, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v - 6. Let n be m(-10). Suppose -n*l = -19*l - 20. Which is the second smallest value? (a) 2\/7 (b) l (c) -9 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z - 3*z + 0*z)*(z - 3*z + 4*z) + 9 - 9 + 4*z - 2*z**2 to the form b*z + q + u*z**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**2 - 4*c**4 + 6*c**3 + 15*c - 5*c - 2*c**3 + 141 - 2*c**4 - 12*c to l*c**2 + u + o*c + p*c**4 + b*c**3 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2.1 (b) 0.4 (c) 3 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -71, -180, -365, -644, -1035?\nAnswer: -1556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 6*b**2 + 5*b. Suppose 3*g - z = -10, 2*z + 2 - 4 = -3*g. Let w = g - -6. Calculate v(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 412913958 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - 0 - 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1900) + 0)*-2)**2 - (sqrt(76)*-1*2)\/(2*sqrt(16)\/sqrt(4)).\nAnswer: sqrt(19) + 30400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2868 is divided by 1419?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-11 + 14 - 17)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*c - 32*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1043592.49 rounded to the nearest one thousand?\nAnswer: -1044000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -23, -0.4, 0.4, -1.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2976593 a multiple of 289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 534251?\nAnswer: 107, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-7) + 5634\/(-21). Suppose 5*h + 701 = -q, -2*q + 280 + 292 = -4*h. Let i = h - u. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -159, -156, -153, -150, -147?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 18*u = 12. Find the second derivative of 5*r**3 - 7*r - 3 - u*r**3 + 3 wrt r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.76 in -2.73, -0.1, -4, 8, 4\/5, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 737140 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 15*o**2 - 23*o + 240. What is k(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + sqrt(242))*-4)**2 - (4*(0 + sqrt(242)) - 4*(2*sqrt(242) - sqrt(242)))**2 - (-4 + -5*(-1 + sqrt(242) + -1 + -3))**2.\nAnswer: -2603 + 1958*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/6)\/((-2)\/(-8)). Suppose 7*t = t + 72. Calculate the highest common factor of n and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 409 and 4.513576071.\nAnswer: 413.513576071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.2 + -12.6. Which is smaller: -3 or r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2296 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y**3 + y + 3. Calculate a(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of 0*x + 5\/24*x**4 - 2\/3*x**3 + 0 + x**2. Let c(t) = 4*t - 3. Suppose 0*u + 5*u - 20 = 0. Determine u*c(k) - 3*z(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-960)\/192)\/(10\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 5*y - 5. Let k(b) = -3*b**3 + 12*b + 12. Suppose -5*t - 22 = 38. Calculate t*f(w) - 5*k(w).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w + 1 + 0*w + w + 11. Let z be b(-8). Calculate the remainder when 19 is divided by z\/4 + (-24)\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40.5 + -45.5. Put 0, -10\/11, -0.5, o in decreasing order.\nAnswer: 0, -0.5, -10\/11, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8216195?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 113944, 116506, 119068, 121630, 124192, 126754?\n\"Answer: 2562*o + 111382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + 899867\nAnswer: 899866.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.949261 rounded to zero dps?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7597 divided by 75330\nAnswer: 7597\/75330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -2*b**3\/3 - 3*b**2\/2 + 3*b + 1. Let r be s(1). Let j be (-1)\/(0\/(-2) + 1). Sort 4, j, r in increasing order.\nAnswer: r, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 513031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63*0.07018.\nAnswer: 4.42134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 20, 28, 28, 14, -20, -80, -172?\nAnswer: -302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 497*z + 11. Give j(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44\/129 - -8654\/12513. Which is bigger: 0.2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-936)\/57)\/(-4) + 526\/(-4997)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -723*b**6 + 128*b**2?\nAnswer: -86760*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 + 32 - 88)*(3*o - 3*o + o**4).\nAnswer: -94*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 4*n - 9. Suppose -5 = -2*f - n. Solve -o = f + 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -7\/2. Let q = -8 + 11. Let y = q - 3.5. What is the closest to h in y, -2, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -65 + 65. Factor 1\/6*z**4 - 1\/3*z**3 + 0*z + 1\/6*z**2 + x.\nAnswer: z**2*(z - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1139 from 0.4.\nAnswer: -1138.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-2) + 671964\/24. What is g rounded to the nearest 1000?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1016044*p**2*u**2 + 1091685*u**2 - 3 wrt p?\nAnswer: 2032088*p*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 13 = 2*j, 0 = 5*j - 0*y + 3*y + 14. Let t = j - -2. Let g be (3\/(-3))\/(t\/(-13)). Solve 4*b - 7 = g for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1216098496?\nAnswer: 2, 19, 1000081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 7*n**2 + 3*n - 17. Suppose -4*w - 5*p + 20 = -18, -w - 4*p + 15 = 0. Let r = 44 - 25. What is the remainder when r is divided by g(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 107, -2\/7, 4 in ascending order.\nAnswer: -2\/7, 4, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**2 - 2*r**4 + 1 + 56*r + r**2 - 22*r + 18*r**3 - 26*r as o + y*r + l*r**2 + n*r**3 + u*r**4 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*p**2 + 32*p**2 - 30*p**2 + (-52*p**2 - 63*p**2 + 15*p**2)*(1 + 1 - 1).\nAnswer: -72*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (20\/4 + 108)*5.\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4064 + -3832. Let x(m) = m**3 - 6*m**2 - m - 3. Calculate the remainder when t is divided by x(7).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-2*sqrt(209) + sqrt(209))*6 + 2*sqrt(209)*3)\/(sqrt(33)\/(sqrt(21)\/sqrt(28))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 3*i + 2 + (-3 + 5 - 4)*(0*i - 2*i + i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*s**2 - s**2 + 3 + 14*s**2 - 74*s**3 - 15*s**2 - 6*s**2 to t*s + c*s**2 + m + n*s**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -10*k - 2. Let b(d) = 33*d + 9. Let o(m) = -b(m) - 5*x(m). Let n(z) = z. Give 3*n(q) - o(q).\nAnswer: -14*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a century in months?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16561 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 209 (b) -3 (c) 0.4 (d) 4 (e) 0 (f) -7\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -986\/35 + 138\/5. Let i = -0.21 + 0.11. Let o = 0.6 + i. Which is the closest to 2? (a) 0.4 (b) o (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 8\/9*x**5 - 2\/9*x**3 - 2\/3*x + 14\/9*x**4 - 14\/9*x**2 + 0 = 0.\nAnswer: -1, -3\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -46714 - 731?\nAnswer: -47645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(8\/5)*o)\/(o*o\/(o*o\/(o\/(o*o**(-16)\/o*o)*o)*o))*(o**(1\/9)*o)**24 assuming o is positive.\nAnswer: o**(166\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/261)\/((-76)\/684)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a**2 - a - 2. Let m(c) = -21*c**2 - 6*c - 11. Let p = 231 - 132. Let h = p - 97. Determine h*m(y) - 11*l(y).\nAnswer: 2*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, e: 2, z: 4, x: 8}. What is prob of sequence jxej?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**2 - 3*k**2 - 4*k**3 + (-k + k - k + (-4 + 2 + 0)*(0*k - 2*k + k) + k - 3*k - k)*(-k + k + 3*k**2) to m*k**3 + h*k**2 + z*k + y and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c - 4. Let u = 194 + -113. Suppose -4*h + u = -119. What is the smallest common multiple of h and y(4)?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17127 + 33457. What is the ten thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13181954*h - 126*h**2 + 13181954*h.\nAnswer: -126*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 67426 and 51.7.\nAnswer: 3485924.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-115)\/(-25))\/(((-471)\/7850)\/((-9)\/(-15))).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/12 + 80\/12. Sort -4, 0, 17, g in ascending order.\nAnswer: -4, 0, g, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0373 and 7?\nAnswer: -0.2611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 3*y + 6369000. What is y rounded to the nearest 100000?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f - 38. Suppose -2*o - 3 = j + 38, -5*j = -4*o + 205. Let k be a(j). Solve -3*c + 31 = k*q + 2*c, -20 = -4*c for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/6 or -17.377?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 - -38. Let m(t) be the first derivative of t**2\/2 - 3. Let n be m(5). Solve -5*j + o*a - 9 = 0, -n*a + 12 = -4*j - a for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 388578 and 46.\nAnswer: 388624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 149, 313, 479, 647, 817, 989?\n\"Answer: d**2 + 161*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2650 or 2641?\nAnswer: 2650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6\/281 (b) -4 (c) 1 (d) 3\/4 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/(-1) + (10 - -11 - -1676) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11*3 + (15 - 20). Are g and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -3. Suppose -o = r, -i*o + 3*r = 5*r - 2. Suppose -o*j + 5*j = 51. What is the remainder when j is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0*k + 4 - 4*k - 3*k wrt k?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-74))\/(-490*(-95)\/18620).\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 338.\nAnswer: -1\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**3 - 295*g**2 + 6224*g + 287040 = 0 for g.\nAnswer: -312, -23, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 25 = -5*i, 5*x + 56*i - 13 = 57*i for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3462*o**3 + 3262*o**3 + 27782 - 27782.\nAnswer: -200*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339*u**2 - 137*u**2 + 270*u**2.\nAnswer: 472*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 281.3 and -0.053.\nAnswer: -14.9089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 z when four letters picked without replacement from cziiiiizzicciiiz?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -1607*l - 62. What is the tens digit of c(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2476310308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327 is divided by 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(784\/(-12))*36\/(-9).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -760 or -3878?\nAnswer: -760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 41 = 2*o - 783, 2*j - 2*o = 324. Find the first derivative of q**2 + j*q - 18 - 164*q - 32*q**3 wrt q.\nAnswer: -96*q**2 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 1)*(-60)\/30?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -180973.3 to the nearest ten thousand.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 5)*(-9 + 9 + 5*a - 2*a - 3 + 3 + (4 + 1 - 4)*(-a - a + 0*a) - 3355*a + 1 + 1448*a + 1617*a).\nAnswer: -289*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jgee when four letters picked without replacement from eqeeqjeeegqmygeej.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4*z - 1 - 2, -3*u + 5*z = 0. Put -5, -1, u, -4 in decreasing order.\nAnswer: u, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*j**2 - 1\/2 - 13\/2*j.\nAnswer: (j - 1)*(14*j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*f**3 - f**2 + 8*f**3 + 5*f + 9*f to the form v*f**3 + i*f + k*f**2 + m and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*k - 17 + 17)*(-31 + 2*k + 31 + 4*k**2)*(2*k**2 - 2*k**2 + 3*k**2).\nAnswer: -96*k**5 - 48*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 12:13 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o\/o**(2\/91)*o))\/o)\/o)**(-24) assuming o is positive.\nAnswer: o**(8688\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-25080)\/108)\/((-6)\/342). Let q = i + -275666\/21. Solve -64\/7*b**3 - 4096\/7*b + q*b**2 + 2\/7*b**4 + 8192\/7 = 0 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.5 (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9880 and 1482.\nAnswer: 29640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 - 2*l**2 + l**2)*(676 + 1267 + 709) - l + l**2 + l.\nAnswer: -2651*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 45 = -4*h, 25 + 19 = -2*p + 2*h. Let f = 60 - p. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.927824 years to centuries.\nAnswer: 0.09927824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.0860642 rounded to 3 decimal places?\nAnswer: -46.086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 89*c**2 + 2615 + 257*c**2 - 2621 in the form l*c + u*c**2 + m and give u.\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 807 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17b (base 15) to base 11.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -6*m - 3821. Let n(g) = 5*g + 3835. Calculate 4*h(w) + 5*n(w).\nAnswer: w + 3891","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 3, i: 12}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1927 and 1107?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -31872852 divided by 160974?\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**2 - 36*x - 2. Let o be d(-7). Let m = o + -147. Let j be (-22 - 2)*2\/(-4). Solve -4*u - s = 3*s - j, -3 = -m*u - 2*s for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004672098 to 6 decimal places.\nAnswer: 0.004672","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -339 - -839. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3748*u = 3759*u - 24244. What is the thousands digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -151.0525379 to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/96*111 + 21?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -0.22, -1\/21, 2, 0.1.\nAnswer: -0.22, -1\/21, 0.1, 2, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**5 + 69*j**4 + 10425*j**3 + 601*j**2 - 9*j + 169 wrt j?\nAnswer: -120*j**2 + 1656*j + 62550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*s + 4*s**3 + 98*s - 47*s.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v - 1. Let c(g) = 16*g - 135. Let a(r) = -c(r) - 6*p(r). What is the remainder when -2*(-2)\/4 + 75 is divided by a(-16)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -17 + -5 + 4 - (-3 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of x**4\/4 - 2*x**3 - x**2 + 4*x - 65. Determine w(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137561*m + 136615*m + 62436 = 0 for m.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7279, 8051, 8819, 9583, 10343, 11099, 11851?\n\"Answer: -2*h**2 + 778*h + 6503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 8, r: 2, x: 2, i: 2}. Give prob of sequence rix.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 11*d**2 - 9*d - 10. Let s be m(10). Sort 4, 1, s in decreasing order.\nAnswer: 4, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (-13 - (-15 + 2 - -17))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.799354nm to micrometers.\nAnswer: 0.003799354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 489420 is divided by 2458?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*d + 19*d - d**2)*(-d - d + 4*d) - d**3 + 0*d**3 - 1 + 2*d**3.\nAnswer: -d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 366877 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 4:20 AM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-60))\/((-9)\/5)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-3\/19)\/u**(-14) assuming u is positive.\nAnswer: u**(263\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -108, -17, 46, 75, 64, 7, -102, -269?\n\"Answer: -n**3 - 8*n**2 + 122*n - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -19. Which is smaller: -1\/3 or u?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76\/585 - 6\/65. Let b = 7 + -7.3. Let q = 37 - 256\/7. What is the closest to -2\/5 in u, b, q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 177 + 47 = 0. Let p(t) = t**3 + 4*t**2 - 4*t - 2. Calculate the remainder when u is divided by p(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 72592, 72540, 72458, 72346, 72204?\n\"Answer: -15*q**2 - 7*q + 72614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 539 + 1485 - 1595*s**3 - 339 - 476 + 1528 wrt s.\nAnswer: -4785*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 9*a + 23 = -6*a, -i = -5*a + 23. Solve -i*h = 6*h + 24 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 391 (base 14) to base 5\nAnswer: 10330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.15, -5, 0, -196, -4, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - (-104)\/48)*-6. Let i = 0.1 - 0.5. Which is the second biggest value? (a) z (b) 0.6 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5214 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -9*c**2. Suppose -4*d + 4 = -4*i - 4, 4*d + 5*i = 26. Let w(q) be the third derivative of 0*q + 1\/12*q**d + 0*q**3 + 0 - 7*q**2. Give w(o(x)).\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -123*f**3*w**2 + 201701*f**3 + 2*f**2*w**2 wrt w?\nAnswer: -246*f**3*w + 4*f**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -48422 + -127?\nAnswer: -48549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 210aa51 (base 11) to base 2\nAnswer: 1110001011111001011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 171187798 or 171187793?\nAnswer: 171187793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3 + sqrt(33)\/sqrt(3))**2.\nAnswer: -6*sqrt(11) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t**2 + 3*t**2 - 3*t**2)*(-t + 1 - 1)*(3*t + 37*t - 8*t) to the form r*t**4 + j*t**3 + m*t + f*t**2 + o and give r.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 + 1)*(-4*b + 11*b + 6*b)*(-2*b + 1 - 1) to the form q + l*b + o*b**2 and give o.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2 + 17*f - 6. Let j be q(-9). Let r(x) be the second derivative of -3\/8*x**4 + 0 + 0*x**j + 0*x**2 + 3\/40*x**5 - 3*x. Factor r(p).\nAnswer: 3*p**2*(p - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 223 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4540488 nanometers in micrometers?\nAnswer: 0.0004540488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-21) - 22\/7*-5. What is the greatest common factor of f and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -27. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3537*z + 1228*z - 507620 = -2700*z for z.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-10))\/(-10*(-15)\/125)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = 4*k + k + 5*g, 3*g - 27 = -k. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19.035 - 19. Let j = d + 18.965. Which is the nearest to -1\/2? (a) 2\/3 (b) j (c) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3. Let t(f) be the third derivative of f**4\/24 - f**3\/6 - f**2. Let b(c) = 3*t(c) - y(c). Let k(r) = -2*r. Give b(k(m)).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 695 = -0*k + 5*k. Differentiate 65 - 8*u**4 + 75 - k with respect to u.\nAnswer: -32*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.3 * -584.41\nAnswer: -1344.143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 36.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rzrzzrzyrzyr?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001212100022112 + -100?\nAnswer: -1001212100022212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/60*145\/2. Suppose -22*j = -v*j + 112. Let r = 143 + -82. What is the remainder when r is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -24586 - 856?\nAnswer: -2510c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5944560 divided by 8432.\nAnswer: -705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1306 and -0.4?\nAnswer: 0.05224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 + 2*m**2 + (m**2 + 3 - 3)*(0 + 1 + 0) + (4*m + m - 3*m)*(-m - 3*m + m) - 5*m**2 - 76*m + 76*m in the form u*m + w*m**2 + t and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1826290?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 8*b**2 - 6*b - 4. Let x(r) = -r**3 - 11*r**2 + 6*r + 5. Let c(m) = -4*v(m) - 3*x(m). Let q(t) = -t**2 - 1. Calculate -c(d) - q(d).\nAnswer: d**3 - 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*j**4 + 19*j**3 + 315*j**2 wrt j?\nAnswer: 96*j + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 22 = -118. Let p be 18\/(-9) + 5\/((-5)\/(-196)). Let f = p + o. Is f a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21623732 or -1\/6?\nAnswer: -21623732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - w + 3, 2 = y - 3*w. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202010221 (base 3) in base 7?\nAnswer: 60550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2. Let l(i) = -9*i + 7. Calculate t(l(y)).\nAnswer: 81*y**2 - 126*y + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -12. What is the units digit of (-40)\/12*(-12)\/p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 2\/3 (c) -3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*n - 210 = -128*n. Calculate the least common multiple of n and 63.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 854 = -101*u - 560 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*j = 460, 9*j - 10*j = -4*a + 452. Solve 43*o - a - 60 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -9*p - 231. Let l be t(-26). Suppose -3*i + 1 = l*h - h, 5*h - 9 = -i. Solve h*f - 2*z = -2*f + 14, -3*f + 15 = -3*z for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -646 or -528?\nAnswer: -646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/(-40)*(-375)\/(-75).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 12 (b) 468 (c) -14\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 10*r. Let m = 6 - 5. What is the tens digit of f(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.14*-0.1.\nAnswer: 0.214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9413? (a) 3 (b) -33 (c) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 714 + -404. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/4*(-2 + 36). Suppose 4*z + 3*m + 21 + 3 = 0, -2*z + 4*m = 12. Let n = u + z. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 13463.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51860 - 27531. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*c + 9*c + 20*c + 3 + 8*c + 2*c.\nAnswer: 9*c + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 36 = -4*z - 0*z, z + 2*h = 12. Sort -2, z, -5, 5.\nAnswer: -5, -2, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 4*q**2 - 24*q - 6. Let t be j(-7). Does 17 divide (-3)\/t - (-2)\/((-40)\/(-2684))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*h + 17*h + 2 - 36*h - 202*h**2 - 179*h**2.\nAnswer: -381*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 2*a + 13 = 3*a + 20, 17*i - 137 = -15*i + 3*a for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 6 = -6*o. Let x = 5 + o. Solve 0 = -0*i - x*i + 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18974 times 316?\nAnswer: -5995784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.6 (b) 3 (c) 4 (d) 265\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*n + 16 = 0, -3*j = 2*j + 2*n + 18. Let v be (-5 - j)\/(12\/(-8)). Let o be v\/(-1)*6\/18. What is the nearest to -1\/3 in o, 0.3, 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j - 2*j + j + (378 - 170 + 240)*(-j + 0*j + 4*j).\nAnswer: 1342*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**5 + 910*v**4 + 41405*v**3.\nAnswer: 5*v**3*(v + 91)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrrlill. Give prob of sequence il.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w, -5*d - 187*w + 10 = -185*w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 28, 66, 124, 208, 324?\nAnswer: 478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of k**4\/24 + 9*k**2 + 1. Let v = -5 + 8. What is g(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n - 4*n + 28*n)*(2*n + 3 - 3) - 476*n**2 - 32 - 850*n**2 + 54 - 22 - 616*n**2 as r + q*n**2 + g*n and give q.\nAnswer: -1898","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o + 11. Let t be v(-6). Let q = t - -5. What is the lowest common multiple of 4 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 2:41 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (7 - (4 - 4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7602 and 504.\nAnswer: 91224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/36)\/(10\/(-6))*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1064, -4237, -9500, -16835, -26224, -37649, -51092?\n\"Answer: 3*i**3 - 1063*i**2 - 5*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence obo when three letters picked without replacement from {a: 1, o: 5, b: 1, r: 4}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s\/(s*s**(-2\/15))*s)*s**2\/s)\/((s**(1\/10)\/s)\/(s**(-2)\/s))*(s**(-2\/5)\/s*s*s**(-3\/13)*s)**(-11) assuming s is positive.\nAnswer: s**(-335\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -53127 + 0?\nAnswer: -53127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus -0.355?\nAnswer: 1.355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 19, -2, 11, 77 in descending order.\nAnswer: 77, 19, 11, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 52\/(-20) + (-6)\/(-10). Let n = c - -21. Let o = -3 + n. Is 8 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*y - 4*y. Let h be (-4)\/y - 2230\/1190. Let t = -473\/255 - h. Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 778 = 3938. Let j be u\/756 + 4\/(-18). Let v = j + -409\/28. Calculate the common denominator of v and 35\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 89 + -49. Let g = y - 80. Round g to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10508 and 14?\nAnswer: 73556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 344*y + 20596. Determine i(-52).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 504540099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -9. Let z be y\/(-11) - (-72)\/(-33). Is (-15)\/z*(-20)\/(-25) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 14*c + 27 + 25 + 27 - 75.\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*b + 47*b + 14*b**2 to the form i*b + v*b**2 + z and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2865 and 191730?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 369?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 2*x - 28 = 2*x, 10 = -2*x for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -441053 - -5107?\nAnswer: -433744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 1 = 5*y - 17, -5*k + 10 = 5*y. Suppose -4 = -2*p + 3*p. Let l = y - p. What is the greatest common factor of l and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30850 divided by -6170\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6199983, 12399955, 18599925, 24799893, 30999859, 37199823, 43399785?\n\"Answer: -q**2 + 6199975*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 22*n - 1631. Calculate w(15).\nAnswer: -1301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iph when three letters picked without replacement from huuiktphi.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5072567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 16974.\nAnswer: 118818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of d**4\/4 + d**2\/2 + 2*d - 257. Suppose 5*i = -i + 12. Suppose 0*f = i*f + 4. Determine o(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -792\nAnswer: -3168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 4*i**3 + 6150*i**2 - 3*i**4 + 2 - i + i**4 - 6149*i**2 as u*i**3 + d*i**2 + b*i + g*i**4 + o and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 7*c**2 + 1. Let m = -2 - 5. Let h be p(m). Is (29 - 3) + -2 + h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(880)*1)\/(-4*(-2*sqrt(11) + sqrt(11))).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of 13\/6*f**3 + 0*f**2 + 0 - 3*f. Is v(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367798 to the power of 1\/2, to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + ((-31)\/186 - (-406)\/(-156)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*i**3 - 498 + 498 + 6*i)*(3*i + i - 2*i) as b*i**2 + t*i + v*i**3 + d + a*i**4 and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -227 - 25. Suppose b - 2*p = -3*p + 12, -b + 3*p + 12 = 0. Calculate the highest common divisor of b and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -135, -103, -75, -51, -31, -15?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**4*j**2 - 300*i**4 + i**2*j**2 - 45*j**2 wrt i.\nAnswer: 48*i*j**2 - 7200*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - -1 - (-10 - -10). Suppose -2*j + s*x + 7 = -1, 4*j - x = 16. Let t be 2 + 56\/(j - 0). Solve -2*o + 3*o + 4 = -n, n = -4*o - t for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 112*a**3*o**2*p**3 - 12*a**3*p**2 - 11*a**2*o**2 - 5*a*o**2*p**3 + 3*p**2 wrt p.\nAnswer: 672*a**3*o**2 - 30*a*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2447745 divided by 493\nAnswer: 4965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1458953128?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 326278 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.4 - -955?\nAnswer: 959.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3 + 2*z - 4 - 4*z + 5*z. What are the prime factors of k(8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 972 - 244. Is 24 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 - 630*l**2 - 1275*l - 640.\nAnswer: 5*(l - 128)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 339178 - -504825. Suppose v - 2*i = -210994, -i - x = 3*v + v. Round v to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 1. Let d be (0\/(-2 + f))\/(-1). Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2 - 9*l + 1. Let a(r) = -2*r**2 - 8*r + 2. Let d(x) = 5*a(x) - 6*j(x). Let o be d(9). What is the highest common factor of o and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -95729 - -191479\/2. Solve m + 3\/4*t**2 + 45\/4*t = 0 for t.\nAnswer: -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -10 + 4. Let a = 2 - m. Suppose 9*i - 4*i - 4*q - 100 = a, -5*q = -2*i + 57. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1561\/105 - 8 - 7.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.5300698 times -3?\nAnswer: -16.5902094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50273.0032599 - 50273. What is o rounded to 5 decimal places?\nAnswer: 0.00326","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((224\/(-294))\/(-8))\/(2\/6). Which is the third smallest value? (a) -0.22 (b) v (c) 2\/5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*s - 9 - 232*s**4 + 5 + 234*s**4 in the form q*s + i*s**4 + k*s**3 + h + r*s**2 and give q.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 15 = 6. Let x be (o\/(-2))\/(-9)*0. Find t such that x*t + 0 + 1\/3*t**2 - 1\/3*t**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 8*n + 4. Suppose -24 = -3*r - 3*f, -2*r = f - 3 - 10. Let y be u(r). Let b = y + -23. Is 14 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -67956, -27 in decreasing order.\nAnswer: -10, -27, -67956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a centimeter in micrometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/4123 and 103\/30650.\nAnswer: 126369950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 641*t**2 + 8 - 4 - 597*t**2.\nAnswer: 44*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f - 6. Let g be v(-6). Suppose 319 = -2*n + 5*d, 0 = -5*d - 5 - g. What is n rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 2*p = -7*i + 25, -136*p = 29*i - 131*p - 112 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267784145 is divided by 6124.\nAnswer: 6121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -4125000 to the nearest 100000.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 897 and 0.4.\nAnswer: 358.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*y - 754 = -7792 + 2636 for y.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 320 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*z**4 - 382*z**2 + 2602 wrt z?\nAnswer: 16*z**3 - 764*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = m - 45. Suppose -2*i + 9 = -m. Does 5 divide i\/(-12) + (-46)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-115)\/(-10))\/((-1750)\/(-910)) - 6?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3701*i**3 - 28*i**2 + 9*i - 12. Is s(2) a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 5*m - 10. Let k be n(7). Suppose k = -0*s + 2*s. What is the remainder when 39 is divided by 63\/6 + s\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/2 of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 44*k**2 + 229*k - 1112. What is t(-37)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 5*u**2 + u. Suppose -130*l = -127*l + 4*n - 9, 4*n - 14 = 2*l. Calculate r(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*a + 0 - 2 = 0, 0 = 5*a - 25. Let m(h) = h**3 + 22*h**2 + 12. What is the remainder when 42 is divided by m(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0574 + -3.4174. Let v = 3.66 + m. What is the biggest value in 1\/4, 0.4, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -1\/8 (c) 41.574 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4436 - 4429. Solve 15 = -y*v + 8 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g**2 + 3*g**2 - 2*g**2)*(-3*g + 4*g + 3*g) + g + g**3 - g + 22*g - 15*g**3 - 22*g in the form z*g**2 + p*g + n + c*g**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12052225 divided by 5\nAnswer: -2410445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -160*u - 41. Suppose 2*p - 6*p - 76 = 0. Is y(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w**2 + w - 2. Let h(y) = -28*y**2 - 2*y - 10. What is h(p) - 5*t(p)?\nAnswer: -8*p**2 - 7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 - 8 = -2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2850 divided by -475\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/2)\/n)**(17\/6) assuming n is positive.\nAnswer: n**(17\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (0 + (sqrt(125) + 1)*4 + 4 + -2)**2 + 3.\nAnswer: 240*sqrt(5) + 2037","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 871 and 1534.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence evij when four letters picked without replacement from {i: 4, v: 6, j: 7, e: 1}?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 32116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v**4 + 1465*v**3 - 1114*v**2 - 3236*v - 648 = 0.\nAnswer: -1, -2\/9, 2, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, -8, -54, -140, -278, -480, -758, -1124?\nAnswer: -1590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 192 = k, 2*n - 5*k - 56 = 10. Suppose n - 2 = 2*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20324197 and 27387?\nAnswer: 3043","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4466381?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44 + 9\/(6\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) - sqrt(12)) + 4 + -5)**2.\nAnswer: -8*sqrt(3) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 - 4*q + 2. Let c(o) = -2*o**2 + 23*o - 7. Let s(r) = -3*r**2 + 53*r - 15. Let w(h) = -5*c(h) + 2*s(h). Give 2*w(y) - 5*z(y).\nAnswer: -2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -920*z = -904*z + 112 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1.06*106621\nAnswer: 113018.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-12)*84\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 w when four letters picked without replacement from illwwwldwdrwwwllill?\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/3 + 5331032*m**2\/3 + 5331034*m\/3.\nAnswer: -2*m*(m - 2665517)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*b + 92 = 0, -4*x + 104 = -7*x + b. Let w = 42 + x. Let o be 8*(-7 - w\/(-2)). Do 1\/3 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8\/5, 9, -28, 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-6)*-8 - -12. Calculate the highest common divisor of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6491, 10508, 14549, 18626, 22751, 26936, 31193?\n\"Answer: 2*w**3 + 4003*w + 2486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 12*r**3 - 6*r**2 - 6*r - 5. Let p be l(5). Find the third derivative of u**6 - 5*u**6 + p*u**2 - 1327*u**2 wrt u.\nAnswer: -480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 a factor of 7327200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -164.68 + 1.68. Let d = 162.99999647 + f. Round d to seven decimal places.\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -1\/180*a**6 + 1\/90*a**5 - 5*a**2 + 0*a + 1\/72*a**4 - 1\/18*a**3 + 1\/1008*a**8 - 1\/630*a**7 + 0. Factor x(q).\nAnswer: (q - 1)**3*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -304452 and -304453 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 3*t = -2*t + 90, a - 2*a - 43*t + 1024 = 83 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2. Let a(o) be the first derivative of 0*o + 0*o**2 - 8 + 28\/3*o**3. Determine m(a(n)).\nAnswer: -1568*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*d + 127 = 60*d - 41 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*(1*sqrt(700))**2*-3 - (((sqrt(700) + -1)*6*4)**2 + -2)) + 5.\nAnswer: -399573 + 11520*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1188261.52 less than 0.05?\nAnswer: -1188261.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25564035 and 126?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 116 + 44 = 0. Let q = -16 + i. Suppose -4*f + 0*f - f = q. Solve p - 3 + 6 = f for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(19) - sqrt(76)\/sqrt(4)) + 4 + (sqrt(304) - (sqrt(304) - sqrt(304)*1))**2 + 5.\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 467, 492, 519, 548, 579, 612?\n\"Answer: o**2 + 22*o + 444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(128) - sqrt(128))*6.\nAnswer: -288*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -7.08. Let a = -1.92 + f. What is the closest to -2\/3 in a, -3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**3 + 12*p**2 + 3*p. Let l(m) = m**3 + m**2 - 1. Let f(z) = -2*l(z) + n(z). What is the tens digit of f(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-15 - (-633)\/42)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4*y = -0 - 8, 4*y = -4. Let x be 8\/(7 + -3)*(15 - t). Solve 3*h = 4*c + 31, -c = 2*c - 4*h + x for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -202)*1\/3. Solve w*n + 17*n = 168 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08279 rounded to 3 dps?\nAnswer: 0.083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/30 and (3\/18)\/(2 + (-168)\/87).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -33*f - 12 + 111*f - 25 - 17*f**3. Differentiate o(s) with respect to s.\nAnswer: -102*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1100202 + -12?\nAnswer: 1100120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10110 (base 5) to base 9\nAnswer: -807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -29*g. Let l(k) = -46*k + 4. Let a(r) = -1386*r + 121. Let c(m) = -4*a(m) + 121*l(m). Determine c(s(w)).\nAnswer: 638*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w**2. Let j(h) be the third derivative of -113*h**5\/60 - h**4\/24 + 7*h**2 - 192*h. Calculate g(j(i)).\nAnswer: 38307*i**4 + 678*i**3 + 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 31*w = -192 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1730961?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10025066239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/236651 and -88\/1869.\nAnswer: 4969671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 43960043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3739, -7482, -11225, -14968?\nAnswer: -18711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-21)\/12)\/(-7)*(-182)\/(-91))\/(17\/238)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.050836 to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of a**8\/56 + a**5\/60 + 4*a**2 - 1. Let j(c) be the second derivative of n(c). What is the third derivative of j(p) wrt p?\nAnswer: 360*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 3*b + 0*b)*(-3 + 2 - 1)*(4*b - 10*b - 3*b)*(799 - 691 - 346).\nAnswer: 12852*b**2 + 8568*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9380460 - 2?\nAnswer: 9380458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9001926\/857 + 10504. Let n be (3 + -3)\/(-8) + 0. Does n = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1722*q**3*r + 3393*q**2*r**3 + q**2 + 29048*q*r**3 + 625*q*r**2 wrt q?\nAnswer: -10332*q*r + 6786*r**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 113771509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 - 3)\/(-1 + -1). Suppose -v*a + 0*a - 31 = -2*h, 5*h + 5 = -4*a. Suppose h*j + j - 32 = 0. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226*u = -168*u + 60*u. Put 4, -23, u, -3 in decreasing order.\nAnswer: 4, u, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -305, -576, -847, -1118, -1389?\nAnswer: -1660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -7) + (4 - 9)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 31 + (1789 - 1768) + (-27 - -2) + 2\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 - -44 - (-1 - -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 21 = -3*y - 125, 16 = -4*y. Let u = 409 - 179. What is the highest common divisor of u and b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -6.68, 4\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**5 + 3*n**3 + n + 1. Let m(y) = 4*y**5 + 35*y**4 + 27*y**3 - y - 1. Let q(c) = -b(c) - m(c). Factor q(t).\nAnswer: -5*t**3*(t + 1)*(t + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/138*2*315\/24360*58.\nAnswer: -1\/92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/140378656 and 101\/110.\nAnswer: 701893280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.12 bigger than -79198.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219 + 219 - 249*y**2 + 244*y**2.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 5 (b) 0.03 (c) 3928146\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 10*z + 8. Determine v(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/9, -3918, -2?\nAnswer: -3918","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -70926 divided by -70926\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85064, -84596, -84128, -83660?\nAnswer: -83192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31497\/8 - 3932. What is the common denominator of 43\/16 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2117 is divided by 214.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 5 + -11 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 12 (c) -2\/27 (d) 5 (e) -0.479 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -515, 0.5, -0.2 in increasing order.\nAnswer: -515, -0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10 * -13\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.9 + 2. Let h = -294.9 - -311. Let u = 16 - h. Put g, 1, u in descending order.\nAnswer: 1, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a**3 - 1031*a**2\/3 = 0 for a.\nAnswer: -1031\/30, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-3 + (2 - (-1 - 0)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: -548342783 - -0.2\nAnswer: -548342782.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (140\/(-12))\/1*9. Let b = t - -229. What are the prime factors of b?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4572288*t - 3\/2*t**3 - 4536*t**2 - 1536288768.\nAnswer: -3*(t + 1008)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -50 - 50 + 133 + 3*p. Let f be u(-11). Solve a + f*a - 2 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 11:34 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2597870 and 9438.\nAnswer: 101316930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.89691 decades to years.\nAnswer: 678.9691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -11004, 1\/2 in descending order.\nAnswer: 1\/2, 1\/6, -11004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1886902 and 9389?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**5\/12 + l**4\/2 + 4*l**2. What is the second derivative of y(s) wrt s?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/7)\/m*(m\/((m\/m**13*m)\/m))\/m)\/((m**(2\/23)\/m)\/(m\/(m**(1\/3)*m))) assuming m is positive.\nAnswer: m**(5455\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*t - 3*k - 31, 26 = -3*t - 4*k. Let s = 8 + t. Suppose 3*n = -3*c + s, 3*c + c - 8 = -n. Solve -8 = -q + 4*q - c*a, a = -4*q - 7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -7*d**6\/120 - d**5\/30 + d**4\/24 + 28*d**2 + 5*d. Let t(g) be the first derivative of n(g). Calculate t(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 6 + 8*n**3 + 23*n**4 - n**3 - 8*n**3 - 3*n to l*n**2 + g*n**3 + p + h*n + z*n**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 50*c**2 + 8*c + 16. Suppose 7*j - 24 = 19*j. What are the prime factors of b(j)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1237, 657, -925, -4013, -9111, -16723, -27353?\n\"Answer: -84*j**3 + 3*j**2 - j + 1319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -166088\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -691\nAnswer: 5\/691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(sqrt(32) + sqrt(2)))\/(sqrt(3) - (sqrt(3) - sqrt(147)*-1)).\nAnswer: -sqrt(7)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 981*c**3*j**2 - 25*c**3*j + c*j + 7 wrt j.\nAnswer: 1962*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 68*d - 385 = -14*d. Solve d*t - 24 = j, 4*t - 12 = 2*t - 2*j for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lqll when four letters picked without replacement from {q: 7, l: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 3*y - 30 = 0. Suppose 5*i - y*g - 90 - 30 = 0, i + 4*g + 1 = 0. Calculate the remainder when 107 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -162\/2667727?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -16 + (-4 - 1)*8\/20. Let t(h) = -4*h + 12. Let k(y) = y - 3. Give m*k(v) - 4*t(v).\nAnswer: -2*v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 2*f**2 - 22*f - 40. Let v be p(-2). Solve x - s = 4, 5*x + 24 = x - v*s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k**3 - 5386557*k**2 - 10657469 with respect to k.\nAnswer: -3*k**2 - 10773114*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 493 a factor of 49952732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92\/(-2) + (-1211480)\/(-26350)?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 6*f + 6. Let i be b(-5). Let g(x) = -1 + 2*x - 18*x**3 - 2*x**2 + 73*x**3 - 23*x**3 - 14*x**3. What are the prime factors of g(i)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 40\/((1 + -2)\/(-3)). Suppose -s - 3*s = -i. Suppose h - p - 4 = 0, 0 = -4*h - 2*p + s - 8. What is the remainder when 8 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/((((i\/i**1*i*i*i)\/i)\/i)\/i))*i)\/i)**(-1\/14)*(i**(-1\/4)*i)**(-5) assuming i is positive.\nAnswer: i**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/(sqrt(4)*4 - sqrt(4)) + sqrt(13) + 1 + sqrt(52)\/sqrt(4))**2.\nAnswer: 14*sqrt(13)\/3 + 646\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.572 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 469410 is divided by 469401.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -693809\/57340 + -1\/11468. Let b = j - -25\/2. Let x = 13071\/65405 + 2\/13081. What is the closest to b in x, -1\/3, 1\/8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 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 7 a factor of 8271102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 - 1303*t\/2 + 163.\nAnswer: -(t + 326)*(4*t - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9dac + -3c07?\nAnswer: 61a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 4*b - 120. Let p = -14 + b. What is the least common multiple of 11 and p?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 0. Suppose 5*g = 2*g, 5*u - 5*g = 0. Let l be -1 - (u + 12\/(-11)). Is l at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 1408*y - 1404*y, -5*i = -6*y - 40 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -6*s**2 - 3866*s + 14113. What is n(-648)?\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 7 = -1. Suppose 4*w - s*y - 11 = 3, -4*w + 24 = 2*y. Let u be 572\/20 + 2\/w. Do u and 30 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3467845 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4120 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 804891?\nAnswer: 3, 268297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -60, -15, 2, 1, 12, -4, 9 in ascending order.\nAnswer: -60, -15, -4, 1, 2, 9, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-340)\/(-6)*30\/10. Suppose 5*v - 15 = -0*v. Suppose -5*p = -2*w - 850, -p + 0*p = -v*w - o. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52896 and 2349?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**4 + 60*c**3 - 92*c**2 - 156*c.\nAnswer: -4*c*(c - 13)*(c - 3)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -413, -422, -437, -458, -485, -518?\nAnswer: -557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37\/14 + 22\/7. Let g = -3 + 2. Let d = g + m. Sort d, -2, -3 in decreasing order.\nAnswer: d, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-3 + (-36)\/(-6)). Let h be (8 - x)\/(-1) + (-129)\/(-43). Let f(c) = -6 + 6*c + c + 0. Let k(u) = 10*u - 9. Determine h*k(a) + 7*f(a).\nAnswer: -a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + 12 + 21 - (-38 + 2).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*s = -12. Let t(w) = 3*w**2 - 8*w + 9. Let g(b) = 13*b**2 - 33*b + 36. Let z(x) = s*g(x) - 18*t(x). Factor z(f).\nAnswer: -2*(f - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211*g + 46*g = -210 - 5400. What is the remainder when 789 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, a: 2, g: 1, z: 1}. Give prob of sequence ar.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*s = 100 + 41, -3*f - s - 373 = 0. Let c be (-840)\/f*3\/5. Let z(y) = -y**2 + 3*y - 2. Calculate z(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*b + 17 = -48*b - 23. What is the smallest value in -3, -16, -6, b?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/12 and -97\/1700?\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 17910940 to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1144*y + 2245 = -223*y + 2399 + 3530 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 157550*a**2 + 82535*a?\nAnswer: 315100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 - s + 1. Let t be g(-2). Let r = -26 + 25. What is the nearest to r in 0.2, t, 5\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -51 + -101?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 + (108*-2)\/2. Let x = -85 - l. What is the lowest common multiple of x and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/5 - 2796\/(-10). Suppose i + 4*i = m. Suppose 5*u - 3*o = 72, 4*u = -0*o + 2*o + i. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -526080*w - 8943358. Give o(-17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42110154 to the nearest integer?\nAnswer: 6489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 2, -338, -4 in decreasing order.\nAnswer: 26, 2, -4, -338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 178*l**3\/3 - 3*l + 103. List the prime factors of c(-2).\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 472 is divided by 236?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 33\/6 - 5 - 180\/(-8). Suppose -2*m + 10 = 3*m. Suppose -y = -5*u + u + f, 2*y + 16 = m*u. Solve 3*x - u = 2*w, 3*x = w - 4*w + 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296*v = 306*v - 7840. Calculate the greatest common divisor of v and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - d = -n - 2, 0 = -4*d + 3*n + 13. Suppose -4 + d = -f. Let h be f - (-6*1)\/(-3). Put h, 4, -5 in decreasing order.\nAnswer: 4, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 419971040?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -0*b - 5*o - 468, -b + o + 488 = 0. Is 17 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18472137.\nAnswer: 3, 353, 17443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**5\/9 + 188*y**4\/3 + 14582*y**3\/3 - 94180*y**2\/9 - 119600*y\/3 = 0.\nAnswer: -65, -2, 0, 4, 345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5922*r**4 - 2925*r**3 + 2*r + 607859 wrt r.\nAnswer: 71064*r**2 - 17550*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**2 - 3*k**2 - k - 6*k - 13*k**2 + 19*k.\nAnswer: -12*k**2 + 12*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-28)*8*2\/(-20)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a milligram in nanograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 138 and 1748.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 12:29 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1101 (base 2) to base 14\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2114928 by 108.\nAnswer: 58748\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 3:26 PM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*6\/10)\/((-60)\/(-90))?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 28*q**2 + 57*q + 91. Calculate w(30).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70333 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 2. Is o at least as big as -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 298 + -5121?\nAnswer: -4823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -4*x - 4*h + 84, -4 = -h. Calculate the remainder when 54 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -464, -486, -512, -542, -576?\n\"Answer: -2*f**2 - 16*f - 446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -29 - t + 463*t**3 - 112*t**3 - 121*t**3 - 116*t**3 + 19*t**2 - 115*t**3. Determine h(19).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + 0 + 3 + (4 + 0 + sqrt(7))**2.\nAnswer: 9*sqrt(7) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -699 + 688 = -144*c - 2747 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 2*z - 3*z)*(z + 26*z - 6*z)*(2 + 3 - 4) + (-3 - 1 + 2)*(-3 + 3 - z**2) + 5*z**2 - z**2 - 2*z**2 - z - z**2 + z - z**2 - 2 + 2.\nAnswer: -19*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 933403.7 millilitres?\nAnswer: 933.4037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 greater than 16671\/86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + (-4 + 4 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 1 + -1)\/(-2). Suppose 3*g = 2*t + 6*g - 41, 2*t + 4*g - 42 = p. Let f = 49 - t. Is 15 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/7355 and -18\/1872583?\nAnswer: 9362915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**3 + 2*d + 1. Suppose 27*a - 26*a = 4. Let s(x) = -x**3 - x. Give a*s(m) + c(m).\nAnswer: -2*m**3 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2328 and 1358?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*p**3\/7 - 688236*p**2 - 139716630*p\/7 - 260162604\/7 = 0. Calculate p.\nAnswer: -27, -2, 802971","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*s + 9*s + 9. Is 15 a factor of (-1 - -2)\/((-1)\/s) + 259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 2*o + 6056, -6*q + 8*q + 3*o = 6058. What are the prime factors of q?\nAnswer: 2, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12569, -25138, -37707, -50276, -62845?\n\"Answer: -12569*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 1248*a**2 - 2*a. Let m(v) = -6396*v. Calculate k(m(y)).\nAnswer: 51054202368*y**2 + 12792*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (24\/9)\/(4\/(-18)). Let x = c + 19. Suppose 0 = -3*r - 3*k + 6, -x*r + 6*r = 2*k + 2. Calculate the highest common divisor of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 106933\/24 - 4460. Calculate the common denominator of o and -125\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -1\/6*g**3 + 0 + 0*g + 13*g**2 - 1\/24*g**4. What is q(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (78\/18*(-36)\/(-39))\/((-28)\/3).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2. Let i(o) be the second derivative of -o**6\/240 + 2*o**4\/3 + 35*o. Let w(s) be the third derivative of i(s). Determine a(w(p)).\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38346 and 2247.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 7\/(-5 - -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + (sqrt(66) - (sqrt(66)*-3*5 - sqrt(66)) - sqrt(66)) + sqrt(66) + (sqrt(66) - sqrt(66)*-1*4))\/(2*sqrt(6)*3 + sqrt(972)\/sqrt(2)))**2.\nAnswer: 5819\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4\/2 - 9*k**3\/2 + 9*k**2\/2 - 3*k\/2.\nAnswer: 3*k*(k - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -42, -94, -150, -210?\n\"Answer: -2*a**2 - 46*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 5*f + 2. Let t be q(3). Let z(u) = 8 - 9*u + 5 + 8*u. List the prime factors of z(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 5) in base 13?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-4\/3))\/v**6*v**(3\/7)*(v\/(v*v**(-1)*v*v))\/v*v*v)**(1\/48) assuming v is positive.\nAnswer: v**(-31\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4 - 0. Suppose 5*h - 103 - 107 = 0. Let r be (-3)\/(-6)*h\/15. Sort y, 0.1, r in ascending order.\nAnswer: 0.1, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 1 - 1)*(-5*p - 14*p + 9*p)*(1 + 0 - 2).\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1152) - (sqrt(1152)*-1 - sqrt(1152)) - sqrt(1152))\/(sqrt(18)\/sqrt(2)*-5) + 3*(3 + 2 + (sqrt(6)\/sqrt(3))**2).\nAnswer: -16*sqrt(2)\/5 + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(44))\/sqrt(2))\/(sqrt(99)\/(sqrt(9)*4) - sqrt(11)).\nAnswer: -4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 3:39 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 115\/3 + 1\/(-3). Suppose z - 4*c + 2 = -z, 4*c = -2*z + w. What is the highest common divisor of z and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of 0 - 3*n + 0*n**2 + 0*n**4 - 1\/30*n**6 + 0*n**5 - 7\/6*n**3. What is the second derivative of y(w) wrt w?\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(2)*1 + sqrt(288)\/sqrt(9) + ((0 + sqrt(24)\/sqrt(3))*-3)**2.\nAnswer: 5*sqrt(2) + 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -z**8\/6720 - z**7\/420 - z**6\/240 + z**5\/24 + z**4\/24 + 3*z**2. Let u(r) be the second derivative of s(r). Calculate u(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a**2 + 112*a - 415. Give v(26).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 8:28 PM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16230\/371 - 4242579\/107590. Let n = -360\/29 + r. Let z = 6185 + -55739\/9. Find the common denominator of z and n.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h + 14*h - 2349*h**2 - 11 + 2348*h**2 - 3*h**3 to the form l + s*h**3 + r*h**2 + t*h and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 4 = 4*a, -4*z + 5183 - 5149 = 5*a for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 3*q + 7, 0 = -3*s + 8*q - 4*q - 8. Suppose 24 = -4*b + s*u, u = 5*b + 4*u + 14. Let z = 7\/2 + b. What is the second biggest value in 3, -8, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4558?\nAnswer: 2, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -357000 = 4409*n - 2132*n - 56436 for n.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 1 = f + 2*f, 2*d = 5*f - 2. Let h = 8 + -7. Let p = 0.04 - 2.04. Which is the closest to h? (a) -0.2 (b) f (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1814 + 610208.\nAnswer: 608394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/33 + 28\/(-396). Let h be 2\/(-4) + (-2)\/20. What is the second biggest value in 2, v, -5\/2, h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + f + 20 - 3*f.\nAnswer: -2*f + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-285)\/(-21) - (-27)\/63. Solve -17 + h = 3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1442 + 142342?\nAnswer: 144224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 7. Let m = 62 - 34. Solve -2*i = -8*k + b*k - 14, -m = 5*k + i for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/22724 and -7\/247.\nAnswer: 22724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 79*j - 487. Give g(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -324, -379, -530, -825, -1312, -2039, -3054, -4405?\nAnswer: -6140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 94745300 rounded to the nearest 1000000?\nAnswer: 95000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mr when two letters picked without replacement from {r: 7, m: 5}?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -8 - (-60)\/(-5) - -12. Put -2\/5, 2\/5, -11, z in ascending order.\nAnswer: -11, z, -2\/5, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 3*w = -12, 1116*y + 2*w = 1126*y + 32 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.7912727 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(2\/19))**(-1\/56))**(-1\/69))**(13\/5) assuming k is positive.\nAnswer: k**(13\/183540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -19. Suppose 0 = w*x + 3*d + d - 115, 0 = -5*x - 3*d + 115. Is x a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y + 3*y - 2*y)*(9*y**2 + y**2 + 3*y**2) + 7*y**3 + y**3 + 0*y**3 in the form p*y**3 + n + c*y + t*y**2 and give p.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 5*q - 4. Let w be z(-3). Suppose 0*t - 3*t = -4*i - 3, -4*i = -4*t + 4. Suppose -k + 2 = i, -x = w*k - 15 - 29. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 188028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 366901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 22*t - 44. Calculate z(-24).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26620, 106450, 239514, 425818, 665368, 958170?\nAnswer: 1304230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13302 + 12?\nAnswer: -13240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340*g + 34327 - 310141 - 33906 = 2241*g for g.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.1 + 7.695. Let v = 24.39 + -24. Let x = q + v. Round x to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 86 in -2114, -2\/5, 0, 10, 0.06?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 722769.3 minutes in seconds?\nAnswer: 43366158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -222, -1534, -5102, -12054, -23518, -40622, -64494?\n\"Answer: -188*r**3 + 4*r - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -471, -469, -467, -465, -463?\nAnswer: -461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8550\/(-2640) + (-8)\/(-22) and 23\/756?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*z**3 - 11*z + 11*z)*(5*z + 4*z - 33*z + (-3 + 1 + 0)*(-4 + 9*z + 4)).\nAnswer: 756*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 29 (b) 0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -92945 divided by -29\nAnswer: 3205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 2*p + 5, -4*a - a = -p. Let z(d) = 5*d**2. Let j be z(a). Suppose -j*o = -9*o + 104. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + -2 - (-24 + -211). Suppose -12*q + l = -546. Is 12 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 10}. What is prob of picking 3 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -u**4\/24 + 13*u**3\/6 - 19*u**2. Let n be h(6). Suppose n*r - 105 = 4*r. Does 8 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 6:19 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j + 0*j - 1951*j**3 - 1905*j**3.\nAnswer: -3856*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4089 - 4280. Sort 0, -1, -5, b.\nAnswer: b, -5, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 32, -2, 4, 0 in decreasing order.\nAnswer: 32, 4, 2\/5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*w + 10, 3*i + 25 = -4*w - w. Let g = w - -11. Let q(v) = -v**2 + 8*v - 2. What are the prime factors of q(g)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/480? (a) 4 (b) 1\/4 (c) 5 (d) 3 (e) -205\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394059 is divided by 1094?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1259*y**3 - 84*y**2 wrt y.\nAnswer: -7554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*m**5 + 6*m**4 + 2600*m**3 - 7200*m**2 + 384*m + 1024 = 0.\nAnswer: -8, -1\/3, 4\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, -0.04, 5, -0.4, 1\/67, 2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 54694 divided by 667\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**8)**(-44) assuming i is positive.\nAnswer: i**(-352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 5 + 2 + -10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c**3 + 119*c**2 + 43*c - 185. Determine k(40).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 250 + -249. Let k be (-2)\/(s\/(44\/8)). Let v(t) = 2*t**2 - 8*t - 6. Let m(g) = 3*g**2 - 15*g - 11. Give k*v(l) + 6*m(l).\nAnswer: -4*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 295*s**3 - 15*s**2 + 14*s + 2035. Let m(n) = 296*n**3 - 17*n**2 + 16*n + 2036. Let q(b) = -8*k(b) + 7*m(b). Differentiate q(u) with respect to u.\nAnswer: -864*u**2 + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1160, 4715, 8270?\nAnswer: 11825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 38*m**2 - 2013*m - 49. Let l be j(53). Solve -k + 4*t - 2*t = 0, 0 = 3*k - 2*t + l for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -53, -94, -135, -176, -217?\n\"Answer: -41*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -2, -0.4 in increasing order.\nAnswer: -2, -0.4, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10 + -1aa?\nAnswer: -1ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 179 - 190.7. Let i = t - -11. Let s = i + 0.2. What is the third smallest value in 1\/3, -0.3, s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -3*c**5 - 12*c**4 - 15*c**3 - 6*c**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-435)\/(-33) - (48\/22 - 2). Let m = g - 3. Suppose m = 3*u - 2. Solve 2*a = -a, 4 = -u*c + 2*a for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 7*w**2 - 4*w + 1. Let z(h) = 6*h**2 - 3*h + 2. What is -5*v(t) + 6*z(t)?\nAnswer: t**2 + 2*t + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56\/7 + -6 + -3 + 6461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-8)*i*(i*i**(-1\/17))\/i assuming i is positive.\nAnswer: i**(-120\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (0 - 3 - -26). Let z be (-3)\/(-1 + (-5)\/s). Find the third derivative of -2*c**4 - 19*c**z + 3*c**4 + 25*c**2 - 8*c**4 wrt c.\nAnswer: -624*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 222 times 4\nAnswer: 888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 16, -1, -18?\n\"Answer: -17*b + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 5*r - 5, -3*a = -2*a + 1. Suppose -11 = -r*v - 1. Suppose -v*g + y = -640, 0 = 5*g + 4*y - 7*y - 650. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3034.83 + -2548. Let i = 454 + -938. Let a = i + j. Round a to 1 dp.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (57\/19)\/(-1 - 8). Suppose 2*i - 1 - 3 = 0. Let w = -0.4 - 13.6. Which is the nearest to r? (a) w (b) i (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of 5*o**4\/12 - 15*o**3\/2 - 12*o**2. What are the prime factors of b(23)?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 12. Suppose 0 = -z - 2, 5*l + 3*z + z = q. Solve 15 = -5*w + l*f + 34, -15 = 5*f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 565029 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/4*(9 - (0 + 3)). Suppose -3*w + 5*b = 60, y*w + 38 = w + 4*b. Let t = 54 + w. List the prime factors of t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 1120*q**2 + 1125*q**2.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 4. Let w be o - 5\/((-10)\/96). Suppose -2*s + 0*s = -w. What is the remainder when 153 is divided by s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 175\/75 - 28\/21. Let b be 2 - (5 - 2)\/(-27). Which is greater: t or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 96415467228.34?\nAnswer: -96415467228.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v - 4. Let r be a(2). Let j be ((-6)\/10)\/(r\/(-10)) - 28. Let z = j - -48. Calculate the remainder when 66 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 179685*b - 2335944. Give r(13).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 - 4)*(39*z - 105 + 105)*(398*z - 398*z + 59*z**2) as h*z + o*z**2 + n + w*z**3 and give w.\nAnswer: -6903","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d*d\/(d**10*d)))\/d*d\/(d**(-6\/11)*d))\/(((d**0\/d)\/d)\/(d**(4\/5)*d)))**(-2\/11))**(-27) assuming d is positive.\nAnswer: d**(39636\/605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 x when four letters picked without replacement from xxxxxxaax.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3 - r + 2 + 4 - 6*r + 6*r**2 - r**3. Let u be w(5). Let k = -11 - -7. Which is the biggest value? (a) u (b) 3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**3 - 3*j + 1. Let p(u) = 2*u**3 + u**2 - 5*u + 3. What is -3*p(y) + 5*w(y)?\nAnswer: 4*y**3 - 3*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (4 - (-6 - -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 3*p + 16. Suppose o + a + 11 = -2*o, a = -4*o - 16. Let q be l(o). Suppose 56 = q*h - 100. What is the remainder when 101 is divided by h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4195094429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 50a (base 14) in base 10?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*c + 195*c - 384 = 0 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289*m + 8 = 290*m - 3*b, 2*b - 90 = -8*m for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5016138 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*(-3 + -13 + 0). Let j = f - 35. Let k = j - 0. What is the remainder when k is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 15*y + 33. Let q(l) = -l - 2. Let v(g) = -4*p(g) - 66*q(g). Let w(f) = 2*f**2 + 2*f**2 - f**2 - 2*f**2. What is v(w(k))?\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3.9 and -391.14817.\nAnswer: -395.04817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y**18*y))\/y*y)\/(y\/y**(-4\/7))*(y*y**(2\/3))**(-1\/20) assuming y is positive.\nAnswer: y**(-1567\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -47*m**2 - 1. Let t(c) = -395*c + 87. Determine t(j(p)).\nAnswer: 18565*p**2 + 482","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 18 - 5 + (3 - 2 - 2)*(4 - 2 + 3) + 0 + 4 - 2)*(-3*r + 3*r + 2*r).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9717.675 centuries to years.\nAnswer: 971767.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z + 8. Let j be b(-5). Let u be 24\/j + 4\/6. Let d be (4\/(-6))\/((-2)\/9). Solve -d*v = 5*a + 35, -3*v - u*v - 9 = -4*a for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/25 bigger than -121174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3740 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 196\/21*19\/((-266)\/(-12)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22076108 by -2.\nAnswer: 11038054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5616 + 5640. What is the second biggest value in -3\/53, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - 3 - (-12 + -1 + 2). Which is smaller: x or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3773195 and 1.\nAnswer: 3773195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8 - 1. Let f = -0.2 - z. Let y = -2 + f. Which is the second biggest value? (a) 0.4 (b) 2\/3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115.1963 rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 5*n = 7, -5*n - 43 = 93*b - 91*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 18 (b) -1\/4 (c) 1\/3 (d) 60 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24991 * -190.\nAnswer: 4748290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 210933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = m + 4*k, -m + k - 19 = -17 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 867 = -266245*o + 266047*o - 1905 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**6\/60 - 3*u**5\/8 - 25*u**4\/8 - 125*u**3\/12 + 12*u. Factor t(k).\nAnswer: -k*(k + 5)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 10417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.575796 rounded to three dps?\nAnswer: -0.576","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*w - 2*w. Let s = 9 + w. Solve 0 = b + s*b + 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*p = 5*p - 12*p - 408 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10218 (base 9) to base 16.\nAnswer: 1a54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*q**2 + 114396*q - 1188811 wrt q?\nAnswer: 4*q + 114396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - a = 0. Solve -5*s + 0*s = a for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.74 - 1.26. Let n be (-1)\/(-2) - 1\/(-4). What is the nearest to -2\/7 in 3\/7, n, i?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1049 is divided by 112?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4454.774198 rounded to the nearest 100?\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -12*g - 85. Determine i(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*p + 23, -2*p - 34 = -4*l - 0*l. What is the least common multiple of l and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 3*g + 40. Suppose 0 = 7*n - g*n - 124. Suppose 3*j + h = 47, 3*h = -2*j - 0*h + 22. What is the remainder when n is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 18. Suppose 0 = -p + 3*p + m + 3, 2*p + 4*m + s = 0. Suppose -10 = 5*t + 10. Sort p, -3, t in ascending order.\nAnswer: t, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 + 3*w - 3*w. Let x(b) = -3*b - 5. Let l(k) = -2*k - 4. Let o(v) = v**2 - v - 1. Let t be o(3). Let m(n) = t*l(n) - 4*x(n). Give j(m(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 53*w - 48*w - 5 = 0, 1 = -5*u + 3*w for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1761.\nAnswer: 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/105 or 0.3?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**5\/20 - 7*i**4\/12 + 3*i**3 + 9*i**2\/2 - 17*i. Calculate the remainder when 20 is divided by t(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 26, 48, 72, 98, 126, 156?\n\"Answer: d**2 + 19*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.09 + 0.11. Which is the second smallest value? (a) 2\/7 (b) q (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -30*(-7 - 124\/(-20)). Suppose 9*i - k = -6. Solve -i + 2 = -7*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -6. Suppose 3*v = v + 24. Suppose -4*g - a + v = 0. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 1693*z + 0 + 4.\nAnswer: 1693*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25 - 3 + 19)*(-a + 0 + 0)*(2*a + 2 - 2) to n + g*a**2 + b*a and give g.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10*912\/(-56))\/((-1)\/(-49000)). What is r rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.176 - 1.176. Which is smaller: -83 or m?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1631 * 9.5.\nAnswer: -15494.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + -4)\/(63\/15 + -4). Let k be -5*y\/125*5. Find f, given that 5*f + 5\/4*f**k + 11\/2*f**3 + 33\/4*f**2 + 1 = 0.\nAnswer: -2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1\/80, 0, 2\/3 in increasing order.\nAnswer: -0.4, 0, 1\/80, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208540598?\nAnswer: 2, 7, 17, 47, 103, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37342920301\/7280 - -5129522. Let o = 2\/1365 - t. Which is smaller: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -9*v + 69. Determine p(10).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/(-12)*(0 + 3). Let a(z) = 2*z**2 + 5*z. Is 4 a factor of a(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.05 + -1.95. Let i = r - -3. Let o = 1.3 - 0.8. Which is the third smallest value? (a) 0.3 (b) i (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**28*g))\/(g\/(g\/(g\/(g\/g**(-1))))))\/(g**(-2\/5)\/(g**(-15)*g)) assuming g is positive.\nAnswer: g**(72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of j**5\/60 - j**4\/12 - j**3\/2 + 2*j**2 - 75*j. Let l(v) = 5*v**2 - 26*v - 34. Let f(o) = l(o) - 6*t(o). Give f(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.351204765 rounded to five dps?\nAnswer: 0.3512","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1168491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 3*a**2 - 6*a - 3. Suppose t = u + 7, -3*u = -2*u - 4*t + 16. Let x be h(u). Are x and 5 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 451536?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2033101 (base 4) to base 14\nAnswer: 34ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-12)*4\/12*-12\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 3*a + 2*a)*(15*a + 2 - 2) - 2*a + 2*a + a**2.\nAnswer: -29*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z - 31*z - 29*z**2 + 31*z - 2393*z**2.\nAnswer: -2422*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v**2 - 3*v**2 + 4*v**2 - v**2.\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -225\/574 + -3\/82. What is the third biggest value in -10, -1\/7, c, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j - 2*j + 4*j - 45 + 45 + 15*j + (6 - 3 - 1)*(-2*j - 5*j + 5*j) + 2*j + 4*j - 4*j + (0 - 18 - 1)*(0 + 0 + j) - 3 + 2 - 2*j + j.\nAnswer: -4*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 143*y - 9. Let j(k) = -4*k - 4. Let g be j(-2). Is z(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 23\/20 - (-200)\/160. Factor -j + 48\/5*z - 21\/5*z**2.\nAnswer: -3*(z - 2)*(7*z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -t**3 + 1094. Let c(n) = -638*n - 1. Calculate o(c(h)).\nAnswer: -1221132*h**2 - 3828*h - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*o - 69*o = 2*z + 16127067, 4*z = -4. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/28)\/(123\/(374535\/30))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.258 + 0.468. Let k = 23 - 22. Let j(t) = 2*t**3 + t - 1. Let i be j(k). Does h = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*u + 10 = 20*u. Let p(j) = 108*j**2 - 8*j - 13. Is p(u) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16532 - 9662. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6036\/44264)\/(6\/(-803))*4\/(-1).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -629 + 3840. List the prime factors of r.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**11*o**4*o*(o**(-3)\/o)**(-1\/4) assuming o is positive.\nAnswer: o**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 4) to base 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**2. Let v(g) = 7*g**2 - 5*g + 2. Let w(c) = c**2 - c. Let n(p) = 3*v(p) - 15*w(p). What is b(n(u))?\nAnswer: 108*u**4 + 216*u**2 + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24575 is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 6:52 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*s + 4*z + 20 = 22*s, 0 = 5*s - 2*z - 10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n + 3*w - 4, -4*n - 3*w + 4 = -3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 403267253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.4*-0.15.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38117363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 + 19*r + 4. Let n(o) = 4*o**2 + 35*o + 8. Give 11*j(u) - 6*n(u).\nAnswer: -2*u**2 - u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4\/3 - 448*o**3\/3 + 150*o**2.\nAnswer: -2*o**2*(o - 1)*(o + 225)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -y - 13. Let q be 5 + -2 + -1 + (3 - y). Sort -21, q, 3.\nAnswer: -21, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (83 + -99 + 0 + -6).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*y = -132, -169*w + 3*y = -174*w + 165. What is the least common multiple of 180 and w?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.35 - -0.45. Suppose 2*v = -2*v + 8. Let k = 0.3 - 0.5. What is the closest to x in v, k, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/55*36\/(-6)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f - 3. Let y be q(-3). Let z be -4*-1*(2 + -1). Let d = z + 0. Solve y*i = d*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/6*30\/(-20).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three eighths of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(-196)\/(-8) - -3. Let k = x - 27. Let q be (11 - 5) + 4\/(-1). What is the nearest to -2\/3 in k, q, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 0.2. Let k = 14 - 14.9. Let c = t + k. Round c to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 313865 greater than or equal to 314445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*x + 45*x - 86900. Which is bigger: x or 1581?\nAnswer: 1581","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p + 2*p - 3*p + (4 - p - 4)*(0 + 0 + 1))*(-454*p - 2217*p + 647*p).\nAnswer: -8096*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 284165909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -1 (c) 1 (d) 7\/335\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**3 + 2*b**2 - 2*b + 3. Let f(o) = -o**3 - o**2 + o. Let s = -463 - -465. Give s*f(v) + t(v).\nAnswer: v**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from ycgsycccchhycchcscg.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*v - 17 = 34 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 41 * -7963.6\nAnswer: -326507.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 divided by 38?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.6048942 less than -1?\nAnswer: -37.6048942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1\/2, -2\/3, 0.2, 1\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 + 15?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53 + 88. Let g = h + -26. Let k(j) = -13*j - 15. Let n be k(-6). Calculate the greatest common factor of n and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2277 is divided by 377?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 944680 (base 11) to base 13\nAnswer: 41026c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4565 and 5395.\nAnswer: 59345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16619.2 + 16619. Which is the third smallest value? (a) 3 (b) x (c) -34\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 8*j - 4. Is 16 a factor of i(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1458.4+4463\nAnswer: 5921.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20044 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166935*j**3 - j**2 + 127391*j**3 + j**2.\nAnswer: 294326*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4184.1 - 4184.07. Let u = 71 + -357\/5. What is the closest to 1 in u, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 84 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -7*v - 41. Suppose 5 = -3*k - 3*n - 4, -3 = -k - 3*n. Let j be b(k). Let r be 2\/j + -31700006 - -4*1. What is r rounded to the nearest one million?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360 = 15*s - 10*s. What is the greatest common divisor of s and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 + -24?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 10 - 40*i**2 + 39*i**2 + 7*i - 5. What is the tens digit of p(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 11:59 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - -10. Solve b + 1 = 5*i + 5*g, g + 1 = i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r + 9. Suppose 3 = -a - 4. Let l be g(a). What is the greatest common divisor of 69 and l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15\/(-10))\/(6\/(-20)). Suppose -2*a = s*a - 2702. Suppose -4*d - 3*r = -a, -4*d + 0*r + 384 = 2*r. Is d a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 10, -76 in increasing order.\nAnswer: -76, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67448.\nAnswer: 2, 8431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (144\/(-504))\/((-1)\/(-28))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (15 - -1) + -2 + 0. Let h = 6 + -14. Let l = h + 10. Solve -3*q + 5*q = -l*j + b, -12 = -j - 2*q for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/3 or -3.4?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**3 + 6*c**2 - 40. Let h be v(-14). Suppose -3*g - 1647 = -3*b - h, 0 = -b - 2. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -8. Let t(x) = -58*x. Let l be t(0). Let v be (-2)\/5 - 36\/10. Put v, l, u in decreasing order.\nAnswer: l, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/12*8\/(-3). Let p be (-12)\/24 + 318\/n. Suppose -3*u - p = -4*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-54)\/36*4\/3. Let d be (29 - 29)*x\/4. Are -2\/53 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 151361548 a multiple of 344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 5*f + 4 + 1, -2*b = f - 4. Are 1\/9 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 4 + 0)*(-9*n + 3*n - 5*n) to the form a*n + b and give a.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2\/7*w**2 - 328\/7 - 326\/7*w = 0.\nAnswer: -1, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-4)*i)\/i)\/i**1*i**(-2\/7)*i*i**(-1\/6) assuming i is positive.\nAnswer: i**(-145\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 4473965 - 708365 = 0. Suppose 6*p - s = 18*p. Is 6\/(-51) - (p\/(-51))\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365 a factor of 1482995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 - -43. Let u(a) = 47*a - 12. What is the remainder when u(b) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 8, 62 in decreasing order.\nAnswer: 62, 8, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 74.1729108483.\nAnswer: -73.8729108483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4174, -14466, -31616, -55624, -86490, -124214, -168796?\n\"Answer: -3429*x**2 - 5*x - 740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(4\/7))**(2\/59) assuming j is positive.\nAnswer: j**(8\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/47068 and 3\/2744.\nAnswer: 4612664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 6 - 3. Let m = -40 - 4. Let l = o - m. Calculate the remainder when l is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115101856.\nAnswer: 2, 3596933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7158 = -5*s + 752. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53040810 to the power of 1\/2, to the nearest integer?\nAnswer: 7283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 b when two letters picked without replacement from {b: 7, l: 4}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14\/165 + 1973\/22605. Which is greater: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1286 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - (-7 - 0)\/(-1). Let q be s\/(-6) - (-5)\/10. Which is smaller: q or 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 28. Let c = 20 - s. Sort -3, -8, c in descending order.\nAnswer: c, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -459*b + 1660 = 5058 + 7618 for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 2*c - 68. Let p = 9 + 27. What is the least common multiple of t(-10) and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + n = 5, -a - 10 = -6*a - 2*n. Suppose a = 8*u - 4*u. Solve u*d + 4*d = -4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9988 = 40*x - 24188. What is the highest common divisor of 1704 and x?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1010387121?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/182)\/(246\/(-574)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 10 + 8. Suppose 3*s = -4*m + 61, -4*m + 1 = 9. Suppose 14 - 8 = -3*x + 4*d, -s = -4*x - 5*d. Solve -t*r - 16 - x = -4*w, -2*r - 2 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -20*c + 12*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**6*(j**(3\/4)\/j)\/j*j\/(j\/(j\/(j\/(((j\/(j*j*(j\/j**5)\/j))\/j)\/j*j))))*j**(1\/11))\/((j**1)**14*j**(-1\/3)*j*j**(-1\/3)*j) assuming j is positive.\nAnswer: j**(-989\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64100 (base 7) to base 9.\nAnswer: -23635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -10*z**2. Let t(r) = -2*r - 12. Let n(m) = 1. Let k(u) = -u**2 - 6*u + 1. Let v be k(-6). Let q(s) = v*t(s) + 12*n(s). What is l(q(w))?\nAnswer: -40*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**6\/120 + 7*l**5\/60 - l**4\/6 - 7*l**3\/6 - l**2. Let s = -32 - -25. Is 21 a factor of a(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2592))\/sqrt(6)*3 + 4*((sqrt(3) + ((sqrt(12)\/sqrt(4))**2 - sqrt(3)))*6 - sqrt(3)) + 0.\nAnswer: -40*sqrt(3) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5756 (b) -1\/4 (c) 105\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.2 + -4.2. Let p = -9 + 3. Let t = w - p. Put 1\/4, -4, t in increasing order.\nAnswer: -4, 1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 293 = 245. Sort -1\/2, -2, r in descending order.\nAnswer: r, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26090954 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 667\/266 - 1\/133. What is the nearest to -2 in 2\/3, f, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 137191255?\nAnswer: -27438251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*d**6 - 106*d**4 - 5*d**3 + d**2 - 16297 wrt d?\nAnswer: -1200*d**3 - 2544*d - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*o - 3 + 3 + o to p*o + l and give p.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 0.1, 1\/3, -4, -10, -0.01?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -279770*g**2*z**3 + 54*g**2 + 4*z**3 - 69*z**2 - 7630*z - 1 wrt g.\nAnswer: -559540*g*z**3 + 108*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**2 + 14*i - 16 = 0. Calculate i.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 0 + 3 - 3*x**2 - 3. Let c(i) = 2*i. What is a(c(n))?\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 149 (b) 2\/9 (c) 0.001521 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 43*c - 1012. Let g be k(-17). Let h(v) = 2*v**2 - 6*v - 16. Determine h(g).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5 = -3*f, 4*f - 8 = q + 27. What is the least common multiple of (-130)\/(-14) + 2\/(-7) and f?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s**2 + 5*s. Let l be r(-2). Let w be 14\/l - (-24)\/40. Let c be w*(4 + -7)*5\/(-2). Solve -3*u = -0 - c for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r. Let a be m(2). Let v = a - -11. Solve 6 = -3*x + 5*x + v*f, 4*x + f - 12 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322332.\nAnswer: 2, 3, 26861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2097695808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, u: 7, j: 3}. Give prob of sequence uuuh.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence al when two letters picked without replacement from {l: 1, u: 3, e: 7, a: 1}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 - -6.1. Let i be -7 + 95 + (5 - 1). Let m = -90 + i. What is the smallest value in s, m, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -137060*q - 822357. Calculate m(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - ((-3 - 1) + (14 - 12))) + 11.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*m = 60, -7*m = 2*b - 5*m + 126. What is the common denominator of -65\/108 and (-8 - 488\/b)\/(45\/151)?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2524500109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by (16\/(-216) + (-1295)\/378)*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1333417?\nAnswer: 1333417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1010100101010111010111 (base 2) to base 9\nAnswer: 5187783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42.84 - -0.16. Let i = j - 43. Let r be 1\/(-4) + 17\/4. What is the closest to 1\/4 in i, -5, r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + i - 4)*(-115 + 58 + 115)*(-1 + 1 + 1).\nAnswer: 58*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*c - 41*c + 8225. What is the remainder when c is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + -4 + (-3 + sqrt(175) + -1 + sqrt(175) - (sqrt(175) + sqrt(175) + sqrt(175)*1 + 5)) + 0)**2.\nAnswer: 200*sqrt(7) + 550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1897.1 + -1897. Let z be ((-2)\/(-8))\/(6\/(-12)). Put b, z, 2 in ascending order.\nAnswer: z, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (561\/(-9))\/11\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 636763087?\nAnswer: 41, 15530807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31001 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/1701594 and -23\/108.\nAnswer: 3403188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 66*k**2 - 4*k + 185 + k - 94 - 96 - 2*k. Let r(l) = -99*l**2 + 7*l + 7. What is -7*p(q) - 5*r(q)?\nAnswer: 33*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3400 and 544?\nAnswer: 13600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = -b + 5*b. Let s = b + -13. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 55*k - 3467*m + 3470*m + 1103, 3*k + 63 = -m - 2*m for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 - 15555*g**2 - 15550*g.\nAnswer: -5*g*(g + 1)*(g + 3110)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and 15338243?\nAnswer: 15338244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**4\/5 + 174*n**3\/5 + 2043*n**2\/5 - 10356*n\/5 + 2220 = 0. What is n?\nAnswer: -37, -25, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 1:42 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -51 + 5 - -167 - 57\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*z + 5. Let u = -11 - -15. What is the units digit of z*(3 - 10\/u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/13*(420 - 78). Is b >= -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 248794?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -575*x**3 - 35*x - 35. Let w(n) = 48*n**3 + 3*n + 3. Determine -3*d(t) - 35*w(t).\nAnswer: 45*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -5. Suppose 5*c - z*c - 18 = 0. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + k + 2)*(4*k - 32735 + 32709 - 11*k).\nAnswer: -7*k**2 - 26*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243845 is divided by 586?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 3*d = 9. Suppose 0 = -4*u - f + 65, u = d*u + 4*f - 36. Let c be (u\/(-12))\/(1\/(-3)). Solve n + 5*s - 3 - 19 = 0, -c*n + 8 = 4*s for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 53*l + 1755. Determine r(23).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/380 and 29\/9804.\nAnswer: 49020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -4583412\nAnswer: -1\/509268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i**2 - 6. Let q(k) = -3*k**2 + 5. Let m(f) = -6*q(f) - 5*r(f). Let b = -196 - -198. Let w(u) = b*u + 15*u - 17*u - 12*u**2. Give w(m(d)).\nAnswer: -48*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111010111001 (base 2) to base 16.\nAnswer: eb9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.12 or 1267?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -242 - -126. Let q = m + 116.2. What is the nearest to q in -3, -2\/9, 1\/32?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 1. Let b be (-3 - x)*(0 - -3). Let t(o) = -o**3 - 6*o**2 - 8. Calculate t(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -5*v**8\/168 - 5*v**4\/12 + 13*v**2. What is the second derivative of k(w) wrt w?\nAnswer: -200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000013010385 rounded to six decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 821.\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/16 and -39\/41726.\nAnswer: 333808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*x + 49*x + 5605 = -87*x - 96*x for x.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-1)*347\/(-694).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13439634.\nAnswer: 2, 3, 13, 53, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from odgcgoooccowotoo. Give prob of picking 1 w and 1 g.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 5*n + 2. Let j be k(-5). Let q = 243 - 256. Let z = 18 + q. Solve -4*y - 36 = -0*y - z*u, -5*y - j*u - 12 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -5*j + 9390, 2*i - 5641 = -3*j + i. Suppose -3*y + 56 = -j. Is y a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 21*l**2 + 4*l - 6. Is v(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 537*m + 6435. What is the least common multiple of 558 and x(-8)?\nAnswer: 12834","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.39 from 34759.\nAnswer: 34760.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + b + 73 = 0, -t - 80 = -6*t + 5*b. Suppose 3*c + 4*h - 25 = 0, -5*c = 2*h - h - t. Suppose -c*m = -7*m + 52. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -313458 - -d?\nAnswer: -313449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 11*z + 2. Let n(p) = -144*p - 27. Suppose 13*l = 12*l + 2. Determine l*n(x) + 27*u(x).\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91113388.\nAnswer: 2, 37, 43, 103, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 323989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 3:22 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6107 - -36745\/6. Find the common denominator of w and -2 + 0 + 29\/(-24).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8939.282 grams to nanograms.\nAnswer: 8939282000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 10*m - 8. Determine y(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + 17. Let u = p - 41. Factor 0*y**3 - 1\/3 + 2\/3*y**2 - 1\/3*y**4 + u*y.\nAnswer: -(y - 1)**2*(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 128, 259, 390?\nAnswer: 521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1671003*j - 1671003*j + 198 + 184*j**2 wrt j?\nAnswer: 368*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 15*m - 56. Let t be h(-8). Solve -10*w + 4 - 4 = t for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31\/((-1085)\/28) - 1293\/15?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6245617898?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -3\/4, 14\/9, 3204, -0.4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r + 2. Suppose 4*x - 219*z + 223*z = 0, 0 = 2*x - z + 3. Let p(o) = o + 1. Determine x*m(d) + 6*p(d).\nAnswer: 4*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**2)\/(u\/(u\/(u*u**(-8\/7))))*(u\/u**(-1\/4))**5)\/((u\/(u\/(u\/(u\/((u\/u**3)\/u)))))**(1\/39))**(3\/17) assuming u is positive.\nAnswer: u**(39643\/6188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = r - 5*l, 5*r - 6*l + 4*l = 20. Let c be 1\/r + (-346)\/(-12). Solve o - 6*o + 3*q = c, 0 = 3*o + 4*q for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z, 9*k + 2*z - 30 = 4*k. Let w be k + (-1)\/((-4)\/96*-6). Suppose -6\/7*j**3 + 0 + 3\/7*j**4 - 12\/7*j - 3*j**w = 0. What is j?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 472 = 26*f, 961*f - 5*s = 958*f - 34 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(3\/(-11))*-6. Suppose 0 = -4*d + v + 46. Solve 0*z - 21 = 4*z - 5*k, 3*k - d = -2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -i + 80. Suppose -d - 27 = 17*l - i*l, -4*l + 41 = -3*d. Solve -l*z - 27 = 13 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence van when three letters picked without replacement from avvvananvaaaannva?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 25441 (b) 2 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzyzyzyzz. What is prob of picking 2 z?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -7*g + 6*g. Solve h + h - g = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -44, -182, -414, -740, -1160, -1674, -2282?\n\"Answer: -47*y**2 + 3*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6b357d - -5?\nAnswer: 6b3583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4262065 millilitres?\nAnswer: 0.0004262065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1492156 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (13 - (3 + 6))*(-395)\/2. What is the common denominator of (-12)\/90*g\/8*1 and 6\/4*29\/(-30)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*w**4 + 2*w**3 + 19*w**2 - 9 - w + 8 - 19*w**2 + 2*w**4 to k*w**4 + g*w**3 + d*w**2 + v + u*w and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v. Let r(b) = 1. Let c(a) = a - 4. Let s be c(6). Let x(t) = s*d(t) - 4*r(t). Let o(l) = l**3 + 4*l**2 + l - 3. Let p be o(-3). Determine x(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 0 + 11)*(-2*h**3 - 3*h**3 + h**3).\nAnswer: 68*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m**3 + 3*m + m**3 + 3*m**3 - m**2 - 8*m**2 to the form t*m**3 + j*m + d + s*m**2 and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z**3 - 16566*z**2 + 5518*z**2 + 5523*z**2 - 1 + 5523*z**2 + 6*z - 53*z**4 to the form m*z**4 + c*z**3 + j*z**2 + b*z + g and give m.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**4\/7 - 1436*z**3\/7 - 250450*z**2\/7 + 376688*z - 340704 = 0. Calculate z.\nAnswer: -364, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**3 - 4*t**2 - 2*t + 1. Let y be b(-2). Let v = 0.008 + -0.108. Sort y, v, -1 in decreasing order.\nAnswer: y, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -s**4\/6 - 5*s**3\/6 - 25*s**2\/2 - s + 742. Let o(f) = 3*f**2 + 8*f + 38. Determine -8*k(v) - 5*o(v).\nAnswer: v**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k + k - 104. Suppose 2856 = -t + k*t. List the prime factors of t.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 1136 = 3*f - 1064 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, b: 1, t: 1, x: 1, f: 1}. What is prob of sequence yf?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 16112.98372 and 1.9.\nAnswer: 16114.88372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1578 * -170.\nAnswer: -268260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 137 or 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*r - 329 + 32 = 0. Suppose -r*o + 345 = 3*u - 8*o, -2*o - 345 = -3*u. Is 2 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116 - -152.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/522 and -97\/522?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.1 + -3. Let d = 0.1 + 0. Suppose 9 - 19 = 5*h, -3*n - h - 2 = 0. What is the closest to q in 1\/2, n, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*n**5 + 11*n - 11*n + (0*n + n - 4*n)*(1 - n**4 - 1) + (-4*n**2 + 4*n**2 - n**4)*(-17*n - 23*n - 5*n + n).\nAnswer: 66*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0025438 rounded to 4 decimal places?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**3\/4 - 93*h**2\/4 - 33*h + 288 = 0. What is h?\nAnswer: -4, 3, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*j = j - 35*j - 456 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/4693 - 680521\/168948. What is the common denominator of u and (39\/(-2574))\/(35\/(-7) + (-762)\/(-153))?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00068590886 rounded to five dps?\nAnswer: -0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 62*s + 280. Let c be i(-4). Calculate the greatest common divisor of c and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 + -7)\/((-4)\/10). Let k = j + 0. Suppose 5*c + o - 14 = c, -c + k*o = 7. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1))**15*(((y**(-2\/5)\/y*y*y)\/y)\/y)\/y*y\/(y\/(y\/y**(-2))) assuming y is positive.\nAnswer: y**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/54 and ((-330)\/468)\/1 + 0.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2. Let v be ((-4)\/3)\/(6\/(-9)). Let h(b) = -2*b**v - b + b. What is c(h(a))?\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/19, -177, -0.018714, -0.2?\nAnswer: -177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.968995 minutes to days.\nAnswer: 0.01872846875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 0.1341\nAnswer: 0.05364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 36*u**2 + 114*u + 121. Let h be a(39). Suppose 3*f = -5*m + 25, m + 3*f = 3*m - 10. Solve m*r = r + h for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/35*20\/20*161\/(-69)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/(-3703)*46*-315.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(260 - 245 - 603\/39) + -44.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 8:17 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001620446 rounded to five decimal places?\nAnswer: -0.00162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 193652943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 27412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -241 (base 11) to base 2\nAnswer: -100011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*k - 2425 - 414 = 1823 for k.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 17*f**3\/6 - 39*f**2\/2 - 7*f. Let b be r(6). Let s be (-35)\/(-4) + 1\/4. Calculate the highest common divisor of b and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 24 = 108. Suppose h - 1 = v. Suppose -2*u - m + 16 = h, -43 = 4*u + 5*m. Round u to zero dps.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 404044*s**3 - 404022*s**3 + 5*s**2 - 5*s**2.\nAnswer: 22*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 2631?\nAnswer: 4\/2631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 5:06 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 3*n**2 - 6*n + 3. Determine b(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of f**6\/30 - f**5\/3 + f**4 + 1650*f**2. Solve c(v) = 0 for v.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1226 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 509009551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (860*o**2 - 860*o**2 + 80*o**4)*(-1 - 1 + 5 + (4 + 0 - 2)*(-3 + 0 + 2)) to the form j*o**4 + t*o**3 + l*o**2 + p + i*o and give j.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 8*j**2 + 6*j + 11. Let k be n(7). Let t be (-3)\/(k + 39\/(-9)). Suppose 11*z - 16 = t*z. Solve 4 = -5*v - 2*h, 0 = 4*v + 2*h + 2*h + z for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9558 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -765, -1531, -2297, -3063, -3829?\n\"Answer: -766*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 81506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g + 1. Let f(v) = -3*v + 3. Suppose -4 = -3*d + 5*j + 4, -j = 5*d + 24. Give d*f(t) + 10*y(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 6:19 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-147433*v + 5846*v**5 + 147433*v)*(0 - 2 + 3).\nAnswer: 5846*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 626*f*o**4 - 2*f*o**2 + 4*f*o - 3*f + 7*o wrt o.\nAnswer: 7512*f*o**2 - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65229 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - v + 1 + 2)*(-40*v**2 - 3*v + 2*v**3 + 1 + 143*v**2 - 40*v**2) in the form k*v**2 + h*v**4 + x + f*v + i*v**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4 - -1)\/((-2)\/(-22))?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 3897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 20*n**2 + 38*n + 39. Suppose 70*w = 75*w + 90. Let k be i(w). Suppose -k*t = 2*t. Is t less than or equal to -2\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**3 - v**3 + 2*v**3)*(0*v + 0*v - 2*v**2) - 19*v**5 + 0*v**5 + 2*v**5 - 5*v**5 + v**5 + 5*v**5.\nAnswer: -24*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - -1)*6\/(-4). Suppose 3*a + 7 = -t*j + 67, 3*a = -4*j + 65. What is the third derivative of 4*v**2 + 25*v**4 - a*v**4 + 7*v**2 + 0*v**2 wrt v?\nAnswer: 240*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1035*m*o**3 + 42*m*o**2 + m*o + m - 8411*o**3 - 1575*o wrt m.\nAnswer: -1035*o**3 + 42*o**2 + o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from qhqihvrvqqqrrq.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**2 - 68*b + 284. Calculate w(29).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*o**3 + 31*o**2 - 10*o - 4099?\nAnswer: 6*o**2 + 62*o - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -530 - -62c?\nAnswer: ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*h = 9, 0 = -2*h - 3 + 1. Let c(d) = -5*d + 41999*d**u + 0 + 3*d + d + 2. Let o be c(1). Round o to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 18 + 4)*(4 - 3 + 0)*(-12*n**2 + 6*n**2 - 3*n**2).\nAnswer: 153*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -10\/3, -3, -4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - f - 18 = 0, -2*d + 36*f - 33*f = -2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 + 928*q**2 + 123808*q + 3595520.\nAnswer: 2*(q + 40)*(q + 212)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**2 - 527*r - 26407. What is w(-196)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 66*v - 404 + 137 + 1196 + 1315 for v.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 101*n - 102*n + 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*r - 5*y = 21, 2*r + y - 14 = 0. Let f(w) = 2 - r + 3 + 2*w**2. Calculate the remainder when 47 is divided by f(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28244418?\nAnswer: 2, 3, 643, 7321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 468474 or 468473?\nAnswer: 468473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/40891499 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 280, 287, 306, 343, 404, 495, 622, 791?\nAnswer: 1008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16150409929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 1381*t**7\/7 - 2*t**5\/5 - 17*t**3\/3 - t**2\/2 - 30*t + 4982. What is the third derivative of j(a) wrt a?\nAnswer: 165720*a**3 - 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 656090?\nAnswer: 2, 5, 65609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**4 - 2117100*d**2 - 49977*d + 19 wrt d?\nAnswer: 12*d**2 - 4234200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4462 + -0.2538. Which is the closest to t? (a) -5\/3 (b) 1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 4. Let b be (f - 4) + 0 + 23. Suppose 37*t + 441 = 44*t. Calculate the highest common factor of b and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j**2 - 9*j - 3. Let s(a) = -20*a**2 - 39*a - 13. Let i(h) = 6*s(h) - 26*z(h). Let f(c) = -21*c. What is f(i(u))?\nAnswer: -210*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-23 + 24)\/((-2)\/(-20))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*q + 19*q + q**3 - q**2 - 3*q + 4*q**3.\nAnswer: 5*q**3 - q**2 + 107*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 936*s = -0*i - 3321 - 4167, -5*i + 1 + 31 = -2*s + 6*s for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 38*z**2 - 9*z - 3. Let m(u) = 78*u**2 - 19*u - 4. Let f(h) = 13*a(h) - 6*m(h). List the prime factors of f(7).\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 377842?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 5 + 10 + (-4 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1 + -3*-1*sqrt(1800) + -2*-3*sqrt(1800))*-1.\nAnswer: -270*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1039973547030023 - 2\nAnswer: -1039973547030025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, z: 2, s: 1, a: 3, p: 4, u: 6}. Give prob of picking 1 s and 3 u.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 28 = 5*j, 15*r - 6 = j + 10*r for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**9\/60480 - h**8\/4032 + h**7\/2520 + h**6\/144 + h**5\/15 - 3*h**2. Let n(l) be the third derivative of r(l). What is n(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*sqrt(396) + (-1 + sqrt(396) + sqrt(396) + sqrt(396))*1 + 2 - 6*(0 + (2*sqrt(121))\/sqrt(11) + sqrt(176)*-1))**2.\nAnswer: -144*sqrt(11) + 14260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2547?\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -798 divided by 7.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*o**3*t + 873050*o**3 + 37453*o**2*t wrt t.\nAnswer: -2*o**3 + 37453*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -433683879*l**3 + 1851876*l**2 + 51*l - 2 wrt l?\nAnswer: -2602103274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, 7, 15, -1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 272 - 245. Calculate the highest common divisor of c and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 908 and -4.\nAnswer: 904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 5:45 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 216\/144*14\/(-21)*2\/(-7)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 2:51 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**3 - 7*o**3 + 17*o**3 + o**3 + 8*o**3.\nAnswer: 22*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/128*(-2)\/(-5).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m = 17*m - 0*m - 40 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.04 (b) 2 (c) 0.1 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 + 15*t - 10.\nAnswer: -5*(t - 1)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q - 6. Let b(z) = -3*z + 11. Suppose -16*r + 27*r = -55. Give r*j(c) - 3*b(c).\nAnswer: -c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 4*i - 8. Let u be s(-6). Let y(z) = z**3 - 4*z**2 + 5*z - 6. What is the units digit of y(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5180 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -4319 greater than or equal to -99333\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 246773111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -82241\/14373 + -1\/3194. Let d = 3151724709\/78259 - 40273. Let p = d - -12599639\/2347770. Calculate the common denominator of t and p.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 79948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06615638 - 13934758?\nAnswer: -13934757.93384362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151120 is divided by 636?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 511 divided by 184\nAnswer: 511\/184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005055655 rounded to six dps?\nAnswer: -0.005056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 12*g + 7. Let s be a(-12). Is s + -2 + -1 - -387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*g + 4 = 0, 0 = -2*f + 3*f + 3*g - 4. Let j(m) be the third derivative of -m**5\/60 + m**4\/24 - m**3\/3 + m**2 + 2. Give j(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -10.6.\nAnswer: 4.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 14188*o + 152. Let a be j(-4). Round a to the nearest 1000.\nAnswer: -57000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5491577 to the nearest ten thousand.\nAnswer: 5490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4129 (base 14) to base 10\nAnswer: -11209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 + 14 = -12*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -c*m*s*w - 2*c*m*s - 184*c*m*w + m*s*w + 3*m*s - 18 wrt w?\nAnswer: -c*m*s - 184*c*m + m*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44740 is divided by 4971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8643 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -11.4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/1284 and -113\/2844?\nAnswer: 304308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.18 + 0.007. Let n = k + 1.013. Which is the second smallest value? (a) n (b) -0.5 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of c**4\/8 + 31*c**3\/6 + 6*c**2. Let k = -72 - -64. Let i be a(k). Solve -4*q = 9 + i for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 4*a - 4. Let d be 1\/2*(-23 - -1). Let y = 2215 - 2211. Let h(i) = 2*i**3 - 11*i - 11. What is d*b(m) + y*h(m)?\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4060 is divided by 800.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 3*x**2 + 4*x - 1 + 0*x. Let y be k(-4). Let a(b) = -2*b**2 - 31*b + 77. Let d be a(-17). Which is bigger: d or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-3) + (-85)\/51. Let g be 3\/(9\/6) - a. Solve g*z = 2*h + 5*z + 2, z + 11 = 4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = j - 2*j + h, 2*j + 3*h = 29. Let v be (8\/j)\/((-6)\/(-30)). What is the derivative of -3*q**4 + 1 + 4*q**4 + 3*q**v + 2 wrt q?\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 667334156?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 - -169\/3. Which is the closest to -1? (a) -5 (b) 3\/8 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343784608?\nAnswer: 2, 17, 101, 6257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -463 - -443. Let r = 29 + -48. Let j = o - r. What is the nearest to j in -3, 0, 3\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-3*((1 + sqrt(605) + 1)*1 + 5 + (sqrt(605) + -1 - sqrt(605))*2)*-5.\nAnswer: 450 + 990*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 14, 1, 20501, -9.\nAnswer: -9, -2, 1, 14, 20501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -840693*m**2 + 300502 wrt m.\nAnswer: -1681386*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -892*s + 91 = -886*s - 35 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 932022 and 3.\nAnswer: 932022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 3:05 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7086268, -7086253, -7086238, -7086223?\n\"Answer: 15*t - 7086283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 118 (b) 3 (c) 1\/2 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10232 is divided by 445.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/(-135))\/(3\/237) + -3. What is the third smallest value in -0.5, x, 4, -0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a decade?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k**3 - 101*k**2 - 7*k - 262. What is the tens digit of d(-27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3910)\/340*(-2666)\/(-989).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, u: 2, f: 2, g: 2, m: 3}. Give prob of sequence gm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22366a3 - 5?\nAnswer: 223669a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 140 and 5964?\nAnswer: 29820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*l + 16 + 3 = 0, 4*g - 29 = 3*l. Suppose m + 9 = g*z - 2*z, m = 0. Put 3\/4, -0.2, z in ascending order.\nAnswer: -0.2, 3\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4517.19576 - -4517. Round x to 3 dps.\nAnswer: -0.196","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -1348198*l. Let u(w) = -8*w. Determine u(s(g)).\nAnswer: 10785584*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -19. Let g = 167 - 156. Calculate the remainder when g is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**4 - 4 + 4)*(0 + 0 + 1) + (-2*h**2 - 2*h**2 - h**2)*(h**2 - 2*h**2 + 2*h**2) + 12*h**4 + 7*h**4 - 12*h**4.\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1094*t - 4*t**2 - 1800*t - 9 + 10 - t**2.\nAnswer: -5*t**2 - 2894*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-100)*5*-5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 58759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of 0 + 53*y**2 + 0*y**4 + 1\/60*y**5 - 2*y + 0*y**3. Let d(k) = 35*k**2. What is d(v(h))?\nAnswer: 35*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -405 - 64 = -71*w + 138*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/10 in 0.1, -3, 4, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1600, -1597, -1584, -1555, -1504?\n\"Answer: k**3 - k**2 - k - 1599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24\/48*694\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15850086*h**2 + 4114231*h - 1.\nAnswer: -31700172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.87029006 rounded to 4 dps?\nAnswer: -0.8703","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*d, -d = 4*t + 3*d - 96. Let b = t + 1. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 7*p**2 + 20*p + 14. Let g be c(-9). Let u(f) = 5*f + 1. Let j(k) = -4*k - 2. Let v(b) = 4*j(b) + 3*u(b). Determine v(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + 3 - 0) + (7 - 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3 + 5 = 0. Let c be l\/8 - 950\/40. What is the tens digit of ((-45)\/(-2))\/(c\/(-32))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.8 - -1. Let h = -1.2 + l. Let p = 3.95 + 0.05. Which is the nearest to h? (a) p (b) 0.1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64.3 - 9.3. Let c = -54.9906 + l. Round c to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b0 - -19a49a?\nAnswer: 19a3aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/21, -896\/317, 101?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-7))**(28\/5)*(j*(j\/(j*j**(1\/9))*j)\/j)\/(j\/((j*j\/(j**(2\/31)\/j))\/j*j)) assuming j is positive.\nAnswer: j**(-42932\/1395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, k: 7}. What is prob of sequence rkk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-5))\/((t\/t**3)\/t))\/(t**(2\/7))**41 assuming t is positive.\nAnswer: t**(-89\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 129417382 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 8310*q + 0 + 8312*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10028 and 10900?\nAnswer: 250700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 23. What is the second smallest value in r, 0.3, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 5)*(-4*x**5 - 3*x + 3*x) - 3*x**5 + 5*x**5 - 4*x**5.\nAnswer: -10*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 1 - 12\/(-6). Suppose -y - 15 = -2*v, -w*y = 3*v - 4*y - 22. Calculate the highest common divisor of v and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 10169259583 and 0.2.\nAnswer: 10169259583.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5 + (sqrt(2448)*-1 - sqrt(2448)) + -5 + -4*4*((sqrt(2448) + 0 - sqrt(2448)) + 0).\nAnswer: -24*sqrt(17) - 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3043.713 days to minutes.\nAnswer: 4382946.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 + -373?\nAnswer: -362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1252709 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**3 - 2*c**2 - 3*c. Let u(k) = -k**3 - k**2 - 3*k - 1. Let b(i) = 2*q(i) - 3*u(i). Let x(y) = -y**2 + 15*y + 181. Let w be x(-8). Calculate b(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39152482?\nAnswer: 2, 167, 117223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(19) - (sqrt(19) + sqrt(684)*1)**2).\nAnswer: -3*sqrt(19) + 2793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(2\/5)\/a))**(-38)\/(a**(-2\/19)*a**5) assuming a is positive.\nAnswer: a**(-6241\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -8, 7, 0 in increasing order.\nAnswer: -8, -2, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 c when four letters picked without replacement from cmjzfcjfjmzjmzj.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 + 26. Let g be 54\/o - -4 - (-15)\/13. Let u = 4 - 4.03. Which is bigger: g or u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37275\/4260 - (0 - 3)*-4\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a meter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 7 - 17. Suppose z*d + 17 = i - 3, 80 = 4*i + d. Solve -i = -2*k - 2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34210 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-7))\/(((-32)\/352)\/((-3528)\/308))?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 856 - -15?\nAnswer: 86b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**3 - 8 + 3*k**4 + 5 + 0 + (6*k**2 + 9*k**2 - 13*k**2)*(1 - 2*k**2 - 1).\nAnswer: -k**4 - k**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22880 and 65560?\nAnswer: 3409120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -18*h**2 + 337*h + 81. Let p be q(19). Which is the closest to p? (a) -0.5 (b) 0.4 (c) 0.31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23086232993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 6*((-96)\/18 - -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (60 - 59 - (8 - 1) - -11) + -11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1112*i - 1111*i - 25 + 20 - 42.\nAnswer: i - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-441)\/588)\/((-29)\/(-2204))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 684592640?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132790?\nAnswer: 2, 5, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 110 - (-4 + (-5 + -18 - (-2 - 6))).\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25.6 - 25.5. Which is the closest to -2? (a) 162 (b) -2\/7 (c) j (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 3204.\nAnswer: 3204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*u**4 + 2782*u**3 - 6520*u**2 + 1864*u = 0. Calculate u.\nAnswer: -466, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5718 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: Suppose 2*o + 2*u = 5*u + 6, 0 = 5*u. Suppose 4*c - o*y = 96, -5*y + 75 = 3*c - 8*y. Calculate the remainder when c is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/26)\/((-36)\/144).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1115*r + 1086*r + 1015 for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 17625*u - 17625*u. Let t(j) = 14*j**2 - 15. What is k(t(o))?\nAnswer: -196*o**4 + 420*o**2 - 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 7*f**2 - 33*f - 13. Is 13 a factor of n(-23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -5*o**3 - 4655*o**2 - 9290*o = 0.\nAnswer: -929, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4d05b8 + 0?\nAnswer: 4d05b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2820 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 15*z**2 - 11*z + 2. Let g = 7 + -6. Let k(n) = -n + g - 5*n + 8*n**2 + 0*n. Let a(r) = r**2 - 4*r - 10. Let u be a(7). Determine u*k(v) - 6*y(v).\nAnswer: -2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 129*(-5)\/90*912\/(-152)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -41459\/3 - -13820. What is the nearest to 0 in f, 6, 5, -33?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 10:48 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1168, 1160, 1142, 1108, 1052?\nAnswer: 968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.170899127 + 0.1709. Round i to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-10) - 3674\/(-110). Solve 0 = 34*k - s*k + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnsssnnnsny. Give prob of picking 1 y and 3 s.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 79*q**3 + 87 + 43*q**3 - 183*q**3 wrt q?\nAnswer: -183*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2275 - 5667*u + 5667*u - 20*u**2 + 2275.\nAnswer: -20*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -950*l**3 - 38*l**2 - 4*l. Let p(w) = -472*w**3 - 17*w**2 - 2*w. Calculate 4*k(u) - 9*p(u).\nAnswer: 448*u**3 + u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17.4 - 17. Sort -5, n, 0 in decreasing order.\nAnswer: n, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 9) to base 5.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t = -17*t - 20. Let 2\/3*r**t + 0 - 2\/3*r**2 + 0*r + 0*r**3 = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384628663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of 11*w**6\/20 - w**4\/24 - 109*w**3\/6 + 11*w**2 + w. Find the second derivative of q(g) wrt g.\nAnswer: 396*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3915649 and 1336.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 v when two letters picked without replacement from kovvo.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 9*f - 27 = 0. What is the first derivative of 7*t**2 + 10*t**2 - 16 + 13*t**2 - f*t**2 wrt t?\nAnswer: 42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1848\/(-252))\/((-4)\/(-12)). Let y(g) = g**3 + 23*g**2 + 19*g - 63. Calculate y(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13.88 + 13.98. Which is the nearest to 1? (a) 6 (b) -1\/3 (c) w (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*g**3 + 2*g + 3958 + 17*g**2 - 3958.\nAnswer: -73*g**3 + 17*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000026614746 rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-336)\/120)\/(0 - 14).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2766873931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) 1016\/69 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3646986324 to the power of 1\/2, to the nearest integer?\nAnswer: 60390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 2. Let l(j) = 21*j - 20. Let w(b) = l(b) - s(b). What is the tens digit of w(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10056 (base 9) in base 2?\nAnswer: 1100111010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3 - 5*g + 4*g + 2*g. Suppose -25 + 7 = -3*s. What is the smallest common multiple of s and y(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11333321223 (base 4) in base 8?\nAnswer: -5777153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*v**3 - 519*v**2 - 1231*v - 3720589.\nAnswer: 6*v**2 - 1038*v - 1231","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(4) - sqrt(16)\/(-2*sqrt(4))) + -5 + (sqrt(105)\/(sqrt(3)*2))\/(sqrt(378)\/sqrt(6)).\nAnswer: -5 + 5*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 19\/(-3) + 4\/12. Let r be (0 - 3)\/(k\/4). Differentiate 3 + r*o - o + 1 - 1 wrt o.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 88200348?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -6*i. Let x(o) = -11*o. Let u(b) = -14*l(b) + 6*x(b). Let y(g) = -g**2. Give u(y(q)).\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -292 - -296. Suppose 0 = 2*k + 3*m + 2*m + 13, -4*k + d*m + 44 = 0. Solve 5*g = 4*w + 17, 3*g - 3*w = -k*w + 21 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19405?\nAnswer: 5, 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/210 + (-36)\/(-10) + -3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2987 and 206.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*s**3 + 40*s**3 - 59*s**3 + (-2*s - 2*s + 2*s)*(-4*s**2 + s**2 + 5*s**2) in the form d*s**3 + t + r*s**2 + o*s and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1482, 1480, 1476, 1470?\n\"Answer: -k**2 + k + 1482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 86.45 + -0.45. Let x = z + -189. Let i = x + 102.9748. What is i rounded to three dps?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.065329 to one dp.\nAnswer: 9.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (57\/(-133))\/((-43)\/(-2107))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 9*n**3 - 15*n**2 - 2*n. Let o be (-1)\/3 + (-1991)\/(-33). Suppose 0 = 10*p - o. Let j(b) = 4*b**3 - 7*b**2 - b. Calculate p*w(d) - 13*j(d).\nAnswer: 2*d**3 + d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 5*k**2 + 9*k + 20. Let b be r(-6). Suppose -l - 5*n = -34 - 12, 0 = -5*l - n + 110. Differentiate -14 - l*c**b + 1 - 12 wrt c.\nAnswer: -42*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14123564 and 3?\nAnswer: -42370692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.1576*-0.263\nAnswer: 0.0414488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110, 517, 1212, 2207, 3514, 5145?\nAnswer: 7112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/130 - (-95370)\/(-112710).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -117?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-6)\/(-18) - 19930\/12)*408\/(-36).\nAnswer: 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1163 is divided by 243.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, s: 1, u: 3, k: 6, l: 1}. What is prob of sequence uuk?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 3*r - 6. Let g be z(-5). Let l = g - 6. Let n be 2 + 2 + 4 + l. Solve -m - 3*d + n = 2*m, -4*d + 13 = -m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 202 - 201. Let n = -1 - -1.1. Let t = n + 0. What is the third biggest value in z, -1\/4, t?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -4*u - 2*l, 6*u - 5*l = u + 35. Suppose i + 3*w = 86, -2*w + 236 = 3*i - 4*w. What is the greatest common divisor of u and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10.25 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, l: 2}. What is prob of sequence lj?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 413*p + 828. Determine i(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 13*v - 19. Let r be w(-11). Solve b - 5 = -g, 4*g = b + 7 + r for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 170 + -119. Differentiate -p - 43 - 65*c**4 + 115 wrt c.\nAnswer: -260*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-21) - ((-22)\/(-77))\/((-9)\/(-18))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5491 + 4583.379\nAnswer: 10074.379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -46 in -5, 1, 1.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 44 = 184. Suppose 3*u - 2*u - 156 = 3*m, 3*u = 0. Let i = m - h. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 111124 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 10:28 PM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/9 + 8\/(-12). Calculate the greatest common factor of 7 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 0 + (9 - 12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a532 (base 13) to base 5.\nAnswer: -1212411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000046154 to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 861205 + 574?\nAnswer: 861780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-10 - 7 + 21)*(-4*t - 17*t + 8*t) + 6*t - 25 + 25)*(0*t - 4*t + 2*t + (2*t - 2 - 4*t + 4*t)*(-3 + 1 - 1)) to the form j*t + c + q*t**2 and give j.\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2258090.\nAnswer: 2, 5, 225809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -206643\/16 - -12909. Let h be (-2)\/(-3) - 2566\/(-360). Let d = 77\/45 - h. Find the common denominator of d and g.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*j = 0. Suppose j*w - w = -1. Let o(s) = s**2 + 8*s + 9. Let i be o(-7). Which is smaller: w or i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**4 + 80*k**3 - 460*k**2 + 1120*k - 960.\nAnswer: -5*(k - 6)*(k - 4)**2*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 8*q + 15. Let c be n(10). Let w be (c + -4)\/((-9)\/6). Let r(j) = 5*j + 2*j**2 + 2 - 7 + 3. Let p(v) = -v. Determine w*p(u) + r(u).\nAnswer: 2*u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f - 5*f + 4*f)*(0*f + f - 3*f) + 5179*f**2 + 11522*f - 10052*f - 5182*f**2 to j*f**2 + q*f + r and give q.\nAnswer: 1470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 21627 = -2*h, h - a - 11765 = -953. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.63 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sxm when three letters picked without replacement from ovsmsnx?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 489 - 488.9385. Round w to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1128831, -1128827, -1128821, -1128813, -1128803, -1128791, -1128777?\nAnswer: -1128761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*s - 16 = 2*j, 0 = -5*j + 5*s - 55. What is the remainder when 46 is divided by (j\/(0 + -2))\/((-5)\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256987099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296443380?\nAnswer: 2, 3, 5, 269, 18367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/121353 and 76\/19161.\nAnswer: 364059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -5*p - 5*p. Solve p*s = -2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 1 + 5*k + 2*k**2 - 7*k + 1 + k**3. Suppose -2*b + 5 = -7. Let i(r) = -2*r**3 - 3*r**2 + 3*r - 3. Determine b*s(o) + 4*i(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -249, 54560, 2.\nAnswer: -249, 2, 54560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 9*q**2 - 11*q + 13. Is h(10) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 91518.1.\nAnswer: 91519.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -11. Suppose 5*q - 9 = l. Let u = -3 + -1. What is the closest to -2 in u, q, 0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.719 - -0.77. Let b = 2.949 + w. Let h = -5 + 7. What is the closest to h in 0.5, b, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x**5)\/x)\/x)**39*x*x*(x*(x\/((x\/(x\/x**(3\/5)))\/x))\/x)\/x*x\/(x\/x**(-10\/11)))**(-15) assuming x is positive.\nAnswer: x**(-25986\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 123?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2662381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/7)*a)**(-15)*(a*a\/(a**(1\/4)*a))\/a*a**(-1) assuming a is positive.\nAnswer: a**(-335\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/27 of a day?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a26062 - 1?\nAnswer: a26061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 8:27 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - -0.3. Let u = 0.1 - n. Let r be (-8)\/(-10)*(-5)\/10*1. Which is the closest to 0.1? (a) u (b) 1\/3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -t**6\/720 - t**5\/60 - t**4\/18 - 19*t**2 + 20. Let b(g) be the second derivative of r(g). What is o in b(o) = 0?\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.29 + -15. Let g = w - -0.21. What is the closest to -2\/3 in g, 4, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times -0.2?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2\/7, 0.1, 123, 52\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57790 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/17 (b) 0 (c) -50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/6)\/((-2)\/(-12)). Suppose -2*q + 5*r + 20 = 0, 17 = -3*q - 5*r - 3. Suppose q*p - t = -2*p + 19, -5*t = 5*p - 70. Is p <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20410, -82099, -184912, -328849, -513910, -740095?\nAnswer: -1007404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3*u + 4 - 1)*(-u + 3*u - 3*u + (3*u - 7*u + 2*u)*(-4 + 0 + 5)).\nAnswer: -9*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11049*w = 3*m - 11044*w - 154, -162 = m - 5*w for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -447, -795, -1141, -1485, -1827, -2167, -2505?\n\"Answer: v**2 - 351*v - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 100001111010101010100001 (base 2) to base 11\nAnswer: 5022a75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 545*g - 137*g = -451*g + 69386584. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 2:21 PM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**2\/7 - 328*g\/7 + 332\/7 = 0. What is g?\nAnswer: -83, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-630)\/(-2) + (-32)\/(-480)*0 and 9?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*r - 1540 = -103*r - 116*r for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.02 + 1.02. Let n = 0 + q. Which is the closest to n? (a) 0.4 (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21467644*d**2 + 2981610*d wrt d.\nAnswer: -42935288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 696.69cm to kilometers.\nAnswer: 0.0069669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 27*h**2 - 2. Let u(t) be the first derivative of -22*t**2 - 5861. Calculate w(u(y)).\nAnswer: 52272*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 90, 204, 396, 666, 1014, 1440?\n\"Answer: 39*g**2 - 3*g + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k + 425*k**3 + 5976 - 5978 - 113*k**3 + 2*k**2 to s*k**2 + b*k**3 + w + z*k and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12a998 + -1a?\nAnswer: 12a97a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 3*n + 42. Which is the smallest value? (a) n (b) -0.3 (c) 57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of h**7\/180 + h**6\/720 - 32*h**4\/3 + 58*h. Let f(m) be the third derivative of v(m). Determine f(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74 times -0.10927096\nAnswer: -8.08605104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -0.3, 5, -0.59, 3.629 in increasing order.\nAnswer: -0.59, -0.3, -1\/5, 3.629, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37\/(-407)*22)\/(156\/30)?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 347699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3887100875.\nAnswer: 5, 7, 4442401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 27088\/(-6314) - -3. Let w = k - -2\/451. Put w, -1\/4, 1\/3 in decreasing order.\nAnswer: 1\/3, -1\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -4*p + 4, -30*p - 2 - 3 = 5*f for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21353008 rounded to 3 decimal places?\nAnswer: 0.214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -1 + 10 + -11 + -2697 + 2717?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 10:04 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 2*x + x - 20, 0 = 3*p - 5*x + 8. Let j(c) = -2*c - 9. Let a be j(p). What is the second derivative of -8*g**a + g + 8*g**3 + g**4 wrt g?\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 + -65. Let t = -47 - c. Let u = -14.9991 - t. What is u rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xzc. Give prob of sequence czx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60038*c = 60032*c - z - 37, 11*z = 3*c + 7 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 3. Let a(u) = u**2. Let r(m) = 4*a(m) + c(m). Find the first derivative of r(l) wrt l.\nAnswer: 10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 19859292335.471 and 0.8.\nAnswer: 19859292336.271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -49*z + 93*z - 352 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 726*c**2 - 8*c. Let o(d) = 1450*d**2 - 14*d. Give -4*o(j) + 7*z(j).\nAnswer: -718*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 15*g**2 - 8*g - 14. Let s(i) = 5*i**2 + 2*i - 5. Let p(x) = x. Let v(a) = -5*p(a) + s(a). What is 3*l(o) - 8*v(o)?\nAnswer: 5*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 3. Let o(z) = z**2 - 19*z + 3. Let t(v) = -2*v. Let n(w) = -o(w) + 4*t(w). What is the remainder when 82 is divided by n(a)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72678 is divided by 8073.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -11*l**8\/1680 + 11*l**4\/24 - 4*l**3 + 4. Let p(w) be the third derivative of q(w). Differentiate p(n) wrt n.\nAnswer: -44*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + -1)*3.\nAnswer: -3 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 3:27 PM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of c**2 - 5*c + 2. Let d be v(4). Let s = d + 1. Solve f + 9 = s*n - 4, 3*n = -5*f + 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/50 of a kilometer?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 2.5, -2, -0.4?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/5449 and 83\/5874022.\nAnswer: 5874022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 + 32.86. Let u = -263.089 - -263. Let x = v - u. Is 1 less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 minus 1918858982?\nAnswer: -1918858874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 9 + -16 + 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 6, x: 1, v: 3, e: 1, f: 3}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*v - 10. Suppose -v*r = -10*r. Suppose -5*z + 5 = 2*x, -2*z - z - 15 = r. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229*r + 5840 = 594*r. Solve 1725*j = 1717*j + r for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.09 - 0.49. Let x = 0.04 + a. Let l = -0.04 + x. What is the closest to 0 in 0.5, l, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - 10. Let f = k - -41. Suppose 17*h = 201 + 904. Calculate the remainder when h is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2101385 to the power of 1\/2, to the nearest integer?\nAnswer: 1450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = j + 21. Let m = j - -33. Let f = 28 - m. What is the greatest common factor of 12 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 3*w + 2. Suppose k + 23 = w*l, 0 = -5*l - 3*k - k + 51. Suppose i = 3*i - 20. Calculate the lowest common multiple of l and i.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -2, 4, 268, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 131 - 130. Is 49 at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*k**3 + 37*k**3 - 85*k**3 + 48*k**3.\nAnswer: 92*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3858782 by 4666.\nAnswer: -827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -264 - 2. Let t = -298.9 - j. Let z = t + 32.8839. What is z rounded to 3 dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4*u + 136 = 19, h + 3*u - 31 = 0. Suppose 0*l = -2*l + 4*t + 28, t = 5*l - h. Solve -x = -2*x - l for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4836 - -4831. Let q = 0.19 - 11.19. What is the third smallest value in y, q, -1, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2815757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6344852, 6344853, 6344854, 6344855?\nAnswer: 6344856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 937 + 15312856.\nAnswer: 15313793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1106, 2218, 3330, 4442, 5554, 6666?\nAnswer: 7778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 7*x**2 - 2*x**2 + 3*x**2.\nAnswer: 8*x**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b**3 - 75490*b**2 - 14207725*b - 672723500 = 0. What is b?\nAnswer: -14908, -95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 97400 rounded to the nearest one thousand?\nAnswer: 97000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (93\/(-15) - -5)\/((-10)\/325). Sort 4, -2, c, 0 in increasing order.\nAnswer: -2, 0, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**2 + 16 - 18*r - 7 + 9*r - 7 - 5*r as v*r**2 + z*r + n and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3565.9 - -3792. Let l = g - 226. Let n = 0 + 0. What is the third biggest value in 0.5, l, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-348)\/(-116))\/(-1 - 490\/(-484)) and 13.\nAnswer: 3146","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*j**4 + 9*j**3 - 1455*j**2?\nAnswer: 768*j + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1601\/21 - -233\/3. Let w = -3 - -4. Is w bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 11128*o**3 - 85*o + 260. Is f(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6032)\/312)\/((-8)\/(-36))?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -x - 5, -15 = -0*a - 5*a - x for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -5 (b) 0.1 (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 + 123296*y - 241736*y + 121473*y in the form k*y + p*y**2 + d and give k.\nAnswer: 3033","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 2\/2 - -13. Suppose -2*d + l = 2*d. What is the third derivative of -f**2 + 0*f**6 + d*f**6 - 2*f**6 wrt f?\nAnswer: 240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 725351, 1450711, 2176071, 2901431, 3626791, 4352151?\nAnswer: 5077511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -330 (base 4) to base 9\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/2)\/(974865\/(-252318))?\nAnswer: -22\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 11*q. Suppose 3*y = -2*y + 20. Suppose -j - 4 = 0, -5*v - j - y + 10 = 0. What is the lowest common multiple of v and x(10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) + (sqrt(21) - (sqrt(126)\/sqrt(3) - sqrt(42))\/sqrt(2)))\/(sqrt(24)\/sqrt(32)))**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 383 + 6?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/4)\/(11\/484). Solve 0 = -x + 5*o + p, -4*x + 28 = -0*x - 5*o for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3484*x**4 - 2*x**3 - 1105071*x.\nAnswer: 41808*x**2 - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + 28. Let f be 27\/5 - 4\/s. Let u(r) = 6*r**2 - 22*r - 2. Let q(l) = -5*l**2 + 18*l + 2. Let i(d) = -5*q(d) - 4*u(d). Calculate i(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -7*o + 3*o. Let y = 3 - -7. Suppose -2 = 4*r + y. Which is smaller: r or o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 8*j**2 - 3*j - 6. Let u be h(-8). Suppose 2*t - u = -t. Calculate the smallest common multiple of 9 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 608 divided by 608.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4 + 5 = 0. Suppose -3*z + 4*z - 11 = -2*k, -k + r*z + 23 = 0. Let o be (-5)\/((-10)\/k) + -2. Solve -3*s = o*q + 2, -2*q + 7*q = 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 d when four letters picked without replacement from {f: 1, b: 3, l: 1, q: 4, d: 3, g: 6}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 27*d**2 - 3*d - 293. What is the thousands digit of i(16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18839 - 94192\/5. Which is the fourth smallest value? (a) -0.2 (b) -0.025 (c) -11 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -151400*o**3 - 121109 wrt o?\nAnswer: -454200*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33 - 2242414132?\nAnswer: -2242414220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -118 - -111. Let z(i) = -25*i + 350. Let f be z(w). Which is smaller: 526 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14202873 and 14607.\nAnswer: 42608619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 + -9. Suppose 0*x + f = 3*x. What is the greatest common divisor of 110 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 15 = 8*n - 5*p, -3*p = 3*n. Let m(i) be the first derivative of -1\/3*i**3 + 4*i - 2 - i**2. Calculate m(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 242 or -1109?\nAnswer: -1109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -159 - -145.4. Let m = -14.039 - -0.039. Let l = m - f. Which is smaller: 2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*q - 3*v, q = -q - v + 11. Let j(n) = 3*n + 2. Let c(p) = -p - 1. Let r(u) = 17*c(u) + 6*j(u). Calculate r(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.43 - 2.57. Sort 6, -0.4, d in descending order.\nAnswer: 6, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 7*t. Let c(b) = 34*b**2 - b - 1. What is c(g(y))?\nAnswer: 1666*y**2 - 7*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-10)*207\/((-72036)\/8410)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4755 + -4740. Let o be (-5)\/(-4)*(1 - -3). Solve -5*w - j = -o for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 215, 0, -33, -2 in decreasing order.\nAnswer: 215, 0, -2, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 1\/4 (b) 8 (c) -10443\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**4 + 98*v**3 - 4484*v**2 - 29408*v - 40128 = 0. Calculate v.\nAnswer: -76, -4, -2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 11:01 AM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z = -8*z + 5, 0 = 3*g - 3*z + 21 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82, -257, -548, -955, -1478?\nAnswer: -2117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*f - 20*f - 1104. Is 0.1 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/42 and 19\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 e, and 2 b when four letters picked without replacement from {z: 3, b: 4, y: 3, c: 1, e: 2, u: 2}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.004 in -0.2, -5, -2038, 0.5, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/(-117) - 284830014\/91. What is y rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 51180278?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2301 - 1224?\nAnswer: -4030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4153805, -4153813, -4153833, -4153871, -4153933, -4154025, -4154153?\nAnswer: -4154323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1658684749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -1) + 35 + -36 - -6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 18*j**2 + 344*j - 7717. Determine l(20).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 - -37. What is the greatest common factor of n and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*(-40)\/(-784)*((-72)\/15)\/(-4)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 6*k - 8. Let t(x) = -2*x + 4. Let i be t(0). Let p be w(i). Let y be 2\/5 - p\/(-60). What is the closest to -1\/4 in y, -1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*6\/100)\/((210\/770)\/(20\/4)).\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*w + w + w + 0*w + 3*w - 5*w + 2*w - 2*w + 5*w + (-4*w + 2*w + 3*w)*(-1 + 1 + 2) to the form r + x*w and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 122*j + 5 - 3 - 62*j to b*j + n and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.101 times 0.360127?\nAnswer: 0.036372827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/151 in 3, 2\/7, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17018961 is divided by 322.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 115 (b) -862 (c) -4 (d) 3 (e) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7652 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105751125?\nAnswer: 3, 5, 23, 61, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6208*m**2 - 17196*m**2 - 35748*m**2 - 18725*m**2.\nAnswer: -65461*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -701692 (b) -5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 411*q - 410*q + 3, 4*q = 4*m + 20 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 94463.\nAnswer: -4\/94463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 230114723403 and 0.53.\nAnswer: 230114723403.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*t + 1)*(2 + 2*t - 2)*(-t + t - 5*t).\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 2*t - 4. Let r be d(4). Let w be (-1 - r)\/((-1)\/1). Calculate the greatest common divisor of w and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 6*a - a - 4*a. Let x(t) = -6*t. Calculate 21*h(z) + 3*x(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(5*-4))\/(-8*(-66)\/(-3960)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/10 and 119\/1030.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 142021 (base 5) to base 14\nAnswer: 2206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*s = 8, -3*b + 7*b = 3*s - 12. Let m(x) = -x + 8. Let n be m(5). What is the first derivative of -n + b*a**3 - a**3 + 2 wrt a?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 96196 (b) 4 (c) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = n - 5. Let z be -1*(-1 + 2) + 3. Suppose 4*y + 26 = 5*x, 27 = 5*x - n*y + z*y. Which is the closest to 0? (a) 2\/19 (b) 0.3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -54, -48, -42, -36, -30?\n\"Answer: 6*m - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 151494+0.781364531\nAnswer: 151494.781364531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2291 - 1306. Let h = 985.00000894 - w. Round h to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 139307?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 10*k**2 - 77*k - 165. Let n be l(24). What is the highest common factor of n and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 - 1.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006076849792 rounded to 7 dps?\nAnswer: 0.0060768","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54625?\nAnswer: 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*z**3 - 11*z**3 + 7*z**3)*(0*z**2 + 2*z**2 - 4*z**2 - 2*z).\nAnswer: 34*z**5 + 34*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 17376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1980914 to the power of 1\/2, to the nearest integer?\nAnswer: 1407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i - 4 + 4)*(-1 - 2*i**2 + 1 - 2) + (19*i + 48 - 48)*(0*i**2 + 3*i**2 + 0*i**2) to f*i + q*i**2 + k*i**3 + a and give k.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.634 and -1079.\nAnswer: 684.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 3)\/((12\/3)\/4). Suppose -15 = 5*l, 3*l = -m*u + 4*l + 957. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 494511 or 989021\/2?\nAnswer: 989021\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 154039274?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5305 - -17332.4696\nAnswer: 12027.4696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6364 is divided by 378.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of n**4\/4 - 4*n**3\/3 + 2*n**2 - 3*n. Does 12 divide p(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34039861\/126 - 270159. What is the common denominator of -89\/36 and w?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38.15 - 38. Let n = 0.27 - g. What is the third smallest value in n, 1\/3, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62540 and 133825?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s + 1834. Let r(g) = 59*g**2 + 2. Give p(r(f)).\nAnswer: -177*f**2 + 1828","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 1\/2*j**4 - 2\/15*j**5 + 0*j - 2\/3*j**3 + 1\/3*j**2 + 3. Factor r(u).\nAnswer: -2*u*(u - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7431.2 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3617713*-4.\nAnswer: 1.4470852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -58, -136, -340, -742, -1414, -2428, -3856?\n\"Answer: -12*i**3 + 9*i**2 - 21*i - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48) - sqrt(192)*5)\/(sqrt(75)*2))\/((sqrt(288)\/(sqrt(12)*2))\/sqrt(108)).\nAnswer: -54*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(9\/3)*-5. Suppose -r - 3 = -4*p. Is (p\/(-3))\/((-4)\/186) 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 {a: 4, g: 3, n: 3, u: 4}. Give prob of sequence guau.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/3 - 75\/(-9). Let u be 0 - (z - 3) - -2. Let l(r) = 2*r + 7. Let d(p) = -p - 7. Let x(s) = 5. Let j(c) = 5*d(c) + 4*x(c). What is u*j(k) - 7*l(k)?\nAnswer: k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-216)\/(-42660))\/((14\/1925*11)\/((-4)\/(-10))).\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1444141552 to the power of 1\/5, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*v = 6*c - 6, 2 = 3*c - 4*v. Let r be 7 - ((-5)\/5 + 21). Let q be (-67)\/r - 52\/338. Solve 0 = -c*k + q*k - 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**4*v**3 + 700284*p**4 + 171621225*p*v**3 wrt p?\nAnswer: 24*p**2*v**3 + 8403408*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, m: 2}. Give prob of picking 2 m.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o**2 - 6. Let h = 5 - 0. Suppose -h*j + z + 4 = -2*j, -2 = j + 3*z. Let t(q) = 1. Suppose 0 = -10*c + 43 + 17. What is c*t(a) + j*i(a)?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 26\/2)\/(-1). Let z be -2 + (2 - 9)*-5. What is the highest common factor of x and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -17064\nAnswer: -1\/2844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 113?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27626*0.3.\nAnswer: -8287.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a + 1. Let p be f(1). Let c(o) = o**3 - 3*o**2 + 3*o. Let n be c(p). Differentiate 2 + n*g**4 - 5 - 1 wrt g.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15.85 - -13.85. Which is the fourth smallest value? (a) g (b) -3 (c) 0.02 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = -2*c. Let 6\/11*u**2 + c + 2\/11*u = 0. Calculate u.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -6, 2, 8, 363, -1.\nAnswer: -6, -1, 2, 6, 8, 363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -14*d - 453. Determine h(-32).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -128538.9 rounded to the nearest 100?\nAnswer: -128500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 + 8 + (-13 + 4)*(-11414)\/78?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (338\/4)\/(-13)*10\/(-5)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18a686 (base 11) in base 14?\nAnswer: -78753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 995\/275 + 5662\/(-1490) - 998\/(-44).\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -213 - -220. Suppose 177046 = q*y + 24656. What is y rounded to the nearest one thousand?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*j - 3 + 3)*(0*j + j + 0*j) - 5*j**2 - 13*j**2 - 5*j**2 as b*j + o + a*j**2 and give a.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 125500808*o**3 + 52036694*o**2 wrt o?\nAnswer: 753004848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1249589041*i**3*k*t - i**2*k*t - 6*i**2*k - 5*i*k + 39*i - 37002*k*t - t wrt i?\nAnswer: -7497534246*k*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/(sqrt(20)\/sqrt(4)) + 4)*-2 + ((sqrt(720))**2 - (2*sqrt(60))\/sqrt(12)).\nAnswer: -4*sqrt(5) + 712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - 2*m + 24, -6*h - 33 = 15528*m - 15531*m for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 104*g**3 - 13*g**2 - 13. Let h(c) = 53 + 1941*c**3 - 1967*c**3 - 50 + 3*c**2. Determine 13*h(m) + 3*y(m).\nAnswer: -26*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - 1. Let z be t\/35 + 60\/14. Suppose 0 = -4*y - 5*w + 53, -3*y + 0*y + 41 = z*w. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 2*q - 918*g + 915*g, 7*q + 3*g = 45 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 75763803 to the power of 1\/2, to the nearest integer?\nAnswer: 8704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i + 93 + 33 = 0. Let m(k) = -k + 9. Let t be m(6). Suppose 4*n + 0*r - 15 = t*r, 5*r = -2*n + 1. Put n, 0.07, i in decreasing order.\nAnswer: i, n, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -x - 15264, 3*x - 6092 = -2*m - 0*x. What are the prime factors of m?\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c + 4*c + 3*c - 15 - 4*c. Let m be r(11). What is the tens digit of (-126)\/(-21)*m\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 2*g**2 - 2*g - 10. What is b(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j + 1 - 1)*(2 - j - 2) + (390 - 390 - 96*j)*(2*j + 3 - 3) as k*j**2 + s*j + b and give k.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 3, 0 = 3*w + 5*k - 680 - 973. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {d: 1, b: 4, j: 1, z: 1, a: 1, k: 5}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 5*r + 89 + 222, 4*r + 12 = 0. Suppose -j = -g + 41, 2*g - 4*j - q = -0*g. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 6*r = -9. Sort -1, -2, r.\nAnswer: r, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 692689409?\nAnswer: 692689409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.7102925 - -0.71. What is c rounded to 5 decimal places?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1020\/(-18)*142\/(-1420)?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21016, 41694, 62038, 82048?\nAnswer: 101724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3704*c**2 - 3705*c**2 + c - 6*c. Suppose 4*u = 4*k, -3*k + 2*u - 3 = 2. Let r(j) = j**2 + 6*j. Let y be (-19)\/3 - (-1)\/3. Determine k*r(h) + y*x(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = 2*g + 10*g - 22*g. Solve 4\/7*a**5 + 0 + 0*a**4 - 4\/7*a**3 + 0*a + g*a**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -232\/5 - -238\/5. Let g = -8.3 - 1.7. What is the second biggest value in y, -1\/6, g?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 2:34 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m + 13*m + m - m.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -5*o. Let y(u) = -1 + 2 + u + 4*u - 4. Let d(z) = 16*z - 10. Let m(g) = 3*d(g) - 10*y(g). What is q(m(v))?\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39348, -78926, -118504, -158082?\nAnswer: -197660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 560 = -0*i. Suppose 34*w - 29*w = -525. Let m = i + w. What are the prime factors of m?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qqqqqqqqqqkqqqqqqqq.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 60, -32, -18014 in descending order.\nAnswer: 60, -32, -18014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -22210202 (base 3) in base 13?\nAnswer: -2bca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/7, 20, 1, -2, 6, -2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/152 - (-120)\/(-57)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392031120 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 1109540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.39802246 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 28. Suppose 3*h = 3*z + 24, -5*h - 4*z - 11 = -2*h. Suppose -15 = -h*c, c + 30 = 4*d + 3*c. What is the remainder when y is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -191 divided by 535.\nAnswer: -191\/535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9510684 kilograms to micrograms.\nAnswer: 951068400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 68 - -20. Suppose n - s = 243. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*f = 2, -2*c + 3*f + 164 = 136. Solve q + 5*o - 26 = 0, 5*q = -c*o + 24 + 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -410591*a**2*g**3 - 6*a**2*g**2 + 4539*a**2 - 3 wrt g?\nAnswer: -2463546*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**2 + 259 - 127 + 8*n**2 - 132.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 21 = -2*w, -4*w - 51*f + 22 = -49*f for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36123644.\nAnswer: 2, 9030911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6\/7, 1, -0.2, 5 in decreasing order.\nAnswer: 5, 4, 1, -0.2, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 338, -5, 0.\nAnswer: -5, -1, 0, 338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 + -44.4. Let d = h - -1.51. Is d bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -1107*s - 18. Let a(b) = 1106*b + 22. Determine 4*a(q) + 5*j(q).\nAnswer: -1111*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 264 and 20925927?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -5*g + 14 + 6 - 14 + 2*g. Suppose 8 = 2*j, 4*t + 15 = 3*t + 3*j. Does 9 divide q(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/1531865 - -3227333184\/1531865. Let x = -2096 + c. Factor 224\/5*o + 64\/5 + 32*o**2 - 144\/5*o**3 + x*o**5 - 108\/5*o**4.\nAnswer: 2*(o - 2)**2*(3*o + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.879217498 to 3 decimal places.\nAnswer: 3.879","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1665 and 9472.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 5*i**2\/2 + 3*i + 27. Let k be (4\/(-12))\/((-1)\/(-3)). Let m(c) = 1. Let v(t) = k*a(t) + 5*m(t). Differentiate v(o) wrt o.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 7029753?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 57028733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 2*q - 430, -2*h - h + 5*q - 355 = 0. What is the tens digit of 88\/h - 13872\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -213*n + 35593. Give i(167).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*0.056.\nAnswer: -0.0112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*u - 2*p - 10 = -39*u, -3*u - 4*p = -13. Solve -3*a - 3 = i, -3*i - 9 = 2*a - u*a for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/70)\/((-18)\/(90\/1))?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of y**6\/3 + 28*y**5\/15 + 4*y**4\/3 - 32*y**3\/3 - 80*y**2\/3 - 64*y\/3 + 14. Solve m(i) = 0 for i.\nAnswer: -2, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 - 3236571?\nAnswer: -3236556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -691150, -1382308, -2073466?\n\"Answer: -691158*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/246?\nAnswer: 1\/246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 70333433*h*l**3*o**2 + 1034*l**3*o**2 + 3*l**2*o**2 - 3*l**2*o - 38*l**2 - l*o - o wrt h?\nAnswer: 70333433*l**3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000023534 to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 1 - (10 + (8 - -4 - 24))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + w**2 - 36 + 2*w + 16*w**2 - 2*w**3 + w**3. Let n be i(16). List the prime factors of n*(-4)\/(-8) - -11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49 - -69. Calculate the remainder when c is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 4, 1, 5, -3, 13 in increasing order.\nAnswer: -3, 1, 4, 5, 9, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**2)\/((u**(-8)\/u*u)\/u))\/(u*u**31)**(-19) assuming u is positive.\nAnswer: u**616","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 33 = -2*m + 269, 0 = 3*x - m - 441. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*x**4 - 1401*x**3 - 3888*x**2 + 8196*x + 10704 = 0. Calculate x.\nAnswer: -446\/7, -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 27*g**2. Let s(k) = 729 - 1385 + 659 + 30*k. Determine s(a(v)).\nAnswer: 810*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -l**4\/2 - 11*l**2\/2 - 3*l. What is the first derivative of s(w) wrt w?\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54 + 1639. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1136 = -4*n - 4*j, 0 = -n - 5*j + 186 + 118. Calculate the greatest common factor of n and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2035, 2033, 2031, 2029, 2027?\n\"Answer: -2*z + 2037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*i - 162*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 3*z - 3, -j - 6*z + 3*z = -15. Let k(c) = 14*c**2 + 168*c**2 + 16 - 2*c + 13*c**2 + 32*c**2. Is k(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*m + 49*m - 89*m - 52*m**2 in the form a*m + q + w*m**2 and give w.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 531892, 2127766, 4787556, 8511262, 13298884, 19150422, 26065876?\n\"Answer: 531958*y**2 - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4152*b**3 - 8423 + 8423.\nAnswer: 4152*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1178 - 698. Round t to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5417 is divided by 95.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**33\/(((t\/t**(-10))\/t)\/t)*(t**(-27)*t)\/((t\/((t\/(t*t*(t\/(t**(-31)*t))\/t))\/t))\/t) assuming t is positive.\nAnswer: t**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*o**2 + o**2 - 2*o**2)*(-1 + 1 + 4*o) + (-o + 4*o - 4*o)*(-4*o**2 + 4*o**2 - o**2) in the form z + f*o**2 + m*o + c*o**3 and give c.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 375*l**2 - 54*l - 2946. Let n(x) = -56*x**2 + 8*x + 421. What is 4*g(v) + 27*n(v)?\nAnswer: -12*v**2 - 417","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22857379241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 - -49. Solve -2*s + a*u = -10, -8 - 2 = -2*s - 3*u for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -161607, -161572, -161569, -161592, -161635?\nAnswer: -161692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(70)\/(sqrt(90)\/sqrt(9))).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 114, -56, -4, 30, -1, -2, 2 in decreasing order.\nAnswer: 114, 30, 2, -1, -2, -4, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63437644.\nAnswer: 2, 149, 163, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -37.54.\nAnswer: -150.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 2*o + 3*o - 2*i, 4*i = 2*o - 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -9*r + 18. Suppose -r - 49 = -6*k. Let -3 + 125*c**3 - 15*c - k*c**2 - 126*c**3 + 28 = 0. Calculate c.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5850828*h**3\/5 + 1560210*h**2 - 2600296*h\/5 - 24\/5 = 0.\nAnswer: -3\/325046, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -21*z. Let i(c) = c. Let q(j) = 3*j. Let k(s) = -5*i(s) + 2*q(s). Determine -18*k(d) - p(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*b**4 - 269*b - 2?\nAnswer: -336*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 30 - 75 = 0. Suppose 0 = -2*g - g + l. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-6 - (2 + -8)) - -6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**5\/2 + 29*u**4\/12 - 138*u**2. Find the second derivative of n(p) wrt p.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3*f = 5*f - 2, 3*f = -3*n + 18. Suppose n*w = -3*w + 75. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - m - 2. Let o be (-96)\/14*(99\/(-18) + 2). Suppose 4*r + 15 = -5*b, 3*r - 26*b + o*b - 6 = 0. Determine l(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.04 (b) 5 (c) 153\/7 (d) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 1\/8, 1, -92, -0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(4\/7)\/(g\/g**(-4\/13)))\/((g**(-4\/13)*g)\/g*g**(-3\/8)))**15 assuming g is positive.\nAnswer: g**(-45\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 7:48 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17989*v - 29201 = -18488*v - 8742 for v.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of r**7\/840 + r**6\/360 - r**3\/2 - r. Let m(p) be the second derivative of y(p). Suppose m(w) = 0. Calculate w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1063937?\nAnswer: 7, 21713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*l = -13, 13*a - 7*l - 39 = 8*a. Let m(s) = 6*s**2 - 23*s - 17. Calculate m(a).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 0*l**3 + 13*l - 1\/2*l**4 + 0 + 13\/20*l**5 + 1\/6*l**6 + 0*l**2. Factor f(b).\nAnswer: b**2*(b + 3)*(5*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-5 + 0) - 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**2 - 109*j + 126. What is d(19)?\nAnswer: -862","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4776\/(-7761) - ((-16)\/10 - (26\/(-10) + 3))?\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 154340\nAnswer: 617360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -3, -29 in decreasing order.\nAnswer: -1, -3, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 53181320 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 - 83 = 21*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-5 - (13 - (8 + 0 + -1))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5316.5mm in micrometers?\nAnswer: 5316500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -15*z + 39*z - 12*z - 4 - 14*z. Determine c(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -k**3\/6 - 5*k. Suppose -45*f + 4*r = -40*f - 42, -4*f = -r - 27. Calculate d(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34.7 - 226.7. Let p = w - -191.8. What is the nearest to -0.2 in 0, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = -3*f + 20. Does 17 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**9)**(-48)\/(((h**(-22)*h)\/h)\/(h**(-11)*h)) assuming h is positive.\nAnswer: h**(-420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 11:04 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 162 and 9?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1019 + -943. What is the greatest common factor of r and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (44\/(-12) - -3)\/(-2). Factor -2\/3*a**3 - 1\/3*a**4 + 2\/3*a**2 + 1\/3*a**5 + g*a - 1\/3.\nAnswer: (a - 1)**3*(a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1118169 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 24338162 divided by -785102\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 2*o + 0*o)*(-o - 1164 - 149 + 375).\nAnswer: o**2 + 938*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -779*s**5 + 531*s**2 - s wrt s.\nAnswer: -46740*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 16*k = 15*k + 24, 4*b + 4*k = 44. Solve -13*j + b + 0 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -6*s**3 + 27*s**2 - 3*s - 13. Give i(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2319.3 plus -0.12?\nAnswer: 2319.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 34. Does 17 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of p**5\/60 + p**4\/8 + p**3\/6 + 8*p**2. Let w be q(-4). Suppose 3*n - w*n = -58. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29.87 in 2\/7, 2\/25, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of x**5\/12 - 17*x**3\/6 - 5*x**2 + 11. What are the prime factors of b(-9)?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v + 8*v = -2*j - 2, -4*j + 4 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -43*f + 42. Let d(y) = -64*y + 63. Let k(x) = 3*b(x) - 2*d(x). Let h(g) = 4*g - 2*g - g. What is h(k(t))?\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in three fifths of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10*((-18)\/(-12))\/3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*d*i**2*o + 1072*d*i*o**3 - 79*d*i*o**2 + 2*d*i*o + 41*i**2*o**3 - 2*i*o**2 wrt o.\nAnswer: 6432*d*i + 246*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 789*q - 70269. Calculate b(89).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -7*w**2 + 3*w. Let i(x) = 6*x**2 - x. Let m(b) = 4*i(b) + 3*o(b). Let v(p) = -8*p**2 - 14*p. What is -17*m(r) - 6*v(r)?\nAnswer: -3*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194*m**2 - 100*m**2 - 111*m**2.\nAnswer: -17*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1191, -1200, -1215, -1236, -1263, -1296?\n\"Answer: -3*x**2 - 1188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 623 = -1781. Let k = 830 + n. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 1)*((4 - 2 + 1)*(-o - 7 + 7) - 3*o + 2*o + 3*o)*(-3*o**2 + o**2 + 3*o**2).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10682?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/27 - (-8)\/9)\/((-859)\/(-481899)). Calculate the highest common factor of y and 869.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g + 0*g - 64 = 0. Suppose -5*z + g*z = -23. Let t(q) = q**3 - 23*q**2 - 31. Let h be t(z). Round h to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 2:37 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(1*-3) - (16 - 2). Let j = l - -16. Which is the second biggest value? (a) -2\/5 (b) 1 (c) j (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*z - 86 = -15*z. Solve -z*g = -7*g + 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52\/3 + -17. Factor 0*u + b*u**3 + u**4 + 0 - 2\/3*u**2.\nAnswer: u**2*(u + 1)*(3*u - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -10*j**6\/3 + j**2 + 14. Find the second derivative of f(i) wrt i.\nAnswer: -400*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 1192*h + 6975. What is g(-6)?\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k. Let f be m(3). Let u(p) = 6*p**2 + 11*p - 1 + 5*p**f + 5*p**2 - 9 - 4*p**3. What is the remainder when u(-9) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 529236.5 litres?\nAnswer: 529236500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -16*h - 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/41 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11457*c = -11464*c + 28 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1270?\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s**3 - 2*s**2 + 6. What is i(3)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**3 + 442 + a**3 - a**3 - 19*a - 442.\nAnswer: -2*a**3 - 19*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.216627144 - -1832.\nAnswer: 1831.783372856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 121.5\nAnswer: -24.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3\/4 (b) 0.02 (c) -0.035 (d) 1\/6 (e) 0 (f) -3\/7 (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 - 34.2. Which is the nearest to 3\/8? (a) r (b) 4 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2 - (-27)\/6. Suppose 4 = 4*r - 0*z + z, 0 = -r - 4*z - 14. Suppose -28 = -r*x + v. Calculate the highest common divisor of 176 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*19\/(-2)*(-2 - -4). Let s(m) = -5*m**2 + 4 + 2*m**2 + l*m**3 - 2*m**2 + 2 - 5*m. Let p be s(4). What is p rounded to the nearest 100?\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 187 = 3*b - 150, -3*k - 5*b - 62 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7626?\nAnswer: 2, 3, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**3 - 2*y**2 + 2*y - 3. Let f be q(-4). Suppose -5*g + f = -145. Calculate the lowest common multiple of 2 and g.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -193, -389, -585, -781?\nAnswer: -977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 20*y**2 - 16*y + 10. Let v be (7 - 5\/(30\/4))*3. Does 4 divide k(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s + 15 = 7*s. Let r be (-2)\/(-2*s\/(-20)). Suppose -13 - 47 = -r*a. Calculate the remainder when a is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/(-213)*6\/(-21). Let h = f + 203\/1065. Factor 1\/5*b**3 + 3\/5*b + h + 3\/5*b**2.\nAnswer: (b + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -16) + (4\/(-3))\/(10\/135)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -81 - -81. Suppose 6*a - 16*a + 1730 = m. What are the prime factors of a?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**3\/5 - 2036*d**2\/5 + 26782*d\/5 - 24744\/5 = 0. What is d?\nAnswer: -1031, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3283 divide 48345262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 17540 divided by -3508\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 494172797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 113279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 77, 204, 439, 818, 1377?\nAnswer: 2152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 7164*t + 259162. Determine a(-36).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -26 - c4c5a?\nAnswer: -c4c82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 862 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -519, -1038, -1565, -2106, -2667, -3254?\n\"Answer: -p**3 + 2*p**2 - 518*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 189082 + 42?\nAnswer: 1890c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/((sqrt(132)\/sqrt(4))\/sqrt(3)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(5 - (5 - 3)). Let s be ((-12)\/20)\/(p*1\/1). Determine k, given that -3\/5*k**2 + s*k + 6\/5 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15\/4? (a) 12 (b) -7 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - q + 1. Let n(t) = -3*t**2 - 9*t + 5. Give 4*c(i) - n(i).\nAnswer: -i**2 + 5*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(392))\/(sqrt(4) - (sqrt(400) + (sqrt(400) - sqrt(400)*-2 - sqrt(400) - sqrt(400)))).\nAnswer: -14*sqrt(2)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 3*r - 17. Give w(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60 by -15.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 90?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**2\/3 - 5729*k\/3 + 3043124 = 0. Calculate k.\nAnswer: -7028, 1299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2580 divided by 4.\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.0015 - 6. What is f rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 e when two letters picked without replacement from wwennnnclwnnnnnwnn?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 - 50*i\/7 + 1.\nAnswer: (i - 7)*(7*i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 101070196 to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 - ((-4 - 53) + 2 + 7 + 70 + -57)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2683 + 1323 - 51*o + 1360.\nAnswer: -51*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*b = -5*p + 30, -24 = -5*p + 2*b. Suppose 0 = 11*y - p*y - 105. What is the highest common factor of y and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41 and 10291?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 1\/5, 0.02, -16, 0.5 in ascending order.\nAnswer: -16, 0.02, 1\/5, 0.5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/117 + ((-3)\/((-81)\/(-42)) - -3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 24765.87 hours?\nAnswer: 89157132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/5 + 3027592\/20. What is the units digit of o\/203 - (-4)\/14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o + 19*o - 18 = -n, -2*o + 10 = 0. Suppose -2*w - 8 = 0, 2*q - 12 - 16 = 5*w. What is the remainder when q is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125532*d**3 + 27*d**2 + 25*d**2 + 125543*d**3.\nAnswer: 11*d**3 + 52*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, -0.5, -10?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -323031221 (base 4) to base 2\nAnswer: -111011001101101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-128)\/80*(-201)\/67*(-25)\/570?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 - u**3 + 2*u**4)*(-65*u + 37*u + 44*u) + 5*u - 2*u**5 - 5*u.\nAnswer: 30*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g - g + 1 - 2. Suppose 4*c + 2*m - m = 28, -26 = -c - 5*m. Let j(w) = -6 + 2 + 5 + 1 + 4*w. Calculate c*j(o) + 13*v(o).\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-15)\/(-33)*23*8\/5520?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 157. Let m be -3 - (2 + -1) - -219. Let l = m + h. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of f**5\/20 + f**4\/2 - f**3\/3 - f**2 + f - 8. Let i = 4 - 7. List the prime factors of q(i).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/13))**(5\/7))**(-3\/13) assuming a is positive.\nAnswer: a**(-30\/1183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-72))\/((-6255)\/6672)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (68\/6 + 0)*(-210)\/(-595). Let v(z) be the first derivative of 3*z + 0*z**3 + 22\/5*z**5 + 0*z**2 + 0*z**y + 17. Differentiate v(a) with respect to a.\nAnswer: 88*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + y + 304 = 0. Let p(h) = 13*h - 33. Let x be p(4). Calculate the highest common factor of y and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = d + 58, -4630*d + 4628*d + 4*z = 44 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232994788 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -24\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103 - 72*n**2 + 103 + 57*n**2 + 205*n**2.\nAnswer: 190*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -133844741?\nAnswer: -133844736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 192\/673?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11268 and 8451?\nAnswer: 33804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14766686 + 4983314 = -5*t. What is t rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 8563*i - 25687. Let y be b(3). Factor -15\/2*r - 6*r**y - 3\/2*r**3 - 3.\nAnswer: -3*(r + 1)**2*(r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 212083\/33 - 6428. Let v = -49846\/935 + 1803\/34. What is the common denominator of c and v?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 - 2*r + 13. Let c = -22 - -15. What are the prime factors of s(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -71 - 33. Let v = k - -108. Let q = 34 + -22. What is the greatest common divisor of v and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -145544 + -33220?\nAnswer: -223204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4376?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.5 (b) -32 (c) -2 (d) -0.179\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/4)*m**(1\/20))\/((m**(-2\/17)\/m)\/(m\/(m\/(m*(m**(-3)*m)\/m*m)))) assuming m is positive.\nAnswer: m**(71\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 37? (a) 0.1 (b) 0.5 (c) -1\/8 (d) -0.048 (e) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w - 385 = -2*w. Let h = -53 - w. Suppose -h*y + 399 = 153. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 4\/7*d**2 + 420 - 4\/7*d**3 + 92*d = 0.\nAnswer: -7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1093002?\nAnswer: 2, 3, 182167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/12)\/((-100)\/10).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-1)*(-1 + 0). Let o(x) = -28*x - 55. Let f be o(-2). Is 17 a factor of 9\/(f\/b - 7\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*k = -92*k + 12. Solve 3*p - p = k*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11202004 (base 5) to base 15\nAnswer: 1ea89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12633504 by 3056.\nAnswer: 4134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - k + k)*(2 - 13 + 26 - k)*(-101 - 7*k**3 + 101).\nAnswer: -7*k**5 + 105*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 628*q**2 + 55*q + 104. Does 119 divide m(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -241900*o - 292095?\nAnswer: -241900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n + 797 = 5*a - 14*n, -803 = -5*a + n. Let f(y) = -y + 11. Let i be f(5). Is (i\/5)\/((-797)\/a + 5) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4 + (-1 + sqrt(272) + 2 + -5 - (-5 + sqrt(272) + 1*sqrt(272) + 3))) + 0)**2.\nAnswer: 1728*sqrt(17) + 11088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 75*w**3 + 6*w**2 + 25*w + 27. Calculate c(-2).\nAnswer: -599","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -75 - 5*y + 75 - 3*y. Let h be j(0). Suppose -c - 4*m = -58 - 10, 4*c - 4*m - 292 = h. Calculate the least common multiple of c and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40618789 is divided by 5802683.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 335 divide 49210830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - -21. Suppose -s = 3*c - 107. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*a - b - 12 = 156*a, -4*b = 2*a + 12 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 4*c**5 - 5620*c**4 - 537492*c**3 - 1058108*c**2 - 526240*c = 0.\nAnswer: -88, -1, 0, 1495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, h: 2, w: 1, q: 1}. Give prob of sequence hp.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i - 399*i + 16107 = 3369 for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 55*p**2 + 1. Let v be t(-1). Suppose -37 = -5*k - 4*d + 32, 4*k = -3*d + v. Does 14 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5282*i + 5277*i = q + 44, -20 = 5*q for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**8*t**(-2\/13))**(-46) assuming t is positive.\nAnswer: t**(-4692\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 2*k**2 - 9*k - 3. Let w be 5 - (2 - (1 - -1)). Suppose w*z - 10 - 10 = 0. Does 19 divide m(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161, 196, 197, 116, -95, -484, -1099, -1988?\nAnswer: -3199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) -1 (c) -3 (d) -2815\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31784639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 8*t + 136. Give k(-17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 11:45 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 94389360 divided by 3932890\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -4*c + 2228 + 110, -c + 4*t + 575 = 0. Suppose -4*u + 2*o = -o - c, -2*u = -5*o - 309. Is u a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 11*x - 7*x, -4*z + 30 = -2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.64 minus -0.2?\nAnswer: 24.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -7.24 (b) 3 (c) 3\/5 (d) -2\/5 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 454 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 0 + sqrt(162))*-4.\nAnswer: -36*sqrt(2) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -154, -110, 3 in ascending order.\nAnswer: -154, -110, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17 and 19?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*k - 90*k = 216. Suppose 0*b = 2*b - 56. Let w be 42\/8 - (-21)\/b. What is the greatest common divisor of k and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -5, 25, 1, 36, 0 in increasing order.\nAnswer: -12, -5, 0, 1, 25, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r**3 - r**2 - r. Let n be g(-1). Suppose -5*i + 4 = -16. Suppose -i*b + 0*b + 8 = 0. Solve -n = -b*j - 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 10:53 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.67 + -9.67. Put -1, 0.17, d in decreasing order.\nAnswer: 0.17, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3226677*m + 25 - 3226677*m + 45*m**2 - 25.\nAnswer: 45*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4227 divided by -1409.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**4 + 2*d**5 + 3*d**4 + 75*d**5 + 6*d**5 + 218*d**5 + (-4*d**3 + 0*d**3 + 3*d**3)*(1 + d**2 - 1) + 2 - 2 - d**5.\nAnswer: 299*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 + 0.2. Let g be -3 + 4 - (-42)\/(-4). Let y = -97\/10 - g. Which is the third biggest value? (a) 1\/6 (b) l (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x - 2. Let c be p(2). Let i(q) = -q + q**c + 2 + q. Is i(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 2*m = -h - 2, -2*m = 2*h + 4. Let q = 3 + h. Let c(v) be the second derivative of v**4\/6 - v**2\/2 + 3*v. Give c(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7557\/22*(0 + (-2)\/14). Let n = t - -99\/2. Suppose -3*q = -4 - 2. Which is the third biggest value? (a) q (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136 and 6460.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 309798 (base 12) to base 9\nAnswer: 1382778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93806*d**2 + 46930*d**2 + 46943*d**2.\nAnswer: 67*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -321407, -642812, -964217?\n\"Answer: -321405*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o - 2*o + o)*(o - o - o)*(-1 - 3 + 1)*(2*o + 0*o - o) to the form r*o**3 + f + k*o + p*o**2 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9964369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 219545295.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*b = 19, 10*b - 15 = 5*b. Let k(f) = -20*f**2 - 23*f - 14. Let n(a) = -8*a - 7*a**2 - 2 - 8 + 5. What is y*n(g) + 6*k(g)?\nAnswer: -g**2 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -398.5371?\nAnswer: -199.26855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 5*q**5 - 17465*q**4 - 491850*q**3 - 3836590*q**2 - 4579835*q + 8925735 = 0?\nAnswer: -13, -3, 1, 3521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.6, 1\/3, 5, -45, 24, 8 in descending order.\nAnswer: 24, 8, 5, 1\/3, -0.1, -0.6, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 42512 (base 6) to base 15\nAnswer: 1abe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 5*p**3\/18 - 8*p**2\/3 + 35*p\/6 - 880. Factor m(d).\nAnswer: (d - 5)*(5*d - 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 28\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4 = -0*t. Differentiate b - 2*b - 2*b**4 + b + t with respect to b.\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7*12*2\/28. Let l(z) = -z**3 - 6*z**2 + 7. Let x be l(k). What is the highest common factor of x and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + s)*(0*s + 0*s + s**2) + 8*s - 253*s**2 + 3*s**3 - 232*s**2 + 487*s**2 + 12 to p*s**3 + n + t*s**2 + j*s and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i**3 + 2*i**3 - 4*i + 2*i - 2*i - 5 in the form x + n*i + v*i**3 + b*i**2 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 18*y = -4*o + 3290, 5*o + 4*y - 4126 = 0. Calculate the highest common divisor of o and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7148 (base 9) in base 15?\nAnswer: -1838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/17)\/(u\/(u\/(u*u**25))) assuming u is positive.\nAnswer: u**(-441\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2192*h**2 + 2206*h**2 - 4397*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 1)*(-5*h + 2 - 2)*(-2 + 2 - 3)*(0*h + h - 3*h).\nAnswer: 30*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c + -1c6be97?\nAnswer: -1c6beb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of 0 + 19\/2*w**2 + 26*w + 3\/8*w**4 - 2\/3*w**3 - 1\/30*w**5. Let l(y) be the first derivative of j(y). What is l(6)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -82.52 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39.3 - 43. Let r = 23529924.2999967 + -23529928. Let n = u - r. What is n rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(60\/(-16)))\/(3*(-6)\/180)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-3006)\/(-198) + -17)\/2\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5}. What is prob of picking 4 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221311320 (base 4) to base 13.\nAnswer: -60015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**5\/(v\/(v\/v**(-1\/5)))*(v\/(v*v**(-32))*v)**45 assuming v is positive.\nAnswer: v**(7451\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38043 - -38040. Suppose 0 = 4*o + 5 - 13. Which is the fourth smallest value? (a) -5 (b) 0.02 (c) k (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 68178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*a**4 - 2*a**3 - 5*a**2 - 2186*a wrt a.\nAnswer: -96*a**2 - 12*a - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39935*t**5 - 1800363*t?\nAnswer: -798700*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + -1 + sqrt(19))**2*-5.\nAnswer: -1525 + 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1167 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**4\/4 + 7155*u**3\/4 + 5363*u**2 - 7152*u = 0?\nAnswer: -7152, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**3*n**2 - 451*h**3*z**3 + 11*h**2*n*z + 3*h*n**3*z**3 - 10*n**3 wrt z?\nAnswer: -2706*h**3*z + 18*h*n**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 2*y**2 - y - 1. Let p = -18 - -22. Suppose p*o + 6 + 2 = 0. Determine j(o).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (18\/27)\/((-20)\/(-14)). Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24745 at least 24745?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -116365 (base 7) to base 16.\nAnswer: -53d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h**2 - 1 + 7*h - 5*h + 1 + 2*h**4 to the form r*h + b*h**3 + t*h**4 + u*h**2 + g and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57 (base 9) to base 16.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1575674 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 - 34 = y. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4aa0 (base 15) in base 12?\nAnswer: 9250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-one halves of a microsecond?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2231 + 2233. Let f(t) be the first derivative of t**4\/4 - t**3\/3 - t**2 + 3*t - 4. Determine f(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*o - 155 = 10*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -2*d + 5*x, 3*x - 23 = -d - x. Suppose d*i - 8 - 7 = 0. Let s = 8 - i. Solve 5 = q + s for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 0*j - 6*j)*(-8 - 7*j + 8)*(4 - 2 - 4).\nAnswer: -126*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/5 - 8*(-189)\/90. Let s(p) = -5*p - 30. Let n(o) = -4*o - 29. Let w(q) = -6*n(q) + 5*s(q). Determine w(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -584 and -0.3?\nAnswer: 175.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 256\/(-44) - 4\/22. Let j(f) = -f**3 - 5*f**2 + 6*f - 5. What is j(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 16*o**2. Let g(c) = -206638*c**2. Determine g(i(q)).\nAnswer: -52899328*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3590 is divided by 895?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 36*l**2 - 203*l + 13. Let y be t(-29). Solve 134*m - y = 147*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*c**2 - 2*c**2 - 22*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1479*k + 1480*k - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + -3 + (-192)\/(-1). What is the common denominator of p\/20 - 1\/(-2) and 934\/(-72) - (-4)\/18?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102043 (base 5) in base 13?\nAnswer: 1715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by -371679.\nAnswer: 16\/371679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/29))**(-46)*z**(-4\/11)\/(z*z**11*z))**(-10\/9) assuming z is positive.\nAnswer: z**(37570\/2871)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 9:39 PM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 2 + 28. Let v be -3 + i*(-1)\/(-2). Suppose v = 7*j - 2*j - 75. Calculate the remainder when j is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 9\/2*s**2 - 3*s**3 - 5*s - 5. Let l(c) = -5*c**2 + 5*c - 3. What is -7*l(i) + 4*r(i)?\nAnswer: -i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a kilogram in grams?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*c - 48*c + 36*c)*(2*c**4 + 12*c**3 + c - 12*c**3).\nAnswer: 38*c**5 + 19*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 25\/(-20) - 250\/(-8). What is the greatest common divisor of t and 270?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 - (1 - -2)) + -2. Suppose k = -2*s - 3*s + 160. Suppose -4*m - s = -8*m. What is the remainder when 23 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71 + -76. Which is the biggest value? (a) n (b) -0.3 (c) 3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.85999557 rounded to two dps?\nAnswer: 1.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -77, -78, -79, -80, -81?\n\"Answer: -w - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 135, 0.12?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 18 + 5 + -30 + 18\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1793, 1796, 1799, 1802, 1805?\n\"Answer: 3*j + 1790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 4.06587.\nAnswer: -3.96587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 17*z + 326. Calculate the remainder when 550 is divided by w(-17).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 564485*z**2 - z - 561609 wrt z?\nAnswer: 1128970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 5*x + 2*g, -5 = 152*x - 151*x + 2*g for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 23.7. Let d = -211\/273 + 13\/21. Sort -2, i, d.\nAnswer: -2, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by 1497.\nAnswer: 10\/499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339447984.\nAnswer: 2, 3, 23, 307471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4188813.999896 + -4188799. Let t = -15 + s. Round t to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 + -7 + 7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2746*x + 55 = 5*l + 2751*x, -x + 1 = 0 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1103588519 to the nearest integer?\nAnswer: 33220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 75 - 73. Let c be 1*(8\/60*-27 - -4). Sort -7, c, g in decreasing order.\nAnswer: g, c, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38601 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -106.94 + 106. Let k = r - -0.9400109. Round k to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1301 + 10104340?\nAnswer: 10111141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 9\/2*x - 1\/2*x**3 + 3*x**2.\nAnswer: -x*(x - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -85798*a*t**5 - a*t**4 - 2*a*t + 4*a - 3*t - 2236 wrt t?\nAnswer: -1715960*a*t**3 - 12*a*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4832?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13559024 and 15253902?\nAnswer: 122031216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - o**2 - 2*o + 4. Let p be g(2). What is the second smallest value in 5, -0.3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-6)*-2 - -6. Let w(y) = -8*y**2 + 4*y - 1. Let s be w(f). Let r = s - -429\/7. Which is bigger: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58 - 50. Suppose 1044 = -b*j + 20*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 7*h**2 - 7*h. What is the tens digit of n(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 4*g - 9. Let o(c) = -2*c**2 - 9*c - 17. Let k(n) = -5*f(n) + 3*o(n). Let d be k(-5). What is the units digit of (2\/d)\/((-4)\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-1*sqrt(612) + -4 + sqrt(612) + ((sqrt(612)*2)**2 - sqrt(612) - sqrt(612)).\nAnswer: -36*sqrt(17) + 2444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 210 and 1025830?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*((-296)\/(-56) - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 6\/79, -11 in ascending order.\nAnswer: -11, 6\/79, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -144 - -149. Solve -z*u + u = 5*o, 3*o = -u + 7 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4703 + -4707. Which is the second smallest value? (a) v (b) 6 (c) 1 (d) -0.1 (e) 99\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75.5 - 75. Sort 5, 1\/6, -0.3, f.\nAnswer: -0.3, 1\/6, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 41?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 64\/3 of a decade?\nAnswer: 2560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -141 - -10177?\nAnswer: 10036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66870511?\nAnswer: 241, 293, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40791, 40797, 40803, 40809, 40815, 40821?\nAnswer: 40827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 190049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 1. Let s(g) = -g**2 - 2*g + 3. Let p(q) = 4*o(q) - s(q). Let i be p(2). Factor 1\/2*h**2 + i - 3\/2*h.\nAnswer: (h - 2)*(h - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2380)\/77)\/20*11.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162058 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**2 + 5. Let h(f) = -2*f**2 + 4. Let r(o) = -5*h(o) + 4*y(o). Let z = 1 - -4. Let w(g) = 5 - z - 2*g**2. Calculate r(w(i)).\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c - 5*i - 35 = 0, -181*c + 184*c = 5*i - 6*i - 7 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**2 - 20460*v - 51155465 = 0 for v.\nAnswer: -1751, 5843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -1, -8, -15, -22?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*n**2 + 87*n**2 - 185792 + 185792.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2634634881 to 2 decimal places.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**3 + z**2 + 3*z + 1. Calculate w(3).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 185413*h**6 + 3*h**2 - 2*h - 996 wrt h?\nAnswer: 22249560*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*s + 226*s = 8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(85) - (-4*sqrt(85)*1 + sqrt(85))) + (sqrt(85) - sqrt(85)*-2*-5 - sqrt(85) - sqrt(85))))\/(3*sqrt(20) + (sqrt(5) - sqrt(5)*2)*-4).\nAnswer: -7*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -21, -40, -65, -96, -133, -176?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 38, 283, 946, 2237, 4366, 7543, 11978?\n\"Answer: 35*p**3 - p**2 + 3*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-42)\/28 + 1 - 11699\/(-2)?\nAnswer: 5849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 78836.53ug?\nAnswer: 78836530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4697114mm to nanometers.\nAnswer: 469711.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -155 - -82. Let h be 1\/(1*1\/k). Calculate the common denominator of 3 and 1 + h\/9 + 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-246)\/(-21) + 4\/14 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y - 2. Let g(o) = -3*o**2 - 22*o - 40. Let c(m) = g(m) - 2*j(m). Suppose c(f) = 0. Calculate f.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 4*y + 45, 0 = -4*y - 3*x + 9313 - 9348 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -2721?\nAnswer: -2720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 184285?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11293 and 2116?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -260*g + 410*g**3 + 566*g - 3215*g**2 - 306*g wrt g.\nAnswer: 2460","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 e when two letters picked without replacement from {r: 3, h: 3, p: 1, y: 2, e: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 0.22, 2\/3, 0.4, -3.9579?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/6)\/(19\/(-285)). Suppose q*y - 9 = 6. Suppose y*x = -5*h + 738, 0 = 2*x + 2*h + 281 - 777. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-27)\/12*(-24)\/9. Let u = 3 + a. Let v = 4366 - 4357. Calculate the lowest common multiple of v and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1 - y)*(-1 - 6 - 2).\nAnswer: 9*y + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -128 (base 13) in base 2?\nAnswer: -11001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b. Let c(w) = 4*w**3 - 5*w**3 - 29*w**2 + 31*w**2. Let k be c(2). Calculate q(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40392 and 3213.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1003 by 59.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.20530006793 - 0.2053. Round x to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of 0*p**5 + 1\/180*p**6 + 3 + 0*p**3 - 1\/36*p**4 - p**2 + 0*p. Let k(z) be the second derivative of i(z). Factor k(n).\nAnswer: 2*n*(n - 1)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -h - 2*v + 19, h - 5*v = -9. Does 9 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2. Let a(t) = -t**3 + 2*t**2 + 5*t - 2. Let w = -5 + 8. Let r be a(w). Let h(s) = 4 + 2*s - r. Determine h(g(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3110?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {m: 11, n: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d**3 + 4*d**3 - 10*d**3)*(15 + 29 + 32 + (0 + 0 + 1)*(4 + 3 + 5)) - 2*d**3 - 3*d**2 + 3*d**2 to f*d + n*d**3 + c*d**2 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39026.\nAnswer: 2, 13, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23646 by 5.\nAnswer: 23646\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4*b + 58. Suppose 15 = 77*t - 72*t. Is i(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 8*q - 10. Let f be r(9). Let p be f\/2 - 2\/(-4). Let t(l) = l + p + 15 - 29. Determine t(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 198*c**2*g**3 - 5*c**2*g**2 + 19*g**3 + 249*g**2 - g wrt c?\nAnswer: 396*c*g**3 - 10*c*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -174*q - 13. Let i(g) = -g**2 - 5*g + 3. Let l be i(2). Is n(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3074363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 906023469?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 7) to base 8.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/7468 and 149\/11202.\nAnswer: 22404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -8*b + 8. Does 13 divide q(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -11*t**2 - 4. Let a(c) be the third derivative of c**5\/12 + c**3\/3 + 3*c**2. Let k(x) = -5*a(x) - 2*g(x). Find the first derivative of k(p) wrt p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -495 by 165.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30.5 - -23. Let u = s - -7. Sort 0.1, -0.3, u in descending order.\nAnswer: 0.1, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 23*f**2 - 1. Let c be y(1). Suppose 0 = 4*q - 348 + 72. Suppose 64*m + 10 = q*m. Calculate the highest common factor of c and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**4 + 5*a**4 - 4*a**4 + 3*a**4 - 4*a**4 + 2*a**4 + (-a + 4*a - 2*a)*(-2*a**3 + 6*a**3 - 3*a**3) + 14*a**2 + 2*a**3 + 1 + 2*a**4 - 9*a**2 - 8*a**2.\nAnswer: 6*a**4 + 2*a**3 - 3*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21769 + 23685. Let c be 333*1*11 + 0. Suppose 0 = -7*b + c + g. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l**2 - 29*l + 6. Let i be z(-7). Let a be (i\/(-5) - -2) + (-16)\/(-10). Suppose -7*q + a = -13. Solve -q*p - 12 + 0 = -2*j, -4*j = -2*p - 18 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 11*w + 11. Let l = 9 + -3. Let o be 0 - -3 - l\/(-1). Suppose c = 2*c + o. Let q(p) = 5*p + 5. Give c*q(z) + 4*k(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 15*y**2 - 37*y - 17. Calculate the remainder when a(10) is divided by 102.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -c - 7, j + 2*j = 4*c + 18 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 = -g + 2*w + 250, 3*w - 987 = -2*g. Let z = g + -343. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 138*y + 30*y**2 - 151*y + 13 - 29*y**2. Determine r(10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -5*b + 39. Let v = -38 - -66. Calculate the remainder when v is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3452011 and -0.104839.\nAnswer: 0.2403621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (183\/122)\/(4191\/(-508)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**3 - 134*j**2 - 262*j - 130 = 0?\nAnswer: -65, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -156859\nAnswer: -5\/156859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5091*h + 135443 = -4106*h + 5169*h - 49177 for h.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3294*p + 1642*p + 1661*p.\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8090 and 120?\nAnswer: 97080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 63674200 rounded to the nearest 100000?\nAnswer: 63700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - -5) + 24 + 1. Let u = h + -7. Calculate the smallest common multiple of 4 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 196 + -135 + -52 + (-26 - (1 + -2))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*h + 29 = -45*h. Find the second derivative of -1045*z + 1184*z + h*z**2 - 77*z**2 wrt z.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a**2 - 432*a + 3724. Give x(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 138 - -9. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 7*c**2 - 5*c - 3. Let z be a(6). Let o be (-2)\/6 - (-19)\/z. Suppose 2*f = 3*f - o. Solve 3*y - y = -f for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4242, -8482, -12722, -16962, -21202, -25442?\nAnswer: -29682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 6*y - 1. Let w = 8 + -10. Let r be (3\/w)\/(21\/(-140)). Suppose 6 = -a - k, a = -2*k - 3*k - r. Determine v(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l - 7*l - 30*l**2 - 18*l**2.\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (187642\/(-65))\/((1\/(-15))\/((-12)\/(-36))).\nAnswer: 2, 7, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 6*s**2 - 4*s + 31. Is f(14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 p, and 2 w when four letters picked without replacement from {c: 1, l: 5, b: 7, p: 2, w: 3}?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m**4 + 623*m**3 + 14054*m**2 + 125972*m + 372792 = 0. Calculate m.\nAnswer: -317\/9, -14, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 608461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -199258427 divided by 47\nAnswer: -4239541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*j + 72 = 3*j, -3*j = -2*o + 148. Suppose -5*f + o + 10 = 0. Let q = 14 - f. What is the third biggest value in q, 0.2, 2\/13?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*z + 42*z = 2994. List the prime factors of z.\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 times -0.61?\nAnswer: -0.549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-6) + (2 - 1). Let y = -13.9 - -16. Let b = 1.6 - y. Put x, 1\/2, b in increasing order.\nAnswer: b, x, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 316 - 69 = 13*b. Let p(s) = 11*s - 27. Let d be p(9). Suppose 6*l - d = 2*l. Is l bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38915412?\nAnswer: 2, 3, 337, 9623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 165*v - 50180. Give c(321).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2331\/55 + 211\/5. What is the second biggest value in -2, -4, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**8\/70560 + g**7\/8820 - g**6\/2520 - 11*g**5\/60 + 15*g**2. Let h(k) be the third derivative of w(k). Factor h(d).\nAnswer: -2*(d - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 7438.\nAnswer: 52066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1158376999?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -5*u - 6, 4*u - 3*q + 3 = -3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 4*s - 3. Let n be r(-2). Let y = -235\/87 - -1\/29. What is the closest to -0.1 in y, n, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*p + 6 = 0, -p - 6 = -2*i + p. Suppose -4*z + 3 = -9. Do z and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 11:46 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -10*o**3 - o - 1. Let y be p(-1). Suppose 2*a = -0*a + 10. Calculate the greatest common factor of y and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6060 divide 461776249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*s = -279*s - s - 5130 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - 1 - 4\/(-8). Let u(v) = v**2 - v. Let w be (-20)\/(-9) + (-2)\/9. Let y be u(w). Which is smaller: y or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a week in minutes?\nAnswer: 36288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -37?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*f = -103*f + 375. What is the least common multiple of f and 78?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -11 - (398 + -388)) + -22\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-5*3*sqrt(363) + -2 + -4)**2 + -3).\nAnswer: -163416 - 3960*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000001011110100010 + 10110?\nAnswer: 1000001011110111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 195691594 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - w**2 + w + 1. Let j(p) = -5*p + 2 + 3*p + 3*p**2 + 3*p**3 - p**2. Let i(s) = j(s) + 2*k(s). What is the derivative of i(r) wrt r?\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -q**4\/24 - 3*q**3\/2 - 23*q**2\/2 + q - 12. Let y(u) be the second derivative of i(u). What is y(8)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -d**2\/2 - 9*d + 20. Calculate y(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - -2969027359?\nAnswer: 2969027372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*24\/10 - (-306 + 302). What is the third biggest value in o, -148\/7, -0.2, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18573 divided by 41.\nAnswer: -453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 356431713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -115, -1, -5, -63.\nAnswer: -115, -63, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + 2 + (3*sqrt(242)*-2 - sqrt(242) - -3*(sqrt(242) + -2*sqrt(242) + sqrt(242)) - -4*(-1 + sqrt(242))*-2) + -5)**2.\nAnswer: -272495 + 11550*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -h**6\/120 - 11*h**5\/60 - h**4\/8 + h**3\/6 - 2*h**2. Is a(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttjntntttinjn. What is prob of picking 1 n, 1 i, and 1 t?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-171)\/228)\/(6\/(-16)). Let l be -2 + (m\/(-20))\/(10\/(-175)). Which is the nearest to 63? (a) -3 (b) 3\/8 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-9) + (-21)\/(-9) + 8. What is the highest common divisor of o and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -6*o**3 + 1904*o**2 - 1071*o + 138537. What is d(317)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*s**2 - 1 + 2 - 7 + 4.\nAnswer: 139*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 984 is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 315400 and 13034?\nAnswer: 108182200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 56.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5208\/33 - (16\/(-11))\/8 is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46151 - 46150.9921724. Round j to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -623 - -623.0692. Let x = 1.0692 - l. Suppose 3 = g, 3*z - 84 = 2*g + 3*g. Which is smaller: z or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 1 (b) 1.4 (c) -0.07 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 88 = -4*i - 0*i, -2*i + 3*d = -46. Let s(j) = -j**3 + 18*j**2 - 11*j + 7. List the prime factors of s(i).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 31*m**4 - 2*m**3 - 29. Let z(o) = -92*o**4 + 5*o**3 + 86. Let g(f) = -11*p(f) - 4*z(f). Differentiate g(h) with respect to h.\nAnswer: 108*h**3 + 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/18 and -35\/562.\nAnswer: 5058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 13. Suppose y + j = 2*y. Which is the smallest value? (a) -0.4 (b) y (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 677 - 677. Suppose 7307 = 5*m - f, t = 4*m + 4*f + 2049 - 7909. Is 103 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/10 - (-24)\/110. Let v = -2803\/5 + 560. Let x(g) = g**3 + 9*g**2 + 6*g - 11. Let w be x(-8). Which is the nearest to 1? (a) v (b) z (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-6\/7)*s\/(s*s**(2\/3))*s\/(s*s*s**4)*s\/s**2 assuming s is positive.\nAnswer: s**(-158\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 + (2 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 540 and 47484330.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -4, 3, -8, -13\/113?\nAnswer: -13\/113","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2058, 4126, 6198, 8274, 10354, 12438?\n\"Answer: 2*c**2 + 2062*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 + 4*z**2 - 2*z**2 - z**2 - z**2 + 4*z**2 + (-z + 5*z - 5*z)*(-1 - 6 + 5)*(-2*z - 2*z - z).\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 286932038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 0*h - 5\/3*h**3 - 1\/2*h**4 - 1 + 0*h**2. What is the third derivative of j(z) wrt z?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 8:50 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -120*p + 284. Let q(f) = 17*f - 39. Let u(i) = 3*n(i) + 22*q(i). Let t(h) = -5*h + 2. Give -8*t(l) - 3*u(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Expand (21782 - 12539 + 12403 + 6440)*(0*m + m - 3*m)*(0 + 0 - 1).\nAnswer: 56172*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4*n - 5. Let i be m(-6). Suppose a + 21 = -i. Calculate the common denominator of 5\/(-20) - (-258)\/a and -89\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187788*i + 2 - 187788*i + 19*i**2.\nAnswer: 19*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*t**3 + 3*t**3 + 0*t - t + 4*t wrt t.\nAnswer: 36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1681.9 to the nearest 100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -172, -344, -516, -688, -860?\n\"Answer: -172*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 7. Calculate the smallest common multiple of d and 3\/15*5 + 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*g - 220 = -3*g, g + 2 = 0. Let i = s + -346\/3. Which is the second smallest value? (a) 0.1 (b) 1 (c) i (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (552\/1932)\/((-2)\/(-14)*18\/(-18))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 141405.21ns?\nAnswer: 0.000000001636634375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39382 is divided by 692.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*w - 42581 = -113*w. What are the prime factors of w?\nAnswer: 7, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of -s**5\/60 + s**4\/2 + 13*s**3 + 12*s**2. What are the prime factors of l(13)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -649*a + 20860104 + 10338200 - 6324081. List the prime factors of a.\nAnswer: 38327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -353*j**2 + 97*j + 94. What is u(-1)?\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvuv when four letters picked without replacement from {a: 1, u: 3, v: 3, e: 1, b: 1, j: 2}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2182 by 1.\nAnswer: 2182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3564, -3570, -3580, -3594, -3612, -3634?\n\"Answer: -2*y**2 - 3562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**7)**(2\/83)*(i**(2\/3)*i)**(-4\/7) assuming i is positive.\nAnswer: i**(-1366\/1743)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -61, -60, -39, 2, 63, 144?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y + 4514 - 4544 - 9*y. Let z(b) = -2*b - 10. Determine 6*c(j) - 17*z(j).\nAnswer: -2*j - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68950 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*w - 77 + 77)*(w + 9*w**4 - 5*w + 9*w) + 0*w**4 + 2*w**5 + 0*w**4.\nAnswer: -187*w**5 - 105*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7755643 to the power of 1\/2, to the nearest integer?\nAnswer: 2785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -388, -4, 43 in decreasing order.\nAnswer: 43, 2, -1, -4, -388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48 - 15 - -14) + 25 - (-1 + 4)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve f**2\/3 - 6423755*f\/3 - 12847514\/3 = 0 for f.\nAnswer: -2, 6423757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 5. Let v = w - -2. Solve v*y = 6*y + 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*l - j - 235, l + 85 = -2*j. Let m be (27 + 0)*-10*7\/l. Solve 54\/5 - 144\/5*o**4 - m*o + 408\/5*o**3 - 228\/5*o**2 = 0 for o.\nAnswer: -1\/2, 1\/3, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -3*r - 9, -3*g - r = -2 - 6. Suppose g*t - 12 = -t. Let i be 10\/(-4)*222\/(-185). Solve 2*b + 2*b = t*a + 11, -2*b + 13 = -i*a for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 398 + -339.8. Let l = -58 + g. Let q(f) = f - 4. Let b be q(5). Sort l, -8, b in descending order.\nAnswer: b, l, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y**(-2\/3)\/y)*y*y)\/y)**38*(y\/(y**(-3)*y))\/y*y\/y**(-3\/5))**32 assuming y is positive.\nAnswer: y**(68608\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 2*l - 8. Suppose 12 - 8 = l*j. Calculate the greatest common divisor of 7 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1652254 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 the greatest common divisor of 192448 and 186?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 12*g - 46. Suppose -2*d = 3*v + 37, 0 + 12 = g*v. Suppose s + 12 = 4*m - 11, m - 69 = 3*s. Do s and d have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70\/(-315) - (-19)\/(-36) - 115\/(-20)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 1 + 351*w - 4*w**2 - 347*w + 9*w**2. Let n(s) = -11*s**2 - 9*s - 2. What is -9*m(j) - 4*n(j)?\nAnswer: -j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 88*w - 13334. Give c(153).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.9 - -1. Let f = 0.3 - j. Let t = -461\/21 - -65\/3. Which is the third smallest value? (a) 5 (b) f (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5164 is divided by 68?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1273 + -578. Suppose -226 = -3*b + g. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*x - 15 = -106*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/33, -34\/9, -1, -10, -1\/4 in ascending order.\nAnswer: -10, -34\/9, -1, -1\/4, 2\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-7727)\/(-3)*-1)\/(((-13)\/(-46800))\/(-1)). Round r to the nearest 100000.\nAnswer: 9300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1128947373 and 153?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*w + 20*w + 150*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 20*6*(1 + (-4)\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*c*w**4 - 2322*c - 131*w**4 - 2*w wrt w?\nAnswer: -348*c*w**2 - 1572*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 (base 14) in base 3?\nAnswer: 200102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10, 139, 214, 235?\n\"Answer: -27*c**2 + 210*c - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30247291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 4*a - 56, a + 0*a = 4*u - 71. List the prime factors of u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*a - 175 + 16 = 0. Sort a, -13, -442 in ascending order.\nAnswer: -442, -13, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 41 = -10. Suppose 2*k = -3*z - 0 - 13, 0 = -5*z - k - 17. Let c = s + z. What is the highest common factor of 70 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*d - 5*w + 29 = 0, 3*d + 4*w = 25. Let t(q) = q**3 - 2*q**2 + q + 4. Let x be t(d). Solve 0 = 3*l - 5*n + x, 0*l - 12 = l - 5*n for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 v when three letters picked without replacement from {h: 1, p: 3, v: 4}?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1884*h**2 - 1885*h**2 - 4 + 4.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (273\/117)\/(14\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -143866, -144535, -145206, -145879, -146554, -147231, -147910?\n\"Answer: -x**2 - 666*x - 143199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in -1\/12, 0.4, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3561 rounded to the nearest one hundred?\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -339 - 57*c**3 + 339.\nAnswer: -57*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 5. Let i be l(-2). Suppose -i*x = -4*x + 1189. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 113 + -106. Let k(a) = -a**3 + 6*a**2 + 7*a - 23. Let m be k(y). Put m, 4, -1 in decreasing order.\nAnswer: 4, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17766*i + 8842*i + 8924*i - 308*i**2.\nAnswer: -308*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -1792 (b) 18 (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7\/3 (b) 0.7 (c) 3 (d) 0 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 5*j + 7, 40 = 6*v - 11*v + 2*j. Is 48 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18173265*c*r**2 - 71*c*r + 96295*c wrt r?\nAnswer: 36346530*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 28696501 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -185.1 + 181.1. Let f be (3\/15)\/(20\/25). Let q = 2 - 4. What is the nearest to 2 in f, v, q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 15187 - 15187 - 5*h. Let j = -15 + 8. Let r(s) = -2*s - 4. Let u(g) = 4*g + 7. Let i(n) = j*r(n) - 4*u(n). Give i(d(o)).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-138 - 0)\/(297486\/247905).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2476*a*z**2 + 2*a*z - 80*a - 431*z**4 + 3494*z + 1 wrt z?\nAnswer: 4952*a - 5172*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40118.295094 + 40118.7. Let l = f + -0.405. Round l to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1074*o - 17619 = -1913*o for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8675670 divided by -4337835.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -7*j**4\/18 - 4*j**3\/9 + 5*j**2\/3 - 4*j\/9 - 47. Determine w so that r(w) = 0.\nAnswer: -2, 1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1628)\/(-36) - (-2)\/(-9) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**4 - 4*b - 6*b + 2*b**3 + 3*b**3 - 6*b**3 to j + m*b**3 + a*b**2 + w*b + o*b**4 and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 831 - 826. Solve m*u + 5 = -5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5 (b) -249 (c) -0.3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 0*g**2 + 0*g**3 + 1\/2*g**4 + 2*g + 0. Let h(y) = 2*y. What is h(s(k))?\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l + 7. Let v(w) = -w + 21. Let g be v(15). Determine k(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7776 + 14279. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16771625 is divided by 1089.\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of 13*h**4\/4 - h**3\/3 + 14*h**2 + 122*h - 1. What is the second derivative of g(m) wrt m?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-480)\/(-72))\/(8\/(-2))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 209, 500, 909, 1436, 2081, 2844?\nAnswer: 3725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 192 and 896.\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 - 6*z - 49. Let a be j(-5). What is the third derivative of 63*f**3 - f**5 - 32*f - 6*f**2 - a*f + 7 + 63*f wrt f?\nAnswer: -60*f**2 + 378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.8 + 9.2. Let r = 11.9 - 0.9. Let l = 10.8 - r. Sort 2, l, d in descending order.\nAnswer: 2, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 8*i**2 + 7*i + 5. Let v be a(7). Let p be 4\/12 - v\/(-3). Let l be (p\/(-2))\/((-3)\/27). Which is smaller: l or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 4*s = 8, 0 = -4*t + 17*s - 20*s + 21 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -405.71 - 113524.\nAnswer: -113929.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -136 divided by 34\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 872 and 72.\nAnswer: 7848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 14. Let o = 4.5 - n. Which is the second smallest value? (a) o (b) -5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 245 and 560?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*w**2)*(-32*w - 16*w - 21*w).\nAnswer: -138*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffrr when four letters picked without replacement from {r: 2, f: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*d - 13. Let z = d - 11. Let y be (-34)\/60 - 4*(-6)\/36. Which is the second biggest value? (a) z (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4380 times 21.98?\nAnswer: -96272.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -19. Suppose -6 = -3*k + u + 2*u, m = -k - 5*u - 22. Which is the nearest to 1\/2? (a) -10 (b) 2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-1\/3)*i)**(-50)*(i\/(i*i\/(i*i**(-6\/11)\/i)*i))**(-2\/55) assuming i is positive.\nAnswer: i**(-241832\/1815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010 - 21222?\nAnswer: -100002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -12*t + 26. Let y be z(9). Let r = 105 + y. What is the remainder when 64 is divided by r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 5*i - 3. Let t(z) = -2*z**2 - 5*z + 4. Let v(f) = f + 2. Let x be v(-3). Let k(w) = w**2. Let g(n) = x*t(n) - k(n). Calculate g(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(40)*1)\/(sqrt(8) - 2*sqrt(16)\/sqrt(2) - sqrt(8)).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y**3 - 4*y - 3. Is m(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1417 - -1455. Calculate the greatest common divisor of n and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26161 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of 21*h + 0*h**6 + 0*h**2 + 1\/21*h**7 + 11\/6*h**3 + 0 + 0*h**4 + 0*h**5. What is the second derivative of d(t) wrt t?\nAnswer: 40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + r = 3*r + 86 + 130, 248 = -10*n + 5*r - 332 for n.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -164 and -3405.7?\nAnswer: 3241.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-12)*(-12)\/16*0. Let l = 10 - b. Does 2 divide -3 + 2 + l + (-10)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 5. Suppose c*h = 3*f + 12, -f - h + 0 = 4. Let i be (-2)\/(-4)*2*-1. Put i, 3, f in decreasing order.\nAnswer: 3, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.84009g to tonnes.\nAnswer: 0.00004284009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*3 - 5797\/(-2046)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 653 + -649. Suppose 0 = -p - 2*q + 24, -p + 3*q + 6 = -3. Let z be (2\/8)\/(3\/p). Which is the nearest to 1? (a) z (b) 0.3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 64376, 128084, 191782, 255470, 319148, 382816, 446474?\n\"Answer: -5*b**2 + 63723*b + 658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 8*w**2 - 5*w + 14. Is 35 a factor of b(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*g + 32 = 25*g. Solve g*a + 16 = -0*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q + 74 = 18. Suppose 1 = -3*n + 2*s, -5 = q*n + 2*s + 15. Which is smaller: n or -7\/2?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (48\/(-40))\/((-3)\/10). Suppose 10*g + s = 6*g. Let v = -2128\/5 - -424. Which is bigger: g or v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 3*m + 4 + 17, 5*o - 5*m = -20. Let y(j) = -j**2 + 13*j + 18. Let r be y(o). What is the common denominator of 5\/22 and -2 - -51*35\/r?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 divided by -235.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1. Let w = -4.1 - -22.1. Let d = -13 + w. What is the smallest value in -4, d, r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vghoheze. What is prob of picking 1 v and 1 h?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -48.343*79\nAnswer: -3819.097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 1:47 AM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fnfnfrfxnnhfzfhhhrf. What is prob of sequence xf?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95030?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rqgg when four letters picked without replacement from {r: 5, l: 7, q: 1, g: 5}.\nAnswer: 5\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/12180 and -83\/110229?\nAnswer: 2204580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-6))\/((-2)\/(-24)). Let v be (-9)\/g - (2 + 0). Let h = -12.3 + 12. Which is the third smallest value? (a) 0.1 (b) h (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-68)\/17)\/(12\/(-2))*(-84)\/1036?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**7)**(8\/7) assuming v is positive.\nAnswer: v**(64\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 6:27 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 15805*x - 15819*x - 3 + 1 as q*x + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 1042*l - 3*l**2 - 2078*l + 1041*l + 13*l**3 - 5. Let v(u) = 6*u**3 - 2*u**2 + 3*u - 3. Determine -3*d(n) + 5*v(n).\nAnswer: -9*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4\/5 + 12220*h**3 + 466406786*h**2\/5 - 746837520*h + 7470330912\/5.\nAnswer: 2*(h - 4)**2*(h + 15279)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74191, 73885, 72967, 71131, 68071, 63481, 57055, 48487?\nAnswer: 37471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6253?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27330, -54664, -82002, -109344?\nAnswer: -136690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 559*x - 3911. Let g be v(7). Which is the second smallest value? (a) -2\/3 (b) g (c) 0.464 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide (368\/(-24))\/(2\/(-24))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mkk when three letters picked without replacement from {m: 14, u: 1, k: 5}.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63.5 + -63. What is the third smallest value in -4\/5, u, 4, 0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*q = 201*q. Solve q = 90*k - 242 - 298 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 16) in base 3?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 2*q - 4. Suppose 35 - 125 = -15*j. Calculate the least common multiple of i(-6) and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28488224 to the power of 1\/4, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 892 + -885. Let g(f) = f**3 + 3*f**2 + 5*f + 6. Let z be g(-4). Let b = z - -48. What is the remainder when b is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111025 (base 7) to base 10\nAnswer: -19570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363)*1)\/sqrt(11) - (-4*sqrt(99)\/sqrt(3) + sqrt(33)))\/(sqrt(1100)*2 + sqrt(1100) - sqrt(550)\/sqrt(2)).\nAnswer: 4*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2)\/((x**10\/x)\/x))**(-2\/11)*(x*x**0)**50*(x**(-1\/4))**(17\/4) assuming x is positive.\nAnswer: x**(8933\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 3. Let u(c) = c + 1. Let x(g) = 8*g - 2. Let y(z) = -5*u(z) + x(z). Give -9*k(w) - 4*y(w).\nAnswer: -3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/4269437 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 159 + -155. Solve 2*g = 3*f - 13 - 4, f + o*g - 1 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 132 and 403967476.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 260355772 to the power of 1\/2, to the nearest integer?\nAnswer: 16136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 5*t. Let b(o) = -o**3 + 16*o**2 + 30. Let y be b(16). Suppose -13*k - y = 35. Determine q(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26154 (base 8) in base 14?\nAnswer: -4204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 + -4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 + 4365*n**2 + 165552*n - 169920.\nAnswer: 3*(n - 1)*(n + 40)*(n + 1416)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**4 + 8*y**3 + 5*y + 7*y**2 - y**2 + y**2 - 3*y = 0. Calculate y.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**4\/3 - 45719636*f**3\/3 + 58063424643996*f**2 - 73739639636539504596*f - 737402202723099337560.\nAnswer: 4*(f - 3809973)**3*(f + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 5. Suppose -12 = -4*b - u + 71, 0 = -5*u - s. What is the greatest common factor of 147 and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -879*f**2*s**2 + 2*f*s**2 - 119*s**2 + 2 with respect to f.\nAnswer: -1758*f*s**2 + 2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4*y - 8, -2 = 35*y - 38*y + 5*o. Solve -2*a = 3*c + a + 9, y*c - 4*a + 28 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 0. Let l(t) = -t**3 - 24*t**2 - 139*t + 61. Let h be l(-12). Let f = 0.29 + -0.69. Which is the closest to o? (a) h (b) f (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -a - 0*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1 - 685\/35)*-7 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7053 + -7050. What is the third biggest value in 0, -19.1, v?\nAnswer: -19.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tx when two letters picked without replacement from {t: 3, x: 5}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 121 = 1. What is the tens digit of v\/(-18) + 5457\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -x**5\/120 - 2*x**3\/3 - 27*x. Let z(b) be the second derivative of h(b). Give z(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 9*x**2 - x - 5. Determine k(-8).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7852261?\nAnswer: 7852261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve -40*c - 3*h = 6*c + h + 3236, 4*h + 296 = -4*c for c.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*r**3 + 14*r**3 + 0*r**2 - 141 - r**2 - 3*r**2 + 128 as h + o*r + u*r**2 + w*r**3 and give h.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -126*b**3*n + 191*b**3 + 933*b**2 - 64*n wrt b?\nAnswer: -756*n + 1146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -119*f - 14. Let c(x) = 24*x + 3. Let k(h) = -3*a(h) - 14*c(h). Let d(p) = 2*p**2. Give k(d(r)).\nAnswer: 42*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 25, 10.\nAnswer: 0, 5, 10, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -34133*n - 1349. Is z(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times 185301546?\nAnswer: -1111809276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - 1*sqrt(9)\/sqrt(3))**2 + (5 + sqrt(12)\/sqrt(4))**2 - (-1 + sqrt(12)\/sqrt(4))**2*1.\nAnswer: 12*sqrt(3) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35622528.\nAnswer: 2, 3, 92767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -124, -324, -548, -796, -1068, -1364?\nAnswer: -1684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k*k**(4\/11)*k)\/k)\/k*k**(1\/6))\/(k**(3\/8)*k\/k**1*k))\/((k*k**(2\/9))**32)**(7\/13) assuming k is positive.\nAnswer: k**(-215233\/10296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63)*5 - -1*sqrt(63))*2)**2.\nAnswer: 9072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 172 - 171.9. Suppose -3*j - y = 28, 0*j - 4*j - 69 = -5*y. What is the biggest value in p, j, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -63*q + 1667. Determine m(27).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 235540504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3173*h**2 + 6. Let k(p) = 6310*p**2 + 11. Calculate -6*k(i) + 11*v(i).\nAnswer: -2957*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.8 - 3.6. Let l = k + -0.3. What is l rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9.4 or 9\/10?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fpkfkppfpp. Give prob of picking 2 f.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 29337063253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**2 - 2*h**2 - 3*h**5 + (0 + 0 + 1)*(1142*h**2 + h**5 + 2 - 24614*h**3 + h**4 + 24614*h**3).\nAnswer: -2*h**5 + h**4 + 1142*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**3 + 0*r**3 - r**3)*(-3 + 4 - 8)*(18 + 3*r - 18).\nAnswer: -21*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 8 = 2*d, -6*t + t = 4*d + 23. Let j(i) = -2*i**2 + i. Let m be j(1). What is the units digit of m*((t - -4) + -8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*m + 23*m - 140 = 0. Let t be 12\/(-18)*(m + 1). Let a be 46\/(-6) + 0 + (-6)\/t. Let p(k) = -k**2 - 6*k + 10. Give p(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 216 = -5*d, -4*s + 133 = d - 99. What is the remainder when s is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -12*v - 16. Which is the second smallest value? (a) -2\/5 (b) 0.5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 872 = -2*a. Let x = 323 - a. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85851122 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 8. Suppose 879 = m*y + y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -230 + 231. What is the lowest common multiple of (y + 3)\/(21\/((-630)\/(-40))) and (-66)\/(-10) - 2\/(-5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 times 104855.34\nAnswer: -157283.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2 + 2*a - 3. Let l be t(-3). Let u = l - 11. Let v = u - -10. Calculate the remainder when 27 is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of 3*x**7\/7 - 7*x**5\/60 - x**4\/3 - 128*x**2. What is the third derivative of b(v) wrt v?\nAnswer: 2160*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 227 and -4.89109914688.\nAnswer: 222.10890085312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 176*a**2 + 64. Let p(f) = -16*f**2 - 6. Let s(w) = 3*j(w) + 32*p(w). Let h(b) = 4*b. Give h(s(z)).\nAnswer: 64*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 94225 + 300.\nAnswer: 94525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/7)\/q*q**2*q**(1\/5)*q\/q**(1\/4))\/((q**6\/(q*q*q**(-2\/11)*q))\/(q*q*q**(1\/4)*q)**(-31)) assuming q is positive.\nAnswer: q**(-39098\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -8 - (12 + -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 - 2384*j**2 - 14196*j - 21240.\nAnswer: -4*(j + 3)**2*(j + 590)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6674522*r + 8929435 wrt r?\nAnswer: 6674522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = -2579 + 7755. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8676 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 12 = -2*w. Suppose -4*u + 3*y + 30 = 0, 2*u - w*y = 6*u - 16. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14422097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 + 43181 - 43181.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*n + 27*n - 57*n + 201 + 18*n to the form t*n + h and give h.\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-933550)\/(-225)*3 - (-2 - 8\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1179 - 43*v + 1152 + 1180 - 3511.\nAnswer: -43*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(143) - sqrt(143)*2)*-1)\/((sqrt(220)\/sqrt(4))\/sqrt(5)))**2.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -65 and -565954339.\nAnswer: -565954404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1501, 220, 4883, 13958, 28915, 51224?\n\"Answer: 245*h**3 + h**2 + 3*h - 1750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 995257945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -5*z + 4*q - 185, -5*q = -25. Let r be (909*-44 + -4)*z. Round r to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4*6\/(-468)*(-391)\/138 and -31\/598.\nAnswer: 5382","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*f - 11, f + 2*o + 11 = 4*f. Suppose -93 + 15 = -f*j. Suppose -86 = -4*p - j. Solve 3*w = p, -2*c + 6*c + w = 5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46a61 (base 12) to base 10.\nAnswer: -94825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-252)\/(-882))\/(75\/(-35))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-6)\/(-8))\/((-33)\/(-24376))?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 4 + 12. Suppose -f = 3*f + i. Let z = 469\/5 - 95. Is z <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.963 * -15.\nAnswer: 29.445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4 - 243570*t**3 - 487143*t**2 - 243572*t.\nAnswer: t*(t - 243572)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6184 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -9*t - 9. Let m(u) = 26*u + 37. Let v(l) = -13*l - 19. Let i(k) = 6*m(k) + 11*v(k). Give 5*i(p) + 7*r(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -65*d - 106. Give f(-8).\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -475.388 to the nearest integer.\nAnswer: -475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.03073459 + 184.69068959. Let x = w - 184.88. Let k = x - -0.22. What is k rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 6*s**2 + s. Let k(o) = -4*o**3 + 24*o**2 - 4*o. Let b(l) = 9*d(l) + 2*k(l). Give b(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -15.3 (c) -0.863\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -5*q**2 + 2*q - 8 + 5 + 5*q**3 - 4*q**3. Let a be c(6). Suppose -878 + 824 = -3*k. What is the greatest common factor of k and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from arkrkrr. What is prob of sequence rrrk?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.841 plus -267?\nAnswer: -178.159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5544\/385*(-14)\/(-63).\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 109 - 104. Suppose -12*t + 2822 = n*t. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6254, -6260, -6270, -6284, -6302, -6324, -6350?\n\"Answer: -2*x**2 - 6252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -13*m + 24. Let c be s(5). Let k = c + 260. Does 32 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (9 + -3 - -127) + -2*2 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22502 + -1012531\/45. Calculate the common denominator of a and 42\/11.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*p**3*x + 690*p**3 - p**2 - 9880*p*x + 19 with respect to x.\nAnswer: 25*p**3 - 9880*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1506916*k - 3468 = 1506967*k for k.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 69\/15 - 6\/(-10)*-1. Suppose -62 = -3*c - 4*i - 16, z*c - 4*i = 24. Suppose -4*p = p - c. Calculate the smallest common multiple of p and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 + -19. Suppose 2*g = -2*o + 64, 66*g - 65*g - 48 = 3*o. What is the smallest common multiple of g and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1252968\/(-11220))\/37 - (-12)\/10\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (32\/(-14) - -3)*7. Suppose 0 = -b + 1, w*o - b - 55 = 119. Solve 0*t - o = -7*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 8380 = 5*n. Does 16 divide n + 1 + 5 + -12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -392 take away 6797?\nAnswer: -7189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -19*s**6\/30 + s**5\/20 + s**4\/3 - 17*s**3\/6 + 35*s. What is the third derivative of i(g) wrt g?\nAnswer: -456*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1382077*r**6 + 2*r**2 - 64043*r - 3 wrt r.\nAnswer: -165849240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 30 - 3*a - 32 + 17*a. Is k(4) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*d - 749*d + 48813 = 0 for d.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (4\/6)\/(2\/30) and 2 - (8 - 9)*3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 12:16 AM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270 - 166 = -4*j + 8*x, 2*j - 2*x = 224. What is the remainder when j is divided by 66?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -2\/1007, 12.8, -0.019 in decreasing order.\nAnswer: 12.8, -2\/1007, -0.019, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 10*o**2 - 7*o + 5. Let j be p(-10). Let h = j + -42. Suppose h - 9 = 3*m. Solve m = t + t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 2*d + 3951599. Let m(w) = -w. What is l(m(h))?\nAnswer: -h**2 + 2*h + 3951599","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/12 and -65\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 8 = 5*d, 2*y - 5 - 5 = -d. Suppose l = 4*k + 3, 3*k = -y*l + 43 - 4. Suppose 4*r - 19 = -3. Solve -5*p = -r*c - l, -c - 8 = p - 4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*l + 6*l + 28. What is the remainder when 12 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 5*t + 3. Let a be j(5). Let m = -6313 + 6331. Is a >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3, 230, 501, 828, 1229, 1722, 2325, 3056?\n\"Answer: 3*m**3 + m**2 + 209*m - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**3*j - 7*c**2*j - 30*c**2 - 2*c*j - 6*c + 17*j wrt c?\nAnswer: 6*c*j - 14*j - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 + 18 - 18 + 12284*l - 12284*l.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -h**6\/120 - 11*h**5\/60 + 5*h**4\/12 + 5*h**3\/2 - 2*h**2. Let i be z(-12). Suppose i = 4*x - 37. List the prime factors of x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**3 - t**2 - 6*t - 7. Let f(o) = o**3 + o**2 + 3*o + 3. Let g(h) = 5*f(h) + 2*i(h). Let n be g(-2). What is the units digit of n\/(1\/(-4 - 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2)*(-15)\/30*64\/6\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(-3)\/(-6)*(13 - (13 - -90)). Do x and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 3*n + 2. Let z(v) = 20*v**2 + 8. Let f(m) = 7*m**2 + 3. Let y(s) = -11*f(s) + 4*z(s). Let i be y(1). Give x(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-4)*(-5)\/(-30). Let s = -3276 + 3275.8. Which is the nearest to d? (a) s (b) 3 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 171\/(-63))*-1\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.021927 + 40.44.\nAnswer: 40.418073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((24\/(-9))\/(-4))\/((-88)\/33).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8932*t + 34281 wrt t.\nAnswer: 8932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -184, -186, -188?\n\"Answer: -2*z - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-264)\/(-26) + 150\/39 + -4. Solve -y = 2*a - 5*c, 3*c + 2*c - 35 = -3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*z**4 + z**3 - 7*z + 5?\nAnswer: 24*z**2 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0020993168 rounded to five dps?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 49 + 11. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 166.00000258 - 166. What is r rounded to seven decimal places?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and 99883.1?\nAnswer: 5992.986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -18280 (base 10) to base 15\nAnswer: -563a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1859 and 55.\nAnswer: 9295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -24. Let s be k\/(36\/(-8)) - 6. Let i(n) = -n**3 - 6*n**2 - 10*n - 4. What is the lowest common multiple of i(s) and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13302221212 (base 4) to base 11.\nAnswer: 11755a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 3\/8 (c) -2\/5 (d) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = 4*u. Solve u*m = 5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12489 divided by -188.\nAnswer: 12489\/188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 371 divide 502037580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -2020?\nAnswer: 2030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -322*c - 1301. Determine a(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.8449 rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.3 - 1. Suppose -40 = -4*n - 16*n. Let g = 100 - 107. Sort q, g, n, 0.4 in increasing order.\nAnswer: g, q, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 + 2*b + 1. Let s be o(-3). Suppose s*k = 10*k. Suppose k = -5*g + g + 176. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 12759.12ug?\nAnswer: 12759120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 57739975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 220888 or 221578?\nAnswer: 221578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 4*a + 4. Suppose 5*u = -5*f - 5, -27 + 4 = -4*u + 5*f. What is the lowest common multiple of u and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169\/888 at least as big as -3\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 36*l - 17*l - 14*l - 1. Let a be 3*(4 - 4 - -5). What is the tens digit of z(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-9)*(-4)\/((-8)\/42). Solve 0 = 2*z + f + 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-11)*i)**(4\/15) assuming i is positive.\nAnswer: i**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328*w + 769*w = -312*w - 48945 for w.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.9834947mg?\nAnswer: 983494.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -317.6 - 31.4. Let m = t + 348.9714. Round m to 3 decimal places.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 = -4*z - 15. Let v = z - -32. Suppose -b - n - 2*n + 39 = v, 0 = -2*b - 3*n + 81. Does 12 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -20, -128240, -3.\nAnswer: -128240, -20, -3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1164 and 18?\nAnswer: 3492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 471.5 + 17. Let z = b - 473. Round z to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 238 - 3092\/13. Let t = k + -35\/143. Which is the smallest value? (a) 5 (b) -3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-13)\/(-3) + 2\/3 and 56\/12*(-24)\/(-28).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10949?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 241 (base 13) to base 3.\nAnswer: 112111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(20\/9)*f\/(((f\/(f\/(f**(-16\/5)*f))*f*f)\/f)\/f)*f**(-3\/19)\/(f*f**(3\/7)))**(-3\/16) assuming f is positive.\nAnswer: f**(-22957\/31920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -0.319, -0.05, 362, 5?\nAnswer: 362","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 156952904?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p + 35 + 6 = -49 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -668*k - 1236*k + 4 + 0 + 268*k.\nAnswer: -1636*k + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of z**4\/6 + z**3 - 4*z**2 - 99*z. Let d(f) = -f**2 - 8*f + 7. Let i(a) = 3*d(a) + 2*v(a). Determine i(9).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 42*i**2 - 413*i - 232. Calculate p(-27).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/45 (b) -12 (c) 0.001717 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004342859233 to 7 decimal places.\nAnswer: -0.0004343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2941 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 72\/(-14)*49\/(-14). Suppose -3*w = 4*k - 20, -3*w + p = -0*w + 3*k. Solve -l + 3*s = w*s - 2, 0 = -l + 2*s + 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1306*f**3 + 99*f**2 - 11 wrt f.\nAnswer: 7836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*t - 4. Let p = 1 + t. Factor 3*k - k**p - 2*k - 2*k.\nAnswer: -k*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((480\/(-28))\/(-4))\/(6\/42). Solve -c - 5 = -7*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1189, 0, -1 in ascending order.\nAnswer: -1189, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -7\/6*f**3 - 13\/20*f**5 + 5\/4*f**4 + 1\/2*f**2 + 2\/15*f**6 + 0 - 4*f. Factor b(h).\nAnswer: (h - 1)**3*(4*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -7*s. What is the lowest common multiple of -6 + 20 - (3 - s) and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9768 by -2.\nAnswer: -4884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (104\/(-13) - -12) + 7\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00031247 rounded to six dps?\nAnswer: -0.000312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 64763 and -169.\nAnswer: -10944947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 62369871 to the power of 1\/2, to the nearest integer?\nAnswer: 7897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -69809.9 and 20935.23?\nAnswer: 90745.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -117 + 845. Suppose 3*w - w - 187 = -5*v, 4*v = -2*w + t. Calculate the highest common factor of w and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffefeefefefvefvh. What is prob of sequence ev?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 106\/911?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (27\/(-120))\/(4\/50) and (-145)\/261*(-426)\/20?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*q = -2944 - 4415 for q.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/136 and -79\/6120.\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/15792 and 23\/18986?\nAnswer: 149913456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1724)\/(-3879)*(1\/(-3))\/((-3)\/(-54)).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of g**4\/12 - 37*g**2. Let r(c) = 57*c**2. Give o(r(l)).\nAnswer: 114*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2689 is divided by 894?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -1088 - 1737. Suppose -j = -4*m - 33. Calculate the highest common divisor of 14 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -32*y**2 + 12*y - 1. Let r(w) = 47*w**2 - 18*w + 1. Calculate 7*b(n) + 5*r(n).\nAnswer: 11*n**2 - 6*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/20*30\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - 14*r = -3*v - 65, 0 = -r - 5*v. Solve r*w + 8 = 23*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 61*g**2 + 127*g - 94. What is m(63)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*d = -3. Put d, -3, 1 in ascending order.\nAnswer: -3, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.29 in -350, 3\/2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(2)*-4)\/(sqrt(1200) - (sqrt(1200) - sqrt(1200)*3)) - (0 + (sqrt(3) - sqrt(9)\/(sqrt(9)\/sqrt(3)) - ((sqrt(192)*-4)**2 + sqrt(192)))).\nAnswer: 118*sqrt(3)\/15 + 3072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 313 divide 97442847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 43*m**2 + 118*m + 91. Let t be i(40). Solve -t*p + 6*p + 15 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155 + 4*t + 156 + 29*t**2 - 4*t.\nAnswer: 29*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 151379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**4\/11 + 96*i**3\/11 - 4580*i**2\/11 + 24672*i\/11 - 35550\/11 = 0.\nAnswer: -79, 3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 17, j: 2}. Give prob of sequence rr.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*g + 12. Let v be (6\/45)\/((-4)\/g). Which is smaller: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17239803 is divided by 5746599?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q. Let b(g) = -30*g - 2. Let k(r) = -32*r - 1. Let v(o) = -2*b(o) + 3*k(o). Determine v(n(l)).\nAnswer: 108*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 53, -6\/7, -4, -78?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*g**3*r*w**2 + 44*g**3*w**3 - 13*g**2*r**3*w**2 - 5*g*r**3*w**3 + 2*g*r**3*w**2 + 3*r**2*w wrt w.\nAnswer: 264*g**3 - 30*g*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2452112 (base 9) to base 11.\nAnswer: 830912","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22637 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10065\/(-363) + 48\/(-176)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, x: 1, y: 10, h: 4}. What is prob of sequence txy?\nAnswer: 5\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12395 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5ece (base 16) to base 12.\nAnswer: -12066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23248 and 239198672.\nAnswer: 239198672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 4*a**2 + a - 8. Let r be p(6). Suppose -8*h + 35 = -3*h - 3*o, -4*o = -20. Calculate the highest common divisor of h and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, y: 3, f: 6, h: 4, l: 3}. Give prob of sequence lyf.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1854, -941, 85 in ascending order.\nAnswer: -941, 85, 1854","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/4 - 6\/(-8). Let b(u) = 40*u - 31*u - u**2 + 3 - l. Let a be b(7). Solve 4*f + 2*z + a = -2*z, 5*f + 2*z + 23 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69491687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1930 is divided by 1001.\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 124506.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-4)\/(-6)*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {i: 1, l: 3, t: 2, y: 3, x: 1, v: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -12. Let x be (5 - 1) + 0 + -1. Suppose -x*g - 12 = -7*g. Calculate the remainder when r is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54330068?\nAnswer: 2, 13, 1044809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*o - 16, k - 2*o = 2*o - 16. Suppose k = u - 0 + 9. What is the second biggest value in u, 2, 0.5, -3\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1423376 to the power of 1\/2, to the nearest integer?\nAnswer: 1193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -1684*z**2. Let s(v) = -3*v**2 + 4*v - 8. Let u(y) = -60*y**2 + 81*y - 162. Let p(w) = 81*s(w) - 4*u(w). Calculate p(g(j)).\nAnswer: -8507568*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 5489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 10 = j + 2*f, -45 = 5*j + 4*f. Let o = -9 - -8.9. What is the closest to o in -4, j, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 9*x**2 + 9*x + 12. Let b be r(10). Suppose -2*z + 5*n - 4 = 0, z = -b*z - 5*n + 44. Suppose 28 + z = j. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -297 + 299. Let n be 0\/((-4)\/z)*15\/(-30). Solve 5 + n = -5*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.5 + -0.5. Suppose 302*k + 0*k + 13288 = 0. What is the third smallest value in -3\/8, s, -2, k?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1635.\nAnswer: 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 - 47 - (1 + 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 52 - 2. Let f = -8 - w. Suppose -f*x - 3 = -73. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, i: 2, k: 3, o: 1, s: 4}. Give prob of picking 1 i and 1 s.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56683852.\nAnswer: 2, 37, 382999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 115 - 300 + 150 - 15*t**2 + 11*t. Is l(16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 11 + -10 - 7 - (-3 + 18).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o + 24. Suppose -2*n = 4*n - 66. Let m be y(n). What is the third derivative of 16*s**5 + 9*s**5 - 10*s**5 - 26*s**m wrt s?\nAnswer: 900*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(-5)\/((-15)\/9). Suppose c = 3*p - 23, 0 = -3*p + m*c + 3 + 18. Is 8 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (969\/12 + -7)*(-2)\/(-436). Let l = z - -4\/109. Suppose f + 0*f = 5. Which is the nearest to 3? (a) -1\/4 (b) f (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5156556 months to years.\nAnswer: 0.0429713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6235, -12482, -18765, -25102, -31511, -38010?\n\"Answer: -3*w**3 - 6226*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -4, -5, 33, 2, 4761?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -5717 in ascending order.\nAnswer: -5717, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 9*u**2 + 10*u. Let i be h(8). Let t(v) = i*v - 4*v - 11*v - 2. Give t(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -0.62?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 124 + -117. Solve -2*z - z = -q + 1, -5*z - w = -3*q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2841 - -24175. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 123, 3454, 5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-5 + sqrt(32)))**2 - sqrt(22)\/((sqrt(132)*2)\/sqrt(12)).\nAnswer: -321*sqrt(2)\/2 + 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 2. Let l = 0.34 - 0.14. What is the second biggest value in -3, u, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + u + 20. Suppose 0 = 2*v - 0*v - 12. Suppose v = -d + 2. Put u, 1, d in decreasing order.\nAnswer: 1, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 1)*(-4)\/32*-4. Suppose j + 0*j - 3*r = 9, m = -2*j - 3*r. Suppose -4*p = 0, -3*b = 2*b + j*p - 30. Let k(z) = -z**2 + 5*z + 6. Determine k(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/10)\/(144\/(-40) + 3). Let x = -6035.9 + 6036. Let n = -3 + 2. Which is the nearest to n? (a) l (b) 2\/9 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 478764 (base 11) to base 6\nAnswer: 24130240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 0 - 2)*(-12 + 2*o + 12)*(-200 - 196 + 2*o + 498) as u*o**2 + i + b*o and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2456\/33 or -74?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*o**3 + 2003*o**2 + 94654*o.\nAnswer: -66*o + 4006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-9)\/(-270))\/((-1)\/(-4)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 62\/22 - 4\/(-22). Let l(k) = k**3 - 2*k**2 - 2*k - 1. Let p be l(c). Is 3 + 28 + -2 + p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-2)*(7 + 1). Let v = -10 + w. Let a be 4*1\/v*-3. Solve -2*j = -j - a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 - (-37 + 79 - 14).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 112 and 720.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(3\/5)*w)\/w)\/(w**6\/w)*w*w\/(w**(-7)*w*w)*w\/((w**(-3\/2)\/w)\/w) assuming w is positive.\nAnswer: w**(71\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 2:48 PM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/33097 or -1?\nAnswer: -1\/33097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1219611.\nAnswer: 3, 73, 5569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003297395043 rounded to 6 decimal places?\nAnswer: 0.003297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8363296.\nAnswer: 2, 261353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*n = -4 - 48 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/1 + (0 - (6 - 3)). Let b = 111 + z. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (33 - -3 - -1) + -65 + -70?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 6*j**2 - 5*j. What is f(6)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 4*w + 4. Let a be 40\/16*(-16)\/20. Let n be p(a). Factor 3\/7*c**2 + n - 3\/7*c**3 + 6\/7*c.\nAnswer: -3*c*(c - 2)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*j = -0*q + 11, -5*j = -3*q + 18. Let r(u) = 3*u - 14*u + 9*u - q + u**2. Calculate the least common multiple of 9 and r(-2).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/69070 and -71\/58.\nAnswer: 2003030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 19)*(-4*g + 3*g + 2 + 4*g) in the form v + f*g and give f.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v**3 - 1 + 122*v + v**2 - 4*v**3 + 6*v**3 + v**4 - 19*v - 1 in the form j + s*v + x*v**3 + f*v**2 + b*v**4 and give s.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 7 + 1)*(-39*a**4 + 33*a**4 + 116*a**4 + (-a**2 + 4 - 4)*(2*a**2 - 4*a**2 + 3*a**2)) as i*a + r*a**4 + b + s*a**3 + p*a**2 and give r.\nAnswer: -545","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 80 = 8*n. Let z(m) = -m**3 - 6*m**2 + 6*m - 11. Let d be z(-8). Let t = d + n. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.24145 + -0.24. Round i to 4 decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - 3)*8\/(-10). Let v be g + (3 - (-46)\/(-7)). What is the nearest to -0.1 in -1\/3, v, -7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43215 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j + j - 2*j)*(-2 - 1 + 1) - j - 5*j + 5*j.\nAnswer: 13*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000035857 to seven decimal places.\nAnswer: -0.0000359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 1257 = -2*r + 1260, -r = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1041008311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 13*c + 15 + 39 + 9*c. Let b be v(-8). Let s = 603 + b. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -207 + 4?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 + n**2 - 4*n**2 + 2*n**2 + 3*n - 3*n + (-n**2 - 2 + 2)*(2 - 1 - 2) + 238 - 238 - 22*n**2.\nAnswer: -21*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*j - 3*j + 315. Let w = 141 + j. Let q = 217 - 100. What is the greatest common factor of q and w?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)*3 - sqrt(104))*-1 + sqrt(104) - sqrt(104)*1*4)\/(sqrt(64)\/(-4*sqrt(8) - sqrt(8)) + sqrt(24)\/(sqrt(3)*2)).\nAnswer: -50*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 324\/(-58482)*19\/(-2).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -81*b**4 + 4*b**3 + 82*b - 3?\nAnswer: -972*b**2 + 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z**2 + 11*z - 4. Let u be t(3). Let a be 85135\/15*u\/1394. Let v = a + 1\/2091. What is the common denominator of 77\/6 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22\/29 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.2, 132955, -151?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5e61b (base 15) to base 11\nAnswer: 19678a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 17*t + 192. Let v be x(-10). Suppose -v*f = 2*i - 21*f - 1550, 770 = i + 3*f. List the prime factors of i.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 181*k**2 - 1318*k - 174220. Calculate r(-183).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 7*d**2 - 5*d - 2. Let b be l(7). Let r = b - -76. Is 13 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 0.2 (c) 5\/6 (d) 0 (e) 329\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**2 - x - 2. Let w = 1 - 0. Suppose 0*o + w = o - y, -5*o - 7 = -y. Calculate u(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1095360.2 - 0.\nAnswer: -1095360.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.7 + 3.6. Let s = l + 1.1. Which is the closest to -1\/4? (a) -0.3 (b) s (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 56676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9952\/19573 + -126\/529. What is the nearest to m in 2\/29, -0.1, 4?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -0.1, 12, -4, -1\/3 in descending order.\nAnswer: 15, 12, -0.1, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + 2*sqrt(72) + (sqrt(72) + 1)*-1 - (-1 + sqrt(72)*1 - (sqrt(72) - (sqrt(72) + 0)*-6)))**2 + 3.\nAnswer: 504*sqrt(2) + 21177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 439, 414, 339, 208, 15, -246, -581, -996?\n\"Answer: -l**3 - 19*l**2 + 39*l + 420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pty when three letters picked without replacement from zyttitppipizptti?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(432) + sqrt(432) + -2*sqrt(432)) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 9:52 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 8 + 2*c**2)*(-13 - 11 + 47) as o*c**2 + q*c + a and give o.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -92425.53 - -91992. Let h = 430 + y. Round h to 1 decimal place.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 9:57 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*m + 5*g = -27*m + 2*g - 9, 3*g = -4*m - 4 + 1 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*l**3 + 69*l**3 + 27*l**3 + 15*l**3.\nAnswer: 191*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10734 and 1544.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 180460?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**2. Let b be 8\/3*(-2 + (-14)\/(-4)). Let h be ((-2)\/b)\/(7\/(-28)). Let f(v) = 5*v**2 + 3*v**2 + h*v**2 - 8*v**2. Calculate f(y(a)).\nAnswer: 18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38 - -24. Let g = 8 - d. What is the remainder when 108 is divided by g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7198 and 118.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5*s - 56. Let l be w(19). What is the second derivative of 56*j - l*j**2 - 5 + 5 - 94*j wrt j?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 10:46 AM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1 - 7*g**3 + 21*g**3 - 8*g**3 wrt g?\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8*1 + (-1 - 2). Suppose 0 = -g*n + 30 - 0. Suppose 6*z = 4*z + n. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13875166 and 522?\nAnswer: 124876494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19 - 0.293.\nAnswer: 18.707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**4 + 643*i**3 + 98108*i**2 - 606772*i + 815952 = 0.\nAnswer: -382, -267, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 1. Let z(d) be the second derivative of 5*d**3\/6 - d**2\/2 - 28*d. Determine z(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -n**5\/30 - n**3\/3 - n**2. What is the derivative of p(i) wrt i?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2000211 + -200010?\nAnswer: -2200221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5*t - 110 = 0, 61*j - 50 = 62*j - 5*t. Let x(n) = 9*n + 12. Let g(m) = 2*m + 3. Determine j*g(a) + 4*x(a).\nAnswer: 6*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 7 - -2) + -2 + 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -1 - 25 - -5 - (3 - 10).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 6502 to the nearest 100.\nAnswer: 6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.044883 + -136.703117. Let g = 81 - -56. Let x = w + g. Round x to two dps.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2*i**2)*((5 + 0 - 4)*(4*i - 3*i + i) - 22361 + 22401 + 4*i + 2*i) in the form y*i**3 + n*i + o*i**2 + c and give o.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-275)\/77 - (-3)\/(-7). Sort -1, p, 0 in decreasing order.\nAnswer: 0, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p**2. Let m(z) be the second derivative of -z**3\/3 - 3*z. Let o(r) = -r. Let c(s) = -2*m(s) + 3*o(s). Determine l(c(t)).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*3*3*sqrt(114)*-1)\/(sqrt(96) + sqrt(96) + -1*sqrt(96)*-1 + sqrt(96) - (sqrt(96) + (sqrt(96) + (1*sqrt(96) - sqrt(96)) - sqrt(96))*5)))**2.\nAnswer: 171\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(200)*2 + sqrt(200) + -1 + 1 + sqrt(200))**2.\nAnswer: -240*sqrt(2) + 3209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 130*t**2 + 1310*t - 39. Let i be x(119). What is the greatest common divisor of i and 270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -602*d - 2791*d + 1058*d to the form l*d + s and give l.\nAnswer: -2335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11996091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (6 - (3 - 2)) + (-28 - -24) + -43.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*p - 434 = -1536 for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2288 + 7*s + 926*s**2 + 0*s - 2289 - 2*s wrt s.\nAnswer: 1852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of q**4\/12 - q**3\/3 - q**2\/2 + 2*q. Let d be x(2). Let k be 2 + (1\/(-1))\/d. Solve 25 = k*n - 8*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6865?\nAnswer: 5, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -28, -4.\nAnswer: -28, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*f - 6*f. Let b = 55 - 20. Let r = b + f. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**4\/8 - 31*x**3\/8 - 129*x**2\/8 + 31*x\/8 + 65\/4 = 0.\nAnswer: -26, -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x. Let u = 17 + -15. Let f(z) = -15 + 5*z + 15. Calculate u*f(g) - 11*c(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -53060?\nAnswer: 53063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -898 + 831.1. Let i = 66.55 + l. Are 0.9 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**2 + 562668*v - 4501280 = 0. What is v?\nAnswer: 8, 562660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/35)\/(108\/(-30)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-1*-5)\/sqrt(9) - (-4 + sqrt(52) + 4)**2.\nAnswer: -52 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m + 7*m - 2 - 2*m + (2 - 3 - 2)*(12 + m - 12).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 38782 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from ezezzhhezhehzzzhz.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one twentieth of a tonne?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -208344*a*k - 19150*a + 84*k - 1472 wrt k?\nAnswer: -208344*a + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46313 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1100000101101110110111 (base 2) to base 14\nAnswer: 5c6d5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.9714 and -0.2.\nAnswer: 0.7714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((431 - -6) + 8)*(-116)\/(-580)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 21. Let h(x) be the third derivative of -2*x**2 - 1\/2*x**3 + 0 - 1\/24*x**4 + c*x. Differentiate h(q) wrt q.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1102 + 1?\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -652\/5 + 130. Let m be (1 + 1)*6\/9. Let j = -6.33 + 15.33. Which is the second biggest value? (a) m (b) j (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346 a factor of 11272680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -4*s - 42. Let m = 0.069 + 6.631. Let z = -1.7 + m. Which is the closest to 1? (a) z (b) -3\/7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o - 2. Let u(y) = 1. Let h(t) = t**3 + 12*t**2 - 15*t - 24. Let x be h(-13). What is x*u(s) + f(s)?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9453 (base 12) in base 10?\nAnswer: 16191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 5, 14, 27?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/3)\/((-6)\/(-9)). Let a be (((-4)\/(-6))\/((-2)\/3))\/(-2). Determine n, given that 0 - 1\/2*n**4 + 0*n - a*n**3 + 1\/2*n**2 + t*n**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccccccccucc. What is prob of sequence ccu?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -643 - -1252. Let w = x + -7921\/13. Sort 0, 0.4, w.\nAnswer: w, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 3, 0, -1066095?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -105 (base 6) to base 7.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from iippiipiii?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 199 + -256. Let w = h - -72. Sort 1\/2, 0.1, w in ascending order.\nAnswer: 0.1, 1\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s**2 + 31*s - 31*s)*(s - 1 + 1) + 2*s**3 + 4*s - 4*s + (2*s**2 - s**2 - 3*s**2)*(0*s + 0*s - 2*s) to the form q + r*s**2 + g*s**3 + v*s and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -11*p**2 - 14844*p**3 + 12*p - 14848*p**3 - 14845*p**3 + 3 + 44539*p**3. Calculate q(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 0*t**3 - 2*t - 3\/40*t**5 + 0*t**2 + 16 + 1\/4*t**4. Factor p(l).\nAnswer: -3*l**2*(l - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*r - 131*r = 3360 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5247, -5352, -5551, -5844, -6231, -6712?\n\"Answer: -47*g**2 + 36*g - 5236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5*(-12 - -1 - -1). Let o(v) = -v**2 + 359*v - 5589. Let x be o(17). Calculate the greatest common factor of i and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 921180 - 36?\nAnswer: 921144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 242, 239, 236, 233, 230, 227?\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7394214 to the power of 1\/4, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 636771969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 6*p - 3*p - 2*p + 2.\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*w - 16. Let d = w + -2. Suppose -h = d*h - 720. Calculate the greatest common factor of h and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 3*q - 0. Let d be q\/54 - (-7)\/(-9). What is the closest to d in 4, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p + 2. Suppose 4*u = 3*u - 2*f + 3, 0 = -3*u - 2*f + 5. Suppose -2 = -3*t + u. Let z = t + -5. What is d(z)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 16. Let t be (1 - 3\/(-15))\/(16\/40). Sort 5, f, -4, t in increasing order.\nAnswer: -4, f, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -2. Suppose c*o = 3*o - 22. What is the smallest common multiple of 16 and o?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37836644 by -1.\nAnswer: -37836644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -x - 17, -19 = 50*y - 54*y + 3*x for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 2\/17, 23.8, 0.5.\nAnswer: 2\/17, 2\/7, 0.5, 23.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1850073794?\nAnswer: 2, 89, 1777, 5849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -1169*q**3 + q - 2. Let l be r(1). Let z be (l\/(-24))\/(12\/32). Suppose z = 6*i - 266. What are the prime factors of i?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - m - 4*m + 5, 5*m = 15. Suppose g*c + 12 = 2, u - 640 = -3*c. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, x: 2, i: 1, b: 1, n: 1, r: 2}. Give prob of sequence br.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((17 + 5 - 14) + 572\/(-64))?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 759 + -518. Suppose -2*u - 5*m = 3*u - 40, u - 3*m = -8. Suppose y = 5*c + u*h, -106 - 36 = -3*c - 5*h. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2638*i**2 + 1390*i**2 + 1253*i**2 - 9*i.\nAnswer: 5*i**2 - 9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6079 + 17107. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -98 + 101. Solve -v*p + 2*b = 2*p + 17, -2*p - 10 = -4*b for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 + 7641*y + 15270.\nAnswer: 3*(y + 2)*(y + 2545)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 111*r**4\/4 + 212*r**3\/15 - 2*r**2\/5 - 9834. Suppose w(d) = 0. What is d?\nAnswer: -2\/5, 0, 2\/111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30431887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 15, 9*h - 4*h + 9 = -4*d. Let n(u) = u**3 + 5*u**2 - 7*u - 4. Let x be n(d). Solve s + 2 = -x for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + r - 7 = 1, 0 = 196*h - 200*h - r + 29 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27? (a) -38 (b) 0.2 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11629897?\nAnswer: 89, 149, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 28.\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 2*a + 10. Let q be x(-3). Let p(n) = -15*n + n + q*n. What is p(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1305 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k + 854 = 31454. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 98.534 and -6966.\nAnswer: -6867.466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8 times -227\nAnswer: -1816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7.59 in -8, 1, 13\/7, -1, -0.2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.935048 and 137.\nAnswer: -265.101576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 198913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12957, 13071, 13183, 13293, 13401, 13507, 13611?\nAnswer: 13713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 11) to base 5.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1015319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1182037450 divided by -5?\nAnswer: -236407490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5*z - 16*z - 9*z + 28*z**2. Let v(l) be the first derivative of -4*l**3\/3 + 3*l**2\/2 + 407. Give -3*d(m) - 20*v(m).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 19701?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6, -40, -94, -168, -262, -376, -510?\n\"Answer: -10*y**2 - 4*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (39\/(-7) - -5) + (-108)\/7. Let d be (t\/6)\/((-8580)\/1431 - -6). Is (0 + 2 - 0) + (-3 - d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 399*h + 784 + 17386 = 1013 for h.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 120, 175?\nAnswer: 230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/(-33))\/((-6)\/(-18)). Are 0 and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 36236 = 4*r, 23*n = 24*n + 5*r - 9095. Does 37 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 83*y + 1\/3*y**3 - y**2 + 0. Determine n(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -83, -98, -91, -62, -11, 62?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 257 = 293. Calculate the remainder when (s\/45)\/((-4)\/(-10)) - -65 is divided by (-1 + 4)*85\/15.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 671416565 and 0.18?\nAnswer: 671416564.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a day in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17136857\/689167020 + 1\/376594. What is the common denominator of 95\/244 and i?\nAnswer: 3660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3703734.38237 + 3701754.37. Let s = n + 1980. Round s to 3 dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of f**5 - 4*f**2 - 13. Find the second derivative of w(d) wrt d.\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gxxxxxxxxggxxxxxxx. What is prob of picking 2 g and 2 x?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 655881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 87670 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) 2\/3 (c) 983\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 - 481690*m + 3853840.\nAnswer: -5*(m - 8)*(m + 96346)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 498 by -3.\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3560.\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 + 2*x - 5. Let u(b) = -2*b**2 - b + 4. Let a(z) = -6*m(z) - 7*u(z). Suppose -5*s - 8 = -2*t - 0*s, 20 = 5*t + 2*s. Determine a(t).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 609*x + 3031. Calculate w(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1322661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -5*r**2 + 4*r - 32. Let k(d) = 14*d**2 - 11*d + 96. Calculate 11*b(j) + 4*k(j).\nAnswer: j**2 + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*k + 8. Let g = -2 + 3. Calculate the remainder when k is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (3 + -1 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.189 and 0.052.\nAnswer: 0.009828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -18230?\nAnswer: -1823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**5*i)\/i)\/i)**(-2\/27) assuming i is positive.\nAnswer: i**(-10\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 123503\/1198 less than or equal to 103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1502*y**2 + 163*y**2 + 60*y**4 - 468*y**2 + 641*y**4 wrt y?\nAnswer: 16824*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1228297, -4913268, -11054885, -19653148, -30708057, -44219612?\n\"Answer: -1228323*f**2 - 2*f + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 5*c. Suppose 3*q - 2 = 4. Let o(i) = -4*i**2 + 5. Let x(p) = p**2 - 1. Let m(z) = q*o(z) + 10*x(z). Give m(h(b)).\nAnswer: 50*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 - -2) + 50\/2. Suppose -3*s - 4*k + 8 = -10, 0 = 3*s + 5*k - u. Solve -5*y + 22*y**2 + 21*y**2 - 60*y**s + 22*y**2 = 0 for y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9345\/178*(3 - 91\/35).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*q + 30 + 2, 2*q = 4*j + 114. Let g = j + 14. Let h be 5\/1*(-9)\/3. Are g and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**3 - 9*d**2 + 247*d + 1319. Determine n(-6).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 3*v**5\/20 - 3*v**4\/16 - v**3\/8 + 2*v - 47. Factor t(l).\nAnswer: 3*l*(l - 1)*(4*l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203 - 448 = 3*u - 4*m - 178, 5*u + 2*m + 103 = 0 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 747 - 747 + 2*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 + (46 - 43).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.371 less than -1318.419829?\nAnswer: -1315.048829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -24) + (221 - 246).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u + 5. Let m(o) = -4*o + 4. Let i(r) = 5*m(r) - 4*s(r). Let k be 1\/(-1) + -2 + 0. Let f be i(k). What is the greatest common factor of f and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(11) - (sqrt(11) + -2 + 2))*1 + (3 + sqrt(275) + 0 + sqrt(275) - -3*(sqrt(275) + -2))**2.\nAnswer: -150*sqrt(11) + 6884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of 1\/2*h**3 + 0 + 1\/8*h**6 + 0*h + 3*h**2 - 5\/8*h**4 + 3\/20*h**5 - 2\/35*h**7. Let w(g) = 0. Calculate g.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 59, 79, 113, 161, 223, 299, 389?\n\"Answer: 7*j**2 - j + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1641164 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9\/(-12)*6)\/(21\/28). Let b be -22*7\/2 + (l - -3). Let m = -36 - b. What are the prime factors of m?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 - 6*d - 3. Let s be r(4). Suppose -s*k = -8*k + 465. What are the prime factors of k?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46516 and 13611544?\nAnswer: 1604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 84 = -0*r. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ocammwf. What is prob of sequence cw?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1)*a**(-1)*a)\/(a\/((a**2*a)\/a))**14 assuming a is positive.\nAnswer: a**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100001 (base 2) to base 5.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -565 - -560 - (-1 - 83215*5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5652236s to nanoseconds.\nAnswer: 565223600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7360215.\nAnswer: 3, 5, 71, 6911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-65)\/(-5) + -6)*1\/1. Suppose -20 = -9*s + l. Suppose s*r - 32 = 253. Calculate the remainder when r is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**5 - 3*j**5 + 4*j**5 + (-j**5 + 4*j**5 - 2*j**5)*(0 + 0 - 1) - 1221*j**3 + 527*j**5 + 1221*j**3.\nAnswer: 524*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 0, -5, -3, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - -49. Let o = n - 38. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 4*h + 6, 0 = n - 0*n - 5*h - 3. Suppose -v + 1 = -l - 5, -14 = -2*v + n*l. Calculate the highest common factor of 32 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11441540 (base 6) to base 15.\nAnswer: -729a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -7*d + 19*d - 10*d. Let b(v) = 226*v**2. What is b(q(z))?\nAnswer: 904*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20 + 11 - -4) + 9498 + -1. What is the highest common factor of 84 and y?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hiihhiiiii. Give prob of sequence hiih.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 5. Let g = 8.99999993 + s. What is g rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.8 in 2\/7, -15, -4, -0.4, 9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 76*t**3 + 12*t - 12. Let m(p) = p**3 + p - 1. What is 24*m(a) - 2*x(a)?\nAnswer: -128*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15179862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 0.21, 1.5, 4\/7, 2, 6626, -8\/9?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-6)*2\/(-15)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 1:04 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -0.4, -162, 0.29, 0.2 in descending order.\nAnswer: 1, 0.29, 0.2, -0.4, -4, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 w, and 1 c when four letters picked without replacement from {h: 4, y: 1, g: 2, w: 2, c: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**2 + 2*f + 104*f + 13*f as g + j*f**2 + k*f and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00048923524 rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -111832\/19 or -5885?\nAnswer: -111832\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7347000 rounded to the nearest one hundred thousand?\nAnswer: -7300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/144353 and 46\/65615.\nAnswer: 721765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 20592 - -10982859994\nAnswer: 10982880586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 11:48 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + y = 781, 7*p + 4*y + 368 = 9*p. What are the prime factors of p?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + h + 3*h**2)*(-8*h**2 - 8*h + 3*h**2 + 6*h).\nAnswer: -15*h**4 - 6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - -2. Let m be s\/(-1 + -3) + -2. What is the nearest to 1 in m, -3\/4, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 10 = -9*x - 5*t, 28 = x - 5*t. Find the second derivative of 101*v**3 - 3*v - 90*v**x - 9*v wrt v.\nAnswer: 66*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/4))**(-16)*(w*(w**(-2\/5)*w*w)\/w)**(-2\/29))\/((w\/w**0)**16\/(w**(-1\/4)\/w*w**7)) assuming w is positive.\nAnswer: w**(-3689\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103695503?\nAnswer: 29, 3575707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 at least -231\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71821, -131835, -191837, -251821, -311781, -371711?\nAnswer: -431605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (981\/(-1526))\/((-18)\/(-21)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 420?\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 3:06 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -4*w + 34, -2*s + 31 = -0*w + w. Suppose -20*l + 1665 = -s*l. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -2\/28573 (b) 88 (c) 1\/5 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from httrhz. Give prob of picking 1 z and 1 t.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ztzt when four letters picked without replacement from {z: 6, t: 4, o: 1, m: 5}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 8*k. Let g(h) = 10338*h**2 + h + 5. Let n be g(-2). Let w(y) = -n + 41355 + 18*y. Calculate l(w(q)).\nAnswer: 144*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16005?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of i**4\/12 + 5*i**2 + 7*i + 2. Let u(v) = -2*v. Calculate n(u(r)).\nAnswer: 4*r**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -36*x - 2. Calculate h(-1).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10186 + -10188. Let g(f) = 3*f**3 - 4*f**2 - 2*f - 1. Give g(n).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or 1\/342?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.49 + 1.61. Let z = 7.9 + g. Let j = z - 9.99993. Round j to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h + 1 - 2 + 5*h. What is the units digit of p(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10388922 from -13195.\nAnswer: -10402117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*i - 37*i = -29*i + 105*i - 2516 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 10 = 2*n - 5*j, 2*j - 10 = -n. Solve -o - o = -5*x, 0 = -x - n for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*d + 4 - 1, -3*t + 149 = -6*d + d for t.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-2 - -3) + -13.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4*t = 0. Let u = 3 + t. Solve 5*p + 4 = -0*h + u*h, 3*h - 3*p = 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 3*z = -2*f - 59, 3*z + 5*f = -53. Let v = z - -49. Solve -5*b + v = 4*j, -3*b - 5*j + 18 = -b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**3 - 77*x**2 + 282*x + 3136. Give t(-41).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -0.66?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*o + 126*o + 4*c = 13, -6*c = -24 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201*z**2 - 68*z**2 - 59*z**2 - 70*z**2.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/8, -8\/15, 0.3, 0?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 28313?\nAnswer: 28314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1987657 and 1071?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -60 and -121.3?\nAnswer: 61.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10723 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((7 - 4) + 2 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18114928 and 218.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.14 (b) -0.12 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -11599 to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3273 - 1412 + 1633 + (1 + 1 - 1)*(4 - 1 - 5))*(l - 1 + 1).\nAnswer: -3054*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 h when two letters picked without replacement from tytppythhpecytytypp?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5886561 and 1647.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 v, and 1 w when three letters picked without replacement from {w: 3, f: 8, v: 7}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (9 - (-14)\/(9 - 10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p - 57*q + 56*q - 44, 2*p = 89*q + 336 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 231010122 (base 4) to base 3\nAnswer: 100101020010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2160\/660 - 3\/11. Which is the third smallest value? (a) -1\/6 (b) -1 (c) 0.13 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 44. Let z be m(-9). What is the highest common factor of 7 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (139\/(-2))\/((-330)\/100). Let u = m + -64\/3. What is the nearest to u in -4, 2\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*v - 157 = 4*s, -s - 5*v - 89 = 0. Let g = 11 - s. Does 10 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d + 1. Let q(h) = -h - 1. Suppose -s = 3*u + 16, 0 = 3*u - 5*s + 17 + 11. What is u*q(o) - 4*x(o)?\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39908.58 years to millennia.\nAnswer: 39.90858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 659690 to the nearest 1000.\nAnswer: 660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9210872789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5*t**2 - 31*t - 74. Is x(24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123 (base 5) to base 14\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58280950?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 790, 2868, 6344, 11224, 17514?\nAnswer: 25220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4940\/(-285) + (-34)\/(-2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 3*u**2 - 7*u - 6. Suppose 8*d = 4*d + 16. Let s be d\/(3 + (-3 - 1)). Let n be c(s). Solve 0 = 3*k + q - n, -9 = 3*k + 5*q - 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.14 - -7.14. Let y = q + -54. Let n = -47.066 - y. Round n to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2*f**3\/9 - 1582862*f**2\/9 - 1582868*f\/9 + 3165728\/9 = 0.\nAnswer: -2, 1, 791432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -i - 4. Put 1, i, 4, 2 in descending order.\nAnswer: 4, 2, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/37, -6792, 6 in increasing order.\nAnswer: -6792, 2\/37, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10007338 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((-42)\/15 - -3). Let n = 22 + g. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/(-96))\/(5\/(-24))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13783.\nAnswer: 7, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82950?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/30 and 43\/56976?\nAnswer: 284880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3776)\/(-18) - (80\/(-36) + 2). Let s = 373 - d. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -299248, -1\/88, 2 in decreasing order.\nAnswer: 2, -1\/88, -299248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -798 - -428. Let d be 15\/35 + r\/14. Let o = d - -40. Calculate the smallest common multiple of 22 and o.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 568083 is divided by 165?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48163800 divided by -5.\nAnswer: 9632760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of 0*o**2 + 0*o**4 + 1\/6*o**6 - 6*o - 1\/2*o**5 + 0*o**3 + 0. Solve j(n) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16059557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155 a factor of 128281230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qba when three letters picked without replacement from {q: 1, n: 3, k: 1, a: 1, b: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v - 7 - 4 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1317731, 5270961, 11859685, 21083903, 32943615, 47438821, 64569521?\n\"Answer: 1317747*v**2 - 11*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 8*c + 1. Let s = -2578 + 2577. Let x(j) = j - 1. Give s*r(d) - x(d).\nAnswer: d**2 + 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180 = -47*a + 17*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 240 and 330?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*f - 7*f + 5*f)*(-5060*f + 5060*f + 383*f**3) as h*f**4 + m*f + g*f**3 + b*f**2 + w and give h.\nAnswer: -3447","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2 - 5 + 8. Let u be (0 - 1)\/(1\/(-12)). Let y(f) = 2*f**2 + 12. What is u*s(r) - y(r)?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 6*n**3\/13 + 662*n**2 + 373600*n\/13 - 2269870312\/13 = 0.\nAnswer: -934, 1301\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18309 and 43347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five eighths of a minute?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74382 is divided by 24605?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*c**2 + 34*c**2 + 63*c**2 + (-3*c**2 + 0*c**2 + c**2)*(0 + 0 - 2) + 2*c**2 - c**2 - 2*c**2.\nAnswer: 84*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4*l = 4*f - 20, -3*f + 8 = 5*l. Let n be (f - 9)*22\/(-6). Solve g + a = 3*a - n, -2*g + 23 = 5*a for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u**3 - 2*u**3 - 3*u**3)*(0 - 1 + 2 + (-1 + 2 - 3)*(4 + 1 - 6) + 1 - 5 + 2 - 3 - 2 + 6) - 7*u**2 + 10*u**3 + 7*u**2.\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.077 + 0.07700019. What is s rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a - 5*a - 4*a**2 + 4*a. Give d(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -140*l + 124*l - 35 - 59. What is m(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9 - (-308)\/36) + (-116)\/(-18). Solve 3*x = -a, -2*q + 2*x = 5*x + 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**2 - 4530*b + 187411 = 0. Calculate b.\nAnswer: -4571, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - ((-2678)\/169 + (-4)\/26). Let r(q) = 20*q**2 + q. Let m be r(-1). Is m > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - 4*(sqrt(7) + sqrt(14)\/sqrt(2) - sqrt(7)))*-2*3.\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by (20\/20)\/(-3)*-9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/4 - 5*v**2 - 23*v\/4 + 21\/2.\nAnswer: (v - 21)*(v - 1)*(v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 6. Let m be (6\/(-4))\/(o\/(-4)). Which is smaller: -2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5640166 is divided by 2850?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 778*y = -776*y - 5875, -5*m = y - 29339. Is 5867 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**5\/9 - 98*v**4\/9 - 634*v**3\/9 + 17822*v**2\/3 + 12048*v + 6048 = 0?\nAnswer: -21, -1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88, -8, 0 in descending order.\nAnswer: 88, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 103076 a multiple of 292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 5.6?\nAnswer: 1.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 102\/20 - 7\/70. Solve 2*q = 3*c + 6, w*q + 48 = -5*c + 13 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - (-3 + (-767)\/2) - (-57)\/(-114). Solve -386*b - 18 = -k*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(294)*2 + sqrt(294))*4)\/(sqrt(108) - ((sqrt(108) - (sqrt(108) - 1*sqrt(108)*6)) + sqrt(108))).\nAnswer: -7*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -36668583 divided by 2?\nAnswer: -36668583\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -3b?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*i**2 + 3*i**2 + 9*i**2 + 22*i**2.\nAnswer: 66*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*w + 17. Let n(a) = -a**3 - a**2 - 3*a - 1. Let g be n(-2). Suppose -m - w*t = -g, 4 = 2*t - 0*t. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*(-17)\/1666*(0 - 12)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 6*o**3 - 18*o**2 - 2*o + 1. Calculate m(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 7*g - 24. Let l be s(-10). Differentiate -3 - 23*v - l + 52 - 7 wrt v.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 898b + 1a?\nAnswer: 89a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2326*h + 2073*h + 129*h - 939*h.\nAnswer: 3589*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-5)*(1 - -4 - (-264)\/4). Solve p*s - 12 = 148*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*0.002.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*m**2*p**2*s - 3*m**2*p*s + 1270782*m**2*p - 44065*m*p**2*s + 28*m*p**2 - 10*m*p + 3 wrt m.\nAnswer: 20*p**2*s - 6*p*s + 2541564*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2761*n + 2753*n + 2758*n - 8271*n. Let m(a) = 178*a. What is m(o(r))?\nAnswer: 178*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -27 divided by -5341\nAnswer: 27\/5341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 19.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -5*a - n + 30, 2*a + n = 12. Let f(g) = -g**2 + 4*g + 7. What is f(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 48*r**5\/5 + 456*r**4\/5 - 633*r**3 - 1866*r**2\/5 + 1497*r\/5 - 42 = 0.\nAnswer: -14, -1, 1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8 - (-1)\/(-3)*3. Let o be 4\/(-2) + -2 + l. Let x(s) = -o*s**2 + 4*s**2 + 0*s**2. Let y(q) = -q. Calculate x(y(r)).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 2, 305.08 in ascending order.\nAnswer: 2\/7, 2, 305.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -219, -779, -1717, -3033, -4727, -6799, -9249?\nAnswer: -12077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4991050330.\nAnswer: 2, 5, 7, 10185817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (-6 - -4)) + (12 - -5).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2185.37 and -1?\nAnswer: -2185.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggfllfgfgllg. What is prob of sequence flf?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 633163.\nAnswer: 41, 15443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence seeh when four letters picked without replacement from eseshhhehhesees?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -d52 (base 14) in base 2?\nAnswer: -101000111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 6*j - 141 = -3*j, 0*v + 33 = -2*v + v + 3*j for v.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (-3)\/((-15)\/(-10)). Let r(a) = a**2 + 3*a + 1. Determine r(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 768.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 65\/6*k**4 + 4*k - 2\/3 + 25\/2*k**5 - 25\/6*k**2 - 21\/2*k**3 = 0.\nAnswer: -1, 1\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -2. Suppose 5*o + 0 = -15. Let u be o - ((-65)\/(-10) - 11). What is the nearest to h in 0.5, 3\/5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 3*w - 7. Suppose -5*o = 4*u - 8*u - 1, 22 = -2*o - 4*u. Let y be o\/3 - (-2 + 0). Let z be -1 - y - (-2 - 5). Determine n(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((2 - 6)*-1)\/2. Suppose 4*m = -q - 2. Suppose -6 = -a - 1, 0 = 2*n - 2*a + 18. Sort m, n, 4 in ascending order.\nAnswer: n, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -149 + 175.7. Let q = v + -23.7. Let g = -2 - -3. Which is the second smallest value? (a) g (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 960, -2\/5, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1488\/(1*-2)*174\/(-348) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120442051 (base 6) to base 16\nAnswer: -22bb8f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2. Let k(a) = -9*a**2 + 2. Suppose 0 = 4*h - 3*r - 17, -r + 2 = 5. Let b(q) = 17*q**2 - 5. Let d(l) = h*b(l) + 5*k(l). Calculate d(f(m)).\nAnswer: -44*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 45 = 45. Suppose 3*m + 3*d - 30 - j = 0, 2*d + 82 = 5*m. What is the remainder when 37 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/3 (b) -0.84 (c) -10 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 6*d = -6 + 12, -5*d - 5 = 4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-6)*j\/(j\/(j**(-2\/3)\/j)))**31 assuming j is positive.\nAnswer: j**(-713\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 + 478188*c.\nAnswer: 3*c*(c + 159396)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-11 - -2 - -4). Solve -13 + 33 = r*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 8*m + 7. Let x be s(-6). Let k = -201 + 170. Let r(j) = j**2 + 30*j - 30. Let q be r(k). Sort q, x, -2.\nAnswer: x, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sws when three letters picked without replacement from {t: 1, v: 4, w: 2, s: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus -25.2631?\nAnswer: 25.3631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 154*y = -152*y + 4, -15 = -5*c + y for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 360 and 2844.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 278612.6 days?\nAnswer: 39801.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -1496*f - 189. List the prime factors of y(-13).\nAnswer: 19259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 551 or -1907?\nAnswer: 551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -13 and -13.1.\nAnswer: -26.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 4*n**5 + 872*n**4 + 31248*n**3 + 402840*n**2 + 1752300*n = 0.\nAnswer: -177, -15, -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + 8 - 11)\/(-1). Solve w = -j - 2*f, 0 = 4*f - 3 - 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2310426402 to the power of 1\/2, to the nearest integer?\nAnswer: 48067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*b - 237*b = -w + 513, -2122*b - 4*w = -2119*b - 81 for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3.2 * 15467\nAnswer: -49494.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -3, -319, 5 in decreasing order.\nAnswer: 5, 0, -1, -3, -319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -17*r**3\/6 - 9*r**2 + 10*r. Find the first derivative of f(y) wrt y.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 173527144 to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a (base 15) in base 5?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 2*r**2 + 5*r - 35. Calculate f(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = p + 2*f, 4*p - 2*p + f = -6. Let k be -2 + p + 3 - -25. Let j = k + -12. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 576.9559 centuries to years.\nAnswer: 57695.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128 + 7.43.\nAnswer: -120.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*d, -s - 2 = 4*d - 11 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10110021212212 - 0?\nAnswer: -10110021212212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/10*(-100)\/80)\/(((-924)\/32)\/7)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 11:10 AM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135, -300, -499, -750, -1071?\nAnswer: -1480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-1*((-2750)\/(-20))\/25.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x + x - 15 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 312926 = -4*p - u, 4*p - 5*u = 312934. Let y = -33968 + p. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56121140 divided by 88940.\nAnswer: -631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*((-247)\/(-26) + -11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5486*q - 201066 = 1208*q for q.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21528 and 0.2.\nAnswer: -4305.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u**3 + 3*u**2 + u - 2. What is p(2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - k + 132 = 133, -5*k = 4*s + 17 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 92505.26l?\nAnswer: 92505260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4656318 (base 9) in base 12?\nAnswer: a14a75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-24)\/t*t)\/t**22*t*t\/t**27*t*(t*t**(-1\/27)*t)\/t assuming t is positive.\nAnswer: t**(-1864\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1090116 to the power of 1\/3, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 45 = -4*y. Let a be (-100)\/y*12\/10. Let o be 21\/(-35)*(-2 - a). Solve o*k - 5*k + 1 = -u, -k = 3*u - 5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1002022 (base 3) to base 6\nAnswer: -3355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12143 (base 6) to base 8\nAnswer: 3377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15\/2*h**3 + 3*h**2 + 0*h - 24*h**4 + 27\/2*h**5 + 0.\nAnswer: 3*h**2*(h - 1)**2*(9*h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = n + 2*g, n = -5*g + 4*g - 8. Let q(t) = -2*t**2 - t. Let z(d) = -d**2 - d. Determine n*z(u) + 3*q(u).\nAnswer: -2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130*l + 8*l + 21 + 101*l - 5 + 20*l.\nAnswer: -l + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 - -9. Let z = n - -16.4. Let d be ((-8)\/((-144)\/15) - 1)\/(6\/(-27)). What is the third biggest value in -0.5, z, 2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 7*x = 29, 169*l - 5*x = 166*l - 19 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**26)**(-49)*(f*f**(3\/8)*f*f*f)**28 assuming f is positive.\nAnswer: f**(-2303\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + p - 1. Let i(r) = 6*r**2 - 13*r - 13. Let g(y) = -i(y) - 5*j(y). What is the remainder when 26 is divided by g(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -0.2 (c) 18124\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) + -2)*-1 - (-1*sqrt(1700)*-2)**2.\nAnswer: -6798 - 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**7\/t*t**(-3\/2))**(3\/23) assuming t is positive.\nAnswer: t**(27\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15.66 and 0.1?\nAnswer: -1.566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 - 11 = 33*l - 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 7:21 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51514 is divided by 8559?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -106 + 70. Let i be 4\/x + 732\/27. Let o = 358 - i. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 + 31*t + 22. Let y be 3\/(-2*(-5)\/(-70)). Let d be c(y). What is the highest common divisor of 23 and d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 932634.2 litres in millilitres?\nAnswer: 932634200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 5*o**4\/4 + 3*o**2\/2 - 10*o. Let y be w(-2). What is the remainder when 1467\/y - 2\/7 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 12. What is the third derivative of t**2 + 2*t**2 - 4 - 4*t**p + 4 wrt t?\nAnswer: -96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 + 4*l + 9. Let t be z(-6). Suppose t + 22 = 3*o + 2*i, 2*o - 4*i - 58 = 0. Calculate the remainder when o is divided by (-2)\/(3\/(-3*5)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-12)*(-1)\/((-10)\/(-40)). What is the second smallest value in 1.9, z, 2?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111223003 (base 4) in base 12?\nAnswer: -14b0ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -14985628?\nAnswer: -59942512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 1\/30*a**5 + 7*a**2 + 0 + 0*a - 1\/2*a**4 + 3*a**3. Factor s(b).\nAnswer: 2*(b - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = 5*p - 18*p. Let j(y) be the third derivative of 1\/8*y**4 + 0*y + 0 - 1\/40*y**p + 0*y**5 + 0*y**3 + 2*y**2. Let j(w) = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 209, 222, 235, 248?\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 7 + -2 + (-5 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h - 450 = 12*h - 4*i, -6*h + 5*i + 141 = -12*h for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 21. Suppose 3*c + 2 = -19. Let z = c - j. What is the highest common divisor of 90 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*a - 18 = 0, -2*i = -0*i + 2*a. What is the first derivative of 0*n**3 + 7*n**3 - 20*n**3 + 2*n**i + 6 wrt n?\nAnswer: -33*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 581 and 2023.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -144422682*a + 170335415.\nAnswer: -144422682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -167448493*q**3 - 281337*q**2 - 24 wrt q.\nAnswer: -1004690958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 15. Let c be (-8)\/(2 + (2 - u)). Let l be -3 + 0 + c\/6. Which is greater: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 6*f**2 + 9*f + 17. Let i be p(-7). Suppose -2*r + 1 = -3*g + 3, 2 = -i*r + 5*g. Sort 5, r, -6, -5 in decreasing order.\nAnswer: 5, r, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365155 is divided by 501.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2043 (base 8) to base 10.\nAnswer: 1059","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 7*u + 15. Let t be o(4). Suppose -2*m + 477 = m. Suppose m + 507 = t*f. What are the prime factors of f?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 8:10 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 1. Let d be 3\/((-21)\/(-6) + r). Suppose -5*u = -4*x + 39, -5 = -d*x - u + 4. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 25146 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**3\/5 + 6504*t**2\/5 - 26048*t\/5 = 0?\nAnswer: -3256, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 80, 83, 100, 137, 200, 295, 428, 605?\n\"Answer: x**3 + x**2 - 7*x + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l**3 + 6*l - 4. Let g(b) = 11*b**3 + b**2 - 18*b + 11. Let w(x) = -3*g(x) - 8*t(x). Let p be 2 + -2*(2 + 2). Is w(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6457.769 tonnes in grams?\nAnswer: 6457769000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 + 99 - (-7 + 8 + 8)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 201 + -196. Is d greater than or equal to 66\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**6\/120 - 7*p**5\/30 + p**4\/2 - 5*p**3\/2 + 27*p**2. What is the tens digit of w(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 19\/(-703)*-37*(3*-6 + 1). Let j(z) = -6*z**3 - 17*z**2 + 17*z + 32. Let c(l) = l + 5*l + 2*l**2 - 8*l**2 - 2*l**3 + 11. Give n*c(x) + 6*j(x).\nAnswer: -2*x**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*((-15)\/(-4))\/(-5). Let j(v) = 1 + y*v - 1. Let i be j(1). Solve i*g - 2 - 4 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 1)\/(1 + 1). Suppose 2*x - 3*o + 4 = 0, 3*o = -k + 12. Solve -2*z + 7 = -5*r, -x*z + 3*r = -3*z - 5 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/14560 and 101\/56.\nAnswer: 14560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5.5623 or 3?\nAnswer: 5.5623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248*z**2 + 268 - 520*z + 520*z - 268.\nAnswer: -248*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56271, -55815, -54587, -52203, -48279, -42431, -34275, -23427?\nAnswer: -9503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 221, -24, -7, 2\/3?\nAnswer: 221","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -967*-0.11\nAnswer: 106.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - 134 - (183 + -214)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 8:07 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2467.\nAnswer: 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 274236 to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 199\/485 - 1\/97. What is the closest to 0 in -9, f, 4\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6198, -4988, -3774, -2556?\n\"Answer: 2*t**2 + 1204*t - 7404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3*sqrt(5)*-6)**2.\nAnswer: 1622","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -86586*k**4 + 133385?\nAnswer: -346344*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -544*c**7\/21 - 5507*c**4\/24 + 161*c**2 - 4*c. Find the second derivative of i(b) wrt b.\nAnswer: -65280*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (4 - 938\/(-92)*(-428)\/1498).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nrhr when four letters picked without replacement from {h: 1, n: 2, r: 4, b: 9}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 119, 2, 19 in decreasing order.\nAnswer: 119, 19, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 95554 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5432447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + 22. Let w(x) = x**2 - 17*x + 60. Let z be w(12). Suppose -4*k - 71 + 663 = z. Calculate the highest common divisor of v and k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 2*b**2 + 7*b + 2. Let n be i(4). Let c(y) = -1004*y**3 + 11*y**2 + 16*y - 5. Is c(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*n = -8*n + 137 - 38 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -6*k**2 - 255*k + 121. Give q(-43).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 896034 and 1161.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 37*h + 2. Let r(y) be the first derivative of y**5\/120 - 44*y**3\/3 + 77. Let m(p) be the third derivative of r(p). Determine m(b(w)).\nAnswer: 37*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -3*a**4\/16 + a**3\/4 + 3*a**2\/8 - 3*a\/4 - 225. Factor s(o).\nAnswer: -3*(o - 1)**2*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, f: 4, h: 1, r: 5}. What is prob of picking 3 r and 1 h?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.12 + 4.48. What is k rounded to 1 dp?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 9:21 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + 2*m - 98, -17*c + 10*m + 140 = -12*c + 9*m for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*s + 274 + 585 + 116 = 0 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 6*r - 99. Suppose -59 + 7 - 2*l**2 + r - 20*l - 9 = 0. Calculate l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -416*u - 5. Is a(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 5*g**3 + 5*g**2 - 6*g + 2. Give l(2).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1145381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5 + 1. Let b(r) = 2*r**2 + 5*r - 3. Let i be b(u). Suppose -5*y + 0*y + i = 0. Calculate the lowest common multiple of y and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4580*l = 8889*l - 4848*l + 4583*l + 1584480 for l.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -12.1879 times 3\nAnswer: -36.5637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*g**4 - 2*g + 9*g**4 + 16*g**4 + 3 - 8*g**3 - 33*g**4 in the form h*g**3 + a*g**4 + q + k*g**2 + c*g and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 51\/2 of a microgram?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11858813?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.19 rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, -201, -400, -653, -948, -1273, -1616?\nAnswer: -1965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, f: 3, a: 1, s: 3, p: 1}. Give prob of sequence fsg.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 292227 and 38350.\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 738525.2 millennia to years.\nAnswer: 738525200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004923 to 4 decimal places.\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + 6*r + 4*v + 10, 3*v - 10 = 5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/18 at least 23939?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 3*r + 6, -b + 3*r - 5 = 5*r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/6356 and -145\/2724?\nAnswer: 19068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + i - 45 = 0, q + 8*i + 13 = 9*i. Let c be 0 - 8*(7 + q). Which is smaller: c or 9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3, -26, -111, -282, -569, -1002, -1611?\n\"Answer: -5*u**3 + 2*u**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 + (-14 - -28))*((-62)\/20 + 3) + -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a millennium in centuries?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*j + 43*j + 45*j - 241*j + 50*j.\nAnswer: -38*j","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Factor 7*b**3 + 565*b**2 - 205288*b\/7 + 305252.\nAnswer: (b + 119)*(7*b - 134)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 4, 22 in descending order.\nAnswer: 22, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 43436896?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 - 42. Let z = 5 + -3. Solve -z*j = -5*r - j - 19, c*r - 3*j + 24 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gvtt when four letters picked without replacement from {t: 4, v: 2, g: 6}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/10)\/(18\/(-27)). Which is greater: 1\/3 or j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004508181 rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z = -43*z - 969 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -146022635 less than -22?\nAnswer: 146022613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 0*j**4 + 0*j**3 - 105 + 0*j**5 + 0*j - 127\/2*j**2 - 19\/2*j**6. Find the second derivative of r(q) wrt q.\nAnswer: -1140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 27*a - 31*a + 28, 0 = -3*z - 2*a + 14. Suppose -9 = -g - 4. Solve -g*j - 10 = -z*v + 5*v, 0 = j - 5*v - 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 8. Suppose -d*n + 4*f = -0*n - 8, -3*n + 4*f = -6. Solve n - 4 = -o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -201 - -420130?\nAnswer: 414424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.101 and -808700.\nAnswer: -81678.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -59*b - 90*b - 43*b + 158*b - 99. Give h(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -519*x**3 - 1188.\nAnswer: -1557*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s. Let l(x) = -3*x - 2*x + 0*x. Let c(r) be the third derivative of -11*r**4\/24 + 15*r**2. Let o(z) = -3*c(z) + 7*l(z). Determine o(w(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 2\/8533173 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 123724 + 808?\nAnswer: 124532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + b + 2, 4*b - b + 11 = -4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 245.2198 or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -74.98 and 0.1?\nAnswer: -7.498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12248.\nAnswer: 2, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 41888 times -4?\nAnswer: -167552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a**3 - 7 + 4 + 5*a**3 - 2*a**2. Let l be s(-4). Let d = l - -139. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1890 and 770?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 282111 and 54471?\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2212545 + -511?\nAnswer: -2213500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 135?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2\/7, 64, 4, 2\/11?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28\/(-154) - 2974\/(-22). Suppose 0 = 4*l - 2*q - 54, -3*l - 5*q = -4*l. Calculate the greatest common divisor of w and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 17*f - 176. Let r(c) be the second derivative of -f*c + 0*c**2 + 0 + 1\/6*c**3. Let p(z) = z. Calculate p(r(v)).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/5)\/(l\/l**12))**37 assuming l is positive.\nAnswer: l**(2109\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbz when three letters picked without replacement from {b: 2, z: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lacallcllaala. Give prob of picking 3 l.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -42177660 rounded to the nearest 1000000?\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -576164915*a**3*d*k**2 - 3*a**2*d + 9*a*d*k**2 - 231820*a*d - 5*a*k**2 + 2*a*k wrt a.\nAnswer: -3456989490*d*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151407.\nAnswer: 3, 16823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*i**3 + 2*i**2 - 2*i**2 - 43*i**3 + 343096*i - 343096*i.\nAnswer: -138*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(1\/5))\/(j**(2\/17)*j))**(2\/33) assuming j is positive.\nAnswer: j**(14\/2805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -5. Let b be ((-1)\/(-2))\/((-1)\/2). What is the smallest value in b, -0.5, r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 89 divided by 118198\nAnswer: 89\/118198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*r - 34*r - 11*r**2 + (0*r**2 - 5*r**2 + 3*r**2)*(-3 - 2 + 1) + r**2 + 5*r**2 - 4*r**2 to k*r**2 + q + l*r and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002086 rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 1681 = -1124. Does 33 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(363) + 1)**2.\nAnswer: -44*sqrt(3) + 367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2380901.\nAnswer: 17, 140053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -27167 - 2a?\nAnswer: -27193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15)\/(-6)*(3 + -7). Let f be 6\/(-15) - (-396)\/b. Let j = f - -77. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c + 15. Let m be b(11). Let k be (-298)\/(-8) - m\/16. Suppose k = 3*j + 4*v - 227, -j + v = -88. Is j a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 763 - 919. Calculate the remainder when 156 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of d**7\/840 - d**6\/120 - d**5\/40 - d**4\/8 - 2*d**3 + 1. Let u(y) be the third derivative of h(y). Determine u(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 8*r + 30. Let n be o(3). Let u(l) = -l**2 + 22*l - 52. Calculate the remainder when 211 is divided by u(n).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 426 - 424.6. Which is the nearest to d? (a) -3 (b) -3\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 3*l - l**2)*(-3*l - l + 6*l) + l**3 - 10*l**2 + 10*l**2 + 2 - 2*l**3 - 2 + 18*l**3 - 70*l**2 + 70*l**2.\nAnswer: 15*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -171 by 14.\nAnswer: -171\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78 - 77.99999967. Round y to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 3:33 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32203*g**2 + 105*g**3 + 32203*g**2.\nAnswer: 105*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyxyyxxx. Give prob of picking 2 x and 2 y.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4697169 is divided by 671020.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 976 divide 161850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/70 and -61\/62?\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 685 is divided by (7 - 6)\/(12\/1596).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -451, -739, -1317, -2179, -3319, -4731, -6409?\nAnswer: -8347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -284 + 288. Factor 10*i - 26*i**3 - 126*i**t + 132*i**4 - 12 - 12*i**2 + 19*i**2 + 15*i**2.\nAnswer: 2*(i - 3)*(i - 1)**2*(3*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**4 + b**3. Let o(f) = -98*f**4 + 353*f**3 - 225*f**2 - 160*f - 20. Let p(k) = 2*l(k) + o(k). Let p(a) = 0. What is a?\nAnswer: -1\/4, -1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**3 - 8*n**2 + 11*n - 1. Let b be p(5). Let s = -99 + b. Let g(t) = t**3 - 6*t**2 + 5*t + 7. Give g(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67\/5 + -479\/35. Let t = -302\/77 + 40\/11. What is the nearest to m in 0.4, t, 0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1111 and 202?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 292\/5 + -58. Let f(x) = -x + 7. Let g be f(0). Suppose 0 = -3*h + g + 8. Which is the nearest to 0? (a) h (b) r (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + 40. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 811*f - 8474 - 15161 = -4*f for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5130673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6 - 200\/3*c**2 - 40*c.\nAnswer: -2*(10*c + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10 + 5*h - 602*h**2 + 1208*h**2 - 601*h**2.\nAnswer: 5*(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 993765?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2747 + -2.\nAnswer: -2749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((o + 3*o - 2*o)*(-4 - 2 + 4) + 2*o + 3*o - 6*o + 0*o - o + 2*o)*(-4*o + 3*o + 0*o).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 75, -2, 527.\nAnswer: -4, -2, 75, 527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -35 (b) 0.5 (c) 0 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.081 - -15.381. Let n = -7.7 + k. Let z = n - 4. Round z to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 160 and 16.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 13*o**2 + 110*o + 161. Is 101 a factor of c(28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 4*o - 4. Suppose 4*l - 147 = 5*v + 13, 4*v - 2*l + 128 = 0. Let r = v - -29. What is q(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -262036096 divided by -119\nAnswer: 2201984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 81203603 to the power of 1\/4, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - -14) + 5 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/1 + (-5)\/1 + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + p - 20 = 0. Let k = 1 + -6. Let l(o) = -5*o**3 - 4*o**2 + 4. Let m(c) = -5*c**3 - 5*c**2 + 5. Give k*l(u) + p*m(u).\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from isais.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 u when two letters picked without replacement from {l: 5, u: 2, z: 9, y: 2}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13083 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 28 = -2*o. Let v = o - -31. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7477 is divided by 122?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -17862, -35724, -53586, -71448?\n\"Answer: -17862*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q**3 + 2*q**2 - 1. Let h be j(1). Let a be (-1 + (-1 - -4)\/3)*1. Let z(x) = 0 + 4*x - 5*x + 8 + a*x. Calculate z(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303*l - 3552021 - 2539087 = 101*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((4 - 1) + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lp when two letters picked without replacement from {n: 1, j: 1, p: 1, m: 1, s: 2, l: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 62. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 112901311.000122 + -112901163. Let p = f - 148. What is p rounded to 5 decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-57)\/(1\/(-1)))\/(-24*(-35)\/(-280)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3983747\/1464 + -2921\/976. Let c = -10865\/4 + z. Find the common denominator of 149\/84 and c.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from irwop. Give prob of sequence wo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a = 15*a + 366. Is a a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -58 + 172\/3. Let k = -16.627 - -13.627. What is the closest to c in -0.49, k, 1\/6, -0.2?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -52.95 - -53. Is -3\/7 at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2646572 and 45444?\nAnswer: 2164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 38 = 3*c. Calculate the highest common divisor of c and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -586, -1211, -1836, -2461?\nAnswer: -3086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*c + 40320 = -31*c. What is the thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 697 - 689. Suppose 1 = -4*g + 9. Calculate the greatest common divisor of i and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/20*70\/7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68913667 to the nearest integer?\nAnswer: 8301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 3. Let t = o - 1. Let z = -61\/6 - -10. What is the closest to 1 in z, t, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55059450231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 391\/(-34) + 27\/6 - (-31)\/1. Solve 4*b - l*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/125 - 141\/1000. Let c = -3\/7018 - -1279\/7018. Put -8, c, z, 0.2 in descending order.\nAnswer: 0.2, c, z, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2822322*v**3 + 0*v**2 - 129147853*v**3 + 0*v**2.\nAnswer: -131970175*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6202.\nAnswer: 2, 7, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -77 - -117. Let i(g) = -g**3 - 3*g**2 + 17*g - 53. Let d be i(-7). Calculate the highest common divisor of d and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28811 and 329.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4*x + 78, -x + 16 = -2*p + 6*p. Let y be 3 - 8\/(-1) - 3. Let o = y + 8. What is the smallest common multiple of x and o?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2278*m + 164 - 164 + 437*m - 9441*m.\nAnswer: -11282*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1637 - 1632. Solve -u - 4 = -8*i + 4*i, -5*i + m = -4*u for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28536 and 50375552?\nAnswer: 151126656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14.877 + -0.877. Let j = 3877.035 - 3891. Let s = j + i. What is s rounded to 3 decimal places?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4200 - 4217.932. Let k = -23 + 41. Let f = k + d. Round f to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 8. Let y be m(-6). Suppose y*q - 1 = q. Let n = 2\/419 + -864\/5447. Are q and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 277281 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -39 and 188.849257277.\nAnswer: 149.849257277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 4 - 21*u + 15*u + 8*u. Determine w(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 5*m**2 + 6*m + 6. Let x be w(6). Suppose 2*k = -k - x. What is the second smallest value in 2, k, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k. Let c(u) = -80*u**2. What is b(c(i))?\nAnswer: 80*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 + 2*f**2 + 0*f**2)*(-652 - 32*f**3 + 652).\nAnswer: 32*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 77667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*c**4 + 2984*c + 65 - 619*c**5 + 1268*c**5 - 2927*c wrt c.\nAnswer: 12980*c**3 + 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 + 12047364*n - 120473240.\nAnswer: -4*(n - 3011831)*(n - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2200100 (base 3) to base 4\nAnswer: -132201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11006310?\nAnswer: 2, 3, 5, 7, 17, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 309.6188 meters?\nAnswer: 30961.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25734915 - -25734914.79000001. Let m = 0.21 + y. Round m to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 7*b + 52. Let i(g) = -120*g - 885. Let f(k) = 2*i(k) + 35*p(k). Calculate the remainder when 99 is divided by f(0).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 994977 or 28854322\/29?\nAnswer: 994977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/90*-10)\/((-10)\/9).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 2*k**2 + 11*k + 4. Is 12 a factor of t(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -149*o**3*r - 3*o**3*w**3 + 2*o**2*r + 2*o**2 - o*r*w**3 + 35*r*w**3 wrt o?\nAnswer: -894*r - 18*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/5*15675\/5643\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1920 and 960.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/8 of a millennium?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 3*f + 9, 2*f + 4 = 4*h + 6*f. Suppose h*w = 7*w + 10. Let g(d) = -40*d - 3. Is g(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(539) - 2*sqrt(539)) + (sqrt(11) - (-3 + sqrt(176))) - (5 + 0 + sqrt(11) - sqrt(55)\/(sqrt(5)*1))*3.\nAnswer: -10*sqrt(11) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26306.06 milligrams in grams?\nAnswer: 26.30606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1379, -1400, -1465, -1598, -1823?\n\"Answer: -4*h**3 + 2*h**2 + h - 1378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b**2 - 71*b - 2312. Does 26 divide p(-28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -279 - 4*n + 279 - n.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 0*f + 5*z - 37, z - 1 = f. Suppose 0*m = 2*m - f. Let d(v) = -2*v**m - 4*v**2 + 5*v**2. What is d(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1189 - 1183. Solve -3*p - 3*u - t = 0, 3*u - 10 = -0*p + p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 624950?\nAnswer: 2, 5, 29, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 735 and 4861731.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a microgram in nanograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 214.4 + -208. Let w = j + -5.4. What is the nearest to 0.7 in 0.3, 0, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -16.7. Let m = 3 - 3. Which is the nearest to m? (a) -2 (b) -0.4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 76 = -344. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52 + -49. Suppose -2*g = 5*n - 61 + t, 4*n - 44 = -4*g. Solve -n = 4*b - 5*l, 3*l = 3*b + 5*l - 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-8))\/(228\/3952).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57708.\nAnswer: 2, 3, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 3*a**2 - a + 1. Let p be q(-3). Suppose 21*o + 54 = 138. Solve -p*f - o*y = -4, 0*f = 2*f - y + 10 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, -4, 57, 0, -3\/44, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -6808.914 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 24*t - 26. Let k be g(-25). Is 21 a factor of k + 7 + 2 + 251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1621 + 1619. Let z = -2.1 + 30.1. Let v = 28.11 - z. Which is the second smallest value? (a) 0 (b) g (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -5\/3, 17, -6, -3\/5, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 777 + -775. Let z(a) = 2*a - 56*a**2 + 61*a**l - 2*a. Let h(j) = -6*j**2. Calculate z(h(k)).\nAnswer: 180*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -164 + 165. Let s(t) = -9*t + 11. Let c be s(v). Solve -4*j + 6*j = -c for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*u + 2 = 2*p, -3*p - 33 = -3*u. Let g = -14 - p. Find the third derivative of -21*y**2 + g*y**5 + 15*y**2 + 0*y**5 - 18*y**6 wrt y.\nAnswer: -2160*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/64)\/(9\/6)*42*(-4580)\/28854?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 11011011010110000101 (base 2) to base 14\nAnswer: 1955c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**31*f*f)\/(f**(-18)*f) assuming f is positive.\nAnswer: f**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/11 and ((-576)\/(-198))\/(2\/3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2. Suppose 192 = -10*u + 192. Let f(r) be the third derivative of -1\/12*r**4 + u + 0*r**3 + 0*r + 7*r**2. What is a(f(y))?\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 47?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -304 and 0.06.\nAnswer: -18.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 + 24. Put u, 3, 0.1 in decreasing order.\nAnswer: 3, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46135133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479 is divided by 26?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-224)\/(-280) - 28\/10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-8 + 1 - -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19*(-42)\/17955*1?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 2*c**2 + 4*c + 33. List the prime factors of m(8).\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 257811?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o**2 + 21*o - 129. Let b be c(-15). Which is bigger: b or 679?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -178, -700, -1576, -2812, -4414, -6388, -8740, -11476?\nAnswer: -14602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*k + 11. Solve k*v + 0*v = -5*t - 6, 5*t + 10 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -10. Let a = -349\/9 - -39. Is a not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -656, -1303, -1950, -2597?\n\"Answer: -647*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 126797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -30, -50, -70, -90?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/8*((-192)\/36)\/(50\/(-1125)*15).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-450)\/(-135)*(-6)\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.72 (b) 8517 (c) -1\/89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -6023?\nAnswer: 2\/6023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-17764)\/(-12) + 8\/(-6). Suppose -258 = 11*l - s. What is l rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 6:33 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 32 times 0.04\nAnswer: 1.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 5*o + 134 = 0, 0 = -2*o + 5*o - 6. Let q = j + 182\/5. Factor -1\/5*n**4 - 4\/5*n + q*n**3 + 3\/5*n**2 - 4\/5.\nAnswer: -(n - 2)**2*(n + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 1208?\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1746\/11 or -159?\nAnswer: -1746\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 2*h**2 + 7*h. Let t be k(-5). Suppose -f - 4*f = -t. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*f*v**4*w + 207*f*v**3*w + 2*f*v*w + 2*f*w + 158*v**2 + 9*v*w wrt v.\nAnswer: 432*f*v*w + 1242*f*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -5*y - 16. Solve y*q = 11*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**2 - 5845*j + 3. Let c(f) = -25*f. Determine q(c(w)).\nAnswer: -1250*w**2 + 146125*w + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12636?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -9*m**3 - 108*m**2 - 4*m - 11. Let v(y) = -6*y**3 - 108*y**2 - 4*y - 8. Calculate -4*v(s) + 3*z(s).\nAnswer: -3*s**3 + 108*s**2 + 4*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/8781 - -535651\/87810. Calculate the common denominator of (-1 - 2) + 11\/(-3) + 0 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 3)*(0*g**5 + 3*g**5 - 4*g**5) - g**2 + 2*g**5 - 1 + 7*g**3 - 15*g**3 + 5*g**3.\nAnswer: g**5 - 3*g**3 - g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -56*q**3 + 10*q**2 - 23*q - 3. Let n be p(2). Are n and -456 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 24*a + 170. Let k be t(-7). Solve -3*v - 5 = -k*u, -16 = -5*u + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 6*n**2 + n + 1. Let h be r(-1). Is 549\/12 + h\/24 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g + 48*g - 315 = -12*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence en when two letters picked without replacement from {s: 2, e: 4, q: 1, t: 1, n: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 37.4 and 5.\nAnswer: 42.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*x - 2*x + 45 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 885822769 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103002330133 (base 4) to base 11.\nAnswer: 2900189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63909537?\nAnswer: 3, 733, 29063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -86*k**2 + 351*k - 13. Give m(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 23*b**2 + 367*b + 13. Give i(-34).\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24258, 8, -1 in ascending order.\nAnswer: -24258, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s\/((s*s*(s**(-1\/7)\/s)\/s)\/s)*s)\/s))**(-20\/3) assuming s is positive.\nAnswer: s**(160\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(6 - ((4 - 3) + 4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/(-4) - -11)*1\/3. Let s(t) be the first derivative of 5\/6*t**o - 3*t**2 + 2*t - 1. Factor s(m).\nAnswer: (m - 2)*(5*m - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0 + 12 = 0. What are the prime factors of 2\/l + 34\/3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1608 - 799 - 810 + 14*n**3 - n**4 + 38*n**3 + 2*n + 13*n**2 - 9*n**3 to the form x*n**4 + u*n + r*n**2 + c + v*n**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -s**2\/2 + 21*s + 19. Let c be j(9). Suppose 5*r - c = 2*r. Solve -4*q = -r*n - 10 - 10, -3*q + 4*n + 19 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3 + sqrt(44)\/(sqrt(16)\/sqrt(4)))*5 - (-1 + sqrt(1331) + sqrt(44)\/sqrt(36)))*1*-2)**2.\nAnswer: 2128*sqrt(11)\/3 + 22940\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**2. Suppose 9 - 49 = -4*f. Suppose -5*d + 15 = -f. Let s(v) = v**2 + d*v**2 - 7*v**2. Give s(i(k)).\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -80, -175, -308, -479, -688, -935?\nAnswer: -1220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 963522089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h - 25598 - 4757 - 4*h.\nAnswer: -2*h - 30355","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - -7)\/(1\/(10\/20)). Suppose -w - 6 + 5 = 0, -35215 = -a*u + 3*w. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 n when two letters picked without replacement from {n: 3, e: 1, w: 1, r: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -5. Let i = 180 + -707\/4. Which is bigger: i or w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k - 1. Let f be w(1). Suppose -5 = -r - 3. Factor -f*j**2 - r*j + 0*j**2 + 4*j**2.\nAnswer: 2*j*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 210935.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2522 = -166*t - 444 + 412 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 1939*u**2 + 9*u - 9. Let l(g) = -1939*g**2 - 8*g + 8. Give 9*l(k) + 8*x(k).\nAnswer: -1939*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 3*a**4\/8 - 2*a**2. Let g(h) be the third derivative of 0*h**3 + 0*h + 0 - 1\/12*h**4 - 2*h**2. Calculate r(g(f)).\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 6 = -4. Let s = v - -10. Let n(o) = 10 - 6 - 3 - o**2 + s. Determine n(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10 - -3)\/(-1) - -4. Suppose 4*c + 3*a - 32 = 0, c = 2*c - a - 15. What is the greatest common divisor of l and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 48, 68, 90, 114?\n\"Answer: y**2 + 17*y + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**3 + 2*k**2 - 2. What is m(-2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 w when two letters picked without replacement from wmjbwjvjjjbvwxv.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 544.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112055058 and 306.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 9*o**2 - 14*o - 4. What is a(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 4 = -73. What is the remainder when 18 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 10*o + 4 = 6*o, g + 2*o = 0. Let i = -0.4 + 0.9. Which is the third biggest value? (a) g (b) -5\/3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5449836, -5449841, -5449846?\nAnswer: -5449851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -176135, -5, -131 in decreasing order.\nAnswer: 2, -5, -131, -176135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 367*y**2 - 5*y - 137*y**2 + 5*y.\nAnswer: 230*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 + -610. Let y = -503 - n. Calculate the greatest common divisor of y and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*b + 3*f - 28, 4*f = b - 25. Let v = -5 + b. Solve v*n + n + 10 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, -4, -2, 1 in descending order.\nAnswer: 1, -2, -4, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*w. Suppose w = -3*u + 17 - 2. Is 5 less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 0) + -3 - -3. Let c be (u\/(-3) - 0)*-3. Let a(n) = 0*n**2 + 3 - 3*n**c + 6*n - n**2. Let z(m) = 3*m**2 - 5*m - 2. What is -4*a(v) - 5*z(v)?\nAnswer: v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**5 + 342*f**4 + 5*f**3 + 4*f**2 - f - 612 wrt f?\nAnswer: -60*f**2 + 8208*f + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/714 and -71\/35.\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 150*k + 416. Give v(-3).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 4*s - 56242, 2*t - 37484 = 154*s - 158*s. Calculate the greatest common divisor of 166 and t.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 - 10. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*o**2*u**3 + 3*o**2*u + 5*o**2 - 2*o - 10*u**3 + 2 wrt o?\nAnswer: 6*u**3 + 6*u + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-868)\/496 + 13 + 44\/(-16)?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 15 = -5*q, 5*s = -5*q + 7 + 8. Suppose 69 + 9 = q*n. What is the remainder when 51 is divided by n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/(-15) + (-172)\/(-220). Let d = -91\/4 + 23. Which is the closest to -1\/2? (a) -2\/13 (b) d (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2394 - -3211. What is the highest common divisor of 133 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8225, -1\/6, -0.05.\nAnswer: -1\/6, -0.05, 8225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-6)*(1 - 4). Let h be 88\/40 + w\/(-5). Solve h*x + 6 = -0*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19.3828 + 3.8528. Which is smaller: u or 1\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 81421\/12 + -6789. Calculate the common denominator of (1 - -2)*(7 - (9996\/792 - 7)) and j.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x. Let v = 6 - 3. Let h be f(v). Suppose -h*i + 121 - 10 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2343 by -781.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -350.4 in -4, 2\/15, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 15\/8010766?\nAnswer: 15\/8010766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 995495 to the power of 1\/3, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = 2*v - 6*v + 3*g, 105 = 3*v - 3*g. What is the remainder when -1*(3 - 0) - v\/(-1) is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*11467\nAnswer: -57335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*4\/(-8) + -2. Let g = 6 + b. Solve g*t - 15 = -0*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -782153 * 99.\nAnswer: -77433147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-842)\/1)\/(-2) + 1. Let i = -165 + u. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 680, 1266, 1868, 2492, 3144, 3830?\n\"Answer: o**3 + 2*o**2 + 573*o + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/17)\/o**(-5))\/((o\/(o\/(o\/(o\/(o\/(o*o\/(o\/o**(-7)*o)))))))\/(o\/(o\/(o\/(o*o**(2\/9)\/o))))) assuming o is positive.\nAnswer: o**(-358\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -353*f + 5654. What is v(16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w + 7. Let g(p) = 4*p - 8. Let d(y) = 3*g(y) + 2*o(y). Calculate d(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 738 a factor of 48041228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3646782 millennia to years.\nAnswer: 364.6782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1520 and 608.\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 409 is divided by 56.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -481.3077 to 1 decimal place.\nAnswer: -481.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c - c - 2*c)*(1 + 1 + 0) + 0 + 0 - 3*c as j + h*c and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*w**2 - 5*w**2 - 9*w**2 - 29*w**2.\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in -2, -0.3, 0.162?\nAnswer: 0.162","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/126 and -31\/252?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**5 + 6248*g**4\/7 - 8000*g**3\/7 - 4468*g**2\/7 + 8014*g\/7 - 1780\/7 = 0. What is g?\nAnswer: -1, 2\/7, 1, 445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -5704800 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/5*z**4 - 2*z**2 + 0*z + 0 + 8\/5*z**3 = 0 for z.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*c + 88. Suppose 0*i - 2*i = -c. Calculate the highest common divisor of 42 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 1 + 11 + 4 + -3 + -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*n - 6. Let b be 54\/4 - n\/2. Let z = b - 4. Solve 3*x + 0*x = v - 9, -3*x + 3*v - z = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 15) in base 2?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/63927 and 11\/3?\nAnswer: 63927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((117\/(-26))\/(-3))\/(((-115)\/(-170))\/23)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1888 and -1881?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17.8 - 412.2. Let k = r - -456.9. Let m = k + -2.9. Which is greater: 0.1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 109*f**4 + 11*f**2 - 107*f**4 - 145*f - 10*f**2 to the form x + a*f**2 + m*f + h*f**4 + o*f**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 220 and 1.\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*g + 9 = 20*g + 2*k, -2*k = -12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (9 - 5) + (24 - -10).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -527160876 by 1143516.\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29 and 218.\nAnswer: 6322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.08000049 + 1.08. What is z rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -10\/1307?\nAnswer: -10\/1307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 319*t + 22 - 4 - 7 - 13 + 2787*t in the form f*t + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 39458808762 take away -0.41?\nAnswer: 39458808762.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x**2 + 2*x + 5. Let f(t) = -2*t**2 + 2*t + 4. Give -5*c(y) + 6*f(y).\nAnswer: 3*y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y + 24 + 19*y**2 + 14*y**2 - 116*y**2 + 13*y**2.\nAnswer: -70*y**2 + 2*y + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + 1 + -1 - (0 + 1 + sqrt(468)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 w when two letters picked without replacement from {p: 1, r: 2, w: 1, l: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -349 - -498. Suppose -7*y + 145 + m = 0. List the prime factors of y.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010238851 rounded to four dps?\nAnswer: 0.0102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 0 (c) -0.25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9310564453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**5\/5 - 21544622*f**4\/5 + 11604253346828*f**3 + 406149599656412*f**2\/5 + 870321069296706*f\/5 + 522192757919058\/5 = 0. Calculate f.\nAnswer: -3, -1, 5386159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 11. Suppose -p - 3*h + h = -v, -2*p - 2*h = -4. Suppose p*a = 4*q - 26, 2*a - 3 = -3*q - 2*a. Solve 4*k - q = g, -3*g + 4*k + 0*k = 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15\/10 - -2) + (-3)\/2. Solve 3*k + 2*k = a*m + 1, 0 = -2*m + 4*k for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -880 divided by -232?\nAnswer: 110\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 127664 (base 13) to base 16\nAnswer: 6c9da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -33*s - 57. Let x be c(-3). What is the greatest common divisor of x and 546?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3047727, -3047647, -3047499, -3047271, -3046951, -3046527?\nAnswer: -3045987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1178 - 23531\/20. Find the common denominator of 31\/10 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*d = 6*d + 846*d + 1291 + 1361 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1213 and -0.082128.\nAnswer: -99.621264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, u: 2}. What is prob of picking 1 u and 1 o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -108 - -107. Let d(x) be the second derivative of -2*x**5\/5 + x**3\/6 + x**2\/2 - x. Let h be d(p). What is the greatest common factor of 88 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of j**6\/6 + 7*j**4 + 127*j**3\/3 - 100. Find the third derivative of x(m) wrt m.\nAnswer: 60*m**2 + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -363 - -821. Let h be (u\/6)\/(-1*2\/6). Let o = h - -357. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 52 and -88.\nAnswer: -4576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 15. Let t be ((-1)\/2)\/((-1)\/(-12)). Calculate the remainder when (4\/t)\/((-2)\/93) is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70\/(-28) - 95\/(-14)) + -4.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 5*j + 825, 2*v = -j + 3*j + 322. What are the prime factors of v?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 32 + 28 = 0. Let s be 60\/(-28) + f\/(-28)*1. Let c(t) = 1 - 7*t**3 + 5*t - 1. Let h(m) = 3*m**3 - 2*m. Calculate s*c(i) - 5*h(i).\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 69.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(-3) - (-320)\/96. Which is the second biggest value? (a) 5 (b) 7 (c) -1 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 - 26 - -19 - 57?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 22 = -7. Let f(t) be the second derivative of -5\/2*t**2 + 3*t + 1\/2*t**a + 0. Determine f(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0*n = 5, 5*n - 25 = -5*t. Suppose 3*j - 2 - 4 = t. Suppose -2 = -j*m - 6. Put -1, 0, m in descending order.\nAnswer: 0, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*q**2 - 37*q**2 + 91*q**2 - 2*q**3 - 59*q - 23*q**2 in the form p + h*q**3 + g*q + v*q**2 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 1453*p**4\/2 + 3540*p - 2486. Differentiate r(f) wrt f.\nAnswer: 8718*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.14215050911 to 6 decimal places.\nAnswer: 0.142151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -13 + (17 - -22).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41787\/4 + -1838609\/176. Find the common denominator of 63\/946 and f.\nAnswer: 7568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 15 = -3. Is (-1)\/(-3) - 1424\/g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -65749 + 260?\nAnswer: -65499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1083 + 1082. What is the closest to h in 0, 76, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1)*(-19 - (-840)\/48).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 3*a**6\/2 - 12*a**5\/5 - 4*a**2 + 4*a + 106. Find the second derivative of l(z) wrt z.\nAnswer: 180*z**3 - 144*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1515)\/(-202)*8\/(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 12 - 12*h + 6 + 1 - 3 + h**2. Let r be d(11). What is the derivative of r*f - 2*f - 2 - 5 - f wrt f?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 17*c + 2. Let u be 1\/((-760)\/110 - -7). Let h(d) = -9*d - 1. Suppose 5*p - 26 = 2*i - 3*i, -3*i = -2*p + 24. Calculate p*a(n) + u*h(n).\nAnswer: 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -199*f - 13465466*f**2 + f**3 + f**3 + 13465470*f**2 in the form b*f**3 + r*f**2 + g + o*f and give o.\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 580*n**6 + 5*n**4 + n**3 + 262*n**2 + 97.\nAnswer: 69600*n**3 + 120*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + m + 60. What are the prime factors of f(0)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1292 and 10336.\nAnswer: 10336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 6*w + 12, 5*w - 3 = -4*r. Let t(u) = u**3 - 7*u**2 + 6*u + 2. Let n be t(6). Suppose -5*i + 8 = -4*z, 4*i + 0*z + z = -n. Sort r, i, -19.\nAnswer: -19, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*u - 8*u**2 - 457 + 457 to f*u + y*u**2 + w and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 8*z**2 - 3*z - 7. Let p(c) = c - 4. Let n be p(5). What is the remainder when 2 + 36 - (-2)\/n is divided by y(7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/(v*v\/(v\/(v\/v**1)))))**(-3\/28)*(v**(2\/5)\/v)\/v**(-2)*(v**(-4)*v)\/(v*(v**6*v)\/v*v)*v\/v**(1\/5)*v\/(v*v*v\/(v\/v**(-1))) assuming v is positive.\nAnswer: v**(-44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -45*k**3 - 7*k**2 + 14*k + 62. What is w(3)?\nAnswer: -1174","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Solve -6644*h + 6036*h + 6080 = 0 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 15. Solve 19 = -y*k + 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204*j**3 + 206*j**3 - 603*j**3 + 198*j**3.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((0\/2)\/(-1))\/2. Suppose 7*l - 4*l = n. Is -0.1 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 9, 0 = 5*v - 0*o + 2*o - 126. Let a be (-9 - -1)*v\/(-360). Factor a - 2\/5*c - 2\/15*c**2.\nAnswer: -2*(c - 1)*(c + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 433\nAnswer: 866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2039 = -21*l - 1892 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/144 and 41\/2579940.\nAnswer: 10319760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.5294063 rounded to 1 dp?\nAnswer: 12.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 643 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 7*b + 7. Let p be z(-5). Let f(c) = c**2 + 6*c - 15. Let m be f(-8). Put p, m, 0 in increasing order.\nAnswer: p, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-11))\/((-290)\/3190)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114749607.\nAnswer: 3, 7, 19, 29, 47, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 335899836 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i = -432 - 0. What is the hundreds digit of 18\/(-4)*2032\/i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 7) to base 3.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -15*6*(-6)\/3213. Let t = g + 2\/17. Let v = 5 + -5.1. What is the closest to v in t, 0.3, 3\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/15 + 0)*-9. Let g(p) = p**2 + 6*p - 5. Let w be g(-6). Let f = v - w. Solve -3*m - m - o = 11, -2*o = f*m - 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from ckiackckkckkakkkaci?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10803280 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 f when four letters picked without replacement from {f: 4, b: 14}?\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -828892 from 10.931241.\nAnswer: 828902.931241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -149.\nAnswer: 7\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 + 709. Let x(z) = 29*z. What is x(k(j))?\nAnswer: 58*j**2 + 20561","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4\/11, -7360, 2\/3, 1\/5 in descending order.\nAnswer: 2\/3, 4\/11, 1\/5, -2, -7360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 16 + 0 - (-5 + 8 - -30)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12989 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -15. Let s(p) = -2*p - 10*p**2 + 5 - u + 9*p**2. Suppose -5*v + 2 = -4*z, 2*z - 2*v = -0*z - 2. Calculate s(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53244757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -34.6192.\nAnswer: -35.6192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 39, 32, 21, 6, -13?\n\"Answer: -2*t**2 - t + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14b6 + -2b19?\nAnswer: -40d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + s = 4*s + 546, 3*l + 551 = -2*s. Is 5 + -4 - 3 - l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a + 8, 4*a = 3*u - 5*u - 10 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*w - 40 = 38*w. Is 7 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -154 + 110. Let u = -508 - h. Let f = 721 + u. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + m = 14, y - 2*m + 0 + 7 = 0. Solve -5*u = -2*f + 15, y*u = -f + 8*u + 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*u = 6*j - 1623, 0 = 5*j + 4*u - 2750. Let z be ((-3)\/2)\/((j\/112)\/13). Which is the nearest to 2\/3? (a) 0.1 (b) -2\/11 (c) 8 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -866\/195 - -56\/13. Let q = 7.8 + -12.8. What is the third biggest value in -4\/7, s, 0.5, q?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2. Let o(x) = 1551765783*x. Determine s(o(m)).\nAnswer: -2407977045289603089*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2200 - 200021?\nAnswer: -202221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3a58279 + 4?\nAnswer: -3a58275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k + 2. Suppose 4*b + u + 12 = 0, 0*b + 3*b = -2*u - 4. Let h(q) = 2*q + 2. Suppose 3*o = 2*s - 1, -6 = -0*o + 3*o - 3*s. What is b*h(x) + o*a(x)?\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 4) to base 5.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h\/(h\/((h**(2\/5)*h)\/h))*h*h))\/h*h)**(-2\/125)\/((h**0\/h*h)\/h**3) assuming h is positive.\nAnswer: h**(1899\/625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -65*o + 3. Let z(s) = -194*s + 11. What is 10*d(i) - 3*z(i)?\nAnswer: -68*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 54009 or 820?\nAnswer: 54009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 75*w**2. Let g(j) = 2*j**2 - 19. Give l(g(a)).\nAnswer: 300*a**4 - 5700*a**2 + 27075","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -171865a - -6?\nAnswer: -1718654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2224 less than 10?\nAnswer: -2214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 6*v + 10. Let w be b(-7). Suppose w*c + 4*s - 30 = 0, -4*c + 3*c = 4*s - 18. What are the prime factors of (c\/4)\/(12\/104)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 11) in base 6?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16803881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9610 + 4636 + 4974 + 538*m.\nAnswer: 538*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -6, -k + 4*k = -c + 222. Suppose -139 = -4*h + 3*r, 4*h = 6*h - 5*r - k. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of h**4\/12 - 4*h**3\/3 - 9*h**2 + 7*h. Let q be j(10). Factor -9\/2*g**q - 2 + 6*g.\nAnswer: -(3*g - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 196 + -154. Let z be -2 - -8 - (h + -39). Let r(x) be the third derivative of x**5\/60 + x**4\/24 - x**3\/2 - x**2. Calculate r(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g - 18. Let b(t) = 2*t - 17. Let w(r) = -4*b(r) + 3*h(r). Let i(n) be the third derivative of -n**3\/3 - n**2. Determine -14*i(f) - 2*w(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-48 - (220 + -234 + -3 + 0 + 17)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 2*t - 3*i, 0 = 14*t - 11*t + 5*i + 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/12*-1)\/((-2)\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and (-1)\/(-12)*6 - (-15)\/10.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) -13 (c) 4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34752 to the power of 1\/2, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*c + 98*c + 14116 + 3686 = 0. What is the highest common divisor of 368 and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**3 + 5*z**3 - 3*z**3 + (z**2 + 0*z + 0*z)*(5*z - z - 3*z) + 3*z**3 + 13*z**3 - 6*z**3 - 2*z**3 + z**3 + 0*z**3 + 2*z**3 - 3*z**3 + 3*z**3.\nAnswer: 14*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 6*u - u - 4, 4*c - u = 11*c + 173 for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3 = 37. Let v = r - 5. What is the first derivative of 3 + v - o**4 - o**4 - 1 wrt o?\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-45)\/(-30))\/((-2)\/(-24)). Solve -8 + 2 = -3*s + 3*l, -s = 4*l + m for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in -3\/5, -2, -24, 5, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(2 - (-48)\/(-26)). Let p(d) = -d**3 - 5*d**2 + 1 - 13*d + 4*d**2 - 13*d**2. Let n be p(r). Are 7\/4 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25015 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 is the closest to -6\/7 in -4, 0.47, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121011110 - 20211?\nAnswer: -121102021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, v: 13}. What is prob of picking 1 z and 3 v?\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(612) - (sqrt(612) + 1 + sqrt(612)))*3 - 2*sqrt(612)*6)**2 + -4)*-2.\nAnswer: -275410 - 1080*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -584*m**3 + 3*m + 2. Let y(r) = 1169*r**3 - 7*r - 4. Give 7*l(q) + 3*y(q).\nAnswer: -581*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/5 + 124*p**2\/5 + 777*p + 36162\/5.\nAnswer: (p + 21)**2*(p + 82)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 - -22. Let b be (f\/(-1) - -1) + -3. Differentiate -2*w**3 - b + 0*w**3 + 9 wrt w.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*u - 5*n, -5*u - 4*n + 20 = -n. Suppose 0 = 2*a - u*z - 130, -2*a + 73 = z - 32. Calculate the highest common divisor of 5 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 5*y**2 - 235*y = 0?\nAnswer: 0, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 10700.\nAnswer: 256800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20)\/(-12) - -7*(-16)\/168. Solve -i = 5*p + 4*f + 2, -3*p = -3*f - 9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1474 + -662. Suppose -9*h + 2*h + g = 0. What is the second derivative of -116 - 13*l**5 + 21*l + h wrt l?\nAnswer: -260*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3c (base 15) to base 4.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4895878796 rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 41 (b) -1\/2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 + 8 - -21) + -1 + (-2 - 79 - -4).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*n - 22 = 4*c + 15*n, -3*c = n + 14 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -33*c**2 + 4368*c + 2590. Calculate l(133).\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*d + 77*d = 142046. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v**2 - 3*v - 55. Let y be 12\/(-60) + 32\/10. Let j(x) = 7*x**2 - 5*x - 108. Let f(w) = y*j(w) - 5*n(w). Differentiate f(a) wrt a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -1421655.\nAnswer: 2843310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1431371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12ab9 (base 15) to base 12.\nAnswer: -2a733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 8:48 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 2008411.\nAnswer: -2008411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 5*q**2 + 5*q - 4. Let u be l(5). Let i = u + -5. Does 8 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 divided by 38?\nAnswer: -32\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 200843551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17961781*b**5 - 2*b**2 + 5178029*b?\nAnswer: -1077706860*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12.7 - -13. Which is the smallest value? (a) -1 (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**4\/3 + 340*q**3 + 2048*q**2 + 12304*q\/3 + 2736 = 0.\nAnswer: -2, 1026","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1345755?\nAnswer: 3, 5, 73, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -12. Let x(p) = -p**3 - 3*p - 3 - 2*p + 16*p**2 - 9*p**2. Let z be x(b). Solve -z*u + 8 = -u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1040\/(-32)*46\/1. Let d = r - -2684. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 421 (b) 0 (c) 0.072 (d) -3\/7 (e) -5\/4 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 26*t = 21*t + 24, 3*t = -2*z + 16. Solve z*d - 12 - 4 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 - 1)*(-3 - 9 + 2) - 5 + 1 + 1)*(18*t**2 + 9 - 9).\nAnswer: 306*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 505330 is divided by 36086.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 5:48 AM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 v when three letters picked without replacement from ggmggeggmvgmgmw?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31442709617*o - 3*o**3 - 31442709595*o + 0*o**3 - 3*o**3.\nAnswer: -6*o**3 + 22*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28731.344 + 807.\nAnswer: 29538.344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s. Let g be ((-15)\/2)\/((-30)\/80). Let q = -19 + g. Let l(y) = -q + 1 - 6*y**2 + 13*y**2. Give l(t(h)).\nAnswer: 28*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 0*g + 0*g)*(3*g - 3*g - 4*g) - g**2 + 4*g**2 - 4*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ds when two letters picked without replacement from {s: 10, d: 10}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28165*r - 85692*r + 29371*r + 28159*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -137 - -141. Solve y - 2 = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4393 + -4507. Let k = 175 - 290. Let u = g - k. Is -3\/22 at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -70 + 49. Let h be f\/1*1\/(-1). Calculate the highest common divisor of 147 and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 9:58 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 1, 36452 in decreasing order.\nAnswer: 36452, 1, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 161583876 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*v = 4, k + 4*v + 3 + 3 = 0. Let g(l) = l**3 - 4*l**2 + 3*l. Determine g(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14 + 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3 - 9 = 0, 2*q + 5*l + 7 = 0. What is the nearest to 14 in q, -0.4, 0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 y when two letters picked without replacement from {g: 5, k: 1, l: 6, y: 2, c: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 307.5 - 307. What is the second smallest value in n, 3, 0, -1.008?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(45 + (-63550)\/1400)?\nAnswer: 28\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*p**3 - 69*p**2 + 42*p.\nAnswer: 3*p*(p - 1)*(9*p - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -8, 0.129, 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18755 - 18754 + 98*k + 212*k)*(-1 - 2*k**3 + 1) to i + x*k + y*k**2 + a*k**4 + c*k**3 and give a.\nAnswer: -620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 6 - 26 = 0. Solve 3*r = -r - u for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10, 220, 838, 2068, 4114?\n\"Answer: 34*k**3 - 28*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19677 = -340*t + 10157 for t.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 49 + 6. Let t be ((-6)\/9)\/((-2)\/27). Let v = 13 - t. Calculate the remainder when y is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 252538074 divided by 1.\nAnswer: 252538074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 1\/2*b**2 + 29 + 1\/4*b**4 + 110*b + 2\/3*b**3. Is 22 a factor of p(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -83*r + 166*r - 81*r - 73 + (2*r - 3*r + 2*r)*(-2 - 1 + 4).\nAnswer: 3*r - 73","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77 - -38. Let w = j + 75. Let o(z) = z**2 - z + 4. Let u be o(0). Calculate the greatest common divisor of u and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 18*o**2 + 16*o - 120. Let h be x(18). Calculate the highest common divisor of h and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12788, 25579, 38368, 51155, 63940, 76723, 89504?\nAnswer: 102283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/13 and 13\/4644041?\nAnswer: 60372533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36 (base 16) to base 10.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*a = 24, 2*a + 4 = -0*a. Let h be (5 + -3)*178\/y. Suppose 5*o - 131 = h. What is the highest common divisor of 22 and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -67 <= -62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2759366, 2759368, 2759370, 2759372, 2759374?\nAnswer: 2759376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45167*b**3 + 18468*b**2?\nAnswer: 271002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 676116909 and 351.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y - y**2 - 23*y + 15*y + 4*y.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -6*l. Let m(x) = 1010968*x - 1. Calculate m(y(k)).\nAnswer: -6065808*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -13*m + 3. Let w be j(-3). Suppose 6*h - w = 5*h. Suppose 4*k - 2*n = h, -65 + 12 = -5*k + 2*n. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3010?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + 56*i - 4700450. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -456722*q + 1689004*q + 373005*q.\nAnswer: 1605287*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3664 = -10*g + 1256. Suppose 2*i = -4*i + g. Is 2 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, v: 1, w: 3, x: 7, d: 2}. What is prob of picking 1 w and 1 x?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7624 + -7624. Is d at most as big as -6.873?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -32 + (-12)\/(-4) + -7. Let m be (-10)\/(-1 + w\/(-32)). Let l be 4\/5 - (-96)\/m. What is the third biggest value in 2\/11, 1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10851*f**3 - 94*f**2 + 102*f.\nAnswer: 65106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 310259.2300612 + -310259. Let w = s + -0.21506071. Let n = -0.015 + w. What is n rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -108*v + 22496. What is m(208)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 342 = -46*q + 250. Suppose -1 = 2*n - 7. What is the common denominator of (5 - n)\/((-76)\/(-26) + q) and 81\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -60*m**4 - 1236*m**3 + 1809*m**2 - 852*m + 132 = 0.\nAnswer: -22, 2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 12*d + 3*r = -5622, -3*d + 8420 = 2*r. List the prime factors of d.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -92 - 87 + 4*u**3 + 15*u**2 + 12*u + 175 = 0.\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/202598 and -99\/589376.\nAnswer: 6483136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnmmsmssmmsmsnmm. What is prob of sequence ms?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b8588 (base 14) to base 3.\nAnswer: -211122021202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.64 take away 120480.3?\nAnswer: -120514.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + 673\nAnswer: 673.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4 + -1*sqrt(19)*5 - (3*-6*sqrt(152)\/sqrt(8))**2).\nAnswer: -6149 - 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -d**5\/5 - 41*d**4\/24 + 19*d**3\/6 - 5*d**2. Let o(q) be the first derivative of w(q). Differentiate o(i) wrt i.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n + 52. Let a be r(20). Let s be ((-152)\/a)\/((-3)\/12). What is the third derivative of -4*x**5 - 3*x**5 - s*x**5 - 32*x**2 wrt x?\nAnswer: -1560*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5710284219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (33\/330)\/(368\/24*33\/88 - 4)\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7, 4 in increasing order.\nAnswer: -7, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r - 5. Let h(v) = 2*v + 5. Suppose 69 - 128 = c - 63. Determine c*h(w) + 5*j(w).\nAnswer: -2*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*i = -41, 4*i = 2*j - 0*i - 72. Suppose -7 + 3 = -2*z. Let r be j\/z + (-4)\/4. Is 12 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**3 + 17*v**2 + 9*v - 2. Let k be o(9). Let b(p) = -9*p**2 - 5*p - 4. Let y be b(k). Find the common denominator of -55\/8 and (-7)\/(-21) - 317\/y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 21 + 13 + -18 + -57.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/(5 + -3))\/(-3). Let r = -9 - -12. Let q be r\/2 - 2\/(-4). Solve 3*y - 5*p + 25 + 6 = 0, -q*y + 2*p - 14 = l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -402.3 - -423. Let h = 20.7364 - u. Round h to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -676 + 1?\nAnswer: -675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5147*i**2 - 5155*i**2 + 1738*i**3 + 10303*i**2 to b + u*i**3 + k*i**2 + r*i and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*h - 2 = 0, 10 + 4 = 5*n - h. Solve -3*f = n*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - 1. Suppose 0 = 4*y - 1 - 3. Suppose 0*v + 3*v = 12. Put f, y, v in descending order.\nAnswer: v, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 75, 172, 283, 414, 571, 760, 987, 1258?\n\"Answer: o**3 + o**2 + 87*o - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 294649 * 0.03.\nAnswer: 8839.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122, 246, 370, 494, 618?\nAnswer: 742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -z - 2, 5*l = 10*z - 7*z + 1. Let v(n) = n + 1. Let u(r) = 6*r + 5 + 0*r + 3. Give z*v(h) - u(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -81.29313 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1323 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3760 - -10732. Suppose -q = 8*j - 22*j. List the prime factors of j.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -2\/155, -4, 0.05, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.1519 + -2.2519. Let l = 30 + -121\/4. What is the third smallest value in l, b, -21?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-49)*((-5355)\/34)\/45*-118\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 19 = 4*k, 0 = -0*z - 3*z - k - 13 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187 = 4*c + 111. Suppose -5*f = -60 - 35. Let b = f - c. Solve -m = -b + 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102, 50, -30, -132, -250, -378, -510, -640?\nAnswer: -762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 1. Let f(z) be the second derivative of 5*z**4\/12 + 3*z**2\/2 - 21*z. Calculate f(s) - 3*y(s).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u - 23*u - 56 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 139 and 162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 57, 108, 149, 174, 177?\n\"Answer: -f**3 + f**2 + 55*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 9. Suppose -2*r = -h - 60, 5*h + 114 = -0*r + d*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2808 - -2837. Calculate the remainder when 309 is divided by j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1)\/((72\/(-9))\/72).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 6) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15823476 + 15823386.76859. Let p = -86.53141082 - m. Let i = 2.7 - p. Round i to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03 - -2.97. Let s be (-2 - 0)*(-13)\/182. What is the third biggest value in 2, s, h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 43. Let b(z) = -z**3 + z - 40. Give 6*b(k) + 5*s(k).\nAnswer: -6*k**3 + k - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25118, 25022, 24908, 24770, 24602, 24398?\nAnswer: 24152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 503101486 a multiple of 581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oobo. Give prob of sequence ob.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.59*314.3.\nAnswer: 185.437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from ettet.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2781 and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (2 - -1) - (1 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + (-1 - 4) - 4) + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 4 + 29. Let y = 5 + -9. Which is the third biggest value? (a) u (b) -1\/5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5428183037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 67*i + 910. Let z be u(48). Suppose 2*x + 3 = 3*x. Put 27, z, x in decreasing order.\nAnswer: 27, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 3) + -157 + 166.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 - 2) + 20 + (-3 - -1) + -1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (4 - 3 - (8 + -3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 2*r - 22762 - 11416, -2*r + 4 = 0. Is q a multiple of 211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 4*p**5 - 3796*p**4 + 324896*p**3 - 321104*p**2 = 0.\nAnswer: 0, 1, 94, 854","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 841*h - 42 = 836*h, -12*h + 197 = 77 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 28*t**2 - 33*t - 111. Let a be o(-29). Suppose a*r = 25, -2*m + 0*r + 3*r + 39 = 0. What is the biggest value in -4\/7, m, -1\/9, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -24*g**2 - 76\/5*g**5 + 24*g**4 - 16*g - 8*g**6 + 92\/3*g**3 - 63. What is u in s(u) = 0?\nAnswer: -2, -1, -1\/4, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in -0.06, -19291, -1, -0.07?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j**4 - 298*j**3 + 2*j**2 + 2606.\nAnswer: -8*j**3 - 894*j**2 + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 34 + 231. Let c = -94 - f. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-1 - (-9 - (-5 - -4))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 593?\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(11\/(-9 + 20)). Solve -10 - 5 = -n*q + 5*a, 0 = 3*a + 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -873, -1726, -2579, -3432, -4285, -5138?\nAnswer: -5991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 516598 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 160 + 140 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1611 = -360*l - 549 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-75)*5 - 1094\/(-6). Let q = z - 181. Solve 4*s = -q*u - 2*u + 4, 3*s - 9 = -5*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1104827 and 2?\nAnswer: -2209654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - 1 - 132\/48. What is the biggest value in f, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 175, 689, 1543, 2737?\n\"Answer: 170*y**2 + 4*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*t - 6777 = 181*t + 94*t for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -1444\/3*y**3 + 0*y + 0*y**2 + 49 + 323*y**4 + 2\/3*y**6 + 148\/5*y**5. Solve k(j) = 0 for j.\nAnswer: -19, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74, -166, -330, -578, -922?\nAnswer: -1374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 44, 50, 68, 104, 164, 254?\n\"Answer: p**3 - p + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6882033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 5:04 PM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34694?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 2:42 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (3 - 7)) + (5 - 0) - 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 298916 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 84\/(-378) + 20\/9. Solve 4*v + 15 = 3*m, 3*v - v + 4 = -o*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 10, 201, 0, 7, 0.1, 5\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-756)*9*(-5)\/((-90)\/8)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, 2\/3, 2\/9, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 + -20. Let w(i) = 1 - i - i**3 - i**2 + i**2 - 8*i**2 + 9. Calculate the smallest common multiple of o and w(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooq when four letters picked without replacement from yoqoo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**4 + 4*l**4 + l**4 + 4*l**4 + 2*l**4 - 4*l**4 + l**3 - l**3 - l**4 + (-2*l**2 + 5*l**2 - 5*l**2)*(-l + 2*l**2 + l) + 1 - 5 + 1 + 3*l**4.\nAnswer: 2*l**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 278*l**2 - 17*l - 17. Let i(t) = 46*t**2 - 3*t - 3. Determine -34*i(y) + 6*r(y).\nAnswer: 104*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, 9, -11, 12, 4 in increasing order.\nAnswer: -11, -7, -4, 4, 9, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 74264*t + 891200. Calculate s(12).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1002150 - 121?\nAnswer: -1002311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.2 times -7?\nAnswer: -498.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2239065497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 20*p**2 - 19*p - 4. Let a be f(19). Let j be a\/18 + (-5368)\/(-99). Which is bigger: 55 or j?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.11409456 rounded to 1 decimal place?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 990.757 millilitres to litres.\nAnswer: 0.990757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 - 36. Let s be (q - -4)*2\/4. Suppose 5*j - 48 = 2*j. Solve s = -5*a + j + 9 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ippiinnliipnpiyii. What is prob of picking 1 y, 1 n, and 1 l?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -16*v**2 + 24*v. What is u(2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3963214.\nAnswer: 2, 1981607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -20.0065. Let k = 209.0065 + t. Let m = k + -190.6. What is m rounded to zero decimal places?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0187515027 to 5 decimal places.\nAnswer: -0.01875","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/40 and 2 - (4025\/(-120))\/(-7)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.06378 and -3.6.\nAnswer: -3.66378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by 1163130\nAnswer: -11\/581565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 15.9. Which is smaller: s or -82?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jgjjpjtjgppgt. What is prob of picking 1 t, 1 p, and 1 g?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three eighths of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 7145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (293\/(-63) - 1). Let l = y - -45\/7. What is the nearest to 2 in l, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 3. Suppose -13*u + 505 + 41 = 0. Calculate the highest common divisor of f and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 1 = -f + 2*g, 4*f + 79 = -5*g. Suppose 0 = 4*u + 3*a - 161, 5*a - 2*a = u - 44. Let i = f + u. Is i a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v - 3. Let x(s) = -22*s + 46. Let d be x(2). Let z(m) = -13*m + 9. Determine d*z(f) + 7*h(f).\nAnswer: 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -2\/3*s**3 - 22\/5*s**5 + 0*s - 13*s**2 + 2 + 0*s**4. Find the third derivative of p(v) wrt v.\nAnswer: -528*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/((c*c**3*c*c)\/c)*c**(-11\/4) assuming c is positive.\nAnswer: c**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12355 divided by 2610?\nAnswer: 2471\/522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5625 divided by -3.\nAnswer: -1875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a centimeter in millimeters?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b = -22*b - 88*b + 1609909. What are the prime factors of b?\nAnswer: 7, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(((-3)\/9)\/1). Let p(g) = 0*g**2 + j*g - g**2 + 4*g. Is 28 a factor of p(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697210 to the power of 1\/3, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 3*k + 64. What is p(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r - c + 3 = -8*r, -2*c = -4*r - 16 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18847722821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 165588.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 16*p - 6. Let n(t) = -33*t + 13. Give -13*d(q) - 6*n(q).\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 12, 0, 14\/951?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4522387 or -22611936\/5?\nAnswer: -22611936\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(-2\/11))*i)\/i)\/i**(13\/2) assuming i is positive.\nAnswer: i**(-139\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -1 (c) 11.5 (d) 20 (e) 85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, g: 6, q: 4}. What is prob of sequence og?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -218875 divided by -1?\nAnswer: 218875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -66a - 1?\nAnswer: -670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 2401585?\nAnswer: 2401585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1511 or -10572\/7?\nAnswer: -1511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 725 + -668. Let s = n - 6. What is the remainder when 355 is divided by s?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*f**2*z**4 - 2*f**2*z**3 - 2*f**2*z + 2*f*z**4 - 27*f*z**2 wrt z.\nAnswer: -72*f**2*z - 12*f**2 + 48*f*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -174.02737062 and -49.87.\nAnswer: -223.89737062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2492 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58\/7 - 8. Which is the third biggest value? (a) -5 (b) -0.3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*j**3 - 573*j**2 + 5529*j - 1083.\nAnswer: 3*(j - 19)**2*(5*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0 + (-3 - 4 + 4)*(5 - 3 - 8))*(-p**3 - p**2 + p**2) + 12*p**3 + 13*p**3 - 20*p**3.\nAnswer: -15*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bms when three letters picked without replacement from nssxsxxmmzbmxmmnzmx?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(4\/13)\/p*p)\/(p**(-9)*p)*(p**6\/p)\/(p\/(p**(4\/5)\/p)))**(-4\/7) assuming p is positive.\nAnswer: p**(-3148\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58 + 85. Let w = m + -18. What is the greatest common factor of w and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + r**2 + 3*r + 5. Let b be j(0). Let q be (2 + -3 - 0)\/(b\/(-12130)). Suppose -9*t = -11*t + q. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*c, 21 = -4*x - 2*c + 239. Suppose 0 = 4*g - 2*q - 214 - x, -g = -2*q - 67. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/10)\/t**(-7\/2) assuming t is positive.\nAnswer: t**(17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 143, 151, 153, 149?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 3*a**5\/5 + 45*a**4\/4 + 29*a**3 - 621*a**2\/2 + 486*a + 126. Let i(f) = 0. Calculate f.\nAnswer: -9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6446599g to tonnes.\nAnswer: 0.0000006446599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -187\/3692 - 1\/142. Let a be (5\/(-14))\/((-1230)\/861). What is the third smallest value in l, 5, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1321 and 0.4?\nAnswer: -528.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c**2 - 32245*c - 101886780 = 0. What is c?\nAnswer: -2323, 8772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/5)\/((-86)\/(-430)). What is the closest to -13 in 1, -0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*3*(5*((-1 + sqrt(7200))*-4)**2 + (-3 + -1*sqrt(7200))*-1).\nAnswer: -6912996 + 114480*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 9.09. Let z = n - 0.09. Let x = -409\/20 - -106\/5. Which is the third biggest value? (a) x (b) z (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -k - k + 7, 0 = -a + 4*k - 17. Suppose a*g - 2*s = 218, g = 4*g - 4*s - 226. What is the highest common factor of g and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 25*p**2 - 114*p + 118. Determine n(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/((l\/l**(1\/5))\/l))**(-2\/47)\/(l**1\/l)**(-4\/19) assuming l is positive.\nAnswer: l**(-22\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -6*l**2 - 10*l - 3. What is t(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.5, 1\/6, -4.4 in ascending order.\nAnswer: -4.4, -4, 1\/6, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, 5\/7, 0.1?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4115 and 81.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -67 (base 8) to base 4.\nAnswer: -313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1556 (base 8) to base 15\nAnswer: -3d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, b: 2}. Give prob of picking 2 b and 1 u.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 636 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 237 - -1634718?\nAnswer: 1635056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9381324 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -a**4\/8 + a**3\/6 + a**2 - 1. Let d(i) be the second derivative of g(i). What is the remainder when d(-3) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -129\/2 - -63. Let z be 7*((-6)\/(-7) + 0). Suppose -j + 3*j - z = 0. Sort j, p, -0.5 in decreasing order.\nAnswer: j, -0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2963 is divided by 57?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22850*h + 1944 = 22922*h for h.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -192 + 2425845930\nAnswer: 2425845738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 283 divide 106222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190 + 152 + 211 + j - 777 + 194.\nAnswer: j - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*h**3 - 82*h - 14*h**2 + 82*h - 18*h**3 + 4*h**3 to the form o + a*h**3 + j*h**2 + c*h and give a.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 2 - 6. Let f = 3071.6 - 3072. Which is the second smallest value? (a) u (b) f (c) 5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 8*o**2 + 10*o + 8. Suppose 4*a - 2*z = -49 + 9, 4*a + 2*z = -32. Let x be c(a). Let q be 22\/6 + x\/(-3). Solve -2*d + 12 = q for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 210393 and -31.\nAnswer: -6522183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60570?\nAnswer: 2, 3, 5, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**4\/12 - v**3\/2 + v**2. Suppose a + 4*x = 4, 2*a + 1 = -0*a + x. Let n = 4 + a. What is g(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -353984.15 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s + 94. Determine d(36).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 58, 86, 114, 142, 170, 198?\n\"Answer: 28*n + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**5 + 24*q**4 - 783*q**3 - 5064*q**2 + 20220*q - 14400 = 0 for q.\nAnswer: -16, -10, 1, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nir when three letters picked without replacement from {o: 2, i: 3, h: 9, f: 2, r: 1, n: 1}?\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6853, 27404, 61655, 109606, 171257, 246608?\n\"Answer: 6850*t**2 + t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 542 divide 8130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 109, 238, 419, 652?\nAnswer: 937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is cc3a - 4b0?\nAnswer: c76a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1809379?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5519, 11039, 16559?\n\"Answer: 5520*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 76832207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -440553340 + -4?\nAnswer: -440553344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 11:55 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30149744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 5003 = 5*d + 6*t, 4*t = -2*d + 10054. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7*y + 6. Suppose 7*f = 34 + 8. Let q(r) = -2 + r + 1 + 0. What is f*q(c) + i(c)?\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10499313669.08503943 + 10499313717. Let t = -0.08512743 - l. Let n = t + 48. What is n rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*b - 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*i - 29 = -92 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 36, 76, 188, 408, 772?\n\"Answer: 6*i**3 - 2*i + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -85232 by 25.\nAnswer: -85232\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100 - 100.9.\nAnswer: -200.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -g + 8. Let l(v) be the second derivative of 0*v**3 + 0 + 0*v**2 - 1\/10*v**5 + 1\/21*v**7 + 0*v**6 + g*v**4 - 2*v. Factor l(q).\nAnswer: 2*q**3*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/12*(-16)\/10?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, c: 1, k: 6, h: 2, s: 1}. What is prob of sequence kki?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -618*a + 113537. Calculate l(185).\nAnswer: -793","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 10 = 2*v - 6, -22 = -4*v + 2*z. Suppose x - 2*m - 6 = -3*x, x + m = v. Suppose 0*k - k = x. Which is smaller: -2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 157474460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**5 + 2*h**5 - 5*h**5 + (-h**5 - 5*h**5 + 4*h**5)*(0 + 0 - 3)*(3 + 4 + 1).\nAnswer: 47*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.71, 3\/2, -0.2, -3\/4, 0.\nAnswer: -3\/4, -0.2, 0, 3\/2, 2.71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-32)\/(-12))\/(1\/(-18)). Let l = -29 - x. Suppose 4*s - 1 = l. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 649468379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/40*-8*-5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -54*i**2 - 10*i - 3. Let o(p) = 53*p**2 + 10*p + 4. Calculate -4*b(f) - 3*o(f).\nAnswer: 57*f**2 + 10*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -t**8\/112 - 83*t**6\/120 - 143*t**5\/10 - 254*t**2 - 4. Find the third derivative of w(p) wrt p.\nAnswer: -180*p**2 - 498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -38*b**7\/21 + 177*b**3\/2 + 2*b**2 + 127. What is the derivative of h(a) wrt a?\nAnswer: -1520*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (0 - -7) + -3 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 - 4 = -8*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.48104568 to four dps.\nAnswer: -1.481","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 99\/5579?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r. Let k(y) = -6*y. Suppose 5*v + 30 - 85 = 0. Calculate v*p(n) + 2*k(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 2*f - 14 = 0, 5*f + 4 = 29 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -34 - 5?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**2 + 6*o + 5. Let s(v) = -2*v**2 - 3*v - 3. Determine -3*a(n) - 5*s(n).\nAnswer: n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/1)\/1*(-42)\/6. Let q(f) = -f + 14. Calculate q(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 5*s - 1, -2*s - 4 = 5*g + 14. Let q be (s + -5)\/(-4) - 4. Suppose 2*p + 10 + 2 = -2*k, -4*p - 27 = 5*k. Is k bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -216, -353, -474, -573, -644, -681?\nAnswer: -678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 times 2.7141748?\nAnswer: 40.712622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/3 + 955*q + 5742.\nAnswer: -(q - 2871)*(q + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 176\/3 - 60. Let y = -82.8 + 85. Put y, -2, o in increasing order.\nAnswer: -2, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qqqqqqqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 920338459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 6*q + 4. What is the remainder when (-8)\/(-12) - 896\/(-24) is divided by z(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 727230\/2787715*2\/((-8)\/(-1978))\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -106 (b) -4\/49 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42 or -39?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -312*t + 317*t - 25. Suppose 4*x - 72066 = -5*d + 29163, 4*d + t*x = 80985. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 42*w**2 - 110*w - 270. Determine s(39).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f + 106 = 64 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -d**3\/3 + 9*d**2\/2 + 4. Let l(z) = -z. Calculate u(l(h)).\nAnswer: -h**2 - 9*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180152 divided by -25736.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 3)*(-7*f - 2*f - 14*f)*(2*f - f + f).\nAnswer: 92*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*-1*(-6184)\/(-46380)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 n when four letters picked without replacement from {x: 8, r: 2, v: 1, n: 2, b: 2, o: 2}.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20263, -40526, -60789, -81052?\nAnswer: -101315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18452*g = 17697*g + 38505 for g.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m + 14. Let b be c(0). Let g(f) = 2*f**2 + 7*f - 1. Let o be g(-5). Is 6 a factor of 80\/b + 4\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, v: 1, h: 3, u: 1, c: 6, b: 1}. Give prob of sequence cbvu.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -11*z**2. Let v(i) = 3*i + 1. Calculate y(v(u)).\nAnswer: -99*u**2 - 66*u - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -l**4\/8 - l**2. Let w be (0 + 3)*(-6)\/(-9). Let d(m) = 1 + 2*m**w - 1 - 4*m**2. What is d(a(p))?\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -432.7867 + 87491.\nAnswer: 87058.2133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18975 - 18968. Calculate the remainder when 3187 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 486285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u**3 - u**3 + 7*u**3.\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-110)*(-5 + 238\/42).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.8123 - -0.3623. Are 5 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8253? (a) 17 (b) -1\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - i + 5 = 0, 6*q - q - i + 6 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 158, 8, -5, -6, -9 in ascending order.\nAnswer: -9, -6, -5, 0, 1, 8, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooxxxoxx. What is prob of picking 1 x and 1 o?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 184596, 369190, 553774, 738342, 922888, 1107406?\n\"Answer: -r**3 + r**2 + 184598*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -3*j + 30, 3*u + 30 = j + 2*j. Suppose -3*m = 5*v - 345, -3*v = -4*m - 4*v + 443. Calculate the greatest common divisor of m and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 36*q - 75. Let z be f(-38). Calculate the smallest common multiple of 34 and z + (-2 - -3)\/((-11)\/(-363)).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -363 - -366.57. Let m = 0.43 + t. Sort 0.3, m, 0.5 in decreasing order.\nAnswer: m, 0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24608783?\nAnswer: 2663, 9241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 231113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-266)\/228*(-134)\/14 - 11. What is the fourth smallest value in -1015, 2, -2, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -103*d + 407. Determine w(5).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1328465?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = h + 2*h. Let m = 140 - 126. Calculate the lowest common multiple of h and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -20. Suppose -9*a + 24 = -z*a. Is 2 a factor of (a + 7\/(-2))*6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -0.13 (c) 8054 (d) 3 (e) -0.3 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -26 (b) 1169874 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -1, 0, -102880?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -9.117407 - -0.4\nAnswer: -8.717407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -656 and -0.812385?\nAnswer: 655.187615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3439484 is divided by 192?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (4\/15)\/(-2*(-30)\/(-150))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -126\/13 in -2\/5, 2\/3, 1\/11, 0.4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -23431060?\nAnswer: -23431065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 5*t - 3. Let z be h(6). Let f be 1\/z + 592\/6. Calculate the greatest common divisor of 11 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 2. Let p = -2 + y. Suppose f + 0 - 5 = p. Solve 0*v = -5*v + f for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -20, -19, -18, -17?\n\"Answer: g - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 198834, 198837, 198852, 198885, 198942?\n\"Answer: r**3 - 4*r + 198837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 7*d**2 + 8*d + 5. Let g(s) = 8*s**2 + 9*s + 4. Calculate 6*g(f) - 7*m(f).\nAnswer: -f**2 - 2*f - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -79*d**2 - 18006*d + 1298. Give x(-228).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 141322050 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/110 and -71\/103046504?\nAnswer: 515232520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 83268727*l**5 + 135157480*l + 1 wrt l?\nAnswer: 1665374540*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 488638573?\nAnswer: 12841, 38053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 20 = -3*q. Suppose -3*l - 10 = -q*h, l - 5*h + h + 14 = 0. Let a = 1113 - 1091. Solve -5*x + 4*c = -l + a, 0 = -5*c for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1803, 1800, 1797, 1794, 1791, 1788?\n\"Answer: -3*w + 1806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6079143, -6079267, -6079391, -6079515, -6079639?\n\"Answer: -124*j - 6079019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ius when three letters picked without replacement from duise?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 36 or -11394?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -176a7510 + 16?\nAnswer: -176a74a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 27548*m - 440771. Calculate u(16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -78957, -157940, -236957, -316008, -395093, -474212, -553365?\n\"Answer: -17*l**2 - 78932*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53845?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**3\/11 + 36*z**2\/11 - 118*z\/11 - 36 = 0?\nAnswer: -2, 9, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + sqrt(704) + -2 - sqrt(704)) - ((sqrt(704) - 5*(sqrt(704) + 0)) + sqrt(704) + -1 + sqrt(704) + 0))**2*2 + -2.\nAnswer: -192*sqrt(11) + 5648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6892.2 rounded to the nearest one hundred?\nAnswer: -6900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406 is divided by 139?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 123483.4327 to the nearest one hundred.\nAnswer: 123500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(2*sqrt(5)))**2 + sqrt(2) + 1 + -2 + sqrt(2) - (-4 + sqrt(2) + 2 + -4).\nAnswer: sqrt(2) + 11\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 144\/((-240)\/15) - 3664. Round w to the nearest one hundred.\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/53 in -0.3, -2, 27\/10?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*k - 13*k - 124. Suppose -3*g + 7 = -k. Suppose g + 12 = 5*h. What is h rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((11 - 3*f - 11)*(-3 + 0 + 5) + (-3 - f + 3)*(-1 + 3 - 3))*(-2 - 2 + 2)*(0*f**3 - f**3 - f**3).\nAnswer: -20*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -81*u + 80*u. Suppose -u*b + 2*m = -0*m + 29, 0 = 3*m - 6. Let y be -1 - b\/4 - (-4365)\/12. Round y to the nearest 10.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-22) + (-341)\/121. Let g be (205 + -2 - -1) + v. What are the prime factors of g*-1*(-4)\/12?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -387 = 14*r - r + 30*r for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3 - (-351)\/(-108) - (-94106)\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (27\/(-15))\/((-156)\/1040). Solve 5*w + 5*c = -10, 4*w - 5*c + f = -14 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 8*b - 4. Let p be h(0). What is the third biggest value in 2\/371, -1\/4, p, 1\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - ((3 - -1) + -14). Calculate the greatest common divisor of 72 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1452796 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3428.63 centuries to millennia.\nAnswer: 342.863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and -40678662362.\nAnswer: -40678662361.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42556723?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/8)\/((-90)\/(-1080)))\/((-108)\/16)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -477\/5 + 96. Let t(q) = q**3 + 2*q**2 - 3*q - 3. Let p be t(-2). Let f = 0.17 + 1.83. Which is the nearest to f? (a) p (b) 2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -2982641?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 + 15 - 32 - 3*y)*(y**3 - 2*y**3 - y**3).\nAnswer: 6*y**4 - 12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 318 - 229. What are the prime factors of l?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (183\/(-6) - -29)\/(105\/266*(-14)\/(-140))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -25\/5116?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + -3)\/((-2)\/(-4)). Let w be r\/30 - (-3)\/(-5). Calculate the common denominator of 91\/8 and ((-110)\/12)\/w + 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -16\/5 (b) 0.06 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 7*j**2 + 12*j - 7. Let p be q(5). Let a(c) be the first derivative of 1\/12*c**4 + 4\/3*c - 1\/3*c**p + 1 + 0*c**2. Find v, given that a(v) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 1500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 10) in base 16?\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 2*k - 6558, -3*o - 3*k + 1646 + 3250 = 0. Suppose 0 = 21*h - 8420 + o. What are the prime factors of h?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u + 3. Let g be q(-3). Let z be (-6)\/g*27\/(-6). Find the second derivative of 6*y**2 + z*y + y - 3*y**2 wrt y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 937209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3296, 3294, 3292, 3290, 3288?\nAnswer: 3286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 7*m**2 - 2*m. Let w(n) = -20*n**2 + 6*n. Suppose 0 = 6*k - 12 - 24. Calculate k*w(g) + 17*u(g).\nAnswer: -g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2737*q - 2010*q - 94822 = -1050*q - 50*q for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63b (base 16) to base 4.\nAnswer: -120323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 + 479354752*s + 28722622283122688.\nAnswer: 2*(s + 119838688)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 240 divide 225548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -5, 21, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -8 + 1 + -6 - -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.02, -2\/39, -2?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 = 16*i - 378. What is the greatest common divisor of i and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 40416\/80*(4 - 1 - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -17*u + 22. Let q(g) = 344*g. Give i(q(j)).\nAnswer: -5848*j + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + 17. Let h = -35 + g. What is the nearest to -1\/6 in h, 2, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2663*i + 1398*i - 2047*i)*(i - 5*i + 3*i).\nAnswer: 3312*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4412 = 6*a - 5*x - 4387, -3*x = 3*a + 18 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 29051 + 2\nAnswer: 29053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(4\/21)*z*z\/((z*z**(-14))\/z)*z assuming z is positive.\nAnswer: z**(382\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ubybxeur. Give prob of picking 1 b, 1 e, 1 u, and 1 x.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13\/(-4) - ((-9)\/4 - -3). Let j(z) = 2*z**2 + 7*z + 4. Let f be j(v). Which is smaller: 4 or f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.18? (a) 1 (b) 2 (c) 4 (d) -3 (e) -0.1 (f) 5\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27506648 to the nearest integer?\nAnswer: 5245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -acbb?\nAnswer: acba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-4)*2*20\/8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010010 - 100?\nAnswer: -100010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.89 - -220.89. Let t = g - 216.9. Let r(y) = 6*y. Let b be r(2). Which is smaller: b or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -8. Let w = -19 - -113\/6. Which is the nearest to 1? (a) w (b) i (c) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -86*u**5 - 30721*u**2 + 4956744*u - 8 wrt u?\nAnswer: -1720*u**3 - 61442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -25*m + 14. Let n(p) = 12*p**3 + 2*p**2 + 6*p. Let r(u) = u**3 + u. Let i(v) = -n(v) + 8*r(v). Let w be i(1). What are the prime factors of c(w)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1161 = -10*r + 16869. Let p = r - 62. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -605854*d**4 + 641*d - 8?\nAnswer: -7270248*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 5:29 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-4) + (-318)\/(-12). Let r = t - -87. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(171))\/sqrt(9) + (sqrt(190) - (sqrt(190)*-1 - sqrt(190)))\/sqrt(10))**2.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*c - 7*c - 282. Is c a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/((-5)\/2)*-3. Let o = t + 3. Let a(r) = -r**2 - 4*r + 5. Let s be a(-4). Put -4, o, s in descending order.\nAnswer: s, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7 or 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/30 + 40\/480 and -73\/66.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143763595 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 5 - 5 - 5 - 7*j + 5 + (3*j + 3*j - 5*j)*(-1 - 4 + 4) - 2*j + j + 0*j)*(-4*j**2 + 3*j**2 - j**2).\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, 31.\nAnswer: -6, 1, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + x)*(12 - 6 + 4).\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -137*v**3\/6 + 187*v. Let w(r) = 3*r. Determine m(w(a)).\nAnswer: -411*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/(-18))\/(0 + 1\/(-2)). Suppose -9 = 4*i - 1. Let c be (-29)\/(-28) + i\/7. What is the nearest to q in 3, -2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -63, -140, -279, -498?\nAnswer: -815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fjjyfyqkfwwfyk. Give prob of sequence fqjy.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -80*s**3 + 22746*s**2 - 30*s + 16802?\nAnswer: -480*s + 45492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z. Let v(h) be the second derivative of 7*h**4\/12 + 7*h. What is m(v(o))?\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 - 484*l - 482.\nAnswer: -2*(l + 1)*(l + 241)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1856)\/10208 + (-84)\/22 + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15082.5578 rounded to the nearest 100?\nAnswer: -15100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(3\/(-36)*-3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/(0 - (-2)\/(-18)). Suppose 2*n - 6*n = -h. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -28*s**2 + s - 6. Let k(i) = 56*i**2 - 2*i + 11. Let t(d) = 6*k(d) + 11*p(d). Give t(1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + x = 18. Let k(r) = -r**2 - r + 1. Let j(g) = 5*g**2 + 4*g - 6. What is x*k(s) + j(s)?\nAnswer: -s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -n**8\/112 - 3*n**7\/35 - n**6\/8 + 4*n**5\/5 + 3*n**4\/2 - 8*n**3 - 39*n**2. What is u in f(u) = 0?\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(125) + 2 + sqrt(125).\nAnswer: 1 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.13 + -2.63. What is y rounded to one decimal place?\nAnswer: -7.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -18, 4\/7, -6?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w - 3. Let m be t(7). Suppose -1 = 2*o - 5*v, 3*o - v - 4 = v. Find the third derivative of m*z**o - 4*z**2 - 3*z**6 - z**2 wrt z.\nAnswer: -360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -495.22 and -6958737451.\nAnswer: -6958737946.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24\/(-10) + (-495)\/825 + (3 - -2). Solve 6 = -4*l - 2*v, -5*l + 3*v + 7 = -b for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-2)\/10 + 228\/570?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5461, -636, 7387, 18596, 32979?\nAnswer: 50524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6)*(-1)\/2 + 1\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -1702*f**3 + 2*f**2 + 1564*f. Let s(a) = -3405*a**3 + 3*a**2 + 3131*a. Let q(l) = -3*s(l) + 5*t(l). Find the third derivative of q(r) wrt r.\nAnswer: 10230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 439318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 4*k**2 + 8*k - 13. Calculate o(6).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-51)\/(-27) + -5 + (-184)\/(-36). Suppose -3*u + 9*s - 4*s + 44 = 0, -4 = -j*u - 3*s. What is the lowest common multiple of u and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5\/952 - 37589\/2856. What is the common denominator of h and -19\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8043046l in millilitres?\nAnswer: 804.3046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/10 and -47\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 833*c + 8342. Let b = 70 - 19. What is the remainder when b is divided by z(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 798 a factor of 2970156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23749, 23769, 23803, 23851?\nAnswer: 23913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*5\/30*14\/(-7)*7.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5*k - 20 = -0*k, -g + k - 2 = 0. Solve -4*t - x = 8, 3*t - g = -3*x + 2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 - 5224*h - 3411272.\nAnswer: -2*(h + 1306)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14411.98449 rounded to the nearest integer?\nAnswer: 14412","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 4186169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 + 3*h + 7*h - 3*h - h to the form r*h + y and give y.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 144*o + 425. Give f(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1520 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 858207080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 142*g - 197 wrt g.\nAnswer: 142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3*u**3 + 14568*u**2 - 7144113*u + 836014422 = 0.\nAnswer: -5314, 229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l - 7*l + 5*c + 28 = 0, 1119*c = -l + 1118*c - 17 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(15)*-2*-4)\/(2*sqrt(245) - (sqrt(5) - sqrt(80)\/sqrt(4))))**2*-3.\nAnswer: -2304\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 319727642?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1299 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**3*w**3 + d**3*w + 280675*d**2*w**3 - 3*d**2*w + 55735*w wrt w?\nAnswer: -6*d**3*w + 1684050*d**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and 42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m - 2*m - 2*m)*(-809 - 61 - 320) + (2 - m - 2)*(0 + 0 + 1).\nAnswer: -2381*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -27*f**4 - 8824\/3*f**2 - 400\/3 - 552*f**3 - 3680\/3*f = 0.\nAnswer: -10, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 3*q - 1. Give u(-7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -51130 (base 8) to base 14\nAnswer: -797a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/42*1*140\/3560*-1?\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 + 155?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7889*2.\nAnswer: 1.5778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.91045 + -0.4\nAnswer: 0.51045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44aa8 (base 11) to base 3.\nAnswer: 10022110102","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28715 is divided by 373?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02863 and -154.15?\nAnswer: 4.4133145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60 + -60.3. Let f = -140\/3 - -47. What is the closest to -1 in f, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/8 or -1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 8*a**2 + 14*a + 6. Let c be w(4). Let h(d) = 4*d**2 + 9*d + 11. Calculate the lowest common multiple of h(c) and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002046221 to 5 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q**2 - 5*q**3 + 7*q**3 - 3*q**2 + 4 - 2 + 2*q**2 + q. Suppose 4*p + 26 = 18. What is x(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -8. Let g = -3 - b. Solve -g = -3*n + 4*t, -2*n + t + 3 = -3 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15347532 is divided by 1534746?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axnnnxn. Give prob of picking 2 x.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 - 32*r + 14. Let z be p(16). Let t(i) = -i**2 + 16*i - 34. Let h be t(z). What is the nearest to 0.3 in 0.4, 1, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 0*m + 4 + 1\/2*m**2. Let w(l) = 35*l**2. Calculate b(w(p)).\nAnswer: 35*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2 + 6 = 0, 2*l = 5*t + 214. Let x = 82 + t. Is x a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*g + 18. Let h be ((-12)\/g)\/2*39. Let c = -27 - h. Let y(a) = -11*a**2 + 2*a + 1. What is y(c)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 - 28 + 14)*(-4 + 9 + 0)*(-7 + 7 + 6*l**2).\nAnswer: -1080*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/5, -4, 13\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1356 and 17289?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 8*a - 1830. Let i be c(47). Let y(m) = -m**3 - 4*m**2 + 2*m - 1. Let v be y(-5). Solve -v - 1 = i*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -67*o**3*y**5 - o**3*y**2 - 2*y**4 - 53*y**2 wrt y.\nAnswer: -4020*o**3*y**2 - 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -6*b**3 + 25*b**2 + b - 25. Let z be f(4). What is the nearest to 0 in -0.062, z, -0.13?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2530 - -13?\nAnswer: 2543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-556)\/(-4170) + (-4)\/360*2.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -647*u + 637*u = 10 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**3 + 11*z**2 + 16*z - 8. Calculate y(-4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7173\/8 + -884. Find the common denominator of 13\/36 and f.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15586, 15583, 15578, 15571, 15562, 15551, 15538?\nAnswer: 15523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 + (-20 - (29 + -76 - -2))?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 3*g + 3*g)*(47*g**4 - 42*g**4 - 63*g**4).\nAnswer: -232*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6142891885 to the power of 1\/2, to the nearest integer?\nAnswer: 78377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, -61, -190, -371, -604, -889?\nAnswer: -1226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 112293618 to the nearest integer?\nAnswer: 10597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**6)\/(a*a\/a**7)*(a**(-2\/25)\/a*a)\/(a\/a**(4\/3)) assuming a is positive.\nAnswer: a**(19\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 436 (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 10:00 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025710008816 rounded to three decimal places?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14250*o**2 + 19846*o**2 + 6713*o**2.\nAnswer: 40809*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 174, 369, 574, 777, 966, 1129?\nAnswer: 1254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 236, 1570, 5188, 12230, 23836, 41146, 65300?\nAnswer: 97438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, v: 2, i: 1, x: 2}. Give prob of sequence ai.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + (5*(3 + sqrt(242)) - ((-1*sqrt(216))\/sqrt(9))\/sqrt(12))).\nAnswer: -280*sqrt(2) - 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 12104318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - d + 1008 - 201 = 0, -4*n = -3*d - 795. List the prime factors of -1*n\/(1 - 4) - 2.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 345\/(-230)*(5\/(-3) - -1). Let a(h) = 46*h**2 - 4*h - 2. Let i(z) = -2*z + 1. Let u(d) = m*a(d) - 2*i(d). Differentiate u(t) with respect to t.\nAnswer: 92*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 8*r**2 - 14*r + 131. What is q(8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 74.99003 seconds?\nAnswer: 74990030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 330967?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4\/7 + 13990*p**3 + 195852*p**2\/7.\nAnswer: 2*p**2*(p + 2)*(p + 48963)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 144 - 141. Suppose -u*x + 6537 = -0*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -884 + 889. Solve b*p + 139 = 119 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 20*f**2 + 19*f + 5. Let d be r(19). Suppose 0 = -d*h + 481 + 1409. Is 27 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k + 2*k - 2*k - 5*k + 10 - 10 + (0*k + 4*k - 2*k)*(3 - 5 + 0) + 3*k + k - 5*k + 1 - 2*k - 1 in the form s + j*k and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 122*h**2 - 27*h + 84. Does 101 divide a(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p + 8 = 12*p. Suppose -324 = 6*k - p*k. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**2 - 3*m - 4. Let y = -182 + 187. Let v(q) = 3*q - 27. Let j be v(11). Let t(b) = 2*b**2 + 4*b + 5. Give j*f(r) + y*t(r).\nAnswer: -2*r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 + -106. Which is bigger: w or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yryyuybayyzyuzuya. What is prob of sequence uar?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**6\/30 - h**5\/15 - h**4\/6 + 2*h**3\/3 + 33*h**2. Let v(u) = 0. What is u?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {b: 2, e: 3, x: 2, t: 1, d: 1, f: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a kilogram in grams?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26.4 + -2.4. Let u = z - 13. Let s = u + -11.2. What is the smallest value in 3, s, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (20 - 12 - -3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, -3\/610, -3, -0.7.\nAnswer: -3, -0.7, -3\/610, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168) + 2*sqrt(168)*-1)\/(sqrt(6) - (sqrt(6) + (2*sqrt(42))\/sqrt(7))).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r - 15. Let m = -10 + 17. Let f be j(m). Suppose -5*s - f = -10*s. Sort 0.1, -5, s in increasing order.\nAnswer: -5, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) 7 (b) 0.06126 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 5*n - 152, -5*r + 4*r - 1 = 0. Suppose t = -3*t + 16. Let i = t + n. Does 26 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.2 + -0.8. Let f = -13908 + 13903.99944. Let p = w - f. Round p to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 11*n**2 + 4*n. Let a be ((-66)\/(-9))\/(2\/3). List the prime factors of u(a).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269*t = -135*t - 137*t + 507. Solve t = 25*j - 6 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u - 2060*g + 2059*g - 10, -10 = -2*u + 3*g for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kcuvvuv. What is prob of picking 1 k and 1 v?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 1.74, 5 in decreasing order.\nAnswer: 5, 1.74, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 1\/4*c**4 + 1\/3*c**3 + 0*c + 65*c**2 + 0. Let i(q) = q**3 - 6*q**2 + 2*q - 9. Let r be i(6). Calculate a(r).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 2*c - 8. Determine a(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/((-1215)\/36))\/((-44)\/(-10)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24010 and 230300.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.1? (a) -5 (b) -0.06 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 4*y**2 + 16. Calculate n(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95744095, -95744091, -95744087, -95744083, -95744079?\nAnswer: -95744075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90 by -45.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ikkk when four letters picked without replacement from {k: 8, i: 5}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-3 + 14 + -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -609, 2573, 7833, 15171, 24587?\n\"Answer: 1039*v**2 + 65*v - 1713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1742*v + 37978 - 154692 for v.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + -28. Let u = z - -87. Calculate the remainder when u is divided by 2\/(0 - 2\/(-13)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32001331?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 102785782.11 and -12?\nAnswer: 102785794.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9792 - -9895. Which is greater: -4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/2880 and 107\/1680?\nAnswer: 20160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 5*p**5\/3 - 469*p**4\/3 + 1157*p**3\/3 + 10997*p**2\/3 - 32050*p\/3 + 18200\/3 = 0?\nAnswer: -5, 4\/5, 2, 5, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/28)\/((-1)\/(-5)*(-230)\/92)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/(-3))\/((-1530)\/(-72063)). Do 78 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 14*i**2 - 1. Suppose -x + 0 + 1 = 0. Suppose -2*y - 5*d - 3 = -0*d, 2*y + 3*d + x = 0. Does 5 divide g(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (90\/225)\/((-6)\/10)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g*g\/((g\/(g\/(g*g**(1\/8)\/g)*g))\/g))))\/g)\/g**16 assuming g is positive.\nAnswer: g**(-105\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320*a = 87*a - 4*a. Sort -2, 1, -4, -25, a.\nAnswer: -25, -4, -2, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12737586067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 538 = 144*n - 105*n - 749. Solve 0 = -4*o + n*y - 32*y - 8, 0 = 2*o + y + 10 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 10 = 6*t, 0 = h + 5*t - 31. Solve 3 = -b + h for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-2 + -1 + 4 + 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 3*k + 16. Let h be d(7). Let b be 15\/h*10*2. Let a = -3 - b. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -919\/1292?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3639*z + 36540 = 2827*z for z.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 1. Let b(s) = 4*s**2 - 12*s + 13. Let o(x) = -b(x) + 3*t(x). Let m be o(11). Let q = 0 + 4. Put -2, m, q in ascending order.\nAnswer: m, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 247*b**3 - 6*b**2 + 7*b - 45. Let s(x) = 106*x**3 - 3*x**2 + 3*x - 22. Let p(d) = 3*r(d) - 7*s(d). Let j(l) = l**2. Determine -6*j(w) + 2*p(w).\nAnswer: -2*w**3 + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ctic when four letters picked without replacement from {p: 6, i: 9, t: 1, c: 3}?\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -0.1 (c) 0.2 (d) -153 (e) 1\/10 (f) 2 (g) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1171522*j**3 + 165336*j**2 + 2*j wrt j?\nAnswer: -7029132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 2) + 2 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5 + -1*sqrt(117) - (sqrt(117) - 6*-1*sqrt(117) - sqrt(117))))**2 - (((sqrt(156)*1)\/(sqrt(54)\/sqrt(2)))**2 + 1).\nAnswer: 7560*sqrt(13) + 1865531\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/336)\/(6\/(72\/2))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -148.99 + 149. Does y = 13\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 17*z**2 + 5. Let r be f(17). Let y(u) = -u**3 + 14*u**2 + 20*u - 75. Let w be y(15). Solve -x - r + 3 = w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(81) - sqrt(9)))\/((sqrt(60)\/sqrt(3))\/sqrt(2)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 108107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -29*s + 34*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 j when four letters picked without replacement from jjjrr.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 12:41 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccccccccbcbcbccbc. What is prob of sequence cc?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 19\/(171\/(-90)) + (-2023)\/(-7). Which is smaller: 276 or v?\nAnswer: 276","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5 = -15, -y + 4*w = 3. Sort -6, y, 1805.\nAnswer: -6, y, 1805","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/25, -3\/28, -1, 10, -4 in descending order.\nAnswer: 10, 2\/25, -3\/28, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 608 and 238112?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -69, -165, -301, -477, -693, -949?\nAnswer: -1245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4090*y**2 + 15748*y**2 - 3880*y**2 - 3889*y**2 - 3883*y**2.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -78*d + 107*d + 91 - 38*d. Give n(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i**4*q - 390042*i**3*q**3 - 1027102*q**3 with respect to i.\nAnswer: -4*i**3*q - 1170126*i**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j. Let g(x) be the first derivative of 9*x**2\/2 - 10. Give g(r(a)).\nAnswer: 27*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 6*d. Let s be n(6). Suppose 3*b - s = -b. Let i be b\/(-12) - (-2)\/8. Which is greater: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -1a10825?\nAnswer: 1a1082a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 65828 and 464.\nAnswer: 7636048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*c + 198 - 198 to the form f*c + h and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 3769547?\nAnswer: -9\/3769547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 181379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a**5 + 267*a**4 - 786*a**3 - 2412*a**2 + 648*a = 0. Calculate a.\nAnswer: -2, 0, 1\/4, 6, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from mmmjumu?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419237 is divided by 3495.\nAnswer: 3332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -45*c + 50*c + 25, 0 = -4*a for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 5*v + 25, 0 = -3*v + 1 + 5. Calculate the remainder when 19 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 817 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 25\/7, 19, -0.3, -3, 1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.99 * 1060956\nAnswer: 1050346.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (-6 - -11)) + -8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, i: 1, b: 2, j: 4, g: 3, f: 2}. What is prob of picking 1 b, 1 i, and 2 j?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -61 - 235?\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 - 85*f**2 + 1057*f**3 - 672*f**3 - 386*f**3.\nAnswer: -f**3 - 87*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**4 + t**4 - 3*t**4 + (2*t**3 - 5*t**2 + 5*t**2)*(-9*t + 5*t - t) - 42*t**4 - 1649 + 1649.\nAnswer: -53*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*z = 70. Let j be (-114)\/(-7) + (-4)\/z. What is the tens digit of ((1 - 1) + (-9)\/(-6))*j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 30*k - 9 = -183 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14 + 35998?\nAnswer: 35984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 327*g**3 - 1110*g**3 - 3829*g**3.\nAnswer: -4612*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = u + 8. Let f = u + 37. Does 9 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 949.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114091, 228185, 342279, 456373, 570467, 684561?\nAnswer: 798655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**9*t*t*t\/(((t\/(t*t**(-10)))\/t*t)\/t*t))\/(t**(-1\/2))**(-23) assuming t is positive.\nAnswer: t**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 502 + -503. Let h = -3.4 - -3.5. What is the smallest value in h, t, -4, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 824688 and 498?\nAnswer: 824688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 16564 divided by -2\nAnswer: -8282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 26*c + 7. Let u = -259 + 254. Give y(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 16.5. Let o = c - -8. Let k = -1 + o. Sort k, 3, 1 in decreasing order.\nAnswer: 3, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 9, 16, 23, 30?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -1106?\nAnswer: 110b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-12 - -14) + (4 - 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -19*g**5\/5 + 16*g**3\/3 + 3. Find the third derivative of q(d) wrt d.\nAnswer: -456*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2*p)*(3*p - 1 + 1) + (-31 + 26*p + 31)*(36 - 36 + 9*p) in the form y*p**2 + a*p + w and give y.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-9 - -13 - (-3 - 0)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a - 4, -380*a = 4*p - 385*a - 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 186*c - 1704. Let p(u) = 14*u - 131. What is -2*h(y) + 27*p(y)?\nAnswer: 6*y - 129","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/9 in -6\/11, 5\/3, -0.17035, -3?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.72 - 8230.\nAnswer: -8228.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -269 + 182. Suppose 0 = 3*c - 29 + 98. Let g = c - i. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2776*z - 2781*z - 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**2 + 6 - 2*w**2 + 3*w**4 + w**2 - 7 in the form r*w**2 + y + p*w + z*w**3 + f*w**4 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 1301 = 4733. Let d be t\/9 - (-4)\/(-6). Suppose 0 = -4*l + 5*i + 263, i = 4*l - 457 + d. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((18 - (-4 - -9)) + -7 - -13) + -7.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - (-21925)\/875)\/((-30)\/105 + 1\/(-7))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2)\/(-2 - ((-210)\/(-208) + -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -10*h**2 + 420*h. Let f(s) = 5*s**2 - 209*s. Let d(x) = 5*f(x) + 3*r(x). Factor d(i).\nAnswer: -5*i*(i - 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - a = -5*a, 5*q - 29 = -3*a. Solve 6 = q*j - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 21*o - 15 + o**2 - 12*o - 9*o. Let w(q) = 2*q**2. Calculate w(m(j)).\nAnswer: 2*j**4 - 60*j**2 + 450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 287311402 to the power of 1\/2, to the nearest integer?\nAnswer: 16950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from pmmeppeemmem.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243 - 4798 - 798 = -53*m for m.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -10*c**2 + 0*c + 0*c. Let s(k) = 102*k + 2. Let q(j) = 105*j + 2. Let a(n) = 5*q(n) - 5*s(n). Give f(a(i)).\nAnswer: -2250*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*d**2 - 5*d**2 - 2*d**3 + (-3 + 3 + d**2)*(0*d + 0*d + d) - 2*d + 70*d**2 + 1647*d**3 - 1648*d**3 - 20*d**2 to u + x*d**2 + f*d + j*d**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -2*v + 15. Does 15 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.29 - 0.29. Which is the closest to -1\/5? (a) 3\/7 (b) 5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*l - 32884355 - 61083645 = 0. Round l to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/7)\/r*r*(r*(r\/r**(-7))\/r)\/r*r**(3\/19)\/(r\/(r\/r**26)) assuming r is positive.\nAnswer: r**(-2468\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**4\/8 - 8*f**3\/3 - 2*f**2. Suppose -2*c - 5*k = -3*c, -3*c - k = -16. Calculate the remainder when z(-8) is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -48, 2, -237\/8, -22.\nAnswer: -48, -237\/8, -22, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -3, 0.6 in decreasing order.\nAnswer: 10, 0.6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v + v - 6*v - v**2 - 9*v. Suppose f = -47 + 30. Let q be z(f). Solve q*g = 2*g - 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from goggggo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 6 (b) 4\/15 (c) 14\/1361\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 630 is divided by 171.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1307371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39 - -42. Which is the closest to -3? (a) -4 (b) -0.2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009705655 to 4 decimal places.\nAnswer: 0.0097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-824)\/(-11) - ((-522)\/(-783))\/(77\/105).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01508 in 10, -5\/3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from {p: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + (sqrt(242)*3)**2 + sqrt(242))*-5 + 4.\nAnswer: -10886 - 110*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 1. Suppose 5 = -4*z - 0*t + t, -g*z + 5*t = 25. Solve -h = 3*y + 9, -2*y + z = h + 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-15 - (-1054)\/51)\/(2\/372).\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -404*k**2 - 253*k. Let j(w) = -w**2 + w. Let d(m) = h(m) + 2*j(m). Find the second derivative of d(i) wrt i.\nAnswer: -812","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35846275 take away -18.641?\nAnswer: 35846293.641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**2 + 0*g**2 - 3*g**2)*(-2*g + 2*g**2 + 2*g).\nAnswer: -14*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 1:05 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 7430*v - 20. Let m(l) = -338*l + 1. What is 45*m(h) + 2*t(h)?\nAnswer: -350*h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2089 or -5153?\nAnswer: 2089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 706726242 at least 706726242?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 462, 461, 460, 459, 458, 457?\n\"Answer: -h + 463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q + 15*q + 3*q + (-7 - 18 + 67)*(-3*q + 2*q + 3*q).\nAnswer: 107*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 7*u**2 - 10*u - 8. Let p be l(-6). Suppose -3*f + p - 4 = 0. What is the lowest common multiple of f and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**5 + 23*k**4 + 4*k**5 - 596*k**2 + 528*k**2 - 36*k**3 - 16*k = 0. What is k?\nAnswer: -4, -1, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 73631073 + -47554643. Suppose 4*x = 2476430 - a. What is x rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -x**6\/60 + x**5\/30 + 6*x**2. Factor m(i).\nAnswer: -2*i**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1424.1 + 1424.1. Which is the nearest to h? (a) -5 (b) 8 (c) 1\/6 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(0*q**3 + 0*q**3 - 3*q**4) + 0*q**2 + 3*q - q**4 + 0*q**2.\nAnswer: -7*q**4 + 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 15*i. Let k(z) = -z + 2*z + 2*z - 5*z. What is v(k(d))?\nAnswer: -30*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 2\/3, 43, 3, -0.14, -4 in descending order.\nAnswer: 43, 3, 2\/3, -0.14, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -w**4\/4 + 5*w**3 + 3*w**2\/2 + 15*w + 6. Is c(15) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 21*j - 26. What is t(7)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06348 to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.096 (b) -10 (c) -6\/5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/(21\/2) - 326242\/(-6). Let r(p) = 7*p**3 - 3*p**2 - 54373*p + m*p. Let v(a) = 7*a**3 - 4*a**2. Calculate 4*r(w) - 3*v(w).\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 127, 673, 1883, 4003, 7279?\nAnswer: 11957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 38*j**3 - 34*j**2 - 22*j - 533. Let k(h) = -7*h**3 + 7*h**2 + 4*h + 106. Determine 11*k(v) + 2*u(v).\nAnswer: -v**3 + 9*v**2 + 100","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6*c = -3*a - 1412, 0 = -5*a - 20. What is c rounded to the nearest 10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6456 and 51384.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105801672 divided by -8.\nAnswer: -13225209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -380*f**4*i**3 + f**4*i**2 - 1100*i**3 wrt f?\nAnswer: -1520*f**3*i**3 + 4*f**3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 112 + -137.1. Let j = -23 - m. Let d = -0.1 + j. What is the nearest to 0 in d, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2722 + 2734. Solve 0 = -5*u + 3*k - z, 4 = -3*u - 4*k - 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -113099 and 7.\nAnswer: -113092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 120 (b) -1169 (c) 1\/4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-2\/7)\/z))\/z*z**(-1\/3)*z*(z**(-3\/2)*z*z)\/z*z*z**(-3)*z*((z\/z**(-2))\/((z*(z**(-2)*z)\/z*z)\/z))\/(z*z**0)**(-2\/111) assuming z is positive.\nAnswer: z**(5393\/1554)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 q when three letters picked without replacement from {d: 3, q: 7}.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -13*r + 8. List the prime factors of z(-2).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -16 (b) 5 (c) 0.41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uzqvv. What is prob of sequence zq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -5*a**2. Let m(v) = 5*v - 10*v + 2 - 2. Give f(m(k)).\nAnswer: -125*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 18 - 63. Let r = f - -14. Let x be (-8)\/44 - (-159)\/(-33). Sort x, r, -18 in ascending order.\nAnswer: -18, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 121 + -79. Suppose 3*q - y = -k, -5*k - 6*q = -2*q - 177. 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 9884.3108 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -29*f + 7. Let v(i) = -14*i + 3. Give -4*l(g) + 9*v(g).\nAnswer: -10*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 124969872*u*w**4 + 134536018*u wrt w.\nAnswer: 499879488*u*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 6*m = -m, -5*l + 37 = 4*m for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2274.900001106 + -2274.9. What is b rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -2dbf2a?\nAnswer: -2dbf2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02925661557 rounded to 5 decimal places?\nAnswer: 0.02926","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of r**3\/3 + r + 65. Let t = 35 - 35. Suppose t = -3*m - 19 + 22. Determine h(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - u + 48. Suppose 6*f - u = 2*f. Let m be 1\/f - 352\/3. What is m rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**3 - 2*b**3 - 2*b**3 + (-17*b - 38 + 38)*(-2*b**2 - b**2 + 2*b**2).\nAnswer: 15*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 399\/(-266) + (-6 - (-530)\/20)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**3 - 2*s**2 + s. Let q be g(1). Solve -1\/4 + l**q + 3\/4*l = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2*y = -840, 5*y + 170 + 670 = 5*a. What is the greatest common divisor of 72 and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (84\/(-120 - -78))\/(7\/(-371))\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1970055*a**3*g**2*l - 35*a**3*g**2 + 9210*a**2*g**2 + a**2*l + 6*a**2 + 2*a - l - 4 wrt a?\nAnswer: 11820330*g**2*l - 210*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppdpvdpdpdvdddvvppv. Give prob of picking 1 v and 1 d.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22579 + 336. List the prime factors of n.\nAnswer: 5, 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13357 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -514*i + 497*i - 34 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 3*a**2)*(7*a**2 - 3*a**2 - 2*a**2).\nAnswer: 6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 9. Let l(t) = t**2 - 14*t + 24. Let c be l(12). Let v be r(c). Let p be 1\/((-64)\/(-22) + -3). Is v bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*2 + 0 + sqrt(288)*-1*-4)**2 + ((sqrt(784)*2)\/((2*sqrt(96))\/sqrt(12)))**2.\nAnswer: 10466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 166 (b) -1\/5 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/62925 and -97\/945?\nAnswer: 3964275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/1451, 0.2, -2 in decreasing order.\nAnswer: 0.2, -2\/1451, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 144076?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/2304 and -73\/504?\nAnswer: 16128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-42)*(-3)\/2. Let m = 0.2 - 0.1. Let n = 0.1 + m. What is the third biggest value in r, n, 2\/11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 66 = -4*f - 62, 0 = -5*l - 2*f + 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25944\/1449 + (4 - 23) and 1\/(-5) - (-432)\/(-3465)?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 3, 5.8, -2\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -8 + 0*x**3 + 0*x - 13*x**2 + 3\/2*x**6 + 0*x**4 + 0*x**5. What is the second derivative of f(j) wrt j?\nAnswer: 180*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*z + 16 = 0. Let a = z - -8. What is the second derivative of -5 + 5 + 8*x**4 + x - 7*x**a wrt x?\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -6*p + 3*p**2 - 2*p - 2*p**2. Let n(z) = -z. Let t be (-9)\/12 - (-15)\/4. Let v(l) = t*y(l) - 24*n(l). Let d(u) = 4*u**2. Give d(v(i)).\nAnswer: 36*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + y**2 - 2*y + 2. Let x(z) = z**2 + 2*z - 3. Let i be x(-3). List the prime factors of u(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (102\/(-34))\/(6\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 11*w**2 - 7*w - 1. Let k = -19230 + 19355. What is the remainder when k is divided by v(-11)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/3206 and -15\/3206.\nAnswer: 3206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*z + 4*u - 5, -5*z + 26 = -4*u. Let q = 77 - 63. Suppose -23*o = -16*o - q. What is the remainder when z is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 12, 0 = -0*w - 2*w - n - 4. Suppose -4*g = 2*v - 16, w = -4*g + 5*v - 0 - 12. Let f be g - (-2 + (-7)\/(-2)). Is f smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1202*c + 1275*c + 1078*c - 1075*c.\nAnswer: 2480*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.887 + 0.113. Which is the second biggest value? (a) y (b) -3 (c) -9\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -67*y. Let s(x) = -2*x. Determine s(w(k)).\nAnswer: 134*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0 = -4*w - 2, -w = 3*x - 4. Suppose 5*f = 2*t + 7, 0 = 2*t - t + x*f - 10. Find the second derivative of -c - c - t*c**2 + c**5 + 4*c**2 wrt c.\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -414 divided by -15467\nAnswer: 414\/15467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 32626435, 65252895, 97879383, 130505905, 163132467, 195759075?\n\"Answer: f**3 + 8*f**2 + 32626429*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j - 235. Let b be p(-60). Solve 4*t + 9 = -o + 14, 0 = 5*o - b*t - 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*l = -9, -l + 1 + 2 = -r. Solve -3 = -4*i - 5*d, r*i - d - 9 = -4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 322\/1563 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (6 - -13) + (0 - 2) + -4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13.268 + 66.358. Let a = 54 - q. Let v = -0.25 - a. What is v rounded to one dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -8033*j - 62. Let o(t) = 2676*t + 18. What is -7*o(c) - 2*r(c)?\nAnswer: -2666*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w + 11. Let c be m(10). Let h be c\/((-9)\/16) - -4. What is h rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -43*y + 79. What is f(6)?\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(13\/4)\/f)**35 assuming f is positive.\nAnswer: f**(315\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4090 or 4098?\nAnswer: 4098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12413, -7859, -3305, 1249, 5803?\n\"Answer: 4554*b - 16967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18 - -677?\nAnswer: 691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/6*(-8)\/(-3). Let r = d + 0. Let n be (-32)\/12*(-3)\/r. What is the greatest common factor of 16 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 8:00 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32950?\nAnswer: 2, 5, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 288 and 1474288.\nAnswer: 26537184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 3:09 PM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 22. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -2*g - 12. Let y = -21 - g. Let z be -1*y + (-3)\/(-1). Let f(w) = 6*w**3. Determine f(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -8. Let x = 2.9821 - -0.0099. Let o = v - x. Round o to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -108, -144, -182, -222?\n\"Answer: -d**2 - 33*d - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 438 = p, 4*p - p + 21 = 0. Solve -19 = 5*w - d, -n*d = -2*w - 84*d - 3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c + 1. Let w(y) = 2*y - 1. Let m(d) = l(d) + w(d). Let f be m(-1). Let b be (2\/f)\/((-1)\/8). What is the highest common divisor of b and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -624.3 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -35*n - 1850. Calculate w(-54).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - (-15)\/(-12))*4. Let y(o) = 2*o**2 - 3. Let c be y(p). Suppose -4*f = f - c. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*w + 30*w**2 - 2*w**2 - 119*w + 4*w**2 + 60*w.\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15867.89 - 15868. What is the nearest to 0.1 in i, -96, -0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 + 6*h**2 + 124*h**3 - 126*h**3.\nAnswer: -2*h**3 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -78814*x + 78812*x - 20, -6 = -9*x - 2*n for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -198184*w + 11891035. What is o(60)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 120 divided by -40\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -101266 (base 11) to base 8\nAnswer: -475610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84065, -84065, -84061, -84047, -84017, -83965, -83885, -83771?\nAnswer: -83617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 1:08 AM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 763 - 447. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((650\/39)\/25)\/(3\/(-9))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 i when three letters picked without replacement from {i: 6, g: 7}?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 120456 divided by -1673?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3503357157?\nAnswer: 3, 1167785719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -30*o**4 + 290*o**3 + 5*o**2 - 215*o - 50. Let u(q) = q**4 - q**3 - 2*q + 2. Let f(g) = -d(g) - 25*u(g). Find j, given that f(j) = 0.\nAnswer: -1, 0, 1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15231859?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15\/13 - 4\/26)\/30. Let v(i) = i**3 + i**2 - i + 1. Let c be v(1). Are c and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqd when three letters picked without replacement from {w: 5, z: 3, v: 5, q: 5, d: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - c + 62893 = 62913, c + 22 = -5*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2. Let t(o) = 106398467*o**2. What is t(h(j))?\nAnswer: 106398467*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-114)\/(-812) + 92\/(-1288)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/23, 14, -0.1, -66.7, -40?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 59653 at least as big as -98?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 394.0782 - 445438\nAnswer: -445043.9218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - ((-1 - -2) + (-236 - -271))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65632 is divided by 21789?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(5) - (sqrt(1000)\/sqrt(8) + sqrt(5)))*-2)**2.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -4*t**5 - 112*t**4 + 1043 - 1240*t**2 + 310*t + 344*t + 309 + 596*t - 366*t - 880*t**3 = 0.\nAnswer: -13, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1020, 1081, 1140, 1197?\n\"Answer: -b**2 + 64*b + 957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kpppdpppp. What is prob of sequence kp?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, a: 2, o: 3}. What is prob of sequence oq?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -3, 14, 5, 10.\nAnswer: -17, -3, 5, 10, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6945*g + 10216*g + 8702*g to the form s*g + a and give s.\nAnswer: 11973","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 149\nAnswer: 29.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -z**5\/20 - z**4\/2 - 4*z**3\/3 - 5*z**2\/2 - 35191*z. Let x be (-2)\/(2 + (-16)\/10). Give q(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 134187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-934)\/(-3))\/((-205)\/123). Let n = 530 - 339. Let v = n + m. Find the common denominator of v and -93\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 6 = 0, f - 4*f = k. Suppose p = -2*p + 18. Let t(c) = -c**2 + 6*c + 4. Calculate the remainder when k is divided by t(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2157 and 1199.\nAnswer: 1199.2157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1457, -1529, -1615, -1709, -1805, -1897, -1979?\n\"Answer: h**3 - 13*h**2 - 40*h - 1405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2229958?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 528.06688 - 528. Round s to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4466382862 equal to 4466382862?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of 0*g**5 + 0 + 1\/24*g**6 - 11*g + 0*g**3 + 0*g**4 - 2*g**2. Let k(i) be the first derivative of o(i). Factor k(h).\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) 869 (c) -7 (d) 5 (e) 4 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -164039 and 1?\nAnswer: 164040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20320 and -983.\nAnswer: -19974560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 135065797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 73*o - 73*o + 4 - 20*o**3.\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 7:30 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 538832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 320\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2*(((sqrt(17) + 0)*-6 - sqrt(17)) + 2*sqrt(68)))**2.\nAnswer: 24*sqrt(17) + 616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*m = 174997341 - 174998685 for m.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20\/9 + 8\/(-36). Suppose -5*p = 5*n - 11000025, 3*p - n - 6600005 = -t*n. What is p rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iee when three letters picked without replacement from {e: 4, i: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68844 - 19811 = 3895*b - 13287 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (537590\/(-20))\/(-1 + (-3)\/(-6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3535 (b) -1 (c) -574\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.48 + -10. Let t = 0.22 + y. Which is the third smallest value? (a) 1\/4 (b) 1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m + 1 - 4 - 1 + 1 + m**2. List the prime factors of v(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**3 - 115*k**2 - 120*k + 113. Is i(-63) a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -14, -1, 19 in decreasing order.\nAnswer: 19, 5, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -44*q**3 + q**2 - 117*q - 459. Let j be y(-4). Which is bigger: j or 2842?\nAnswer: 2842","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*f + 47*f + 62*f)*(1 - 6 - 1) in the form r*f + u and give r.\nAnswer: -672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-3 - (-1 - 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -26\/11, 3, -4?\nAnswer: -26\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -443382*x**5 - 12*x**2 + 5551*x.\nAnswer: -26602920*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 164318310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f - 67 + 27 = -2*y, 12 = 98*f - 97*f + 2*y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -62*d. Let g be x(-3). Suppose 3*l - g = -3*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1590849+17.159\nAnswer: -1590831.841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3497132840 rounded to the nearest 1000000?\nAnswer: -3497000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006843437 rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -922618, -922638, -922658, -922678, -922698, -922718?\nAnswer: -922738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 12*p - 18. Calculate the smallest common multiple of 18 and u(15).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31.9 - 32. Which is the closest to r? (a) 2\/9 (b) 1\/5 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b - 7. Give o(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*w - 2*w - 1208 = 0, 2*w - 5930 = -5*r. Let p = 1027 + r. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13132*m**5 + 1260*m**3 + 3*m**2 + 5817*m - 49073 wrt m?\nAnswer: -262640*m**3 + 7560*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/123, -18, -2, 1, -0.05 in decreasing order.\nAnswer: 1, -2\/123, -0.05, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 840 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(21) + sqrt(336)) + -1*sqrt(21)*1)\/(-5*1*sqrt(27)).\nAnswer: 11*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 336 - 2?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j = 10*j + 225. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -132 + 139. Suppose 0 = 4*o + 3*w + 174, -197 + 67 = 3*o + 2*w. What is the units digit of o\/(-9)*90\/s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8241.\nAnswer: 3, 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -5, -3\/49, -0.5, 4, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3699 and 2466?\nAnswer: 7398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 1223?\nAnswer: -3\/1223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eleellueueeluellulle. Give prob of picking 1 e and 1 l.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3443579 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34011*c - 17010*c - 17000*c + 26 + c**2 to the form l + x*c + k*c**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 0*a + 5. Let s(i) = 3*i + 2*i + a - 4*i. Suppose 3*d = 4*u + u - 30, -5*u - 5*d = 10. Let h(k) = 2*k**2 + 5*k + 2. What is u*s(o) - h(o)?\nAnswer: -2*o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -494*(-5)\/(-45) + (-644)\/5796?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in six fifths of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b**3\/7 - 3718*b**2\/7 - 57848*b - 1560192\/7 = 0. What is b?\nAnswer: -102, -4, 3824","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3383 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119597341.\nAnswer: 1973, 60617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1\/3 (b) 2\/7 (c) 2\/9 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.3 (b) -16349 (c) 2\/9 (d) 0 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -5*f - 3, -f + 12 = 5*p - 5. Solve p = -n + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, v: 3, f: 4}. What is prob of sequence vvvf?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 71203 - -22345?\nAnswer: 113550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -7*j. Let r(c) = 16*c - 2. Calculate q(r(l)).\nAnswer: -112*l + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 38. Let f be (-6)\/12 + 21\/m. Factor -2\/3*j**4 + 0*j**2 - f*j**3 + 0 + 0*j.\nAnswer: -2*j**3*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1289*a**6 + 710*a**2 + a?\nAnswer: 154680*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-8)\/(-10))\/((-4)\/(-30)) and ((-1)\/(-2))\/((-9)\/(-108))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - d**2 + 63*d - 63*d)*(5*d - d - 2*d) + 5*d**3 - d**3 - d**3.\nAnswer: d**3 - 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1478407.3 to the nearest 1000.\nAnswer: 1478000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 14*p - 2. Let l be r(-13). Calculate the highest common factor of l and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1.2, 3, -5.\nAnswer: -5, -4, -1.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -11. Suppose -21*d = -17*d - w. Do d and 9\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 7 - 9)*(z - 2*z + 0*z)*(3 - 2 + 0)*(0 - 1 - 1)*(4 - 4 + 8*z)*(4 - 4 + 6*z) as k*z**3 + b*z + g*z**2 + q and give k.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.57 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -52, -54, -56?\n\"Answer: -2*c - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -273*-13*38\/6422?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2484)\/72)\/(-3*(4\/(-72))\/((-4)\/12))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + i - 14 - 16 = 0, 5*y + 4*i + 27 = 0. Which is the closest to 0? (a) -0.3 (b) -3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*g**2*z**2 - 143*g**2 + g*z**3 wrt z.\nAnswer: -18*g**2*z + 3*g*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8*(-21)\/(-112)*-2)\/(14\/((-12628)\/33)).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 37*d. Let u(i) = 37*i + 6. Calculate g(u(f)).\nAnswer: 1369*f + 222","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + -3 - -3) + 5. Let o(t) = 3*t. Let f(a) = 2*a. What is b*f(w) - 3*o(w)?\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**3 + 1464*a + 0*a**4 - 1503*a + 2*a**3 - 2*a**2 - 3*a**4 + a**4 to t + n*a**3 + o*a**4 + g*a + w*a**2 and give g.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30799811?\nAnswer: 7, 4399973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5*(2 + sqrt(405) + -1 + (-1 + sqrt(405) + 0 + sqrt(405) - sqrt(405))) + 2 + 4*(sqrt(405) - (sqrt(405) + sqrt(405)*-2)) + 4)**2.\nAnswer: -131256 - 1944*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 761 divide 842140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102011 + -11?\nAnswer: -102022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -16168984, -16168975, -16168964, -16168951?\n\"Answer: m**2 + 6*m - 16168991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 15*v**2 + 31*v + 13. Let f(g) = 7*g**2 + 15*g + 6. Let w(q) = 13*f(q) - 6*r(q). What is the least common multiple of 9 and w(-10)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 50*((-8)\/2 + 638\/165). Let i = g - -8. Solve 1\/3*d**3 + d**2 + 0*d - i = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f + 9. Let j be t(13). Calculate the greatest common divisor of 14 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 56\/10*9579962\/16. Let g = 3358871 - c. Let q = g - 5892. Calculate the common denominator of q and -15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56841 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 11:42 AM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 30251, 16819, 3387, -10045, -23477?\n\"Answer: -13432*v + 43683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -4*u**3 + 13559120*u**2 - 11490622007508*u + 22981189778568 = 0.\nAnswer: 2, 1694889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 g when four letters picked without replacement from gqxxqxtx.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 7*s + 4. Let f be v(5). Let m = 26 - f. Let u = -1 + 4. Calculate the greatest common divisor of u and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00758006 rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -f**2\/2 - 5*f - 1. Let h be s(-7). Suppose 0*n - p = n, -5*p = h*n. Let o(l) = l - 5. Give o(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 64741402.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 6*g**2 + 3*g - 1. Let i(m) = -5*m**2 - 2*m + 1. Let p be (-85)\/(-119)*168\/40. Determine p*r(l) + 4*i(l).\nAnswer: -2*l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4054238429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 103*k**2 + 8*k**2 - 2.\nAnswer: -95*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -23*m + 35. Let j(v) = 20*v - 34. What is 6*j(l) + 5*n(l)?\nAnswer: 5*l - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*g**3 - 36*g**3 + 75*g**3)*(-g - 3 + 3 + (-3*g - g + 2*g)*(23 + 11 - 10) - 3*g + 5*g - 3*g).\nAnswer: -2300*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**3 - 10*d**2 - 13*d + 29. What is the remainder when 260 is divided by t(5)?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.1978 + 41.1158. Let u = -40.44 + 0.44. Let i = u + j. Round i to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 801*q**3 - 220*q**2 + 91*q**2 + 129*q**2.\nAnswer: 801*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*g**3 - 258*g**3 - 119*g**3.\nAnswer: -433*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -180 + 276. Calculate the remainder when i is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*l - 50078*l**2 - 27*l**3 + 4*l + 50079*l**2 as m + d*l**3 + c*l**2 + y*l and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*r**2 - 1295 + 1356 - 7*r**2 - 9*r**2 to j*r + l + h*r**2 and give h.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s**3 + 3*s**2 + 279*s - 38. Give f(-8).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261613 is divided by 130469.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11509 - -11587. Solve 8 = 74*l - s*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5*sqrt(1029)*1 + sqrt(1029) + sqrt(1029))\/(-3*sqrt(3)*-1 + sqrt(363)*1 + sqrt(363) + sqrt(3) + sqrt(3)) + 0.\nAnswer: -3 + 49*sqrt(7)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12 and 1684.6.\nAnswer: -20215.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.46 - 0.54. Let d = -0.02 - -2.02. Let c = 0.21 + 0.39. What is the third biggest value in d, i, c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4800?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 8 + 22 = 0. Let b(u) = u**3 + u**2 + u + 9. Let h be b(0). Suppose -h*s = -5*s. Solve s = 3*z + 3 - j for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, k: 1, a: 6, r: 3}. Give prob of sequence arq.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 - 22*x + 2. Let l be c(11). Suppose l*s + 9 = 15. What is the third derivative of 13*y**3 + 11*y**2 - 13*y**s - 7*y**2 + 29*y**5 wrt y?\nAnswer: 1740*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1150*k + 6 - 2*k**2 - 6 + 1135*k - 3475*k + 1167*k.\nAnswer: -2*k**2 - 23*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120 + 1 + 10*w + 108 - 32*w + 11.\nAnswer: -22*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2287*z**3 + 4108*z + 1.\nAnswer: 13722*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 98 + -63. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24136.3 rounded to the nearest 1000?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**0)**(2\/29)\/((c\/c**(-4))\/((c\/c**(-1\/2))\/c)) assuming c is positive.\nAnswer: c**(-253\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 7*z + 10. Let h = -6 + 14. Let a be w(h). Suppose 0 = y - b - 9 + 4, -4*y = 2*b - 26. Solve -a*j + y*j = -8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 7:24 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 245, 697, 1429, 2441, 3733, 5305?\n\"Answer: 140*i**2 + 32*i + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*r - 121. What is the remainder when 279 is divided by r?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 5*i**2 + 4*i - 6. Let a be l(-6). Suppose 3*x - a*n - 115 = -2*n, 3*x = 2*n + 125. Suppose 6*z - z = x. Is 4 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -2\/251 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.7 (b) -144 (c) -1\/6 (d) -231\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -0.4 (c) 3 (d) 0.3 (e) 3\/26 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -125512 or -125579?\nAnswer: -125579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3141157, -3141142, -3141125, -3141112, -3141109, -3141122, -3141157?\n\"Answer: -q**3 + 7*q**2 + q - 3141164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 447\/12 + 6\/8. Let c(t) = 4*t**2 - 9*t + 5. Suppose 8 = 4*u - 16. Let o be c(u). Calculate the highest common divisor of o and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 2 + 7 + (-15 - 15 + 21)*(1 + 0 + 2) + 0 + 2 - 3)*(-1 - 2*u**3 + 1).\nAnswer: 36*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -9*h**2 + 20*h + 54. Let q(v) be the second derivative of -v**4\/4 + 7*v**3\/6 + 9*v**2 - 6*v - 2. Let s(w) = -4*k(w) + 11*q(w). Factor s(d).\nAnswer: 3*(d - 3)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493 is divided by 54?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 843 - 841. Solve -l*k - 6 = -v, k = -2*v + 4*k + 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 159\/10 - 79\/5. What is the second smallest value in 5, k, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(152))\/(sqrt(40)\/sqrt(5)*3).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n**3 + 8*n**2 + 2*n - 4. Let b(y) = 9*y**3 - 17*y**2 - 5*y + 8. Let u(v) = -3*b(v) - 7*r(v). What is u(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 19*r**2 + 16*r - 32. Let d be b(-18). Differentiate -10*t + 4 - 1 - d + 17 with respect to t.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 - 3*n - 26. Calculate the remainder when k(-12) is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7771944183711 and 48.\nAnswer: 7771944183759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4476 + 0.4476. Which is the nearest to x? (a) 1 (b) -0.1 (c) 2 (d) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.381 + -7.2. Round g to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -2*x + 10136, 9*d - 15216 = -3*x + 6*d. Suppose x + 754 = 14*z. List the prime factors of z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 3*o**2 - 7)*(0 + o**3 + 0) + 3*o**5 + 4*o**5 - 6*o**5.\nAnswer: 4*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*u + 329 = 94*u. Suppose 42*z - u*z - 3*x = -102080, -4*z + 5*x = -81701. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6352 divided by -6\nAnswer: -3176\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2576 and 28.\nAnswer: 2576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14375 or 14377?\nAnswer: 14375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*c = -21. Let t = c + -4. Let q = 9 - t. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -719, -1390, -2053, -2708?\n\"Answer: 4*z**2 - 683*z - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 + 170*m + 39895. Calculate d(-105).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -61*v**7\/105 - v**4\/4 - v**3 + 2*v**2 - 41*v. What is the second derivative of j(p) wrt p?\nAnswer: -1464*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-14760)\/(-315)*2\/24 and -43\/426?\nAnswer: 2982","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -0.5 (c) 17 (d) 0.074 (e) -0.04 (f) 12\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1072 - 321?\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n + 7*n = 108. Solve n*h = -h + 2*f, -2*h = -f - 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4*sqrt(209)*-1 + sqrt(209) + sqrt(209) + (sqrt(209) - (sqrt(209) - (sqrt(209)*1 + sqrt(209))*6)))\/((sqrt(891) - (-4*sqrt(891) - sqrt(891)))*-5)*1.\nAnswer: -4*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50899947 - 1135*n + 50899947)*(-2 - 2*n**2 + 2).\nAnswer: 2270*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 11*u**2 - 19*u + 203. Let w be j(11). Let q be (-8)\/((-12)\/w) + 565\/110. Which is greater: q or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000001000 - -1010111010001000?\nAnswer: 1010100010000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**6\/288 - x**5\/32 + 5*x**4\/24 - x**3 + 7*x**2. Let w(u) be the first derivative of n(u). What is j in w(j) = 0?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 55 = 5*k, 5*k = -5415*w + 5410*w - 65 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 584\/7*a + 1368\/7*a**2 + 64\/7 + 162\/7*a**3 = 0?\nAnswer: -8, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -170 - 46418*w + 46421*w - w**4 + 168 + 30*w**3 to c*w**2 + x*w**4 + o*w**3 + r + p*w and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -l**3\/3 + 9*l**2\/2 + 9*l - 23. Let o(t) = -5*t - 2 + 4*t + 1. What is 2*m(f) + 18*o(f)?\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*z = -3*r - 18, -4*z = 2*r - 18. What are the prime factors of r*(76 - (-4 + 6))?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p + 1 - 1)*(-33 + 57 + 69)*(3 + 0 - 25) in the form o*p + r and give o.\nAnswer: -4092","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - q**2 - q + 14. Let k be 0\/(2 - 3 - -3). Is h(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -6*((-1*sqrt(280))\/sqrt(7)*-5)\/((sqrt(80)*-2)\/sqrt(10) - (1*sqrt(648) + sqrt(8) + sqrt(8))))**2.\nAnswer: -300*sqrt(5)\/13 + 8725\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132)*-2 - sqrt(132)) + sqrt(132))*-1)\/(sqrt(12) - sqrt(144)\/(3*sqrt(12))).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 15*l**2 + 22*l + 29. Determine p(16).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(5 + -3) + 81500\/(-41565).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-13920)\/(-64))\/(-29))\/(20\/16)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -69.557 less than -0.7?\nAnswer: 68.857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2965 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: What is next in 486, 915, 1348, 1785?\nAnswer: 2226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*i**2 + 28*i**2 + 36*i**2.\nAnswer: 83*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 4 = -3*k. Suppose f = -4*f + f. Suppose f*b + 91 = k*b - j, -4*j - 4 = 0. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/2)\/((-61)\/61).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*f + 550 - 208 = -3*z, 2*z - 4*f + 2*f + 8 = -4*f + 3*f for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*h**4 - h**4 - 2*h**4)*(-1 + 2 + 0) - 675*h**2 + 42*h**4 + 675*h**2)*(-3 + 2 + 0)*(-1 - 3 + 3).\nAnswer: 43*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u**4\/6 - 3*u. Let i(m) be the third derivative of 0*m + 0 + 17*m**2 + 0*m**3 - 13\/12*m**4. Determine i(z(b)).\nAnswer: 52*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002379621 to 7 dps.\nAnswer: -0.0000238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 23*n**2 - 22*n + 6. Let v be l(-22). Let a(x) = -x**3 + 7*x**2 - 5*x + 6. Give a(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1157 + 1214. Which is greater: 63 or y?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-7) + (-1272)\/42. Let g = z - -89\/3. What is the smallest value in -4, -0.1, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -960, -124, 1, 2 in ascending order.\nAnswer: -960, -124, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17878640 and 8939320?\nAnswer: 17878640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34423852.\nAnswer: 2, 8605963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1385944430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1075)\/(-375) - 2938\/565) + (296\/6 - -1)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 34*x = -30*x + 18, 2*x = 4*t - 18 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/24 and -77\/16314?\nAnswer: 65256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3380 is divided by 85.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) 39 (c) -3\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mne. Give prob of sequence enm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 112 (base 3) to base 16\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2047681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**3 - 2*t**5 - t**3 + (0*t**4 - 16*t**4 + 3*t**4)*(2*t - 2 + 2) + (-3*t + 5 - 5)*(t**4 + 0*t + 0*t) + 8*t**5 - 74*t**4 + 74*t**4.\nAnswer: -23*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11114 is divided by 262?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*j**3\/7 + 86*j**2\/7 - 104*j\/7 + 24\/7.\nAnswer: -2*(j - 2)**2*(10*j - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 10 = b, -2*u + 3*b + 39 = 43 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 79\/5. Which is the nearest to -2? (a) 2\/13 (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -182807458 by -2.\nAnswer: 91403729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - -2 - -1 - 36\/9. Suppose 4*r - 20 = -z - 196, -r + h*z = 44. Calculate the remainder when 122\/3 - (r\/(-12) + -4) is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -w**3 + 2*w - 18. Let q be m(1). What are the prime factors of (-423)\/(-6)*4*q\/(-3)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 539451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1404, 1758, 2356, 3204, 4308, 5674, 7308, 9216?\nAnswer: 11404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010111110110101010010010 + 10?\nAnswer: -10010111110110101010010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a**5\/2 - 19307*a**4\/2 - 2266179*a**3 - 6740611*a**2 - 13442603*a\/2 - 4474431\/2 = 0. Calculate a.\nAnswer: -229, -1, 19539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -2. Let y be 0*(m - (-1 - -3)). Suppose l + 5*d - 14 = y, -4*l + 15 = -d + 1. Solve -l*w + 6*s = s + 4, 1 = -w + s for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 49 = -4*m, 0*h + 4*h + 4 = -4*m. Let a be ((-3)\/m + 1)*-6. Let k = 1859 + -1868. Is k at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 15\/2*r**2 - 9*r + 28. Suppose -3*x + 5*s + 33 = 0, 5*x - 2*x - 33 = -4*s. Let z(p) = 8*p - 5. Give x*z(k) - 6*i(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -98 + 98. Let d = 2798 + -2800. What is the closest to i in -3, -1\/3, d?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 + -28. Suppose -746*f + 1440 = -738*f. Suppose 0 = -18*d + 36 + f. What is the remainder when v is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 9 - (207 + -209)) + 37\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 330\/27527 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 80, 204, 398, 674?\nAnswer: 1044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.05, 30918, -13, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27236?\nAnswer: 2, 11, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7229953 + 38056\nAnswer: -7191897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-70)\/(-490))\/((-1)\/2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -342119, -684238, -1026357, -1368476, -1710595?\n\"Answer: -342119*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 45 - 42 - 20*(-1)\/87*357\/(-28)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*w - 30 = -3*r, 0 = -4*r + 3*w + 33. Suppose 4*c - 5*m = 422, -2*m - m = -r. Calculate the highest common factor of c and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-17 - -44 - 26)\/((-1)\/3). Let w(y) = y**2 - 5. Let a(c) be the first derivative of -c**3\/3 + 6*c + 1. Give t*w(s) - 4*a(s).\nAnswer: s**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -660 divided by -20?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((0 + sqrt(325) + -5 - (-1 + sqrt(325)*3))*-5 + 5)*-3.\nAnswer: -900*sqrt(13) - 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.9476207 years?\nAnswer: 0.0009476207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -60656445 and -0.6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d**3 - 29*d**2 - 38*d + 19. What is p(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 + 102*n**2 + 143*n**5 - 116*n**3 - 103*n**3 - 1244 - 284*n**5 + 138*n**5 + 924*n + 48*n**4 = 0. What is n?\nAnswer: -2, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 917 a factor of 7711053?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(1*sqrt(225)) + 0.\nAnswer: sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 532650411?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*c + 157 = 5*w, c = -w + 51. Let u be c - (-2 - 0) - 3. What is the highest common factor of u and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-4)\/16)\/(35\/728) and 16\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/18 + 2\/(-3). Let u = -11 - -8. What is the nearest to u in 5\/4, v, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 144, 55, 0 in ascending order.\nAnswer: 0, 4, 55, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pop when three letters picked without replacement from pxpvvxxxpmxxpxpxop.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4623 and 10039615.\nAnswer: 1541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -220450.\nAnswer: -1\/44090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/133)\/(((-2)\/2)\/1)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 117732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -2. Let t = 2 + -4.2. Let f = 1.8 + t. Sort u, f, -0.5.\nAnswer: u, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -642847720*n**3 - 9*n + 4011337 wrt n.\nAnswer: -3857086320*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 3*t**2 + 4*t + 4. Let n be i(4). Suppose 5*d = 2*s - s - 13, -d - 11 = n*s. Let g = -33 - -38. Sort -5, g, d in descending order.\nAnswer: g, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 5*j + 1. Let i be c(1). Let q be ((-2)\/(-4))\/(22\/44). Suppose i = t - q. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 0.2, 0.5, -4\/5, 5, -1, -32 in ascending order.\nAnswer: -32, -1, -4\/5, 0.2, 0.5, 5, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*m = -8*m - 690. Calculate the least common multiple of 30 and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4052888 to the nearest integer?\nAnswer: 2013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, z: 2, x: 4}. What is prob of picking 1 c, 2 x, and 1 z?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 260 or 799?\nAnswer: 799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 1. Let p(x) = x - 7. Let k(s) = -6*g(s) - p(s). Let b be k(-3). Solve 4 = -4*t - b for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -170 + 222. What is the remainder when x is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3292 minus 476?\nAnswer: 2816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.29 and -81193.\nAnswer: 23545.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 99*l. Let r(o) = 2*o**2 + 8*o. Let c(p) = -p**2 - 2*p. Let i(x) = -4*c(x) - r(x). What is d(i(s))?\nAnswer: 198*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - -1731524806?\nAnswer: 1731524816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 174*g**2.\nAnswer: -174*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from huunhunuuquuquunuhu. What is prob of picking 1 u and 2 q?\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -193222 and -502597420.\nAnswer: -502790642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -200.79 + 203. Let u = x + -0.11. Let w = u + -2.09928. What is w rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.631 + 52.231. Let j = 52 - k. Which is the second smallest value? (a) j (b) 2\/9 (c) -5 (d) 76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33442447 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11048289?\nAnswer: 3, 7, 101, 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4922137*t + 5070 = 4921968*t for t.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8806*k - 695 + 2199*k + 2205*k + 2198*k + 2205*k.\nAnswer: k - 695","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -83 - 6103?\nAnswer: -6186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 (base 14) in base 2?\nAnswer: -1001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (83\/(-3))\/((-17)\/(-51)). Let v = -82 - a. Suppose -v = 6*l + 53. Is -7 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of 65*z**4\/6 + 64*z**3\/3 + z**2\/2 + 148*z - 1. Find the second derivative of g(s) wrt s.\nAnswer: 260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*b + 4*m = -28, 0 = 2*b + 4*m - 8. Let w = b + -34\/3. Which is smaller: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 51 in 0.49, -2\/7, -1?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1120022121122100 - -1?\nAnswer: -1120022121122022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 8:13 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -263.\nAnswer: 4\/263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.26*0.4.\nAnswer: -0.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 200\/3 in 61, 2\/5, 6, -0.6, -0.3, 0.1?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 52590762 = 52590763?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 5*n - 1. Let x be j(2). Suppose -2*t - 4*l + 23 = t, -x*l = -10. Suppose o - 126 = -t*i, -7*o = -3*o - 3*i - 573. Is 14 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 382 - 388. Which is smaller: -29\/5 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - h = 162 - 158, -2*b = h + 7 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 252*y - 274. What are the prime factors of i(7)?\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*w + 215 - 215 to j + c*w and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*u - 282*u**3 + 285*u**3 + 103*u.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 8, u: 2}. What is prob of sequence uggg?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 3*p**2 + 2*p + 8. Determine a(5).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, t: 8, j: 4, f: 1, g: 3}. Give prob of sequence tkj.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.052450720561 + 0.\nAnswer: -0.052450720561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.61 times 50.27\nAnswer: -30.6647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4 + 550*j**3 + 552*j**2 - 550*j - 551.\nAnswer: -(j - 551)*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 106\/49?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -322*c*i**2 + c*i - 196*c wrt i?\nAnswer: -644*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -164*z - 126*z - z**2 + 32 + 323*z. Determine x(34).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -66652*z**3 + 66652*z**3 + 3*z**2 - 4*z**4 - 131*z in the form x*z**2 + i*z + n*z**4 + v + j*z**3 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-9)\/(-2)) - (-600)\/(-27). Let c = -24 - d. What is the lowest common multiple of c + (-9)\/(-3) - (-4 - -2) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 255*q - 256*q - 6 + 0 to the form s + v*q and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -21*d**3 + d**2 - 2*d + 1. Give k(1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*y + 15 = 0, -y = 2*y - 3. Calculate the lowest common multiple of 8 and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2096*b**3*t - b**3 + 73*b**2 - 53568*b*t**2 + 452475 wrt t?\nAnswer: -2096*b**3 - 107136*b*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 22*f - 5. Calculate the remainder when 88 is divided by h(21).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10434 + -55704281487?\nAnswer: -55704291921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 + -10. Let l = 16 - b. Sort 2\/5, l, 0.2.\nAnswer: l, 0.2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -24. What is the greatest common divisor of x and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49)\/((-441)\/72)*(-1)\/(-4)*3\/(-75)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 154 and 23760.\nAnswer: 166320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**3\/4 + 37*r**2 - 3113*r\/4 + 2505 = 0. What is r?\nAnswer: -167, 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/(-6)*(-1 - (-584)\/(-784)) and 6\/(-3)*111\/126.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 36 = -r. Suppose 2 = 3*w - 2*w. Suppose -w*k + 3*k - 6 = 0. Is k <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -44 - (-15 + 2 + 5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 + -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 - 505*t**2 - 2080*t - 2100.\nAnswer: 5*(t - 105)*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - 50115?\nAnswer: -50124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 83643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 8*h - 8*h + 17*h = 6*h + 236, 0 = 3*b - 3*h - 138 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -723126 divided by 6?\nAnswer: -120521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -683, -1358, -2031, -2702?\n\"Answer: u**2 - 678*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 941 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4368 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8395 - -8395.000023785. Round o to six decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h*h*h**(-5)*h)\/(h*h\/(h**(2\/57)*h)) assuming h is positive.\nAnswer: h**(-55\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p**3 + 1090*p**4 + 1079*p**4 + 70*p - 2167*p**4 to the form d*p + g*p**2 + l*p**4 + m*p**3 + n and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 3*i + 15, b - 20 = -14*i + 18*i. Is b <= 8\/601?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 16 + 2*n**3 - 8*n**3.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 >= 225461\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*n**3 + 1 + 7 - 3.\nAnswer: -173*n**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 2.018?\nAnswer: 0.2018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (2*sqrt(117) - sqrt(117) - sqrt(117)) + 0)**2 + (sqrt(78) - -2*sqrt(78)*1)\/(-1*sqrt(54)).\nAnswer: -sqrt(13) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by -35?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(0 + -1) + 2. Let h be y\/(-4) + (-1)\/(-2). Let m be 186\/(-1395) + ((-276)\/(-45))\/(-4). Which is the closest to 1\/2? (a) m (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 6*u**2 + 4*u - 6. Let p be o(-5). Let t = 1.8 + -2. Let j = 0.3 + t. What is the closest to p in 2, 0.5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.05299675 - -0.053. Round g to seven decimal places.\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 93219 and 116738559?\nAnswer: 4053","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -648*x**4 - 1208*x**4 - 1616*x - 1029*x + 149*x**4 wrt x?\nAnswer: -20484*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + m. Let a(k) be the second derivative of -k + 1\/3*k**3 + 3\/2*k**2 + m. Give a(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 220865.83 - -8.\nAnswer: 220873.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201049 is divided by 16715.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 324377 - 678477. Round b to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 13. Let r be (3 + -1 + -12)\/w. Find the second derivative of 0*f**3 - 4*f**3 - 3*f + r*f wrt f.\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s**3 - 52*s**2 - 5493*s + 67. What is y(-35)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*w**3 - 28*w**3 - 12*w**3 + (30*w + 7*w**2 - 30*w)*(0*w + w + 2*w).\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 26 + 2 = 0. Let c(m) = 7*m + 3. Let n(w) = 8*w + 2. Let p(o) = 7*c(o) - 6*n(o). What is the units digit of p(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from nnlnnzbbblbnbbnbn.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 2246?\nAnswer: 11230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -613, -647, -731, -895, -1169, -1583, -2167, -2951?\nAnswer: -3965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -301 - -301. Suppose 25 = 5*a - t*a. Solve 2*z + 2*z - a*g = 7, -3*g = -z + 7 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y - 18 = -17*y. Let p(k) be the second derivative of -1\/20*k**5 - 2*k**2 + 0 + 1\/4*k**4 - y*k + 0*k**3. Let p(w) = 0. Calculate w.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -8604 and -115046.\nAnswer: -123650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -4726 + 3595*w + 4887*w + 9449 - 4723 as i*w + k and give i.\nAnswer: 8482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 420, 229, 38, -153?\nAnswer: -344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.495 - -0.576. What is f rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 10*r = -40. Suppose z - 3*k + 1 + 7 = 0, -4*z + 20 = k. What is the highest common divisor of r and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121575695?\nAnswer: 5, 59, 263, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(6\/4))\/1. Let n = q - 5. Let a = 4 - 6. Sort -3\/4, n, a.\nAnswer: n, a, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -43*z**2\/2 + z - 2. Let f be -4 + (-6)\/(-2) + 0. Is 13 a factor of r(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -259906.4 to the nearest 1000.\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -213 - -218. Solve 0 = -0*o + h*o + 5*w + 10, -4*w - 22 = -3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjg when three letters picked without replacement from {e: 1, j: 3, o: 6, g: 4, z: 1, v: 3}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 10:35 AM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-3)*r)\/(r**(-1\/24)*r))\/(r**(-17)*r**(4\/7)*r) assuming r is positive.\nAnswer: r**(3271\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-4)\/p**(16\/3)*p**(-19)*(p**(-2\/3)\/p)\/p assuming p is positive.\nAnswer: p**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.47, 4, 668, 5, 1\/3, 7\/2?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/10 - (4 - 42\/(-30)). What is the third biggest value in 2, -1, i, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/26 - (-86)\/559.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -78888 and -0.19.\nAnswer: 14988.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 3*n**2 + 4*n - 2. Let l be u(2). Let a(w) = 3*w - w**l - 4*w + 3 + 3*w. Let x be a(-2). Is x bigger than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -129712, -258495, -387278, -516061, -644844?\n\"Answer: -128783*t - 929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 0*z - 3*z)*(-11 + 4 - 5)*(2 + 3 - 4).\nAnswer: 60*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b0 - 4?\nAnswer: 1a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**2 - 4*b**2 + 7*b**2)*(2*b + 0*b - 3*b).\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 35*m**3 + 4024*m**2 - 124*m - 1733. Calculate w(-115).\nAnswer: -698","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.2 + 7. Let t = -9 + 28\/3. What is the nearest to 0.2 in t, -0.3, w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 554331545 = -13*o - 53418455. What is o rounded to the nearest 1000000?\nAnswer: -47000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13912053?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 1791936 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006841 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**4 - 2*u**4 + 3*u**4)*((-4*u + 3*u + 0*u)*(2 - 2 - 2) - 2*u + u + 0*u - 5*u + 3*u + 0*u) + (-2*u**4 + 4*u**2 - 4*u**2)*(2 - 2 + 2*u).\nAnswer: -7*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 50*p**2 - 7*p - 348. Let v be f(-50). Solve 5*r - v*q + 3*q = -12, 5*q = 3*r + 24 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 10 = -4*u - 0*m, 2*u - 4*m = 10. Let j(l) be the first derivative of -l**4\/2 - l**3\/3 - 7063. Determine j(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 - 73\/(-3 + (-15)\/(-6)).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -80*l**2 - 55*l - 55. Let n(y) = -3*y**2 - 2*y - 2. Determine -4*j(v) + 110*n(v).\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x + 38*x**2 - 101*x**2 + 2*x - 4 + 29*x**2 + 37*x**2. Determine l(4).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -317 (base 14) in base 5?\nAnswer: -4414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f + 7. Let v be m(-5). Suppose -2*o = b - 15, -2*b + 3*b = 3*o - 10. Solve o*p + 23 = -v for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.06 - -0.01. Let q = m - 0.95. Which is the biggest value? (a) 3 (b) q (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -80\/9*f**2 + 2\/9*f**5 + 50\/9*f + 20\/3*f**3 - 4\/3 - 20\/9*f**4.\nAnswer: 2*(f - 6)*(f - 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36550052 - -0.062222\nAnswer: -36550051.937778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 2)*(2*c + 3*c - 7*c).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/9)*x)\/x**(-4\/5))**(3\/13) assuming x is positive.\nAnswer: x**(86\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 47\/5. What is the common denominator of z and -87\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -624, -8, -6 in increasing order.\nAnswer: -624, -8, -6, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2*1*sqrt(128) + 1 + sqrt(128) + sqrt(128) + 1 + sqrt(128) + (sqrt(128)*2 + sqrt(128) + sqrt(128))*1 + sqrt(128) + 0 + sqrt(128) + 3)**2*-1*2.\nAnswer: 7040*sqrt(2) + 124104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4494*o**2 - 29*o - 74. Is b(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 63*l + 32156698 - 32154178 for l.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-78)*(-66)\/11?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 6*b**2 + 4*b + 1. Calculate v(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x = 5*x - 6, x - 1 = -4*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 11:38 AM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a millennium in decades?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 568.3 - 92287.20015.\nAnswer: -91718.90015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -105 - 150. Let v be 2\/10 + (-119)\/g. Put -3, v, -0.4, -1 in decreasing order.\nAnswer: v, -0.4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (105*u - 105*u + 6*u**2)*(-3*u**2 + 2 - 16*u + 17*u + u**2) as z*u + j*u**3 + w*u**2 + x*u**4 + o and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*x = -21*x - 2*c - 1186, x - 593 = 5*c. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/64 and 77\/26256.\nAnswer: 105024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 5*c**2 - 6*c - 2. Let t be n(-5). Find the common denominator of -85\/182 and (-46)\/40 - t\/70.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1368018.\nAnswer: 2, 3, 76001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f + 0 + 1 + 0. Let u be m(-3). Let s(w) = -3*w - 14. Let d be s(-5). Solve -z - u = -d for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 6*j + 4*t - 76, -4*j + 2*t = 98. Let x = 26 + j. Let l(i) = 8 + 1 - 7*i - i**x + 2*i**2 - 5. Give l(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*o - 10 = -a, 0 = -4*o - 16. Let j(p) = -7*p**2 + 6*p**a - p**2. Let f(h) = -h. Calculate f(j(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -984 - -923. Is -21 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/19, 11.2, 0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35 in -0.07, -2, -2\/3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -218698662 divided by 13.\nAnswer: -16822974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 0) + -3 - -3. Suppose 21 = y*u - 31. Suppose 6*l = u*l - 4487. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - -32 - 20) + (-3 - -5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + p + 12 = 3*p, 5*a + 45 = -5*p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251525871.\nAnswer: 3, 1721, 5413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 2*f - 5*b, -4*f - 2*b + 3 - 17 = 0. Let o be ((-64)\/(-12))\/4 - (-35)\/(-105). Suppose 2*p - p = 7. Sort f, p, o in ascending order.\nAnswer: f, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**4\/12 - a**3\/3 - a**2\/2 - 10*a. Let y be o(3). Let i(q) = 1 + 1 + q**3 + 7*q**y - 7*q - 2*q**3 - q**2. What is i(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 59*i - 21. Determine a(2).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -38*q - 1251. Let n be m(-33). Solve -23*i + n*b = -28*i - 15, -4*i = 2*b + 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15 + 11 + 0)\/(4\/(-5)). Which is the nearest to -3? (a) h (b) -0.1 (c) -3 (d) -3\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 57 (b) -0.9 (c) 0.1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*q - 39*q + 100 = 0. Suppose -14*i - q = -19*i. What is the lowest common multiple of (-468)\/(-21) + 2\/(-7) and i?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3176, 94, -4, -1 in increasing order.\nAnswer: -3176, -4, -1, 5, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -0.4 (c) -1408\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c - 1. Let v(r) = 190*r - 228. Let f(n) = -v(n) + 228*x(n). Let g(h) = -h**2. Determine f(g(o)).\nAnswer: -38*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 549525 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: -1 - 180455\nAnswer: -180456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**2 + n**2 + n**5 + (-2 - 3 + 4)*(5*n**4 + 5*n**5 - 5*n**4).\nAnswer: -4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 357448?\nAnswer: 357448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1543, -3120, -4697, -6274, -7851?\nAnswer: -9428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-7))\/(v*v*v*v*(v**(-3\/8)*v)\/v*v)*(v**1)**(3\/7))**(-26) assuming v is positive.\nAnswer: v**(-2769\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*f + 25 + 20 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/12 and 35016\/(-2528) - -4 - -10?\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 20 = -5*k, 3*k = -3*b - b + 16. Solve -2*c + 3 = z - 2, 0 = b*z - 4*c + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 7:08 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 p when two letters picked without replacement from pjjjqqfjqq?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 1:35 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322240798 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -60 (b) -0.5 (c) -0.04 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 1. Let w = y - -4. Which is the smallest value? (a) -3 (b) -2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 28. What is the first derivative of -9*r**4 + t + 10*r**3 - 10*r**3 wrt r?\nAnswer: -36*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 b when two letters picked without replacement from rannb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + g + 10 - 2 = 0, v = -g - 3. Let i(a) = -8*a**3 + 0 - 9 + 5*a + a**3 + 4. Let k(p) = -4*p**3 + 3*p - 3. Give v*k(o) + 3*i(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -148 - -147. Let y(a) = a**2 - a + 3. Let v be y(0). Let m be (-8 + -2)*v\/6. Sort m, 4, k in descending order.\nAnswer: 4, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4 - 2. Suppose -c = -3*y - 0. Let q = -9 + 9. Solve q*o - 3*o + x + 17 = 0, y*o - 18 = 2*x for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45.4 + 45.3999349. What is b rounded to 6 decimal places?\nAnswer: -0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 3 + 0*t**2 + 0*t + 1\/3*t**3. Let q(k) = -8*k**2. Calculate q(u(a)).\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*s + 1184925 = 1185265 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -29*q**4\/2 + 10*q**2 + 139. What is the second derivative of y(n) wrt n?\nAnswer: -348*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-44)\/(-6)*33\/22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.03, 1, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -5213.\nAnswer: 7\/5213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/244156 and -143\/33294.\nAnswer: 732468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(95)*-1 + (-5*(sqrt(95) + sqrt(95) + sqrt(95)*-5) + sqrt(95) - sqrt(95) - sqrt(95)) + sqrt(95))\/((sqrt(720) - 5*-5*sqrt(720))*-1).\nAnswer: -17*sqrt(19)\/312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1570228, -1570190, -1570146, -1570096, -1570040, -1569978?\nAnswer: -1569910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 28 - (17 - (-37 - -53))) + -8\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 a when three letters picked without replacement from {p: 5, a: 9}.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (172 + -172)\/(2*2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20322*n + 20322*n + 4*n**2 - 3*n**3.\nAnswer: -3*n**3 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 22 = 68. Let v be (-5)\/(-23)*(-6)\/u. Which is greater: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((144\/36)\/((-18)\/2))\/((-14)\/252)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -200044353 divided by -844069?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 9752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13, -152, -543, -1312, -2585, -4488?\n\"Answer: -21*v**3 + 8*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 6:58 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - y - 489 = -6550, 3*a - 18191 = -y. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -1 + (-15 - -26 - 13) + 4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2661938 to the nearest integer?\nAnswer: 1632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*r - 24 = -7*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {z: 6, j: 12}?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xb when two letters picked without replacement from ixbbiblbiixbb.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3*g + 24, f + 3*f = 12. Suppose 0 = t - g + 9. Let k be (30 + -31)\/(t\/(-4)*-1). Which is smaller: k or 16?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.163 times 43?\nAnswer: 7.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4793101.\nAnswer: 59, 81239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 161221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -584526.\nAnswer: -584525.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -307758 (base 13) to base 2.\nAnswer: -100010100000000010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a meter in millimeters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*l + 474 = -10180, -4*g + 2*l = -42640. What are the prime factors of g?\nAnswer: 2, 3, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*n**4*z - 46*n**4 - 2*n**3*z + 4*n**3 - 10*n**2*z - 1032*n*z + 1 wrt n?\nAnswer: -144*n*z - 1104*n - 12*z + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02241473105 to 3 dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58 and 20068.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 4*a**2 + 2*a + 3. Calculate s(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -12, -68, -218, -510, -992, -1712, -2718, -4058?\n\"Answer: -8*k**3 + k**2 - 3*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 322539.172 + 0.2?\nAnswer: 322539.372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.7 - 4. Let r be 1 - (-1 - (1 - 0)). Let u(z) = z - 7. Let t be u(11). Which is the third smallest value? (a) r (b) t (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) + -1*sqrt(91)*2 - sqrt(91)) + sqrt(91) + sqrt(91))\/sqrt(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from efjkc. What is prob of sequence fc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lehhjcechse. What is prob of sequence hcj?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -91 - -52. Let q(o) = 7*o**2 - 3*o - 1. Let w be q(4). Let d = w + y. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 17699.2129929 and 0.055.\nAnswer: 17699.2679929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 4.2, -3 in increasing order.\nAnswer: -3, 2\/3, 4.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -951, -2220, -4335, -7296, -11103?\nAnswer: -15756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-65*(-10)\/(-175))\/(6\/(-5 + -247)).\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b7 - 61?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 256071?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 28561*o**4\/42 - 676*o**3\/21 + 4*o**2\/7 - 95*o + 15. Let i(b) be the first derivative of z(b). Factor i(k).\nAnswer: 2*(169*k - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -101330758 by 3.\nAnswer: -101330758\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.394 - 4.394. Which is the nearest to 1? (a) 24 (b) 3 (c) -0.6 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4*36\/(-24)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 71 = 38. Let q be i - ((-4)\/(-1) - 3). Suppose 3*s = 2*k - q, 292 = 6*k - k - 2*s. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 84. Let b(x) be the third derivative of 7*x**4\/12 + 5*x**2 + 135. What is z(b(s))?\nAnswer: -196*s**2 + 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w**3 - 2*w**3 + 6*w**3)*(32 - 48 - 49) as s*w + x + z*w**2 + v*w**3 and give v.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35075 is divided by 8748.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 - (0 + 1768\/20). Let d = k + 84. Sort 2\/7, 2\/19, d, -1\/4 in descending order.\nAnswer: d, 2\/7, 2\/19, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (154\/(-121))\/(10\/(-110)). Let m(h) = -h**2 + h - 4. Let b be m(0). Let r be t\/b*2 + 12\/3. Is r at most as big as -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**2 + 3*w - 9. Give s(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1113 and 810453.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -719*b**5*u - 7*b**5 + 2*b**2*u - 7606*b**2 wrt b.\nAnswer: -43140*b**2*u - 420*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1381 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2137852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -60, -8, 15, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*g = -17*g + 36. Which is the smallest value? (a) g (b) 14.1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 8*b**2 - b - 1. Suppose 4*v + 0*v = -4. Let k be d(v). Suppose 4*u - 36 = -k. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 27899831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 6861 - 1684 = 0. Suppose -2*p = -4*d - 858, d = 4*p - 0*d - s. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 613.71, 2\/3, -160?\nAnswer: 613.71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*g + 59*g - 203 = 0. What is the remainder when 67 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61891\/2 + -30946. Let y be 2\/7 + (-1)\/(-21). What is the smallest value in -3, y, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (150 - 141) + (3 - (-4 - 17))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 5*m + 3. Let p be k(-5). Suppose -p*f = -4*f + 7. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -1 - (-11 + 28 + 2 + -2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*b - 29 = b, 107 = 4*w + 5*b. What is the remainder when -4 + (-2)\/(-2) + w is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2045532081589459\/59684244568 + 1\/1269877544. Let z = f + 34273. Calculate the common denominator of z and 59\/22.\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -13 + (0 - 0) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44286, -90763, -137242, -183723?\nAnswer: -230206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t - 47*t**3 - 10*t**3 + 5*t - 22302070*t**2 + 22302070*t**2.\nAnswer: -57*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 301 - 3309\/11. Which is the nearest to 0? (a) 2 (b) x (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 3 - (-12)\/(-6). Solve -4*i + 3*z + 21 = g, 3*i - 2*z - 24 = 3*z for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 4598 + 44*c + 2\/19*c**2 = 0.\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87, 238, 451, 726?\nAnswer: 1063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a decade in years?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/10)\/(2\/(-5)). Is (-39)\/(-26)*(-116)\/w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -14. Let j = -3.96 + d. What is j rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, 1\/3, 3, -2\/15 in descending order.\nAnswer: 3, 1\/3, -1\/9, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1*(sqrt(5) - (2 + sqrt(20)\/sqrt(4))))*1 + ((2 + -1 + sqrt(605))*-1*5)**2.\nAnswer: 550*sqrt(5) + 15156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 122596092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-9\/4)\/u*u**(-12\/11)*(u**(-4))**(-30) assuming u is positive.\nAnswer: u**(5089\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -l**4\/15 - 16732*l**3\/15 - 34994978*l**2\/5 + 13901*l. Find u, given that o(u) = 0.\nAnswer: -4183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*j - 1325 = 73*j + 244*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4)*-2 - sqrt(4))\/sqrt(2) - sqrt(1800)) + sqrt(12)\/(sqrt(6) + sqrt(60)\/sqrt(250)) + 1.\nAnswer: -193*sqrt(2)\/6 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/20 in 0.5, 2, 1, -223.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/5 + 0 - 33\/(-15). Suppose -n*s - 5 = 1. Put -4, -1, s in descending order.\nAnswer: -1, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22114 smaller than -486507\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 32 = -2*a - 5, 8*a - 71*l = -67*l - 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3255938 (base 10) to base 6\nAnswer: 153441442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1623173001 to the nearest integer?\nAnswer: 1175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -28, -103, -228, -403, -628, -903, -1228?\n\"Answer: -25*t**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62595, -250380, -563355, -1001520, -1564875, -2253420, -3067155?\nAnswer: -4006080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 5*w**2 + 12427630*w + 7722299370845 = 0.\nAnswer: -1242763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, 0.5, -4\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 421878 (base 9) to base 15\nAnswer: 4e47b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5427)\/207)\/(-9) + (-4)\/(-46). Suppose 6 - 21 = -z. Solve -o + 3*c - 7*c - 20 = 0, o - u*c = z for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*h**3 - 9*h + 18*h**3 - 14*h**3 + 9*h.\nAnswer: 33*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 106.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 455\/(-2366)*(-8)\/10.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 980 divided by 28\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 189 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/98*259\/111.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 + 39.8. Let l = 1.1 + -6.1. Let m = y + l. Is 0.2 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 * 1588\nAnswer: 52404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -2*k**7\/105 + k**5\/60 - 3*k**2\/2 - 4. Let h(y) be the second derivative of o(y). What is the third derivative of h(c) wrt c?\nAnswer: -96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 169216, 338401, 507552, 676669, 845752?\nAnswer: 1014801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 25\/2 of a millisecond?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-44 + 7)\/(3\/(-3)) is divided by (3 - -16) + (0 - 0).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495) - (sqrt(495) - 4*1*sqrt(495)) - sqrt(495))\/(-2*sqrt(99)) + 1.\nAnswer: -3*sqrt(5)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -475*u**2 + 470*u**2 + 193*u**3 + 6161*u**3.\nAnswer: 6354*u**3 - 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 85205 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-2) - (74\/(-14) + 5). What is the closest to u in -2308, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45293199 to the power of 1\/3, to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52210?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8745.67727 - 8746. Let s = -0.60947 - v. Let x = s + 0.29. What is x rounded to 4 decimal places?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/49)\/((-16)\/112))\/((-2)\/(-14))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 + 63*k - 28. Let l be a(-32). Put l, 3, 0 in decreasing order.\nAnswer: l, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - (-17 + -18)) + -13.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 272, 617, 1102, 1727, 2492?\nAnswer: 3397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 58 and 416\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 9*q**2 - 48*q + 115. Let i be a(20). Calculate the highest common divisor of i and 290.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6240.0001022 - 6240. What is m rounded to 6 decimal places?\nAnswer: 0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2))**(-2\/61)\/(y**(-1)\/((y*y\/(y*(((y**(2\/27)*y)\/y)\/y)\/y))\/y)) assuming y is positive.\nAnswer: y**(4927\/1647)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1245*x - 2493*x + 1231*x.\nAnswer: -17*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -94*a + 1582 - 5060 for a.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4174.289 decades to centuries.\nAnswer: 417.4289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -121284 rounded to the nearest one thousand?\nAnswer: -121000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 2. Let n(c) = 68*c**2 + c + 10. What is n(x) - 4*s(x)?\nAnswer: 64*x**2 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7612 = -4*q + 4864. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 3*n**2 + 7. Let z be h(-5). Suppose 4*b - k + 4*k - z = 0, -2*k = 5*b - 73. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115, -218, -325, -436, -551, -670?\nAnswer: -793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - d39?\nAnswer: -d34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 108 = -12*t. Let f be -14*(-5 + 36\/t). Let m(n) = n**3 - 8*n**2 + 5*n + 4. Calculate m(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(19) - ((sqrt(19) + (sqrt(304) + 5 - sqrt(19)))**2 - sqrt(19)))*5 + (-1*sqrt(76)*4 - (sqrt(76) + (1 + sqrt(76))*-3))**2.\nAnswer: -2977 - 404*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34.2*-3.\nAnswer: -102.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, d: 1, m: 3, g: 1, y: 1, h: 1}. What is prob of picking 1 h and 2 u?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 62*m**2 - 56*m - 151. What is g(-3)?\nAnswer: 575","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -411 = -4*i + 21. Suppose -4*j - 3 = -d - 1, 4*d - i = -4*j. What is the smallest common multiple of d and (1113\/53 - 16\/2) + -1?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -4 - 1) + 6 - 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 468004463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 5 = -3*o + 2*v, -2*o - 5*v - 11 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4556 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000 + -111001111?\nAnswer: -110111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 5*f + 58. Let b be m(-28). Let l = b - 485. Is 31 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -9*t + 15*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6816*t**5 + 7*t**4 + 2*t**2 - 207802*t wrt t?\nAnswer: 136320*t**3 + 84*t**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-10)*570\/(-456)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, o: 2, f: 13}. What is prob of sequence mff?\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*n**4 - 5*n**4 + 12*n**4)*(2 - 4 + 1 + (4 - 3 - 2)*(2 - 5 + 1) + 3 + 1 - 2 + 56 - 47 - 45) to w + b*n**4 + u*n + z*n**2 + l*n**3 and give b.\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.551853 kilometers to nanometers.\nAnswer: 1551853000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n + 4. Let i(y) = y - 9. Let f be i(11). Suppose f*q - o + 10 = q, 0 = o + 3. Let v be (-8)\/(-52) + (-102)\/q. Give p(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.1 (b) -1 (c) 19.138716\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/10)\/(14\/(169400\/(-363)))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51 + -92. Suppose 3*a + 3*a = 678. Calculate the remainder when a is divided by 15\/6 + b\/(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -9*v + 24. Let r(x) = -4*x - 3. Let j(z) = -z. Let l(m) = 20*j(m) - 4*r(m). Let s(i) = 4*a(i) - 7*l(i). Differentiate s(f) with respect to f.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110111 (base 2) to base 9.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**3\/11 + 12750*q**2 - 490836*q\/11 + 350590\/11 = 0.\nAnswer: 1, 5\/2, 35059","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 209, 191, 161, 119?\n\"Answer: -6*k**2 + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j - 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -716143*y**3 + 2194568*y wrt y.\nAnswer: -4296858*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.6 + 2.5942. Round y to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (-38 - (-21 + (-3 - -5))) - (-13 + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-6))\/(1\/(-6)). Solve 0 = -0*v - v + q*w + 10, -4*v - 10 = -2*w for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -m**6\/60 + 2*m**5\/15 - 63*m**2 - 5*m - 10. Let o(v) be the first derivative of k(v). Factor o(g).\nAnswer: -2*g**2*(g - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k - k - 3*k)*(5*k - 4*k + k) - 5*k**2 + 0*k**2 + 4*k**2 + (-1 - k + 1)*(k - 3*k + k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 10*s + 2 + 8*s - 3*s**2 + 3*s**3. Let z(p) = 21*p**3 - 15*p**2 - 15*p + 15. Let q be (-3 - -2 - 1) + 4. Determine q*z(w) - 15*m(w).\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1368 is divided by 506.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 121*d**5 - 344*d**5 + 115*d**5 + 13*d**4 + 8*d**2 - 16*d**3 + 111*d**5 - 3 wrt d.\nAnswer: 180*d**2 + 312*d - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bqll when four letters picked without replacement from eefleqllbrflelfl?\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 divided by 5?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4 + -5*(3*-1*sqrt(637) + sqrt(637) + -2*sqrt(637) + 5))**2.\nAnswer: -5880*sqrt(13) + 255237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65 + 91. Let b be 2\/((-3)\/(-108)*6). Calculate the greatest common divisor of b and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1207 is divided by 133?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qs when two letters picked without replacement from {s: 2, g: 1, q: 1, x: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 6 = 3*r, -10*v = -14*v + 3*r for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 341023 - -1?\nAnswer: 341024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 6*k**2 + 2*k + 25. Is 2 a factor of r(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1427857 = r - 3*b - 2112143, 2*r + b = 7080000. Round r to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 15 = 3*b + 4*c, -5*b = 5*c + 20. Suppose -35 = -3*r - 26. Suppose -153 = -b*z - r*z. Does 18 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4448754346?\nAnswer: 2, 23, 281, 344171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36686 - -41700. List the prime factors of l.\nAnswer: 2, 7, 11, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1245 and 3585.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011022 - 10?\nAnswer: -1011102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*j**2 - j**2 + 2*j**2 + (2*j + 0*j + 5*j)*(101*j - 1909 + 1909) + (j**2 + 2*j**2 - 2*j**2)*(-4 - 3 + 5) as n + u*j**2 + f*j and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7126060619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36770 + -32238. What is the remainder when d is divided by 52?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 303135 = 18*z - 12*z. What is the ten thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(1944\/90)*2\/(-10)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1831 + 3668 + 3201*x**3 - 1172*x**3 - 1837.\nAnswer: 2029*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2062, -4117, -6160, -8191, -10210?\n\"Answer: 6*b**2 - 2073*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1040891410 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 + -13.4. Let g = z - -13.3. Which is the closest to 0? (a) 1 (b) g (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/3736*(58 - 2). Let z = 264752\/4203 + a. Let t = -63 + z. Is t smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -4*s - 23. Let x(z) = 42*z + 120. Let h be x(-3). Calculate j(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*b - 10*b - 29*b + (5 + 0 - 4)*(-10 + 5*b + 10))*(-9 - 2*b + 9).\nAnswer: 54*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2887 - -20306?\nAnswer: 23304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (425454\/(-12332))\/((-4)\/(-14 - 2))?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 21*d**5 - 5*d**4 + 60*d**2 - 6*d. Let j(f) = -2*f**2 + f. Let z(a) = -6*j(a) - k(a). What is the third derivative of z(p) wrt p?\nAnswer: -1260*p**2 + 120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 0 - (12 - (-5 - -8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 112*v + 291 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*p = -0*g - 261, p - 486 = -2*g. Let y = -349 + 201. Let c = y + g. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 32510115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1603 not equal to 1602?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 96137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 6 = 6*h. Let q(b) = 559*b**2 - 3*b - 8. Let t be q(h). Suppose -4*a + t = 3*y + 401, -2*y = -2. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33107, 66208, 99305, 132398, 165487, 198572?\nAnswer: 231653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b = -10*b + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of m**6\/100 + 13*m**5\/5 - 533*m**4\/20 + 402*m**3\/5 - 906*m**2 - 3. Factor p(w).\nAnswer: 6*(w - 3)*(w - 1)*(w + 134)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 383401024 - 480*i**2 - 383401024.\nAnswer: -480*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 5. Let k(j) = -4*j - 1. Let b(i) = 9*i + 2. Let m(u) = -3*b(u) - 7*k(u). Let l(n) = -5*m(n) - w(n). Let q(r) = 11*r. Determine q(l(p)).\nAnswer: -44*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7000639, 7000646, 7000657, 7000672?\n\"Answer: 2*j**2 + j + 7000636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m. Let r(n) = -11*n + 264. Let p(i) = 3. Let b(u) = -264*p(u) + 3*r(u). What is x(b(f))?\nAnswer: 66*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6487211 divided by 5?\nAnswer: -6487211\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 3*a = 18. Let i be (-624)\/40 - (24\/(-15) - -1). Let r be (-20)\/i*27\/6. Do a and r have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14233 divided by -19\nAnswer: -14233\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 890634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2. Let o(k) = -3. Suppose 2*j = -0*j + 10. Let p(g) = j*y(g) + 3*o(g). Let c(u) = 2*u**2 - 6*u + 4. Let w(q) = c(q) - 4*p(q). Calculate w(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 689*16\nAnswer: 11024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 12. Let p = h + 12. What is the highest common divisor of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 4:12 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -75.05801 to 2 decimal places.\nAnswer: -75.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -6*i + 2*i**2 - 1 + 4*i - 8*i. Let r be 2 + (-2)\/1 + 7. What is the remainder when z(r) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/1)\/((-105)\/(-735)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 20 = -4*u, 230*t - 235*t + 5 = u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/7)*y*y)\/y**(12\/7))\/((y**(-3\/13)\/y*y)\/(y**3*y)) assuming y is positive.\nAnswer: y**(55\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061082961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**5)\/(g*g**(2\/11)))**(-43) assuming g is positive.\nAnswer: g**(-2279\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 3162*r + 44111. What is n(-14)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 17. Suppose 0 = -4*d + 3*j + z, -3*d - 8 = -5*d - 2*j. Let w = 3 - -2. Which is the smallest value? (a) 3\/4 (b) w (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3\/2 - 4881*z**2\/2 + 114552*z - 1364256.\nAnswer: 3*(z - 1579)*(z - 24)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4665834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 4 - 435\/140. Let g = -4.87 + 4.57. What is the closest to 0.1 in 2\/3, j, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 86191200 from 0.01.\nAnswer: -86191199.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06394 + 60?\nAnswer: 59.93606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1986*f**5 + 470*f**3 - 8*f**2 - 2230799*f - 2 wrt f.\nAnswer: -39720*f**3 + 2820*f - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1688 + -1687.7. Which is the nearest to h? (a) 1 (b) 0 (c) 17 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, j: 7, i: 7}. Give prob of picking 3 j.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**5\/(j*j**(-1\/11)*j)*j\/((j**(-9)\/j)\/j)*j**(-2\/7)\/j*j*j assuming j is positive.\nAnswer: j**(1217\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 518 + -524. Is -31\/6 <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -182, 5, -4, 3, -5 in ascending order.\nAnswer: -182, -5, -4, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01 - -5.21. Let b = g + -5.19999922. What is b rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/10 and ((-58)\/440)\/(9 - (-185)\/(-20)).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147*(-184)\/11868*43.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1452) - sqrt(1452)*-5)\/(sqrt(484) + -3*sqrt(484)).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 11 - 3*o**3 - 22.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5*n - 2 = 8, -3*b - 5*n = 0. Suppose -98 = -2*r - b*v + 64, 5*v = -10. Which is bigger: r or 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 98719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/6*(-102 + (-20904)\/(-208))?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-6))\/(29\/87).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.86219 plus 209.1?\nAnswer: 209.96219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 14. Let f be z(8). Let q = f - 3. Suppose 3*o - q = -3*y - y, o + 4*y - 1 = 0. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70724 (base 8) to base 14\nAnswer: a896","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*u - 149 = -36, -u = 5. Find the second derivative of 5*i**3 - 5*i**3 + 17*i + a*i**5 - 95*i**5 wrt i.\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 10:27 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(1 - 7) + 5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1416 and 72?\nAnswer: 4248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.008 + -6.0080848. What is u rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 300 and 1120.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 2 r, and 1 a when four letters picked without replacement from wrrrorowwrowrmrrarr.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*o + 5*o + 2366 - 771 + 8*o)*(0*o + 3*o - o).\nAnswer: -4*o**2 + 3190*o","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and 18218505298285.\nAnswer: 18218505298290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3352683 and 6286.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62 by -4.\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 45*k**2 + 95*k + 682. Determine p(-44).\nAnswer: -1562","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*y + 10*y + 99. Suppose -3*k = 2*a - 3, -y = -20*a + 23*a. Solve -k*c + 2 = -2*i, -5*c + 2*i = -3*i for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 12:27 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 - 1 + 1)*((3 - 4 + 3)*(k + 2 - 2) + 0*k + 2*k + 0*k - 12*k + 11*k + 6*k - 3*k + 0 + 0).\nAnswer: -18*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**5\/3 - 3*j**4 + 6*j**3 + 22*j**2\/3 - 17*j - 15 = 0 for j.\nAnswer: -1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q + 39 - 88 = i, -4*i = 29*q - 170 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18.977 - -15.977. Is -4.514 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 4*p - 8 = 29, -5*l = 5*p - 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 477 a factor of 53009010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - -28) + -19 + -46?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((8 - 2) + -6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 59128167 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -30. Let p be 4\/(-14) - o\/(-14). Let j be (-4 + (3 - p))\/(-1). Solve j*s - 2 = -3*c + 1, 5*c + 13 = s for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5252 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.5 - -0.5. Which is the biggest value? (a) j (b) -4 (c) 4 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 10. Solve 0 = n*b - 5*b + 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3*f = 8*f. Suppose -4*v - v + 135 = f. What is the remainder when v is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1525353194 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15830588377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of r**5\/60 + r**3\/6 + 3*r**2\/2 + 1. Let l(b) be the second derivative of v(b). Differentiate l(j) wrt j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1651991117 and 7.\nAnswer: -1651991110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of q**5\/20 + 5*q**4\/3 - 10*q**3\/3 - 348*q**2 + q. What is v(-15)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*t + 5*g, -4*t + 4 = -5*g - 3. Suppose -4*m = -0*m - 12. Suppose -5*a = -2*c - 185, m*a + 4*c - 111 = t*c. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27 or 43877?\nAnswer: 43877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 225 - -3333315?\nAnswer: 3333544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 68 - 66. Suppose y = 2*p + 237, -o*p - y - 108 = 135. What is p rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (-6 - -9)) + 3 + -4 + 1\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -46\/2067 or 7\/3?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -909*p + 380*p = 3373 + 330. Let r(n) be the third derivative of -n**6\/120 - 7*n**5\/60 - n**4\/24 - n**3\/3 - n**2. What is r(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 47.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 167 (base 8) to base 14\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29962027?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 558 and -43199.\nAnswer: -24105042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (-4)\/(-2) + -12. Let n be d\/(1\/9*-1). Let b be 0 + -2 + 12 + -1. Calculate the greatest common factor of b and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(-3*sqrt(2)))\/(2*sqrt(6)*3).\nAnswer: -sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (0 + sqrt(128))*-3 + -5.\nAnswer: -24*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9882 = 9957?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -122 (base 6) to base 7\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 9 = -52*y + 61*y, 14 = -8*y + v for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 183750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 y, and 1 d when three letters picked without replacement from {p: 2, y: 1, x: 2, u: 6, b: 1, d: 3}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-17)\/(-3) - 1)\/((-6)\/63). Put -4, t, -5 in increasing order.\nAnswer: t, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -170 minus 126319?\nAnswer: -126489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 5*v**2 - 128*v + 33. What is g(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 - 1)*(-10)\/((-450)\/27). Suppose -3 = s*d + 12. Which is the closest to -0.1? (a) d (b) -2\/3 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*s + 4 = -4*m, -2*m = 4*s - 8. Let g = s + 1. Suppose -5*u + 14 = n + 4, -n - 20 = -5*u. Solve 12 = -g*b + u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9395 is divided by 2337?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 11 = -3*w - 0*w, -4*w = 4. Let p be (-2)\/m - (-520)\/91. What are the prime factors of p*1*23\/3?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36 - 38) + (1 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9709 or 9765?\nAnswer: 9709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 18185, 36365, 54539, 72707, 90869, 109025?\n\"Answer: -3*w**2 + 18189*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -13. Let h = f - 5. What is the third derivative of -5*u**3 + 6*u**2 - h*u**2 + 3*u**3 wrt u?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 53*q - 51*q = -8, 32*q = 4*m + 52 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -1 + sqrt(847) + 1)*-5 + (-2 + -5 + (sqrt(343) - (sqrt(343) + sqrt(343) + 0 - sqrt(343))))*2)**2.\nAnswer: 3190*sqrt(7) + 22016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 11*z + 194. Give u(-17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 170 and 44117.\nAnswer: 44287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100111111000011010101101 (base 2) to base 4.\nAnswer: 213320122231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 360 divide 4818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + d. Let w(p) = 10*p**2 + 2*p + 9. Calculate -4*q(v) + w(v).\nAnswer: 6*v**2 - 2*v + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + 3 + 1 - 5*b - 1 to the form m*b + i and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/10 in 0, -2, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126240 is divided by 37915?\nAnswer: 12495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 633129 or 633172?\nAnswer: 633172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61*s - 43 - 23*s - 23*s - 14*s to t*s + c and give c.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -56*w + 66*w. What is the units digit of w + 2 + 32 + -24?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y + 18 = 21*y. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -39, -27, 9, 81, 201?\n\"Answer: 2*h**3 - 2*h - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1923+-16649487044\nAnswer: -16649487044.1923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) + 0)*1)**2.\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 189 and 4960305.\nAnswer: 4960305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13468 - 13467.431. Which is bigger: 0.01 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 d when three letters picked without replacement from dmzzddmzzmdiidzmzd?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -762 = 62*o + 2090. Suppose -5*l + 4*l - 42 = 0. Let a = l - o. Calculate the remainder when 5 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 6 - 2)*(-2 + 2 + 2*q**4) + 3*q**4 - 6 + 6 + (0*q**4 - q**4 + 3*q**4)*(-116 - 284 - 61) as k*q**3 + a*q + x + z*q**4 + t*q**2 and give z.\nAnswer: -917","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*sqrt(187)*5*2)\/((sqrt(1331) + sqrt(1331)*2)*2 + sqrt(1331)).\nAnswer: -3 - 10*sqrt(17)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1464 and 3477.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/2*(-12)\/10. Let i be 2*(-13)\/2*-1. Let x = i - q. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.96 - -0.04. Let w = -2 + h. Let t = 0.04 - -0.06. Sort 1, t, w in descending order.\nAnswer: 1, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1 - 0) + -4)\/(-1). Let l(z) = -7*z**3 + 5*z**2 - 5*z. Let t = -19282 + 19290. Let n(s) = 10*s**3 - 8*s**2 + 8*s. Give i*n(q) + t*l(q).\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from qquqquuuquuuqquqqu.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*h**2*y**2 + 214*h*y**2 - 4853*y**2 wrt h?\nAnswer: -4*h*y**2 + 214*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10070 or 10064?\nAnswer: 10070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w = -222 + 299 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -9598*w + 14022663. Determine r(1461).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**2 - 64 + 64.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in -247, -5, 25, 1\/19, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/104*(-16)\/86?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2322458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 425666835 to the power of 1\/2, to the nearest integer?\nAnswer: 20632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -2*c**4\/3 + 558*c. Let t(g) = g - 42. Give t(v(q)).\nAnswer: -8*q**2 - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 7*g + 24. Calculate s(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29611676?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 137010*b**5*l*p + 15*b**3*p**2 + 4*b**2 - 2*b*l*p**2 - 289*b*p**2 - l*p**2 - 5*l wrt b?\nAnswer: 8220600*b**2*l*p + 90*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2414043473?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -167.52669 rounded to 0 dps?\nAnswer: -168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/35 - -16\/35. Let c = -1 - 1.7. Let b = 3 + c. Sort b, g, 0.\nAnswer: 0, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 8:48 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 11011596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37939581?\nAnswer: 3, 23, 183283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41\/888 or 1?\nAnswer: -41\/888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.74478 rounded to 2 dps?\nAnswer: 2.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5*c**2 - c - 20. Let o be -3*(-9 - -3) + -9. Is b(o) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 2*t - 612 - 597, -5*j + 2493 = 4*t. Is 5 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14166182077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 6:20 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s. Let u(l) = 5*l**2 - 6*l - 1. Give -u(q) - 2*x(q).\nAnswer: -5*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 528 and 768?\nAnswer: 8448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 919802 is divided by 210.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68798 - 547*w + 68798 + (2*w + w - 5*w)*(4 - 1 - 1) + (-2 - 3 + 4)*(3*w + 2*w - 3*w) to x + b*w and give b.\nAnswer: -553","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -79*c**7\/210 + 7*c**4\/3 + 4*c**2 - 21. What is the second derivative of s(i) wrt i?\nAnswer: -948*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/4*(-224)\/42. Solve l - 4*d - 3 = 0, u*l - 2*d + 5*d = -7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9\/28 (b) -2 (c) -0.5 (d) 24 (e) 1 (f) 22\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16105*n**3 - 17166*n**2?\nAnswer: -96630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1, 17, 33, 49, 65?\n\"Answer: 16*s - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 = -q + 60 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -8*o - 25. Let p be g(-4). Solve 0 = p*u - 4*u - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53 + -56. What is the nearest to 18 in -0.3, -5, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 + -4.1. Let l = -0.5 + y. Let q be 6\/27 - 22\/18. Which is the second smallest value? (a) -5 (b) l (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -107*s**3 + s**2 - 2*s - 7. Is f(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + 0*q**2 - q**2)*(3*q**3 - q**3 + 0*q**3) + (6*q**3 + 27*q**3 + 57*q**3)*(2 - 2*q**2 - 2).\nAnswer: -184*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 8:16 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a century in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 36\/6 + 0 + 2*-2. Let v(w) = 8 - 2 + w + 3*w - i*w. Let c(d) = -1. Let k(z) = 2*z + 2. Let b(m) = -2*c(m) - k(m). Calculate b(v(x)).\nAnswer: -4*x - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**5 + 96*i**4 + 2484*i**3 + 8464*i**2.\nAnswer: i**2*(i + 4)*(i + 46)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**3 - 20*u**2 + 38*u + 2. Calculate h(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -34. Let n = -7.5 + x. What is the second smallest value in n, 0, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*sqrt(45) + sqrt(5))**2.\nAnswer: 16*sqrt(5) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.462 rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 195 and 8?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-3) + 11\/12. Let o = 6.084 + -6. Let j = 0.116 + o. Which is the third biggest value? (a) 0 (b) v (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/4 - (-1457)\/(-36). Let r = -55 + 191\/2. Let f = r + q. Which is the nearest to 1? (a) -4 (b) f (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -149425, -300839, -454245, -609643, -767033, -926415?\n\"Answer: -996*i**2 - 148426*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 643438420.\nAnswer: 2, 5, 19, 41, 41299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/146047 and -5\/8662.\nAnswer: 17817734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 16 - 1 + 0*s**2 - 36*s**2.\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14240 and 4664312.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -401, -0.1, 4.\nAnswer: -401, -0.1, 1\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 plus -36236?\nAnswer: -36295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 n when three letters picked without replacement from {e: 3, a: 7, m: 6, n: 1}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3)*f*f\/f**(-6\/7))\/(f\/(f**2*f*f)*f*f\/(f*f**(-2\/13))) assuming f is positive.\nAnswer: f**(155\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-17\/4)*d)**(1\/3)*d\/(d*d\/(d**16\/d)*d)*d**(6\/7) assuming d is positive.\nAnswer: d**(1073\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/7 + 2920452*n\/7 - 1066129985538\/7.\nAnswer: -2*(n - 730113)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v = 9*v + 528. Let z = v + 755. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 12*o - 15. What is r(-11)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 8 = 4*l, -2*v - 2 = l + 5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**22\/y**(-2\/45))**(-3\/46) assuming y is positive.\nAnswer: y**(-496\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9409467*i**2*t**4 - 1993908*i**2 + 3*i - 2*t**4 - 1 with respect to t.\nAnswer: -37637868*i**2*t**3 - 8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4034740 to the nearest 100000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*h + 0)*(227*h - 59*h**2 - 227*h + (5*h**2 - 5*h**2 + h**2)*(1 + 2 - 1)).\nAnswer: 114*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - (-60)\/8)*-6. Let u = 50 + z. Solve 8*g = u*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(-28)*v**(1\/47))\/(v**(-23)*v\/(v\/(v*v*v**11))*v) assuming v is positive.\nAnswer: v**(-798\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209 = h - 3*k, -7*k + 2*k = 5*h + 985. What is h rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -11*o**2 - 19*o - 19. Let k(f) = -6*f**2 - 9*f - 9. Let d(q) = 5*k(q) - 3*v(q). Factor d(w).\nAnswer: 3*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*h**2 - 19249820*h + 4812456.\nAnswer: -4*(h + 1203114)*(4*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r. Let i(u) = -4479*u. Determine i(s(t)).\nAnswer: 17916*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vuuuvufqzguuuz. What is prob of sequence vuu?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -614672 (base 11) in base 13?\nAnswer: -28738c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1277 + -3.8723. Sort 0.03, -1\/9, d, 12.\nAnswer: d, -1\/9, 0.03, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -53, -1, -2, 2 in increasing order.\nAnswer: -53, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 5*u + 18 = 32, -4*o - 2 = 3*u for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 + -41. Let n(r) = 3*r**2 - 4*r - 1. Let z be n(m). Differentiate -16 - 24 - z*o + 33 with respect to o.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1\/55887 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/70 - 7\/35. Which is the third smallest value? (a) 11 (b) f (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -287, -1157, -2613, -4661, -7307, -10557?\nAnswer: -14417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 405248197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 10 (b) -153 (c) -3 (d) 0.5 (e) -1\/462\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1586816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**5 + 7065*d**4 - 2368260*d**3 - 90602260*d**2 - 407554080*d - 471758400 = 0 for d.\nAnswer: -30, -3, -2, 724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, o: 2}. Give prob of sequence zz.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1145, -2233, -3321, -4409?\n\"Answer: -1088*v - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/21*(-537138)\/(-21168)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(2\/7))**(-8)\/(f\/f**7*f*f**1))\/((f*f**(-2)\/f)**(-1\/13)*f**(-7)*f*f**7) assuming f is positive.\nAnswer: f**(-261\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-5*(sqrt(72) - (sqrt(72) + -3)) - (3 + 1 + 1*sqrt(72)))**2.\nAnswer: -312*sqrt(2) + 748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180405 is divided by 36072.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 20*k**2 + k - 17. Let z be y(20). Suppose z*p + 3 = 2*t - 1, 4*t - 20 = 0. Suppose p*a + 4*j = 218, 0*a + j + 208 = 2*a. Is 35 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 9:23 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -10 - ((0 - -6 - (-41 + 52)) + 24)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/7*m**4 - 1\/7*m - 3\/7*m**2 - 3\/7*m**3.\nAnswer: -m*(m + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + sqrt(153)) + sqrt(153)*-1 + -3)**2*-2.\nAnswer: -1242 + 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaarararrrraar. What is prob of picking 1 a and 3 r?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*c**3 + c**2 - 5*c**4 - c**2 - 3*c + c - c**2.\nAnswer: -c*(c - 1)**2*(5*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6126 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39 + -38.64. Let y = -8.36 + i. Which is the biggest value? (a) -3\/5 (b) 5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5114807219 to the nearest integer?\nAnswer: 1723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5856 divided by -366\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqmmmqhmq. Give prob of picking 3 q.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 1 + 2*f + f - 4*f. Let g(k) = -3. Let d(j) = g(j) - y(j). Let h = -13 - -17. What is d(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 15*y**2 + 17*y - 13. Let p = 60 + -44. Let g be l(p). Suppose -9 = -5*r - s, -s = r - 2*s + g. What is the third biggest value in r, 3, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 11592*l - 139. List the prime factors of q(1).\nAnswer: 13, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4166?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 5*k + 3. Let m = 2085 + -2074. Calculate g(m).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4.93 or 3\/899?\nAnswer: -4.93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1063167 + -3?\nAnswer: 1063164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 41435607 - -308\nAnswer: 41435915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.7, 1, 1559, 3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004857 rounded to seven decimal places?\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 6*x - 2*t - 14 = -5*t, -93*t - 16 = 4*x - 98*t for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*g**3 + g**4 - 2*g**4 + 19*g**3 + (0*g**2 - 6*g**2 - g**2)*(3 - 3 + g**2).\nAnswer: -8*g**4 - g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16545736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1241, 1249, 1257?\n\"Answer: 8*x + 1233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9\/16127 + 2719523\/10643820. Let g = i + -1\/165. Solve 1\/2*p**3 + 1\/4*p**4 - g - 1\/2*p + 0*p**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**(-2\/7))*j*j*j**2\/j)\/(j\/((j*j*(j\/(j\/(j*j**(5\/2)*j*j)))\/j)\/j)*j**(7\/5)))**(1\/21) assuming j is positive.\nAnswer: j**(407\/1470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 3:18 AM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2653 (base 8) in base 13?\nAnswer: -878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -34, -78, -122, -166, -210, -254?\n\"Answer: -44*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21897 - 56710 = -31*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -1\/336*h**7 + 1\/16*h**2 - 1\/48*h**3 - 1\/48*h**4 + 1\/80*h**5 + 1\/240*h**6 + 7*h + 0. Solve i(w) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 119*x**2 + 188*x - 31273. Determine r(-115).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43731?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 180 divided by -60?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56.67 - -57. Let u = i + -0.72. Let g = u + -0.81. Is 1\/3 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - z = z + 2640000, 1320000 = -2*o - 2*z. Round o to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -0.14.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41*v**2 + 314 - 314)*(4 - 2*v**2 - 4)*(-2*v + 4 - 4).\nAnswer: 164*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 82490849 divided by -22169?\nAnswer: -3721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddbj when four letters picked without replacement from {j: 2, b: 3, n: 3, r: 2, m: 1, d: 4}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 3497.65639 to 1 decimal place.\nAnswer: 3497.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11 - -1 - (-27 - -49)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20684?\nAnswer: 2, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2*x + x - 30 = 0, 0 = 3*z + 5*x - 46. Let r be (-7)\/(z\/12) + 1. Let t = -7 - -12. Sort t, r, 1\/3 in increasing order.\nAnswer: r, 1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 16*k. Let b(t) = t. Determine -6*b(n) + w(n).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*h + 16*h + 7676 = 94*h for h.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (170\/(-25))\/(4\/(-10))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**8\/224 - 11*j**7\/420 + j**6\/16 - 3*j**5\/40 + j**4\/24 - 12*j**2. Suppose i(k) = 0. Calculate k.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1239, 2479, 3719, 4959, 6199?\nAnswer: 7439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*16\/(192\/19).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12460*f**3*n**2 + 267960*f**3*n + 3*f*n**5 wrt n.\nAnswer: 24920*f**3 + 60*f*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/847 and -109\/377300.\nAnswer: 4150300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 - -24. Suppose g = 2*s + 3*s. Calculate the remainder when 1 is divided by 1 - (-4)\/12*s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3.669 * -0.16\nAnswer: 0.58704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1581 = -11*z + 336 - 449. Let o = -342 + 778. Let s = z + o. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*i + 2 = 0. Let p be 15\/(-12) - (-2 - -1). Which is the nearest to -1\/4? (a) i (b) 1\/3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23455 - 23455.079955. Let o = -0.08 - l. Round o to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u - 1. Let t be l(6). Suppose -t = -b + 2. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2614 = 4*f, 8*f + 4*z - 671 = 7*f. What are the prime factors of f?\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 10, b: 4}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/9)\/((-135)\/(-648))?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -40. Calculate the remainder when (x*-4)\/(-2) - 0 is divided by (-6)\/((-120)\/385) + (-3)\/(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88721.24 litres to millilitres.\nAnswer: 88721240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1897, 3798, 5701, 7606?\n\"Answer: j**2 + 1898*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3\/8, -3, -1\/11, 1012 in increasing order.\nAnswer: -5, -3, -1\/11, 3\/8, 1012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 2 = 22 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-92)\/(-9) - (-8)\/(-36). Suppose -7*j = -v*j + 270. Calculate the greatest common divisor of j and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30357713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1238417 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + -7 - (-32 + 3). Find the third derivative of 110*l**4 + 31*l**2 + u*l**5 - 110*l**4 wrt l.\nAnswer: 1560*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ac when two letters picked without replacement from {c: 6, j: 2, a: 1, q: 9, t: 1}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 90 - 90.58. What is m rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccsssssccsc. What is prob of sequence ssc?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 40711534 + -5?\nAnswer: 40711527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x - 4*u - 32, -283852*u = -3*x - 283847*u + 18 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqlqqqlllllql. Give prob of picking 2 l.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -173, -1, -296.\nAnswer: -296, -173, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*o**5\/13 - 1372*o**4\/13 + 1071570*o**3\/13 + 2260192*o**2\/13 + 1300376*o\/13 + 113088\/13 = 0. Calculate o.\nAnswer: -186, -1, -2\/19, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 978\/(-4)*-8*1\/(-12). Let c = t + 186. Calculate the remainder when 182 is divided by c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233655922?\nAnswer: 2, 17, 404249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1338 - 5*c**2 - 95*c - 1338)*(c**2 + c - c - 2*c).\nAnswer: -5*c**4 - 85*c**3 + 190*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 666 = -5*k, -2*k - h - 4*h - 273 = 0. Suppose -258 + 30 = 4*x. Let c = x - k. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - r = 20. Let i be -1 + (2 - 2 - r). Let p = 268 + -268. Solve 3*b + i + 8 = p for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 2, 2*l + 2*l + 5*y = -1. Let f be (l\/(-1))\/(4\/8). Let q be ((-10)\/(-3))\/(f\/3). Put 0, 3, q in ascending order.\nAnswer: q, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**3 - l**2 - 2*l + 18. Let n be 5\/(-3) + 2 - 5\/15. Is 18 a factor of o(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 6*a + 2*a + 1 = 0, 5*a = 2*b - 28. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 6*z - 6. Let o be t(6). Let s(r) = 14*r + 3. Let a(c) = -42*c - 3. Let y(i) = 3*a(i) + 8*s(i). What is the units digit of y(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397369 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6083 - 2450*y + 2426*y - 6083.\nAnswer: -24*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 29 = g, 0 = -11*g + 13*g + 2. Let z = 245 - b. What are the prime factors of z?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*l = 4*l - 3, 3*n + l = -3. Factor 2\/7*q**2 + n*q + 2\/7*q**3 + 0.\nAnswer: 2*q**2*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -2 (b) 0.2 (c) 0 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -10*m - 0*m. Let d be m + 28994\/(-42) + 2\/6. Are 1 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 8:06 AM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zahen. What is prob of picking 1 h and 1 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4434142 - 20431?\nAnswer: 4413211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ebcecccccc. Give prob of picking 2 e and 2 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222*g + 233*g = 44. Factor 1078 + g*i**4 + 100*i**2 - 108*i - 492 - 546 - 36*i**3.\nAnswer: 4*(i - 5)*(i - 2)*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2317472*u**3 - 30561245 with respect to u.\nAnswer: -6952416*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 124.42036 times -0.1\nAnswer: -12.442036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1809*h**3*v**3*z - 4*h**3*v*z - 2*h**2*v**3*z**2 - 4*h*v**2*z**2 - 217*v**2 wrt v.\nAnswer: -10854*h**3*z - 12*h**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -159 (base 11) in base 9?\nAnswer: -225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3182339\/72 - -44200. Calculate the common denominator of -15\/11 and y.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 43*x - 3 + 17.\nAnswer: 43*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -114158 divided by 4?\nAnswer: -57079\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/6 + 494*p**3\/3 + 2*p**2\/3 - 1976*p\/3.\nAnswer: -p*(p - 988)*(p - 2)*(p + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jz when two letters picked without replacement from {z: 2, n: 2, j: 2, u: 6}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 420555.\nAnswer: 3, 5, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/5*18\/(-270)*-5.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 5208.4026ns?\nAnswer: 0.0000000000602824375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3131.\nAnswer: 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.091 and -0.15.\nAnswer: -3.241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 10*r**2 - 46*r - 578. What is the hundreds digit of u(-25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 - 1400*r**2 + 7105*r - 5700.\nAnswer: -5*(r - 4)*(r - 1)*(r + 285)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s + 39 - 5*s - 7*s - 6*s. Let a be l(5). Let q be -3 - 104\/a - 1. Do 0 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*z - 5*z. Let r be z\/(0 - 2 - -24). Let d be (-4*1\/(-5))\/6. Which is the smallest value? (a) 1\/2 (b) r (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, k: 1, h: 1, c: 2, q: 3, y: 3}. Give prob of sequence kq.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 138579995 + (15 + -4 - 6). What is h rounded to the nearest 1000000?\nAnswer: 139000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s + 1. Let o = -97 - -114. Suppose 184 = 15*m - o*m. Let v = m - -95. Determine l(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(((sqrt(200) - (sqrt(200) + -1*sqrt(200) + sqrt(200))) + 2)**2 + sqrt(200)) - ((-4*sqrt(6)*2)\/sqrt(3) + 4)) + -4.\nAnswer: -22*sqrt(2) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 - 25. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -4*x**6 + 5*x**4\/2 + 3847*x**2\/2 + 72. Find the second derivative of n(u) wrt u.\nAnswer: -480*u**3 + 60*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 549240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/(t*(t\/t**(-22))\/t)*t*t**12 assuming t is positive.\nAnswer: t**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1423829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -150 - -117. Let l = p - -44. Calculate the remainder when 49 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 8*z + 2*z**2 - z**2 + 0*z**2 + 0*z**2 + 10. Let h be w(-7). Differentiate 2 - x - x + h*x wrt x.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 115.26 + 5.24. Let b = d - 121. What is the third smallest value in b, -5, -6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.011 - -0.089. What is the nearest to -0.2 in 0, -1\/6, r?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k - 2*k**2 - 10*k + k**2 - 7. Let h be z(-7). Let i = 15 - h. Round i to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 41 and -42861098157.\nAnswer: -42861098116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 218223 = 32*k - 100557. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*t + 1, -2*o + 22 = 2*t. Let j = -26 - -23. What is the remainder when 18 - (-2 + j + 1) is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 111\/5, 0.07, -103, -0.1?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.01, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111 - 100110001011?\nAnswer: -100101110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -93 or -97?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -2*m - 0*l + 5*l, 4*l - 36 = 4*m. Let n(t) = 2*t + 1. Let f be n(1). Put 1, f, m in descending order.\nAnswer: f, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-7))\/f)**28*f*f*f**(1\/3)*f**(8\/7) assuming f is positive.\nAnswer: f**(4189\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5*5\/550*-8\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, o: 2, s: 4, t: 3}. Give prob of sequence tbss.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-6)*((-56)\/(-12))\/(-1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 20*c**2 + 20*c + 12. Let r be x(-18). Suppose -2*d = 5*j - r, d - 82 = -j + 5*d. List the prime factors of j.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -923353.257 rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nnnnnnnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 - -35. What is the second derivative of -18*x**2 + 16*x**p + 18*x + 11*x**2 wrt x?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*p - 10 - 27 + 60*p + 15*p - 2820*p**5 - 25*p wrt p.\nAnswer: -56400*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 5*m**2 + 6*m + 4. Let h be n(-6). Suppose 2*k - w + 12 = -h*w, -3*w = -5*k + 12. Solve 4 = -x - k*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41037 is divided by 13647.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -130 + -4. Let a = k - -121. Let i(c) = 2*c + 27. Let q be i(a). Solve -4*t - 5*u + q = 0, 5*t - t - 5*u + 9 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31962673?\nAnswer: 31962673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 51*o - 1633. Give y(32).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 74.7*-0.303\nAnswer: -22.6341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -640398 - 764633704.\nAnswer: -765274102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1285\/1713 or -0.2?\nAnswer: -1285\/1713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 4)*(2*m + 0*m - m)*(0 + 4*m**2 + 7 - 6).\nAnswer: 24*m**3 + 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 2*w - 127 = -5*j, -5*w - 5 = 0. What is the remainder when j is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)\/sqrt(9))**2 - sqrt(2)*2*3.\nAnswer: -6*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -91*f**3\/6 + f**2\/2 - f. Let z = -12 + 13. Let r be c(z). What is r rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -6*d**2 + 1\/24*d**4 - 1\/6*d**3 + 4*d + 0. Let v(u) = 4. What is v(c) + 4*y(c)?\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1472176 is divided by 1449?\nAnswer: 1441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -108*t - 3*t - 262*t to the form p + h*t and give h.\nAnswer: -373","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*q + 96*q + 8*q + 9*q + 39*q**3.\nAnswer: 39*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 + (59 + -58 - 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 5, -4, -70?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17659030973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/4 (b) -4\/19 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3443178533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 11.02. Let l = 18.29 - 18. Let i = l + -0.39. What is the second biggest value in i, h, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -103.6731 - -2.4551. Round c to the nearest integer.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (672\/(-30))\/((-1)\/25). Suppose 0 = -4*h - 4*u + 572, l = 4*h + u - 3*u. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 41967 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, k: 1, m: 1, x: 1, y: 2, b: 1}. Give prob of sequence mz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 y when two letters picked without replacement from eykykywkkkn.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21291300 a multiple of 1476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/10 - (-7056)\/120. Suppose -376 = -5*q + n + x, 4*n = 20. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -293 - -295. Let d be (-7)\/(-21)*i*15. Solve -3*x = -2*a + d, -3*x + 4*a = 3*a + 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*p**2 + 0*p + 3*p + 1 - 7*p**2 - 7 + 17*p**2 to the form a*p**2 + c + q*p and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26739?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*w - 4*p, 2*w + p + 10 = -p. Let f = -13 - -15. Sort f, -3, w in descending order.\nAnswer: f, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7583.864 + 7584. Which is the closest to o? (a) 3 (b) -2\/19 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 531.7.\nAnswer: -1595.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2519*a - 41758 = 86265 - 19706 for a.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 15*u + 7876 - 50788 = 0. What is the thousands digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 974?\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 12*g + 18. Let i be n(-2). Let o(b) = -3*b**2 - 18*b - 8. Let m(r) = r**2 + 6*r + 3. Let l(p) = i*o(p) - 17*m(p). Give l(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/32*(-10 + 3432\/220)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 5294272.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2568 (base 16) to base 9\nAnswer: 14120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 2:41 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -713 and -692 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 1:43 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence di when two letters picked without replacement from liooadq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -5*g - 120. What is the smallest common multiple of ((-16)\/g + -1)*(25 - -2) and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -5*z**2 + 1203*z - 9968. Calculate u(232).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**2 - 17*q - 17. Let p(b) = 3*b**2 + 26*b + 26. Let t(i) = -8*c(i) - 5*p(i). What is t(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 128 - 36. Let m = i - 92. Put -4\/15, m, 0.2 in decreasing order.\nAnswer: 0.2, m, -4\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/60)\/(8 + (-124)\/16)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.68217559 to four decimal places.\nAnswer: 0.6822","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 211 - 208. Let o(n) = 20*n + s - 2*n**2 - 5*n - n**3 - 17*n. Determine o(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v = 6*v. Suppose -h + 14 = -2*o, 2*o - 3*o = 5*h + 29. Suppose -6*b - 1 = -7*b. Put b, v, o in descending order.\nAnswer: b, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 1. Let k(j) be the second derivative of -j**3\/6 - j**2 - 11*j. What is k(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6255 and 5187.\nAnswer: 10814895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -325 + 489. Suppose 111 = 5*l - i. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2170 = 2*s - 5563 - 4367. Calculate the smallest common multiple of s and 10.\nAnswer: 3880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.8972 litres in millilitres?\nAnswer: 69897.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 519430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 2, d: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16*-78*5\/(-60). Calculate the highest common divisor of c and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 816000 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 11*u**2 + 9*u + 6. Calculate the remainder when 79 is divided by n(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45146 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -217*f**2 - 5*f - 10. Let d(w) = -2387*w**2 - 56*w - 112. Calculate -5*d(g) + 56*s(g).\nAnswer: -217*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 229352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/468303 and -1\/2024.\nAnswer: 3746424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wgwn when four letters picked without replacement from kcgnbcknwkbcwc.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 5*x**2 - 6*x + 3. Let i be r(6). Suppose 0 = -i*m + m - 2. Suppose 0 = -0*j - j + 1. Which is the nearest to j? (a) -1\/5 (b) m (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**7\/12600 + u**6\/1800 - 5*u**4\/24 + 21*u**2. Let j(d) be the second derivative of v(d). Factor j(t).\nAnswer: t*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x + 1312 = -8*x - 4*x. Calculate the greatest common divisor of x and 1558.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -1 + 5. Let d(o) = 0 + o**3 - 6*o**2 + 7 - 14 - r*o**3 + o. Is d(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-42)\/(-4))\/(100\/14400). What is the highest common divisor of o and 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -673 and -14.50972.\nAnswer: -687.50972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 486.333 - 486. Let a = l - -0.067. Sort 0.5, 0.3, a, 4\/9 in descending order.\nAnswer: 0.5, 4\/9, a, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3581159 years in millennia?\nAnswer: 0.0003581159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c**3 + 4*c**3 + 3*c**3)*(1 - 2*c - 1) + (c + 7*c - 4*c)*(-c**2 - 3 + 3)*(4*c - 2*c + 2*c).\nAnswer: -20*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 4 - 5 - 4388*c + 4*c**3.\nAnswer: 4*c**3 - 4388*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.00101 - 0.06899. Which is the nearest to 59? (a) 2\/17 (b) h (c) 4 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v**2 + 11*v - 9. Let h be p(-12). Suppose -6*x - l + 279 = -4*x, 3*l = 2*x - h. Does 22 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -3, -1, -171, 5 in decreasing order.\nAnswer: 5, -1, -3, -8, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -118511.5969304 take away -0.5?\nAnswer: -118511.0969304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 5*n - 33, 0*y - 2*n = -5*y + 50. Suppose 0 = -2*b + 6*b + 32. Calculate the remainder when 14\/(-8)*(-4 + b) is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1444\/3 and -482 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m - 4. Let d be n(9). Let k = -10 + d. Suppose -k*o + 27 = -9. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 51 = 3*h, -m - 3*h = -14 - 1. Let w(d) = 11*d + 64. What is the lowest common multiple of m and w(-5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in seconds?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyggygykg. Give prob of sequence yk.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -43*y**3 + 6. Let p(u) = 44*u**3 - 5. Calculate 4*o(w) + 5*p(w).\nAnswer: 48*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**9*f*f\/(f**(-1)\/f))\/(f**8*f**(1\/7)))**(-6\/13) assuming f is positive.\nAnswer: f**(-204\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v - 3. Let f be l(6). Suppose 14 = f*p + 5. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - 3. Put 0.2, s, -1\/3 in decreasing order.\nAnswer: 0.2, -1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l**5 - 768*l**4 + 15321*l**3 + 45666*l**2 + 17952*l - 11616 = 0. Calculate l.\nAnswer: -2, -1, 1\/3, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*n, h + 2*h - 2*n = -4. Factor h + 0*o + 2\/9*o**4 - 4\/9*o**3 + 2\/9*o**2.\nAnswer: 2*o**2*(o - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*o - 2394 + 733. Is 13 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 44456 and -29?\nAnswer: 44485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-92)\/10*240\/(-160). Which is bigger: -7 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 86. Let q = c + 124. Is 19 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/9*(78\/(-12350)*-25 + (-1716)\/38)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 621 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*r - 71*r + 10*r + r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -0*b + 92. Let y(w) = -115*w + 1007. Let s be y(9). Let m = b - s. Solve -2*p - 4*j - 16 = 0, p + m*j + 20 = -3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+61950531.66199\nAnswer: 61950531.46199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, -47, 0, -26444, -5 in increasing order.\nAnswer: -26444, -47, -5, 0, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, v: 2, t: 5}. Give prob of picking 2 t.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + ((-4)\/(-3))\/(12\/(-36)). Calculate the remainder when 17 is divided by 9 - (-15)\/t - 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 8*j**2 + 2. Let k be y(8). Let o be (6 - k - 3)*3. Solve 0 = -2*r - 4*v - 2, -o*r + 5*v - 3 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 4, 28, 92, 214?\nAnswer: 412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134316.\nAnswer: 2, 3, 7, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 88*c + 9. Let m(o) be the first derivative of o**2\/2 + o + 9. Let h(x) = a(x) - 5*m(x). Is h(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 + 9834152*s + 19668296.\nAnswer: 2*(s + 2)*(s + 4917074)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63769 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204612578?\nAnswer: 2, 17, 354001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1948, -1938, -1928?\n\"Answer: 10*i - 1958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 599 smaller than 638?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*(w*w\/(w*w*w**(6\/7))*w)\/w*(w*w\/(w\/(w**(-6)\/w)))\/w*(w*w*w**(-29))\/(w\/w**(2\/25)) assuming w is positive.\nAnswer: w**(-6086\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -31*w + 28*w - 3*s, 3*s = 3*w + 9. Put -279, 5, w in increasing order.\nAnswer: -279, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h\/h**(1\/7))\/h*h*h*h**(-10))\/(h\/(h*h**(-6\/13)))**(1\/7))**(11\/7) assuming h is positive.\nAnswer: h**(-7216\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174679 + 4*t**2 - 349381 + 174612.\nAnswer: 4*t**2 - 90","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 4*l**4 + l**4 + 2*l - 3*l**4 - l**2 + 4*l**4 to r*l**4 + v*l + t*l**3 + y*l**2 + o and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11, 34, 71, 122, 187, 266, 359?\n\"Answer: 7*u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 7*t**2 + t - 2. Suppose 63 = -5*d + 23. Suppose 0 = -10*x - 19*x + 203. Calculate the remainder when r(d) is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 364 and -0.0749?\nAnswer: -27.2636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292937.\nAnswer: 457, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.47 (b) -46 (c) -102.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(((-1377)\/68)\/(-27)). Sort -1, -3, 5, m in descending order.\nAnswer: 5, -1, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*l**5 + 20*l - 19*l**5 - 6*l + 8*l wrt l?\nAnswer: -480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*k - 2\/11*k**3 + 2\/11*k**2 - 2\/11*k**4 + 2\/11*k**5.\nAnswer: 2*k**2*(k - 1)**2*(k + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 n when three letters picked without replacement from njttnjnnnntnnjntj?\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 738568 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14709059 and -49.2.\nAnswer: -14709108.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-42)\/2 + 2)*-1 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1438*w - 264 = -1471*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 16 - 4)*(2 + 2 - 2)*(3*r**5 - 5*r**5 - 3*r**5).\nAnswer: -150*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1092 + -1)\/((-1)\/3). Let u = p - 4617. Is 3\/(-15) + u\/(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/1*14\/(-49)*14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 5*r**4\/4 + 2965*r**3\/4 + 449785*r**2\/4 + 3022295*r\/4 + 1287735\/2 = 0.\nAnswer: -293, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*v = -890*v - 10402 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 103*v - 14205. Calculate w(153).\nAnswer: 1554","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 480\/(-288) + (3 - 44\/(-12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 832*w + 107349. Calculate j(-129).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/9? (a) -1546 (b) -25 (c) -1\/42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 + 47*c + 48.\nAnswer: -(c - 48)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 166*t - 3514. Give o(16).\nAnswer: -858","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (225841\/26397)\/(11\/15).\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*m - 4*k, 2*m - 5*k = 3*m - 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 8:02 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -78cd6 (base 14) to base 5.\nAnswer: -33342104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22530 = -1115*h + 1121*h. List the prime factors of h.\nAnswer: 5, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -419, -1657, -3701, -6539, -10159, -14549?\n\"Answer: 2*p**3 - 415*p**2 - 7*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 24 (c) -4\/7 (d) -0.4 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, q: 1, p: 1}. Give prob of picking 2 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1283 (base 9) in base 8?\nAnswer: -1706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 1932474.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3102673447 to the nearest integer?\nAnswer: 55702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.8 and -0.05?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -33*g + 99 + 49 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -7*x**3 + 4*x**2 - 4*x. Suppose 16 = 76*d - 80*d. Let o(s) = -6*s**3 + 3*s**2 - 3*s + 1. Give d*o(q) + 3*u(q).\nAnswer: 3*q**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9822627 or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 178, 636, 1372, 2386?\n\"Answer: 139*t**2 + 41*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5507700 or 5507701?\nAnswer: 5507700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 389.80165 to one decimal place.\nAnswer: 389.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -2*l + 352. Calculate the remainder when l is divided by 42.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 3*j + 11, -2875*j - 22 = -2*p - 2870*j for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hvh when three letters picked without replacement from ivihthhiihxhixhhhi?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -278040872 by 8.\nAnswer: -34755109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49*c**4\/3 + 11494*c**3\/3 - 677317*c**2\/3 + 128076*c - 18252.\nAnswer: -(c - 117)**2*(7*c - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -5*r**2 + 4*r**2 - r**2. Let c(p) = -11*p**2 + 6*p - 6. Let k(i) = -100*i**2 + 55*i - 55. Let z(o) = 55*c(o) - 6*k(o). What is z(s(m))?\nAnswer: -20*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4*2*sqrt(68) + sqrt(68)*-1 + sqrt(68) + 5 + 0 + -5.\nAnswer: -5 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i + 4. Determine j(-17).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -182, -140, -92, -38, 22, 88, 160?\n\"Answer: 3*u**2 + 33*u - 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*a + 63*a - 29*a = 26*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-9)\/(-2))*2\/(-8)*235980\/1311?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/13, -1, -4\/37 in decreasing order.\nAnswer: -4\/37, -2\/13, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15\/2334116 or -1?\nAnswer: 15\/2334116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1636572.\nAnswer: 2, 3, 7, 19483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -96.2831027670696 take away -0.4?\nAnswer: -95.8831027670696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*g - 4*g + 3*g)*(1 + g - 1)*(4*g**2 - 2*g**2 - g**2) as z*g**2 + a*g + r + f*g**4 + o*g**3 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3500, 3565, 3632, 3701, 3772, 3845, 3920?\nAnswer: 3997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 519792 is divided by 2291.\nAnswer: 2026","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 578 - 578.1. What is the closest to -2\/3 in -4, -1\/6, 5, o?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*m - 65 = -26 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4734938.028 - 4751097. Let n = -16045 - p. Let c = n - 114. What is c rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/2*26\/1183.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 36.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 63888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b**2 - 9*b + 2. Give w(6).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**4 - 320*n**3 - 5215*n**2 - 19110*n.\nAnswer: 5*n*(n - 78)*(n + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-442)\/1105)\/(4\/(-30)). Factor 7\/4*m**2 - 15\/4*m + 9\/4 - 1\/4*m**n.\nAnswer: -(m - 3)**2*(m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8615240 to the power of 1\/3, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256\/9 + 2\/9*u**3 - 6*u**2 - 104\/3*u = 0. Calculate u.\nAnswer: -4, -1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (57 - 33 + 215 + 235)*(-g**2 + 15*g**2 + 28*g**2) to j*g**2 + l*g + k and give j.\nAnswer: 19908","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33335060*c*d + 6*c*r**2*t - c*r*t - d - r**2 + 210925651*r*t wrt c.\nAnswer: 33335060*d + 6*r**2*t - r*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3029660, -3029676, -3029692?\n\"Answer: -16*y - 3029644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 163, -8, -442, -10, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.036 and -23374.\nAnswer: -841.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 63\/42 - ((-3)\/2 - -1). Let b(h) = 21 + 18 - 9*h**q + 18*h + h**3 - 43 + 29*h**2. Let c be b(-19). What is the greatest common factor of 15 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3a9 + -202?\nAnswer: -5ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4272 + 4272 - 29*w**2.\nAnswer: -29*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 931193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-245)*(-1030)\/(-15). Let v = -2\/49 + c. Let q = 34 + -33. What is the second biggest value in -2, q, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*r - 9 - 12*r - 2*r)*(62*r**2 - 9*r**2 - 161*r**2 - 157*r**2).\nAnswer: 265*r**3 + 2385*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 4*k - 10 = 0. Let p = -0.2 - -1.2. Suppose -z - b + 0 = 3, 2*z - 72*b = -73*b. What is the closest to -1\/3 in k, z, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17.497280024808 + 5\nAnswer: 22.497280024808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 19460\/(-715155)*7*1\/12\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-24 + 8)\/48.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6)*c\/(c**(-2\/7)\/c)*c)\/(c**(-2\/9)\/c**(-3\/8))*(c*c**(-2\/13)*c**(-2\/29))\/(c**7\/((c*c**(-8))\/c)) assuming c is positive.\nAnswer: c**(-3247213\/190008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/2 - 56127*a**2\/2.\nAnswer: -a**2*(a + 56127)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 61044453, 61044452, 61044451?\n\"Answer: -z + 61044454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2 + 2*(3 + 2*sqrt(1053)))**2.\nAnswer: 576*sqrt(13) + 16914","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 325067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, h: 7, u: 3}. Give prob of sequence qhu.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 182, 725, 1630, 2897, 4526, 6517, 8870?\n\"Answer: 181*i**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 19*k + 10 - 13*k - 4*k. What is s(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -2\/5, -1, 2\/111 in ascending order.\nAnswer: -1, -2\/5, -2\/7, 2\/111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 22*f**2. Let d(m) = -145*m. Determine d(l(o)).\nAnswer: -3190*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -29249, -28366, -27483?\n\"Answer: 883*y - 30132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 10:15 PM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4860623 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**4\/4 + 8*x**3\/3 + 4*x**2 + 9*x - 11. Let z be s(9). Let -2*v**2 - 3 - v**2 + 12 + z*v**2 + 6*v = 0. Calculate v.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6389312 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12478, -24957, -37436, -49915?\nAnswer: -62394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + 4*g**2 - 2*g**2 + 3 - 3 - g**2 - 2*g**2 - g + g + (4*g - g - 4*g)*(2*g + 0 + 0) - 4*g**2 + 2*g**2 + g**2)*(0*g**3 - 7*g**3 + 4*g**3).\nAnswer: 15*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 908138*f**2. Let y(m) = 92*m**2 - 2. Calculate y(a(b)).\nAnswer: 75873745688048*b**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 22598.4 plus 4249?\nAnswer: 26847.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 4, 0.4, 5, -4, -0.114?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4.5199 times -26\nAnswer: -117.5174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -69.96 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (-100)\/(-26) + -2. Let l = -1.5 - -1.4. Which is smaller: l or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**19)**(-4\/27)*m**(-24)*(((m\/(m**(-26)\/m)*m*m)\/m)\/m)\/m assuming m is positive.\nAnswer: m**(5\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(44) + -1 - (-1 + sqrt(275) + (sqrt(704) + 1 + sqrt(704))**2)) + 2.\nAnswer: -2815 - 35*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38.94 + 0.06. Let h = y + 21. Let v = h + -59.999884. Round v to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Are -14 and -2819\/185 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -487 - -491. Suppose -5 = 3*q - 5*n, 2*n + 2 = -5*q + 4. Solve q - o = t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1965680111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -55.217*0.5251\nAnswer: -28.9944467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 12:09 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s**2 + 3*s + 4. Let w be z(4). Let t = w + 85. Let u = 1206 - 1173. Calculate the highest common factor of t and u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10595648?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11108, 22793, 34478, 46163, 57848?\n\"Answer: 11685*b - 577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 49*v + 930. Calculate z(-19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, u: 9}. Give prob of sequence uk.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/21)\/(738\/(-1148)). Let x = 4 + -5. Let h be (2 + (-165)\/87)\/x. What is the second smallest value in t, -1\/5, h?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - b**2 + 3*b - 5. Let m be y(0). Sort m, 4, -29 in ascending order.\nAnswer: -29, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000 (base 2) to base 10.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 3*p + 0*p = -71*s + 213, 5*p + 3 = s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -128bc6d (base 14) in base 16?\nAnswer: -887df9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 14*u**2 + 12*u - 6. Let j(o) = -27*o**2 - 27*o + 13. Let k(l) = 4*j(l) + 9*q(l). Let z(i) = -35*i**2 + 5. Determine 5*k(p) + 2*z(p).\nAnswer: 20*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3438, 6834, 10216, 13578, 16914, 20218, 23484, 26706?\n\"Answer: -u**3 - u**2 + 3406*u + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.64 - -0.34. Which is the smallest value? (a) 0.3 (b) -1\/2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 - 14. Let t be (-1)\/m - 10\/35. Let k = 192 - 191.5. What is the third biggest value in -0.1, t, k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-112))\/(2\/14)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 4*o**2 + 2*o + 4. Suppose 0 = 6*k + 5*k + 33. Determine w(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -232 + 46713?\nAnswer: 46471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -6*f**3 - 25*f**2 - 3*f - 302. Is o(-19) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*g - 3. Suppose 0 = -k - g*k. Suppose k = y - 7 - 26. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2328202971?\nAnswer: 3, 479, 540061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/11 (b) 2 (c) 0.1 (d) 1170\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22654 - 22664. Let q(h) = -2*h + 10. Give q(d).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(-175)*14\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -17. What is the second biggest value in p, 4, 1\/8, -3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 102 and -0.007 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -115*k**2 - 17*k - 204. Let w(o) = 77*o**2 + 12*o + 132 + 2 + 2. Let j(h) = 5*d(h) + 7*w(h). What is the derivative of j(y) wrt y?\nAnswer: -72*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 185*f**2 + 38. Let d(r) = -r**2 - 1. Suppose 0 = 3*o - 5*l + 7, -4*o - 35 + 29 = -5*l. Let b(a) = o*c(a) + 2*d(a). Differentiate b(v) wrt v.\nAnswer: 366*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32494 + -16904. List the prime factors of s.\nAnswer: 2, 5, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 149 = -10*u + 45, 5*k + 10 = 0. What is the closest to -1 in u, -8, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -53\/5 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15 + 15)*(-1)\/(-2). Suppose -7*f + 2*f + 545 = o. Suppose -3*i = -f - 17. Calculate the remainder when i is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1411*g**3 + 427*g**3 - 165*g**3.\nAnswer: 1673*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjgggwgggw. Give prob of picking 1 w and 1 j.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5*((sqrt(204) + 1*sqrt(204)*-2)\/((sqrt(12) - sqrt(12)*2)*5 + sqrt(12))*3)**2)*-1.\nAnswer: 797\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 20*m**2 - 2*m + 4. Let v be p(2). Suppose 5*f - 3*f - v = 0. Is 28 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*d - 71*d = -2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90598968 to the nearest integer?\nAnswer: 9518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 4*c. Let k(t) = 2*t**2 - 9*t. Let b(r) = -7*a(r) + 3*k(r). Let o(i) = -3*i**2 + 4*i. Calculate -4*b(w) + o(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 1a79?\nAnswer: -1a79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3147 divided by -3?\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -608*d**2 + 1235*d**2 - 618*d**2. Let v(m) = -11*m. Determine q(v(w)).\nAnswer: 1089*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/6)\/((((-352)\/(-187))\/16)\/4)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 67\/109 in 1\/5, 0.8, 3?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (26\/91)\/(2\/(-28)). Let t be 16\/2 - (2 + 0). What are the prime factors of (4\/m)\/((-2)\/t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/336 and 69\/10?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -1\/10 (c) -5\/4 (d) -0.9 (e) -6\/11 (f) 15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccrcrr. What is prob of sequence ccrr?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -63?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 3035833.842.\nAnswer: -3035830.842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}